RhodeCode

/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

/**

\dir demo

\brief A collection of demo applications.

This directory contains several simple demo applications, mainly

for educational purposes.

*/

/**

\dir doc

\brief Auxiliary (and the whole generated) documentation.

This directory contains some auxiliary pages and the whole generated

documentation.

*/

/**

\dir test

\brief Test programs.

This directory contains several test programs that check the consistency

of the code.

*/

/**

\dir tools

\brief Some useful executables.

This directory contains the sources of some useful complete executables.

*/

/**

\dir lemon

\brief Base include directory of LEMON.

This is the base directory of LEMON includes, so each include file must be

prefixed with this, e.g.

\code

#include<lemon/list_graph.h>

#include<lemon/dijkstra.h>

\endcode

*/

/**

\dir concepts

\brief Concept descriptors and checking classes.

This directory contains the concept descriptors and concept checking tools.

For more information see the \ref concept "Concepts" module.

*/

/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

/**

@defgroup datas Data Structures

This group describes the several data structures implemented in LEMON.

*/

/**

@defgroup graphs Graph Structures

@ingroup datas

\brief Graph structures implemented in LEMON.

The implementation of combinatorial algorithms heavily relies on

efficient graph implementations. LEMON offers data structures which are

planned to be easily used in an experimental phase of implementation studies,

and thereafter the program code can be made efficient by small modifications.

The most efficient implementation of diverse applications require the

usage of different physical graph implementations. These differences

appear in the size of graph we require to handle, memory or time usage

limitations or in the set of operations through which the graph can be

accessed.  LEMON provides several physical graph structures to meet

the diverging requirements of the possible users.  In order to save on

running time or on memory usage, some structures may fail to provide

some graph features like arc/edge or node deletion.

You are free to use the graph structure that fit your requirements

the best, most graph algorithms and auxiliary data structures can be used

with any graph structure.

<b>See also:</b> \ref graph_concepts "Graph Structure Concepts".

*/

/**

@defgroup maps Maps

@ingroup datas

\brief Map structures implemented in LEMON.

This group describes the map structures implemented in LEMON.

LEMON provides several special purpose maps and map adaptors that e.g. combine

new maps from existing ones.

<b>See also:</b> \ref map_concepts "Map Concepts".

*/

/**

@defgroup graph_maps Graph Maps

@ingroup maps

\brief Special graph-related maps.

This group describes maps that are specifically designed to assign

values to the nodes and arcs of graphs.

/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

namespace lemon {

/*!

\page lgf-format LEMON Graph Format (LGF)

The \e LGF is a <em>column oriented</em>

file format for storing graphs and associated data like

node and edge maps.

Each line with \c '#' first non-whitespace

character is considered as a comment line.

Otherwise the file consists of sections starting with

a header line. The header lines starts with an \c '@' character followed by the

type of section. The standard section types are \c \@nodes, \c

\@arcs and \c \@edges

and \@attributes. Each header line may also have an optional

\e name, which can be use to distinguish the sections of the same

type.

The standard sections are column oriented, each line consists of

<em>token</em>s separated by whitespaces. A token can be \e plain or

\e quoted. A plain token is just a sequence of non-whitespace characters,

while a quoted token is a

character sequence surrounded by double quotes, and it can also

contain whitespaces and escape sequences.

The \c \@nodes section describes a set of nodes and associated

maps. The first is a header line, its columns are the names of the

maps appearing in the following lines.

One of the maps must be called \c

"label", which plays special role in the file.

The following

non-empty lines until the next section describes nodes of the

graph. Each line contains the values of the node maps

associated to the current node.

\code

 @nodes

 label  coordinates  size    title

 1      (10,20)      10      "First node"

 2      (80,80)      8       "Second node"

 3      (40,10)      10      "Third node"

\endcode

The \c \@arcs section is very similar to the \c \@nodes section, it

again starts with a header line describing the names of the maps, but

the \c "label" map is not obligatory here. The following lines

describe the arcs. The first two tokens of each line are the source

/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

///\file

///\brief Some basic non-inline functions and static global data.

