COIN-OR::LEMON - Graph Library

Changeset 756:0747f332c478 in lemon


Ignore:
Timestamp:
07/08/09 17:21:30 (9 years ago)
Author:
Peter Kovacs <kpeter@…>
Branch:
default
Phase:
public
Message:

Improve and unify the documentation of heaps (#299)
and avoid a warning in SimpleBucketHeap::operator[].

Location:
lemon
Files:
5 edited

Legend:

Unmodified
Added
Removed
  • lemon/bin_heap.h

    r730 r756  
    2222///\ingroup auxdat
    2323///\file
    24 ///\brief Binary Heap implementation.
     24///\brief Binary heap implementation.
    2525
    2626#include <vector>
     
    3030namespace lemon {
    3131
    32   ///\ingroup auxdat
     32  /// \ingroup auxdat
    3333  ///
    34   ///\brief A Binary Heap implementation.
     34  /// \brief Binary heap data structure.
    3535  ///
    36   ///This class implements the \e binary \e heap data structure.
     36  /// This class implements the \e binary \e heap data structure.
     37  /// It fully conforms to the \ref concepts::Heap "heap concept".
    3738  ///
    38   ///A \e heap is a data structure for storing items with specified values
    39   ///called \e priorities in such a way that finding the item with minimum
    40   ///priority is efficient. \c CMP specifies the ordering of the priorities.
    41   ///In a heap one can change the priority of an item, add or erase an
    42   ///item, etc.
    43   ///
    44   ///\tparam PR Type of the priority of the items.
    45   ///\tparam IM A read and writable item map with int values, used internally
    46   ///to handle the cross references.
    47   ///\tparam CMP A functor class for the ordering of the priorities.
    48   ///The default is \c std::less<PR>.
    49   ///
    50   ///\sa FibHeap
    51   ///\sa Dijkstra
     39  /// \tparam PR Type of the priorities of the items.
     40  /// \tparam IM A read-writable item map with \c int values, used
     41  /// internally to handle the cross references.
     42  /// \tparam CMP A functor class for comparing the priorities.
     43  /// The default is \c std::less<PR>.
     44#ifdef DOXYGEN
     45  template <typename PR, typename IM, typename CMP>
     46#else
    5247  template <typename PR, typename IM, typename CMP = std::less<PR> >
     48#endif
    5349  class BinHeap {
    54 
    5550  public:
    56     ///\e
     51
     52    /// Type of the item-int map.
    5753    typedef IM ItemIntMap;
    58     ///\e
     54    /// Type of the priorities.
    5955    typedef PR Prio;
    60     ///\e
     56    /// Type of the items stored in the heap.
    6157    typedef typename ItemIntMap::Key Item;
    62     ///\e
     58    /// Type of the item-priority pairs.
    6359    typedef std::pair<Item,Prio> Pair;
    64     ///\e
     60    /// Functor type for comparing the priorities.
    6561    typedef CMP Compare;
    6662
    67     /// \brief Type to represent the items states.
    68     ///
    69     /// Each Item element have a state associated to it. It may be "in heap",
    70     /// "pre heap" or "post heap". The latter two are indifferent from the
     63    /// \brief Type to represent the states of the items.
     64    ///
     65    /// Each item has a state associated to it. It can be "in heap",
     66    /// "pre-heap" or "post-heap". The latter two are indifferent from the
    7167    /// heap's point of view, but may be useful to the user.
    7268    ///
     
    8581
    8682  public:
    87     /// \brief The constructor.
    88     ///
    89     /// The constructor.
    90     /// \param map should be given to the constructor, since it is used
    91     /// internally to handle the cross references. The value of the map
    92     /// must be \c PRE_HEAP (<tt>-1</tt>) for every item.
     83
     84    /// \brief Constructor.
     85    ///
     86    /// Constructor.
     87    /// \param map A map that assigns \c int values to the items.
     88    /// It is used internally to handle the cross references.
     89    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
    9390    explicit BinHeap(ItemIntMap &map) : _iim(map) {}
    9491
    95     /// \brief The constructor.
    96     ///
    97     /// The constructor.
    98     /// \param map should be given to the constructor, since it is used
    99     /// internally to handle the cross references. The value of the map
    100     /// should be PRE_HEAP (-1) for each element.
    101     ///
    102     /// \param comp The comparator function object.
     92    /// \brief Constructor.
     93    ///
     94    /// Constructor.
     95    /// \param map A map that assigns \c int values to the items.
     96    /// It is used internally to handle the cross references.
     97    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
     98    /// \param comp The function object used for comparing the priorities.
    10399    BinHeap(ItemIntMap &map, const Compare &comp)
    104100      : _iim(map), _comp(comp) {}
    105101
    106102
    107     /// The number of items stored in the heap.
    108     ///
    109     /// \brief Returns the number of items stored in the heap.
     103    /// \brief The number of items stored in the heap.
     104    ///
     105    /// This function returns the number of items stored in the heap.
    110106    int size() const { return _data.size(); }
    111107
    112     /// \brief Checks if the heap stores no items.
    113     ///
    114     /// Returns \c true if and only if the heap stores no items.
     108    /// \brief Check if the heap is empty.
     109    ///
     110    /// This function returns \c true if the heap is empty.
    115111    bool empty() const { return _data.empty(); }
    116112
    117     /// \brief Make empty this heap.
    118     ///
    119     /// Make empty this heap. It does not change the cross reference map.
    120     /// If you want to reuse what is not surely empty you should first clear
    121     /// the heap and after that you should set the cross reference map for
    122     /// each item to \c PRE_HEAP.
     113    /// \brief Make the heap empty.
     114    ///
     115    /// This functon makes the heap empty.
     116    /// It does not change the cross reference map. If you want to reuse
     117    /// a heap that is not surely empty, you should first clear it and
     118    /// then you should set the cross reference map to \c PRE_HEAP
     119    /// for each item.
    123120    void clear() {
    124121      _data.clear();
     
    172169
    173170  public:
     171
    174172    /// \brief Insert a pair of item and priority into the heap.
    175173    ///
    176     /// Adds \c p.first to the heap with priority \c p.second.
     174    /// This function inserts \c p.first to the heap with priority
     175    /// \c p.second.
    177176    /// \param p The pair to insert.
     177    /// \pre \c p.first must not be stored in the heap.
    178178    void push(const Pair &p) {
    179179      int n = _data.size();
     
    182182    }
    183183
    184     /// \brief Insert an item into the heap with the given heap.
    185     ///
    186     /// Adds \c i to the heap with priority \c p.
     184    /// \brief Insert an item into the heap with the given priority.
     185    ///
     186    /// This function inserts the given item into the heap with the
     187    /// given priority.
    187188    /// \param i The item to insert.
    188189    /// \param p The priority of the item.
     190    /// \pre \e i must not be stored in the heap.
    189191    void push(const Item &i, const Prio &p) { push(Pair(i,p)); }
    190192
    191     /// \brief Returns the item with minimum priority relative to \c Compare.
    192     ///
    193     /// This method returns the item with minimum priority relative to \c
    194     /// Compare.
    195     /// \pre The heap must be nonempty.
     193    /// \brief Return the item having minimum priority.
     194    ///
     195    /// This function returns the item having minimum priority.
     196    /// \pre The heap must be non-empty.
    196197    Item top() const {
    197198      return _data[0].first;
    198199    }
    199200
    200     /// \brief Returns the minimum priority relative to \c Compare.
    201     ///
    202     /// It returns the minimum priority relative to \c Compare.
    203     /// \pre The heap must be nonempty.
     201    /// \brief The minimum priority.
     202    ///
     203    /// This function returns the minimum priority.
     204    /// \pre The heap must be non-empty.
    204205    Prio prio() const {
    205206      return _data[0].second;
    206207    }
    207208
    208     /// \brief Deletes the item with minimum priority relative to \c Compare.
    209     ///
    210     /// This method deletes the item with minimum priority relative to \c
    211     /// Compare from the heap.
     209    /// \brief Remove the item having minimum priority.
     210    ///
     211    /// This function removes the item having minimum priority.
    212212    /// \pre The heap must be non-empty.
    213213    void pop() {
     
    220220    }
    221221
    222     /// \brief Deletes \c i from the heap.
    223     ///
    224     /// This method deletes item \c i from the heap.
    225     /// \param i The item to erase.
    226     /// \pre The item should be in the heap.
     222    /// \brief Remove the given item from the heap.
     223    ///
     224    /// This function removes the given item from the heap if it is
     225    /// already stored.
     226    /// \param i The item to delete.
     227    /// \pre \e i must be in the heap.
    227228    void erase(const Item &i) {
    228229      int h = _iim[i];
     
    237238    }
    238239
    239 
    240     /// \brief Returns the priority of \c i.
    241     ///
    242     /// This function returns the priority of item \c i.
    243     /// \param i The item.
    244     /// \pre \c i must be in the heap.
     240    /// \brief The priority of the given item.
     241    ///
     242    /// This function returns the priority of the given item.
     243    /// \param i The item.
     244    /// \pre \e i must be in the heap.
    245245    Prio operator[](const Item &i) const {
    246246      int idx = _iim[i];
     
    248248    }
    249249
    250     /// \brief \c i gets to the heap with priority \c p independently
    251     /// if \c i was already there.
    252     ///
    253     /// This method calls \ref push(\c i, \c p) if \c i is not stored
    254     /// in the heap and sets the priority of \c i to \c p otherwise.
     250    /// \brief Set the priority of an item or insert it, if it is
     251    /// not stored in the heap.
     252    ///
     253    /// This method sets the priority of the given item if it is
     254    /// already stored in the heap. Otherwise it inserts the given
     255    /// item into the heap with the given priority.
    255256    /// \param i The item.
    256257    /// \param p The priority.
     
