lemon/max_cardinality_search.h
changeset 1162 259e3a90ad97
parent 977 9a3187204242
child 1093 fb1c7da561ce
equal deleted inserted replaced
1:8c33e0e3b900 2:59e83e675aa5
     1 /* -*- C++ -*-
     1 /* -*- mode: C++; indent-tabs-mode: nil; -*-
     2  *
     2  *
     3  * This file is a part of LEMON, a generic C++ optimization library
     3  * This file is a part of LEMON, a generic C++ optimization library.
     4  *
     4  *
     5  * Copyright (C) 2003-2010
     5  * Copyright (C) 2003-2013
     6  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
     6  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
     7  * (Egervary Research Group on Combinatorial Optimization, EGRES).
     7  * (Egervary Research Group on Combinatorial Optimization, EGRES).
     8  *
     8  *
     9  * Permission to use, modify and distribute this software is granted
     9  * Permission to use, modify and distribute this software is granted
    10  * provided that this copyright notice appears in all copies. For
    10  * provided that this copyright notice appears in all copies. For
    19 #ifndef LEMON_MAX_CARDINALITY_SEARCH_H
    19 #ifndef LEMON_MAX_CARDINALITY_SEARCH_H
    20 #define LEMON_MAX_CARDINALITY_SEARCH_H
    20 #define LEMON_MAX_CARDINALITY_SEARCH_H
    21 
    21 
    22 
    22 
    23 /// \ingroup search
    23 /// \ingroup search
    24 /// \file 
    24 /// \file
    25 /// \brief Maximum cardinality search in undirected digraphs.
    25 /// \brief Maximum cardinality search in undirected digraphs.
    26 
    26 
    27 #include <lemon/bin_heap.h>
    27 #include <lemon/bin_heap.h>
    28 #include <lemon/bucket_heap.h>
    28 #include <lemon/bucket_heap.h>
    29 
    29 
    39   /// Default traits class of MaxCardinalitySearch class.
    39   /// Default traits class of MaxCardinalitySearch class.
    40   /// \param Digraph Digraph type.
    40   /// \param Digraph Digraph type.
    41   /// \param CapacityMap Type of capacity map.
    41   /// \param CapacityMap Type of capacity map.
    42   template <typename GR, typename CAP>
    42   template <typename GR, typename CAP>
    43   struct MaxCardinalitySearchDefaultTraits {
    43   struct MaxCardinalitySearchDefaultTraits {
    44     /// The digraph type the algorithm runs on. 
    44     /// The digraph type the algorithm runs on.
    45     typedef GR Digraph;
    45     typedef GR Digraph;
    46 
    46 
    47     template <typename CM>
    47     template <typename CM>
    48     struct CapMapSelector {
    48     struct CapMapSelector {
    49 
    49 
    50       typedef CM CapacityMap;
    50       typedef CM CapacityMap;
    51 
    51 
    52       static CapacityMap *createCapacityMap(const Digraph& g) {
    52       static CapacityMap *createCapacityMap(const Digraph& g) {
    53 	return new CapacityMap(g);
    53         return new CapacityMap(g);
    54       }
    54       }
    55     };
    55     };
    56 
    56 
    57     template <typename CM>
    57     template <typename CM>
    58     struct CapMapSelector<ConstMap<CM, Const<int, 1> > > {
    58     struct CapMapSelector<ConstMap<CM, Const<int, 1> > > {
    59 
    59 
    60       typedef ConstMap<CM, Const<int, 1> > CapacityMap;
    60       typedef ConstMap<CM, Const<int, 1> > CapacityMap;
    61 
    61 
    62       static CapacityMap *createCapacityMap(const Digraph&) {
    62       static CapacityMap *createCapacityMap(const Digraph&) {
    63 	return new CapacityMap;
    63         return new CapacityMap;
    64       }
    64       }
    65     };
    65     };
    66 
    66 
    67     /// \brief The type of the map that stores the arc capacities.
    67     /// \brief The type of the map that stores the arc capacities.
    68     ///
    68     ///
    88     /// Usually it is \c Digraph::NodeMap<int>.
    88     /// Usually it is \c Digraph::NodeMap<int>.
    89     typedef typename Digraph::template NodeMap<int> HeapCrossRef;
    89     typedef typename Digraph::template NodeMap<int> HeapCrossRef;
    90 
    90 
    91     /// \brief Instantiates a HeapCrossRef.
    91     /// \brief Instantiates a HeapCrossRef.
    92     ///
    92     ///
    93     /// This function instantiates a \ref HeapCrossRef. 
    93     /// This function instantiates a \ref HeapCrossRef.
    94     /// \param digraph is the digraph, to which we would like to define the 
    94     /// \param digraph is the digraph, to which we would like to define the
    95     /// HeapCrossRef.
    95     /// HeapCrossRef.
    96     static HeapCrossRef *createHeapCrossRef(const Digraph &digraph) {
    96     static HeapCrossRef *createHeapCrossRef(const Digraph &digraph) {
    97       return new HeapCrossRef(digraph);
    97       return new HeapCrossRef(digraph);
    98     }
    98     }
    99     
    99 
   100     template <typename CapacityMap>
   100     template <typename CapacityMap>
   101     struct HeapSelector {
   101     struct HeapSelector {
   102       template <typename Value, typename Ref>
   102       template <typename Value, typename Ref>
   103       struct Selector { 
   103       struct Selector {
   104         typedef BinHeap<Value, Ref, std::greater<Value> > Heap;
   104         typedef BinHeap<Value, Ref, std::greater<Value> > Heap;
   105       };
   105       };
   106     };
   106     };
   107 
   107 
   108     template <typename CapacityKey>
   108     template <typename CapacityKey>
   126     ::template Selector<Value, HeapCrossRef>
   126     ::template Selector<Value, HeapCrossRef>
   127     ::Heap Heap;
   127     ::Heap Heap;
   128 
   128 
   129     /// \brief Instantiates a Heap.
