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).
     1 /* -*- mode: C++; indent-tabs-mode: nil; -*-
     2  *
     3  * This file is a part of LEMON, a generic C++ optimization library.
     4  *
     5  * Copyright (C) 2003-2009
     6  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
     7  * (Egervary Research Group on Combinatorial Optimization, EGRES).
     8  *
     9  * Permission to use, modify and distribute this software is granted
    10  * provided that this copyright notice appears in all copies. For
    11  * precise terms see the accompanying LICENSE file.
    12  *
    13  * This software is provided "AS IS" with no warranty of any kind,
    14  * express or implied, and with no claim as to its suitability for any
    15  * purpose.
    16  *
    17  */
    18 
    19 ///\ingroup concept
    20 ///\file
    21 ///\brief Classes for representing paths in digraphs.
    22 ///
    23 
    24 #ifndef LEMON_CONCEPTS_PATH_H
    25 #define LEMON_CONCEPTS_PATH_H
    26 
    27 #include <lemon/core.h>
    28 #include <lemon/concept_check.h>
    29 
    30 namespace lemon {
    31   namespace concepts {
    32 
    33     /// \addtogroup concept
    34     /// @{
    35 
    36     /// \brief A skeleton structure for representing directed paths in
    37     /// a digraph.
    38     ///
    39     /// A skeleton structure for representing directed paths in a
    40     /// digraph.
    41     /// \tparam _Digraph The digraph type in which the path is.
    42     ///
    43     /// In a sense, the path can be treated as a list of arcs. The
    44     /// lemon path type stores just this list. As a consequence it
    45     /// cannot enumerate the nodes in the path and the zero length
    46     /// paths cannot store the source.
    47     ///
    48     template <typename _Digraph>
    49     class Path {
    50     public:
    51 
    52       /// Type of the underlying digraph.
    53       typedef _Digraph Digraph;
    54       /// Arc type of the underlying digraph.
    55       typedef typename Digraph::Arc Arc;
    56 
    57       class ArcIt;
    58 
    59       /// \brief Default constructor
    60       Path() {}
    61 
    62       /// \brief Template constructor
    63       template <typename CPath>
    64       Path(const CPath& cpath) {}
    65 
    66       /// \brief Template assigment
    67       template <typename CPath>
    68       Path& operator=(const CPath& cpath) {
    69         ignore_unused_variable_warning(cpath);
    70         return *this;
    71       }
    72 
    73       /// Length of the path ie. the number of arcs in the path.
    74       int length() const { return 0;}
    75 
    76       /// Returns whether the path is empty.
    77       bool empty() const { return true;}
    78 
    79       /// Resets the path to an empty path.
    80       void clear() {}
    81 
    82       /// \brief LEMON style iterator for path arcs
    83       ///
    84       /// This class is used to iterate on the arcs of the paths.
    85       class ArcIt {
    86       public:
    87         /// Default constructor
    88         ArcIt() {}
    89         /// Invalid constructor
    90         ArcIt(Invalid) {}
    91         /// Constructor for first arc
    92         ArcIt(const Path &) {}
    93 
    94         /// Conversion to Arc
    95         operator Arc() const { return INVALID; }
    96 
    97         /// Next arc
    98         ArcIt& operator++() {return *this;}
    99 
   100         /// Comparison operator
   101         bool operator==(const ArcIt&) const {return true;}
   102         /// Comparison operator
   103         bool operator!=(const ArcIt&) const {return true;}
   104         /// Comparison operator
   105         bool operator<(const ArcIt&) const {return false;}
   106 
   107       };
   108 
   109       template <typename _Path>
   110       struct Constraints {
   111         void constraints() {
   112           Path<Digraph> pc;
   113           _Path p, pp(pc);
   114           int l = p.length();
   115           int e = p.empty();
   116           p.clear();
   117 
   118           p = pc;
   119 
   120           typename _Path::ArcIt id, ii(INVALID), i(p);
   121 
   122           ++i;
   123           typename Digraph::Arc ed = i;
   124 
   125           e = (i == ii);
   126           e = (i != ii);
   127           e = (i < ii);
   128 
   129           ignore_unused_variable_warning(l);
   130           ignore_unused_variable_warning(pp);
   131           ignore_unused_variable_warning(e);
   132           ignore_unused_variable_warning(id);
   133           ignore_unused_variable_warning(ii);
   134           ignore_unused_variable_warning(ed);
   135         }
   136       };
   137 
   138     };
   139 
   140     namespace _path_bits {
   141 
   142       template <typename _Digraph, typename _Path, typename RevPathTag = void>
   143       struct PathDumperConstraints {
   144         void constraints() {
   145           int l = p.length();
   146           int e = p.empty();
   147 
   148           typename _Path::ArcIt id, i(p);
   149 
   150           ++i;
   151           typename _Digraph::Arc ed = i;
   152 
   153           e = (i == INVALID);
   154           e = (i != INVALID);
   155 
   156           ignore_unused_variable_warning(l);
   157           ignore_unused_variable_warning(e);
   158           ignore_unused_variable_warning(id);
   159           ignore_unused_variable_warning(ed);
   160         }
   161         _Path& p;
   162       };
   163 
   164       template <typename _Digraph, typename _Path>
   165       struct PathDumperConstraints<
   166         _Digraph, _Path,
   167         typename enable_if<typename _Path::RevPathTag, void>::type
   168       > {
   169         void constraints() {
   170           int l = p.length();
   171           int e = p.empty();
   172 
   173           typename _Path::RevArcIt id, i(p);
   174 
   175           ++i;
   176           typename _Digraph::Arc ed = i;
   177 
   178           e = (i == INVALID);
   179           e = (i != INVALID);
   180 
   181           ignore_unused_variable_warning(l);
   182           ignore_unused_variable_warning(e);
   183           ignore_unused_variable_warning(id);
   184           ignore_unused_variable_warning(ed);
   185         }
   186         _Path& p;
   187       };
   188 
   189     }
   190 
   191 
   192     /// \brief A skeleton structure for path dumpers.
