diff --git a/lemon/bucket_heap.h b/lemon/bucket_heap.h --- a/lemon/bucket_heap.h +++ b/lemon/bucket_heap.h @@ -19,9 +19,9 @@ #ifndef LEMON_BUCKET_HEAP_H #define LEMON_BUCKET_HEAP_H -///\ingroup auxdat +///\ingroup heaps ///\file -///\brief Bucket Heap implementation. +///\brief Bucket heap implementation. #include #include @@ -53,35 +53,41 @@ } - /// \ingroup auxdat + /// \ingroup heaps /// - /// \brief A Bucket Heap implementation. + /// \brief Bucket heap data structure. /// - /// This class implements the \e bucket \e heap data structure. A \e heap - /// is a data structure for storing items with specified values called \e - /// priorities in such a way that finding the item with minimum priority is - /// efficient. The bucket heap is very simple implementation, it can store - /// only integer priorities and it stores for each priority in the - /// \f$ [0..C) \f$ range a list of items. So it should be used only when - /// the priorities are small. It is not intended to use as dijkstra heap. + /// This class implements the \e bucket \e heap data structure. + /// It practically conforms to the \ref concepts::Heap "heap concept", + /// but it has some limitations. /// - /// \param IM A read and write Item int map, used internally - /// to handle the cross references. - /// \param MIN If the given parameter is false then instead of the - /// minimum value the maximum can be retrivied with the top() and - /// prio() member functions. + /// The bucket heap is a very simple structure. It can store only + /// \c int priorities and it maintains a list of items for each priority + /// in the range [0..C). So it should only be used when the + /// priorities are small. It is not intended to use as a Dijkstra heap. + /// + /// \tparam IM A read-writable item map with \c int values, used + /// internally to handle the cross references. + /// \tparam MIN Indicate if the heap is a \e min-heap or a \e max-heap. + /// The default is \e min-heap. If this parameter is set to \c false, + /// then the comparison is reversed, so the top(), prio() and pop() + /// functions deal with the item having maximum priority instead of the + /// minimum. + /// + /// \sa SimpleBucketHeap template class BucketHeap { public: - /// \e - typedef typename IM::Key Item; - /// \e + + /// Type of the item-int map. + typedef IM ItemIntMap; + /// Type of the priorities. typedef int Prio; - /// \e - typedef std::pair Pair; - /// \e - typedef IM ItemIntMap; + /// Type of the items stored in the heap. + typedef typename ItemIntMap::Key Item; + /// Type of the item-priority pairs. + typedef std::pair Pair; private: @@ -89,10 +95,10 @@ public: - /// \brief Type to represent the items states. + /// \brief Type to represent the states of the items. /// - /// Each Item element have a state associated to it. It may be "in heap", - /// "pre heap" or "post heap". The latter two are indifferent from the + /// Each item has a state associated to it. It can be "in heap", + /// "pre-heap" or "post-heap". The latter two are indifferent from the /// heap's point of view, but may be useful to the user. /// /// The item-int map must be initialized in such way that it assigns @@ -104,37 +110,39 @@ }; public: - /// \brief The constructor. + + /// \brief Constructor. /// - /// The constructor. - /// \param map should be given to the constructor, since it is used - /// internally to handle the cross references. The value of the map - /// should be PRE_HEAP (-1) for each element. + /// Constructor. + /// \param map A map that assigns \c int values to the items. + /// It is used internally to handle the cross references. + /// The assigned value must be \c PRE_HEAP (-1) for each item. explicit BucketHeap(ItemIntMap &map) : _iim(map), _minimum(0) {} - /// The number of items stored in the heap. + /// \brief The number of items stored in the heap. /// - /// \brief Returns the number of items stored in the heap. + /// This function returns the number of items stored in the heap. int size() const { return _data.size(); } - /// \brief Checks if the heap stores no items. + /// \brief Check if the heap is empty. /// - /// Returns \c true if and only if the heap stores no items. + /// This function returns \c true if the heap is empty. bool empty() const { return _data.empty(); } - /// \brief Make empty this heap. + /// \brief Make the heap empty. /// - /// Make empty this heap. It does not change the cross reference - /// map. If you want to reuse a heap what is not surely empty you - /// should first clear the heap and after that you should set the - /// cross reference map for each item to \c PRE_HEAP. + /// This functon makes the heap empty. + /// It does not change the cross reference map. If you want to reuse + /// a heap that is not surely empty, you should first clear it and + /// then you should set the cross reference map to \c