   129     /// \brief Instantiates a Heap.
   130     ///
   130     ///
   131     /// This function instantiates a \ref Heap. 
   131     /// This function instantiates a \ref Heap.
   132     /// \param crossref The cross reference of the heap.
   132     /// \param crossref The cross reference of the heap.
   133     static Heap *createHeap(HeapCrossRef& crossref) {
   133     static Heap *createHeap(HeapCrossRef& crossref) {
   134       return new Heap(crossref);
   134       return new Heap(crossref);
   135     }
   135     }
   136 
   136 
   141     /// By default it is a NullMap.
   141     /// By default it is a NullMap.
   142     typedef NullMap<typename Digraph::Node, bool> ProcessedMap;
   142     typedef NullMap<typename Digraph::Node, bool> ProcessedMap;
   143 
   143 
   144     /// \brief Instantiates a ProcessedMap.
   144     /// \brief Instantiates a ProcessedMap.
   145     ///
   145     ///
   146     /// This function instantiates a \ref ProcessedMap. 
   146     /// This function instantiates a \ref ProcessedMap.
   147     /// \param digraph is the digraph, to which
   147     /// \param digraph is the digraph, to which
   148     /// we would like to define the \ref ProcessedMap
   148     /// we would like to define the \ref ProcessedMap
   149 #ifdef DOXYGEN
   149 #ifdef DOXYGEN
   150     static ProcessedMap *createProcessedMap(const Digraph &digraph)
   150     static ProcessedMap *createProcessedMap(const Digraph &digraph)
   151 #else
   151 #else
   154     {
   154     {
   155       return new ProcessedMap();
   155       return new ProcessedMap();
   156     }
   156     }
   157 
   157 
   158     /// \brief The type of the map that stores the cardinalities of the nodes.
   158     /// \brief The type of the map that stores the cardinalities of the nodes.
   159     /// 
   159     ///
   160     /// The type of the map that stores the cardinalities of the nodes.
   160     /// The type of the map that stores the cardinalities of the nodes.
   161     /// It must meet the \ref concepts::WriteMap "WriteMap" concept.
   161     /// It must meet the \ref concepts::WriteMap "WriteMap" concept.
   162     typedef typename Digraph::template NodeMap<Value> CardinalityMap;
   162     typedef typename Digraph::template NodeMap<Value> CardinalityMap;
   163 
   163 
   164     /// \brief Instantiates a CardinalityMap.
   164     /// \brief Instantiates a CardinalityMap.
   165     ///
   165     ///
   166     /// This function instantiates a \ref CardinalityMap. 
   166     /// This function instantiates a \ref CardinalityMap.
   167     /// \param digraph is the digraph, to which we would like to define the \ref 
   167     /// \param digraph is the digraph, to which we would like to define the \ref
   168     /// CardinalityMap
   168     /// CardinalityMap
   169     static CardinalityMap *createCardinalityMap(const Digraph &digraph) {
   169     static CardinalityMap *createCardinalityMap(const Digraph &digraph) {
   170       return new CardinalityMap(digraph);
   170       return new CardinalityMap(digraph);
   171     }
   171     }
   172 
   172 
   173 
   173 
   174   };
   174   };
   175   
   175 
   176   /// \ingroup search
   176   /// \ingroup search
   177   ///
   177   ///
   178   /// \brief Maximum Cardinality Search algorithm class.
   178   /// \brief Maximum Cardinality Search algorithm class.
   179   ///
   179   ///
   180   /// This class provides an efficient implementation of Maximum Cardinality 
   180   /// This class provides an efficient implementation of Maximum Cardinality
   181   /// Search algorithm. The maximum cardinality search first chooses any 
   181   /// Search algorithm. The maximum cardinality search first chooses any
   182   /// node of the digraph. Then every time it chooses one unprocessed node
   182   /// node of the digraph. Then every time it chooses one unprocessed node
   183   /// with maximum cardinality, i.e the sum of capacities on out arcs to the nodes
   183   /// with maximum cardinality, i.e the sum of capacities on out arcs to the nodes
   184   /// which were previusly processed.
   184   /// which were previusly processed.
   185   /// If there is a cut in the digraph the algorithm should choose
   185   /// If there is a cut in the digraph the algorithm should choose
   186   /// again any unprocessed node of the digraph.
   186   /// again any unprocessed node of the digraph.
   187 
   187 
   188   /// The arc capacities are passed to the algorithm using a
   188   /// The arc capacities are passed to the algorithm using a
   189   /// \ref concepts::ReadMap "ReadMap", so it is easy to change it to any 
   189   /// \ref concepts::ReadMap "ReadMap", so it is easy to change it to any
   190   /// kind of capacity.
   190   /// kind of capacity.
   191   ///
   191   ///
   192   /// The type of the capacity is determined by the \ref 
   192   /// The type of the capacity is determined by the \ref
   193   /// concepts::ReadMap::Value "Value" of the capacity map.
   193   /// concepts::ReadMap::Value "Value" of the capacity map.
   194   ///
   194   ///
   195   /// It is also possible to change the underlying priority heap.
   195   /// It is also possible to change the underlying priority heap.
   196   ///
   196   ///
   197   ///
   197   ///
   198   /// \param GR The digraph type the algorithm runs on. The value of
   198   /// \param GR The digraph type the algorithm runs on. The value of
   199   /// Digraph is not used directly by the search algorithm, it 
   199   /// Digraph is not used directly by the search algorithm, it
   200   /// is only passed to \ref MaxCardinalitySearchDefaultTraits.
   200   /// is only passed to \ref MaxCardinalitySearchDefaultTraits.