    268269    }
    269270
    270     /// \brief Decreases the priority of \c i to \c p.
    271     ///
    272     /// This method decreases the priority of item \c i to \c p.
     271    /// \brief Decrease the priority of an item to the given value.
     272    ///
     273    /// This function decreases the priority of an item to the given value.
    273274    /// \param i The item.
    274275    /// \param p The priority.
    275     /// \pre \c i must be stored in the heap with priority at least \c
    276     /// p relative to \c Compare.
     276    /// \pre \e i must be stored in the heap with priority at least \e p.
    277277    void decrease(const Item &i, const Prio &p) {
    278278      int idx = _iim[i];
     
    280280    }
    281281
    282     /// \brief Increases the priority of \c i to \c p.
    283     ///
    284     /// This method sets the priority of item \c i to \c p.
     282    /// \brief Increase the priority of an item to the given value.
     283    ///
     284    /// This function increases the priority of an item to the given value.
    285285    /// \param i The item.
    286286    /// \param p The priority.
    287     /// \pre \c i must be stored in the heap with priority at most \c
    288     /// p relative to \c Compare.
     287    /// \pre \e i must be stored in the heap with priority at most \e p.
    289288    void increase(const Item &i, const Prio &p) {
    290289      int idx = _iim[i];
     
    292291    }
    293292
    294     /// \brief Returns if \c item is in, has already been in, or has
    295     /// never been in the heap.
    296     ///
    297     /// This method returns PRE_HEAP if \c item has never been in the
    298     /// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP
    299     /// otherwise. In the latter case it is possible that \c item will
    300     /// get back to the heap again.
     293    /// \brief Return the state of an item.
     294    ///
     295    /// This method returns \c PRE_HEAP if the given item has never
     296    /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
     297    /// and \c POST_HEAP otherwise.
     298    /// In the latter case it is possible that the item will get back
     299    /// to the heap again.
    301300    /// \param i The item.
    302301    State state(const Item &i) const {
     
    307306    }
    308307
    309     /// \brief Sets the state of the \c item in the heap.
    310     ///
    311     /// Sets the state of the \c item in the heap. It can be used to
    312     /// manually clear the heap when it is important to achive the
    313     /// better time complexity.
     308    /// \brief Set the state of an item in the heap.
     309    ///
     310    /// This function sets the state of the given item in the heap.
     311    /// It can be used to manually clear the heap when it is important
     312    /// to achive better time complexity.
    314313    /// \param i The item.
    315314    /// \param st The state. It should not be \c IN_HEAP.
     
    328327    }
    329328
    330     /// \brief Replaces an item in the heap.
    331     ///
    332     /// The \c i item is replaced with \c j item. The \c i item should
    333     /// be in the heap, while the \c j should be out of the heap. The
    334     /// \c i item will out of the heap and \c j will be in the heap
    335     /// with the same prioriority as prevoiusly the \c i item.
     329    /// \brief Replace an item in the heap.
     330    ///
     331    /// This function replaces item \c i with item \c j.
     332    /// Item \c i must be in the heap, while \c j must be out of the heap.
     333    /// After calling this method, item \c i will be out of the
     334    /// heap and \c j will be in the heap with the same prioriority
     335    /// as item \c i had before.
    336336    void replace(const Item& i, const Item& j) {
    337337      int idx = _iim[i];
  • lemon/bucket_heap.h

    r730 r756  
    2222///\ingroup auxdat
    2323///\file
    24 ///\brief Bucket Heap implementation.
     24///\brief Bucket heap implementation.
    2525
    2626#include <vector>
     
    5656  /// \ingroup auxdat
    5757  ///
    58   /// \brief A Bucket Heap implementation.
    59   ///
    60   /// This class implements the \e bucket \e heap data structure. A \e heap
    61   /// is a data structure for storing items with specified values called \e
    62   /// priorities in such a way that finding the item with minimum priority is
    63   /// efficient. The bucket heap is very simple implementation, it can store
    64   /// only integer priorities and it stores for each priority in the
    65   /// \f$ [0..C) \f$ range a list of items. So it should be used only when
    66   /// the priorities are small. It is not intended to use as dijkstra heap.
    67   ///
    68   /// \param IM A read and write Item int map, used internally
    69   /// to handle the cross references.
    70   /// \param MIN If the given parameter is false then instead of the
    71   /// minimum value the maximum can be retrivied with the top() and
    72   /// prio() member functions.
     58  /// \brief Bucket heap data structure.
     59  ///
     60  /// This class implements the \e bucket \e heap data structure.
     61  /// It practically conforms to the \ref concepts::Heap "heap concept",
     62  /// but it has some limitations.
     63  ///
     64  /// The bucket heap is a very simple structure. It can store only
     65  /// \c int priorities and it maintains a list of items for each priority
     66  /// in the range <tt>[0..C)</tt>. So it should only be used when the
     67  /// priorities are small. It is not intended to use as a Dijkstra heap.
     68  ///
     69  /// \tparam IM A read-writable item map with \c int values, used
     70  /// internally to handle the cross references.
     71  /// \tparam MIN Indicate if the heap is a \e min-heap or a \e max-heap.
     72  /// The default is \e min-heap. If this parameter is set to \c false,
     73  /// then the comparison is reversed, so the top(), prio() and pop()
     74  /// functions deal with the item having maximum priority instead of the
     75  /// minimum.
     76  ///
     77  /// \sa SimpleBucketHeap
    7378  template <typename IM, bool MIN = true>
    7479  class BucketHeap {
    7580
    7681  public:
    77     /// \e
    78     typedef typename IM::Key Item;
    79     /// \e
     82
     83    /// Type of the item-int map.
     84    typedef IM ItemIntMap;
     85    /// Type of the priorities.
    8086    typedef int Prio;
    81     /// \e
    82     typedef std::pair<Item, Prio> Pair;
    83     /// \e
    84     typedef IM ItemIntMap;
     87    /// Type of the items stored in the heap.
     88    typedef typename ItemIntMap::Key Item;
     89    /// Type of the item-priority pairs.
     90    typedef std::pair<Item,Prio> Pair;
    8591
    8692  private:
     
    9096  public:
    9197
    92     /// \brief Type to represent the items states.
    93     ///
    94     /// Each Item element have a state associated to it. It may be "in heap",
    95     /// "pre heap" or "post heap". The latter two are indifferent from the
     98    /// \brief Type to represent the states of the items.
     99    ///
     100    /// Each item has a state associated to it. It can be "in heap",
     101    /// "pre-heap" or "post-heap". The latter two are indifferent from the
    96102    /// heap's point of view, but may be useful to the user.
    97103    ///
     
    105111
    106112  public:
    107     /// \brief The constructor.
    108     ///
    109     /// The constructor.
    110     /// \param map should be given to the constructor, since it is used
    111     /// internally to handle the cross references. The value of the map
    112     /// should be PRE_HEAP (-1) for each element.
     113
     114    /// \brief Constructor.
     115    ///
     116    /// Constructor.
     117    /// \param map A map that assigns \c int values to the items.
     118    /// It is used internally to handle the cross references.
     119    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
    113120    explicit BucketHeap(ItemIntMap &map) : _iim(map), _minimum(0) {}
    114121
    115     /// The number of items stored in the heap.
    116     ///
    117     /// \brief Returns the number of items stored in the heap.
     122    /// \brief The number of items stored in the heap.
     123    ///
     124    /// This function returns the number of items stored in the heap.
    118125    int size() const { return _data.size(); }
    119126
    120     /// \brief Checks if the heap stores no items.
    121     ///
    122     /// Returns \c true if and only if the heap stores no items.
     127    /// \brief Check if the heap is empty.
     128    ///
     129    /// This function returns \c true if the heap is empty.
    123130    bool empty() const { return _data.empty(); }
    124131
    125     /// \brief Make empty this heap.
    126     ///
    127     /// Make empty this heap. It does not change the cross reference
    128     /// map.  If you want to reuse a heap what is not surely empty you
    129     /// should first clear the heap and after that you should set the
    130     /// cross reference map for each item to \c PRE_HEAP.
     132    /// \brief Make the heap empty.
     133    ///
     134    /// This functon makes the heap empty.
     135    /// It does not change the cross reference map. If you want to reuse
     136    /// a heap that is not surely empty, you should first clear it and
     137    /// then you should set the cross reference map to \c PRE_HEAP
     138    /// for each item.
    131139    void clear() {
    132140      _data.clear(); _first.clear(); _minimum = 0;
     