   193     ///
   194     /// A skeleton structure for path dumpers. The path dumpers are
   195     /// the generalization of the paths. The path dumpers can
   196     /// enumerate the arcs of the path wheter in forward or in
   197     /// backward order.  In most time these classes are not used
   198     /// directly rather it used to assign a dumped class to a real
   199     /// path type.
   200     ///
   201     /// The main purpose of this concept is that the shortest path
   202     /// algorithms can enumerate easily the arcs in reverse order.
   203     /// If we would like to give back a real path from these
   204     /// algorithms then we should create a temporarly path object. In
   205     /// LEMON such algorithms gives back a path dumper what can
   206     /// assigned to a real path and the dumpers can be implemented as
   207     /// an adaptor class to the predecessor map.
   208 
   209     /// \tparam _Digraph  The digraph type in which the path is.
   210     ///
   211     /// The paths can be constructed from any path type by a
   212     /// template constructor or a template assignment operator.
   213     ///
   214     template <typename _Digraph>
   215     class PathDumper {
   216     public:
   217 
   218       /// Type of the underlying digraph.
   219       typedef _Digraph Digraph;
   220       /// Arc type of the underlying digraph.
   221       typedef typename Digraph::Arc Arc;
   222 
   223       /// Length of the path ie. the number of arcs in the path.
   224       int length() const { return 0;}
   225 
   226       /// Returns whether the path is empty.
   227       bool empty() const { return true;}
   228 
   229       /// \brief Forward or reverse dumping
   230       ///
   231       /// If the RevPathTag is defined and true then reverse dumping
   232       /// is provided in the path dumper. In this case instead of the
   233       /// ArcIt the RevArcIt iterator should be implemented in the
   234       /// dumper.
   235       typedef False RevPathTag;
   236 
   237       /// \brief LEMON style iterator for path arcs
   238       ///
   239       /// This class is used to iterate on the arcs of the paths.
   240       class ArcIt {
   241       public:
   242         /// Default constructor
   243         ArcIt() {}
   244         /// Invalid constructor
   245         ArcIt(Invalid) {}
   246         /// Constructor for first arc
   247         ArcIt(const PathDumper&) {}
   248 
   249         /// Conversion to Arc
   250         operator Arc() const { return INVALID; }
   251 
   252         /// Next arc
   253         ArcIt& operator++() {return *this;}
   254 
   255         /// Comparison operator
   256         bool operator==(const ArcIt&) const {return true;}
   257         /// Comparison operator
   258         bool operator!=(const ArcIt&) const {return true;}
   259         /// Comparison operator
   260         bool operator<(const ArcIt&) const {return false;}
   261 
   262       };
   263 
   264       /// \brief LEMON style iterator for path arcs
   265       ///
   266       /// This class is used to iterate on the arcs of the paths in
   267       /// reverse direction.
   268       class RevArcIt {
   269       public:
   270         /// Default constructor
   271         RevArcIt() {}
   272         /// Invalid constructor
   273         RevArcIt(Invalid) {}
   274         /// Constructor for first arc
   275         RevArcIt(const PathDumper &) {}
   276 
   277         /// Conversion to Arc
   278         operator Arc() const { return INVALID; }
   279 
   280         /// Next arc
   281         RevArcIt& operator++() {return *this;}
   282 
   283         /// Comparison operator
   284         bool operator==(const RevArcIt&) const {return true;}
   285         /// Comparison operator
   286         bool operator!=(const RevArcIt&) const {return true;}
   287         /// Comparison operator
   288         bool operator<(const RevArcIt&) const {return false;}
   289 
   290       };
   291 
   292       template <typename _Path>
   293       struct Constraints {
   294         void constraints() {
   295           function_requires<_path_bits::
   296             PathDumperConstraints<Digraph, _Path> >();
   297         }
   298       };
   299 
   300     };
   301 
   302 
   303     ///@}
   304   }
   305 
   306 } // namespace lemon
   307 
   308 #endif