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/* -*- C++ -*- |
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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) 2003-2008 |
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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_BELLMAN_FORD_H |
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#define LEMON_BELLMAN_FORD_H |
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|
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/// \ingroup shortest_path |
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/// \file |
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/// \brief Bellman-Ford algorithm. |
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|
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#include <lemon/bits/path_dump.h> |
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#include <lemon/core.h> |
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#include <lemon/error.h> |
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#include <lemon/maps.h> |
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#include <lemon/path.h> |
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|
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#include <limits> |
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namespace lemon { |
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/// \brief Default OperationTraits for the BellmanFord algorithm class. |
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/// |
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/// This operation traits class defines all computational operations |
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/// and constants that are used in the Bellman-Ford algorithm. |
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/// The default implementation is based on the \c numeric_limits class. |
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/// If the numeric type does not have infinity value, then the maximum |
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/// value is used as extremal infinity value. |
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template < |
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typename V, |
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bool has_inf = std::numeric_limits<V>::has_infinity> |
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struct BellmanFordDefaultOperationTraits { |
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/// \e |
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typedef V Value; |
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/// \brief Gives back the zero value of the type. |
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static Value zero() { |
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return static_cast<Value>(0); |
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} |
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/// \brief Gives back the positive infinity value of the type. |
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static Value infinity() { |
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return std::numeric_limits<Value>::infinity(); |
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} |
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/// \brief Gives back the sum of the given two elements. |
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static Value plus(const Value& left, const Value& right) { |
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return left + right; |
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} |
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/// \brief Gives back \c true only if the first value is less than |
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/// the second. |
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static bool less(const Value& left, const Value& right) { |
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return left < right; |
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} |
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}; |
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|
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template <typename V> |
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struct BellmanFordDefaultOperationTraits<V, false> { |
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typedef V Value; |
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static Value zero() { |
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return static_cast<Value>(0); |
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} |
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static Value infinity() { |
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return std::numeric_limits<Value>::max(); |
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} |
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static Value plus(const Value& left, const Value& right) { |
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if (left == infinity() || right == infinity()) return infinity(); |
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return left + right; |
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} |
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static bool less(const Value& left, const Value& right) { |
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return left < right; |
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} |
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}; |
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|
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/// \brief Default traits class of BellmanFord class. |
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/// |
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/// Default traits class of BellmanFord class. |
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/// \param GR The type of the digraph. |
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/// \param LEN The type of the length map. |
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template<typename GR, typename LEN> |
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struct BellmanFordDefaultTraits { |
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/// The type of the digraph the algorithm runs on. |
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typedef GR Digraph; |
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|
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/// \brief The type of the map that stores the arc lengths. |
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/// |
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/// The type of the map that stores the arc lengths. |
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/// It must conform to the \ref concepts::ReadMap "ReadMap" concept. |
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typedef LEN LengthMap; |
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|
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/// The type of the arc lengths. |
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typedef typename LEN::Value Value; |
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|
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/// \brief Operation traits for Bellman-Ford algorithm. |
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/// |
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/// It defines the used operations and the infinity value for the |
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/// given \c Value type. |
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/// \see BellmanFordDefaultOperationTraits |
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typedef BellmanFordDefaultOperationTraits<Value> OperationTraits; |
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|
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/// \brief The type of the map that stores the last arcs of the |
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/// shortest paths. |
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/// |
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/// The type of the map that stores the last |
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/// arcs of the shortest paths. |
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/// It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
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typedef typename GR::template NodeMap<typename GR::Arc> PredMap; |
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|
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/// \brief Instantiates a \c PredMap. |
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/// |
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/// This function instantiates a \ref PredMap. |
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/// \param g is the digraph to which we would like to define the |
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/// \ref PredMap. |
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static PredMap *createPredMap(const GR& g) { |
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return new PredMap(g); |
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} |
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|
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/// \brief The type of the map that stores the distances of the nodes. |
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/// |
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/// The type of the map that stores the distances of the nodes. |
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/// It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
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typedef typename GR::template NodeMap<typename LEN::Value> DistMap; |
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|
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/// \brief Instantiates a \c DistMap. |
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/// |
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/// This function instantiates a \ref DistMap. |
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/// \param g is the digraph to which we would like to define the |
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/// \ref DistMap. |
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static DistMap *createDistMap(const GR& g) { |
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return new DistMap(g); |
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} |
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|
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}; |
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|
