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+/* -*- mode: C++; indent-tabs-mode: nil; -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library.
+ *
+ * Copyright (C) 2003-2013
+ * 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_CONCEPTS_HEAP_H
+#define LEMON_CONCEPTS_HEAP_H
+
+///\ingroup concept
+///\file
+///\brief The concept of heaps.
+
+#include <lemon/core.h>
+#include <lemon/concept_check.h>
+
+namespace lemon {
+
+ namespace concepts {
+
+ /// \addtogroup concept
+ /// @{
+
+ /// \brief The heap concept.
+ ///
+ /// This concept class describes the main interface of heaps.
+ /// The various \ref heaps "heap structures" are efficient
+ /// implementations of the abstract data type \e priority \e queue.
+ /// They store items with specified values called \e priorities
+ /// in such a way that finding and removing the item with minimum
+ /// priority are efficient. The basic operations are adding and
+ /// erasing items, changing the priority of an item, etc.
+ ///
+ /// Heaps are crucial in several algorithms, such as Dijkstra and Prim.
+ /// Any class that conforms to this concept can be used easily in such
+ /// algorithms.
+ ///
+ /// \tparam PR Type of the priorities of the items.
+ /// \tparam IM A read-writable item map with \c int values, used
+ /// internally to handle the cross references.
+ /// \tparam CMP A functor class for comparing the priorities.
+ /// The default is \c std::less<PR>.
+#ifdef DOXYGEN
+ template <typename PR, typename IM, typename CMP>
+#else
+ template <typename PR, typename IM, typename CMP = std::less<PR> >
+#endif
+ class Heap {
+ public:
+
+ /// Type of the item-int map.
+ typedef IM ItemIntMap;
+ /// Type of the priorities.
+ typedef PR Prio;
+ /// Type of the items stored in the heap.
+ typedef typename ItemIntMap::Key Item;
+
+ /// \brief Type to represent the states of the items.
+ ///
+ /// Each item has a state associated to it. It can be "in heap",
+ /// "pre-heap" or "post-heap". The latter two are indifferent from the
+ /// heap's point of view, but may be useful to the user.
+ ///
+ /// The item-int map must be initialized in such way that it assigns
+ /// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap.
+ enum State {
+ IN_HEAP = 0, ///< = 0. The "in heap" state constant.
+ PRE_HEAP = -1, ///< = -1. The "pre-heap" state constant.
+ POST_HEAP = -2 ///< = -2. The "post-heap" state constant.
+ };
+
+ /// \brief Constructor.
+ ///
+ /// Constructor.
+ /// \param map A map that assigns \c int values to keys of type
+ /// \c Item. It is used internally by the heap implementations to
+ /// handle the cross references. The assigned value must be
+ /// \c PRE_HEAP (<tt>-1</tt>) for each item.
+#ifdef DOXYGEN
+ explicit Heap(ItemIntMap &map) {}
+#else
+ explicit Heap(ItemIntMap&) {}
+#endif
+
+ /// \brief Constructor.
+ ///
+ /// Constructor.
+ /// \param map A map that assigns \c int values to keys of type
+ /// \c Item. It is used internally by the heap implementations to
+ /// handle the cross references. The assigned value must be
+ /// \c PRE_HEAP (<tt>-1</tt>) for each item.
+ /// \param comp The function object used for comparing the priorities.
+#ifdef DOXYGEN
+ explicit Heap(ItemIntMap &map, const CMP &comp) {}
+#else
+ explicit Heap(ItemIntMap&, const CMP&) {}
+#endif
+
+ /// \brief The number of items stored in the heap.
+ ///
+ /// This function returns the number of items stored in the heap.
+ int size() const { return 0; }
+
+ /// \brief Check if the heap is empty.
+ ///
+ /// This function returns \c true if the heap is empty.
+ bool empty() const { return false; }
+
+ /// \brief Make the heap empty.
+ ///
+ /// This functon makes the heap empty.
+ /// It does not change the cross reference map. If you want to reuse
+ /// a heap that is not surely empty, you should first clear it and
+ /// then you should set the cross reference map to \c PRE_HEAP
+ /// for each item.
+ void clear() {}
+
+ /// \brief Insert an item into the heap with the given priority.
+ ///
+ /// This function inserts the given item into the heap with the
+ /// given priority.
+ /// \param i The item to insert.
+ /// \param p The priority of the item.
+ /// \pre \e i must not be stored in the heap.
+#ifdef DOXYGEN
+ void push(const Item &i, const Prio &p) {}
+#else
+ void push(const Item&, const Prio&) {}
+#endif
+
+ /// \brief Return the item having minimum priority.
+ ///
+ /// This function returns the item having minimum priority.
+ /// \pre The heap must be non-empty.
+ Item top() const { return Item(); }
+
+ /// \brief The minimum priority.
+ ///
+ /// This function returns the minimum priority.
+ /// \pre The heap must be non-empty.
+ Prio prio() const { return Prio(); }
+
+ /// \brief Remove the item having minimum priority.
+ ///
+ /// This function removes the item having minimum priority.
+ /// \pre The heap must be non-empty.
+ void pop() {}
+
+ /// \brief Remove the given item from the heap.