#include<lemon/tolerance.h>

#include<lemon/core.h>

namespace lemon {

  float Tolerance<float>::def_epsilon = static_cast<float>(1e-4);

  double Tolerance<double>::def_epsilon = 1e-10;

  long double Tolerance<long double>::def_epsilon = 1e-14;

#ifndef LEMON_ONLY_TEMPLATES

  const Invalid INVALID = Invalid();

#endif

} //namespace lemon

/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

#ifndef LEMON_BITS_DEFAULT_MAP_H

#define LEMON_BITS_DEFAULT_MAP_H

#include <lemon/config.h>

#include <lemon/bits/array_map.h>

#include <lemon/bits/vector_map.h>

//#include <lemon/bits/debug_map.h>

//\ingroup graphbits

//\file

//\brief Graph maps that construct and destruct their elements dynamically.

namespace lemon {

  //#ifndef LEMON_USE_DEBUG_MAP

  template <typename _Graph, typename _Item, typename _Value>

  struct DefaultMapSelector {

    typedef ArrayMap<_Graph, _Item, _Value> Map;

  };

  // bool

  template <typename _Graph, typename _Item>

  struct DefaultMapSelector<_Graph, _Item, bool> {

    typedef VectorMap<_Graph, _Item, bool> Map;

  };

  // char

  template <typename _Graph, typename _Item>

  struct DefaultMapSelector<_Graph, _Item, char> {

    typedef VectorMap<_Graph, _Item, char> Map;

  };

  template <typename _Graph, typename _Item>

  struct DefaultMapSelector<_Graph, _Item, signed char> {

    typedef VectorMap<_Graph, _Item, signed char> Map;

  };

  template <typename _Graph, typename _Item>

  struct DefaultMapSelector<_Graph, _Item, unsigned char> {

    typedef VectorMap<_Graph, _Item, unsigned char> Map;

  };

  // int

  template <typename _Graph, typename _Item>

  struct DefaultMapSelector<_Graph, _Item, signed int> {

    typedef VectorMap<_Graph, _Item, signed int> Map;

  };

/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

#ifndef LEMON_BITS_MAP_EXTENDER_H

#define LEMON_BITS_MAP_EXTENDER_H

#include <iterator>

#include <lemon/bits/traits.h>

#include <lemon/concept_check.h>

#include <lemon/concepts/maps.h>

//\file

//\brief Extenders for iterable maps.

namespace lemon {

  // \ingroup graphbits

  //

  // \brief Extender for maps

  template <typename _Map>

  class MapExtender : public _Map {

  public:

    typedef _Map Parent;

    typedef MapExtender Map;

    typedef typename Parent::Graph Graph;

    typedef typename Parent::Key Item;

    typedef typename Parent::Key Key;

    typedef typename Parent::Value Value;

    class MapIt;

    class ConstMapIt;

    friend class MapIt;

    friend class ConstMapIt;

  public:

    MapExtender(const Graph& graph)

      : Parent(graph) {}

    MapExtender(const Graph& graph, const Value& value)

      : Parent(graph, value) {}

  private:

    MapExtender& operator=(const MapExtender& cmap) {

      return operator=<MapExtender>(cmap);

    }

/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

#ifndef LEMON_BITS_PRED_MAP_PATH_H

#define LEMON_BITS_PRED_MAP_PATH_H

namespace lemon {

  template <typename _Digraph, typename _PredMap>

  class PredMapPath {

  public:

    typedef True RevPathTag;

    typedef _Digraph Digraph;

    typedef typename Digraph::Arc Arc;

    typedef _PredMap PredMap;

    PredMapPath(const Digraph& _digraph, const PredMap& _predMap,

                typename Digraph::Node _target)

      : digraph(_digraph), predMap(_predMap), target(_target) {}

    int length() const {

      int len = 0;

      typename Digraph::Node node = target;

      typename Digraph::Arc arc;

      while ((arc = predMap[node]) != INVALID) {

        node = digraph.source(arc);

        ++len;

      }

      return len;

    }

    bool empty() const {

      return predMap[target] == INVALID;

    }

    class RevArcIt {

    public:

      RevArcIt() {}

      RevArcIt(Invalid) : path(0), current(INVALID) {}

      RevArcIt(const PredMapPath& _path)

        : path(&_path), current(_path.target) {

        if (path->predMap[current] == INVALID) current = INVALID;

      }

      operator const typename Digraph::Arc() const {

        return path->predMap[current];

      }

      RevArcIt& operator++() {

        current = path->digraph.source(path->predMap[current]);

        if (path->predMap[current] == INVALID) current = INVALID;

        return *this;

      }

/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

///\file

///\brief Some basic non-inline functions and static global data.