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/// \brief %BellmanFord algorithm class. |
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/// |
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/// \ingroup shortest_path |
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/// This class provides an efficient implementation of the Bellman-Ford |
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/// algorithm. The maximum time complexity of the algorithm is |
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/// <tt>O(ne)</tt>. |
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/// |
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/// The Bellman-Ford algorithm solves the single-source shortest path |
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/// problem when the arcs can have negative lengths, but the digraph |
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/// should not contain directed cycles with negative total length. |
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/// If all arc costs are non-negative, consider to use the Dijkstra |
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/// algorithm instead, since it is more efficient. |
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/// |
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/// The arc lengths are passed to the algorithm using a |
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/// \ref concepts::ReadMap "ReadMap", so it is easy to change it to any |
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/// kind of length. The type of the length values is determined by the |
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/// \ref concepts::ReadMap::Value "Value" type of the length map. |
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/// |
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/// There is also a \ref bellmanFord() "function-type interface" for the |
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/// Bellman-Ford algorithm, which is convenient in the simplier cases and |
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/// it can be used easier. |
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/// |
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/// \tparam GR The type of the digraph the algorithm runs on. |
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/// The default type is \ref ListDigraph. |
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/// \tparam LEN A \ref concepts::ReadMap "readable" arc map that specifies |
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/// the lengths of the arcs. The default map type is |
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/// \ref concepts::Digraph::ArcMap "GR::ArcMap<int>". |
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#ifdef DOXYGEN |
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template <typename GR, typename LEN, typename TR> |
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#else |
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template <typename GR=ListDigraph, |
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typename LEN=typename GR::template ArcMap<int>, |
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typename TR=BellmanFordDefaultTraits<GR,LEN> > |
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#endif |
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class BellmanFord { |
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public: |
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|
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///The type of the underlying digraph. |
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typedef typename TR::Digraph Digraph; |
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|
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/// \brief The type of the arc lengths. |
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typedef typename TR::LengthMap::Value Value; |
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/// \brief The type of the map that stores the arc lengths. |
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typedef typename TR::LengthMap LengthMap; |
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/// \brief The type of the map that stores the last |
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/// arcs of the shortest paths. |
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typedef typename TR::PredMap PredMap; |
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/// \brief The type of the map that stores the distances of the nodes. |
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typedef typename TR::DistMap DistMap; |
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/// The type of the paths. |
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typedef PredMapPath<Digraph, PredMap> Path; |
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///\brief The \ref BellmanFordDefaultOperationTraits |
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/// "operation traits class" of the algorithm. |
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typedef typename TR::OperationTraits OperationTraits; |
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|
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///The \ref BellmanFordDefaultTraits "traits class" of the algorithm. |
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typedef TR Traits; |
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private: |
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|
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typedef typename Digraph::Node Node; |
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typedef typename Digraph::NodeIt NodeIt; |
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typedef typename Digraph::Arc Arc; |
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typedef typename Digraph::OutArcIt OutArcIt; |
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|
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// Pointer to the underlying digraph. |
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const Digraph *_gr; |
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// Pointer to the length map |
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const LengthMap *_length; |
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// Pointer to the map of predecessors arcs. |
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PredMap *_pred; |
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// Indicates if _pred is locally allocated (true) or not. |
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bool _local_pred; |
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// Pointer to the map of distances. |
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DistMap *_dist; |
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// Indicates if _dist is locally allocated (true) or not. |
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bool _local_dist; |
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|
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typedef typename Digraph::template NodeMap<bool> MaskMap; |
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MaskMap *_mask; |
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std::vector<Node> _process; |
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|
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// Creates the maps if necessary. |
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void create_maps() { |
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if(!_pred) { |
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_local_pred = true; |
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_pred = Traits::createPredMap(*_gr); |
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} |
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if(!_dist) { |
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_local_dist = true; |
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_dist = Traits::createDistMap(*_gr); |
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} |
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_mask = new MaskMap(*_gr, false); |
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} |
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public : |
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typedef BellmanFord Create; |
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|
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/// \name Named Template Parameters |
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|
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///@{ |
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|
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template <class T> |
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struct SetPredMapTraits : public Traits { |
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typedef T PredMap; |
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static PredMap *createPredMap(const Digraph&) { |
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LEMON_ASSERT(false, "PredMap is not initialized"); |
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return 0; // ignore warnings |
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} |
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}; |
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|
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/// \brief \ref named-templ-param "Named parameter" for setting |
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/// \c PredMap type. |
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/// |
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/// \ref named-templ-param "Named parameter" for setting |
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/// \c PredMap type. |
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/// It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
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template <class T> |
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struct SetPredMap |
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: public BellmanFord< Digraph, LengthMap, SetPredMapTraits<T> > { |
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typedef BellmanFord< Digraph, LengthMap, SetPredMapTraits<T> > Create; |
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}; |
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|
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template <class T> |
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struct SetDistMapTraits : public Traits { |
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typedef T DistMap; |