    175183
    176184  public:
     185
    177186    /// \brief Insert a pair of item and priority into the heap.
    178187    ///
    179     /// Adds \c p.first to the heap with priority \c p.second.
     188    /// This function inserts \c p.first to the heap with priority
     189    /// \c p.second.
    180190    /// \param p The pair to insert.
     191    /// \pre \c p.first must not be stored in the heap.
    181192    void push(const Pair& p) {
    182193      push(p.first, p.second);
     
    185196    /// \brief Insert an item into the heap with the given priority.
    186197    ///
    187     /// Adds \c i to the heap with priority \c p.
     198    /// This function inserts the given item into the heap with the
     199    /// given priority.
    188200    /// \param i The item to insert.
    189201    /// \param p The priority of the item.
     202    /// \pre \e i must not be stored in the heap.
    190203    void push(const Item &i, const Prio &p) {
    191204      int idx = _data.size();
     
    198211    }
    199212
    200     /// \brief Returns the item with minimum priority.
    201     ///
    202     /// This method returns the item with minimum priority.
    203     /// \pre The heap must be nonempty.
     213    /// \brief Return the item having minimum priority.
     214    ///
     215    /// This function returns the item having minimum priority.
     216    /// \pre The heap must be non-empty.
    204217    Item top() const {
    205218      while (_first[_minimum] == -1) {
     
    209222    }
    210223
    211     /// \brief Returns the minimum priority.
    212     ///
    213     /// It returns the minimum priority.
    214     /// \pre The heap must be nonempty.
     224    /// \brief The minimum priority.
     225    ///
     226    /// This function returns the minimum priority.
     227    /// \pre The heap must be non-empty.
    215228    Prio prio() const {
    216229      while (_first[_minimum] == -1) {
     
    220233    }
    221234
    222     /// \brief Deletes the item with minimum priority.
    223     ///
    224     /// This method deletes the item with minimum priority from the heap.
     235    /// \brief Remove the item having minimum priority.
     236    ///
     237    /// This function removes the item having minimum priority.
    225238    /// \pre The heap must be non-empty.
    226239    void pop() {
     
    234247    }
    235248
    236     /// \brief Deletes \c i from the heap.
    237     ///
    238     /// This method deletes item \c i from the heap, if \c i was
    239     /// already stored in the heap.
    240     /// \param i The item to erase.
     249    /// \brief Remove the given item from the heap.
     250    ///
     251    /// This function removes the given item from the heap if it is
     252    /// already stored.
     253    /// \param i The item to delete.
     254    /// \pre \e i must be in the heap.
    241255    void erase(const Item &i) {
    242256      int idx = _iim[i];
     
    246260    }
    247261
    248 
    249     /// \brief Returns the priority of \c i.
    250     ///
    251     /// This function returns the priority of item \c i.
    252     /// \pre \c i must be in the heap.
    253     /// \param i The item.
     262    /// \brief The priority of the given item.
     263    ///
     264    /// This function returns the priority of the given item.
     265    /// \param i The item.
     266    /// \pre \e i must be in the heap.
    254267    Prio operator[](const Item &i) const {
    255268      int idx = _iim[i];
     
    257270    }
    258271
    259     /// \brief \c i gets to the heap with priority \c p independently
    260     /// if \c i was already there.
    261     ///
    262     /// This method calls \ref push(\c i, \c p) if \c i is not stored
    263     /// in the heap and sets the priority of \c i to \c p otherwise.
     272    /// \brief Set the priority of an item or insert it, if it is
     273    /// not stored in the heap.
     274    ///
     275    /// This method sets the priority of the given item if it is
     276    /// already stored in the heap. Otherwise it inserts the given
     277    /// item into the heap with the given priority.
    264278    /// \param i The item.
    265279    /// \param p The priority.
     
    275289    }
    276290
    277     /// \brief Decreases the priority of \c i to \c p.
    278     ///
    279     /// This method decreases the priority of item \c i to \c p.
    280     /// \pre \c i must be stored in the heap with priority at least \c
    281     /// p relative to \c Compare.
     291    /// \brief Decrease the priority of an item to the given value.
     292    ///
     293    /// This function decreases the priority of an item to the given value.
    282294    /// \param i The item.
    283295    /// \param p The priority.
     296    /// \pre \e i must be stored in the heap with priority at least \e p.
    284297    void decrease(const Item &i, const Prio &p) {
    285298      int idx = _iim[i];
     
    292305    }
    293306
    294     /// \brief Increases the priority of \c i to \c p.
    295     ///
    296     /// This method sets the priority of item \c i to \c p.
    297     /// \pre \c i must be stored in the heap with priority at most \c
    298     /// p relative to \c Compare.
     307    /// \brief Increase the priority of an item to the given value.
     308    ///
     309    /// This function increases the priority of an item to the given value.
    299310    /// \param i The item.
    300311    /// \param p The priority.
     312    /// \pre \e i must be stored in the heap with priority at most \e p.
    301313    void increase(const Item &i, const Prio &p) {
    302314      int idx = _iim[i];
     
    306318    }
    307319
    308     /// \brief Returns if \c item is in, has already been in, or has
    309     /// never been in the heap.
    310     ///
    311     /// This method returns PRE_HEAP if \c item has never been in the
    312     /// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP
    313     /// otherwise. In the latter case it is possible that \c item will
    314     /// get back to the heap again.
     320    /// \brief Return the state of an item.
     321    ///
     322    /// This method returns \c PRE_HEAP if the given item has never
     323    /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
     324    /// and \c POST_HEAP otherwise.
     325    /// In the latter case it is possible that the item will get back
     326    /// to the heap again.
    315327    /// \param i The item.
    316328    State state(const Item &i) const {
     
    320332    }
    321333
    322     /// \brief Sets the state of the \c item in the heap.
    323     ///
    324     /// Sets the state of the \c item in the heap. It can be used to
    325     /// manually clear the heap when it is important to achive the
    326     /// better time complexity.
     334    /// \brief Set the state of an item in the heap.
     335    ///
     336    /// This function sets the state of the given item in the heap.
     337    /// It can be used to manually clear the heap when it is important
     338    /// to achive better time complexity.
    327339    /// \param i The item.
    328340    /// \param st The state. It should not be \c IN_HEAP.
     
    362374  /// \ingroup auxdat
    363375  ///
    364   /// \brief A Simplified Bucket Heap implementation.
     376  /// \brief Simplified bucket heap data structure.
    365377  ///
    366378  /// This class implements a simplified \e bucket \e heap data
    367   /// structure.  It does not provide some functionality but it faster
    368   /// and simplier data structure than the BucketHeap. The main
    369   /// difference is that the BucketHeap stores for every key a double
    370   /// linked list while this class stores just simple lists. In the
    371   /// other way it does not support erasing each elements just the
    372   /// minimal and it does not supports key increasing, decreasing.
    373   ///
    374   /// \param IM A read and write Item int map, used internally
    375   /// to handle the cross references.
    376   /// \param MIN If the given parameter is false then instead of the
    377   /// minimum value the maximum can be retrivied with the top() and
    378   /// prio() member functions.
     379  /// structure. It does not provide some functionality, but it is
     380  /// faster and simpler than BucketHeap. The main difference is
     381  /// that BucketHeap stores a doubly-linked list for each key while
     382  /// this class stores only simply-linked lists. It supports erasing
     383  /// only for the item having minimum priority and it does not support
     384  /// key increasing and decreasing.
     385  ///
     386  /// Note that this implementation does not conform to the
     387  /// \ref concepts::Heap "heap concept" due to the lack of some
     388  /// functionality.
     389  ///
     390  /// \tparam IM A read-writable item map with \c int values, used
     391  /// internally to handle the cross references.
     392  /// \tparam MIN Indicate if the heap is a \e min-heap or a \e max-heap.
     393  /// The default is \e min-heap. If this parameter is set to \c false,
     394  /// then the comparison is reversed, so the top(), prio() and pop()
     395  /// functions deal with the item having maximum priority instead of the
     396  /// minimum.
    379397  ///
    380398  /// \sa BucketHeap
     
    383401
    384402  public:
    385     typedef typename IM::Key Item;
     403
     404    /// Type of the item-int map.
     405    typedef IM ItemIntMap;
     406    /// Type of the priorities.
    386407    typedef int Prio;
    387     typedef std::pair<Item, Prio> Pair;
    388     typedef IM ItemIntMap;
     408    /// Type of the items stored in the heap.
     409    typedef typename ItemIntMap::Key Item;
     410    /// Type of the item-priority pairs.
     411    typedef std::pair<Item,Prio> Pair;
    389412
    390413  private:
     