   201   /// \param CAP This read-only ArcMap determines the capacities of 
   201   /// \param CAP This read-only ArcMap determines the capacities of
   202   /// the arcs. It is read once for each arc, so the map may involve in
   202   /// the arcs. It is read once for each arc, so the map may involve in
   203   /// relatively time consuming process to compute the arc capacity if
   203   /// relatively time consuming process to compute the arc capacity if
   204   /// it is necessary. The default map type is \ref
   204   /// it is necessary. The default map type is \ref
   205   /// ConstMap "ConstMap<concepts::Digraph::Arc, Const<int,1> >". The value
   205   /// ConstMap "ConstMap<concepts::Digraph::Arc, Const<int,1> >". The value
   206   /// of CapacityMap is not used directly by search algorithm, it is only 
   206   /// of CapacityMap is not used directly by search algorithm, it is only
   207   /// passed to \ref MaxCardinalitySearchDefaultTraits.  
   207   /// passed to \ref MaxCardinalitySearchDefaultTraits.
   208   /// \param TR Traits class to set various data types used by the 
   208   /// \param TR Traits class to set various data types used by the
   209   /// algorithm.  The default traits class is 
   209   /// algorithm.  The default traits class is
   210   /// \ref MaxCardinalitySearchDefaultTraits 
   210   /// \ref MaxCardinalitySearchDefaultTraits
   211   /// "MaxCardinalitySearchDefaultTraits<GR, CAP>".  
   211   /// "MaxCardinalitySearchDefaultTraits<GR, CAP>".
   212   /// See \ref MaxCardinalitySearchDefaultTraits 
   212   /// See \ref MaxCardinalitySearchDefaultTraits
   213   /// for the documentation of a MaxCardinalitySearch traits class.
   213   /// for the documentation of a MaxCardinalitySearch traits class.
   214 
   214 
   215 #ifdef DOXYGEN
   215 #ifdef DOXYGEN
   216   template <typename GR, typename CAP, typename TR>
   216   template <typename GR, typename CAP, typename TR>
   217 #else
   217 #else
   218   template <typename GR, typename CAP = 
   218   template <typename GR, typename CAP =
   219 	    ConstMap<typename GR::Arc, Const<int,1> >,
   219             ConstMap<typename GR::Arc, Const<int,1> >,
   220 	    typename TR = 
   220             typename TR =
   221             MaxCardinalitySearchDefaultTraits<GR, CAP> >
   221             MaxCardinalitySearchDefaultTraits<GR, CAP> >
   222 #endif
   222 #endif
   223   class MaxCardinalitySearch {
   223   class MaxCardinalitySearch {
   224   public:
   224   public:
   225 
   225 
   226     typedef TR Traits;
   226     typedef TR Traits;
   227     ///The type of the underlying digraph.
   227     ///The type of the underlying digraph.
   228     typedef typename Traits::Digraph Digraph;
   228     typedef typename Traits::Digraph Digraph;
   229     
   229 
   230     ///The type of the capacity of the arcs.
   230     ///The type of the capacity of the arcs.
   231     typedef typename Traits::CapacityMap::Value Value;
   231     typedef typename Traits::CapacityMap::Value Value;
   232     ///The type of the map that stores the arc capacities.
   232     ///The type of the map that stores the arc capacities.
   233     typedef typename Traits::CapacityMap CapacityMap;
   233     typedef typename Traits::CapacityMap CapacityMap;
   234     ///The type of the map indicating if a node is processed.
   234     ///The type of the map indicating if a node is processed.
   264     bool local_heap;
   264     bool local_heap;
   265 
   265 
   266   public :
   266   public :
   267 
   267 
   268     typedef MaxCardinalitySearch Create;
   268     typedef MaxCardinalitySearch Create;
   269  
   269 
   270     ///\name Named template parameters
   270     ///\name Named template parameters
   271 
   271 
   272     ///@{
   272     ///@{
   273 
   273 
   274     template <class T>
   274     template <class T>
   275     struct DefCapacityMapTraits : public Traits {
   275     struct DefCapacityMapTraits : public Traits {
   276       typedef T CapacityMap;
   276       typedef T CapacityMap;
   277       static CapacityMap *createCapacityMap(const Digraph &) {
   277       static CapacityMap *createCapacityMap(const Digraph &) {
   278        	LEMON_ASSERT(false,"Uninitialized parameter.");
   278                LEMON_ASSERT(false,"Uninitialized parameter.");
   279 	return 0;
   279         return 0;
   280       }
   280       }
   281     };
   281     };
   282     /// \brief \ref named-templ-param "Named parameter" for setting 
   282     /// \brief \ref named-templ-param "Named parameter" for setting
   283     /// CapacityMap type
   283     /// CapacityMap type
   284     ///
   284     ///
   285     /// \ref named-templ-param "Named parameter" for setting CapacityMap type
   285     /// \ref named-templ-param "Named parameter" for setting CapacityMap type
   286     /// for the algorithm.
   286     /// for the algorithm.
   287     template <class T>
   287     template <class T>
   288     struct SetCapacityMap 
   288     struct SetCapacityMap
   289       : public MaxCardinalitySearch<Digraph, CapacityMap, 
   289       : public MaxCardinalitySearch<Digraph, CapacityMap,
   290                                     DefCapacityMapTraits<T> > { 
   290                                     DefCapacityMapTraits<T> > {
   291       typedef MaxCardinalitySearch<Digraph, CapacityMap, 
   291       typedef MaxCardinalitySearch<Digraph, CapacityMap,
   292                                    DefCapacityMapTraits<T> > Create;
   292                                    DefCapacityMapTraits<T> > Create;
   293     };
   293     };
   294 
   294 
   295     template <class T>
   295     template <class T>
   296     struct DefCardinalityMapTraits : public Traits {
   296     struct DefCardinalityMapTraits : public Traits {
   297       typedef T CardinalityMap;
   297       typedef T CardinalityMap;
   298       static CardinalityMap *createCardinalityMap(const Digraph &) 
   298       static CardinalityMap *createCardinalityMap(const Digraph &)
   299       {
   299       {
   300 	LEMON_ASSERT(false,"Uninitialized parameter.");
   300         LEMON_ASSERT(false,"Uninitialized parameter.");
   301 	return 0;
   301         return 0;
   302       }
   302       }
   303     };
   303     };
   304     /// \brief \ref named-templ-param "Named parameter" for setting 
   304     /// \brief \ref named-templ-param "Named parameter" for setting
   305     /// CardinalityMap type
   305     /// CardinalityMap type
   306     ///
   306     ///
   307     /// \ref named-templ-param "Named parameter" for setting CardinalityMap 
   307     /// \ref named-templ-param "Named parameter" for setting CardinalityMap
   308     /// type for the algorithm.
