alpar@1270: /* -*- mode: C++; indent-tabs-mode: nil; -*-
thoneyvazul@1020:  *
alpar@1270:  * This file is a part of LEMON, a generic C++ optimization library.
thoneyvazul@1020:  *
alpar@1270:  * Copyright (C) 2003-2013
thoneyvazul@1020:  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
thoneyvazul@1020:  * (Egervary Research Group on Combinatorial Optimization, EGRES).
thoneyvazul@1020:  *
thoneyvazul@1020:  * Permission to use, modify and distribute this software is granted
thoneyvazul@1020:  * provided that this copyright notice appears in all copies. For
thoneyvazul@1020:  * precise terms see the accompanying LICENSE file.
thoneyvazul@1020:  *
thoneyvazul@1020:  * This software is provided "AS IS" with no warranty of any kind,
thoneyvazul@1020:  * express or implied, and with no claim as to its suitability for any
thoneyvazul@1020:  * purpose.
thoneyvazul@1020:  *
thoneyvazul@1020:  */
thoneyvazul@1020: 
thoneyvazul@1020: #ifndef LEMON_MAX_CARDINALITY_SEARCH_H
thoneyvazul@1020: #define LEMON_MAX_CARDINALITY_SEARCH_H
thoneyvazul@1020: 
thoneyvazul@1020: 
thoneyvazul@1020: /// \ingroup search
alpar@1270: /// \file
thoneyvazul@1020: /// \brief Maximum cardinality search in undirected digraphs.
thoneyvazul@1020: 
thoneyvazul@1020: #include <lemon/bin_heap.h>
thoneyvazul@1020: #include <lemon/bucket_heap.h>
thoneyvazul@1020: 
thoneyvazul@1020: #include <lemon/error.h>
thoneyvazul@1020: #include <lemon/maps.h>
thoneyvazul@1020: 
thoneyvazul@1020: #include <functional>
thoneyvazul@1020: 
thoneyvazul@1020: namespace lemon {
thoneyvazul@1020: 
thoneyvazul@1020:   /// \brief Default traits class of MaxCardinalitySearch class.
thoneyvazul@1020:   ///
thoneyvazul@1020:   /// Default traits class of MaxCardinalitySearch class.
thoneyvazul@1020:   /// \param Digraph Digraph type.
thoneyvazul@1020:   /// \param CapacityMap Type of capacity map.
thoneyvazul@1020:   template <typename GR, typename CAP>
thoneyvazul@1020:   struct MaxCardinalitySearchDefaultTraits {
alpar@1270:     /// The digraph type the algorithm runs on.
thoneyvazul@1020:     typedef GR Digraph;
thoneyvazul@1020: 
thoneyvazul@1020:     template <typename CM>
thoneyvazul@1020:     struct CapMapSelector {
thoneyvazul@1020: 
thoneyvazul@1020:       typedef CM CapacityMap;
thoneyvazul@1020: 
thoneyvazul@1020:       static CapacityMap *createCapacityMap(const Digraph& g) {
alpar@1270:         return new CapacityMap(g);
thoneyvazul@1020:       }
thoneyvazul@1020:     };
thoneyvazul@1020: 
thoneyvazul@1020:     template <typename CM>
thoneyvazul@1020:     struct CapMapSelector<ConstMap<CM, Const<int, 1> > > {
thoneyvazul@1020: 
thoneyvazul@1020:       typedef ConstMap<CM, Const<int, 1> > CapacityMap;
thoneyvazul@1020: 
thoneyvazul@1020:       static CapacityMap *createCapacityMap(const Digraph&) {
alpar@1270:         return new CapacityMap;
thoneyvazul@1020:       }
thoneyvazul@1020:     };
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief The type of the map that stores the arc capacities.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// The type of the map that stores the arc capacities.
thoneyvazul@1020:     /// It must meet the \ref concepts::ReadMap "ReadMap" concept.
thoneyvazul@1020:     typedef typename CapMapSelector<CAP>::CapacityMap CapacityMap;
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief The type of the capacity of the arcs.
thoneyvazul@1020:     typedef typename CapacityMap::Value Value;
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief Instantiates a CapacityMap.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// This function instantiates a \ref CapacityMap.
thoneyvazul@1020:     /// \param digraph is the digraph, to which we would like to define
thoneyvazul@1020:     /// the CapacityMap.
thoneyvazul@1020:     static CapacityMap *createCapacityMap(const Digraph& digraph) {
thoneyvazul@1020:       return CapMapSelector<CapacityMap>::createCapacityMap(digraph);
thoneyvazul@1020:     }
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief The cross reference type used by heap.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// The cross reference type used by heap.
thoneyvazul@1020:     /// Usually it is \c Digraph::NodeMap<int>.
thoneyvazul@1020:     typedef typename Digraph::template NodeMap<int> HeapCrossRef;
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief Instantiates a HeapCrossRef.
thoneyvazul@1020:     ///
alpar@1270:     /// This function instantiates a \ref HeapCrossRef.
alpar@1270:     /// \param digraph is the digraph, to which we would like to define the
thoneyvazul@1020:     /// HeapCrossRef.