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static DistMap *createDistMap(const Digraph&) { |
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LEMON_ASSERT(false, "DistMap is not initialized"); |
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return 0; // ignore warnings |
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} |
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}; |
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|
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/// \brief \ref named-templ-param "Named parameter" for setting |
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/// \c DistMap type. |
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/// |
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/// \ref named-templ-param "Named parameter" for setting |
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/// \c DistMap type. |
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/// It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
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template <class T> |
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struct SetDistMap |
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: public BellmanFord< Digraph, LengthMap, SetDistMapTraits<T> > { |
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typedef BellmanFord< Digraph, LengthMap, SetDistMapTraits<T> > Create; |
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}; |
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|
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template <class T> |
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struct SetOperationTraitsTraits : public Traits { |
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typedef T OperationTraits; |
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}; |
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|
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/// \brief \ref named-templ-param "Named parameter" for setting |
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/// \c OperationTraits type. |
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/// |
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/// \ref named-templ-param "Named parameter" for setting |
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/// \c OperationTraits type. |
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/// For more information see \ref BellmanFordDefaultOperationTraits. |
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template <class T> |
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struct SetOperationTraits |
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: public BellmanFord< Digraph, LengthMap, SetOperationTraitsTraits<T> > { |
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typedef BellmanFord< Digraph, LengthMap, SetOperationTraitsTraits<T> > |
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Create; |
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}; |
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|
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///@} |
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protected: |
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|
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BellmanFord() {} |
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|
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public: |
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|
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/// \brief Constructor. |
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/// |
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/// Constructor. |
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/// \param g The digraph the algorithm runs on. |
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/// \param length The length map used by the algorithm. |
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BellmanFord(const Digraph& g, const LengthMap& length) : |
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_gr(&g), _length(&length), |
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_pred(0), _local_pred(false), |
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_dist(0), _local_dist(false), _mask(0) {} |
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|
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///Destructor. |
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~BellmanFord() { |
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if(_local_pred) delete _pred; |
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if(_local_dist) delete _dist; |
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if(_mask) delete _mask; |
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} |
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|
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/// \brief Sets the length map. |
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/// |
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/// Sets the length map. |
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/// \return <tt>(*this)</tt> |
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BellmanFord &lengthMap(const LengthMap &map) { |
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_length = ↦ |
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return *this; |
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} |
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|
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/// \brief Sets the map that stores the predecessor arcs. |
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/// |
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/// Sets the map that stores the predecessor arcs. |
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/// If you don't use this function before calling \ref run() |
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/// or \ref init(), an instance will be allocated automatically. |
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/// The destructor deallocates this automatically allocated map, |
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/// of course. |
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/// \return <tt>(*this)</tt> |
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BellmanFord &predMap(PredMap &map) { |
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if(_local_pred) { |
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delete _pred; |
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_local_pred=false; |
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} |
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_pred = ↦ |
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return *this; |
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} |
|
360 |
|
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/// \brief Sets the map that stores the distances of the nodes. |
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/// |
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/// Sets the map that stores the distances of the nodes calculated |
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/// by the algorithm. |
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/// If you don't use this function before calling \ref run() |
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/// or \ref init(), an instance will be allocated automatically. |
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/// The destructor deallocates this automatically allocated map, |
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/// of course. |
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/// \return <tt>(*this)</tt> |
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BellmanFord &distMap(DistMap &map) { |
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371 |
if(_local_dist) { |
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delete _dist; |
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_local_dist=false; |
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374 |
} |
|
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_dist = ↦ |
|
376 |
return *this; |
|
377 |
} |
|
378 |
|
|
379 |
/// \name Execution Control |
|
380 |
/// The simplest way to execute the Bellman-Ford algorithm is to use |
|
381 |
/// one of the member functions called \ref run().\n |
|
382 |
/// If you need better control on the execution, you have to call |
|
383 |
/// \ref init() first, then you can add several source nodes |
|
384 |
/// with \ref addSource(). Finally the actual path computation can be |
|
385 |
/// performed with \ref start(), \ref checkedStart() or |
|
386 |
/// \ref limitedStart(). |
|
387 |
|
|
388 |
///@{ |
|
389 |
|
|
390 |
/// \brief Initializes the internal data structures. |
|
391 |
/// |
|
392 |
/// Initializes the internal data structures. The optional parameter |
|
393 |
/// is the initial distance of each node. |
|
394 |
void init(const Value value = OperationTraits::infinity()) { |
|
395 |
create_maps(); |
|
396 |
for (NodeIt it(*_gr); it != INVALID; ++it) { |
|
397 |
_pred->set(it, INVALID); |
|
398 |
_dist->set(it, value); |
|
399 |
} |
|
400 |
_process.clear(); |
|
401 |
if (OperationTraits::less(value, OperationTraits::infinity())) { |
|
402 |
for (NodeIt it(*_gr); it != INVALID; ++it) { |
|
403 |
_process.push_back(it); |
|
404 |
_mask->set(it, true); |
|
405 |
} |
|
406 |
} |
|
407 |
} |
|
408 |
|
|
409 |
/// \brief Adds a new source node. |
|
410 |
/// |
|
411 |
/// This function adds a new source node. The optional second parameter |
|
412 |
/// is the initial distance of the node. |
|
413 |
void addSource(Node source, Value dst = OperationTraits::zero()) { |
|
414 |
_dist->set(source, dst); |
|
415 |
if (!(*_mask)[source]) { |
|
416 |
_process.push_back(source); |
|
417 |
_mask->set(source, true); |
|
418 |
} |
|
419 |
} |
|
420 |
|
|
421 |
/// \brief Executes one round from the Bellman-Ford algorithm. |
|
422 |
/// |
|
423 |
/// If the algoritm calculated the distances in the previous round |
|
424 |
/// exactly for the paths of at most \c k arcs, then this function |
|
425 |
/// will calculate the distances exactly for the paths of at most |
|
426 |
/// <tt>k+1</tt> arcs. Performing \c k iterations using this function |
|
427 |
/// calculates the shortest path distances exactly for the paths |
|
428 |
/// consisting of at most \c k arcs. |
|
429 |
/// |
|
430 |
/// \warning The paths with limited arc number cannot be retrieved |
|
431 |
/// easily with \ref path() or \ref predArc() functions. If you also |
|
432 |
/// need the shortest paths and not only the distances, you should |
|
433 |
/// store the \ref predMap() "predecessor map" after each iteration |
|
434 |
/// and build the path manually. |
|
435 |
/// |
|
436 |
/// \return \c true when the algorithm have not found more shorter |