   308     /// type for the algorithm.
   309     template <class T>
   309     template <class T>
   310     struct SetCardinalityMap 
   310     struct SetCardinalityMap
   311       : public MaxCardinalitySearch<Digraph, CapacityMap, 
   311       : public MaxCardinalitySearch<Digraph, CapacityMap,
   312                                     DefCardinalityMapTraits<T> > { 
   312                                     DefCardinalityMapTraits<T> > {
   313       typedef MaxCardinalitySearch<Digraph, CapacityMap, 
   313       typedef MaxCardinalitySearch<Digraph, CapacityMap,
   314                                    DefCardinalityMapTraits<T> > Create;
   314                                    DefCardinalityMapTraits<T> > Create;
   315     };
   315     };
   316     
   316 
   317     template <class T>
   317     template <class T>
   318     struct DefProcessedMapTraits : public Traits {
   318     struct DefProcessedMapTraits : public Traits {
   319       typedef T ProcessedMap;
   319       typedef T ProcessedMap;
   320       static ProcessedMap *createProcessedMap(const Digraph &) {
   320       static ProcessedMap *createProcessedMap(const Digraph &) {
   321        	LEMON_ASSERT(false,"Uninitialized parameter.");
   321                LEMON_ASSERT(false,"Uninitialized parameter.");
   322 	return 0;
   322         return 0;
   323       }
   323       }
   324     };
   324     };
   325     /// \brief \ref named-templ-param "Named parameter" for setting 
   325     /// \brief \ref named-templ-param "Named parameter" for setting
   326     /// ProcessedMap type
   326     /// ProcessedMap type
   327     ///
   327     ///
   328     /// \ref named-templ-param "Named parameter" for setting ProcessedMap type
   328     /// \ref named-templ-param "Named parameter" for setting ProcessedMap type
   329     /// for the algorithm.
   329     /// for the algorithm.
   330     template <class T>
   330     template <class T>
   331     struct SetProcessedMap 
   331     struct SetProcessedMap
   332       : public MaxCardinalitySearch<Digraph, CapacityMap, 
   332       : public MaxCardinalitySearch<Digraph, CapacityMap,
   333                                     DefProcessedMapTraits<T> > { 
   333                                     DefProcessedMapTraits<T> > {
   334       typedef MaxCardinalitySearch<Digraph, CapacityMap, 
   334       typedef MaxCardinalitySearch<Digraph, CapacityMap,
   335                                    DefProcessedMapTraits<T> > Create;
   335                                    DefProcessedMapTraits<T> > Create;
   336     };
   336     };
   337     
   337 
   338     template <class H, class CR>
   338     template <class H, class CR>
   339     struct DefHeapTraits : public Traits {
   339     struct DefHeapTraits : public Traits {
   340       typedef CR HeapCrossRef;
   340       typedef CR HeapCrossRef;
   341       typedef H Heap;
   341       typedef H Heap;
   342       static HeapCrossRef *createHeapCrossRef(const Digraph &) {
   342       static HeapCrossRef *createHeapCrossRef(const Digraph &) {
   343      	LEMON_ASSERT(false,"Uninitialized parameter.");
   343              LEMON_ASSERT(false,"Uninitialized parameter.");
   344 	return 0;
   344         return 0;
   345       }
   345       }
   346       static Heap *createHeap(HeapCrossRef &) {
   346       static Heap *createHeap(HeapCrossRef &) {
   347        	LEMON_ASSERT(false,"Uninitialized parameter.");
   347                LEMON_ASSERT(false,"Uninitialized parameter.");
   348 	return 0;
   348         return 0;
   349       }
   349       }
   350     };
   350     };
   351     /// \brief \ref named-templ-param "Named parameter" for setting heap 
   351     /// \brief \ref named-templ-param "Named parameter" for setting heap
   352     /// and cross reference type
   352     /// and cross reference type
   353     ///
   353     ///
   354     /// \ref named-templ-param "Named parameter" for setting heap and cross 
   354     /// \ref named-templ-param "Named parameter" for setting heap and cross
   355     /// reference type for the algorithm.
   355     /// reference type for the algorithm.