thoneyvazul@1020:     static HeapCrossRef *createHeapCrossRef(const Digraph &digraph) {
thoneyvazul@1020:       return new HeapCrossRef(digraph);
thoneyvazul@1020:     }
alpar@1270: 
thoneyvazul@1020:     template <typename CapacityMap>
thoneyvazul@1020:     struct HeapSelector {
thoneyvazul@1020:       template <typename Value, typename Ref>
alpar@1270:       struct Selector {
thoneyvazul@1020:         typedef BinHeap<Value, Ref, std::greater<Value> > Heap;
thoneyvazul@1020:       };
thoneyvazul@1020:     };
thoneyvazul@1020: 
thoneyvazul@1020:     template <typename CapacityKey>
thoneyvazul@1020:     struct HeapSelector<ConstMap<CapacityKey, Const<int, 1> > > {
thoneyvazul@1020:       template <typename Value, typename Ref>
thoneyvazul@1020:       struct Selector {
thoneyvazul@1020:         typedef BucketHeap<Ref, false > Heap;
thoneyvazul@1020:       };
thoneyvazul@1020:     };
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief The heap type used by MaxCardinalitySearch algorithm.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// The heap type used by MaxCardinalitySearch algorithm. It should
thoneyvazul@1020:     /// maximalize the priorities. The default heap type is
thoneyvazul@1020:     /// the \ref BinHeap, but it is specialized when the
thoneyvazul@1020:     /// CapacityMap is ConstMap<Digraph::Node, Const<int, 1> >
thoneyvazul@1020:     /// to BucketHeap.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// \sa MaxCardinalitySearch
thoneyvazul@1020:     typedef typename HeapSelector<CapacityMap>
thoneyvazul@1020:     ::template Selector<Value, HeapCrossRef>
thoneyvazul@1020:     ::Heap Heap;
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief Instantiates a Heap.
thoneyvazul@1020:     ///
alpar@1270:     /// This function instantiates a \ref Heap.
thoneyvazul@1020:     /// \param crossref The cross reference of the heap.
thoneyvazul@1020:     static Heap *createHeap(HeapCrossRef& crossref) {
thoneyvazul@1020:       return new Heap(crossref);
thoneyvazul@1020:     }
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief The type of the map that stores whether a node is processed.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// The type of the map that stores whether a node is processed.
thoneyvazul@1020:     /// It must meet the \ref concepts::WriteMap "WriteMap" concept.
thoneyvazul@1020:     /// By default it is a NullMap.
thoneyvazul@1020:     typedef NullMap<typename Digraph::Node, bool> ProcessedMap;
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief Instantiates a ProcessedMap.
thoneyvazul@1020:     ///
alpar@1270:     /// This function instantiates a \ref ProcessedMap.
thoneyvazul@1020:     /// \param digraph is the digraph, to which
thoneyvazul@1020:     /// we would like to define the \ref ProcessedMap
thoneyvazul@1020: #ifdef DOXYGEN
thoneyvazul@1020:     static ProcessedMap *createProcessedMap(const Digraph &digraph)
thoneyvazul@1020: #else
thoneyvazul@1020:     static ProcessedMap *createProcessedMap(const Digraph &)
thoneyvazul@1020: #endif
thoneyvazul@1020:     {
thoneyvazul@1020:       return new ProcessedMap();
thoneyvazul@1020:     }
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief The type of the map that stores the cardinalities of the nodes.
alpar@1270:     ///
thoneyvazul@1020:     /// The type of the map that stores the cardinalities of the nodes.
thoneyvazul@1020:     /// It must meet the \ref concepts::WriteMap "WriteMap" concept.
thoneyvazul@1020:     typedef typename Digraph::template NodeMap<Value> CardinalityMap;
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief Instantiates a CardinalityMap.
thoneyvazul@1020:     ///
alpar@1270:     /// This function instantiates a \ref CardinalityMap.
alpar@1271:     /// \param digraph is the digraph, to which we would like to
alpar@1271:     /// define the \ref CardinalityMap
thoneyvazul@1020:     static CardinalityMap *createCardinalityMap(const Digraph &digraph) {
thoneyvazul@1020:       return new CardinalityMap(digraph);
thoneyvazul@1020:     }
thoneyvazul@1020: 
thoneyvazul@1020: 
thoneyvazul@1020:   };
alpar@1270: 
thoneyvazul@1020:   /// \ingroup search
thoneyvazul@1020:   ///
thoneyvazul@1020:   /// \brief Maximum Cardinality Search algorithm class.
thoneyvazul@1020:   ///
alpar@1270:   /// This class provides an efficient implementation of Maximum Cardinality
alpar@1270:   /// Search algorithm. The maximum cardinality search first chooses any
thoneyvazul@1020:   /// node of the digraph. Then every time it chooses one unprocessed node
alpar@1271:   /// with maximum cardinality, i.e the sum of capacities on out arcs
alpar@1271:   /// to the nodes
thoneyvazul@1020:   /// which were previusly processed.
thoneyvazul@1020:   /// If there is a cut in the digraph the algorithm should choose
thoneyvazul@1020:   /// again any unprocessed node of the digraph.
thoneyvazul@1020: 
thoneyvazul@1020:   /// The arc capacities are passed to the algorithm using a
alpar@1270:   /// \ref concepts::ReadMap "ReadMap", so it is easy to change it to any
thoneyvazul@1020:   /// kind of capacity.
thoneyvazul@1020:   ///
alpar@1270:   /// The type of the capacity is determined by the \ref
thoneyvazul@1020:   /// concepts::ReadMap::Value "Value" of the capacity map.
thoneyvazul@1020:   ///
thoneyvazul@1020:   /// It is also possible to change the underlying priority heap.
