lemon/concepts/heap.h
author Balazs Dezso <deba@inf.elte.hu>
Tue, 02 Dec 2008 23:15:43 +0100
changeset 443 de16f1f2d228
parent 220 a5d8c039f218
child 440 88ed40ad0d4f
permissions -rw-r--r--
Rename counterSort to stableRadixSort
     1 /* -*- mode: C++; indent-tabs-mode: nil; -*-
     2  *
     3  * This file is a part of LEMON, a generic C++ optimization library.
     4  *
     5  * Copyright (C) 2003-2008
     6  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
     7  * (Egervary Research Group on Combinatorial Optimization, EGRES).
     8  *
     9  * Permission to use, modify and distribute this software is granted
    10  * provided that this copyright notice appears in all copies. For
    11  * precise terms see the accompanying LICENSE file.
    12  *
    13  * This software is provided "AS IS" with no warranty of any kind,
    14  * express or implied, and with no claim as to its suitability for any
    15  * purpose.
    16  *
    17  */
    18 
    19 ///\ingroup concept
    20 ///\file
    21 ///\brief The concept of heaps.
    22 
    23 #ifndef LEMON_CONCEPT_HEAP_H
    24 #define LEMON_CONCEPT_HEAP_H
    25 
    26 #include <lemon/core.h>
    27 
    28 namespace lemon {
    29 
    30   namespace concepts {
    31 
    32     /// \addtogroup concept
    33     /// @{
    34 
    35     /// \brief The heap concept.
    36     ///
    37     /// Concept class describing the main interface of heaps.
    38     template <typename Priority, typename ItemIntMap>
    39     class Heap {
    40     public:
    41 
    42       /// Type of the items stored in the heap.
    43       typedef typename ItemIntMap::Key Item;
    44 
    45       /// Type of the priorities.
    46       typedef Priority Prio;
    47 
    48       /// \brief Type to represent the states of the items.
    49       ///
    50       /// Each item has a state associated to it. It can be "in heap",
    51       /// "pre heap" or "post heap". The later two are indifferent
    52       /// from the point of view of the heap, but may be useful for
    53       /// the user.
    54       ///
    55       /// The \c ItemIntMap must be initialized in such a way, that it
    56       /// assigns \c PRE_HEAP (<tt>-1</tt>) to every item.
    57       enum State {
    58         IN_HEAP = 0,
    59         PRE_HEAP = -1,
    60         POST_HEAP = -2
    61       };
    62 
    63       /// \brief The constructor.
    64       ///
    65       /// The constructor.
    66       /// \param map A map that assigns \c int values to keys of type
    67       /// \c Item. It is used internally by the heap implementations to
    68       /// handle the cross references. The assigned value must be
    69       /// \c PRE_HEAP (<tt>-1</tt>) for every item.
    70       explicit Heap(ItemIntMap &map) {}
    71 
    72       /// \brief The number of items stored in the heap.
    73       ///
    74       /// Returns the number of items stored in the heap.
    75       int size() const { return 0; }
    76 
    77       /// \brief Checks if the heap is empty.
    78       ///
    79       /// Returns \c true if the heap is empty.
    80       bool empty() const { return false; }
    81 
    82       /// \brief Makes the heap empty.
    83       ///
    84       /// Makes the heap empty.
    85       void clear();
    86 
    87       /// \brief Inserts an item into the heap with the given priority.
    88       ///
    89       /// Inserts the given item into the heap with the given priority.
    90       /// \param i The item to insert.
    91       /// \param p The priority of the item.
    92       void push(const Item &i, const Prio &p) {}
    93 
    94       /// \brief Returns the item having minimum priority.
    95       ///
    96       /// Returns the item having minimum priority.
    97       /// \pre The heap must be non-empty.
    98       Item top() const {}
    99 
   100       /// \brief The minimum priority.
   101       ///
   102       /// Returns the minimum priority.
   103       /// \pre The heap must be non-empty.
   104       Prio prio() const {}
   105 
   106       /// \brief Removes the item having minimum priority.
   107       ///
   108       /// Removes the item having minimum priority.
   109       /// \pre The heap must be non-empty.
   110       void pop() {}
   111 
   112       /// \brief Removes an item from the heap.
   113       ///
   114       /// Removes the given item from the heap if it is already stored.
   115       /// \param i The item to delete.
   116       void erase(const Item &i) {}
   117 
   118       /// \brief The priority of an item.