|
437 |
/// paths. |
|
438 |
/// |
|
439 |
/// \see ActiveIt |
|
440 |
bool processNextRound() { |
|
441 |
for (int i = 0; i < int(_process.size()); ++i) { |
|
442 |
_mask->set(_process[i], false); |
|
443 |
} |
|
444 |
std::vector<Node> nextProcess; |
|
445 |
std::vector<Value> values(_process.size()); |
|
446 |
for (int i = 0; i < int(_process.size()); ++i) { |
|
447 |
values[i] = (*_dist)[_process[i]]; |
|
448 |
} |
|
449 |
for (int i = 0; i < int(_process.size()); ++i) { |
|
450 |
for (OutArcIt it(*_gr, _process[i]); it != INVALID; ++it) { |
|
451 |
Node target = _gr->target(it); |
|
452 |
Value relaxed = OperationTraits::plus(values[i], (*_length)[it]); |
|
453 |
if (OperationTraits::less(relaxed, (*_dist)[target])) { |
|
454 |
_pred->set(target, it); |
|
455 |
_dist->set(target, relaxed); |
|
456 |
if (!(*_mask)[target]) { |
|
457 |
_mask->set(target, true); |
|
458 |
nextProcess.push_back(target); |
|
459 |
} |
|
460 |
} |
|
461 |
} |
|
462 |
} |
|
463 |
_process.swap(nextProcess); |
|
464 |
return _process.empty(); |
|
465 |
} |
|
466 |
|
|
467 |
/// \brief Executes one weak round from the Bellman-Ford algorithm. |
|
468 |
/// |
|
469 |
/// If the algorithm calculated the distances in the previous round |
|
470 |
/// at least for the paths of at most \c k arcs, then this function |
|
471 |
/// will calculate the distances at least for the paths of at most |
|
472 |
/// <tt>k+1</tt> arcs. |
|
473 |
/// This function does not make it possible to calculate the shortest |
|
474 |
/// path distances exactly for paths consisting of at most \c k arcs, |
|
475 |
/// this is why it is called weak round. |
|
476 |
/// |
|
477 |
/// \return \c true when the algorithm have not found more shorter |
|
478 |
/// paths. |
|
479 |
/// |
|
480 |
/// \see ActiveIt |
|
481 |
bool processNextWeakRound() { |
|
482 |
for (int i = 0; i < int(_process.size()); ++i) { |
|
483 |
_mask->set(_process[i], false); |
|
484 |
} |
|
485 |
std::vector<Node> nextProcess; |
|
486 |
for (int i = 0; i < int(_process.size()); ++i) { |
|
487 |
for (OutArcIt it(*_gr, _process[i]); it != INVALID; ++it) { |
|
488 |
Node target = _gr->target(it); |
|
489 |
Value relaxed = |
|
490 |
OperationTraits::plus((*_dist)[_process[i]], (*_length)[it]); |
|
491 |
if (OperationTraits::less(relaxed, (*_dist)[target])) { |
|
492 |
_pred->set(target, it); |
|
493 |
_dist->set(target, relaxed); |
|
494 |
if (!(*_mask)[target]) { |
|
495 |
_mask->set(target, true); |
|
496 |
nextProcess.push_back(target); |
|
497 |
} |
|
498 |
} |
|
499 |
} |
|
500 |
} |
|
501 |
_process.swap(nextProcess); |
|
502 |
return _process.empty(); |
|
503 |
} |
|
504 |
|
|
505 |
/// \brief Executes the algorithm. |
|
506 |
/// |
|
507 |
/// Executes the algorithm. |
|
508 |
/// |
|
509 |
/// This method runs the Bellman-Ford algorithm from the root node(s) |
|
510 |
/// in order to compute the shortest path to each node. |
|
511 |
/// |
|
512 |
/// The algorithm computes |
|
513 |
/// - the shortest path tree (forest), |
|
514 |
/// - the distance of each node from the root(s). |
|
515 |
/// |
|
516 |
/// \pre init() must be called and at least one root node should be |
|
517 |
/// added with addSource() before using this function. |
|
518 |
void start() { |
|
519 |
int num = countNodes(*_gr) - 1; |
|
520 |
for (int i = 0; i < num; ++i) { |
|
521 |
if (processNextWeakRound()) break; |
|
522 |
} |
|
523 |
} |
|
524 |
|
|
525 |
/// \brief Executes the algorithm and checks the negative cycles. |
|
526 |
/// |
|
527 |
/// Executes the algorithm and checks the negative cycles. |
|
528 |
/// |
|
529 |
/// This method runs the Bellman-Ford algorithm from the root node(s) |
|
530 |
/// in order to compute the shortest path to each node and also checks |
|
531 |
/// if the digraph contains cycles with negative total length. |
|
532 |
/// |
|
533 |
/// The algorithm computes |
|
534 |
/// - the shortest path tree (forest), |
|
535 |
/// - the distance of each node from the root(s). |
|
536 |
/// |
|
537 |
/// \return \c false if there is a negative cycle in the digraph. |
|
538 |
/// |
|
539 |
/// \pre init() must be called and at least one root node should be |
|
540 |
/// added with addSource() before using this function. |
|
541 |
bool checkedStart() { |
|
542 |
int num = countNodes(*_gr); |
|
543 |
for (int i = 0; i < num; ++i) { |
|
544 |
if (processNextWeakRound()) return true; |
|
545 |
} |
|
546 |
return _process.empty(); |
|
547 |
} |
|
548 |
|
|
549 |
/// \brief Executes the algorithm with arc number limit. |
|
550 |
/// |
|
551 |
/// Executes the algorithm with arc number limit. |
|
552 |
/// |
|
553 |
/// This method runs the Bellman-Ford algorithm from the root node(s) |
|
554 |
/// in order to compute the shortest path distance for each node |
|
555 |
/// using only the paths consisting of at most \c num arcs. |
|
556 |
/// |
|
557 |
/// The algorithm computes |
|
558 |
/// - the limited distance of each node from the root(s), |
|
559 |
/// - the predecessor arc for each node. |
|
560 |
/// |
|
561 |
/// \warning The paths with limited arc number cannot be retrieved |
|
562 |
/// easily with \ref path() or \ref predArc() functions. If you also |
|
563 |
/// need the shortest paths and not only the distances, you should |
|
564 |
/// store the \ref predMap() "predecessor map" after each iteration |
|
565 |
/// and build the path manually. |
|
566 |
/// |
|
567 |
/// \pre init() must be called and at least one root node should be |
|
568 |
/// added with addSource() before using this function. |
|
569 |
void limitedStart(int num) { |
|
570 |
for (int i = 0; i < num; ++i) { |
|
571 |
if (processNextRound()) break; |
|
572 |
} |
|
573 |
} |
|
574 |
|
|
575 |
/// \brief Runs the algorithm from the given root node. |
|
576 |
/// |
|
577 |
/// This method runs the Bellman-Ford algorithm from the given root |
|
578 |
/// node \c s in order to compute the shortest path to each node. |
|
579 |
/// |
|
580 |
/// The algorithm computes |
|
581 |
/// - the shortest path tree (forest), |
|
582 |
/// - the distance of each node from the root(s). |
|
583 |
/// |
|
584 |
/// \note bf.run(s) is just a shortcut of the following code. |
|
585 |
/// \code |
|
586 |
/// bf.init(); |
|
587 |
/// bf.addSource(s); |
|
588 |
/// bf.start(); |
|
589 |
/// \endcode |
|
590 |
void run(Node s) { |
|
591 |
init(); |
|
592 |
addSource(s); |
|
593 |
start(); |
|
594 |
} |
|
595 |
|
|
596 |
/// \brief Runs the algorithm from the given root node with arc |
|
597 |
/// number limit. |
|
598 |
/// |
|
599 |
/// This method runs the Bellman-Ford algorithm from the given root |
|
600 |
/// node \c s in order to compute the shortest path distance for each |
|
601 |
/// node using only the paths consisting of at most \c num arcs. |
|
602 |
/// |
|
603 |
/// The algorithm computes |
|
604 |
/// - the limited distance of each node from the root(s), |
|
605 |
/// - the predecessor arc for each node. |
|
606 |
/// |
|
607 |
/// \warning The paths with limited arc number cannot be retrieved |
|
608 |
/// easily with \ref path() or \ref predArc() functions. If you also |
|
609 |
/// need the shortest paths and not only the distances, you should |
|
610 |
/// store the \ref predMap() "predecessor map" after each iteration |
|
611 |
/// and build the path manually. |
|
612 |
/// |
|
613 |
/// \note bf.run(s, num) is just a shortcut of the following code. |
|
614 |
/// \code |
|
615 |
/// bf.init(); |
|
616 |
/// bf.addSource(s); |
|
617 |
/// bf.limitedStart(num); |
|
618 |
/// \endcode |
|
619 |
void run(Node s, int num) { |
|
620 |
init(); |
|
621 |
addSource(s); |
|
622 |
limitedStart(num); |
|
623 |
} |
|
624 |
|
|
625 |
///@} |
|
626 |
|
|
627 |
/// \brief LEMON iterator for getting the active nodes. |
|
628 |
/// |
|
629 |
/// This class provides a common style LEMON iterator that traverses |
|
630 |
/// the active nodes of the Bellman-Ford algorithm after the last |
|
631 |
/// phase. These nodes should be checked in the next phase to |
|
632 |
/// find augmenting arcs outgoing from them. |
|
633 |
class ActiveIt { |
|
634 |
public: |
|
635 |
|
|
636 |
/// \brief Constructor. |
|
637 |
/// |
|
638 |
/// Constructor for getting the active nodes of the given BellmanFord |
|
639 |
/// instance. |
|
640 |
ActiveIt(const BellmanFord& algorithm) : _algorithm(&algorithm) |
|
641 |
{ |
|
642 |
_index = _algorithm->_process.size() - 1; |
|
643 |
} |
|
644 |
|
|
645 |
/// \brief Invalid constructor. |
|
646 |
/// |
|
647 |
/// Invalid constructor. |
|
648 |
ActiveIt(Invalid) : _algorithm(0), _index(-1) {} |
|
649 |
|
|
650 |
/// \brief Conversion to \c Node. |
|
651 |
/// |
|
652 |
/// Conversion to \c Node. |
|
653 |
operator Node() const { |
|
654 |
return _index >= 0 ? _algorithm->_process[_index] : INVALID; |
|
655 |
} |
|
656 |
|
|
657 |
/// \brief Increment operator. |
|
658 |
/// |
|
659 |
/// Increment operator. |
|
660 |
ActiveIt& operator++() { |
|
661 |
--_index; |
|
662 |
return *this; |
|
663 |
} |
|
664 |
|
|
665 |
bool operator==(const ActiveIt& it) const { |
|
666 |
return static_cast<Node>(*this) == static_cast<Node>(it); |
|
667 |
} |
|
668 |
bool operator!=(const ActiveIt& it) const { |
|
669 |
return static_cast<Node>(*this) != static_cast<Node>(it); |
|
670 |
} |
|
671 |
bool operator<(const ActiveIt& it) const { |
|
672 |
return static_cast<Node>(*this) < static_cast<Node>(it); |
|
673 |
} |
|
674 |
|
|
675 |
private: |
|
676 |
const BellmanFord* _algorithm; |
|
677 |
int _index; |
|
678 |
}; |
|
679 |
|
|
680 |
/// \name Query Functions |
|
681 |
/// The result of the Bellman-Ford algorithm can be obtained using these |
|
682 |
/// functions.\n |
|
683 |
/// Either \ref run() or \ref init() should be called before using them. |
|
684 |
|
|
685 |
///@{ |
|
686 |
|
|
687 |
/// \brief The shortest path to the given node. |
|
688 |
/// |
|
689 |
/// Gives back the shortest path to the given node from the root(s). |
|
690 |
/// |
|
691 |
/// \warning \c t should be reached from the root(s). |
|
692 |
/// |
|
693 |
/// \pre Either \ref run() or \ref init() must be called before |
|
694 |
/// using this function. |
|
695 |
Path path(Node t) const |
|
696 |
{ |
|
697 |
return Path(*_gr, *_pred, t); |
|
698 |
} |
|
699 |
|
|
700 |
/// \brief The distance of the given node from the root(s). |
|
701 |
/// |
|
702 |
/// Returns the distance of the given node from the root(s). |
|
703 |
/// |
|
704 |
/// \warning If node \c v is not reached from the root(s), then |
|
705 |
/// the return value of this function is undefined. |
|
706 |
/// |
|
707 |
/// \pre Either \ref run() or \ref init() must be called before |
|
708 |
/// using this function. |
|
709 |
Value dist(Node v) const { return (*_dist)[v]; } |
|
710 |
|
|
711 |
/// \brief Returns the 'previous arc' of the shortest path tree for |
|
712 |
/// the given node. |
|
713 |
/// |
|
714 |
