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/* -*- mode: C++; indent-tabs-mode: nil; -*- |
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* |
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* This file is a part of LEMON, a generic C++ optimization library. |
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* |
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* Copyright (C) 2003-2009 |
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* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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* (Egervary Research Group on Combinatorial Optimization, EGRES). |
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* |
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* Permission to use, modify and distribute this software is granted |
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* provided that this copyright notice appears in all copies. For |
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* precise terms see the accompanying LICENSE file. |
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* |
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* This software is provided "AS IS" with no warranty of any kind, |
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* express or implied, and with no claim as to its suitability for any |
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* purpose. |
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* |
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*/ |
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#ifndef LEMON_BUCKET_HEAP_H |
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#define LEMON_BUCKET_HEAP_H |
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|
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///\ingroup auxdat |
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///\file |
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///\brief Bucket Heap implementation. |
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|
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#include <vector> |
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#include <utility> |
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#include <functional> |
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|
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namespace lemon { |
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|
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namespace _bucket_heap_bits { |
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|
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template <bool MIN> |
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struct DirectionTraits { |
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static bool less(int left, int right) { |
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return left < right; |
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} |
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static void increase(int& value) { |
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++value; |
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} |
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}; |
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|
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template <> |
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struct DirectionTraits<false> { |
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static bool less(int left, int right) { |
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return left > right; |
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} |
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static void increase(int& value) { |
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--value; |
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} |
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}; |
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|
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} |
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|
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/// \ingroup auxdat |
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/// |
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/// \brief A Bucket Heap implementation. |
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/// |
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/// This class implements the \e bucket \e heap data structure. A \e heap |
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/// is a data structure for storing items with specified values called \e |
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/// priorities in such a way that finding the item with minimum priority is |
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/// efficient. The bucket heap is very simple implementation, it can store |
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/// only integer priorities and it stores for each priority in the |
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/// \f$ [0..C) \f$ range a list of items. So it should be used only when |
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/// the priorities are small. It is not intended to use as dijkstra heap. |
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/// |
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/// \param IM A read and write Item int map, used internally |
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/// to handle the cross references. |
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/// \param MIN If the given parameter is false then instead of the |
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/// minimum value the maximum can be retrivied with the top() and |
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/// prio() member functions. |
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template <typename IM, bool MIN = true> |
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class BucketHeap { |
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|
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public: |
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/// \e |
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typedef typename IM::Key Item; |
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/// \e |
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typedef int Prio; |
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/// \e |
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typedef std::pair<Item, Prio> Pair; |
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/// \e |
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typedef IM ItemIntMap; |
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|
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private: |
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|
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typedef _bucket_heap_bits::DirectionTraits<MIN> Direction; |
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|
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public: |
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|
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/// \brief Type to represent the items states. |
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/// |
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/// Each Item element have a state associated to it. It may be "in heap", |
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/// "pre heap" or "post heap". The latter two are indifferent from the |
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/// heap's point of view, but may be useful to the user. |
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/// |
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/// The item-int map must be initialized in such way that it assigns |
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/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
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enum State { |
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IN_HEAP = 0, ///< = 0. |
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PRE_HEAP = -1, ///< = -1. |
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POST_HEAP = -2 ///< = -2. |
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}; |
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|
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public: |
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/// \brief The constructor. |
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/// |
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/// The constructor. |
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/// \param map should be given to the constructor, since it is used |
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/// internally to handle the cross references. The value of the map |
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/// should be PRE_HEAP (-1) for each element. |
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explicit BucketHeap(ItemIntMap &map) : _iim(map), _minimum(0) {} |
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|
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/// The number of items stored in the heap. |