PRE_HEAP + /// for each item. void clear() { _data.clear(); _first.clear(); _minimum = 0; } private: - void relocate_last(int idx) { + void relocateLast(int idx) { if (idx + 1 < int(_data.size())) { _data[idx] = _data.back(); if (_data[idx].prev != -1) { @@ -174,19 +182,24 @@ } public: + /// \brief Insert a pair of item and priority into the heap. /// - /// Adds \c p.first to the heap with priority \c p.second. + /// This function inserts \c p.first to the heap with priority + /// \c p.second. /// \param p The pair to insert. + /// \pre \c p.first must not be stored in the heap. void push(const Pair& p) { push(p.first, p.second); } /// \brief Insert an item into the heap with the given priority. /// - /// Adds \c i to the heap with priority \c p. + /// This function inserts the given item into the heap with the + /// given priority. /// \param i The item to insert. /// \param p The priority of the item. + /// \pre \e i must not be stored in the heap. void push(const Item &i, const Prio &p) { int idx = _data.size(); _iim[i] = idx; @@ -197,10 +210,10 @@ } } - /// \brief Returns the item with minimum priority. + /// \brief Return the item having minimum priority. /// - /// This method returns the item with minimum priority. - /// \pre The heap must be nonempty. + /// This function returns the item having minimum priority. + /// \pre The heap must be non-empty. Item top() const { while (_first[_minimum] == -1) { Direction::increase(_minimum); @@ -208,10 +221,10 @@ return _data[_first[_minimum]].item; } - /// \brief Returns the minimum priority. + /// \brief The minimum priority. /// - /// It returns the minimum priority. - /// \pre The heap must be nonempty. + /// This function returns the minimum priority. + /// \pre The heap must be non-empty. Prio prio() const { while (_first[_minimum] == -1) { Direction::increase(_minimum); @@ -219,9 +232,9 @@ return _minimum; } - /// \brief Deletes the item with minimum priority. + /// \brief Remove the item having minimum priority. /// - /// This method deletes the item with minimum priority from the heap. + /// This function removes the item having minimum priority. /// \pre The heap must be non-empty. void pop() { while (_first[_minimum] == -1) { @@ -230,37 +243,38 @@ int idx = _first[_minimum]; _iim[_data[idx].item] = -2; unlace(idx); - relocate_last(idx); + relocateLast(idx); } - /// \brief Deletes \c i from the heap. + /// \brief Remove the given item from the heap. /// - /// This method deletes item \c i from the heap, if \c i was - /// already stored in the heap. - /// \param i The item to erase. + /// This function removes the given item from the heap if it is + /// already stored. + /// \param i The item to delete. + /// \pre \e i must be in the heap. void erase(const Item &i) { int idx = _iim[i]; _iim[_data[idx].item] = -2; unlace(idx); - relocate_last(idx); + relocateLast(idx); } - - /// \brief Returns the priority of \c i. + /// \brief The priority of the given item. /// - /// This function returns the priority of item \c i. - /// \pre \c i must be in the heap. + /// This function returns the priority of the given item. /// \param i The item. + /// \pre \e i must be in the heap. Prio operator[](const Item &i) const { int idx = _iim[i]; return _data[idx].value; } - /// \brief \c i gets to the heap with priority \c p independently - /// if \c i was already there. + /// \brief Set the priority of an item or insert it, if it is + /// not stored in the heap. /// - /// This method calls \ref push(\c i, \c p) if \c i is not stored - /// in the heap and sets the priority of \c i to \c p otherwise. + /// This method sets the priority of the given item if it is + /// already stored in the heap. Otherwise it inserts the given + /// item into the heap with the given priority. /// \param i The item. /// \param p The priority. void set(const Item &i, const Prio &p) { @@ -274,13 +288,12 @@ } } - /// \brief Decreases the priority of \c i to \c p. + /// \brief Decrease the priority of an item to the given value. /// - /// This method decreases the priority of item \c i to \c p. - /// \pre \c i must be stored in the heap with priority at least \c - /// p relative to \c Compare. + /// This function decreases the priority of an item to the given value. /// \param i The item. /// \param p The priority. + /// \pre \e i must be stored in the heap with priority at least \e p. void decrease(const Item &i, const Prio &p) { int idx = _iim[i]; unlace(idx); @@ -291,13 +304,12 @@ lace(idx); } - /// \brief Increases the priority of \c i to \c p. + /// \brief Increase the priority of an item to the given value. /// - /// This method sets the priority of item \c i to \c p. - /// \pre \c i must be stored in the heap with priority at most \c - /// p relative to \c Compare. + /// This function increases the priority of an item to the given value. /// \param