#include<lemon/bits/windows.h>

#ifdef WIN32

#ifndef WIN32_LEAN_AND_MEAN

#define WIN32_LEAN_AND_MEAN

#endif

#ifndef NOMINMAX

#define NOMINMAX

#endif

#ifdef UNICODE

#undef UNICODE

#endif

#include <windows.h>

#ifdef LOCALE_INVARIANT

#define MY_LOCALE LOCALE_INVARIANT

#else

#define MY_LOCALE LOCALE_NEUTRAL

#endif

#else

#include <unistd.h>

#include <ctime>

#include <sys/times.h>

#include <sys/time.h>

#endif

#include <cmath>

#include <sstream>

namespace lemon {

  namespace bits {

    void getWinProcTimes(double &rtime,

                         double &utime, double &stime,

                         double &cutime, double &cstime)

    {

#ifdef WIN32

      static const double ch = 4294967296.0e-7;

      static const double cl = 1.0e-7;

      FILETIME system;

      GetSystemTimeAsFileTime(&system);

      rtime = ch * system.dwHighDateTime + cl * system.dwLowDateTime;

      FILETIME create, exit, kernel, user;

      if (GetProcessTimes(GetCurrentProcess(),&create, &exit, &kernel, &user)) {

        utime = ch * user.dwHighDateTime + cl * user.dwLowDateTime;

        stime = ch * kernel.dwHighDateTime + cl * kernel.dwLowDateTime;

        cutime = 0;

        cstime = 0;

/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

#ifndef LEMON_CORE_H

#define LEMON_CORE_H

#include <vector>

#include <algorithm>

#include <lemon/config.h>

#include <lemon/bits/enable_if.h>

#include <lemon/bits/traits.h>

#include <lemon/assert.h>

///\file

///\brief LEMON core utilities.

///

///This header file contains core utilities for LEMON.

///It is automatically included by all graph types, therefore it usually

///do not have to be included directly.

namespace lemon {

  /// \brief Dummy type to make it easier to create invalid iterators.

  ///

  /// Dummy type to make it easier to create invalid iterators.

  /// See \ref INVALID for the usage.

  struct Invalid {

  public:

    bool operator==(Invalid) { return true;  }

    bool operator!=(Invalid) { return false; }

    bool operator< (Invalid) { return false; }

  };

  /// \brief Invalid iterators.

  ///

  /// \ref Invalid is a global type that converts to each iterator

  /// in such a way that the value of the target iterator will be invalid.

#ifdef LEMON_ONLY_TEMPLATES

  const Invalid INVALID = Invalid();

#else

  extern const Invalid INVALID;

#endif

  /// \addtogroup gutils

  /// @{

  ///Create convenience typedefs for the digraph types and iterators

  ///This \c \#define creates convenient type definitions for the following

  ///types of \c Digraph: \c Node,  \c NodeIt, \c Arc, \c ArcIt, \c InArcIt,

  ///\c OutArcIt, \c BoolNodeMap, \c IntNodeMap, \c DoubleNodeMap,

  ///\c BoolArcMap, \c IntArcMap, \c DoubleArcMap.

  ///

/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

#ifndef LEMON_DFS_H

#define LEMON_DFS_H

///\ingroup search

///\file

///\brief DFS 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>

namespace lemon {

  ///Default traits class of Dfs class.

  ///Default traits class of Dfs class.

  ///\tparam GR Digraph type.

  template<class GR>

  struct DfsDefaultTraits

  {

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

    typedef GR Digraph;

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

    ///arcs of the %DFS paths.

    ///

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

    ///arcs of the %DFS paths.

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

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

    ///Instantiates a PredMap.

    ///This function instantiates a PredMap.

    ///\param g is the digraph, to which we would like to define the

    ///PredMap.

    static PredMap *createPredMap(const Digraph &g)

    {

      return new PredMap(g);

    }

    ///The type of the map that indicates which nodes are processed.

    ///The type of the map that indicates which nodes are processed.

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

    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;

    ///Instantiates a ProcessedMap.

    ///This function instantiates a ProcessedMap.

/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

#ifndef LEMON_GRAPH_TO_EPS_H

#define LEMON_GRAPH_TO_EPS_H

#include<iostream>

#include<fstream>

#include<sstream>

#include<algorithm>

#include<vector>

#ifndef WIN32

#include<sys/time.h>

#include<ctime>

#else

#include<lemon/bits/windows.h>

#endif

#include<lemon/math.h>

#include<lemon/core.h>

#include<lemon/dim2.h>

#include<lemon/maps.h>

#include<lemon/color.h>

#include<lemon/bits/bezier.h>

#include<lemon/error.h>

///\ingroup eps_io

///\file

///\brief A well configurable tool for visualizing graphs

namespace lemon {

  namespace _graph_to_eps_bits {

    template<class MT>

    class _NegY {

    public:

      typedef typename MT::Key Key;

      typedef typename MT::Value Value;

      const MT ↦

      int yscale;

      _NegY(const MT &m,bool b) : map(m), yscale(1-b*2) {}

      Value operator[](Key n) { return Value(map[n].x,map[n].y*yscale);}

    };

  }

///Default traits class of GraphToEps

///Default traits class of \ref GraphToEps.

///

///\c G is the type of the underlying graph.

template<class G>

struct DefaultGraphToEpsTraits

/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

///\ingroup lemon_io

///\file

///\brief \ref lgf-format "LEMON Graph Format" writer.