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/// |
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/// \brief Returns the number of items stored in the heap. |
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int size() const { return _data.size(); } |
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|
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/// \brief Checks if the heap stores no items. |
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/// |
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/// Returns \c true if and only if the heap stores no items. |
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bool empty() const { return _data.empty(); } |
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|
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/// \brief Make empty this heap. |
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/// |
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/// Make empty this heap. It does not change the cross reference |
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/// map. If you want to reuse a heap what is not surely empty you |
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/// should first clear the heap and after that you should set the |
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/// cross reference map for each item to \c PRE_HEAP. |
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void clear() { |
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_data.clear(); _first.clear(); _minimum = 0; |
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} |
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private: |
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|
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void relocate_last(int idx) { |
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if (idx + 1 < int(_data.size())) { |
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_data[idx] = _data.back(); |
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if (_data[idx].prev != -1) { |
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_data[_data[idx].prev].next = idx; |
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} else { |
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_first[_data[idx].value] = idx; |
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} |
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if (_data[idx].next != -1) { |
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_data[_data[idx].next].prev = idx; |
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} |
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_iim[_data[idx].item] = idx; |
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} |
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_data.pop_back(); |
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} |
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void unlace(int idx) { |
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if (_data[idx].prev != -1) { |
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_data[_data[idx].prev].next = _data[idx].next; |
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} else { |
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_first[_data[idx].value] = _data[idx].next; |
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} |
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if (_data[idx].next != -1) { |
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_data[_data[idx].next].prev = _data[idx].prev; |
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} |
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} |
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|
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void lace(int idx) { |
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if (int(_first.size()) <= _data[idx].value) { |
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_first.resize(_data[idx].value + 1, -1); |
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} |
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_data[idx].next = _first[_data[idx].value]; |
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if (_data[idx].next != -1) { |
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_data[_data[idx].next].prev = idx; |
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} |
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_first[_data[idx].value] = idx; |
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_data[idx].prev = -1; |
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} |
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|
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public: |
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/// \brief Insert a pair of item and priority into the heap. |
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/// |
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/// Adds \c p.first to the heap with priority \c p.second. |
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/// \param p The pair to insert. |
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void push(const Pair& p) { |
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push(p.first, p.second); |
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} |
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|
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/// \brief Insert an item into the heap with the given priority. |
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/// |
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/// Adds \c i to the heap with priority \c p. |
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/// \param i The item to insert. |
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/// \param p The priority of the item. |
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void push(const Item &i, const Prio &p) { |
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int idx = _data.size(); |
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_iim[i] = idx; |
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_data.push_back(BucketItem(i, p)); |
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lace(idx); |
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if (Direction::less(p, _minimum)) { |
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_minimum = p; |
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} |
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} |
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|
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/// \brief Returns the item with minimum priority. |
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/// |
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/// This method returns the item with minimum priority. |
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/// \pre The heap must be nonempty. |
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Item top() const { |
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while (_first[_minimum] == -1) { |
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Direction::increase(_minimum); |
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} |
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return _data[_first[_minimum]].item; |
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} |
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|
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/// \brief Returns the minimum priority. |
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/// |
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/// It returns the minimum priority. |
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/// \pre The heap must be nonempty. |
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Prio prio() const { |
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while (_first[_minimum] == -1) { |
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Direction::increase(_minimum); |
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} |
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return _minimum; |
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} |
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|
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/// \brief Deletes the item with minimum priority. |
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/// |
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/// This method deletes the item with minimum priority from the heap. |
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/// \pre The heap must be non-empty. |
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void pop() { |
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while (_first[_minimum] == -1) { |
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Direction::increase(_minimum); |
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} |
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int idx = _first[_minimum]; |
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_iim[_data[idx].item] = -2; |
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unlace(idx); |
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relocate_last(idx); |
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} |
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|
