lemon/concepts/path.h
author Peter Kovacs <kpeter@inf.elte.hu>
Thu, 12 Nov 2009 23:26:13 +0100
changeset 806 fa6f37d7a25b
parent 559 c5fd2d996909
child 976 426a704d7483
permissions -rw-r--r--
Entirely rework CapacityScaling (#180)

- Use the new interface similarly to NetworkSimplex.
- Rework the implementation using an efficient internal structure
for handling the residual network. This improvement made the
code much faster (up to 2-5 times faster on large graphs).
- Handle GEQ supply type (LEQ is not supported).
- Handle negative costs for arcs of finite capacity.
(Note that this algorithm cannot handle arcs of negative cost
and infinite upper bound, thus it returns UNBOUNDED if such
an arc exists.)
- Extend the documentation.
     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 The concept of paths
    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     /// In a sense, a path can be treated as a list of arcs.
    42     /// LEMON path types just store this list. As a consequence, they cannot
    43     /// enumerate the nodes on the path directly and a zero length path
    44     /// cannot store its source node.
    45     ///
    46     /// The arcs of a path should be stored in the order of their directions,
    47     /// i.e. the target node of each arc should be the same as the source
    48     /// node of the next arc. This consistency could be checked using
    49     /// \ref checkPath().
    50     /// The source and target nodes of a (consistent) path can be obtained
    51     /// using \ref pathSource() and \ref pathTarget().
    52     ///
    53     /// A path can be constructed from another path of any type using the
    54     /// copy constructor or the assignment operator.
    55     ///
    56     /// \tparam GR The digraph type in which the path is.
    57     template <typename GR>
    58     class Path {
    59     public:
    60 
    61       /// Type of the underlying digraph.
    62       typedef GR Digraph;
    63       /// Arc type of the underlying digraph.
    64       typedef typename Digraph::Arc Arc;
    65 
    66       class ArcIt;
    67 
    68       /// \brief Default constructor
    69       Path() {}
    70 
    71       /// \brief Template copy constructor
    72       template <typename CPath>
    73       Path(const CPath& cpath) {}
    74 
    75       /// \brief Template assigment operator
    76       template <typename CPath>
    77       Path& operator=(const CPath& cpath) {
    78         ignore_unused_variable_warning(cpath);
    79         return *this;
    80       }
    81 
    82       /// Length of the path, i.e. the number of arcs on the path.
    83       int length() const { return 0;}
    84 
    85       /// Returns whether the path is empty.
    86       bool empty() const { return true;}
    87 
    88       /// Resets the path to an empty path.
    89       void clear() {}
    90 
    91       /// \brief LEMON style iterator for enumerating the arcs of a path.
    92       ///
    93       /// LEMON style iterator class for enumerating the arcs of a path.
    94       class ArcIt {
    95       public:
    96         /// Default constructor
    97         ArcIt() {}
    98         /// Invalid constructor
    99         ArcIt(Invalid) {}
   100         /// Sets the iterator to the first arc of the given path
   101         ArcIt(const Path &) {}
   102 
   103         /// Conversion to \c Arc
   104         operator Arc() const { return INVALID; }
   105 
   106         /// Next arc
   107         ArcIt& operator++() {return *this;}
   108 
   109         /// Comparison operator
   110         bool operator==(const ArcIt&) const {return true;}
   111         /// Comparison operator
   112         bool operator!=(const ArcIt&) const {return true;}
   113         /// Comparison operator
   114         bool operator<(const ArcIt&) const {return false;}
   115 
   116       };
   117 
   118       template <typename _Path>
   119       struct Constraints {
   120         void constraints() {
   121           Path<Digraph> pc;
   122           _Path p, pp(pc);
   123           int l = p.length();
   124           int e = p.empty();
   125           p.clear();
   126 
   127           p = pc;
   128 
   129           typename _Path::ArcIt id, ii(INVALID), i(p);
   130 
   131           ++i;
   132           typename Digraph::Arc ed = i;
   133 
   134           e = (i == ii);
   135           e = (i != ii);
   136           e = (i < ii);
   137 
   138           ignore_unused_variable_warning(l);
   139           ignore_unused_variable_warning(pp);
   140           ignore_unused_variable_warning(e);
   141           ignore_unused_variable_warning(id);
   142           ignore_unused_variable_warning(ii);
   143           ignore_unused_variable_warning(ed);
   144         }
   145       };
   146 
   147     };
   148 
   149     namespace _path_bits {
   150 
   151       template <typename _Digraph, typename _Path, typename RevPathTag = void>
   152       struct PathDumperConstraints {
   153         void constraints() {
   154           int l = p.length();
   155           int e = p.empty();
   156 
   157           typename _Path::ArcIt id, i(p);
   158 
   159           ++i;
   160           typename _Digraph::Arc ed = i;
   161 
   162           e = (i == INVALID);
   163           e = (i != INVALID);
   164 
   165           ignore_unused_variable_warning(l);
   166           ignore_unused_variable_warning(e);
   167           ignore_unused_variable_warning(id);
   168           ignore_unused_variable_warning(ed);
   169         }
   170         _Path& p;
   171       };
   172 
   173       template <typename _Digraph, typename _Path>
   174       struct PathDumperConstraints<
   175         _Digraph, _Path,
   176         typename enable_if<typename _Path::RevPathTag, void>::type
   177       > {
   178         void constraints() {
   179           int l = p.length();
   180           int e = p.empty();
   181 
   182           typename _Path::RevArcIt id, i(p);
   183 
   184           ++i;
   185           typename _Digraph::Arc ed = i;
   186 
   187           e = (i == INVALID);
   188           e = (i != INVALID);
   189 
   190           ignore_unused_variable_warning(l);
   191           ignore_unused_variable_warning(e);
   192           ignore_unused_variable_warning(id);
   193           ignore_unused_variable_warning(ed);
   194         }
   195         _Path& p;
   196       };
   197 
   198     }
   199 
   200 
   201     /// \brief A skeleton structure for path dumpers.