thoneyvazul@1020:   ///
thoneyvazul@1020:   ///
thoneyvazul@1020:   /// \param GR The digraph type the algorithm runs on. The value of
alpar@1270:   /// Digraph is not used directly by the search algorithm, it
thoneyvazul@1020:   /// is only passed to \ref MaxCardinalitySearchDefaultTraits.
alpar@1270:   /// \param CAP This read-only ArcMap determines the capacities of
thoneyvazul@1020:   /// the arcs. It is read once for each arc, so the map may involve in
thoneyvazul@1020:   /// relatively time consuming process to compute the arc capacity if
thoneyvazul@1020:   /// it is necessary. The default map type is \ref
thoneyvazul@1020:   /// ConstMap "ConstMap<concepts::Digraph::Arc, Const<int,1> >". The value
alpar@1270:   /// of CapacityMap is not used directly by search algorithm, it is only
alpar@1270:   /// passed to \ref MaxCardinalitySearchDefaultTraits.
alpar@1270:   /// \param TR Traits class to set various data types used by the
alpar@1270:   /// algorithm.  The default traits class is
alpar@1270:   /// \ref MaxCardinalitySearchDefaultTraits
alpar@1270:   /// "MaxCardinalitySearchDefaultTraits<GR, CAP>".
alpar@1270:   /// See \ref MaxCardinalitySearchDefaultTraits
thoneyvazul@1020:   /// for the documentation of a MaxCardinalitySearch traits class.
thoneyvazul@1020: 
thoneyvazul@1020: #ifdef DOXYGEN
thoneyvazul@1020:   template <typename GR, typename CAP, typename TR>
thoneyvazul@1020: #else
alpar@1270:   template <typename GR, typename CAP =
alpar@1270:             ConstMap<typename GR::Arc, Const<int,1> >,
alpar@1270:             typename TR =
thoneyvazul@1020:             MaxCardinalitySearchDefaultTraits<GR, CAP> >
thoneyvazul@1020: #endif
thoneyvazul@1020:   class MaxCardinalitySearch {
thoneyvazul@1020:   public:
thoneyvazul@1020: 
thoneyvazul@1020:     typedef TR Traits;
thoneyvazul@1020:     ///The type of the underlying digraph.
thoneyvazul@1020:     typedef typename Traits::Digraph Digraph;
alpar@1270: 
thoneyvazul@1020:     ///The type of the capacity of the arcs.
thoneyvazul@1020:     typedef typename Traits::CapacityMap::Value Value;
thoneyvazul@1020:     ///The type of the map that stores the arc capacities.
thoneyvazul@1020:     typedef typename Traits::CapacityMap CapacityMap;
thoneyvazul@1020:     ///The type of the map indicating if a node is processed.
thoneyvazul@1020:     typedef typename Traits::ProcessedMap ProcessedMap;
thoneyvazul@1020:     ///The type of the map that stores the cardinalities of the nodes.
thoneyvazul@1020:     typedef typename Traits::CardinalityMap CardinalityMap;
thoneyvazul@1020:     ///The cross reference type used for the current heap.
thoneyvazul@1020:     typedef typename Traits::HeapCrossRef HeapCrossRef;
thoneyvazul@1020:     ///The heap type used by the algorithm. It maximizes the priorities.
thoneyvazul@1020:     typedef typename Traits::Heap Heap;
thoneyvazul@1020:   private:
thoneyvazul@1020:     // Pointer to the underlying digraph.
thoneyvazul@1020:     const Digraph *_graph;
thoneyvazul@1020:     // Pointer to the capacity map
thoneyvazul@1020:     const CapacityMap *_capacity;
thoneyvazul@1020:     // Indicates if \ref _capacity is locally allocated (\c true) or not.
thoneyvazul@1020:     bool local_capacity;
thoneyvazul@1020:     // Pointer to the map of cardinality.
thoneyvazul@1020:     CardinalityMap *_cardinality;
thoneyvazul@1020:     // Indicates if \ref _cardinality is locally allocated (\c true) or not.
thoneyvazul@1020:     bool local_cardinality;
thoneyvazul@1020:     // Pointer to the map of processed status of the nodes.
thoneyvazul@1020:     ProcessedMap *_processed;
thoneyvazul@1020:     // Indicates if \ref _processed is locally allocated (\c true) or not.
thoneyvazul@1020:     bool local_processed;
thoneyvazul@1020:     // Pointer to the heap cross references.
thoneyvazul@1020:     HeapCrossRef *_heap_cross_ref;
thoneyvazul@1020:     // Indicates if \ref _heap_cross_ref is locally allocated (\c true) or not.
thoneyvazul@1020:     bool local_heap_cross_ref;
thoneyvazul@1020:     // Pointer to the heap.
thoneyvazul@1020:     Heap *_heap;
thoneyvazul@1020:     // Indicates if \ref _heap is locally allocated (\c true) or not.