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/// \brief Deletes \c i from the heap. |
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/// |
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/// This method deletes item \c i from the heap, if \c i was |
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/// already stored in the heap. |
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/// \param i The item to erase. |
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void erase(const Item &i) { |
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int idx = _iim[i]; |
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_iim[_data[idx].item] = -2; |
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unlace(idx); |
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relocate_last(idx); |
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} |
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|
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|
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/// \brief Returns the priority of \c i. |
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/// |
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/// This function returns the priority of item \c i. |
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/// \pre \c i must be in the heap. |
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/// \param i The item. |
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Prio operator[](const Item &i) const { |
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int idx = _iim[i]; |
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return _data[idx].value; |
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} |
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|
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/// \brief \c i gets to the heap with priority \c p independently |
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/// if \c i was already there. |
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/// |
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/// This method calls \ref push(\c i, \c p) if \c i is not stored |
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/// in the heap and sets the priority of \c i to \c p otherwise. |
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/// \param i The item. |
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/// \param p The priority. |
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void set(const Item &i, const Prio &p) { |
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int idx = _iim[i]; |
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if (idx < 0) { |
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push(i, p); |
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} else if (Direction::less(p, _data[idx].value)) { |
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decrease(i, p); |
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} else { |
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increase(i, p); |
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} |
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} |
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|
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/// \brief Decreases the priority of \c i to \c p. |
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/// |
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/// This method decreases the priority of item \c i to \c p. |
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/// \pre \c i must be stored in the heap with priority at least \c |
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/// p relative to \c Compare. |
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/// \param i The item. |
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/// \param p The priority. |
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void decrease(const Item &i, const Prio &p) { |
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int idx = _iim[i]; |
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unlace(idx); |
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_data[idx].value = p; |
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if (Direction::less(p, _minimum)) { |
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_minimum = p; |
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} |
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lace(idx); |
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} |
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|
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/// \brief Increases the priority of \c i to \c p. |
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/// |
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/// This method sets the priority of item \c i to \c p. |
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/// \pre \c i must be stored in the heap with priority at most \c |
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/// p relative to \c Compare. |
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/// \param i The item. |
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/// \param p The priority. |
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void increase(const Item &i, const Prio &p) { |
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int idx = _iim[i]; |
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unlace(idx); |
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_data[idx].value = p; |
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lace(idx); |
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} |
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|
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/// \brief Returns if \c item is in, has already been in, or has |
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/// never been in the heap. |
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/// |
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/// This method returns PRE_HEAP if \c item has never been in the |
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/// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP |
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/// otherwise. In the latter case it is possible that \c item will |
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/// get back to the heap again. |
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/// \param i The item. |
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State state(const Item &i) const { |
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int idx = _iim[i]; |
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if (idx >= 0) idx = 0; |
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return State(idx); |
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} |
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|
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/// \brief Sets the state of the \c item in the heap. |
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/// |
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/// Sets the state of the \c item in the heap. It can be used to |
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/// manually clear the heap when it is important to achive the |
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/// better time complexity. |
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/// \param i The item. |
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/// \param st The state. It should not be \c IN_HEAP. |
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void state(const Item& i, State st) { |
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switch (st) { |
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case POST_HEAP: |
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case PRE_HEAP: |
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if (state(i) == IN_HEAP) { |
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erase(i); |
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} |
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_iim[i] = st; |
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break; |
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case IN_HEAP: |
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break; |
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} |
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} |
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|
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private: |
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|
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struct BucketItem { |
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BucketItem(const Item& _item, int _value) |
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: item(_item), value(_value) {} |
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|
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Item item; |
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int value; |
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|
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int prev, next; |
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}; |
