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alpar (Alpar Juttner)
alpar@cs.elte.hu
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Copyright (C) 2003-2009 Egervary Jeno Kombinatorikus Optimalizalasi
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Copyright (C) 2003-2010 Egervary Jeno Kombinatorikus Optimalizalasi
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Kutatocsoport (Egervary Combinatorial Optimization Research Group,
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2010-03-19 Version 1.2 released
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        This is major feature release
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        * New algorithms
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          * Bellman-Ford algorithm (#51)
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          * Minimum mean cycle algorithms (#179)
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            * Karp, Hartman-Orlin and Howard algorithms
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          * New minimum cost flow algorithms (#180)
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            * Cost Scaling algorithms
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            * Capacity Scaling algorithm
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            * Cycle-Canceling algorithms
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          * Planarity related algorithms (#62)
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            * Planarity checking algorithm
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            * Planar embedding algorithm
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            * Schnyder's planar drawing algorithm
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            * Coloring planar graphs with five or six colors
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          * Fractional matching algorithms (#314)
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        * New data structures
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          * StaticDigraph structure (#68)
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          * Several new priority queue structures (#50, #301)
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            * Fibonacci, Radix, Bucket, Pairing, Binomial
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              D-ary and fourary heaps (#301)
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          * Iterable map structures (#73)
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        * Other new tools and functionality
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          * Map utility functions (#320)
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          * Reserve functions are added to ListGraph and SmartGraph (#311)
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          * A resize() function is added to HypercubeGraph (#311)
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          * A count() function is added to CrossRefMap (#302)
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          * Support for multiple targets in Suurballe using fullInit() (#181)
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          * Traits class and named parameters for Suurballe (#323)
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          * Separate reset() and resetParams() functions in NetworkSimplex
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            to handle graph changes (#327)
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          * tolerance() functions are added to HaoOrlin (#306)
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        * Implementation improvements
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          * Improvements in weighted matching algorithms (#314)
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            * Jumpstart initialization
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          * ArcIt iteration is based on out-arc lists instead of in-arc lists
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            in ListDigraph (#311)
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          * Faster add row operation in CbcMip (#203)
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          * Better implementation for split() in ListDigraph (#311)
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          * ArgParser can also throw exception instead of exit(1) (#332)
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        * Miscellaneous
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          * A simple interactive bootstrap script
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          * Doc improvements (#62,#180,#299,#302,#303,#304,#307,#311,#331,#315,
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                #316,#319)
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            * BibTeX references in the doc (#184)
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          * Optionally use valgrind when running tests
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          * Also check ReferenceMapTag in concept checks (#312)
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          * dimacs-solver uses long long type by default.
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        * Several bugfixes (compared to release 1.1):
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          #295: Suppress MSVC warnings using pragmas
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          ----: Various CMAKE related improvements
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                * Remove duplications from doc/CMakeLists.txt
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                * Rename documentation install folder from 'docs' to 'html'
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                * Add tools/CMakeLists.txt to the tarball
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                * Generate and install LEMONConfig.cmake
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                * Change the label of the html project in Visual Studio
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                * Fix the check for the 'long long' type
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                * Put the version string into config.h
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                * Minor CMake improvements
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                * Set the version to 'hg-tip' if everything fails
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          #311: Add missing 'explicit' keywords
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          #302: Fix the implementation and doc of CrossRefMap
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          #308: Remove duplicate list_graph.h entry from source list
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          #307: Bugfix in Preflow and Circulation
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          #305: Bugfix and extension in the rename script
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          #312: Also check ReferenceMapTag in concept checks
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          #250: Bugfix in pathSource() and pathTarget()
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          #321: Use pathCopy(from,to) instead of copyPath(to,from)
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          #322: Distribure LEMONConfig.cmake.in
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          #330: Bug fix in map_extender.h
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          #336: Fix the date field comment of graphToEps() output
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          #323: Bug fix in Suurballe
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          #335: Fix clear() function in ExtendFindEnum
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          #337: Use void* as the LPX object pointer
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          #317: Fix (and improve) error message in mip_test.cc
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                Remove unnecessary OsiCbc dependency
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          #356: Allow multiple executions of weighted matching algorithms (#356)
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2009-05-13 Version 1.1 released
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          #204: Compilation bug fixed in graph_to_eps.h with VS2005
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          #214,#215: windows.h should never be included by lemon headers
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          #214,#215: windows.h should never be included by LEMON headers
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          #230: Build systems check the availability of 'long long' type
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/**
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@defgroup matrices Matrices
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@ingroup datas
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\brief Two dimensional data storages implemented in LEMON.
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This group contains two dimensional data storages implemented in LEMON.
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*/
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/**
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@defgroup auxdat Auxiliary Data Structures
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LEMON contains three algorithms for solving the minimum mean cycle problem:
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- \ref Karp "Karp"'s original algorithm \ref amo93networkflows,
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- \ref KarpMmc Karp's original algorithm \ref amo93networkflows,
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  \ref dasdan98minmeancycle.
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- \ref HartmannOrlin "Hartmann-Orlin"'s algorithm, which is an improved
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- \ref HartmannOrlinMmc Hartmann-Orlin's algorithm, which is an improved
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  version of Karp's algorithm \ref dasdan98minmeancycle.