thoneyvazul@1020:     bool local_heap;
thoneyvazul@1020: 
thoneyvazul@1020:   public :
thoneyvazul@1020: 
thoneyvazul@1020:     typedef MaxCardinalitySearch Create;
alpar@1270: 
thoneyvazul@1020:     ///\name Named template parameters
thoneyvazul@1020: 
thoneyvazul@1020:     ///@{
thoneyvazul@1020: 
thoneyvazul@1020:     template <class T>
thoneyvazul@1020:     struct DefCapacityMapTraits : public Traits {
thoneyvazul@1020:       typedef T CapacityMap;
thoneyvazul@1020:       static CapacityMap *createCapacityMap(const Digraph &) {
alpar@1270:                LEMON_ASSERT(false,"Uninitialized parameter.");
alpar@1270:         return 0;
thoneyvazul@1020:       }
thoneyvazul@1020:     };
alpar@1270:     /// \brief \ref named-templ-param "Named parameter" for setting
thoneyvazul@1020:     /// CapacityMap type
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// \ref named-templ-param "Named parameter" for setting CapacityMap type
thoneyvazul@1020:     /// for the algorithm.
thoneyvazul@1020:     template <class T>
alpar@1270:     struct SetCapacityMap
alpar@1270:       : public MaxCardinalitySearch<Digraph, CapacityMap,
alpar@1270:                                     DefCapacityMapTraits<T> > {
alpar@1270:       typedef MaxCardinalitySearch<Digraph, CapacityMap,
thoneyvazul@1020:                                    DefCapacityMapTraits<T> > Create;
thoneyvazul@1020:     };
thoneyvazul@1020: 
thoneyvazul@1020:     template <class T>
thoneyvazul@1020:     struct DefCardinalityMapTraits : public Traits {
thoneyvazul@1020:       typedef T CardinalityMap;
alpar@1270:       static CardinalityMap *createCardinalityMap(const Digraph &)
thoneyvazul@1020:       {
alpar@1270:         LEMON_ASSERT(false,"Uninitialized parameter.");
alpar@1270:         return 0;
thoneyvazul@1020:       }
thoneyvazul@1020:     };
alpar@1270:     /// \brief \ref named-templ-param "Named parameter" for setting
thoneyvazul@1020:     /// CardinalityMap type
thoneyvazul@1020:     ///
alpar@1270:     /// \ref named-templ-param "Named parameter" for setting CardinalityMap
thoneyvazul@1020:     /// type for the algorithm.
thoneyvazul@1020:     template <class T>
alpar@1270:     struct SetCardinalityMap
alpar@1270:       : public MaxCardinalitySearch<Digraph, CapacityMap,
alpar@1270:                                     DefCardinalityMapTraits<T> > {
alpar@1270:       typedef MaxCardinalitySearch<Digraph, CapacityMap,
thoneyvazul@1020:                                    DefCardinalityMapTraits<T> > Create;
thoneyvazul@1020:     };
alpar@1270: 
thoneyvazul@1020:     template <class T>
thoneyvazul@1020:     struct DefProcessedMapTraits : public Traits {
thoneyvazul@1020:       typedef T ProcessedMap;
thoneyvazul@1020:       static ProcessedMap *createProcessedMap(const Digraph &) {
alpar@1270:                LEMON_ASSERT(false,"Uninitialized parameter.");
alpar@1270:         return 0;
thoneyvazul@1020:       }
thoneyvazul@1020:     };
alpar@1270:     /// \brief \ref named-templ-param "Named parameter" for setting
thoneyvazul@1020:     /// ProcessedMap type
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// \ref named-templ-param "Named parameter" for setting ProcessedMap type
thoneyvazul@1020:     /// for the algorithm.
thoneyvazul@1020:     template <class T>
alpar@1270:     struct SetProcessedMap
alpar@1270:       : public MaxCardinalitySearch<Digraph, CapacityMap,
alpar@1270:                                     DefProcessedMapTraits<T> > {
alpar@1270:       typedef MaxCardinalitySearch<Digraph, CapacityMap,
thoneyvazul@1020:                                    DefProcessedMapTraits<T> > Create;
thoneyvazul@1020:     };
alpar@1270: 
thoneyvazul@1020:     template <class H, class CR>
thoneyvazul@1020:     struct DefHeapTraits : public Traits {
thoneyvazul@1020:       typedef CR HeapCrossRef;
thoneyvazul@1020:       typedef H Heap;
thoneyvazul@1020:       static HeapCrossRef *createHeapCrossRef(const Digraph &) {
alpar@1270:              LEMON_ASSERT(false,"Uninitialized parameter.");
alpar@1270:         return 0;
thoneyvazul@1020:       }
thoneyvazul@1020:       static Heap *createHeap(HeapCrossRef &) {
alpar@1270:                LEMON_ASSERT(false,"Uninitialized parameter.");
alpar@1270:         return 0;
thoneyvazul@1020:       }
thoneyvazul@1020:     };
alpar@1270:     /// \brief \ref named-templ-param "Named parameter" for setting heap
thoneyvazul@1020:     /// and cross reference type
thoneyvazul@1020:     ///
alpar@1270:     /// \ref named-templ-param "Named parameter" for setting heap and cross
thoneyvazul@1020:     /// reference type for the algorithm.