+ ///
+ /// This function removes the given item from the heap if it is
+ /// already stored.
+ /// \param i The item to delete.
+ /// \pre \e i must be in the heap.
+#ifdef DOXYGEN
+ void erase(const Item &i) {}
+#else
+ void erase(const Item&) {}
+#endif
+
+ /// \brief The priority of the given item.
+ ///
+ /// This function returns the priority of the given item.
+ /// \param i The item.
+ /// \pre \e i must be in the heap.
+#ifdef DOXYGEN
+ Prio operator[](const Item &i) const {}
+#else
+ Prio operator[](const Item&) const { return Prio(); }
+#endif
+
+ /// \brief Set the priority of an item or insert it, if it is
+ /// not stored in the heap.
+ ///
+ /// This method sets the priority of the given item if it is
+ /// already stored in the heap. Otherwise it inserts the given
+ /// item into the heap with the given priority.
+ ///
+ /// \param i The item.
+ /// \param p The priority.
+#ifdef DOXYGEN
+ void set(const Item &i, const Prio &p) {}
+#else
+ void set(const Item&, const Prio&) {}
+#endif
+
+ /// \brief Decrease the priority of an item to the given value.
+ ///
+ /// This function decreases the priority of an item to the given value.
+ /// \param i The item.
+ /// \param p The priority.
+ /// \pre \e i must be stored in the heap with priority at least \e p.
+#ifdef DOXYGEN
+ void decrease(const Item &i, const Prio &p) {}
+#else
+ void decrease(const Item&, const Prio&) {}
+#endif
+
+ /// \brief Increase the priority of an item to the given value.
+ ///
+ /// This function increases the priority of an item to the given value.
+ /// \param i The item.
+ /// \param p The priority.
+ /// \pre \e i must be stored in the heap with priority at most \e p.
+#ifdef DOXYGEN
+ void increase(const Item &i, const Prio &p) {}
+#else
+ void increase(const Item&, const Prio&) {}
+#endif
+
+ /// \brief Return the state of an item.
+ ///
+ /// This method returns \c PRE_HEAP if the given item has never
+ /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
+ /// and \c POST_HEAP otherwise.
+ /// In the latter case it is possible that the item will get back
+ /// to the heap again.
+ /// \param i The item.
+#ifdef DOXYGEN
+ State state(const Item &i) const {}
+#else
+ State state(const Item&) const { return PRE_HEAP; }
+#endif
+
+ /// \brief Set the state of an item in the heap.
+ ///
+ /// This function sets the state of the given item in the heap.
+ /// It can be used to manually clear the heap when it is important
+ /// to achive better time complexity.
+ /// \param i The item.
+ /// \param st The state. It should not be \c IN_HEAP.
+#ifdef DOXYGEN
+ void state(const Item& i, State st) {}
+#else
+ void state(const Item&, State) {}
+#endif
+
+
+ template <typename _Heap>
+ struct Constraints {
+ public:
+ void constraints() {
+ typedef typename _Heap::Item OwnItem;
+ typedef typename _Heap::Prio OwnPrio;
+ typedef typename _Heap::State OwnState;
+
+ Item item;
+ Prio prio;
+ item=Item();
+ prio=Prio();
+ ::lemon::ignore_unused_variable_warning(item);
+ ::lemon::ignore_unused_variable_warning(prio);
+
+ OwnItem own_item;
+ OwnPrio own_prio;
+ OwnState own_state;
+ own_item=Item();
+ own_prio=Prio();
+ ::lemon::ignore_unused_variable_warning(own_item);
+ ::lemon::ignore_unused_variable_warning(own_prio);
+ ::lemon::ignore_unused_variable_warning(own_state);
+
+ _Heap heap1(map);
+ _Heap heap2 = heap1;
+ ::lemon::ignore_unused_variable_warning(heap1);
+ ::lemon::ignore_unused_variable_warning(heap2);
+
+ int s = heap.size();
+ ::lemon::ignore_unused_variable_warning(s);
+ bool e = heap.empty();
+ ::lemon::ignore_unused_variable_warning(e);
+
+ prio = heap.prio();
+ item = heap.top();
+ prio = heap[item];
+ own_prio = heap.prio();
+ own_item = heap.top();
+ own_prio = heap[own_item];
+
+ heap.push(item, prio);
+ heap.push(own_item, own_prio);
+ heap.pop();
+
+ heap.set(item, prio);
+ heap.decrease(item, prio);
+ heap.increase(item, prio);
+ heap.set(own_item, own_prio);
+ heap.decrease(own_item, own_prio);
+ heap.increase(own_item, own_prio);
+
+ heap.erase(item);
+ heap.erase(own_item);
+ heap.clear();
+
+ own_state = heap.state(own_item);
+ heap.state(own_item, own_state);
+
+ own_state = _Heap::PRE_HEAP;
+ own_state = _Heap::IN_HEAP;
+ own_state = _Heap::POST_HEAP;
+ }
+
+ _Heap& heap;
+ ItemIntMap& map;
+ Constraints() {}
+ };
+ };
+
+ /// @}
+ } // namespace lemon
+}
+#endif