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|
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ItemIntMap& _iim; |
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std::vector<int> _first; |
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std::vector<BucketItem> _data; |
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mutable int _minimum; |
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|
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}; // class BucketHeap |
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|
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/// \ingroup auxdat |
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/// |
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/// \brief A Simplified Bucket Heap implementation. |
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/// |
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/// This class implements a simplified \e bucket \e heap data |
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/// structure. It does not provide some functionality but it faster |
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/// and simplier data structure than the BucketHeap. The main |
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/// difference is that the BucketHeap stores for every key a double |
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/// linked list while this class stores just simple lists. In the |
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/// other way it does not support erasing each elements just the |
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/// minimal and it does not supports key increasing, decreasing. |
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/// |
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/// \param IM A read and write Item int map, used internally |
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/// to handle the cross references. |
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/// \param MIN If the given parameter is false then instead of the |
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/// minimum value the maximum can be retrivied with the top() and |
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/// prio() member functions. |
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/// |
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/// \sa BucketHeap |
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template <typename IM, bool MIN = true > |
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class SimpleBucketHeap { |
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383 |
|
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384 |
public: |
|
385 |
typedef typename IM::Key Item; |
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386 |
typedef int Prio; |
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387 |
typedef std::pair<Item, Prio> Pair; |
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388 |
typedef IM ItemIntMap; |
|
389 |
|
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390 |
private: |
|
391 |
|
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392 |
typedef _bucket_heap_bits::DirectionTraits<MIN> Direction; |
|
393 |
|
|
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public: |
|
395 |
|
|
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 |
|
400 |
/// heap's point of view, but may be useful to the user. |
|
401 |
/// |
|
402 |
/// The item-int map must be initialized in such way that it assigns |
|
403 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
|
404 |
enum State { |
|
405 |
IN_HEAP = 0, ///< = 0. |
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406 |
PRE_HEAP = -1, ///< = -1. |
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407 |
POST_HEAP = -2 ///< = -2. |
|
408 |
}; |
|
409 |
|
|
410 |
public: |
|
411 |
|
|
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. |
|
418 |
explicit SimpleBucketHeap(ItemIntMap &map) |
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419 |
: _iim(map), _free(-1), _num(0), _minimum(0) {} |
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420 |
|
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421 |
/// \brief Returns the number of items stored in the heap. |
|
422 |
/// |
|
423 |
/// The number of items stored in the heap. |
|
424 |
int size() const { return _num; } |
|
425 |
|
|
426 |
/// \brief Checks if the heap stores no items. |
|
427 |
/// |
|
428 |
/// Returns \c true if and only if the heap stores no items. |
|
429 |
bool empty() const { return _num == 0; } |
|
430 |
|
|
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. |
|
437 |
void clear() { |
|
438 |
_data.clear(); _first.clear(); _free = -1; _num = 0; _minimum = 0; |
|
439 |
} |
|
440 |
|
|
441 |
/// \brief Insert a pair of item and priority into the heap. |
|
442 |
/// |
|
443 |
/// Adds \c p.first to the heap with priority \c p.second. |
|
444 |
/// \param p The pair to insert. |
|
445 |
void push(const Pair& p) { |
|
446 |
push(p.first, p.second); |
|
447 |
} |
|
448 |
|
|
449 |
/// \brief Insert an item into the heap with the given priority. |
|
450 |
/// |
|
451 |
/// Adds \c i to the heap with priority \c p. |
|
452 |
/// \param i The item to insert. |
|
453 |
/// \param p The priority of the item. |
|
454 |
void push(const Item &i, const Prio &p) { |
|
455 |
int idx; |
|
456 |
if (_free == -1) { |
|
457 |
idx = _data.size(); |
|
458 |
_data.push_back(BucketItem(i)); |
|
459 |
} else { |
|
460 |
idx = _free; |
|
461 |
_free = _data[idx].next; |
|
462 |
_data[idx].item = i; |
|
463 |
} |
|
464 |
_iim[i] = idx; |
|
465 |
if (p >= int(_first.size())) _first.resize(p + 1, -1); |
|
466 |
_data[idx].next = _first[p]; |
|
467 |
_first[p] = idx; |
|
468 |
if (Direction::less(p, _minimum)) { |
|
469 |
_minimum = p; |
|
470 |
} |
|
471 |
++_num; |
|
472 |
} |
|
473 |
|
|
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. |
|
478 |
Item top() const { |
|
479 |
while (_first[_minimum] == -1) { |
|
480 |
Direction::increase(_minimum); |
|
481 |
} |
|
482 |
return _data[_first[_minimum]].item; |
|
483 |
} |
|
484 |
|
|
485 |
/// \brief Returns the minimum priority. |
|
486 |
/// |
|
487 |
/// It returns the minimum priority. |
|
488 |
/// \pre The heap must be nonempty. |
|
489 |
Prio prio() const { |
|
490 |
while (_first[_minimum] == -1) { |
|
491 |
Direction::increase(_minimum); |
|
492 |
} |
|
493 |
return _minimum; |
|
494 |
} |
|
495 |
|
|
496 |
/// \brief Deletes the item with minimum priority. |
|
497 |
/// |
|
498 |
/// This method deletes the item with minimum priority from the heap. |
|
499 |
/// \pre The heap must be non-empty. |
|
500 |
void pop() { |
|
501 |
while (_first[_minimum] == -1) { |
|
502 |
Direction::increase(_minimum); |
|
503 |
} |
|
504 |
int idx = _first[_minimum]; |
|
505 |
_iim[_data[idx].item] = -2; |
|
506 |
_first[_minimum] = _data[idx].next; |
|
507 |
_data[idx].next = _free; |
|
508 |
_free = idx; |
|
509 |
--_num; |
|
510 |
} |
|
511 |
|
|
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. |
|
520 |
Prio operator[](const Item &i) const { |
|
521 |
for (int k = 0; k < _first.size(); ++k) { |
|
522 |
int idx = _first[k]; |
|
523 |
while (idx != -1) { |
|
524 |
if (_data[idx].item == i) { |
|
525 |
return k; |
|
526 |
} |
|
527 |
idx = _data[idx].next; |
|
528 |
} |
|
529 |
} |
|
530 |
return -1; |
|
531 |
} |
|
532 |
|
|
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. |
|
540 |
/// \param i The item. |
|
541 |
State state(const Item &i) const { |
|
542 |
int idx = _iim[i]; |
|
543 |
if (idx >= 0) idx = 0; |
|
544 |
return State(idx); |
|
545 |
} |
|
546 |
|
|
547 |
private: |
|
548 |
|
|
549 |
struct BucketItem { |
|
550 |
BucketItem(const Item& _item) |
|
551 |
: item(_item) {} |
|
552 |
|
|
553 |
Item item; |
|
554 |
int next; |
|
555 |
}; |
|
556 |
|
|
557 |
ItemIntMap& _iim; |
|
558 |
std::vector<int> _first; |
|
559 |
std::vector<BucketItem> _data; |
|
560 |
int _free, _num; |
|
561 |
mutable int _minimum; |
|
562 |
|
|
563 |
}; // class SimpleBucketHeap |
|
564 |
|
|
565 |
} |
|
566 |
|
|
567 |
#endif |
1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
|
2 |
* |
|
3 |
* This file is a part of LEMON, a generic C++ optimization library. |
|
4 |
* |
|
5 |
* Copyright (C) 2003-2009 |
|
6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
|
7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
|
8 |
* |
|
9 |
* Permission to use, modify and distribute this software is granted |
|
10 |
* provided that this copyright notice appears in all copies. For |
|
11 |
* precise terms see the accompanying LICENSE file. |
|
12 |
* |
|
13 |
* This software is provided "AS IS" with no warranty of any kind, |
|
14 |
* express or implied, and with no claim as to its suitability for any |
|
15 |
* purpose. |
|
16 |
* |
|
17 |
*/ |
|
18 |
|
|
19 |
#ifndef LEMON_FIB_HEAP_H |
|
20 |
#define LEMON_FIB_HEAP_H |
|
21 |
|
|
22 |
///\file |
|
23 |
///\ingroup auxdat |
|
24 |
///\brief Fibonacci Heap implementation. |
|
25 |
|
|
26 |
#include <vector> |
|
27 |
#include <functional> |
|
28 |
#include <lemon/math.h> |
|
29 |
|
|
30 |
namespace lemon { |
|
31 |
|
|
32 |
/// \ingroup auxdat |
|
33 |
/// |
|
34 |
///\brief Fibonacci Heap. |
|
35 |
/// |
|
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. |
|
41 |
/// |
|