/// This function returns the 'previous arc' of the shortest path |
|
715 |
/// tree for node \c v, i.e. it returns the last arc of a |
|
716 |
/// shortest path from a root to \c v. It is \c INVALID if \c v |
|
717 |
/// is not reached from the root(s) or if \c v is a root. |
|
718 |
/// |
|
719 |
/// The shortest path tree used here is equal to the shortest path |
|
720 |
/// tree used in \ref predNode() and \predMap(). |
|
721 |
/// |
|
722 |
/// \pre Either \ref run() or \ref init() must be called before |
|
723 |
/// using this function. |
|
724 |
Arc predArc(Node v) const { return (*_pred)[v]; } |
|
725 |
|
|
726 |
/// \brief Returns the 'previous node' of the shortest path tree for |
|
727 |
/// the given node. |
|
728 |
/// |
|
729 |
/// This function returns the 'previous node' of the shortest path |
|
730 |
/// tree for node \c v, i.e. it returns the last but one node of |
|
731 |
/// a shortest path from a root to \c v. It is \c INVALID if \c v |
|
732 |
/// is not reached from the root(s) or if \c v is a root. |
|
733 |
/// |
|
734 |
/// The shortest path tree used here is equal to the shortest path |
|
735 |
/// tree used in \ref predArc() and \predMap(). |
|
736 |
/// |
|
737 |
/// \pre Either \ref run() or \ref init() must be called before |
|
738 |
/// using this function. |
|
739 |
Node predNode(Node v) const { |
|
740 |
return (*_pred)[v] == INVALID ? INVALID : _gr->source((*_pred)[v]); |
|
741 |
} |
|
742 |
|
|
743 |
/// \brief Returns a const reference to the node map that stores the |
|
744 |
/// distances of the nodes. |
|
745 |
/// |
|
746 |
/// Returns a const reference to the node map that stores the distances |
|
747 |
/// of the nodes calculated by the algorithm. |
|
748 |
/// |
|
749 |
/// \pre Either \ref run() or \ref init() must be called before |
|
750 |
/// using this function. |
|
751 |
const DistMap &distMap() const { return *_dist;} |
|
752 |
|
|
753 |
/// \brief Returns a const reference to the node map that stores the |
|
754 |
/// predecessor arcs. |
|
755 |
/// |
|
756 |
/// Returns a const reference to the node map that stores the predecessor |
|
757 |
/// arcs, which form the shortest path tree (forest). |
|
758 |
/// |
|
759 |
/// \pre Either \ref run() or \ref init() must be called before |
|
760 |
/// using this function. |
|
761 |
const PredMap &predMap() const { return *_pred; } |
|
762 |
|
|
763 |
/// \brief Checks if a node is reached from the root(s). |
|
764 |
/// |
|
765 |
/// Returns \c true if \c v is reached from the root(s). |
|
766 |
/// |
|
767 |
/// \pre Either \ref run() or \ref init() must be called before |
|
768 |
/// using this function. |
|
769 |
bool reached(Node v) const { |
|
770 |
return (*_dist)[v] != OperationTraits::infinity(); |
|
771 |
} |
|
772 |
|
|
773 |
/// \brief Gives back a negative cycle. |
|
774 |
/// |
|
775 |
/// This function gives back a directed cycle with negative total |
|
776 |
/// length if the algorithm has already found one. |
|
777 |
/// Otherwise it gives back an empty path. |
|
778 |
lemon::Path<Digraph> negativeCycle() { |
|
779 |
typename Digraph::template NodeMap<int> state(*_gr, -1); |
|
780 |
lemon::Path<Digraph> cycle; |
|
781 |
for (int i = 0; i < int(_process.size()); ++i) { |
|
782 |
if (state[_process[i]] != -1) continue; |
|
783 |
for (Node v = _process[i]; (*_pred)[v] != INVALID; |
|
784 |
v = _gr->source((*_pred)[v])) { |
|
785 |
if (state[v] == i) { |
|
786 |
cycle.addFront((*_pred)[v]); |
|
787 |
for (Node u = _gr->source((*_pred)[v]); u != v; |
|
788 |
u = _gr->source((*_pred)[u])) { |
|
789 |
cycle.addFront((*_pred)[u]); |
|
790 |
} |
|
791 |
return cycle; |
|
792 |
} |
|
793 |
else if (state[v] >= 0) { |
|
794 |
break; |
|
795 |
} |
|
796 |
state[v] = i; |
|
797 |
} |
|
798 |
} |
|
799 |
return cycle; |
|
800 |
} |
|
801 |
|
|
802 |
///@} |
|
803 |
}; |
|
804 |
|
|
805 |
/// \brief Default traits class of bellmanFord() function. |
|
806 |
/// |
|
807 |
/// Default traits class of bellmanFord() function. |
|
808 |
/// \tparam GR The type of the digraph. |
|
809 |
/// \tparam LEN The type of the length map. |
|
810 |
template <typename GR, typename LEN> |
|
811 |
struct BellmanFordWizardDefaultTraits { |
|
812 |
/// The type of the digraph the algorithm runs on. |
|
813 |
typedef GR Digraph; |
|
814 |
|
|
815 |
/// \brief The type of the map that stores the arc lengths. |
|
816 |
/// |
|
817 |
/// The type of the map that stores the arc lengths. |
|
818 |
/// It must meet the \ref concepts::ReadMap "ReadMap" concept. |
|
819 |
typedef LEN LengthMap; |
|
820 |
|
|
821 |
/// The type of the arc lengths. |
|
822 |
typedef typename LEN::Value Value; |
|
823 |
|
|
824 |
/// \brief Operation traits for Bellman-Ford algorithm. |
|
825 |
/// |
|
826 |
/// It defines the used operations and the infinity value for the |
|
827 |
/// given \c Value type. |
|
828 |
/// \see BellmanFordDefaultOperationTraits |
|
829 |
typedef BellmanFordDefaultOperationTraits<Value> OperationTraits; |
|
830 |
|
|
831 |
/// \brief The type of the map that stores the last |
|
832 |
/// arcs of the shortest paths. |
|
833 |
/// |
|
834 |
/// The type of the map that stores the last arcs of the shortest paths. |
|
835 |
/// It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
836 |
typedef typename GR::template NodeMap<typename GR::Arc> PredMap; |
|
837 |
|
|
838 |
/// \brief Instantiates a \c PredMap. |
|
839 |
/// |
|
840 |
/// This function instantiates a \ref PredMap. |
|
841 |
/// \param g is the digraph to which we would like to define the |
|
842 |
/// \ref PredMap. |
|
843 |
static PredMap *createPredMap(const GR &g) { |
|
844 |
return new PredMap(g); |
|
845 |
} |
|
846 |
|
|
847 |
/// \brief The type of the map that stores the distances of the nodes. |
|
848 |
/// |
|
849 |
/// The type of the map that stores the distances of the nodes. |
|
850 |
/// It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
851 |
typedef typename GR::template NodeMap<Value> DistMap; |
|
852 |
|
|
853 |
/// \brief Instantiates a \c DistMap. |
|
854 |
/// |
|
855 |
/// This function instantiates a \ref DistMap. |
|
856 |
/// \param g is the digraph to which we would like to define the |
|
857 |
/// \ref DistMap. |
|
858 |
static DistMap *createDistMap(const GR &g) { |
|
859 |
return new DistMap(g); |
|
860 |
} |
|
861 |
|
|
862 |
///The type of the shortest paths. |
|
863 |
|
|
864 |
///The type of the shortest paths. |
|
865 |
///It must meet the \ref concepts::Path "Path" concept. |
|
866 |
typedef lemon::Path<Digraph> Path; |
|
867 |
}; |
|
868 |
|
|
869 |
/// \brief Default traits class used by BellmanFordWizard. |
|
870 |
/// |
|
871 |
/// Default traits class used by BellmanFordWizard. |
|
872 |
/// \tparam GR The type of the digraph. |
|
873 |
/// \tparam LEN The type of the length map. |
|
874 |
template <typename GR, typename LEN> |
|
875 |
class BellmanFordWizardBase |
|
876 |
: public BellmanFordWizardDefaultTraits<GR, LEN> { |
|
877 |
|
|
878 |
typedef BellmanFordWizardDefaultTraits<GR, LEN> Base; |
|
879 |
protected: |
|
880 |
// Type of the nodes in the digraph. |
|
881 |
typedef typename Base::Digraph::Node Node; |
|
882 |
|
|
883 |
// Pointer to the underlying digraph. |
|
884 |
void *_graph; |
|
885 |
// Pointer to the length map |
|
886 |
void *_length; |
|
887 |
// Pointer to the map of predecessors arcs. |
|
888 |
void *_pred; |
|
889 |
// Pointer to the map of distances. |
|
890 |
void *_dist; |
|
891 |
//Pointer to the shortest path to the target node. |
|
892 |
void *_path; |
|
893 |
//Pointer to the distance of the target node. |
|
894 |
void *_di; |
|
895 |
|
|
896 |
public: |
|
897 |
/// Constructor. |
|
898 |
|
|
899 |
/// This constructor does not require parameters, it initiates |
|
900 |
/// all of the attributes to default values \c 0. |
|
901 |
BellmanFordWizardBase() : |
|
902 |
_graph(0), _length(0), _pred(0), _dist(0), _path(0), _di(0) {} |
|
903 |
|
|
904 |
/// Constructor. |
|
905 |
|
|
906 |
/// This constructor requires two parameters, |
|
907 |
/// others are initiated to \c 0. |
|
908 |
/// \param gr The digraph the algorithm runs on. |
|
909 |
/// \param len The length map. |
|
910 |
BellmanFordWizardBase(const GR& gr, |
|
911 |
const LEN& len) : |
|
912 |
_graph(reinterpret_cast<void*>(const_cast<GR*>(&gr))), |
|
913 |
_length(reinterpret_cast<void*>(const_cast<LEN*>(&len))), |
|
914 |
_pred(0), _dist(0), _path(0), _di(0) {} |
|
915 |
|
|
916 |
}; |
|
917 |
|
|
918 |
/// \brief Auxiliary class for the function-type interface of the |
|
919 |
/// \ref BellmanFord "Bellman-Ford" algorithm. |
|
920 |
/// |
|
921 |
/// This auxiliary class is created to implement the |
|
922 |
/// \ref bellmanFord() "function-type interface" of the |
|
923 |
/// \ref BellmanFord "Bellman-Ford" algorithm. |
|
924 |
/// It does not have own \ref run() method, it uses the |
|
925 |
/// functions and features of the plain \ref BellmanFord. |
|
926 |
/// |
|
927 |
/// This class should only be used through the \ref bellmanFord() |
|
928 |
/// function, which makes it easier to use the algorithm. |
|
929 |
template<class TR> |
|
930 |
class BellmanFordWizard : public TR { |
|
931 |
typedef TR Base; |
|
932 |
|
|
933 |
typedef typename TR::Digraph Digraph; |
|
934 |
|
|
935 |
typedef typename Digraph::Node Node; |
|
936 |
typedef typename Digraph::NodeIt NodeIt; |
|
937 |
typedef typename Digraph::Arc Arc; |
|
938 |
typedef typename Digraph::OutArcIt ArcIt; |
|
939 |
|
|
940 |
typedef typename TR::LengthMap LengthMap; |
|
941 |
typedef typename LengthMap::Value Value; |
|
942 |
typedef typename TR::PredMap PredMap; |
|
943 |
typedef typename TR::DistMap DistMap; |
|
944 |
typedef typename TR::Path Path; |
|
945 |
|
|
946 |
public: |
|
947 |
/// Constructor. |
|
948 |
BellmanFordWizard() : TR() {} |
|
949 |
|
|
950 |
/// \brief Constructor that requires parameters. |
|
951 |
/// |
|
952 |
/// Constructor that requires parameters. |
|
953 |
/// These parameters will be the default values for the traits class. |
|
954 |
/// \param gr The digraph the algorithm runs on. |
|
955 |
/// \param len The length map. |
|
956 |
BellmanFordWizard(const Digraph& gr, const LengthMap& len) |
|
957 |
: TR(gr, len) {} |
|
958 |
|
|
959 |
/// \brief Copy constructor |
|
960 |
BellmanFordWizard(const TR &b) : TR(b) {} |
|
961 |
|
|
962 |
~BellmanFordWizard() {} |
|
963 |
|
|
964 |
/// \brief Runs the Bellman-Ford algorithm from the given source node. |
|
965 |
/// |
|
966 |
/// This method runs the Bellman-Ford algorithm from the given source |
|
967 |
/// node in order to compute the shortest path to each node. |
|
968 |
void run(Node s) { |
|
969 |
BellmanFord<Digraph,LengthMap,TR> |
|
970 |
bf(*reinterpret_cast<const Digraph*>(Base::_graph), |
|
971 |
*reinterpret_cast<const LengthMap*>(Base::_length)); |
|
972 |
if (Base::_pred) bf.predMap(*reinterpret_cast<PredMap*>(Base::_pred)); |