    394417  public:
    395418
    396     /// \brief Type to represent the items states.
    397     ///
    398     /// Each Item element have a state associated to it. It may be "in heap",
    399     /// "pre heap" or "post heap". The latter two are indifferent from the
     419    /// \brief Type to represent the states of the items.
     420    ///
     421    /// Each item has a state associated to it. It can be "in heap",
     422    /// "pre-heap" or "post-heap". The latter two are indifferent from the
    400423    /// heap's point of view, but may be useful to the user.
    401424    ///
     
    410433  public:
    411434
    412     /// \brief The constructor.
    413     ///
    414     /// The constructor.
    415     /// \param map should be given to the constructor, since it is used
    416     /// internally to handle the cross references. The value of the map
    417     /// should be PRE_HEAP (-1) for each element.
     435    /// \brief Constructor.
     436    ///
     437    /// Constructor.
     438    /// \param map A map that assigns \c int values to the items.
     439    /// It is used internally to handle the cross references.
     440    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
    418441    explicit SimpleBucketHeap(ItemIntMap &map)
    419442      : _iim(map), _free(-1), _num(0), _minimum(0) {}
    420443
    421     /// \brief Returns the number of items stored in the heap.
    422     ///
    423     /// The number of items stored in the heap.
     444    /// \brief The number of items stored in the heap.
     445    ///
     446    /// This function returns the number of items stored in the heap.
    424447    int size() const { return _num; }
    425448
    426     /// \brief Checks if the heap stores no items.
    427     ///
    428     /// Returns \c true if and only if the heap stores no items.
     449    /// \brief Check if the heap is empty.
     450    ///
     451    /// This function returns \c true if the heap is empty.
    429452    bool empty() const { return _num == 0; }
    430453
    431     /// \brief Make empty this heap.
    432     ///
    433     /// Make empty this heap. It does not change the cross reference
    434     /// map.  If you want to reuse a heap what is not surely empty you
    435     /// should first clear the heap and after that you should set the
    436     /// cross reference map for each item to \c PRE_HEAP.
     454    /// \brief Make the heap empty.
     455    ///
     456    /// This functon makes the heap empty.
     457    /// It does not change the cross reference map. If you want to reuse
     458    /// a heap that is not surely empty, you should first clear it and
     459    /// then you should set the cross reference map to \c PRE_HEAP
     460    /// for each item.
    437461    void clear() {
    438462      _data.clear(); _first.clear(); _free = -1; _num = 0; _minimum = 0;
     
    441465    /// \brief Insert a pair of item and priority into the heap.
    442466    ///
    443     /// Adds \c p.first to the heap with priority \c p.second.
     467    /// This function inserts \c p.first to the heap with priority
     468    /// \c p.second.
    444469    /// \param p The pair to insert.
     470    /// \pre \c p.first must not be stored in the heap.
    445471    void push(const Pair& p) {
    446472      push(p.first, p.second);
     
    449475    /// \brief Insert an item into the heap with the given priority.
    450476    ///
    451     /// Adds \c i to the heap with priority \c p.
     477    /// This function inserts the given item into the heap with the
     478    /// given priority.
    452479    /// \param i The item to insert.
    453480    /// \param p The priority of the item.
     481    /// \pre \e i must not be stored in the heap.
    454482    void push(const Item &i, const Prio &p) {
    455483      int idx;
     
    472500    }
    473501
    474     /// \brief Returns the item with minimum priority.
    475     ///
    476     /// This method returns the item with minimum priority.
    477     /// \pre The heap must be nonempty.
     502    /// \brief Return the item having minimum priority.
     503    ///
     504    /// This function returns the item having minimum priority.
     505    /// \pre The heap must be non-empty.
    478506    Item top() const {
    479507      while (_first[_minimum] == -1) {
     
    483511    }
    484512
    485     /// \brief Returns the minimum priority.
    486     ///
    487     /// It returns the minimum priority.
    488     /// \pre The heap must be nonempty.
     513    /// \brief The minimum priority.
     514    ///
     515    /// This function returns the minimum priority.
     516    /// \pre The heap must be non-empty.
    489517    Prio prio() const {
    490518      while (_first[_minimum] == -1) {
     
    494522    }
    495523
    496     /// \brief Deletes the item with minimum priority.
    497     ///
    498     /// This method deletes the item with minimum priority from the heap.
     524    /// \brief Remove the item having minimum priority.
     525    ///
     526    /// This function removes the item having minimum priority.
    499527    /// \pre The heap must be non-empty.
    500528    void pop() {
     
    510538    }
    511539
    512     /// \brief Returns the priority of \c i.
    513     ///
    514     /// This function returns the priority of item \c i.
    515     /// \warning This operator is not a constant time function
    516     /// because it scans the whole data structure to find the proper
    517     /// value.
    518     /// \pre \c i must be in the heap.
    519     /// \param i The item.
     540    /// \brief The priority of the given item.
     541    ///
     542    /// This function returns the priority of the given item.
     543    /// \param i The item.
     544    /// \pre \e i must be in the heap.
     545    /// \warning This operator is not a constant time function because
     546    /// it scans the whole data structure to find the proper value.
    520547    Prio operator[](const Item &i) const {
    521       for (int k = 0; k < _first.size(); ++k) {
     548      for (int k = 0; k < int(_first.size()); ++k) {
    522549        int idx = _first[k];
    523550        while (idx != -1) {
     
    531558    }
    532559
    533     /// \brief Returns if \c item is in, has already been in, or has
    534     /// never been in the heap.
    535     ///
    536     /// This method returns PRE_HEAP if \c item has never been in the
    537     /// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP
    538     /// otherwise. In the latter case it is possible that \c item will
    539     /// get back to the heap again.
     560    /// \brief Return the state of an item.
     561    ///
     562    /// This method returns \c PRE_HEAP if the given item has never
     563    /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
     564    /// and \c POST_HEAP otherwise.
     565    /// In the latter case it is possible that the item will get back
     566    /// to the heap again.
    540567    /// \param i The item.
    541568    State state(const Item &i) const {
  • lemon/concepts/heap.h

    r631 r756  
    1717 */
    1818
     19#ifndef LEMON_CONCEPTS_HEAP_H
     20#define LEMON_CONCEPTS_HEAP_H
     21
    1922///\ingroup concept
    2023///\file
    2124///\brief The concept of heaps.
    2225
    23 #ifndef LEMON_CONCEPTS_HEAP_H
    24 #define LEMON_CONCEPTS_HEAP_H
    25 
    2626#include <lemon/core.h>
    2727#include <lemon/concept_check.h>
     
    3636    /// \brief The heap concept.
    3737    ///
    38     /// Concept class describing the main interface of heaps. A \e heap
    39     /// is a data structure for storing items with specified values called
    40     /// \e priorities in such a way that finding the item with minimum
    41     /// priority is efficient. In a heap one can change the priority of an
    42     /// item, add or erase an item, etc.
     38    /// This concept class describes the main interface of heaps.
     39    /// The various heap structures are efficient
     40    /// implementations of the abstract data type \e priority \e queue.
     41    /// They store items with specified values called \e priorities
     42    /// in such a way that finding and removing the item with minimum
     43    /// priority are efficient. The basic operations are adding and
     44    /// erasing items, changing the priority of an item, etc.
    4345    ///
    44     /// \tparam PR Type of the priority of the items.
    45     /// \tparam IM A read and writable item map with int values, used
     46    /// Heaps are crucial in several algorithms, such as Dijkstra and Prim.
     47    /// Any class that conforms to this concept can be used easily in such
     48    /// algorithms.
     49    ///
     50    /// \tparam PR Type of the priorities of the items.
     51    /// \tparam IM A read-writable item map with \c int values, used
    4652    /// internally to handle the cross references.
    47     /// \tparam Comp A functor class for the ordering of the priorities.
     53    /// \tparam CMP A functor class for comparing the priorities.
    4854    /// The default is \c std::less<PR>.
    4955#ifdef DOXYGEN
    50     template <typename PR, typename IM, typename Comp = std::less<PR> >
     56    template <typename PR, typename IM, typename CMP>
    5157#else
    52     template <typename PR, typename IM>
     58    template <typename PR, typename IM, typename CMP = std::less<PR> >
    5359#endif
    5460    class Heap {
     
    6571      ///
    6672      /// Each item has a state associated to it. It can be "in heap",
    67       /// "pre heap" or "post heap". The later two are indifferent
    68       /// from the point of view of the heap, but may be useful for
    69       /// the user.
     73      /// "pre-heap" or "post-heap". The latter two are indifferent from the
     74      /// heap's point of view, but may be useful to the user.
    7075      ///
    7176      /// The item-int map must be initialized in such way that it assigns
     