thoneyvazul@1020:     template <class H, class CR = typename Digraph::template NodeMap<int> >
thoneyvazul@1020:     struct SetHeap
alpar@1270:       : public MaxCardinalitySearch<Digraph, CapacityMap,
alpar@1270:                                     DefHeapTraits<H, CR> > {
alpar@1270:       typedef MaxCardinalitySearch< Digraph, CapacityMap,
thoneyvazul@1020:                                     DefHeapTraits<H, CR> > Create;
thoneyvazul@1020:     };
thoneyvazul@1020: 
thoneyvazul@1020:     template <class H, class CR>
thoneyvazul@1020:     struct DefStandardHeapTraits : public Traits {
thoneyvazul@1020:       typedef CR HeapCrossRef;
thoneyvazul@1020:       typedef H Heap;
thoneyvazul@1020:       static HeapCrossRef *createHeapCrossRef(const Digraph &digraph) {
alpar@1270:         return new HeapCrossRef(digraph);
thoneyvazul@1020:       }
thoneyvazul@1020:       static Heap *createHeap(HeapCrossRef &crossref) {
alpar@1270:         return new Heap(crossref);
thoneyvazul@1020:       }
thoneyvazul@1020:     };
thoneyvazul@1020: 
alpar@1270:     /// \brief \ref named-templ-param "Named parameter" for setting heap and
thoneyvazul@1020:     /// cross reference type with automatic allocation
thoneyvazul@1020:     ///
alpar@1270:     /// \ref named-templ-param "Named parameter" for setting heap and cross
alpar@1270:     /// reference type. It can allocate the heap and the cross reference
alpar@1270:     /// object if the cross reference's constructor waits for the digraph as
thoneyvazul@1020:     /// parameter and the heap's constructor waits for the cross reference.
thoneyvazul@1020:     template <class H, class CR = typename Digraph::template NodeMap<int> >
thoneyvazul@1020:     struct SetStandardHeap
alpar@1270:       : public MaxCardinalitySearch<Digraph, CapacityMap,
alpar@1270:                                     DefStandardHeapTraits<H, CR> > {
alpar@1270:       typedef MaxCardinalitySearch<Digraph, CapacityMap,
alpar@1270:                                    DefStandardHeapTraits<H, CR> >
thoneyvazul@1020:       Create;
thoneyvazul@1020:     };
alpar@1270: 
thoneyvazul@1020:     ///@}
thoneyvazul@1020: 
thoneyvazul@1020: 
thoneyvazul@1020:   protected:
thoneyvazul@1020: 
thoneyvazul@1020:     MaxCardinalitySearch() {}
thoneyvazul@1020: 
alpar@1270:   public:
alpar@1270: 
thoneyvazul@1020:     /// \brief Constructor.
thoneyvazul@1020:     ///
thoneyvazul@1020:     ///\param digraph the digraph the algorithm will run on.
thoneyvazul@1020:     ///\param capacity the capacity map used by the algorithm.
thoneyvazul@1020:     MaxCardinalitySearch(const Digraph& digraph,
alpar@1270:                          const CapacityMap& capacity) :
thoneyvazul@1020:       _graph(&digraph),
thoneyvazul@1020:       _capacity(&capacity), local_capacity(false),
thoneyvazul@1020:       _cardinality(0), local_cardinality(false),
thoneyvazul@1020:       _processed(0), local_processed(false),
thoneyvazul@1020:       _heap_cross_ref(0), local_heap_cross_ref(false),
thoneyvazul@1020:       _heap(0), local_heap(false)
thoneyvazul@1020:     { }
thoneyvazul@1020: 
alpar@1129:     /// \brief Constructor.
alpar@1129:     ///
alpar@1129:     ///\param digraph the digraph the algorithm will run on.
alpar@1129:     ///
alpar@1129:     ///A constant 1 capacity map will be allocated.
alpar@1129:     MaxCardinalitySearch(const Digraph& digraph) :
alpar@1129:       _graph(&digraph),
alpar@1129:       _capacity(0), local_capacity(false),
alpar@1129:       _cardinality(0), local_cardinality(false),
alpar@1129:       _processed(0), local_processed(false),
alpar@1129:       _heap_cross_ref(0), local_heap_cross_ref(false),
alpar@1129:       _heap(0), local_heap(false)
alpar@1129:     { }
alpar@1129: 
thoneyvazul@1020:     /// \brief Destructor.
thoneyvazul@1020:     ~MaxCardinalitySearch() {
thoneyvazul@1020:       if(local_capacity) delete _capacity;
thoneyvazul@1020:       if(local_cardinality) delete _cardinality;
thoneyvazul@1020:       if(local_processed) delete _processed;
thoneyvazul@1020:       if(local_heap_cross_ref) delete _heap_cross_ref;
thoneyvazul@1020:       if(local_heap) delete _heap;
thoneyvazul@1020:     }
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief Sets the capacity map.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Sets the capacity map.
thoneyvazul@1020:     /// \return <tt> (*this) </tt>
thoneyvazul@1020:     MaxCardinalitySearch &capacityMap(const CapacityMap &m) {
thoneyvazul@1020:       if (local_capacity) {
alpar@1270:         delete _capacity;
alpar@1270:         local_capacity=false;
thoneyvazul@1020:       }
thoneyvazul@1020:       _capacity=&m;
thoneyvazul@1020:       return *this;
thoneyvazul@1020:     }
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief Returns a const reference to the capacity map.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Returns a const reference to the capacity map used by
thoneyvazul@1020:     /// the algorithm.
thoneyvazul@1020:     const CapacityMap &capacityMap() const {
thoneyvazul@1020:       return *_capacity;
thoneyvazul@1020:     }
thoneyvazul@1020: 
alpar@1270:     /// \brief Sets the map storing the cardinalities calculated by the
thoneyvazul@1020:     /// algorithm.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Sets the map storing the cardinalities calculated by the algorithm.
thoneyvazul@1020:     /// If you don't use this function before calling \ref run(),
thoneyvazul@1020:     /// it will allocate one. The destuctor deallocates this
thoneyvazul@1020:     /// automatically allocated map, of course.