   356     template <class H, class CR = typename Digraph::template NodeMap<int> >
   356     template <class H, class CR = typename Digraph::template NodeMap<int> >
   357     struct SetHeap
   357     struct SetHeap
   358       : public MaxCardinalitySearch<Digraph, CapacityMap, 
   358       : public MaxCardinalitySearch<Digraph, CapacityMap,
   359                                     DefHeapTraits<H, CR> > { 
   359                                     DefHeapTraits<H, CR> > {
   360       typedef MaxCardinalitySearch< Digraph, CapacityMap, 
   360       typedef MaxCardinalitySearch< Digraph, CapacityMap,
   361                                     DefHeapTraits<H, CR> > Create;
   361                                     DefHeapTraits<H, CR> > Create;
   362     };
   362     };
   363 
   363 
   364     template <class H, class CR>
   364     template <class H, class CR>
   365     struct DefStandardHeapTraits : public Traits {
   365     struct DefStandardHeapTraits : public Traits {
   366       typedef CR HeapCrossRef;
   366       typedef CR HeapCrossRef;
   367       typedef H Heap;
   367       typedef H Heap;
   368       static HeapCrossRef *createHeapCrossRef(const Digraph &digraph) {
   368       static HeapCrossRef *createHeapCrossRef(const Digraph &digraph) {
   369 	return new HeapCrossRef(digraph);
   369         return new HeapCrossRef(digraph);
   370       }
   370       }
   371       static Heap *createHeap(HeapCrossRef &crossref) {
   371       static Heap *createHeap(HeapCrossRef &crossref) {
   372 	return new Heap(crossref);
   372         return new Heap(crossref);
   373       }
   373       }
   374     };
   374     };
   375 
   375 
   376     /// \brief \ref named-templ-param "Named parameter" for setting heap and 
   376     /// \brief \ref named-templ-param "Named parameter" for setting heap and
   377     /// cross reference type with automatic allocation
   377     /// cross reference type with automatic allocation
   378     ///
   378     ///
   379     /// \ref named-templ-param "Named parameter" for setting heap and cross 
   379     /// \ref named-templ-param "Named parameter" for setting heap and cross
   380     /// reference type. It can allocate the heap and the cross reference 
   380     /// reference type. It can allocate the heap and the cross reference
   381     /// object if the cross reference's constructor waits for the digraph as 
   381     /// object if the cross reference's constructor waits for the digraph as
   382     /// parameter and the heap's constructor waits for the cross reference.
   382     /// parameter and the heap's constructor waits for the cross reference.
   383     template <class H, class CR = typename Digraph::template NodeMap<int> >
   383     template <class H, class CR = typename Digraph::template NodeMap<int> >
   384     struct SetStandardHeap
   384     struct SetStandardHeap
   385       : public MaxCardinalitySearch<Digraph, CapacityMap, 
   385       : public MaxCardinalitySearch<Digraph, CapacityMap,
   386                                     DefStandardHeapTraits<H, CR> > { 
   386                                     DefStandardHeapTraits<H, CR> > {
   387       typedef MaxCardinalitySearch<Digraph, CapacityMap, 
   387       typedef MaxCardinalitySearch<Digraph, CapacityMap,
   388                                    DefStandardHeapTraits<H, CR> > 
   388                                    DefStandardHeapTraits<H, CR> >
   389       Create;
   389       Create;
   390     };
   390     };
   391     
   391 
   392     ///@}
   392     ///@}
   393 
   393 
   394 
   394 
   395   protected:
   395   protected:
   396 
   396 
   397     MaxCardinalitySearch() {}
   397     MaxCardinalitySearch() {}
   398 
   398 
   399   public:      
   399   public:
   400     
   400 
   401     /// \brief Constructor.
   401     /// \brief Constructor.
   402     ///
   402     ///
   403     ///\param digraph the digraph the algorithm will run on.
   403     ///\param digraph the digraph the algorithm will run on.
   404     ///\param capacity the capacity map used by the algorithm.
   404     ///\param capacity the capacity map used by the algorithm.
   405     MaxCardinalitySearch(const Digraph& digraph,
   405     MaxCardinalitySearch(const Digraph& digraph,
   406 			 const CapacityMap& capacity) :
   406                          const CapacityMap& capacity) :
   407       _graph(&digraph),
   407       _graph(&digraph),
   408       _capacity(&capacity), local_capacity(false),
   408       _capacity(&capacity), local_capacity(false),
   409       _cardinality(0), local_cardinality(false),
   409       _cardinality(0), local_cardinality(false),
   410       _processed(0), local_processed(false),
   410       _processed(0), local_processed(false),
   411       _heap_cross_ref(0), local_heap_cross_ref(false),
   411       _heap_cross_ref(0), local_heap_cross_ref(false),
   439     ///
   439     ///
   440     /// Sets the capacity map.
   440     /// Sets the capacity map.
   441     /// \return <tt> (*this) </tt>
   441     /// \return <tt> (*this) </tt>
   442     MaxCardinalitySearch &capacityMap(const CapacityMap &m) {
   442     MaxCardinalitySearch &capacityMap(const CapacityMap &m) {
   443       if (local_capacity) {
   443       if (local_capacity) {
   444 	delete _capacity;
   444         delete _capacity;
   445 	local_capacity=false;
   445         local_capacity=false;
   446       }
   446       }
   447       _capacity=&m;
   447       _capacity=&m;
   448       return *this;
   448       return *this;
   449     }
   449     }
   450 
   450 
   454     /// the algorithm.
   454     /// the algorithm.
   455     const CapacityMap &capacityMap() const {
   455     const CapacityMap &capacityMap() const {
   456       return *_capacity;
   456       return *_capacity;
   457     }
   457     }
   458 
   458 
   459     /// \brief Sets the map storing the cardinalities calculated by the 
   459     /// \brief Sets the map storing the cardinalities calculated by the
   460     /// algorithm.
   460     /// algorithm.
   461     ///
   461     ///
   462     /// Sets the map storing the cardinalities calculated by the algorithm.
   462     /// Sets the map storing the cardinalities calculated by the algorithm.
   463     /// If you don't use this function before calling \ref run(),
   463     /// If you don't use this function before calling \ref run(),
   464     /// it will allocate one. The destuctor deallocates this
   464     /// it will allocate one. The destuctor deallocates this
   465     /// automatically allocated map, of course.
   465     /// automatically allocated map, of course.