    7378      enum State {
    7479        IN_HEAP = 0,    ///< = 0. The "in heap" state constant.
    75         PRE_HEAP = -1,  ///< = -1. The "pre heap" state constant.
    76         POST_HEAP = -2  ///< = -2. The "post heap" state constant.
     80        PRE_HEAP = -1,  ///< = -1. The "pre-heap" state constant.
     81        POST_HEAP = -2  ///< = -2. The "post-heap" state constant.
    7782      };
    7883
    79       /// \brief The constructor.
    80       ///
    81       /// The constructor.
     84      /// \brief Constructor.
     85      ///
     86      /// Constructor.
    8287      /// \param map A map that assigns \c int values to keys of type
    8388      /// \c Item. It is used internally by the heap implementations to
    8489      /// handle the cross references. The assigned value must be
    85       /// \c PRE_HEAP (<tt>-1</tt>) for every item.
     90      /// \c PRE_HEAP (<tt>-1</tt>) for each item.
    8691      explicit Heap(ItemIntMap &map) {}
    8792
     93      /// \brief Constructor.
     94      ///
     95      /// Constructor.
     96      /// \param map A map that assigns \c int values to keys of type
     97      /// \c Item. It is used internally by the heap implementations to
     98      /// handle the cross references. The assigned value must be
     99      /// \c PRE_HEAP (<tt>-1</tt>) for each item.
     100      /// \param comp The function object used for comparing the priorities.
     101      explicit Heap(ItemIntMap &map, const CMP &comp) {}
     102
    88103      /// \brief The number of items stored in the heap.
    89104      ///
    90       /// Returns the number of items stored in the heap.
     105      /// This function returns the number of items stored in the heap.
    91106      int size() const { return 0; }
    92107
    93       /// \brief Checks if the heap is empty.
    94       ///
    95       /// Returns \c true if the heap is empty.
     108      /// \brief Check if the heap is empty.
     109      ///
     110      /// This function returns \c true if the heap is empty.
    96111      bool empty() const { return false; }
    97112
    98       /// \brief Makes the heap empty.
    99       ///
    100       /// Makes the heap empty.
    101       void clear();
    102 
    103       /// \brief Inserts an item into the heap with the given priority.
    104       ///
    105       /// Inserts the given item into the heap with the given priority.
     113      /// \brief Make the heap empty.
     114      ///
     115      /// This functon makes the heap empty.
     116      /// It does not change the cross reference map. If you want to reuse
     117      /// a heap that is not surely empty, you should first clear it and
     118      /// then you should set the cross reference map to \c PRE_HEAP
     119      /// for each item.
     120      void clear() {}
     121
     122      /// \brief Insert an item into the heap with the given priority.
     123      ///
     124      /// This function inserts the given item into the heap with the
     125      /// given priority.
    106126      /// \param i The item to insert.
    107127      /// \param p The priority of the item.
     128      /// \pre \e i must not be stored in the heap.
    108129      void push(const Item &i, const Prio &p) {}
    109130
    110       /// \brief Returns the item having minimum priority.
    111       ///
    112       /// Returns the item having minimum priority.
     131      /// \brief Return the item having minimum priority.
     132      ///
     133      /// This function returns the item having minimum priority.
    113134      /// \pre The heap must be non-empty.
    114135      Item top() const {}
     
    116137      /// \brief The minimum priority.
    117138      ///
    118       /// Returns the minimum priority.
     139      /// This function returns the minimum priority.
    119140      /// \pre The heap must be non-empty.
    120141      Prio prio() const {}
    121142
    122       /// \brief Removes the item having minimum priority.
    123       ///
    124       /// Removes the item having minimum priority.
     143      /// \brief Remove the item having minimum priority.
     144      ///
     145      /// This function removes the item having minimum priority.
    125146      /// \pre The heap must be non-empty.
    126147      void pop() {}
    127148
    128       /// \brief Removes an item from the heap.
    129       ///
    130       /// Removes the given item from the heap if it is already stored.
     149      /// \brief Remove the given item from the heap.
     150      ///
     151      /// This function removes the given item from the heap if it is
     152      /// already stored.
    131153      /// \param i The item to delete.
     154      /// \pre \e i must be in the heap.
    132155      void erase(const Item &i) {}
    133156
    134       /// \brief The priority of an item.
    135       ///
    136       /// Returns the priority of the given item.
    137       /// \param i The item.
    138       /// \pre \c i must be in the heap.
     157      /// \brief The priority of the given item.
     158      ///
     159      /// This function returns the priority of the given item.
     160      /// \param i The item.
     161      /// \pre \e i must be in the heap.
    139162      Prio operator[](const Item &i) const {}
    140163
    141       /// \brief Sets the priority of an item or inserts it, if it is
     164      /// \brief Set the priority of an item or insert it, if it is
    142165      /// not stored in the heap.
    143166      ///
    144167      /// This method sets the priority of the given item if it is
    145       /// already stored in the heap.
    146       /// Otherwise it inserts the given item with the given priority.
     168      /// already stored in the heap. Otherwise it inserts the given
     169      /// item into the heap with the given priority.
    147170      ///
    148171      /// \param i The item.
     
    150173      void set(const Item &i, const Prio &p) {}
    151174
    152       /// \brief Decreases the priority of an item to the given value.
    153       ///
    154       /// Decreases the priority of an item to the given value.
     175      /// \brief Decrease the priority of an item to the given value.
     176      ///
     177      /// This function decreases the priority of an item to the given value.
    155178      /// \param i The item.
    156179      /// \param p The priority.
    157       /// \pre \c i must be stored in the heap with priority at least \c p.
     180      /// \pre \e i must be stored in the heap with priority at least \e p.
    158181      void decrease(const Item &i, const Prio &p) {}
    159182
    160       /// \brief Increases the priority of an item to the given value.
    161       ///
    162       /// Increases the priority of an item to the given value.
     183      /// \brief Increase the priority of an item to the given value.
     184      ///
     185      /// This function increases the priority of an item to the given value.
    163186      /// \param i The item.
    164187      /// \param p The priority.
    165       /// \pre \c i must be stored in the heap with priority at most \c p.
     188      /// \pre \e i must be stored in the heap with priority at most \e p.
    166189      void increase(const Item &i, const Prio &p) {}
    167190
    168       /// \brief Returns if an item is in, has already been in, or has
    169       /// never been in the heap.
     191      /// \brief Return the state of an item.
    170192      ///
    171193      /// This method returns \c PRE_HEAP if the given item has never
     
    177199      State state(const Item &i) const {}
    178200
    179       /// \brief Sets the state of an item in the heap.
    180       ///
    181       /// Sets the state of the given item in the heap. It can be used
    182       /// to manually clear the heap when it is important to achive the
    183       /// better time complexity.
     201      /// \brief Set the state of an item in the heap.
     202      ///
     203      /// This function sets the state of the given item in the heap.
     204      /// It can be used to manually clear the heap when it is important
     205      /// to achive better time complexity.
    184206      /// \param i The item.
    185207      /// \param st The state. It should not be \c IN_HEAP.
  • lemon/fib_heap.h

    r730 r756  
    2222///\file
    2323///\ingroup auxdat
    24 ///\brief Fibonacci Heap implementation.
     24///\brief Fibonacci heap implementation.
    2525
    2626#include <vector>
     27#include <utility>
    2728#include <functional>
    2829#include <lemon/math.h>
     
    3233  /// \ingroup auxdat
    3334  ///
    34   ///\brief Fibonacci Heap.
     35  /// \brief Fibonacci heap data structure.
    3536  ///
    36   ///This class implements the \e Fibonacci \e heap data structure. A \e heap
    37   ///is a data structure for storing items with specified values called \e
    38   ///priorities in such a way that finding the item with minimum priority is
    39   ///efficient. \c CMP specifies the ordering of the priorities. In a heap
    40   ///one can change the priority of an item, add or erase an item, etc.
     37  /// This class implements the \e Fibonacci \e heap data structure.
     38  /// It fully conforms to the \ref concepts::Heap "heap concept".
    4139  ///
    42   ///The methods \ref increase and \ref erase are not efficient in a Fibonacci
    43   ///heap. In case of many calls to these operations, it is better to use a
    44   ///\ref BinHeap "binary heap".
     40  /// The methods \ref increase() and \ref erase() are not efficient in a
     41  /// Fibonacci heap. In case of many calls of these operations, it is
     42  /// better to use other heap structure, e.g. \ref BinHeap "binary heap".
    4543  ///
    46   ///\param PRIO Type of the priority of the items.
    47   ///\param IM A read and writable Item int map, used internally
    48   ///to handle the cross references.
    49   ///\param CMP A class for the ordering of the priorities. The
    50   ///default is \c std::less<PRIO>.
    51   ///
    52   ///\sa BinHeap
    53   ///\sa Dijkstra
     44  /// \tparam PR Type of the priorities of the items.
     45  /// \tparam IM A read-writable item map with \c int values, used
     46  /// internally to handle the cross references.
     47  /// \tparam CMP A functor class for comparing the priorities.
     48  /// The default is \c std::less<PR>.
    5449#ifdef DOXYGEN
    55   template <typename PRIO, typename IM, typename CMP>
     50  template <typename PR, typename IM, typename CMP>
    5651#else
    57   template <typename PRIO, typename IM, typename CMP = std::less<PRIO> >
     52  template <typename PR, typename IM, typename CMP = std::less<PR> >
    5853#endif
    5954  class FibHeap {
    6055  public:
    61     ///\e
     56
     57    /// Type of the item-int map.
    6258    typedef IM ItemIntMap;
    63     ///\e
    64     typedef PRIO Prio;
    65     ///\e
     59    /// Type of the priorities.
     60    typedef PR Prio;
     61    /// Type of the items stored in the heap.
    6662    typedef typename ItemIntMap::Key Item;
    67     ///\e
     63    /// Type of the item-priority pairs.
    6864    typedef std::pair<Item,Prio> Pair;
    69     ///\e
     65    /// Functor type for comparing the priorities.
    7066    typedef CMP Compare;
    7167
     