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- \ref Howard "Howard"'s policy iteration algorithm
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- \ref HowardMmc Howard's policy iteration algorithm
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  \ref dasdan98minmeancycle.
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In practice, the Howard algorithm proved to be by far the most efficient
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one, though the best known theoretical bound on its running time is
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exponential.
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Both Karp and HartmannOrlin algorithms run in time O(ne) and use space
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O(n<sup>2</sup>+e), but the latter one is typically faster due to the
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applied early termination scheme.
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In practice, the \ref HowardMmc "Howard" algorithm proved to be by far the
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most efficient one, though the best known theoretical bound on its running
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time is exponential.
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Both \ref KarpMmc "Karp" and \ref HartmannOrlinMmc "Hartmann-Orlin" algorithms
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run in time O(ne) and use space O(n<sup>2</sup>+e), but the latter one is
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typically faster due to the applied early termination scheme.
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*/
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  ///Exception used by ArgParser
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  ///Exception used by ArgParser.
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  ///
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  class ArgParserException : public Exception {
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  public:
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    /// Reasons for failure
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    /// Reasons for failure.
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    ///
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    enum Reason {
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      HELP,         /// <tt>--help</tt> option was given
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      UNKNOWN_OPT,  /// Unknown option was given
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      INVALID_OPT   /// Invalid combination of options
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      HELP,         ///< <tt>--help</tt> option was given.
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      UNKNOWN_OPT,  ///< Unknown option was given.
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      INVALID_OPT   ///< Invalid combination of options.
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    };
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#include <lemon/maps.h>
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#include <lemon/tolerance.h>
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#include <lemon/path.h>
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  /// \brief Default operation traits for the BellmanFord algorithm class.
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  /// \brief Default OperationTraits for the BellmanFord algorithm class.
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  ///
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  /// value is used as extremal infinity value.
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  ///
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  /// \see BellmanFordToleranceOperationTraits
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  template <
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  struct BellmanFordDefaultOperationTraits {
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    /// \brief Value type for the algorithm.
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    /// \e
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    typedef V Value;
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  /// \brief Operation traits for the BellmanFord algorithm class
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  /// using tolerance.
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  ///
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  /// This operation traits class defines all computational operations
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  /// and constants that are used in the Bellman-Ford algorithm.
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  /// The only difference between this implementation and
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  /// \ref BellmanFordDefaultOperationTraits is that this class uses
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  /// the \ref Tolerance "tolerance technique" in its \ref less()
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  /// function.
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  ///
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  /// \tparam V The value type.
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  /// \tparam eps The epsilon value for the \ref less() function.
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  /// By default, it is the epsilon value used by \ref Tolerance
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  /// "Tolerance<V>".
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  ///
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  /// \see BellmanFordDefaultOperationTraits
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#ifdef DOXYGEN
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  template <typename V, V eps>
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#else
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  template <
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    typename V,
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    V eps = Tolerance<V>::def_epsilon>
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#endif
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  struct BellmanFordToleranceOperationTraits {
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    /// \brief Value type for the algorithm.
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    typedef V Value;
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    /// \brief Gives back the zero value of the type.
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    static Value zero() {
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      return static_cast<Value>(0);
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    }
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    /// \brief Gives back the positive infinity value of the type.
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    static Value infinity() {
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      return std::numeric_limits<Value>::infinity();
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    }
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    /// \brief Gives back the sum of the given two elements.
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    static Value plus(const Value& left, const Value& right) {
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      return left + right;
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    }
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    /// \brief Gives back \c true only if the first value is less than
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    /// the second.
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    static bool less(const Value& left, const Value& right) {
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      return left + eps < right;
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    }
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  };
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  /// \brief Default traits class of BellmanFord class.
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    /// given \c Value type.
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    /// \see BellmanFordDefaultOperationTraits,
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    /// BellmanFordToleranceOperationTraits
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    /// \see BellmanFordDefaultOperationTraits
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    typedef BellmanFordDefaultOperationTraits<Value> OperationTraits;
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    /// given \c Value type.
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    /// \see BellmanFordDefaultOperationTraits,
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    /// BellmanFordToleranceOperationTraits
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    /// \see BellmanFordDefaultOperationTraits
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    typedef BellmanFordDefaultOperationTraits<Value> OperationTraits;
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  /// \tparam CM The type of the cost map.
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  /// It must conform to the \ref concepts::Rea_data "Rea_data" concept.
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  /// It must conform to the \ref concepts::ReadMap "ReadMap" concept.
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#ifdef DOXYGEN
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  /// \ref amo93networkflows, \ref dasdan98minmeancycle.
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  /// It is an improved version of \ref Karp "Karp"'s original algorithm,
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  /// It is an improved version of \ref KarpMmc "Karp"'s original algorithm,
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  /// it applies an efficient early termination scheme.
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      ::SetOperationTraits<BellmanFordDefaultOperationTraits<Value> >
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      ::SetOperationTraits<BellmanFordToleranceOperationTraits<Value, 0> >
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      ::Create bf_test(gr,length);
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