|
973 |
if (Base::_dist) bf.distMap(*reinterpret_cast<DistMap*>(Base::_dist)); |
|
974 |
bf.run(s); |
|
975 |
} |
|
976 |
|
|
977 |
/// \brief Runs the Bellman-Ford algorithm to find the shortest path |
|
978 |
/// between \c s and \c t. |
|
979 |
/// |
|
980 |
/// This method runs the Bellman-Ford algorithm from node \c s |
|
981 |
/// in order to compute the shortest path to node \c t. |
|
982 |
/// Actually, it computes the shortest path to each node, but using |
|
983 |
/// this function you can retrieve the distance and the shortest path |
|
984 |
/// for a single target node easier. |
|
985 |
/// |
|
986 |
/// \return \c true if \c t is reachable form \c s. |
|
987 |
bool run(Node s, Node t) { |
|
988 |
BellmanFord<Digraph,LengthMap,TR> |
|
989 |
bf(*reinterpret_cast<const Digraph*>(Base::_graph), |
|
990 |
*reinterpret_cast<const LengthMap*>(Base::_length)); |
|
991 |
if (Base::_pred) bf.predMap(*reinterpret_cast<PredMap*>(Base::_pred)); |
|
992 |
if (Base::_dist) bf.distMap(*reinterpret_cast<DistMap*>(Base::_dist)); |
|
993 |
bf.run(s); |
|
994 |
if (Base::_path) *reinterpret_cast<Path*>(Base::_path) = bf.path(t); |
|
995 |
if (Base::_di) *reinterpret_cast<Value*>(Base::_di) = bf.dist(t); |
|
996 |
return bf.reached(t); |
|
997 |
} |
|
998 |
|
|
999 |
template<class T> |
|
1000 |
struct SetPredMapBase : public Base { |
|
1001 |
typedef T PredMap; |
|
1002 |
static PredMap *createPredMap(const Digraph &) { return 0; }; |
|
1003 |
SetPredMapBase(const TR &b) : TR(b) {} |
|
1004 |
}; |
|
1005 |
|
|
1006 |
/// \brief \ref named-templ-param "Named parameter" for setting |
|
1007 |
/// the predecessor map. |
|
1008 |
/// |
|
1009 |
/// \ref named-templ-param "Named parameter" for setting |
|
1010 |
/// the map that stores the predecessor arcs of the nodes. |
|
1011 |
template<class T> |
|
1012 |
BellmanFordWizard<SetPredMapBase<T> > predMap(const T &t) { |
|
1013 |
Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t)); |
|
1014 |
return BellmanFordWizard<SetPredMapBase<T> >(*this); |
|
1015 |
} |
|
1016 |
|
|
1017 |
template<class T> |
|
1018 |
struct SetDistMapBase : public Base { |
|
1019 |
typedef T DistMap; |
|
1020 |
static DistMap *createDistMap(const Digraph &) { return 0; }; |
|
1021 |
SetDistMapBase(const TR &b) : TR(b) {} |
|
1022 |
}; |
|
1023 |
|
|
1024 |
/// \brief \ref named-templ-param "Named parameter" for setting |
|
1025 |
/// the distance map. |
|
1026 |
/// |
|
1027 |
/// \ref named-templ-param "Named parameter" for setting |
|
1028 |
/// the map that stores the distances of the nodes calculated |
|
1029 |
/// by the algorithm. |
|
1030 |
template<class T> |
|
1031 |
BellmanFordWizard<SetDistMapBase<T> > distMap(const T &t) { |
|
1032 |
Base::_dist=reinterpret_cast<void*>(const_cast<T*>(&t)); |
|
1033 |
return BellmanFordWizard<SetDistMapBase<T> >(*this); |
|
1034 |
} |
|
1035 |
|
|
1036 |
template<class T> |
|
1037 |
struct SetPathBase : public Base { |
|
1038 |
typedef T Path; |
|
1039 |
SetPathBase(const TR &b) : TR(b) {} |
|
1040 |
}; |
|
1041 |
|
|
1042 |
/// \brief \ref named-func-param "Named parameter" for getting |
|
1043 |
/// the shortest path to the target node. |
|
1044 |
/// |
|
1045 |
/// \ref named-func-param "Named parameter" for getting |
|
1046 |
/// the shortest path to the target node. |
|
1047 |
template<class T> |
|
1048 |
BellmanFordWizard<SetPathBase<T> > path(const T &t) |
|
1049 |
{ |
|
1050 |
Base::_path=reinterpret_cast<void*>(const_cast<T*>(&t)); |
|
1051 |
return BellmanFordWizard<SetPathBase<T> >(*this); |
|
1052 |
} |
|
1053 |
|
|
1054 |
/// \brief \ref named-func-param "Named parameter" for getting |
|
1055 |
/// the distance of the target node. |
|
1056 |
/// |
|
1057 |
/// \ref named-func-param "Named parameter" for getting |
|
1058 |
/// the distance of the target node. |
|
1059 |
BellmanFordWizard dist(const Value &d) |
|
1060 |
{ |
|
1061 |
Base::_di=reinterpret_cast<void*>(const_cast<Value*>(&d)); |
|
1062 |
return *this; |
|
1063 |
} |
|
1064 |
|
|
1065 |
}; |
|
1066 |
|
|
1067 |
/// \brief Function type interface for the \ref BellmanFord "Bellman-Ford" |
|
1068 |
/// algorithm. |
|
1069 |
/// |
|
1070 |
/// \ingroup shortest_path |
|
1071 |
/// Function type interface for the \ref BellmanFord "Bellman-Ford" |
|
1072 |
/// algorithm. |
|
1073 |
/// |
|
1074 |
/// This function also has several \ref named-templ-func-param |
|
1075 |
/// "named parameters", they are declared as the members of class |
|
1076 |
/// \ref BellmanFordWizard. |
|
1077 |
/// The following examples show how to use these parameters. |
|
1078 |
/// \code |
|
1079 |
/// // Compute shortest path from node s to each node |
|
1080 |
/// bellmanFord(g,length).predMap(preds).distMap(dists).run(s); |
|
1081 |
/// |
|
1082 |
/// // Compute shortest path from s to t |
|
1083 |
/// bool reached = bellmanFord(g,length).path(p).dist(d).run(s,t); |
|
1084 |
/// \endcode |
|
1085 |
/// \warning Don't forget to put the \ref BellmanFordWizard::run() "run()" |
|
1086 |
/// to the end of the parameter list. |
|
1087 |
/// \sa BellmanFordWizard |
|
1088 |
/// \sa BellmanFord |
|
1089 |
template<typename GR, typename LEN> |
|
1090 |
BellmanFordWizard<BellmanFordWizardBase<GR,LEN> > |
|
1091 |
bellmanFord(const GR& digraph, |
|
1092 |
const LEN& length) |
|
1093 |
{ |
|
1094 |
return BellmanFordWizard<BellmanFordWizardBase<GR,LEN> >(digraph, length); |
|
1095 |
} |
|
1096 |
|
|
1097 |
} //END OF NAMESPACE LEMON |
|
1098 |
|
|
1099 |
#endif |
|
1100 |
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_BINOM_HEAP_H |
|
20 |
#define LEMON_BINOM_HEAP_H |
|
21 |
|
|
22 |
///\file |
|
23 |
///\ingroup heaps |
|
24 |
///\brief Binomial Heap implementation. |
|
25 |
|
|
26 |
#include <vector> |
|
27 |
#include <utility> |
|
28 |
#include <functional> |
|
29 |
#include <lemon/math.h> |
|
30 |
#include <lemon/counter.h> |
|
31 |
|
|
32 |
namespace lemon { |
|
33 |
|
|
34 |
/// \ingroup heaps |
|
35 |
/// |
|
36 |
///\brief Binomial heap data structure. |
|
37 |
/// |
|
38 |
/// This class implements the \e binomial \e heap data structure. |
|
39 |
/// It fully conforms to the \ref concepts::Heap "heap concept". |
|
40 |
/// |
|
41 |
/// The methods \ref increase() and \ref erase() are not efficient |
|
42 |
/// in a binomial heap. In case of many calls of these operations, |
|
43 |
/// it is better to use other heap structure, e.g. \ref BinHeap |
|
44 |
/// "binary heap". |
|
45 |
/// |
|
46 |
/// \tparam PR Type of the priorities of the items. |
|
47 |
/// \tparam IM A read-writable item map with \c int values, used |
|
48 |
/// internally to handle the cross references. |
|
49 |
/// \tparam CMP A functor class for comparing the priorities. |
|
50 |
/// The default is \c std::less<PR>. |
|
51 |
#ifdef DOXYGEN |
|
52 |
template <typename PR, typename IM, typename CMP> |
|
53 |
#else |
|
54 |
template <typename PR, typename IM, typename CMP = std::less<PR> > |
|
55 |
#endif |
|
56 |
class BinomHeap { |
|
57 |
public: |
|
58 |
/// Type of the item-int map. |
|
59 |
typedef IM ItemIntMap; |
|
60 |
/// Type of the priorities. |
|
61 |
typedef PR Prio; |
|
62 |
/// Type of the items stored in the heap. |
|
63 |
typedef typename ItemIntMap::Key Item; |
|
64 |
/// Functor type for comparing the priorities. |
|
65 |
typedef CMP Compare; |
|
66 |
|
|
67 |
/// \brief Type to represent the states of the items. |
|
68 |
/// |
|
69 |
/// Each item has a state associated to it. It can be "in heap", |
|
70 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
|
71 |
/// heap's point of view, but may be useful to the user. |
|
72 |
/// |
|
73 |
/// The item-int map must be initialized in such way that it assigns |
|
74 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
|
75 |
enum State { |
|
76 |
IN_HEAP = 0, ///< = 0. |
|
77 |
PRE_HEAP = -1, ///< = -1. |
|
78 |
POST_HEAP = -2 ///< = -2. |
|
79 |
}; |
|
80 |
|
|
81 |
private: |
|
82 |
class Store; |
|
83 |
|
|
84 |
std::vector<Store> _data; |
|
85 |
int _min, _head; |
|
86 |
ItemIntMap &_iim; |
|
87 |
Compare _comp; |
|
88 |
int _num_items; |
|
89 |
|
|
90 |
public: |
|
91 |
/// \brief Constructor. |
|
92 |
/// |
|
93 |
/// Constructor. |
|
94 |
/// \param map A map that assigns \c int values to the items. |
|
95 |
/// It is used internally to handle the cross references. |
|
96 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
97 |
explicit BinomHeap(ItemIntMap &map) |
|
98 |
: _min(0), _head(-1), _iim(map), _num_items(0) {} |
|
99 |
|
|
100 |
/// \brief Constructor. |
|
101 |
/// |
|
102 |
/// Constructor. |
|
103 |
/// \param map A map that assigns \c int values to the items. |
|
104 |
/// It is used internally to handle the cross references. |
|
105 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
106 |
/// \param comp The function object used for comparing the priorities. |
|
107 |
BinomHeap(ItemIntMap &map, const Compare &comp) |
|
108 |
: _min(0), _head(-1), _iim(map), _comp(comp), _num_items(0) {} |
|
109 |
|
|
110 |
/// \brief The number of items stored in the heap. |
|
111 |
/// |
|
112 |
/// This function returns the number of items stored in the heap. |
|
113 |
int size() const { return _num_items; } |
|
114 |
|
|
115 |
/// \brief Check if the heap is empty. |
|
116 |
/// |
|
117 |
/// This function returns \c true if the heap is empty. |
|
118 |
bool empty() const { return _num_items==0; } |
|
119 |
|
|
120 |
/// \brief Make the heap empty. |
|
121 |
/// |
|
122 |
/// This functon makes the heap empty. |
|
123 |
/// It does not change the cross reference map. If you want to reuse |
|
124 |
/// a heap that is not surely empty, you should first clear it and |
|
125 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
126 |
/// for each item. |
|
127 |
void clear() { |
|
128 |
_data.clear(); _min=0; _num_items=0; _head=-1; |
|
129 |
} |
|
130 |
|
|
131 |
/// \brief Set the priority of an item or insert it, if it is |
|
132 |
/// not stored in the heap. |
|
133 |
/// |
|
134 |
/// This method sets the priority of the given item if it is |
|
135 |
/// already stored in the heap. Otherwise it inserts the given |
|
136 |
/// item into the heap with the given priority. |
|
137 |
/// \param item The item. |
|
138 |
/// \param value The priority. |
|
139 |
void set (const Item& item, const Prio& value) { |
|
140 |
int i=_iim[item]; |
|
141 |
if ( i >= 0 && _data[i].in ) { |
|
142 |
if ( _comp(value, _data[i].prio) ) decrease(item, value); |
|
143 |
if ( _comp(_data[i].prio, value) ) increase(item, value); |
|
144 |
} else push(item, value); |
|
145 |
} |
|
146 |
|
|
147 |
/// \brief Insert an item into the heap with the given priority. |
|
148 |
/// |
|
149 |
/// This function inserts the given item into the heap with the |
|
150 |
/// given priority. |
|
151 |
/// \param item The item to insert. |
|
152 |
/// \param value The priority of the item. |
|
153 |