    8177  public:
    8278
    83     /// \brief Type to represent the items states.
    84     ///
    85     /// Each Item element have a state associated to it. It may be "in heap",
    86     /// "pre heap" or "post heap". The latter two are indifferent from the
     79    /// \brief Type to represent the states of the items.
     80    ///
     81    /// Each item has a state associated to it. It can be "in heap",
     82    /// "pre-heap" or "post-heap". The latter two are indifferent from the
    8783    /// heap's point of view, but may be useful to the user.
    8884    ///
     
    9591    };
    9692
    97     /// \brief The constructor
    98     ///
    99     /// \c map should be given to the constructor, since it is
    100     ///   used internally to handle the cross references.
     93    /// \brief Constructor.
     94    ///
     95    /// Constructor.
     96    /// \param map A map that assigns \c int values to the items.
     97    /// It is used internally to handle the cross references.
     98    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
    10199    explicit FibHeap(ItemIntMap &map)
    102100      : _minimum(0), _iim(map), _num() {}
    103101
    104     /// \brief The constructor
    105     ///
    106     /// \c map should be given to the constructor, since it is used
    107     /// internally to handle the cross references. \c comp is an
    108     /// object for ordering of the priorities.
     102    /// \brief Constructor.
     103    ///
     104    /// Constructor.
     105    /// \param map A map that assigns \c int values to the items.
     106    /// It is used internally to handle the cross references.
     107    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
     108    /// \param comp The function object used for comparing the priorities.
    109109    FibHeap(ItemIntMap &map, const Compare &comp)
    110110      : _minimum(0), _iim(map), _comp(comp), _num() {}
     
    112112    /// \brief The number of items stored in the heap.
    113113    ///
    114     /// Returns the number of items stored in the heap.
     114    /// This function returns the number of items stored in the heap.
    115115    int size() const { return _num; }
    116116
    117     /// \brief Checks if the heap stores no items.
    118     ///
    119     ///   Returns \c true if and only if the heap stores no items.
     117    /// \brief Check if the heap is empty.
     118    ///
     119    /// This function returns \c true if the heap is empty.
    120120    bool empty() const { return _num==0; }
    121121
    122     /// \brief Make empty this heap.
    123     ///
    124     /// Make empty this heap. It does not change the cross reference
    125     /// map.  If you want to reuse a heap what is not surely empty you
    126     /// should first clear the heap and after that you should set the
    127     /// cross reference map for each item to \c PRE_HEAP.
     122    /// \brief Make the heap empty.
     123    ///
     124    /// This functon makes the heap empty.
     125    /// It does not change the cross reference map. If you want to reuse
     126    /// a heap that is not surely empty, you should first clear it and
     127    /// then you should set the cross reference map to \c PRE_HEAP
     128    /// for each item.
    128129    void clear() {
    129130      _data.clear(); _minimum = 0; _num = 0;
    130131    }
    131132
    132     /// \brief \c item gets to the heap with priority \c value independently
    133     /// if \c item was already there.
    134     ///
    135     /// This method calls \ref push(\c item, \c value) if \c item is not
    136     /// stored in the heap and it calls \ref decrease(\c item, \c value) or
    137     /// \ref increase(\c item, \c value) otherwise.
    138     void set (const Item& item, const Prio& value) {
    139       int i=_iim[item];
    140       if ( i >= 0 && _data[i].in ) {
    141         if ( _comp(value, _data[i].prio) ) decrease(item, value);
    142         if ( _comp(_data[i].prio, value) ) increase(item, value);
    143       } else push(item, value);
    144     }
    145 
    146     /// \brief Adds \c item to the heap with priority \c value.
    147     ///
    148     /// Adds \c item to the heap with priority \c value.
    149     /// \pre \c item must not be stored in the heap.
    150     void push (const Item& item, const Prio& value) {
     133    /// \brief Insert an item into the heap with the given priority.
     134    ///
     135    /// This function inserts the given item into the heap with the
     136    /// given priority.
     137    /// \param item The item to insert.
     138    /// \param prio The priority of the item.
     139    /// \pre \e item must not be stored in the heap.
     140    void push (const Item& item, const Prio& prio) {
    151141      int i=_iim[item];
    152142      if ( i < 0 ) {
     
    169159        _data[_minimum].right_neighbor=i;
    170160        _data[i].left_neighbor=_minimum;
    171         if ( _comp( value, _data[_minimum].prio) ) _minimum=i;
     161        if ( _comp( prio, _data[_minimum].prio) ) _minimum=i;
    172162      } else {
    173163        _data[i].right_neighbor=_data[i].left_neighbor=i;
    174164        _minimum=i;
    175165      }
    176       _data[i].prio=value;
     166      _data[i].prio=prio;
    177167      ++_num;
    178168    }
    179169
    180     /// \brief Returns the item with minimum priority relative to \c Compare.
    181     ///
    182     /// This method returns the item with minimum priority relative to \c
    183     /// Compare.
    184     /// \pre The heap must be nonempty.
     170    /// \brief Return the item having minimum priority.
     171    ///
     172    /// This function returns the item having minimum priority.
     173    /// \pre The heap must be non-empty.
    185174    Item top() const { return _data[_minimum].name; }
    186175
    187     /// \brief Returns the minimum priority relative to \c Compare.
    188     ///
    189     /// It returns the minimum priority relative to \c Compare.
    190     /// \pre The heap must be nonempty.
    191     const Prio& prio() const { return _data[_minimum].prio; }
    192 
    193     /// \brief Returns the priority of \c item.
    194     ///
    195     /// It returns the priority of \c item.
    196     /// \pre \c item must be in the heap.
    197     const Prio& operator[](const Item& item) const {
    198       return _data[_iim[item]].prio;
    199     }
    200 
    201     /// \brief Deletes the item with minimum priority relative to \c Compare.
    202     ///
    203     /// This method deletes the item with minimum priority relative to \c
    204     /// Compare from the heap.
     176    /// \brief The minimum priority.
     177    ///
     178    /// This function returns the minimum priority.
     179    /// \pre The heap must be non-empty.
     180    Prio prio() const { return _data[_minimum].prio; }
     181
     182    /// \brief Remove the item having minimum priority.
     183    ///
     184    /// This function removes the item having minimum priority.
    205185    /// \pre The heap must be non-empty.
    206186    void pop() {
     
    235215    }
    236216
    237     /// \brief Deletes \c item from the heap.
    238     ///
    239     /// This method deletes \c item from the heap, if \c item was already
    240     /// stored in the heap. It is quite inefficient in Fibonacci heaps.
     217    /// \brief Remove the given item from the heap.
     218    ///
     219    /// This function removes the given item from the heap if it is
     220    /// already stored.
     221    /// \param item The item to delete.
     222    /// \pre \e item must be in the heap.
    241223    void erase (const Item& item) {
    242224      int i=_iim[item];
     
