RhodeCode

LEMON code without an explicit copyright notice is covered by the following

copyright/license.

Kutatocsoport (Egervary Combinatorial Optimization Research Group,

EGRES).

===========================================================================

Boost Software License, Version 1.0

===========================================================================

Permission is hereby granted, free of charge, to any person or organization

2009-05-13 Version 1.1 released

        This is the second stable release of the 1.x series. It

        features a better coverage of the tools available in the 0.x

        series, a thoroughly reworked LP/MIP interface plus various

        improvements in the existing tools.

        * Much improved M$ Windows support

          ----: Update the LEMON icon

          ----: Enable the component-based installer

                (in installers made by CPACK)

          ----: Set the proper version for CMAKE in the tarballs

                (made by autotools)

          ----: Minor clarification in the LICENSE file

          ----: Add missing unistd.h include to time_measure.h

          #204: Compilation bug fixed in graph_to_eps.h with VS2005

          #230: Build systems check the availability of 'long long' type

          #229: Default implementation of Tolerance<> is used for integer types

          #211,#212: Various fixes for compiling on AIX

          ----: Improvements in CMAKE config

                - docs is installed in share/doc/

                - detects newer versions of Ghostscript

          #239: Fix missing 'inline' specifier in time_measure.h

          #274,#280: Install lemon/config.h

        COIN-OR (Computational Infrastructure for Operations Research,

        http://www.coin-or.org) project is an initiative to spur the

        development of open-source software for the operations research

        community.

2008-10-13 Version 1.0 released

          Migration Guide in the doc for more details)

          * Graph -> Digraph, UGraph -> Graph

          * Edge -> Arc, UEdge -> Edge

          * Concepts

              concepts/graph_components.h)

              (lgf_reader.h, lgf_writer.h)

            * tools to handle the anomalies of calculations with

            * tools to manage RGB colors (color.h)

Heaps are crucial in several algorithms, such as Dijkstra and Prim.

The heap implementations have the same interface, thus any of them can be

used easily in such algorithms.

\sa \ref concepts::Heap "Heap concept"

*/

/**

@defgroup auxdat Auxiliary Data Structures

@ingroup datas

\brief Auxiliary data structures implemented in LEMON.

This group contains some data structures implemented in LEMON in

order to make it easier to implement combinatorial algorithms.

*/

\e functions, too. A length function on the arcs of a digraph is called

conservative if and only if there is no directed cycle of negative total

length. For an arbitrary length function, the negative of the minimum

cycle mean is the smallest \f$\epsilon\f$ value so that increasing the

arc lengths uniformly by \f$\epsilon\f$ results in a conservative length

function.

LEMON contains three algorithms for solving the minimum mean cycle problem:

  \ref dasdan98minmeancycle.

  version of Karp's algorithm \ref dasdan98minmeancycle.

  \ref dasdan98minmeancycle.

*/

/**

@defgroup matching Matching Algorithms

@ingroup algs

\brief Algorithms for finding matchings in graphs and bipartite graphs.

This group contains the algorithms for calculating

///\ingroup misc

///\file

///\brief A tool to parse command line arguments.

namespace lemon {

  ///Exception used by ArgParser

  class ArgParserException : public Exception {

  public:

    enum Reason {

    };

  private:

    Reason _reason;

  public:

    ///Constructor

    ArgParserException(Reason r) throw() : _reason(r) {}

/// \file

/// \brief Bellman-Ford algorithm.

#include <lemon/list_graph.h>

#include <lemon/bits/path_dump.h>

#include <lemon/core.h>

#include <lemon/error.h>

#include <lemon/maps.h>

#include <lemon/path.h>

#include <limits>

namespace lemon {

  ///

  /// This operation traits class defines all computational operations

  /// and constants that are used in the Bellman-Ford algorithm.

  /// The default implementation is based on the \c numeric_limits class.