thoneyvazul@1020:     /// \return <tt> (*this) </tt>
thoneyvazul@1020:     MaxCardinalitySearch &cardinalityMap(CardinalityMap &m) {
thoneyvazul@1020:       if(local_cardinality) {
alpar@1270:         delete _cardinality;
alpar@1270:         local_cardinality=false;
thoneyvazul@1020:       }
thoneyvazul@1020:       _cardinality = &m;
thoneyvazul@1020:       return *this;
thoneyvazul@1020:     }
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief Sets the map storing the processed nodes.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Sets the map storing the processed nodes.
thoneyvazul@1020:     /// If you don't use this function before calling \ref run(),
thoneyvazul@1020:     /// it will allocate one. The destuctor deallocates this
thoneyvazul@1020:     /// automatically allocated map, of course.
thoneyvazul@1020:     /// \return <tt> (*this) </tt>
alpar@1270:     MaxCardinalitySearch &processedMap(ProcessedMap &m)
thoneyvazul@1020:     {
thoneyvazul@1020:       if(local_processed) {
alpar@1270:         delete _processed;
alpar@1270:         local_processed=false;
thoneyvazul@1020:       }
thoneyvazul@1020:       _processed = &m;
thoneyvazul@1020:       return *this;
thoneyvazul@1020:     }
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief Returns a const reference to the cardinality map.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Returns a const reference to the cardinality map used by
thoneyvazul@1020:     /// the algorithm.
thoneyvazul@1020:     const ProcessedMap &processedMap() const {
thoneyvazul@1020:       return *_processed;
thoneyvazul@1020:     }
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief Sets the heap and the cross reference used by algorithm.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Sets the heap and the cross reference used by algorithm.
thoneyvazul@1020:     /// If you don't use this function before calling \ref run(),
thoneyvazul@1020:     /// it will allocate one. The destuctor deallocates this
thoneyvazul@1020:     /// automatically allocated map, of course.
thoneyvazul@1020:     /// \return <tt> (*this) </tt>
thoneyvazul@1020:     MaxCardinalitySearch &heap(Heap& hp, HeapCrossRef &cr) {
thoneyvazul@1020:       if(local_heap_cross_ref) {
alpar@1270:         delete _heap_cross_ref;
alpar@1270:         local_heap_cross_ref = false;
thoneyvazul@1020:       }
thoneyvazul@1020:       _heap_cross_ref = &cr;
thoneyvazul@1020:       if(local_heap) {
alpar@1270:         delete _heap;
alpar@1270:         local_heap = false;
thoneyvazul@1020:       }
thoneyvazul@1020:       _heap = &hp;
thoneyvazul@1020:       return *this;
thoneyvazul@1020:     }
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief Returns a const reference to the heap.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Returns a const reference to the heap used by
thoneyvazul@1020:     /// the algorithm.
thoneyvazul@1020:     const Heap &heap() const {
thoneyvazul@1020:       return *_heap;
thoneyvazul@1020:     }
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief Returns a const reference to the cross reference.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Returns a const reference to the cross reference
thoneyvazul@1020:     /// of the heap.
thoneyvazul@1020:     const HeapCrossRef &heapCrossRef() const {
thoneyvazul@1020:       return *_heap_cross_ref;
thoneyvazul@1020:     }
thoneyvazul@1020: 
thoneyvazul@1020:   private:
thoneyvazul@1020: 
thoneyvazul@1020:     typedef typename Digraph::Node Node;
thoneyvazul@1020:     typedef typename Digraph::NodeIt NodeIt;
thoneyvazul@1020:     typedef typename Digraph::Arc Arc;
thoneyvazul@1020:     typedef typename Digraph::InArcIt InArcIt;
thoneyvazul@1020: 
thoneyvazul@1020:     void create_maps() {
thoneyvazul@1020:       if(!_capacity) {
alpar@1270:         local_capacity = true;
alpar@1270:         _capacity = Traits::createCapacityMap(*_graph);
thoneyvazul@1020:       }
thoneyvazul@1020:       if(!_cardinality) {
alpar@1270:         local_cardinality = true;
alpar@1270:         _cardinality = Traits::createCardinalityMap(*_graph);
thoneyvazul@1020:       }
thoneyvazul@1020:       if(!_processed) {
alpar@1270:         local_processed = true;
alpar@1270:         _processed = Traits::createProcessedMap(*_graph);
thoneyvazul@1020:       }
thoneyvazul@1020:       if (!_heap_cross_ref) {
alpar@1270:         local_heap_cross_ref = true;
alpar@1270:         _heap_cross_ref = Traits::createHeapCrossRef(*_graph);
thoneyvazul@1020:       }
thoneyvazul@1020:       if (!_heap) {
alpar@1270:         local_heap = true;
alpar@1270:         _heap = Traits::createHeap(*_heap_cross_ref);
thoneyvazul@1020:       }
thoneyvazul@1020:     }
alpar@1270: 
thoneyvazul@1020:     void finalizeNodeData(Node node, Value capacity) {
thoneyvazul@1020:       _processed->set(node, true);
thoneyvazul@1020:       _cardinality->set(node, capacity);
thoneyvazul@1020:     }
thoneyvazul@1020: 
thoneyvazul@1020:   public:
thoneyvazul@1020:     /// \name Execution control
thoneyvazul@1020:     /// The simplest way to execute the algorithm is to use
thoneyvazul@1020:     /// one of the member functions called \ref run().