i The item. /// \param p The priority. + /// \pre \e i must be stored in the heap with priority at most \e p. void increase(const Item &i, const Prio &p) { int idx = _iim[i]; unlace(idx); @@ -305,13 +317,13 @@ lace(idx); } - /// \brief Returns if \c item is in, has already been in, or has - /// never been in the heap. + /// \brief Return the state of an item. /// - /// This method returns PRE_HEAP if \c item has never been in the - /// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP - /// otherwise. In the latter case it is possible that \c item will - /// get back to the heap again. + /// This method returns \c PRE_HEAP if the given item has never + /// been in the heap, \c IN_HEAP if it is in the heap at the moment, + /// and \c POST_HEAP otherwise. + /// In the latter case it is possible that the item will get back + /// to the heap again. /// \param i The item. State state(const Item &i) const { int idx = _iim[i]; @@ -319,11 +331,11 @@ return State(idx); } - /// \brief Sets the state of the \c item in the heap. + /// \brief Set the state of an item in the heap. /// - /// Sets the state of the \c item in the heap. It can be used to - /// manually clear the heap when it is important to achive the - /// better time complexity. + /// This function sets the state of the given item in the heap. + /// It can be used to manually clear the heap when it is important + /// to achive better time complexity. /// \param i The item. /// \param st The state. It should not be \c IN_HEAP. void state(const Item& i, State st) { @@ -359,33 +371,44 @@ }; // class BucketHeap - /// \ingroup auxdat + /// \ingroup heaps /// - /// \brief A Simplified Bucket Heap implementation. + /// \brief Simplified bucket heap data structure. /// /// This class implements a simplified \e bucket \e heap data - /// structure. It does not provide some functionality but it faster - /// and simplier data structure than the BucketHeap. The main - /// difference is that the BucketHeap stores for every key a double - /// linked list while this class stores just simple lists. In the - /// other way it does not support erasing each elements just the - /// minimal and it does not supports key increasing, decreasing. + /// structure. It does not provide some functionality, but it is + /// faster and simpler than BucketHeap. The main difference is + /// that BucketHeap stores a doubly-linked list for each key while + /// this class stores only simply-linked lists. It supports erasing + /// only for the item having minimum priority and it does not support + /// key increasing and decreasing. /// - /// \param IM A read and write Item int map, used internally - /// to handle the cross references. - /// \param MIN If the given parameter is false then instead of the - /// minimum value the maximum can be retrivied with the top() and - /// prio() member functions. + /// Note that this implementation does not conform to the + /// \ref concepts::Heap "heap concept" due to the lack of some + /// functionality. + /// + /// \tparam IM A read-writable item map with \c int values, used + /// internally to handle the cross references. + /// \tparam MIN Indicate if the heap is a \e min-heap or a \e max-heap. + /// The default is \e min-heap. If this parameter is set to \c false, + /// then the comparison is reversed, so the top(), prio() and pop() + /// functions deal with the item having maximum priority instead of the + /// minimum. /// /// \sa BucketHeap template class SimpleBucketHeap { public: - typedef typename IM::Key Item; + + /// Type of the item-int map. + typedef IM ItemIntMap; + /// Type of the priorities. typedef int Prio; - typedef std::pair Pair; - typedef IM ItemIntMap; + /// Type of the items stored in the heap. + typedef typename ItemIntMap::Key Item; + /// Type of the item-priority pairs. + typedef std::pair Pair; private: @@ -393,10 +416,10 @@ public: - /// \brief Type to represent the items states. + /// \brief Type to represent the states of the items. /// - /// Each Item element have a state associated to it. It may be "in heap", - /// "pre heap" or "post heap". The latter two are indifferent from the + /// Each item has a state associated to it. It can be "in heap", + /// "pre-heap" or "post-heap". The latter two are indifferent from the /// heap's point of view, but may be useful to the user. /// /// The item-int map must be initialized in such way that it assigns @@ -409,48 +432,53 @@ public: - /// \brief The constructor. + /// \brief Constructor. /// - /// The constructor. - /// \param map should be given to the constructor, since it is used - /// internally to handle the cross references. The value of the map - /// should be PRE_HEAP (-1) for each element. + /// Constructor. + /// \param map A map that assigns \c int values to the items. + /// It is used internally to handle the cross