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". |
|
45 |
/// |
|
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 |
|
54 |
#ifdef DOXYGEN |
|
55 |
template <typename PRIO, typename IM, typename CMP> |
|
56 |
#else |
|
57 |
template <typename PRIO, typename IM, typename CMP = std::less<PRIO> > |
|
58 |
#endif |
|
59 |
class FibHeap { |
|
60 |
public: |
|
61 |
///\e |
|
62 |
typedef IM ItemIntMap; |
|
63 |
///\e |
|
64 |
typedef PRIO Prio; |
|
65 |
///\e |
|
66 |
typedef typename ItemIntMap::Key Item; |
|
67 |
///\e |
|
68 |
typedef std::pair<Item,Prio> Pair; |
|
69 |
///\e |
|
70 |
typedef CMP Compare; |
|
71 |
|
|
72 |
private: |
|
73 |
class Store; |
|
74 |
|
|
75 |
std::vector<Store> _data; |
|
76 |
int _minimum; |
|
77 |
ItemIntMap &_iim; |
|
78 |
Compare _comp; |
|
79 |
int _num; |
|
80 |
|
|
81 |
public: |
|
82 |
|
|
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 |
|
87 |
/// heap's point of view, but may be useful to the user. |
|
88 |
/// |
|
89 |
/// The item-int map must be initialized in such way that it assigns |
|
90 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
|
91 |
enum State { |
|
92 |
IN_HEAP = 0, ///< = 0. |
|
93 |
PRE_HEAP = -1, ///< = -1. |
|
94 |
POST_HEAP = -2 ///< = -2. |
|
95 |
}; |
|
96 |
|
|
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. |
|
101 |
explicit FibHeap(ItemIntMap &map) |
|
102 |
: _minimum(0), _iim(map), _num() {} |
|
103 |
|
|
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. |
|
109 |
FibHeap(ItemIntMap &map, const Compare &comp) |
|
110 |
: _minimum(0), _iim(map), _comp(comp), _num() {} |
|
111 |
|
|
112 |
/// \brief The number of items stored in the heap. |
|
113 |
/// |
|
114 |
/// Returns the number of items stored in the heap. |
|
115 |
int size() const { return _num; } |
|
116 |
|
|
117 |
/// \brief Checks if the heap stores no items. |
|
118 |
/// |
|
119 |
/// Returns \c true if and only if the heap stores no items. |
|
120 |
bool empty() const { return _num==0; } |
|
121 |
|
|
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. |
|
128 |
void clear() { |
|
129 |
_data.clear(); _minimum = 0; _num = 0; |
|
130 |
} |
|
131 |
|
|
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) { |
|
151 |
int i=_iim[item]; |
|
152 |
if ( i < 0 ) { |
|
153 |
int s=_data.size(); |
|
154 |
_iim.set( item, s ); |
|
155 |
Store st; |
|
156 |
st.name=item; |
|
157 |
_data.push_back(st); |
|
158 |
i=s; |
|
159 |
} else { |
|
160 |
_data[i].parent=_data[i].child=-1; |
|
161 |
_data[i].degree=0; |
|
162 |
_data[i].in=true; |
|
163 |
_data[i].marked=false; |
|
164 |
} |
|
165 |
|
|
166 |
if ( _num ) { |
|
167 |
_data[_data[_minimum].right_neighbor].left_neighbor=i; |
|
168 |
_data[i].right_neighbor=_data[_minimum].right_neighbor; |
|
169 |
_data[_minimum].right_neighbor=i; |
|
170 |
_data[i].left_neighbor=_minimum; |
|
171 |
if ( _comp( value, _data[_minimum].prio) ) _minimum=i; |
|
172 |
} else { |
|
173 |
_data[i].right_neighbor=_data[i].left_neighbor=i; |
|
174 |
_minimum=i; |
|
175 |
} |
|
176 |
_data[i].prio=value; |
|
177 |
++_num; |
|
178 |
} |
|
179 |
|
|
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. |
|
185 |
Item top() const { return _data[_minimum].name; } |
|
186 |
|
|
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. |
|
205 |
/// \pre The heap must be non-empty. |
|
206 |
void pop() { |
|
207 |
/*The first case is that there are only one root.*/ |
|
208 |
if ( _data[_minimum].left_neighbor==_minimum ) { |
|
209 |
_data[_minimum].in=false; |
|
210 |
if ( _data[_minimum].degree!=0 ) { |
|
211 |
makeroot(_data[_minimum].child); |
|
212 |
_minimum=_data[_minimum].child; |
|
213 |
balance(); |
|
214 |
} |
|
215 |
} else { |
|
216 |
int right=_data[_minimum].right_neighbor; |
|
217 |
unlace(_minimum); |
|
218 |
_data[_minimum].in=false; |
|
219 |
if ( _data[_minimum].degree > 0 ) { |
|
220 |
int left=_data[_minimum].left_neighbor; |
|
221 |
int child=_data[_minimum].child; |
|
222 |
int last_child=_data[child].left_neighbor; |
|
223 |
|
|
224 |
makeroot(child); |
|
225 |
|
|
226 |
_data[left].right_neighbor=child; |
|
227 |
_data[child].left_neighbor=left; |
|
228 |
_data[right].left_neighbor=last_child; |
|
229 |
_data[last_child].right_neighbor=right; |
|
230 |
} |
|
231 |
_minimum=right; |
|
232 |
balance(); |
|
233 |
} // the case where there are more roots |
|
234 |
--_num; |
|
235 |
} |
|
236 |
|
|
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. |
|
241 |
void erase (const Item& item) { |
|
242 |
int i=_iim[item]; |
|
243 |
|
|
244 |
if ( i >= 0 && _data[i].in ) { |
|
245 |
if ( _data[i].parent!=-1 ) { |
|
246 |
int p=_data[i].parent; |
|
247 |
cut(i,p); |
|
248 |
cascade(p); |
|
249 |
} |
|
250 |
_minimum=i; //As if its prio would be -infinity |
|
251 |
pop(); |
|
252 |
} |
|
253 |
} |
|
254 |
|
|
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) { |
|
261 |
int i=_iim[item]; |
|
262 |
_data[i].prio=value; |
|
263 |
int p=_data[i].parent; |
|
264 |
|
|
265 |
if ( p!=-1 && _comp(value, _data[p].prio) ) { |
|
266 |
cut(i,p); |
|
267 |
cascade(p); |
|
268 |
} |
|
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) { |
|
280 |
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. |
|
292 |
State state(const Item &item) const { |
|
293 |
int i=_iim[item]; |
|
294 |
if( i>=0 ) { |
|
295 |
if ( _data[i].in ) i=0; |
|
296 |
else i=-2; |
|
297 |
} |
|
298 |
return State(i); |
|
299 |
} |
|
300 |
|
|
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. |
|
306 |
/// \param i The item. |
|
307 |
/// \param st The state. It should not be \c IN_HEAP. |
|
308 |
void state(const Item& i, State st) { |
|
309 |
switch (st) { |
|
310 |
case POST_HEAP: |
|
311 |
case PRE_HEAP: |
|
312 |
if (state(i) == IN_HEAP) { |
|
313 |
erase(i); |
|
314 |
} |
|
315 |
_iim[i] = st; |
|
316 |
break; |
|
317 |
case IN_HEAP: |
|
318 |
break; |
|
319 |
} |
|
320 |
} |
|
321 |
|
|
322 |
private: |
|
323 |
|
|
324 |
void balance() { |
|
325 |
|
|
326 |
int maxdeg=int( std::floor( 2.08*log(double(_data.size()))))+1; |
|
327 |
|
|
328 |
std::vector<int> A(maxdeg,-1); |
|
329 |
|
|
330 |
/* |
|
331 |
*Recall that now minimum does not point to the minimum prio element. |
|
332 |
*We set minimum to this during balance(). |
|
333 |
*/ |
|
334 |
int anchor=_data[_minimum].left_neighbor; |
|
335 |
int next=_minimum; |
|
336 |
bool end=false; |
|
337 |
|
|
338 |
do { |
|
339 |
int active=next; |
|
340 |
if ( anchor==active ) end=true; |
|
341 |
int d=_data[active].degree; |
|
342 |
next=_data[active].right_neighbor; |
|
343 |
|
|
344 |
while (A[d]!=-1) { |
|
345 |
if( _comp(_data[active].prio, _data[A[d]].prio) ) { |
|
346 |
fuse(active,A[d]); |
|
347 |
} else { |
|
348 |
fuse(A[d],active); |
|
349 |
active=A[d]; |
|
350 |
} |
|
351 |
A[d]=-1; |
|
352 |
++d; |
|
353 |
} |
|
354 |
A[d]=active; |
|
355 |
} while ( !end ); |
|
356 |
|
|
357 |
|
|
358 |
while ( _data[_minimum].parent >=0 ) |
|
359 |
_minimum=_data[_minimum].parent; |
|
360 |
int s=_minimum; |
|
361 |
int m=_minimum; |
|
362 |
do { |
|
363 |
if ( _comp(_data[s].prio, _data[_minimum].prio) ) _minimum=s; |
|
364 |
s=_data[s].right_neighbor; |
|
365 |
} while ( s != m ); |
|
366 |
} |
|
367 |
|
|
368 |
void makeroot(int c) { |
|
369 |
int s=c; |
|
370 |
do { |
|
371 |
_data[s].parent=-1; |
|
372 |
s=_data[s].right_neighbor; |
|
373 |
} while ( s != c ); |
|
374 |
} |
|
375 |
|
|
376 |
void cut(int a, int b) { |
|
377 |
/* |
|
378 |
*Replacing a from the children of b. |
|
379 |
*/ |
|
380 |
--_data[b].degree; |
|
381 |
|
|
382 |
if ( _data[b].degree !=0 ) { |
|
383 |
int child=_data[b].child; |
|
384 |
if ( child==a ) |
|
385 |
_data[b].child=_data[child].right_neighbor; |
|
386 |
unlace(a); |
|
387 |
} |
|
388 |
|
|
389 |
|
|
390 |
/*Lacing a to the roots.*/ |
|
391 |
int right=_data[_minimum].right_neighbor; |
|
392 |
_data[_minimum].right_neighbor=a; |
|
393 |
_data[a].left_neighbor=_minimum; |
|
394 |
_data[a].right_neighbor=right; |
|
395 |
_data[right].left_neighbor=a; |
|
396 |
|
|
397 |
_data[a].parent=-1; |
|
398 |
_data[a].marked=false; |
|
399 |
} |
|
400 |
|
|
401 |
void cascade(int a) { |
|
402 |
if ( _data[a].parent!=-1 ) { |
|
403 |
int p=_data[a].parent; |
|
404 |
|
|
405 |
if ( _data[a].marked==false ) _data[a].marked=true; |
|
406 |
else { |
|
407 |
cut(a,p); |
|
408 |
cascade(p); |
|
409 |
} |
|
410 |
} |
|
411 |
} |
|
412 |
|
|
413 |
void fuse(int a, int b) { |
|
414 |
unlace(b); |
|
415 |
|
|
416 |
/*Lacing b under a.*/ |
|
417 |
_data[b].parent=a; |
|
418 |
|
|
419 |
if (_data[a].degree==0) { |
|
420 |
_data[b].left_neighbor=b; |
|
421 |
_data[b].right_neighbor=b; |
|
422 |
_data[a].child=b; |
|
423 |
} else { |
|
424 |
int child=_data[a].child; |
|
425 |
int last_child=_data[child].left_neighbor; |
|
426 |
_data[child].left_neighbor=b; |
|
427 |
_data[b].right_neighbor=child; |
|
428 |
_data[last_child].right_neighbor=b; |
|
429 |
_data[b].left_neighbor=last_child; |
|
430 |
} |
|
431 |
|
|
432 |
++_data[a].degree; |
|
433 |
|
|
434 |
_data[b].marked=false; |
|
435 |
} |
|
436 |
|
|
437 |
/* |
|
438 |
*It is invoked only if a has siblings. |
|
439 |
*/ |
|
440 |
void unlace(int a) { |
|
441 |
int leftn=_data[a].left_neighbor; |
|
442 |
int rightn=_data[a].right_neighbor; |
|
443 |
_data[leftn].right_neighbor=rightn; |
|
444 |
_data[rightn].left_neighbor=leftn; |
|
445 |
} |
|
446 |
|
|
447 |
|
|
448 |
class Store { |
|