   119       ///
   120       /// Returns the priority of the given item.
   121       /// \pre \c i must be in the heap.
   122       /// \param i The item.
   123       Prio operator[](const Item &i) const {}
   124 
   125       /// \brief Sets the priority of an item or inserts it, if it is
   126       /// not stored in the heap.
   127       ///
   128       /// This method sets the priority of the given item if it is
   129       /// already stored in the heap.
   130       /// Otherwise it inserts the given item with the given priority.
   131       ///
   132       /// \param i The item.
   133       /// \param p The priority.
   134       void set(const Item &i, const Prio &p) {}
   135 
   136       /// \brief Decreases the priority of an item to the given value.
   137       ///
   138       /// Decreases the priority of an item to the given value.
   139       /// \pre \c i must be stored in the heap with priority at least \c p.
   140       /// \param i The item.
   141       /// \param p The priority.
   142       void decrease(const Item &i, const Prio &p) {}
   143 
   144       /// \brief Increases the priority of an item to the given value.
   145       ///
   146       /// Increases the priority of an item to the given value.
   147       /// \pre \c i must be stored in the heap with priority at most \c p.
   148       /// \param i The item.
   149       /// \param p The priority.
   150       void increase(const Item &i, const Prio &p) {}
   151 
   152       /// \brief Returns if an item is in, has already been in, or has
   153       /// never been in the heap.
   154       ///
   155       /// This method returns \c PRE_HEAP if the given item has never
   156       /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
   157       /// and \c POST_HEAP otherwise.
   158       /// In the latter case it is possible that the item will get back
   159       /// to the heap again.
   160       /// \param i The item.
   161       State state(const Item &i) const {}
   162 
   163       /// \brief Sets the state of an item in the heap.
   164       ///
   165       /// Sets the state of the given item in the heap. It can be used
   166       /// to manually clear the heap when it is important to achive the
   167       /// better time complexity.
   168       /// \param i The item.
   169       /// \param st The state. It should not be \c IN_HEAP.
   170       void state(const Item& i, State st) {}
   171 
   172 
   173       template <typename _Heap>
   174       struct Constraints {
   175       public:
   176         void constraints() {
   177           typedef typename _Heap::Item OwnItem;
   178           typedef typename _Heap::Prio OwnPrio;
   179           typedef typename _Heap::State OwnState;
   180 
   181           Item item;
   182           Prio prio;
   183           item=Item();
   184           prio=Prio();
   185           ignore_unused_variable_warning(item);
   186           ignore_unused_variable_warning(prio);
   187 
   188           OwnItem own_item;
   189           OwnPrio own_prio;
   190           OwnState own_state;
   191           own_item=Item();
   192           own_prio=Prio();
   193           ignore_unused_variable_warning(own_item);
   194           ignore_unused_variable_warning(own_prio);
   195           ignore_unused_variable_warning(own_state);
   196 
   197           _Heap heap1(map);
   198           _Heap heap2 = heap1;
   199           ignore_unused_variable_warning(heap1);
   200           ignore_unused_variable_warning(heap2);
   201 
   202           int s = heap.size();
   203           ignore_unused_variable_warning(s);
   204           bool e = heap.empty();
   205           ignore_unused_variable_warning(e);
   206 
   207           prio = heap.prio();
   208           item = heap.top();
   209           prio = heap[item];
   210           own_prio = heap.prio();
   211           own_item = heap.top();
   212           own_prio = heap[own_item];
   213 
   214           heap.push(item, prio);
   215           heap.push(own_item, own_prio);
   216           heap.pop();
   217 
   218           heap.set(item, prio);
   219           heap.decrease(item, prio);
   220           heap.increase(item, prio);
   221           heap.set(own_item, own_prio);
   222           heap.decrease(own_item, own_prio);
   223           heap.increase(own_item, own_prio);
   224 
   225           heap.erase(item);
   226           heap.erase(own_item);
   227           heap.clear();
   228 
   229           own_state = heap.state(own_item);
   230           heap.state(own_item, own_state);
   231 
   232           own_state = _Heap::PRE_HEAP;
   233           own_state = _Heap::IN_HEAP;
   234           own_state = _Heap::POST_HEAP;
   235         }
   236 
   237         _Heap& heap;
   238         ItemIntMap& map;
   239       };
   240     };
   241 
   242     /// @}
   243   } // namespace lemon
   244 }
   245 #endif // LEMON_CONCEPT_PATH_H