  /// If the numeric type does not have infinity value, then the maximum

  /// value is used as extremal infinity value.

  template <

    typename V,

    bool has_inf = std::numeric_limits<V>::has_infinity>

  struct BellmanFordDefaultOperationTraits {

    typedef V Value;

    /// \brief Gives back the zero value of the type.

    static Value zero() {

      return static_cast<Value>(0);

    }

    /// \brief Gives back the positive infinity value of the type.

    static Value infinity() {

      return std::numeric_limits<Value>::infinity();

      if (left == infinity() || right == infinity()) return infinity();

      return left + right;

    }

    static bool less(const Value& left, const Value& right) {

      return left < right;

    }

  };

  /// \brief Default traits class of BellmanFord class.

  ///

  /// Default traits class of BellmanFord class.

  /// \param GR The type of the digraph.

  /// \param LEN The type of the length map.

  template<typename GR, typename LEN>

  struct BellmanFordDefaultTraits {

    /// The type of the digraph the algorithm runs on.

    /// The type of the arc lengths.

    typedef typename LEN::Value Value;

    /// \brief Operation traits for Bellman-Ford algorithm.

    ///

    /// It defines the used operations and the infinity value for the

    /// given \c Value type.

    typedef BellmanFordDefaultOperationTraits<Value> OperationTraits;

    /// \brief The type of the map that stores the last arcs of the

    /// shortest paths.

    ///

    /// The type of the map that stores the last

    /// arcs of the shortest paths.

    /// It must conform to the \ref concepts::WriteMap "WriteMap" concept.

    /// The type of the arc lengths.

    typedef typename LEN::Value Value;

    /// \brief Operation traits for Bellman-Ford algorithm.

    ///

    /// It defines the used operations and the infinity value for the

    /// given \c Value type.

    typedef BellmanFordDefaultOperationTraits<Value> OperationTraits;

    /// \brief The type of the map that stores the last

    /// arcs of the shortest paths.

    ///

    /// The type of the map that stores the last arcs of the shortest paths.

    /// It must conform to the \ref concepts::WriteMap "WriteMap" concept.

    typedef typename GR::template NodeMap<typename GR::Arc> PredMap;

namespace lemon {

  /// \brief Default traits class of HartmannOrlinMmc class.

  ///

  /// Default traits class of HartmannOrlinMmc class.

  /// \tparam GR The type of the digraph.

  /// \tparam CM The type of the cost map.

#ifdef DOXYGEN

  template <typename GR, typename CM>

#else

  template <typename GR, typename CM,

    bool integer = std::numeric_limits<typename CM::Value>::is_integer>

#endif

  struct HartmannOrlinMmcDefaultTraits

  {

  /// @{

  /// \brief Implementation of the Hartmann-Orlin algorithm for finding

  /// a minimum mean cycle.

  ///

  /// This class implements the Hartmann-Orlin algorithm for finding

  /// a directed cycle of minimum mean cost in a digraph

  /// \ref amo93networkflows, \ref dasdan98minmeancycle.

  /// it applies an efficient early termination scheme.

  /// It runs in time O(ne) and uses space O(n<sup>2</sup>+e).

  ///

  /// \tparam GR The type of the digraph the algorithm runs on.

  /// \tparam CM The type of the cost map. The default

  /// map type is \ref concepts::Digraph::ArcMap "GR::ArcMap<int>".

  /// \tparam TR The traits class that defines various types used by the

  /// algorithm. By default, it is \ref HartmannOrlinMmcDefaultTraits

    pp = const_bf_test.negativeCycle();

    for (BF::ActiveIt it(const_bf_test); it != INVALID; ++it) {}

  }

  {

    BF::SetPredMap<concepts::ReadWriteMap<Node,Arc> >

      ::SetDistMap<concepts::ReadWriteMap<Node,Value> >

      ::SetOperationTraits<BellmanFordDefaultOperationTraits<Value> >

      ::Create bf_test(gr,length);

    LengthMap length_map;

    concepts::ReadWriteMap<Node,Arc> pred_map;

    concepts::ReadWriteMap<Node,Value> dist_map;

    bf_test

      .lengthMap(length_map)