449 |
friend class FibHeap; |
|
450 |
|
|
451 |
Item name; |
|
452 |
int parent; |
|
453 |
int left_neighbor; |
|
454 |
int right_neighbor; |
|
455 |
int child; |
|
456 |
int degree; |
|
457 |
bool marked; |
|
458 |
bool in; |
|
459 |
Prio prio; |
|
460 |
|
|
461 |
Store() : parent(-1), child(-1), degree(), marked(false), in(true) {} |
|
462 |
}; |
|
463 |
}; |
|
464 |
|
|
465 |
} //namespace lemon |
|
466 |
|
|
467 |
#endif //LEMON_FIB_HEAP_H |
|
468 |
1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
|
2 |
* |
|
3 |
* This file is a part of LEMON, a generic C++ optimization library. |
|
4 |
* |
|
5 |
* Copyright (C) 2003-2009 |
|
6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
|
7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
|
8 |
* |
|
9 |
* Permission to use, modify and distribute this software is granted |
|
10 |
* provided that this copyright notice appears in all copies. For |
|
11 |
* precise terms see the accompanying LICENSE file. |
|
12 |
* |
|
13 |
* This software is provided "AS IS" with no warranty of any kind, |
|
14 |
* express or implied, and with no claim as to its suitability for any |
|
15 |
* purpose. |
|
16 |
* |
|
17 |
*/ |
|
18 |
|
|
19 |
#ifndef LEMON_RADIX_HEAP_H |
|
20 |
#define LEMON_RADIX_HEAP_H |
|
21 |
|
|
22 |
///\ingroup auxdat |
|
23 |
///\file |
|
24 |
///\brief Radix Heap implementation. |
|
25 |
|
|
26 |
#include <vector> |
|
27 |
#include <lemon/error.h> |
|
28 |
|
|
29 |
namespace lemon { |
|
30 |
|
|
31 |
|
|
32 |
/// \ingroup auxdata |
|
33 |
/// |
|
34 |
/// \brief A Radix Heap implementation. |
|
35 |
/// |
|
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. |
|
43 |
/// |
|
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 |
|
49 |
template <typename IM> |
|
50 |
class RadixHeap { |
|
51 |
|
|
52 |
public: |
|
53 |
typedef typename IM::Key Item; |
|
54 |
typedef int Prio; |
|
55 |
typedef IM ItemIntMap; |
|
56 |
|
|
57 |
/// \brief Exception thrown by RadixHeap. |
|
58 |
/// |
|
59 |
/// This Exception is thrown when a smaller priority |
|
60 |
/// is inserted into the \e RadixHeap then the last time erased. |
|
61 |
/// \see RadixHeap |
|
62 |
|
|
63 |
class UnderFlowPriorityError : public Exception { |
|
64 |
public: |
|
65 |
virtual const char* what() const throw() { |
|
66 |
return "lemon::RadixHeap::UnderFlowPriorityError"; |
|
67 |
} |
|
68 |
}; |
|
69 |
|
|
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 |
|
74 |
/// heap's point of view, but may be useful to the user. |
|
75 |
/// |
|
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... |
|
78 |
enum State { |
|
79 |
IN_HEAP = 0, |
|
80 |
PRE_HEAP = -1, |
|
81 |
POST_HEAP = -2 |
|
82 |
}; |
|
83 |
|
|
84 |
private: |
|
85 |
|
|
86 |
struct RadixItem { |
|
87 |
int prev, next, box; |
|
88 |
Item item; |
|
89 |
int prio; |
|
90 |
RadixItem(Item _item, int _prio) : item(_item), prio(_prio) {} |
|
91 |
}; |
|
92 |
|
|
93 |
struct RadixBox { |
|
94 |
int first; |
|
95 |
int min, size; |
|
96 |
RadixBox(int _min, int _size) : first(-1), min(_min), size(_size) {} |
|
97 |
}; |
|
98 |
|
|
99 |
std::vector<RadixItem> data; |
|
100 |
std::vector<RadixBox> boxes; |
|
101 |
|
|
102 |
ItemIntMap &_iim; |
|
103 |
|
|
104 |
|
|
105 |
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)) { |
|
121 |
extend(); |
|
122 |
} |
|
123 |
} |
|
124 |
|
|
125 |
/// The number of items stored in the heap. |
|
126 |
/// |
|
127 |
/// \brief Returns the number of items stored in the heap. |
|
128 |
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. |
|
132 |
bool empty() const { return data.empty(); } |
|
133 |
|
|
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) { |
|
141 |
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)) { |
|
145 |
extend(); |
|
146 |
} |
|
147 |
} |
|
148 |
|
|
149 |
private: |
|
150 |
|
|
151 |
bool upper(int box, Prio pr) { |
|
152 |
return pr < boxes[box].min; |
|
153 |
} |
|
154 |
|
|
155 |
bool lower(int box, Prio pr) { |
|
156 |
return pr >= boxes[box].min + boxes[box].size; |
|
157 |
} |
|
158 |
|
|
159 |
/// \brief Remove item from the box list. |
|
160 |
void remove(int index) { |
|
161 |
if (data[index].prev >= 0) { |
|
162 |
data[data[index].prev].next = data[index].next; |
|
163 |
} else { |
|
164 |
boxes[data[index].box].first = data[index].next; |
|
165 |
} |
|
166 |
if (data[index].next >= 0) { |
|
167 |
data[data[index].next].prev = data[index].prev; |
|
168 |
} |
|
169 |
} |
|
170 |
|
|
171 |
/// \brief Insert item into the box list. |
|
172 |
void insert(int box, int index) { |
|
173 |
if (boxes[box].first == -1) { |
|
174 |
boxes[box].first = index; |
|
175 |
data[index].next = data[index].prev = -1; |
|
176 |
} else { |
|
177 |
data[index].next = boxes[box].first; |
|
178 |
data[boxes[box].first].prev = index; |
|
179 |
data[index].prev = -1; |
|
180 |
boxes[box].first = index; |
|
181 |
} |
|
182 |
data[index].box = box; |
|
183 |
} |
|
184 |
|
|
185 |
/// \brief Add a new box to the box list. |
|
186 |
void extend() { |
|
187 |
int min = boxes.back().min + boxes.back().size; |
|
188 |
int bs = 2 * boxes.back().size; |
|
189 |
boxes.push_back(RadixBox(min, bs)); |
|
190 |
} |
|
191 |
|
|
192 |
/// \brief Move an item up into the proper box. |
|
193 |
void bubble_up(int index) { |
|
194 |
if (!lower(data[index].box, data[index].prio)) return; |
|
195 |
remove(index); |
|
196 |
int box = findUp(data[index].box, data[index].prio); |
|
197 |
insert(box, index); |
|
198 |
} |
|
199 |
|
|
200 |
/// \brief Find up the proper box for the item with the given prio. |
|
201 |
int findUp(int start, int pr) { |
|
202 |
while (lower(start, pr)) { |
|
203 |
if (++start == int(boxes.size())) { |
|
204 |
extend(); |
|
205 |
} |
|
206 |
} |
|
207 |
return start; |
|
208 |
} |
|
209 |
|
|
210 |
/// \brief Move an item down into the proper box. |
|
211 |
void bubble_down(int index) { |
|
212 |
if (!upper(data[index].box, data[index].prio)) return; |
|
213 |
remove(index); |
|
214 |
int box = findDown(data[index].box, data[index].prio); |
|
215 |
insert(box, index); |
|
216 |
} |
|
217 |
|
|
218 |
/// \brief Find up the proper box for the item with the given prio. |
|
219 |
int findDown(int start, int pr) { |
|
220 |
while (upper(start, pr)) { |
|
221 |
if (--start < 0) throw UnderFlowPriorityError(); |
|
222 |
} |
|
223 |
return start; |
|
224 |
} |
|
225 |
|
|
226 |
/// \brief Find the first not empty box. |
|
227 |
int findFirst() { |
|
228 |
int first = 0; |
|
229 |
while (boxes[first].first == -1) ++first; |
|
230 |
return first; |
|
231 |
} |
|
232 |
|
|
233 |
/// \brief Gives back the minimal prio of the box. |
|
234 |
int minValue(int box) { |
|
235 |
int min = data[boxes[box].first].prio; |
|
236 |
for (int k = boxes[box].first; k != -1; k = data[k].next) { |
|
237 |
if (data[k].prio < min) min = data[k].prio; |
|
238 |
} |
|
239 |
return min; |
|
240 |
} |
|
241 |
|
|
242 |
/// \brief Rearrange the items of the heap and makes the |
|
243 |
/// first box not empty. |
|
244 |
void moveDown() { |
|
245 |
int box = findFirst(); |
|
246 |
if (box == 0) return; |
|
247 |
int min = minValue(box); |
|
248 |
for (int i = 0; i <= box; ++i) { |
|
249 |
boxes[i].min = min; |
|
250 |
min += boxes[i].size; |
|
251 |
} |
|
252 |
int curr = boxes[box].first, next; |
|
253 |
while (curr != -1) { |
|
254 |
next = data[curr].next; |
|
255 |
bubble_down(curr); |
|
256 |
curr = next; |
|
257 |
} |
|
258 |
} |
|
259 |
|
|
260 |
void relocate_last(int index) { |
|
261 |
if (index != int(data.size()) - 1) { |
|
262 |
data[index] = data.back(); |
|
263 |
if (data[index].prev != -1) { |
|
264 |
data[data[index].prev].next = index; |
|
265 |
} else { |
|
266 |
boxes[data[index].box].first = index; |
|
267 |
} |
|
268 |
if (data[index].next != -1) { |
|
269 |
data[data[index].next].prev = index; |
|
270 |
} |
|
271 |
_iim[data[index].item] = index; |
|
272 |
} |
|
273 |
data.pop_back(); |
|
274 |
} |
|
275 |
|
|
276 |
public: |
|
277 |
|
|
278 |
/// \brief Insert an item into the heap with the given priority. |
|
279 |
/// |
|
280 |
/// Adds \c i to the heap with priority \c p. |
|
281 |
/// \param i The item to insert. |
|
282 |
/// \param p The priority of the item. |
|
283 |
void push(const Item &i, const Prio &p) { |
|
284 |
int n = data.size(); |
|
285 |
_iim.set(i, n); |
|
286 |
data.push_back(RadixItem(i, p)); |
|
287 |
while (lower(boxes.size() - 1, p)) { |
|
288 |
extend(); |
|
289 |
} |
|
290 |
int box = findDown(boxes.size() - 1, p); |
|
291 |
insert(box, n); |
|
292 |
} |
|
293 |
|
|
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. |
|
298 |
Item top() const { |
|
299 |
const_cast<RadixHeap<ItemIntMap>&>(*this).moveDown(); |
|
300 |
return data[boxes[0].first].item; |
|
301 |
} |
|
302 |
|
|
303 |
/// \brief Returns the minimum priority. |
|
304 |
/// |
|
305 |
/// It returns the minimum priority. |
|
306 |
/// \pre The heap must be nonempty. |
|
307 |
Prio prio() const { |
|
308 |
const_cast<RadixHeap<ItemIntMap>&>(*this).moveDown(); |
|
309 |
return data[boxes[0].first].prio; |
|
310 |
} |
|
311 |
|
|
312 |
/// \brief Deletes the item with minimum priority. |
|
313 |
/// |
|
314 |
/// This method deletes the item with minimum priority. |
|
315 |
/// \pre The heap must be non-empty. |
|
316 |
void pop() { |
|
317 |
moveDown(); |
|
318 |
int index = boxes[0].first; |
|
319 |
_iim[data[index].item] = POST_HEAP; |
|