   466     /// \return <tt> (*this) </tt>
   466     /// \return <tt> (*this) </tt>
   467     MaxCardinalitySearch &cardinalityMap(CardinalityMap &m) {
   467     MaxCardinalitySearch &cardinalityMap(CardinalityMap &m) {
   468       if(local_cardinality) {
   468       if(local_cardinality) {
   469 	delete _cardinality;
   469         delete _cardinality;
   470 	local_cardinality=false;
   470         local_cardinality=false;
   471       }
   471       }
   472       _cardinality = &m;
   472       _cardinality = &m;
   473       return *this;
   473       return *this;
   474     }
   474     }
   475 
   475 
   478     /// Sets the map storing the processed nodes.
   478     /// Sets the map storing the processed nodes.
   479     /// If you don't use this function before calling \ref run(),
   479     /// If you don't use this function before calling \ref run(),
   480     /// it will allocate one. The destuctor deallocates this
   480     /// it will allocate one. The destuctor deallocates this
   481     /// automatically allocated map, of course.
   481     /// automatically allocated map, of course.
   482     /// \return <tt> (*this) </tt>
   482     /// \return <tt> (*this) </tt>
   483     MaxCardinalitySearch &processedMap(ProcessedMap &m) 
   483     MaxCardinalitySearch &processedMap(ProcessedMap &m)
   484     {
   484     {
   485       if(local_processed) {
   485       if(local_processed) {
   486 	delete _processed;
   486         delete _processed;
   487 	local_processed=false;
   487         local_processed=false;
   488       }
   488       }
   489       _processed = &m;
   489       _processed = &m;
   490       return *this;
   490       return *this;
   491     }
   491     }
   492 
   492 
   505     /// it will allocate one. The destuctor deallocates this
   505     /// it will allocate one. The destuctor deallocates this
   506     /// automatically allocated map, of course.
   506     /// automatically allocated map, of course.
   507     /// \return <tt> (*this) </tt>
   507     /// \return <tt> (*this) </tt>
   508     MaxCardinalitySearch &heap(Heap& hp, HeapCrossRef &cr) {
   508     MaxCardinalitySearch &heap(Heap& hp, HeapCrossRef &cr) {
   509       if(local_heap_cross_ref) {
   509       if(local_heap_cross_ref) {
   510 	delete _heap_cross_ref;
   510         delete _heap_cross_ref;
   511 	local_heap_cross_ref = false;
   511         local_heap_cross_ref = false;
   512       }
   512       }
   513       _heap_cross_ref = &cr;
   513       _heap_cross_ref = &cr;
   514       if(local_heap) {
   514       if(local_heap) {
   515 	delete _heap;
   515         delete _heap;
   516 	local_heap = false;
   516         local_heap = false;
   517       }
   517       }
   518       _heap = &hp;
   518       _heap = &hp;
   519       return *this;
   519       return *this;
   520     }
   520     }
   521 
   521 
   542     typedef typename Digraph::Arc Arc;
   542     typedef typename Digraph::Arc Arc;
   543     typedef typename Digraph::InArcIt InArcIt;
   543     typedef typename Digraph::InArcIt InArcIt;
   544 
   544 
   545     void create_maps() {
   545     void create_maps() {
   546       if(!_capacity) {
   546       if(!_capacity) {
   547 	local_capacity = true;
   547         local_capacity = true;
   548 	_capacity = Traits::createCapacityMap(*_graph);
   548         _capacity = Traits::createCapacityMap(*_graph);
   549       }
   549       }
   550       if(!_cardinality) {
   550       if(!_cardinality) {
   551 	local_cardinality = true;
   551         local_cardinality = true;
   552 	_cardinality = Traits::createCardinalityMap(*_graph);
   552         _cardinality = Traits::createCardinalityMap(*_graph);
   553       }
   553       }
   554       if(!_processed) {
   554       if(!_processed) {
   555 	local_processed = true;
   555         local_processed = true;
   556 	_processed = Traits::createProcessedMap(*_graph);
   556         _processed = Traits::createProcessedMap(*_graph);
   557       }
   557       }
   558       if (!_heap_cross_ref) {
   558       if (!_heap_cross_ref) {
   559 	local_heap_cross_ref = true;
   559         local_heap_cross_ref = true;
   560 	_heap_cross_ref = Traits::createHeapCrossRef(*_graph);
   560         _heap_cross_ref = Traits::createHeapCrossRef(*_graph);
   561       }
   561       }
   562       if (!_heap) {
   562       if (!_heap) {
   563 	local_heap = true;
   563         local_heap = true;
   564 	_heap = Traits::createHeap(*_heap_cross_ref);
   564         _heap = Traits::createHeap(*_heap_cross_ref);
   565       }
   565       }
   566     }
   566     }
   567     
   567 
   568     void finalizeNodeData(Node node, Value capacity) {
   568     void finalizeNodeData(Node node, Value capacity) {
   569       _processed->set(node, true);
   569       _processed->set(node, true);
   570       _cardinality->set(node, capacity);
   570       _cardinality->set(node, capacity);
   571     }
   571     }
   572 
   572 
   587     /// Initializes the internal data structures, and clears the heap.
   587     /// Initializes the internal data structures, and clears the heap.
   588     void init() {
   588     void init() {
   589       create_maps();
   589       create_maps();
   590       _heap->clear();
   590       _heap->clear();
   591       for (NodeIt it(*_graph) ; it != INVALID ; ++it) {
   591       for (NodeIt it(*_graph) ; it != INVALID ; ++it) {
   592 	_processed->set(it, false);
   592         _processed->set(it, false);
   593 	_heap_cross_ref->set(it, Heap::PRE_HEAP);
   593         _heap_cross_ref->set(it, Heap::PRE_HEAP);
   594       }
   594       }
   595     }
   595     }
   596     
   596 
   597     /// \brief Adds a new source node.
   597     /// \brief Adds a new source node.
   598     /// 
   598     ///
   599     /// Adds a new source node to the priority heap.
   599     /// Adds a new source node to the priority heap.
   600     ///
   600     ///
   601     /// It checks if the node has not yet been added to the heap.