thoneyvazul@1020:     /// \n
thoneyvazul@1020:     /// If you need more control on the execution,
thoneyvazul@1020:     /// first you must call \ref init(), then you can add several source nodes
thoneyvazul@1020:     /// with \ref addSource().
thoneyvazul@1020:     /// Finally \ref start() will perform the computation.
thoneyvazul@1020: 
thoneyvazul@1020:     ///@{
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief Initializes the internal data structures.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Initializes the internal data structures, and clears the heap.
thoneyvazul@1020:     void init() {
thoneyvazul@1020:       create_maps();
thoneyvazul@1020:       _heap->clear();
thoneyvazul@1020:       for (NodeIt it(*_graph) ; it != INVALID ; ++it) {
alpar@1270:         _processed->set(it, false);
alpar@1270:         _heap_cross_ref->set(it, Heap::PRE_HEAP);
thoneyvazul@1020:       }
thoneyvazul@1020:     }
alpar@1270: 
thoneyvazul@1020:     /// \brief Adds a new source node.
alpar@1270:     ///
thoneyvazul@1020:     /// Adds a new source node to the priority heap.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// It checks if the node has not yet been added to the heap.
thoneyvazul@1020:     void addSource(Node source, Value capacity = 0) {
thoneyvazul@1020:       if(_heap->state(source) == Heap::PRE_HEAP) {
alpar@1270:         _heap->push(source, capacity);
alpar@1270:       }
thoneyvazul@1020:     }
alpar@1270: 
thoneyvazul@1020:     /// \brief Processes the next node in the priority heap
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Processes the next node in the priority heap.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// \return The processed node.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// \warning The priority heap must not be empty!
thoneyvazul@1020:     Node processNextNode() {
alpar@1270:       Node node = _heap->top();
thoneyvazul@1020:       finalizeNodeData(node, _heap->prio());
thoneyvazul@1020:       _heap->pop();
alpar@1270: 
thoneyvazul@1020:       for (InArcIt it(*_graph, node); it != INVALID; ++it) {
alpar@1270:         Node source = _graph->source(it);
alpar@1270:         switch (_heap->state(source)) {
alpar@1270:         case Heap::PRE_HEAP:
alpar@1270:           _heap->push(source, (*_capacity)[it]);
alpar@1270:           break;
alpar@1270:         case Heap::IN_HEAP:
alpar@1270:           _heap->decrease(source, (*_heap)[source] + (*_capacity)[it]);
alpar@1270:           break;
alpar@1270:         case Heap::POST_HEAP:
alpar@1270:           break;
alpar@1270:         }
thoneyvazul@1020:       }
thoneyvazul@1020:       return node;
thoneyvazul@1020:     }
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief Next node to be processed.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Next node to be processed.
thoneyvazul@1020:     ///
alpar@1270:     /// \return The next node to be processed or INVALID if the
thoneyvazul@1020:     /// priority heap is empty.
alpar@1270:     Node nextNode() {
thoneyvazul@1020:       return !_heap->empty() ? _heap->top() : INVALID;
thoneyvazul@1020:     }
alpar@1270: 
thoneyvazul@1020:     /// \brief Returns \c false if there are nodes
thoneyvazul@1020:     /// to be processed in the priority heap
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Returns \c false if there are nodes
thoneyvazul@1020:     /// to be processed in the priority heap
thoneyvazul@1020:     bool emptyQueue() { return _heap->empty(); }
alpar@1270:     /// \brief Returns the number of the nodes to be processed
thoneyvazul@1020:     /// in the priority heap
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Returns the number of the nodes to be processed in the priority heap
thoneyvazul@1020:     int emptySize() { return _heap->size(); }
alpar@1270: 
thoneyvazul@1020:     /// \brief Executes the algorithm.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Executes the algorithm.
thoneyvazul@1020:     ///
thoneyvazul@1020:     ///\pre init() must be called and at least one node should be added
thoneyvazul@1020:     /// with addSource() before using this function.
thoneyvazul@1020:     ///
alpar@1270:     /// This method runs the Maximum Cardinality Search algorithm from the
thoneyvazul@1020:     /// source node(s).
thoneyvazul@1020:     void start() {
thoneyvazul@1020:       while ( !_heap->empty() ) processNextNode();
thoneyvazul@1020:     }
alpar@1270: 
thoneyvazul@1020:     /// \brief Executes the algorithm until \c dest is reached.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Executes the algorithm until \c dest is reached.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// \pre init() must be called and at least one node should be added
thoneyvazul@1020:     /// with addSource() before using this function.
thoneyvazul@1020:     ///
alpar@1270:     /// This method runs the %MaxCardinalitySearch algorithm from the source
thoneyvazul@1020:     /// nodes.
thoneyvazul@1020:     void start(Node dest) {
thoneyvazul@1020:       while ( !_heap->empty() && _heap->top()!=dest ) processNextNode();
thoneyvazul@1020:       if ( !_heap->empty() ) finalizeNodeData(_heap->top(), _heap->prio());
thoneyvazul@1020:     }
alpar@1270: 
thoneyvazul@1020:     /// \brief Executes the algorithm until a condition is met.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Executes the algorithm until a condition is met.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// \pre init() must be called and at least one node should be added
thoneyvazul@1020:     /// with addSource() before using this function.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// \param nm must be a bool (or convertible) node map. The algorithm
thoneyvazul@1020:     /// will stop when it reaches a node \c v with <tt>nm[v]==true</tt>.