320 |
remove(index); |
|
321 |
relocate_last(index); |
|
322 |
} |
|
323 |
|
|
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. |
|
329 |
void erase(const Item &i) { |
|
330 |
int index = _iim[i]; |
|
331 |
_iim[i] = POST_HEAP; |
|
332 |
remove(index); |
|
333 |
relocate_last(index); |
|
334 |
} |
|
335 |
|
|
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. |
|
341 |
Prio operator[](const Item &i) const { |
|
342 |
int idx = _iim[i]; |
|
343 |
return data[idx].prio; |
|
344 |
} |
|
345 |
|
|
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. |
|
352 |
/// \param i The item. |
|
353 |
/// \param p The priority. |
|
354 |
void set(const Item &i, const Prio &p) { |
|
355 |
int idx = _iim[i]; |
|
356 |
if( idx < 0 ) { |
|
357 |
push(i, p); |
|
358 |
} |
|
359 |
else if( p >= data[idx].prio ) { |
|
360 |
data[idx].prio = p; |
|
361 |
bubble_up(idx); |
|
362 |
} else { |
|
363 |
data[idx].prio = p; |
|
364 |
bubble_down(idx); |
|
365 |
} |
|
366 |
} |
|
367 |
|
|
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 |
/// \param i The item. |
|
375 |
/// \param p The priority. |
|
376 |
void decrease(const Item &i, const Prio &p) { |
|
377 |
int idx = _iim[i]; |
|
378 |
data[idx].prio = p; |
|
379 |
bubble_down(idx); |
|
380 |
} |
|
381 |
|
|
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 |
|
386 |
/// \param i The item. |
|
387 |
/// \param p The priority. |
|
388 |
void increase(const Item &i, const Prio &p) { |
|
389 |
int idx = _iim[i]; |
|
390 |
data[idx].prio = p; |
|
391 |
bubble_up(idx); |
|
392 |
} |
|
393 |
|
|
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. |
|
401 |
/// \param i The item. |
|
402 |
State state(const Item &i) const { |
|
403 |
int s = _iim[i]; |
|
404 |
if( s >= 0 ) s = 0; |
|
405 |
return State(s); |
|
406 |
} |
|
407 |
|
|
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 |
/// \param i The item. |
|
414 |
/// \param st The state. It should not be \c IN_HEAP. |
|
415 |
void state(const Item& i, State st) { |
|
416 |
switch (st) { |
|
417 |
case POST_HEAP: |
|
418 |
case PRE_HEAP: |
|
419 |
if (state(i) == IN_HEAP) { |
|
420 |
erase(i); |
|
421 |
} |
|
422 |
_iim[i] = st; |
|
423 |
break; |
|
424 |
case IN_HEAP: |
|
425 |
break; |
|
426 |
} |
|
427 |
} |
|
428 |
|
|
429 |
}; // class RadixHeap |
|
430 |
|
|
431 |
} // namespace lemon |
|
432 |
|
|
433 |
#endif // LEMON_RADIX_HEAP_H |
... | ... |
@@ -54,16 +54,17 @@ |
54 | 54 |
endif |
55 | 55 |
|
56 | 56 |
lemon_HEADERS += \ |
57 | 57 |
lemon/adaptors.h \ |
58 | 58 |
lemon/arg_parser.h \ |
59 | 59 |
lemon/assert.h \ |
60 | 60 |
lemon/bfs.h \ |
61 | 61 |
lemon/bin_heap.h \ |
62 |
lemon/bucket_heap.h \ |
|
62 | 63 |
lemon/cbc.h \ |
63 | 64 |
lemon/circulation.h \ |
64 | 65 |
lemon/clp.h \ |
65 | 66 |
lemon/color.h \ |
66 | 67 |
lemon/concept_check.h \ |
67 | 68 |
lemon/connectivity.h \ |
68 | 69 |
lemon/counter.h \ |
69 | 70 |
lemon/core.h \ |
... | ... |
@@ -71,16 +72,17 @@ |
71 | 72 |
lemon/dfs.h \ |
72 | 73 |
lemon/dijkstra.h \ |
73 | 74 |
lemon/dim2.h \ |
74 | 75 |
lemon/dimacs.h \ |
75 | 76 |
lemon/edge_set.h \ |
76 | 77 |
lemon/elevator.h \ |
77 | 78 |
lemon/error.h \ |
78 | 79 |
lemon/euler.h \ |
80 |
lemon/fib_heap.h \ |
|
79 | 81 |
lemon/full_graph.h \ |
80 | 82 |
lemon/glpk.h \ |
81 | 83 |
lemon/gomory_hu.h \ |
82 | 84 |
lemon/graph_to_eps.h \ |
83 | 85 |
lemon/grid_graph.h \ |
84 | 86 |
lemon/hypercube_graph.h \ |
85 | 87 |
lemon/kruskal.h \ |
86 | 88 |
lemon/hao_orlin.h \ |
... | ... |
@@ -93,16 +95,17 @@ |
93 | 95 |
lemon/maps.h \ |
94 | 96 |
lemon/matching.h \ |
95 | 97 |
lemon/math.h \ |
96 | 98 |
lemon/min_cost_arborescence.h \ |
97 | 99 |
lemon/nauty_reader.h \ |
98 | 100 |
lemon/network_simplex.h \ |
99 | 101 |
lemon/path.h \ |
100 | 102 |
lemon/preflow.h \ |
103 |
lemon/radix_heap.h \ |
|
101 | 104 |
lemon/radix_sort.h \ |
102 | 105 |
lemon/random.h \ |
103 | 106 |
lemon/smart_graph.h \ |
104 | 107 |
lemon/soplex.h \ |
105 | 108 |
lemon/suurballe.h \ |
106 | 109 |
lemon/time_measure.h \ |
107 | 110 |
lemon/tolerance.h \ |
108 | 111 |
lemon/unionfind.h \ |
... | ... |
@@ -32,42 +32,42 @@ |
32 | 32 |
///\ingroup auxdat |
33 | 33 |
/// |
34 | 34 |
///\brief A Binary Heap implementation. |
35 | 35 |
/// |
36 | 36 |
///This class implements the \e binary \e heap data structure. |
37 | 37 |
/// |
38 | 38 |
///A \e heap is a data structure for storing items with specified values |
39 | 39 |
///called \e priorities in such a way that finding the item with minimum |
40 |
///priority is efficient. \c |
|
40 |
///priority is efficient. \c CMP specifies the ordering of the priorities. |
|
41 | 41 |
///In a heap one can change the priority of an item, add or erase an |
42 | 42 |
///item, etc. |
43 | 43 |
/// |
44 | 44 |
///\tparam PR Type of the priority of the items. |
45 | 45 |
///\tparam IM A read and writable item map with int values, used internally |
46 | 46 |
///to handle the cross references. |
47 |
///\tparam |
|
47 |
///\tparam CMP A functor class for the ordering of the priorities. |
|
48 | 48 |
///The default is \c std::less<PR>. |
49 | 49 |
/// |
50 | 50 |
///\sa FibHeap |
51 | 51 |
///\sa Dijkstra |
52 |
template <typename PR, typename IM, typename |
|
52 |
template <typename PR, typename IM, typename CMP = std::less<PR> > |
|
53 | 53 |
class BinHeap { |
54 | 54 |
|
55 | 55 |
public: |
56 | 56 |
///\e |
57 | 57 |
typedef IM ItemIntMap; |
58 | 58 |
///\e |
59 | 59 |
typedef PR Prio; |
60 | 60 |
///\e |
61 | 61 |
typedef typename ItemIntMap::Key Item; |
62 | 62 |
///\e |
63 | 63 |
typedef std::pair<Item,Prio> Pair; |
64 | 64 |
///\e |
65 |
typedef |
|
65 |
typedef CMP Compare; |
|
66 | 66 |
|
67 | 67 |
/// \brief Type to represent the items states. |
68 | 68 |
/// |
69 | 69 |
/// Each Item element have a state associated to it. It may be "in heap", |
70 | 70 |
/// "pre heap" or "post heap". The latter two are indifferent from the |
71 | 71 |
/// heap's point of view, but may be useful to the user. |
72 | 72 |
/// |
73 | 73 |
/// The item-int map must be initialized in such way that it assigns |
... | ... |
@@ -44,16 +44,18 @@ |
44 | 44 |
typedef MapExtender Map; |
45 | 45 |
typedef typename Parent::Key Item; |
46 | 46 |
|
47 | 47 |
typedef typename Parent::Key Key; |
48 | 48 |
typedef typename Parent::Value Value; |
49 | 49 |
typedef typename Parent::Reference Reference; |
50 | 50 |
typedef typename Parent::ConstReference ConstReference; |
51 | 51 |
|
52 |
typedef typename Parent::ReferenceMapTag ReferenceMapTag; |
|
53 |
|
|
52 | 54 |
class MapIt; |
53 | 55 |
class ConstMapIt; |
54 | 56 |
|
55 | 57 |
friend class MapIt; |
56 | 58 |
friend class ConstMapIt; |
57 | 59 |
|
58 | 60 |
public: |
59 | 61 |
|
... | ... |
@@ -77,103 +79,103 @@ |
77 | 79 |
public: |
78 | 80 |
class MapIt : public Item { |
79 | 81 |
typedef Item Parent; |
80 | 82 |
|
81 | 83 |
public: |
82 | 84 |
|
83 | 85 |
typedef typename Map::Value Value; |
84 | 86 |
|
85 |
MapIt() {} |
|
87 |
MapIt() : map(NULL) {} |
|
86 | 88 |
|
87 |
MapIt(Invalid i) : Parent(i) { |
|
89 |
MapIt(Invalid i) : Parent(i), map(NULL) {} |
|
88 | 90 |
|
89 |
explicit MapIt(Map& _map) : map(_map) { |
|
90 |
map.notifier()->first(*this); |
|
91 |
explicit MapIt(Map& _map) : map(&_map) { |
|
92 |
map->notifier()->first(*this); |
|
91 | 93 |
} |
92 | 94 |
|
93 | 95 |
MapIt(const Map& _map, const Item& item) |
94 |
: Parent(item), map(_map) {} |
|
96 |
: Parent(item), map(&_map) {} |
|
95 | 97 |
|
96 | 98 |
MapIt& operator++() { |
97 |
map |
|
99 |
map->notifier()->next(*this); |
|
98 | 100 |
return *this; |
99 | 101 |
} |
100 | 102 |
|
101 | 103 |
typename MapTraits<Map>::ConstReturnValue operator*() const { |
102 |
return map[*this]; |
|
104 |
return (*map)[*this]; |
|
103 | 105 |
} |
104 | 106 |
|
105 | 107 |
typename MapTraits<Map>::ReturnValue operator*() { |
106 |
return map[*this]; |
|
108 |
return (*map)[*this]; |
|
107 | 109 |
} |
108 | 110 |
|
109 | 111 |
void set(const Value& value) { |
110 |
map |
|
112 |
map->set(*this, value); |
|
111 | 113 |
} |
112 | 114 |
|
113 | 115 |
protected: |
114 |
Map |
|
116 |
Map* map; |
|
115 | 117 |
|
116 | 118 |
}; |
117 | 119 |
|
118 | 120 |
class ConstMapIt : public Item { |
119 | 121 |
typedef Item Parent; |
120 | 122 |
|
121 | 123 |
public: |
122 | 124 |
|
123 | 125 |
typedef typename Map::Value Value; |
124 | 126 |
|
125 |
ConstMapIt() {} |
|
127 |
ConstMapIt() : map(NULL) {} |
|
126 | 128 |
|
127 |
ConstMapIt(Invalid i) : Parent(i) { |
|
129 |
ConstMapIt(Invalid i) : Parent(i), map(NULL) {} |
|
128 | 130 |
|
129 |
explicit ConstMapIt(Map& _map) : map(_map) { |
|
130 |
map.notifier()->first(*this); |
|
131 |
explicit ConstMapIt(Map& _map) : map(&_map) { |
|
132 |
map->notifier()->first(*this); |
|
131 | 133 |
} |
132 | 134 |
|
133 | 135 |
ConstMapIt(const Map& _map, const Item& item) |
134 | 136 |
: Parent(item), map(_map) {} |
135 | 137 |
|
136 | 138 |
ConstMapIt& operator++() { |
137 |
map |
|
139 |
map->notifier()->next(*this); |
|
138 | 140 |
return *this; |
139 | 141 |
} |
140 | 142 |
|
141 | 143 |
typename MapTraits<Map>::ConstReturnValue operator*() const { |
142 | 144 |
return map[*this]; |
143 | 145 |
} |
144 | 146 |
|
145 | 147 |
protected: |
146 |
const Map |
|
148 |
const Map* map; |
|
147 | 149 |
}; |
148 | 150 |
|
149 | 151 |
class ItemIt : public Item { |
150 | 152 |
typedef Item Parent; |
151 | 153 |
|
152 | 154 |
public: |
155 |