    253235    }
    254236
    255     /// \brief Decreases the priority of \c item to \c value.
    256     ///
    257     /// This method decreases the priority of \c item to \c value.
    258     /// \pre \c item must be stored in the heap with priority at least \c
    259     ///   value relative to \c Compare.
    260     void decrease (Item item, const Prio& value) {
     237    /// \brief The priority of the given item.
     238    ///
     239    /// This function returns the priority of the given item.
     240    /// \param item The item.
     241    /// \pre \e item must be in the heap.
     242    Prio operator[](const Item& item) const {
     243      return _data[_iim[item]].prio;
     244    }
     245
     246    /// \brief Set the priority of an item or insert it, if it is
     247    /// not stored in the heap.
     248    ///
     249    /// This method sets the priority of the given item if it is
     250    /// already stored in the heap. Otherwise it inserts the given
     251    /// item into the heap with the given priority.
     252    /// \param item The item.
     253    /// \param prio The priority.
     254    void set (const Item& item, const Prio& prio) {
    261255      int i=_iim[item];
    262       _data[i].prio=value;
     256      if ( i >= 0 && _data[i].in ) {
     257        if ( _comp(prio, _data[i].prio) ) decrease(item, prio);
     258        if ( _comp(_data[i].prio, prio) ) increase(item, prio);
     259      } else push(item, prio);
     260    }
     261
     262    /// \brief Decrease the priority of an item to the given value.
     263    ///
     264    /// This function decreases the priority of an item to the given value.
     265    /// \param item The item.
     266    /// \param prio The priority.
     267    /// \pre \e item must be stored in the heap with priority at least \e prio.
     268    void decrease (const Item& item, const Prio& prio) {
     269      int i=_iim[item];
     270      _data[i].prio=prio;
    263271      int p=_data[i].parent;
    264272
    265       if ( p!=-1 && _comp(value, _data[p].prio) ) {
     273      if ( p!=-1 && _comp(prio, _data[p].prio) ) {
    266274        cut(i,p);
    267275        cascade(p);
    268276      }
    269       if ( _comp(value, _data[_minimum].prio) ) _minimum=i;
    270     }
    271 
    272     /// \brief Increases the priority of \c item to \c value.
    273     ///
    274     /// This method sets the priority of \c item to \c value. Though
    275     /// there is no precondition on the priority of \c item, this
    276     /// method should be used only if it is indeed necessary to increase
    277     /// (relative to \c Compare) the priority of \c item, because this
    278     /// method is inefficient.
    279     void increase (Item item, const Prio& value) {
     277      if ( _comp(prio, _data[_minimum].prio) ) _minimum=i;
     278    }
     279
     280    /// \brief Increase the priority of an item to the given value.
     281    ///
     282    /// This function increases the priority of an item to the given value.
     283    /// \param item The item.
     284    /// \param prio The priority.
     285    /// \pre \e item must be stored in the heap with priority at most \e prio.
     286    void increase (const Item& item, const Prio& prio) {
    280287      erase(item);
    281       push(item, value);
    282     }
    283 
    284 
    285     /// \brief Returns if \c item is in, has already been in, or has never
    286     /// been in the heap.
    287     ///
    288     /// This method returns PRE_HEAP if \c item has never been in the
    289     /// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP
    290     /// otherwise. In the latter case it is possible that \c item will
    291     /// get back to the heap again.
     288      push(item, prio);
     289    }
     290
     291    /// \brief Return the state of an item.
     292    ///
     293    /// This method returns \c PRE_HEAP if the given item has never
     294    /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
     295    /// and \c POST_HEAP otherwise.
     296    /// In the latter case it is possible that the item will get back
     297    /// to the heap again.
     298    /// \param item The item.
    292299    State state(const Item &item) const {
    293300      int i=_iim[item];
     
    299306    }
    300307
    301     /// \brief Sets the state of the \c item in the heap.
    302     ///
    303     /// Sets the state of the \c item in the heap. It can be used to
    304     /// manually clear the heap when it is important to achive the
    305     /// better time _complexity.
     308    /// \brief Set the state of an item in the heap.
     309    ///
     310    /// This function sets the state of the given item in the heap.
     311    /// It can be used to manually clear the heap when it is important
     312    /// to achive better time complexity.
    306313    /// \param i The item.
    307314    /// \param st The state. It should not be \c IN_HEAP.
  • lemon/radix_heap.h

    r730 r756  
    2222///\ingroup auxdat
    2323///\file
    24 ///\brief Radix Heap implementation.
     24///\brief Radix heap implementation.
    2525
    2626#include <vector>
     
    3030
    3131
    32   /// \ingroup auxdata
     32  /// \ingroup auxdat
    3333  ///
    34   /// \brief A Radix Heap implementation.
     34  /// \brief Radix heap data structure.
    3535  ///
    36   /// This class implements the \e radix \e heap data structure. A \e heap
    37   /// is a data structure for storing items with specified values called \e
    38   /// priorities in such a way that finding the item with minimum priority is
    39   /// efficient. This heap type can store only items with \e int priority.
    40   /// In a heap one can change the priority of an item, add or erase an
    41   /// item, but the priority cannot be decreased under the last removed
    42   /// item's priority.
     36  /// This class implements the \e radix \e heap data structure.
     37  /// It practically conforms to the \ref concepts::Heap "heap concept",
     38  /// but it has some limitations due its special implementation.
     39  /// The type of the priorities must be \c int and the priority of an
     40  /// item cannot be decreased under the priority of the last removed item.
    4341  ///
    44   /// \param IM A read and writable Item int map, used internally
    45   /// to handle the cross references.
    46   ///
    47   /// \see BinHeap
    48   /// \see Dijkstra
     42  /// \tparam IM A read-writable item map with \c int values, used
     43  /// internally to handle the cross references.
    4944  template <typename IM>
    5045  class RadixHeap {
    5146
    5247  public:
    53     typedef typename IM::Key Item;
     48
     49    /// Type of the item-int map.
     50    typedef IM ItemIntMap;
     51    /// Type of the priorities.
    5452    typedef int Prio;
    55     typedef IM ItemIntMap;
     53    /// Type of the items stored in the heap.
     54    typedef typename ItemIntMap::Key Item;
    5655
    5756    /// \brief Exception thrown by RadixHeap.
    5857    ///
    59     /// This Exception is thrown when a smaller priority
    60     /// is inserted into the \e RadixHeap then the last time erased.
     58    /// This exception is thrown when an item is inserted into a
     59    /// RadixHeap with a priority smaller than the last erased one.
    6160    /// \see RadixHeap
    62 
    6361    class UnderFlowPriorityError : public Exception {
    6462    public:
     
    6866    };
    6967
    70     /// \brief Type to represent the items states.
    71     ///
    72     /// Each Item element have a state associated to it. It may be "in heap",
    73     /// "pre heap" or "post heap". The latter two are indifferent from the
     68    /// \brief Type to represent the states of the items.
     69    ///
     70    /// Each item has a state associated to it. It can be "in heap",
     71    /// "pre-heap" or "post-heap". The latter two are indifferent from the
    7472    /// heap's point of view, but may be useful to the user.
    7573    ///
    76     /// The ItemIntMap \e should be initialized in such way that it maps
    77     /// PRE_HEAP (-1) to any element to be put in the heap...
     74    /// The item-int map must be initialized in such way that it assigns
     75    /// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap.
    7876    enum State {
    79       IN_HEAP = 0,
    80       PRE_HEAP = -1,
    81       POST_HEAP = -2
     77      IN_HEAP = 0,    ///< = 0.
     78      PRE_HEAP = -1,  ///< = -1.
     79      POST_HEAP = -2  ///< = -2.
    8280    };
    8381
     
    102100    ItemIntMap &_iim;
    103101
    104 
    105102  public:
    106     /// \brief The constructor.
    107     ///
    108     /// The constructor.
    109     ///
    110     /// \param map It should be given to the constructor, since it is used
    111     /// internally to handle the cross references. The value of the map
    112     /// should be PRE_HEAP (-1) for each element.
    113     ///
    114     /// \param minimal The initial minimal value of the heap.
    115     /// \param capacity It determines the initial capacity of the heap.
    116     RadixHeap(ItemIntMap &map, int minimal = 0, int capacity = 0)
    117       : _iim(map) {
    118       boxes.push_back(RadixBox(minimal, 1));
    119       boxes.push_back(RadixBox(minimal + 1, 1));
    120       while (lower(boxes.size() - 1, capacity + minimal - 1)) {
     103
     104    /// \brief Constructor.
     105    ///
     106    /// Constructor.
     107    /// \param map A map that assigns \c int values to the items.
     108    /// It is used internally to handle the cross references.
     109    /// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.
     110    /// \param minimum The initial minimum value of the heap.
     111    /// \param capacity The initial capacity of the heap.
     112    RadixHeap(ItemIntMap &map, int minimum = 0, int capacity = 0)
     113      : _iim(map)
     114    {
     115      boxes.push_back(RadixBox(minimum, 1));
     116      boxes.push_back(RadixBox(minimum + 1, 1));
     117      while (lower(boxes.size() - 1, capacity + minimum - 1)) {
    121118        extend();
    122119      }
    123120    }
    124121
    125     /// The number of items stored in the heap.
    126     ///
    127     /// \brief Returns the number of items stored in the heap.
     122    /// \brief The number of items stored in the heap.
     123    ///
     124    /// This function returns the number of items stored in the heap.
    128125    int size() const { return data.size(); }
    129     /// \brief Checks if the heap stores no items.
    130     ///
    131     /// Returns \c true if and only if the heap stores no items.
     126
     127    /// \brief Check if the heap is empty.
     128    ///
     129    /// This function returns \c true if the heap is empty.
    132130    bool empty() const { return data.empty(); }
    133131
    134     /// \brief Make empty this heap.
    135     ///
    136     /// Make empty this heap. It does not change the cross reference
    137     /// map.  If you want to reuse a heap what is not surely empty you
    138     /// should first clear the heap and after that you should set the
    139     /// cross reference map for each item to \c PRE_HEAP.
    140     void clear(int minimal = 0, int capacity = 0) {
     132    /// \brief Make the heap empty.
     133    ///
     134    /// This functon makes the heap empty.
     135    /// It does not change the cross reference map. If you want to reuse
     136    /// a heap that is not surely empty, you should first clear it and
     137    /// then you should set the cross reference map to \c PRE_HEAP
     138    /// for each item.
     139    /// \param minimum The minimum value of the heap.
     140    /// \param capacity The capacity of the heap.
     141    void clear(int minimum = 0, int capacity = 0) {
    141142      data.clear(); boxes.clear();
    142       boxes.push_back(RadixBox(minimal, 1));
    143       boxes.push_back(RadixBox(minimal + 1, 1));
    144       while (lower(boxes.size() - 1, capacity + minimal - 1)) {
     143      boxes.push_back(RadixBox(minimum, 1));
     144      boxes.push_back(RadixBox(minimum + 1, 1));
     145      while (lower(boxes.size() - 1, capacity + minimum - 1)) {
    145146        extend();
    146147      }
     