thoneyvazul@1020:     template <typename NodeBoolMap>
thoneyvazul@1020:     void start(const NodeBoolMap &nm) {
thoneyvazul@1020:       while ( !_heap->empty() && !nm[_heap->top()] ) processNextNode();
thoneyvazul@1020:       if ( !_heap->empty() ) finalizeNodeData(_heap->top(),_heap->prio());
thoneyvazul@1020:     }
alpar@1270: 
thoneyvazul@1020:     /// \brief Runs the maximum cardinality search algorithm from node \c s.
thoneyvazul@1020:     ///
alpar@1270:     /// This method runs the %MaxCardinalitySearch algorithm from a root
thoneyvazul@1020:     /// node \c s.
thoneyvazul@1020:     ///
thoneyvazul@1020:     ///\note d.run(s) is just a shortcut of the following code.
thoneyvazul@1020:     ///\code
thoneyvazul@1020:     ///  d.init();
thoneyvazul@1020:     ///  d.addSource(s);
thoneyvazul@1020:     ///  d.start();
thoneyvazul@1020:     ///\endcode
thoneyvazul@1020:     void run(Node s) {
thoneyvazul@1020:       init();
thoneyvazul@1020:       addSource(s);
thoneyvazul@1020:       start();
thoneyvazul@1020:     }
thoneyvazul@1020: 
alpar@1270:     /// \brief Runs the maximum cardinality search algorithm for the
thoneyvazul@1020:     /// whole digraph.
thoneyvazul@1020:     ///
alpar@1270:     /// This method runs the %MaxCardinalitySearch algorithm from all
thoneyvazul@1020:     /// unprocessed node of the digraph.
thoneyvazul@1020:     ///
thoneyvazul@1020:     ///\note d.run(s) is just a shortcut of the following code.
thoneyvazul@1020:     ///\code
thoneyvazul@1020:     ///  d.init();
thoneyvazul@1020:     ///  for (NodeIt it(digraph); it != INVALID; ++it) {
thoneyvazul@1020:     ///    if (!d.reached(it)) {
thoneyvazul@1020:     ///      d.addSource(s);
thoneyvazul@1020:     ///      d.start();
thoneyvazul@1020:     ///    }
thoneyvazul@1020:     ///  }
thoneyvazul@1020:     ///\endcode
thoneyvazul@1020:     void run() {
thoneyvazul@1020:       init();
thoneyvazul@1020:       for (NodeIt it(*_graph); it != INVALID; ++it) {
thoneyvazul@1020:         if (!reached(it)) {
thoneyvazul@1020:           addSource(it);
thoneyvazul@1020:           start();
thoneyvazul@1020:         }
thoneyvazul@1020:       }
thoneyvazul@1020:     }
alpar@1270: 
thoneyvazul@1020:     ///@}
thoneyvazul@1020: 
thoneyvazul@1020:     /// \name Query Functions
alpar@1270:     /// The results of the maximum cardinality search algorithm can be
thoneyvazul@1020:     /// obtained using these functions.
thoneyvazul@1020:     /// \n
alpar@1270:     /// Before the use of these functions, either run() or start() must be
thoneyvazul@1020:     /// called.
alpar@1270: 
thoneyvazul@1020:     ///@{
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief The cardinality of a node.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Returns the cardinality of a node.
thoneyvazul@1020:     /// \pre \ref run() must be called before using this function.
thoneyvazul@1020:     /// \warning If node \c v in unreachable from the root the return value
thoneyvazul@1020:     /// of this funcion is undefined.
thoneyvazul@1020:     Value cardinality(Node node) const { return (*_cardinality)[node]; }
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief The current cardinality of a node.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Returns the current cardinality of a node.
thoneyvazul@1020:     /// \pre the given node should be reached but not processed
thoneyvazul@1020:     Value currentCardinality(Node node) const { return (*_heap)[node]; }
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief Returns a reference to the NodeMap of cardinalities.
thoneyvazul@1020:     ///
alpar@1270:     /// Returns a reference to the NodeMap of cardinalities. \pre \ref run()
thoneyvazul@1020:     /// must be called before using this function.
thoneyvazul@1020:     const CardinalityMap &cardinalityMap() const { return *_cardinality;}
alpar@1270: 
thoneyvazul@1020:     /// \brief Checks if a node is reachable from the root.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Returns \c true if \c v is reachable from the root.
thoneyvazul@1020:     /// \warning The source nodes are initated as unreached.
thoneyvazul@1020:     /// \pre \ref run() must be called before using this function.
thoneyvazul@1020:     bool reached(Node v) { return (*_heap_cross_ref)[v] != Heap::PRE_HEAP; }
thoneyvazul@1020: 
thoneyvazul@1020:     /// \brief Checks if a node is processed.
thoneyvazul@1020:     ///
thoneyvazul@1020:     /// Returns \c true if \c v is processed, i.e. the shortest
thoneyvazul@1020:     /// path to \c v has already found.
thoneyvazul@1020:     /// \pre \ref run() must be called before using this function.
thoneyvazul@1020:     bool processed(Node v) { return (*_heap_cross_ref)[v] == Heap::POST_HEAP; }
alpar@1270: 
thoneyvazul@1020:     ///@}
thoneyvazul@1020:   };
thoneyvazul@1020: 
thoneyvazul@1020: }
thoneyvazul@1020: 
thoneyvazul@1020: #endif