ItemIt() : map(NULL) {} |
|
153 | 156 |
|
154 |
ItemIt() {} |
|
155 | 157 |
|
156 |
ItemIt(Invalid i) : Parent(i) { |
|
158 |
ItemIt(Invalid i) : Parent(i), map(NULL) {} |
|
157 | 159 |
|
158 |
explicit ItemIt(Map& _map) : map(_map) { |
|
159 |
map.notifier()->first(*this); |
|
160 |
explicit ItemIt(Map& _map) : map(&_map) { |
|
161 |
map->notifier()->first(*this); |
|
160 | 162 |
} |
161 | 163 |
|
162 | 164 |
ItemIt(const Map& _map, const Item& item) |
163 |
: Parent(item), map(_map) {} |
|
165 |
: Parent(item), map(&_map) {} |
|
164 | 166 |
|
165 | 167 |
ItemIt& operator++() { |
166 |
map |
|
168 |
map->notifier()->next(*this); |
|
167 | 169 |
return *this; |
168 | 170 |
} |
169 | 171 |
|
170 | 172 |
protected: |
171 |
const Map |
|
173 |
const Map* map; |
|
172 | 174 |
|
173 | 175 |
}; |
174 | 176 |
}; |
175 | 177 |
|
176 | 178 |
// \ingroup graphbits |
177 | 179 |
// |
178 | 180 |
// \brief Extender for maps which use a subset of the items. |
179 | 181 |
template <typename _Graph, typename _Map> |
... | ... |
@@ -186,16 +188,18 @@ |
186 | 188 |
typedef SubMapExtender Map; |
187 | 189 |
typedef typename Parent::Key Item; |
188 | 190 |
|
189 | 191 |
typedef typename Parent::Key Key; |
190 | 192 |
typedef typename Parent::Value Value; |
191 | 193 |
typedef typename Parent::Reference Reference; |
192 | 194 |
typedef typename Parent::ConstReference ConstReference; |
193 | 195 |
|
196 |
typedef typename Parent::ReferenceMapTag ReferenceMapTag; |
|
197 |
|
|
194 | 198 |
class MapIt; |
195 | 199 |
class ConstMapIt; |
196 | 200 |
|
197 | 201 |
friend class MapIt; |
198 | 202 |
friend class ConstMapIt; |
199 | 203 |
|
200 | 204 |
public: |
201 | 205 |
|
... | ... |
@@ -222,103 +226,103 @@ |
222 | 226 |
|
223 | 227 |
public: |
224 | 228 |
class MapIt : public Item { |
225 | 229 |
typedef Item Parent; |
226 | 230 |
|
227 | 231 |
public: |
228 | 232 |
typedef typename Map::Value Value; |
229 | 233 |
|
230 |
MapIt() {} |
|
234 |
MapIt() : map(NULL) {} |
|
231 | 235 |
|
232 |
MapIt(Invalid i) : Parent(i) { } |
|
236 |
MapIt(Invalid i) : Parent(i), map(NULL) { } |
|
233 | 237 |
|
234 |
explicit MapIt(Map& _map) : map(_map) { |
|
235 |
map.graph.first(*this); |
|
238 |
explicit MapIt(Map& _map) : map(&_map) { |
|
239 |
map->graph.first(*this); |
|
236 | 240 |
} |
237 | 241 |
|
238 | 242 |
MapIt(const Map& _map, const Item& item) |
239 |
: Parent(item), map(_map) {} |
|
243 |
: Parent(item), map(&_map) {} |
|
240 | 244 |
|
241 | 245 |
MapIt& operator++() { |
242 |
map |
|
246 |
map->graph.next(*this); |
|
243 | 247 |
return *this; |
244 | 248 |
} |
245 | 249 |
|
246 | 250 |
typename MapTraits<Map>::ConstReturnValue operator*() const { |
247 |
return map[*this]; |
|
251 |
return (*map)[*this]; |
|
248 | 252 |
} |
249 | 253 |
|
250 | 254 |
typename MapTraits<Map>::ReturnValue operator*() { |
251 |
return map[*this]; |
|
255 |
return (*map)[*this]; |
|
252 | 256 |
} |
253 | 257 |
|
254 | 258 |
void set(const Value& value) { |
255 |
map |
|
259 |
map->set(*this, value); |
|
256 | 260 |
} |
257 | 261 |
|
258 | 262 |
protected: |
259 |
Map |
|
263 |
Map* map; |
|
260 | 264 |
|
261 | 265 |
}; |
262 | 266 |
|
263 | 267 |
class ConstMapIt : public Item { |
264 | 268 |
typedef Item Parent; |
265 | 269 |
|
266 | 270 |
public: |
267 | 271 |
|
268 | 272 |
typedef typename Map::Value Value; |
269 | 273 |
|
270 |
ConstMapIt() {} |
|
274 |
ConstMapIt() : map(NULL) {} |
|
271 | 275 |
|
272 |
ConstMapIt(Invalid i) : Parent(i) { } |
|
276 |
ConstMapIt(Invalid i) : Parent(i), map(NULL) { } |
|
273 | 277 |
|
274 |
explicit ConstMapIt(Map& _map) : map(_map) { |
|
275 |
map.graph.first(*this); |
|
278 |
explicit ConstMapIt(Map& _map) : map(&_map) { |
|
279 |
map->graph.first(*this); |
|
276 | 280 |
} |
277 | 281 |
|
278 | 282 |
ConstMapIt(const Map& _map, const Item& item) |
279 |
: Parent(item), map(_map) {} |
|
283 |
: Parent(item), map(&_map) {} |
|
280 | 284 |
|
281 | 285 |
ConstMapIt& operator++() { |
282 |
map |
|
286 |
map->graph.next(*this); |
|
283 | 287 |
return *this; |
284 | 288 |
} |
285 | 289 |
|
286 | 290 |
typename MapTraits<Map>::ConstReturnValue operator*() const { |
287 |
return map[*this]; |
|
291 |
return (*map)[*this]; |
|
288 | 292 |
} |
289 | 293 |
|
290 | 294 |
protected: |
291 |
const Map |
|
295 |
const Map* map; |
|
292 | 296 |
}; |
293 | 297 |
|
294 | 298 |
class ItemIt : public Item { |
295 | 299 |
typedef Item Parent; |
296 | 300 |
|
297 | 301 |
public: |
302 |
ItemIt() : map(NULL) {} |
|
298 | 303 |
|
299 |
ItemIt() {} |
|
300 | 304 |
|
301 |
ItemIt(Invalid i) : Parent(i) { } |
|
305 |
ItemIt(Invalid i) : Parent(i), map(NULL) { } |
|
302 | 306 |
|
303 |
explicit ItemIt(Map& _map) : map(_map) { |
|
304 |
map.graph.first(*this); |
|
307 |
explicit ItemIt(Map& _map) : map(&_map) { |
|
308 |
map->graph.first(*this); |
|
305 | 309 |
} |
306 | 310 |
|
307 | 311 |
ItemIt(const Map& _map, const Item& item) |
308 |
: Parent(item), map(_map) {} |
|
312 |
: Parent(item), map(&_map) {} |
|
309 | 313 |
|
310 | 314 |
ItemIt& operator++() { |
311 |
map |
|
315 |
map->graph.next(*this); |
|
312 | 316 |
return *this; |
313 | 317 |
} |
314 | 318 |
|
315 | 319 |
protected: |
316 |
const Map |
|
320 |
const Map* map; |
|
317 | 321 |
|
318 | 322 |
}; |
319 | 323 |
|
320 | 324 |
private: |
321 | 325 |
|
322 | 326 |
const GraphType& graph; |
323 | 327 |
|
324 | 328 |
}; |
... | ... |
@@ -177,17 +177,18 @@ |
177 | 177 |
return *static_cast<Value *>(0); |
178 | 178 |
} |
179 | 179 |
|
180 | 180 |
/// Sets the value associated with the given key. |
181 | 181 |
void set(const Key &k,const Value &t) { operator[](k)=t; } |
182 | 182 |
|
183 | 183 |
template<typename _ReferenceMap> |
184 | 184 |
struct Constraints { |
185 |
|
|
185 |
typename enable_if<typename _ReferenceMap::ReferenceMapTag, void>::type |
|
186 |
constraints() { |
|
186 | 187 |
checkConcept<ReadWriteMap<K, T>, _ReferenceMap >(); |
187 | 188 |
ref = m[key]; |
188 | 189 |
m[key] = val; |
189 | 190 |
m[key] = ref; |
190 | 191 |
m[key] = cref; |
191 | 192 |
own_ref = m[own_key]; |
192 | 193 |
m[own_key] = own_val; |
193 | 194 |
m[own_key] = own_ref; |
... | ... |
@@ -26,16 +26,19 @@ |
26 | 26 |
|
27 | 27 |
#include <lemon/smart_graph.h> |
28 | 28 |
|
29 | 29 |
#include <lemon/lgf_reader.h> |
30 | 30 |
#include <lemon/dijkstra.h> |
31 | 31 |
#include <lemon/maps.h> |
32 | 32 |
|
33 | 33 |
#include <lemon/bin_heap.h> |
34 |
#include <lemon/fib_heap.h> |
|
35 |
#include <lemon/radix_heap.h> |
|
36 |
#include <lemon/bucket_heap.h> |
|
34 | 37 |
|
35 | 38 |
#include "test_tools.h" |
36 | 39 |
|
37 | 40 |
using namespace lemon; |
38 | 41 |
using namespace lemon::concepts; |
39 | 42 |
|
40 | 43 |
typedef ListDigraph Digraph; |
41 | 44 |
DIGRAPH_TYPEDEFS(Digraph); |
... | ... |
@@ -178,10 +181,44 @@ |
178 | 181 |
heapSortTest<IntHeap>(); |
179 | 182 |
heapIncreaseTest<IntHeap>(); |
180 | 183 |
|
181 | 184 |
typedef BinHeap<Prio, IntNodeMap > NodeHeap; |
182 | 185 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
183 | 186 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
184 | 187 |
} |
185 | 188 |
|
189 |
{ |
|
190 |
typedef FibHeap<Prio, ItemIntMap> IntHeap; |
|
191 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
|
192 |
heapSortTest<IntHeap>(); |
|
193 |
heapIncreaseTest<IntHeap>(); |
|
194 |
|
|
195 |
typedef FibHeap<Prio, IntNodeMap > NodeHeap; |
|
196 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
|
197 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
|
198 |
} |
|
199 |
|
|
200 |
{ |
|
201 |
typedef RadixHeap<ItemIntMap> IntHeap; |
|
202 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
|
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heapSortTest<IntHeap>(); |
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heapIncreaseTest<IntHeap>(); |
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|
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typedef RadixHeap<IntNodeMap > NodeHeap; |
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checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
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dijkstraHeapTest<NodeHeap>(digraph, length, source); |
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} |
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|
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{ |
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typedef BucketHeap<ItemIntMap> IntHeap; |
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checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
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heapSortTest<IntHeap>(); |
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heapIncreaseTest<IntHeap>(); |
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|
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typedef BucketHeap<IntNodeMap > NodeHeap; |
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checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
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dijkstraHeapTest<NodeHeap>(digraph, length, source); |
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} |
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|
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222 |
|
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186 | 223 |
return 0; |
187 | 224 |
} |
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