    157158    }
    158159
    159     /// \brief Remove item from the box list.
     160    // Remove item from the box list
    160161    void remove(int index) {
    161162      if (data[index].prev >= 0) {
     
    169170    }
    170171
    171     /// \brief Insert item into the box list.
     172    // Insert item into the box list
    172173    void insert(int box, int index) {
    173174      if (boxes[box].first == -1) {
     
    183184    }
    184185
    185     /// \brief Add a new box to the box list.
     186    // Add a new box to the box list
    186187    void extend() {
    187188      int min = boxes.back().min + boxes.back().size;
     
    190191    }
    191192
    192     /// \brief Move an item up into the proper box.
     193    // Move an item up into the proper box.
    193194    void bubble_up(int index) {
    194195      if (!lower(data[index].box, data[index].prio)) return;
     
    198199    }
    199200
    200     /// \brief Find up the proper box for the item with the given prio.
     201    // Find up the proper box for the item with the given priority
    201202    int findUp(int start, int pr) {
    202203      while (lower(start, pr)) {
     
    208209    }
    209210
    210     /// \brief Move an item down into the proper box.
     211    // Move an item down into the proper box
    211212    void bubble_down(int index) {
    212213      if (!upper(data[index].box, data[index].prio)) return;
     
    216217    }
    217218
    218     /// \brief Find up the proper box for the item with the given prio.
     219    // Find down the proper box for the item with the given priority
    219220    int findDown(int start, int pr) {
    220221      while (upper(start, pr)) {
     
    224225    }
    225226
    226     /// \brief Find the first not empty box.
     227    // Find the first non-empty box
    227228    int findFirst() {
    228229      int first = 0;
     
    231232    }
    232233
    233     /// \brief Gives back the minimal prio of the box.
     234    // Gives back the minimum priority of the given box
    234235    int minValue(int box) {
    235236      int min = data[boxes[box].first].prio;
     
    240241    }
    241242
    242     /// \brief Rearrange the items of the heap and makes the
    243     /// first box not empty.
     243    // Rearrange the items of the heap and make the first box non-empty
    244244    void moveDown() {
    245245      int box = findFirst();
     
    278278    /// \brief Insert an item into the heap with the given priority.
    279279    ///
    280     /// Adds \c i to the heap with priority \c p.
     280    /// This function inserts the given item into the heap with the
     281    /// given priority.
    281282    /// \param i The item to insert.
    282283    /// \param p The priority of the item.
     284    /// \pre \e i must not be stored in the heap.
     285    /// \warning This method may throw an \c UnderFlowPriorityException.
    283286    void push(const Item &i, const Prio &p) {
    284287      int n = data.size();
     
    292295    }
    293296
    294     /// \brief Returns the item with minimum priority.
    295     ///
    296     /// This method returns the item with minimum priority.
    297     /// \pre The heap must be nonempty.
     297    /// \brief Return the item having minimum priority.
     298    ///
     299    /// This function returns the item having minimum priority.
     300    /// \pre The heap must be non-empty.
    298301    Item top() const {
    299302      const_cast<RadixHeap<ItemIntMap>&>(*this).moveDown();
     
    301304    }
    302305
    303     /// \brief Returns the minimum priority.
    304     ///
    305     /// It returns the minimum priority.
    306     /// \pre The heap must be nonempty.
     306    /// \brief The minimum priority.
     307    ///
     308    /// This function returns the minimum priority.
     309    /// \pre The heap must be non-empty.
    307310    Prio prio() const {
    308311      const_cast<RadixHeap<ItemIntMap>&>(*this).moveDown();
     
    310313     }
    311314
    312     /// \brief Deletes the item with minimum priority.
    313     ///
    314     /// This method deletes the item with minimum priority.
     315    /// \brief Remove the item having minimum priority.
     316    ///
     317    /// This function removes the item having minimum priority.
    315318    /// \pre The heap must be non-empty.
    316319    void pop() {
     
    322325    }
    323326
    324     /// \brief Deletes \c i from the heap.
    325     ///
    326     /// This method deletes item \c i from the heap, if \c i was
    327     /// already stored in the heap.
    328     /// \param i The item to erase.
     327    /// \brief Remove the given item from the heap.
     328    ///
     329    /// This function removes the given item from the heap if it is
     330    /// already stored.
     331    /// \param i The item to delete.
     332    /// \pre \e i must be in the heap.
    329333    void erase(const Item &i) {
    330334      int index = _iim[i];
     
    334338   }
    335339
    336     /// \brief Returns the priority of \c i.
    337     ///
    338     /// This function returns the priority of item \c i.
    339     /// \pre \c i must be in the heap.
    340     /// \param i The item.
     340    /// \brief The priority of the given item.
     341    ///
     342    /// This function returns the priority of the given item.
     343    /// \param i The item.
     344    /// \pre \e i must be in the heap.
    341345    Prio operator[](const Item &i) const {
    342346      int idx = _iim[i];
     
    344348    }
    345349
    346     /// \brief \c i gets to the heap with priority \c p independently
    347     /// if \c i was already there.
    348     ///
    349     /// This method calls \ref push(\c i, \c p) if \c i is not stored
    350     /// in the heap and sets the priority of \c i to \c p otherwise.
    351     /// It may throw an \e UnderFlowPriorityException.
     350    /// \brief Set the priority of an item or insert it, if it is
     351    /// not stored in the heap.
     352    ///
     353    /// This method sets the priority of the given item if it is
     354    /// already stored in the heap. Otherwise it inserts the given
     355    /// item into the heap with the given priority.
    352356    /// \param i The item.
    353357    /// \param p The priority.
     358    /// \pre \e i must be in the heap.
     359    /// \warning This method may throw an \c UnderFlowPriorityException.
    354360    void set(const Item &i, const Prio &p) {
    355361      int idx = _iim[i];
     
    366372    }
    367373
    368 
    369     /// \brief Decreases the priority of \c i to \c p.
    370     ///
    371     /// This method decreases the priority of item \c i to \c p.
    372     /// \pre \c i must be stored in the heap with priority at least \c p, and
    373     /// \c should be greater or equal to the last removed item's priority.
     374    /// \brief Decrease the priority of an item to the given value.
     375    ///
     376    /// This function decreases the priority of an item to the given value.
    374377    /// \param i The item.
    375378    /// \param p The priority.
     379    /// \pre \e i must be stored in the heap with priority at least \e p.
     380    /// \warning This method may throw an \c UnderFlowPriorityException.
    376381    void decrease(const Item &i, const Prio &p) {
    377382      int idx = _iim[i];
     
    380385    }
    381386
    382     /// \brief Increases the priority of \c i to \c p.
    383     ///
    384     /// This method sets the priority of item \c i to \c p.
    385     /// \pre \c i must be stored in the heap with priority at most \c p
     387    /// \brief Increase the priority of an item to the given value.
     388    ///
     389    /// This function increases the priority of an item to the given value.
    386390    /// \param i The item.
    387391    /// \param p The priority.
     392    /// \pre \e i must be stored in the heap with priority at most \e p.
    388393    void increase(const Item &i, const Prio &p) {
    389394      int idx = _iim[i];
     
    392397    }
    393398
    394     /// \brief Returns if \c item is in, has already been in, or has
    395     /// never been in the heap.
    396     ///
    397     /// This method returns PRE_HEAP if \c item has never been in the
    398     /// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP
    399     /// otherwise. In the latter case it is possible that \c item will
    400     /// get back to the heap again.
     399    /// \brief Return the state of an item.
     400    ///
     401    /// This method returns \c PRE_HEAP if the given item has never
     402    /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
     403    /// and \c POST_HEAP otherwise.
     404    /// In the latter case it is possible that the item will get back
     405    /// to the heap again.
    401406    /// \param i The item.
    402407    State state(const Item &i) const {
     
    406411    }
    407412
    408     /// \brief Sets the state of the \c item in the heap.
    409     ///
    410     /// Sets the state of the \c item in the heap. It can be used to
    411     /// manually clear the heap when it is important to achive the
    412     /// better time complexity.
     413    /// \brief Set the state of an item in the heap.
     414    ///
     415    /// This function sets the state of the given item in the heap.
     416    /// It can be used to manually clear the heap when it is important
     417    /// to achive better time complexity.
    413418    /// \param i The item.
    414419    /// \param st The state. It should not be \c IN_HEAP.
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