#ifndef LEMON_LGF_WRITER_H

#define LEMON_LGF_WRITER_H

#include <iostream>

#include <fstream>

#include <sstream>

#include <algorithm>

#include <vector>

#include <functional>

#include <lemon/core.h>

#include <lemon/maps.h>

#include <lemon/concept_check.h>

#include <lemon/concepts/maps.h>

namespace lemon {

  namespace _writer_bits {

    template <typename Value>

    struct DefaultConverter {

      std::string operator()(const Value& value) {

        std::ostringstream os;

        os << value;

        return os.str();

      }

    };

    template <typename T>

    bool operator<(const T&, const T&) {

      throw FormatError("Label map is not comparable");

    }

    template <typename _Map>

    class MapLess {

    public:

      typedef _Map Map;

      typedef typename Map::Key Item;

    private:

      const Map& _map;

    public:

/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

#ifndef LEMON_LIST_GRAPH_H

#define LEMON_LIST_GRAPH_H

///\ingroup graphs

///\file

///\brief ListDigraph, ListGraph classes.

#include <lemon/core.h>

#include <lemon/error.h>

#include <lemon/bits/graph_extender.h>

#include <vector>

#include <list>

namespace lemon {

  class ListDigraphBase {

  protected:

    struct NodeT {

      int first_in, first_out;

      int prev, next;

    };

    struct ArcT {

      int target, source;

      int prev_in, prev_out;

      int next_in, next_out;

    };

    std::vector<NodeT> nodes;

    int first_node;

    int first_free_node;

    std::vector<ArcT> arcs;

    int first_free_arc;

  public:

    typedef ListDigraphBase Digraph;

    class Node {

      friend class ListDigraphBase;

    protected:

      int id;

      explicit Node(int pid) { id = pid;}

/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

///\ingroup paths

///\file

///\brief Classes for representing paths in digraphs.

///

#ifndef LEMON_PATH_H

#define LEMON_PATH_H

#include <vector>

#include <algorithm>

#include <lemon/error.h>

#include <lemon/core.h>

#include <lemon/concepts/path.h>

namespace lemon {

  /// \addtogroup paths

  /// @{

  /// \brief A structure for representing directed paths in a digraph.

  ///

  /// A structure for representing directed path in a digraph.

  /// \tparam _Digraph The digraph type in which the path is.

  ///

  /// In a sense, the path can be treated as a list of arcs. The

  /// lemon path type stores just this list. As a consequence, it

  /// cannot enumerate the nodes of the path and the source node of

  /// a zero length path is undefined.

  ///

  /// This implementation is a back and front insertable and erasable

  /// path type. It can be indexed in O(1) time. The front and back

  /// insertion and erase is done in O(1) (amortized) time. The

  /// implementation uses two vectors for storing the front and back

  /// insertions.

  template <typename _Digraph>

  class Path {

  public:

    typedef _Digraph Digraph;

    typedef typename Digraph::Arc Arc;

    /// \brief Default constructor

    ///

    /// Default constructor

    Path() {}

    /// \brief Template copy constructor

    ///

    /// This constuctor initializes the path from any other path type.

/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

/*

 * This file contains the reimplemented version of the Mersenne Twister

 * Generator of Matsumoto and Nishimura.

 *

 * See the appropriate copyright notice below.

 *

 * Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,

 * All rights reserved.

 *

 * Redistribution and use in source and binary forms, with or without

 * modification, are permitted provided that the following conditions

 * are met:

 *

 * 1. Redistributions of source code must retain the above copyright

 *    notice, this list of conditions and the following disclaimer.

 *

 * 2. Redistributions in binary form must reproduce the above copyright

 *    notice, this list of conditions and the following disclaimer in the

 *    documentation and/or other materials provided with the distribution.

 *

 * 3. The names of its contributors may not be used to endorse or promote

 *    products derived from this software without specific prior written

 *    permission.

 *

 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS

 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT

 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS

 * FOR A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE

 * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,

 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES

 * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR

 * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)

 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,

 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)

 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED

 * OF THE POSSIBILITY OF SUCH DAMAGE.

 *

 *

 * Any feedback is very welcome.

 * http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html

 * email: m-mat @ math.sci.hiroshima-u.ac.jp (remove space)

 */

#ifndef LEMON_RANDOM_H

#define LEMON_RANDOM_H

#include <algorithm>

#include <iterator>

#include <vector>

#include <limits>

#include <fstream>

/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

#ifndef LEMON_SMART_GRAPH_H

#define LEMON_SMART_GRAPH_H

///\ingroup graphs

///\file

///\brief SmartDigraph and SmartGraph classes.

#include <vector>