references. + /// The assigned value must be \c PRE_HEAP (-1) for each item. explicit SimpleBucketHeap(ItemIntMap &map) : _iim(map), _free(-1), _num(0), _minimum(0) {} - /// \brief Returns the number of items stored in the heap. + /// \brief The number of items stored in the heap. /// - /// The number of items stored in the heap. + /// This function returns the number of items stored in the heap. int size() const { return _num; } - /// \brief Checks if the heap stores no items. + /// \brief Check if the heap is empty. /// - /// Returns \c true if and only if the heap stores no items. + /// This function returns \c true if the heap is empty. bool empty() const { return _num == 0; } - /// \brief Make empty this heap. + /// \brief Make the heap empty. /// - /// Make empty this heap. It does not change the cross reference - /// map. If you want to reuse a heap what is not surely empty you - /// should first clear the heap and after that you should set the - /// cross reference map for each item to \c PRE_HEAP. + /// This functon makes the heap empty. + /// It does not change the cross reference map. If you want to reuse + /// a heap that is not surely empty, you should first clear it and + /// then you should set the cross reference map to \c PRE_HEAP + /// for each item. void clear() { _data.clear(); _first.clear(); _free = -1; _num = 0; _minimum = 0; } /// \brief Insert a pair of item and priority into the heap. /// - /// Adds \c p.first to the heap with priority \c p.second. + /// This function inserts \c p.first to the heap with priority + /// \c p.second. /// \param p The pair to insert. + /// \pre \c p.first must not be stored in the heap. void push(const Pair& p) { push(p.first, p.second); } /// \brief Insert an item into the heap with the given priority. /// - /// Adds \c i to the heap with priority \c p. + /// This function inserts the given item into the heap with the + /// given priority. /// \param i The item to insert. /// \param p The priority of the item. + /// \pre \e i must not be stored in the heap. void push(const Item &i, const Prio &p) { int idx; if (_free == -1) { @@ -471,10 +499,10 @@ ++_num; } - /// \brief Returns the item with minimum priority. + /// \brief Return the item having minimum priority. /// - /// This method returns the item with minimum priority. - /// \pre The heap must be nonempty. + /// This function returns the item having minimum priority. + /// \pre The heap must be non-empty. Item top() const { while (_first[_minimum] == -1) { Direction::increase(_minimum); @@ -482,10 +510,10 @@ return _data[_first[_minimum]].item; } - /// \brief Returns the minimum priority. + /// \brief The minimum priority. /// - /// It returns the minimum priority. - /// \pre The heap must be nonempty. + /// This function returns the minimum priority. + /// \pre The heap must be non-empty. Prio prio() const { while (_first[_minimum] == -1) { Direction::increase(_minimum); @@ -493,9 +521,9 @@ return _minimum; } - /// \brief Deletes the item with minimum priority. + /// \brief Remove the item having minimum priority. /// - /// This method deletes the item with minimum priority from the heap. + /// This function removes the item having minimum priority. /// \pre The heap must be non-empty. void pop() { while (_first[_minimum] == -1) { @@ -509,16 +537,15 @@ --_num; } - /// \brief Returns the priority of \c i. + /// \brief The priority of the given item. /// - /// This function returns the priority of item \c i. - /// \warning This operator is not a constant time function - /// because it scans the whole data structure to find the proper - /// value. - /// \pre \c i must be in the heap. + /// This function returns the priority of the given item. /// \param i The item. + /// \pre \e i must be in the heap. + /// \warning This operator is not a constant time function because + /// it scans the whole data structure to find the proper value. Prio operator[](const Item &i) const { - for (int k = 0; k < _first.size(); ++k) { + for (int k = 0; k < int(_first.size()); ++k) { int idx = _first[k]; while (idx != -1) { if (_data[idx].item == i) { @@ -530,13 +557,13 @@ return -1; } - /// \brief Returns if \c item is in, has already been in, or has - /// never been in the heap. + /// \brief Return the state of an item. /// - /// This method returns PRE_HEAP if \c item has never been in the - /// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP - /// otherwise. In the latter case it is possible that \c item will - /// get back to the heap again. + /// This method returns \c PRE_HEAP if the given item has never + /// been in the heap, \c IN_HEAP if it is in the heap at the moment, + /// and \c POST_HEAP otherwise. + /// In the latter case it is possible that the item will get back + /// to the heap again. /// \param i The item. State state(const Item &i) const { int idx = _iim[i];