   601     /// It checks if the node has not yet been added to the heap.
   602     void addSource(Node source, Value capacity = 0) {
   602     void addSource(Node source, Value capacity = 0) {
   603       if(_heap->state(source) == Heap::PRE_HEAP) {
   603       if(_heap->state(source) == Heap::PRE_HEAP) {
   604 	_heap->push(source, capacity);
   604         _heap->push(source, capacity);
   605       } 
   605       }
   606     }
   606     }
   607     
   607 
   608     /// \brief Processes the next node in the priority heap
   608     /// \brief Processes the next node in the priority heap
   609     ///
   609     ///
   610     /// Processes the next node in the priority heap.
   610     /// Processes the next node in the priority heap.
   611     ///
   611     ///
   612     /// \return The processed node.
   612     /// \return The processed node.
   613     ///
   613     ///
   614     /// \warning The priority heap must not be empty!
   614     /// \warning The priority heap must not be empty!
   615     Node processNextNode() {
   615     Node processNextNode() {
   616       Node node = _heap->top(); 
   616       Node node = _heap->top();
   617       finalizeNodeData(node, _heap->prio());
   617       finalizeNodeData(node, _heap->prio());
   618       _heap->pop();
   618       _heap->pop();
   619       
   619 
   620       for (InArcIt it(*_graph, node); it != INVALID; ++it) {
   620       for (InArcIt it(*_graph, node); it != INVALID; ++it) {
   621 	Node source = _graph->source(it);
   621         Node source = _graph->source(it);
   622 	switch (_heap->state(source)) {
   622         switch (_heap->state(source)) {
   623 	case Heap::PRE_HEAP:
   623         case Heap::PRE_HEAP:
   624 	  _heap->push(source, (*_capacity)[it]);
   624           _heap->push(source, (*_capacity)[it]);
   625 	  break;
   625           break;
   626 	case Heap::IN_HEAP:
   626         case Heap::IN_HEAP:
   627 	  _heap->decrease(source, (*_heap)[source] + (*_capacity)[it]);
   627           _heap->decrease(source, (*_heap)[source] + (*_capacity)[it]);
   628 	  break;
   628           break;
   629 	case Heap::POST_HEAP:
   629         case Heap::POST_HEAP:
   630 	  break;
   630           break;
   631 	}
   631         }
   632       }
   632       }
   633       return node;
   633       return node;
   634     }
   634     }
   635 
   635 
   636     /// \brief Next node to be processed.
   636     /// \brief Next node to be processed.
   637     ///
   637     ///
   638     /// Next node to be processed.
   638     /// Next node to be processed.
   639     ///
   639     ///
   640     /// \return The next node to be processed or INVALID if the 
   640     /// \return The next node to be processed or INVALID if the
   641     /// priority heap is empty.
   641     /// priority heap is empty.
   642     Node nextNode() { 
   642     Node nextNode() {
   643       return !_heap->empty() ? _heap->top() : INVALID;
   643       return !_heap->empty() ? _heap->top() : INVALID;
   644     }
   644     }
   645  
   645 
   646     /// \brief Returns \c false if there are nodes
   646     /// \brief Returns \c false if there are nodes
   647     /// to be processed in the priority heap
   647     /// to be processed in the priority heap
   648     ///
   648     ///
   649     /// Returns \c false if there are nodes
   649     /// Returns \c false if there are nodes
   650     /// to be processed in the priority heap
   650     /// to be processed in the priority heap
   651     bool emptyQueue() { return _heap->empty(); }
   651     bool emptyQueue() { return _heap->empty(); }
   652     /// \brief Returns the number of the nodes to be processed 
   652     /// \brief Returns the number of the nodes to be processed
   653     /// in the priority heap
   653     /// in the priority heap
   654     ///
   654     ///
   655     /// Returns the number of the nodes to be processed in the priority heap
   655     /// Returns the number of the nodes to be processed in the priority heap
   656     int emptySize() { return _heap->size(); }
   656     int emptySize() { return _heap->size(); }
   657     
   657 
   658     /// \brief Executes the algorithm.
   658     /// \brief Executes the algorithm.
   659     ///
   659     ///
   660     /// Executes the algorithm.
   660     /// Executes the algorithm.
   661     ///
   661     ///
   662     ///\pre init() must be called and at least one node should be added
   662     ///\pre init() must be called and at least one node should be added
   663     /// with addSource() before using this function.
   663     /// with addSource() before using this function.
   664     ///
   664     ///
   665     /// This method runs the Maximum Cardinality Search algorithm from the 
   665     /// This method runs the Maximum Cardinality Search algorithm from the
   666     /// source node(s).
   666     /// source node(s).
   667     void start() {
   667     void start() {
   668       while ( !_heap->empty() ) processNextNode();
   668       while ( !_heap->empty() ) processNextNode();
   669     }
   669     }
   670     
   670 
   671     /// \brief Executes the algorithm until \c dest is reached.
   671     /// \brief Executes the algorithm until \c dest is reached.
   672     ///
   672     ///
   673     /// Executes the algorithm until \c dest is reached.
   673     /// Executes the algorithm until \c dest is reached.
   674     ///
   674     ///
   675     /// \pre init() must be called and at least one node should be added
   675     /// \pre init() must be called and at least one node should be added
   676     /// with addSource() before using this function.
   676     /// with addSource() before using this function.
   677     ///
   677     ///
   678     /// This method runs the %MaxCardinalitySearch algorithm from the source 
   678     /// This method runs the %MaxCardinalitySearch algorithm from the source
   679     /// nodes.
   679     /// nodes.