/// \pre \e item must not be stored in the heap. |
|
154 |
void push (const Item& item, const Prio& value) { |
|
155 |
int i=_iim[item]; |
|
156 |
if ( i<0 ) { |
|
157 |
int s=_data.size(); |
|
158 |
_iim.set( item,s ); |
|
159 |
Store st; |
|
160 |
st.name=item; |
|
161 |
st.prio=value; |
|
162 |
_data.push_back(st); |
|
163 |
i=s; |
|
164 |
} |
|
165 |
else { |
|
166 |
_data[i].parent=_data[i].right_neighbor=_data[i].child=-1; |
|
167 |
_data[i].degree=0; |
|
168 |
_data[i].in=true; |
|
169 |
_data[i].prio=value; |
|
170 |
} |
|
171 |
|
|
172 |
if( 0==_num_items ) { |
|
173 |
_head=i; |
|
174 |
_min=i; |
|
175 |
} else { |
|
176 |
merge(i); |
|
177 |
if( _comp(_data[i].prio, _data[_min].prio) ) _min=i; |
|
178 |
} |
|
179 |
++_num_items; |
|
180 |
} |
|
181 |
|
|
182 |
/// \brief Return the item having minimum priority. |
|
183 |
/// |
|
184 |
/// This function returns the item having minimum priority. |
|
185 |
/// \pre The heap must be non-empty. |
|
186 |
Item top() const { return _data[_min].name; } |
|
187 |
|
|
188 |
/// \brief The minimum priority. |
|
189 |
/// |
|
190 |
/// This function returns the minimum priority. |
|
191 |
/// \pre The heap must be non-empty. |
|
192 |
Prio prio() const { return _data[_min].prio; } |
|
193 |
|
|
194 |
/// \brief The priority of the given item. |
|
195 |
/// |
|
196 |
/// This function returns the priority of the given item. |
|
197 |
/// \param item The item. |
|
198 |
/// \pre \e item must be in the heap. |
|
199 |
const Prio& operator[](const Item& item) const { |
|
200 |
return _data[_iim[item]].prio; |
|
201 |
} |
|
202 |
|
|
203 |
/// \brief Remove the item having minimum priority. |
|
204 |
/// |
|
205 |
/// This function removes the item having minimum priority. |
|
206 |
/// \pre The heap must be non-empty. |
|
207 |
void pop() { |
|
208 |
_data[_min].in=false; |
|
209 |
|
|
210 |
int head_child=-1; |
|
211 |
if ( _data[_min].child!=-1 ) { |
|
212 |
int child=_data[_min].child; |
|
213 |
int neighb; |
|
214 |
while( child!=-1 ) { |
|
215 |
neighb=_data[child].right_neighbor; |
|
216 |
_data[child].parent=-1; |
|
217 |
_data[child].right_neighbor=head_child; |
|
218 |
head_child=child; |
|
219 |
child=neighb; |
|
220 |
} |
|
221 |
} |
|
222 |
|
|
223 |
if ( _data[_head].right_neighbor==-1 ) { |
|
224 |
// there was only one root |
|
225 |
_head=head_child; |
|
226 |
} |
|
227 |
else { |
|
228 |
// there were more roots |
|
229 |
if( _head!=_min ) { unlace(_min); } |
|
230 |
else { _head=_data[_head].right_neighbor; } |
|
231 |
merge(head_child); |
|
232 |
} |
|
233 |
_min=findMin(); |
|
234 |
--_num_items; |
|
235 |
} |
|
236 |
|
|
237 |
/// \brief Remove the given item from the heap. |
|
238 |
/// |
|
239 |
/// This function removes the given item from the heap if it is |
|
240 |
/// already stored. |
|
241 |
/// \param item The item to delete. |
|
242 |
/// \pre \e item must be in the heap. |
|
243 |
void erase (const Item& item) { |
|
244 |
int i=_iim[item]; |
|
245 |
if ( i >= 0 && _data[i].in ) { |
|
246 |
decrease( item, _data[_min].prio-1 ); |
|
247 |
pop(); |
|
248 |
} |
|
249 |
} |
|
250 |
|
|
251 |
/// \brief Decrease the priority of an item to the given value. |
|
252 |
/// |
|
253 |
/// This function decreases the priority of an item to the given value. |
|
254 |
/// \param item The item. |
|
255 |
/// \param value The priority. |
|
256 |
/// \pre \e item must be stored in the heap with priority at least \e value. |
|
257 |
void decrease (Item item, const Prio& value) { |
|
258 |
int i=_iim[item]; |
|
259 |
int p=_data[i].parent; |
|
260 |
_data[i].prio=value; |
|
261 |
|
|
262 |
while( p!=-1 && _comp(value, _data[p].prio) ) { |
|
263 |
_data[i].name=_data[p].name; |
|
264 |
_data[i].prio=_data[p].prio; |
|
265 |
_data[p].name=item; |
|
266 |
_data[p].prio=value; |
|
267 |
_iim[_data[i].name]=i; |
|
268 |
i=p; |
|
269 |
p=_data[p].parent; |
|
270 |
} |
|
271 |
_iim[item]=i; |
|
272 |
if ( _comp(value, _data[_min].prio) ) _min=i; |
|
273 |
} |
|
274 |
|
|
275 |
/// \brief Increase the priority of an item to the given value. |
|
276 |
/// |
|
277 |
/// This function increases the priority of an item to the given value. |
|
278 |
/// \param item The item. |
|
279 |
/// \param value The priority. |
|
280 |
/// \pre \e item must be stored in the heap with priority at most \e value. |
|
281 |
void increase (Item item, const Prio& value) { |
|
282 |
erase(item); |
|
283 |
push(item, value); |
|
284 |
} |
|
285 |
|
|
286 |
/// \brief Return the state of an item. |
|
287 |
/// |
|
288 |
/// This method returns \c PRE_HEAP if the given item has never |
|
289 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
|
290 |
/// and \c POST_HEAP otherwise. |
|
291 |
/// In the latter case it is possible that the item will get back |
|
292 |
/// to the heap again. |
|
293 |
/// \param item The item. |
|
294 |
State state(const Item &item) const { |
|
295 |
int i=_iim[item]; |
|
296 |
if( i>=0 ) { |
|
297 |
if ( _data[i].in ) i=0; |
|
298 |
else i=-2; |
|
299 |
} |
|
300 |
return State(i); |
|
301 |
} |
|
302 |
|
|
303 |
/// \brief Set the state of an item in the heap. |
|
304 |
/// |
|
305 |
/// This function sets the state of the given item in the heap. |
|
306 |
/// It can be used to manually clear the heap when it is important |
|
307 |
/// to achive better time complexity. |
|
308 |
/// \param i The item. |
|
309 |
/// \param st The state. It should not be \c IN_HEAP. |
|
310 |
void state(const Item& i, State st) { |
|
311 |
switch (st) { |
|
312 |
case POST_HEAP: |
|
313 |
case PRE_HEAP: |
|
314 |
if (state(i) == IN_HEAP) { |
|
315 |
erase(i); |
|
316 |
} |
|
317 |
_iim[i] = st; |
|
318 |
break; |
|
319 |
case IN_HEAP: |
|
320 |
break; |
|
321 |
} |
|
322 |
} |
|
323 |
|
|
324 |
private: |
|
325 |
|
|
326 |
// Find the minimum of the roots |
|
327 |
int findMin() { |
|
328 |
if( _head!=-1 ) { |
|
329 |
int min_loc=_head, min_val=_data[_head].prio; |
|
330 |
for( int x=_data[_head].right_neighbor; x!=-1; |
|
331 |
x=_data[x].right_neighbor ) { |
|
332 |
if( _comp( _data[x].prio,min_val ) ) { |
|
333 |
min_val=_data[x].prio; |
|
334 |
min_loc=x; |
|
335 |
} |
|
336 |
} |
|
337 |
return min_loc; |
|
338 |
} |
|
339 |
else return -1; |
|
340 |
} |
|
341 |
|
|
342 |
// Merge the heap with another heap starting at the given position |
|
343 |
void merge(int a) { |
|
344 |
if( _head==-1 || a==-1 ) return; |
|
345 |
if( _data[a].right_neighbor==-1 && |
|
346 |
_data[a].degree<=_data[_head].degree ) { |
|
347 |
_data[a].right_neighbor=_head; |
|
348 |
_head=a; |
|
349 |
} else { |
|
350 |
interleave(a); |
|
351 |
} |
|
352 |
if( _data[_head].right_neighbor==-1 ) return; |
|
353 |
|
|
354 |
int x=_head; |
|
355 |
int x_prev=-1, x_next=_data[x].right_neighbor; |
|
356 |
while( x_next!=-1 ) { |
|
357 |
if( _data[x].degree!=_data[x_next].degree || |
|
358 |
( _data[x_next].right_neighbor!=-1 && |
|
359 |
_data[_data[x_next].right_neighbor].degree==_data[x].degree ) ) { |
|
360 |
x_prev=x; |
|
361 |
x=x_next; |
|
362 |
} |
|
363 |
else { |
|
364 |
if( _comp(_data[x_next].prio,_data[x].prio) ) { |
|
365 |
if( x_prev==-1 ) { |
|
366 |
_head=x_next; |
|
367 |
} else { |
|
368 |
_data[x_prev].right_neighbor=x_next; |
|
369 |
} |
|
370 |
fuse(x,x_next); |
|
371 |
x=x_next; |
|
372 |
} |
|
373 |
else { |
|
374 |
_data[x].right_neighbor=_data[x_next].right_neighbor; |
|
375 |
fuse(x_next,x); |
|
376 |
} |
|
377 |
} |
|
378 |
x_next=_data[x].right_neighbor; |
|
379 |
} |
|
380 |
} |
|
381 |
|
|
382 |
// Interleave the elements of the given list into the list of the roots |
|
383 |
void interleave(int a) { |
|
384 |
int p=_head, q=a; |
|
385 |
int curr=_data.size(); |
|
386 |
_data.push_back(Store()); |
|
387 |
|
|
388 |
while( p!=-1 || q!=-1 ) { |
|
389 |
if( q==-1 || ( p!=-1 && _data[p].degree<_data[q].degree ) ) { |
|
390 |
_data[curr].right_neighbor=p; |
|
391 |
curr=p; |
|
392 |
p=_data[p].right_neighbor; |
|
393 |
} |
|
394 |
else { |
|
395 |
_data[curr].right_neighbor=q; |
|
396 |
curr=q; |
|
397 |
q=_data[q].right_neighbor; |
|
398 |
} |
|
399 |
} |
|
400 |
|
|
401 |
_head=_data.back().right_neighbor; |
|
402 |
_data.pop_back(); |
|
403 |
} |
|
404 |
|
|
405 |
// Lace node a under node b |
|
406 |
void fuse(int a, int b) { |
|
407 |
_data[a].parent=b; |
|
408 |
_data[a].right_neighbor=_data[b].child; |
|
409 |
_data[b].child=a; |
|
410 |
|
|
411 |
++_data[b].degree; |
|
412 |
} |
|
413 |
|
|
414 |
// Unlace node a (if it has siblings) |
|
415 |
void unlace(int a) { |
|
416 |
int neighb=_data[a].right_neighbor; |
|
417 |
int other=_head; |
|
418 |
|
|
419 |
while( _data[other].right_neighbor!=a ) |
|
420 |
other=_data[other].right_neighbor; |
|
421 |
_data[other].right_neighbor=neighb; |
|
422 |
} |
|
423 |
|
|
424 |
private: |
|
425 |
|
|
426 |
class Store { |
|
427 |
friend class BinomHeap; |
|
428 |
|
|
429 |
Item name; |
|
430 |
int parent; |
|
431 |
int right_neighbor; |
|
432 |
int child; |
|
433 |
int degree; |
|
434 |
bool in; |
|
435 |
Prio prio; |
|
436 |
|
|
437 |
Store() : parent(-1), right_neighbor(-1), child(-1), degree(0), |
|
438 |
in(true) {} |
|
439 |
}; |
|
440 |
}; |
|
441 |
|
|
442 |
} //namespace lemon |
|
443 |
|
|
444 |
#endif //LEMON_BINOM_HEAP_H |
|
445 |
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_FOURARY_HEAP_H |
|
20 |
#define LEMON_FOURARY_HEAP_H |
|
21 |
|
|
22 |
///\ingroup heaps |
|
23 |
///\file |
|
24 |
///\brief Fourary heap implementation. |
|
25 |
|
|
26 |
#include <vector> |
|
27 |
#include <utility> |
|
28 |
#include <functional> |
|
29 |
|
|
30 |
namespace lemon { |
|
31 |
|
|
32 |
/// \ingroup heaps |
|
33 |
/// |
|
34 |
///\brief Fourary heap data structure. |
|
35 |
/// |
|
36 |
/// This class implements the \e fourary \e heap data structure. |
|
37 |
/// It fully conforms to the \ref concepts::Heap "heap concept". |
|
38 |
/// |
|
39 |
/// The fourary heap is a specialization of the \ref KaryHeap "K-ary heap" |
|
40 |
/// for <tt>K=4</tt>. It is similar to the \ref BinHeap "binary heap", |
|
41 |
/// but its nodes have at most four children, instead of two. |
|
42 |
/// |
|
43 |
/// \tparam PR Type of the priorities of the items. |
|
44 |
/// \tparam IM A read-writable item map with \c int values, used |
|
45 |
/// internally to handle the cross references. |
|
46 |
/// \tparam CMP A functor class for comparing the priorities. |
|
47 |
/// The default is \c std::less<PR>. |
|
48 |
/// |
|
49 |
///\sa BinHeap |
|
50 |
///\sa KaryHeap |
|
51 |
#ifdef DOXYGEN |
|
52 |
template <typename PR, typename IM, typename CMP> |
|
53 |
#else |
|
54 |
template <typename PR, typename IM, typename CMP = std::less<PR> > |
|
55 |
#endif |
|
56 |
class FouraryHeap { |
|
57 |
public: |
|
58 |
/// Type of the item-int map. |
|
59 |
typedef IM ItemIntMap; |
|
60 |
/// Type of the priorities. |
|
61 |
typedef PR Prio; |
|
62 |
/// Type of the items stored in the heap. |
|
63 |