   202     ///
   203     /// A skeleton structure for path dumpers. The path dumpers are
   204     /// the generalization of the paths, they can enumerate the arcs
   205     /// of the path either in forward or in backward order.
   206     /// These classes are typically not used directly, they are rather
   207     /// used to be assigned to a real path type.
   208     ///
   209     /// The main purpose of this concept is that the shortest path
   210     /// algorithms can enumerate the arcs easily in reverse order.
   211     /// In LEMON, such algorithms give back a (reverse) path dumper that
   212     /// can be assigned to a real path. The dumpers can be implemented as
   213     /// an adaptor class to the predecessor map.
   214     ///
   215     /// \tparam GR The digraph type in which the path is.
   216     template <typename GR>
   217     class PathDumper {
   218     public:
   219 
   220       /// Type of the underlying digraph.
   221       typedef GR Digraph;
   222       /// Arc type of the underlying digraph.
   223       typedef typename Digraph::Arc Arc;
   224 
   225       /// Length of the path, i.e. the number of arcs on the path.
   226       int length() const { return 0;}
   227 
   228       /// Returns whether the path is empty.
   229       bool empty() const { return true;}
   230 
   231       /// \brief Forward or reverse dumping
   232       ///
   233       /// If this tag is defined to be \c True, then reverse dumping
   234       /// is provided in the path dumper. In this case, \c RevArcIt
   235       /// iterator should be implemented instead of \c ArcIt iterator.
   236       typedef False RevPathTag;
   237 
   238       /// \brief LEMON style iterator for enumerating the arcs of a path.
   239       ///
   240       /// LEMON style iterator class for enumerating the arcs of a path.
   241       class ArcIt {
   242       public:
   243         /// Default constructor
   244         ArcIt() {}
   245         /// Invalid constructor
   246         ArcIt(Invalid) {}
   247         /// Sets the iterator to the first arc of the given path
   248         ArcIt(const PathDumper&) {}
   249 
   250         /// Conversion to \c Arc
   251         operator Arc() const { return INVALID; }
   252 
   253         /// Next arc
   254         ArcIt& operator++() {return *this;}
   255 
   256         /// Comparison operator
   257         bool operator==(const ArcIt&) const {return true;}
   258         /// Comparison operator
   259         bool operator!=(const ArcIt&) const {return true;}
   260         /// Comparison operator
   261         bool operator<(const ArcIt&) const {return false;}
   262 
   263       };
   264 
   265       /// \brief LEMON style iterator for enumerating the arcs of a path
   266       /// in reverse direction.
   267       ///
   268       /// LEMON style iterator class for enumerating the arcs of a path
   269       /// in reverse direction.
   270       class RevArcIt {
   271       public:
   272         /// Default constructor
   273         RevArcIt() {}
   274         /// Invalid constructor
   275         RevArcIt(Invalid) {}
   276         /// Sets the iterator to the last arc of the given path
   277         RevArcIt(const PathDumper &) {}
   278 
   279         /// Conversion to \c Arc
   280         operator Arc() const { return INVALID; }
   281 
   282         /// Next arc
   283         RevArcIt& operator++() {return *this;}
   284 
   285         /// Comparison operator
   286         bool operator==(const RevArcIt&) const {return true;}
   287         /// Comparison operator
   288         bool operator!=(const RevArcIt&) const {return true;}
   289         /// Comparison operator
   290         bool operator<(const RevArcIt&) const {return false;}
   291 
   292       };
   293 
   294       template <typename _Path>
   295       struct Constraints {
   296         void constraints() {
   297           function_requires<_path_bits::
   298             PathDumperConstraints<Digraph, _Path> >();
   299         }
   300       };
   301 
   302     };
   303 
   304 
   305     ///@}
   306   }
   307 
   308 } // namespace lemon
   309 
   310 #endif