   680     void start(Node dest) {
   680     void start(Node dest) {
   681       while ( !_heap->empty() && _heap->top()!=dest ) processNextNode();
   681       while ( !_heap->empty() && _heap->top()!=dest ) processNextNode();
   682       if ( !_heap->empty() ) finalizeNodeData(_heap->top(), _heap->prio());
   682       if ( !_heap->empty() ) finalizeNodeData(_heap->top(), _heap->prio());
   683     }
   683     }
   684     
   684 
   685     /// \brief Executes the algorithm until a condition is met.
   685     /// \brief Executes the algorithm until a condition is met.
   686     ///
   686     ///
   687     /// Executes the algorithm until a condition is met.
   687     /// Executes the algorithm until a condition is met.
   688     ///
   688     ///
   689     /// \pre init() must be called and at least one node should be added
   689     /// \pre init() must be called and at least one node should be added
   694     template <typename NodeBoolMap>
   694     template <typename NodeBoolMap>
   695     void start(const NodeBoolMap &nm) {
   695     void start(const NodeBoolMap &nm) {
   696       while ( !_heap->empty() && !nm[_heap->top()] ) processNextNode();
   696       while ( !_heap->empty() && !nm[_heap->top()] ) processNextNode();
   697       if ( !_heap->empty() ) finalizeNodeData(_heap->top(),_heap->prio());
   697       if ( !_heap->empty() ) finalizeNodeData(_heap->top(),_heap->prio());
   698     }
   698     }
   699     
   699 
   700     /// \brief Runs the maximum cardinality search algorithm from node \c s.
   700     /// \brief Runs the maximum cardinality search algorithm from node \c s.
   701     ///
   701     ///
   702     /// This method runs the %MaxCardinalitySearch algorithm from a root 
   702     /// This method runs the %MaxCardinalitySearch algorithm from a root
   703     /// node \c s.
   703     /// node \c s.
   704     ///
   704     ///
   705     ///\note d.run(s) is just a shortcut of the following code.
   705     ///\note d.run(s) is just a shortcut of the following code.
   706     ///\code
   706     ///\code
   707     ///  d.init();
   707     ///  d.init();
   712       init();
   712       init();
   713       addSource(s);
   713       addSource(s);
   714       start();
   714       start();
   715     }
   715     }
   716 
   716 
   717     /// \brief Runs the maximum cardinality search algorithm for the 
   717     /// \brief Runs the maximum cardinality search algorithm for the
   718     /// whole digraph.
   718     /// whole digraph.
   719     ///
   719     ///
   720     /// This method runs the %MaxCardinalitySearch algorithm from all 
   720     /// This method runs the %MaxCardinalitySearch algorithm from all
   721     /// unprocessed node of the digraph.
   721     /// unprocessed node of the digraph.
   722     ///
   722     ///
   723     ///\note d.run(s) is just a shortcut of the following code.
   723     ///\note d.run(s) is just a shortcut of the following code.
   724     ///\code
   724     ///\code
   725     ///  d.init();
   725     ///  d.init();
   737           addSource(it);
   737           addSource(it);
   738           start();
   738           start();
   739         }
   739         }
   740       }
   740       }
   741     }
   741     }
   742     
   742 
   743     ///@}
   743     ///@}
   744 
   744 
   745     /// \name Query Functions
   745     /// \name Query Functions
   746     /// The results of the maximum cardinality search algorithm can be 
   746     /// The results of the maximum cardinality search algorithm can be
   747     /// obtained using these functions.
   747     /// obtained using these functions.
   748     /// \n
   748     /// \n
   749     /// Before the use of these functions, either run() or start() must be 
   749     /// Before the use of these functions, either run() or start() must be
   750     /// called.
   750     /// called.
   751     
   751 
   752     ///@{
   752     ///@{
   753 
   753 
   754     /// \brief The cardinality of a node.
   754     /// \brief The cardinality of a node.
   755     ///
   755     ///
   756     /// Returns the cardinality of a node.
   756     /// Returns the cardinality of a node.
   765     /// \pre the given node should be reached but not processed
   765     /// \pre the given node should be reached but not processed
   766     Value currentCardinality(Node node) const { return (*_heap)[node]; }
   766     Value currentCardinality(Node node) const { return (*_heap)[node]; }
   767 
   767 
   768     /// \brief Returns a reference to the NodeMap of cardinalities.
   768     /// \brief Returns a reference to the NodeMap of cardinalities.
   769     ///
   769     ///
   770     /// Returns a reference to the NodeMap of cardinalities. \pre \ref run() 
   770     /// Returns a reference to the NodeMap of cardinalities. \pre \ref run()
   771     /// must be called before using this function.
   771     /// must be called before using this function.
   772     const CardinalityMap &cardinalityMap() const { return *_cardinality;}
   772     const CardinalityMap &cardinalityMap() const { return *_cardinality;}
   773  
   773 
   774     /// \brief Checks if a node is reachable from the root.
   774     /// \brief Checks if a node is reachable from the root.
   775     ///
   775     ///
   776     /// Returns \c true if \c v is reachable from the root.
   776     /// Returns \c true if \c v is reachable from the root.
   777     /// \warning The source nodes are initated as unreached.
   777     /// \warning The source nodes are initated as unreached.
   778     /// \pre \ref run() must be called before using this function.
   778     /// \pre \ref run() must be called before using this function.
   782     ///
   782     ///
   783     /// Returns \c true if \c v is processed, i.e. the shortest
   783     /// Returns \c true if \c v is processed, i.e. the shortest
   784     /// path to \c v has already found.
   784     /// path to \c v has already found.
   785     /// \pre \ref run() must be called before using this function.
   785     /// \pre \ref run() must be called before using this function.
   786     bool processed(Node v) { return (*_heap_cross_ref)[v] == Heap::POST_HEAP; }
   786     bool processed(Node v) { return (*_heap_cross_ref)[v] == Heap::POST_HEAP; }
   787     
   787 
   788     ///@}
   788     ///@}
   789   };
   789   };
   790 
   790 
   791 }
   791 }
   792 
   792