typedef typename ItemIntMap::Key Item; |
|
64 |
/// Type of the item-priority pairs. |
|
65 |
typedef std::pair<Item,Prio> Pair; |
|
66 |
/// Functor type for comparing the priorities. |
|
67 |
typedef CMP Compare; |
|
68 |
|
|
69 |
/// \brief Type to represent the states of the items. |
|
70 |
/// |
|
71 |
/// Each item has a state associated to it. It can be "in heap", |
|
72 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
|
73 |
/// heap's point of view, but may be useful to the user. |
|
74 |
/// |
|
75 |
/// The item-int map must be initialized in such way that it assigns |
|
76 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
|
77 |
enum State { |
|
78 |
IN_HEAP = 0, ///< = 0. |
|
79 |
PRE_HEAP = -1, ///< = -1. |
|
80 |
POST_HEAP = -2 ///< = -2. |
|
81 |
}; |
|
82 |
|
|
83 |
private: |
|
84 |
std::vector<Pair> _data; |
|
85 |
Compare _comp; |
|
86 |
ItemIntMap &_iim; |
|
87 |
|
|
88 |
public: |
|
89 |
/// \brief Constructor. |
|
90 |
/// |
|
91 |
/// Constructor. |
|
92 |
/// \param map A map that assigns \c int values to the items. |
|
93 |
/// It is used internally to handle the cross references. |
|
94 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
95 |
explicit FouraryHeap(ItemIntMap &map) : _iim(map) {} |
|
96 |
|
|
97 |
/// \brief Constructor. |
|
98 |
/// |
|
99 |
/// Constructor. |
|
100 |
/// \param map A map that assigns \c int values to the items. |
|
101 |
/// It is used internally to handle the cross references. |
|
102 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
103 |
/// \param comp The function object used for comparing the priorities. |
|
104 |
FouraryHeap(ItemIntMap &map, const Compare &comp) |
|
105 |
: _iim(map), _comp(comp) {} |
|
106 |
|
|
107 |
/// \brief The number of items stored in the heap. |
|
108 |
/// |
|
109 |
/// This function returns the number of items stored in the heap. |
|
110 |
int size() const { return _data.size(); } |
|
111 |
|
|
112 |
/// \brief Check if the heap is empty. |
|
113 |
/// |
|
114 |
/// This function returns \c true if the heap is empty. |
|
115 |
bool empty() const { return _data.empty(); } |
|
116 |
|
|
117 |
/// \brief Make the heap empty. |
|
118 |
/// |
|
119 |
/// This functon makes the heap empty. |
|
120 |
/// It does not change the cross reference map. If you want to reuse |
|
121 |
/// a heap that is not surely empty, you should first clear it and |
|
122 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
123 |
/// for each item. |
|
124 |
void clear() { _data.clear(); } |
|
125 |
|
|
126 |
private: |
|
127 |
static int parent(int i) { return (i-1)/4; } |
|
128 |
static int firstChild(int i) { return 4*i+1; } |
|
129 |
|
|
130 |
bool less(const Pair &p1, const Pair &p2) const { |
|
131 |
return _comp(p1.second, p2.second); |
|
132 |
} |
|
133 |
|
|
134 |
void bubbleUp(int hole, Pair p) { |
|
135 |
int par = parent(hole); |
|
136 |
while( hole>0 && less(p,_data[par]) ) { |
|
137 |
move(_data[par],hole); |
|
138 |
hole = par; |
|
139 |
par = parent(hole); |
|
140 |
} |
|
141 |
move(p, hole); |
|
142 |
} |
|
143 |
|
|
144 |
void bubbleDown(int hole, Pair p, int length) { |
|
145 |
if( length>1 ) { |
|
146 |
int child = firstChild(hole); |
|
147 |
while( child+3<length ) { |
|
148 |
int min=child; |
|
149 |
if( less(_data[++child], _data[min]) ) min=child; |
|
150 |
if( less(_data[++child], _data[min]) ) min=child; |
|
151 |
if( less(_data[++child], _data[min]) ) min=child; |
|
152 |
if( !less(_data[min], p) ) |
|
153 |
goto ok; |
|
154 |
move(_data[min], hole); |
|
155 |
hole = min; |
|
156 |
child = firstChild(hole); |
|
157 |
} |
|
158 |
if ( child<length ) { |
|
159 |
int min = child; |
|
160 |
if( ++child<length && less(_data[child], _data[min]) ) min=child; |
|
161 |
if( ++child<length && less(_data[child], _data[min]) ) min=child; |
|
162 |
if( less(_data[min], p) ) { |
|
163 |
move(_data[min], hole); |
|
164 |
hole = min; |
|
165 |
} |
|
166 |
} |
|
167 |
} |
|
168 |
ok: |
|
169 |
move(p, hole); |
|
170 |
} |
|
171 |
|
|
172 |
void move(const Pair &p, int i) { |
|
173 |
_data[i] = p; |
|
174 |
_iim.set(p.first, i); |
|
175 |
} |
|
176 |
|
|
177 |
public: |
|
178 |
/// \brief Insert a pair of item and priority into the heap. |
|
179 |
/// |
|
180 |
/// This function inserts \c p.first to the heap with priority |
|
181 |
/// \c p.second. |
|
182 |
/// \param p The pair to insert. |
|
183 |
/// \pre \c p.first must not be stored in the heap. |
|
184 |
void push(const Pair &p) { |
|
185 |
int n = _data.size(); |
|
186 |
_data.resize(n+1); |
|
187 |
bubbleUp(n, p); |
|
188 |
} |
|
189 |
|
|
190 |
/// \brief Insert an item into the heap with the given priority. |
|
191 |
/// |
|
192 |
/// This function inserts the given item into the heap with the |
|
193 |
/// given priority. |
|
194 |
/// \param i The item to insert. |
|
195 |
/// \param p The priority of the item. |
|
196 |
/// \pre \e i must not be stored in the heap. |
|
197 |
void push(const Item &i, const Prio &p) { push(Pair(i,p)); } |
|
198 |
|
|
199 |
/// \brief Return the item having minimum priority. |
|
200 |
/// |
|
201 |
/// This function returns the item having minimum priority. |
|
202 |
/// \pre The heap must be non-empty. |
|
203 |
Item top() const { return _data[0].first; } |
|
204 |
|
|
205 |
/// \brief The minimum priority. |
|
206 |
/// |
|
207 |
/// This function returns the minimum priority. |
|
208 |
/// \pre The heap must be non-empty. |
|
209 |
Prio prio() const { return _data[0].second; } |
|
210 |
|
|
211 |
/// \brief Remove the item having minimum priority. |
|
212 |
/// |
|
213 |
/// This function removes the item having minimum priority. |
|
214 |
/// \pre The heap must be non-empty. |
|
215 |
void pop() { |
|
216 |
int n = _data.size()-1; |
|
217 |
_iim.set(_data[0].first, POST_HEAP); |
|
218 |
if (n>0) bubbleDown(0, _data[n], n); |
|
219 |
_data.pop_back(); |
|
220 |
} |
|
221 |
|
|
222 |
/// \brief Remove the given item from the heap. |
|
223 |
/// |
|
224 |
/// This function removes the given item from the heap if it is |
|
225 |
/// already stored. |
|
226 |
/// \param i The item to delete. |
|
227 |
/// \pre \e i must be in the heap. |
|
228 |
void erase(const Item &i) { |
|
229 |
int h = _iim[i]; |
|
230 |
int n = _data.size()-1; |
|
231 |
_iim.set(_data[h].first, POST_HEAP); |
|
232 |
if( h<n ) { |
|
233 |
if( less(_data[parent(h)], _data[n]) ) |
|
234 |
bubbleDown(h, _data[n], n); |
|
235 |
else |
|
236 |
bubbleUp(h, _data[n]); |
|
237 |
} |
|
238 |
_data.pop_back(); |
|
239 |
} |
|
240 |
|
|
241 |
/// \brief The priority of the given item. |
|
242 |
/// |
|
243 |
/// This function returns the priority of the given item. |
|
244 |
/// \param i The item. |
|
245 |
/// \pre \e i must be in the heap. |
|
246 |
Prio operator[](const Item &i) const { |
|
247 |
int idx = _iim[i]; |
|
248 |
return _data[idx].second; |
|
249 |
} |
|
250 |
|
|
251 |
/// \brief Set the priority of an item or insert it, if it is |
|
252 |
/// not stored in the heap. |
|
253 |
/// |
|
254 |
/// This method sets the priority of the given item if it is |
|
255 |
/// already stored in the heap. Otherwise it inserts the given |
|
256 |
/// item into the heap with the given priority. |
|
257 |
/// \param i The item. |
|
258 |
/// \param p The priority. |
|
259 |
void set(const Item &i, const Prio &p) { |
|
260 |
int idx = _iim[i]; |
|
261 |
if( idx < 0 ) |
|
262 |
push(i,p); |
|
263 |
else if( _comp(p, _data[idx].second) ) |
|
264 |
bubbleUp(idx, Pair(i,p)); |
|
265 |
else |
|
266 |
bubbleDown(idx, Pair(i,p), _data.size()); |
|
267 |
} |
|
268 |
|
|
269 |
/// \brief Decrease the priority of an item to the given value. |
|
270 |
/// |
|
271 |
/// This function decreases the priority of an item to the given value. |
|
272 |
/// \param i The item. |
|
273 |
/// \param p The priority. |
|
274 |
/// \pre \e i must be stored in the heap with priority at least \e p. |
|
275 |
void decrease(const Item &i, const Prio &p) { |
|
276 |
int idx = _iim[i]; |
|
277 |
bubbleUp(idx, Pair(i,p)); |
|
278 |
} |
|
279 |
|
|
280 |
/// \brief Increase the priority of an item to the given value. |
|
281 |
/// |
|
282 |
/// This function increases the priority of an item to the given value. |
|
283 |
/// \param i The item. |
|
284 |
/// \param p The priority. |
|
285 |
/// \pre \e i must be stored in the heap with priority at most \e p. |
|
286 |
void increase(const Item &i, const Prio &p) { |
|
287 |
int idx = _iim[i]; |
|
288 |
bubbleDown(idx, Pair(i,p), _data.size()); |
|
289 |
} |
|
290 |
|
|
291 |
/// \brief Return the state of an item. |
|
292 |
/// |
|
293 |
/// This method returns \c PRE_HEAP if the given item has never |
|
294 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
|
295 |
/// and \c POST_HEAP otherwise. |
|
296 |
/// In the latter case it is possible that the item will get back |
|
297 |
/// to the heap again. |
|
298 |
/// \param i The item. |
|
299 |
State state(const Item &i) const { |
|
300 |
int s = _iim[i]; |
|
301 |
if (s>=0) s=0; |
|
302 |
return State(s); |
|
303 |
} |
|
304 |
|
|
305 |
/// \brief Set the state of an item in the heap. |
|
306 |
/// |
|
307 |
/// This function sets the state of the given item in the heap. |
|
308 |
/// It can be used to manually clear the heap when it is important |
|
309 |
/// to achive better time complexity. |
|
310 |
/// \param i The item. |
|
311 |
/// \param st The state. It should not be \c IN_HEAP. |
|
312 |
void state(const Item& i, State st) { |
|
313 |
switch (st) { |
|
314 |
case POST_HEAP: |
|
315 |
case PRE_HEAP: |
|
316 |
if (state(i) == IN_HEAP) erase(i); |
|
317 |
_iim[i] = st; |
|
318 |
break; |
|
319 |
case IN_HEAP: |
|
320 |
break; |
|
321 |
} |
|
322 |
} |
|
323 |
|
|
324 |
/// \brief Replace an item in the heap. |
|
325 |
/// |
|
326 |
/// This function replaces item \c i with item \c j. |
|
327 |
/// Item \c i must be in the heap, while \c j must be out of the heap. |
|
328 |
/// After calling this method, item \c i will be out of the |
|
329 |
/// heap and \c j will be in the heap with the same prioriority |
|
330 |
/// as item \c i had before. |
|
331 |
void replace(const Item& i, const Item& j) { |
|
332 |
int idx = _iim[i]; |
|
333 |
_iim.set(i, _iim[j]); |
|
334 |
_iim.set(j, idx); |
|
335 |
_data[idx].first = j; |
|
336 |
} |
|
337 |
|
|
338 |
}; // class FouraryHeap |
|
339 |
|
|
340 |
} // namespace lemon |
|
341 |
|
|
342 |
#endif // LEMON_FOURARY_HEAP_H |
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_KARY_HEAP_H |
|
20 |
#define LEMON_KARY_HEAP_H |
|
21 |
|
|
22 |
///\ingroup heaps |
|
23 |
///\file |
|
24 |
///\brief Fourary heap implementation. |
|
25 |
|
|
26 |
#include <vector> |
|
27 |
#include <utility> |
|
28 |
#include <functional> |
|
29 |
|
|
30 |
namespace lemon { |
|
31 |
|
|
32 |
/// \ingroup heaps |
|
33 |
/// |
|
34 |
///\brief K-ary heap data structure. |
|
35 |
/// |
|
36 |
/// This class implements the \e K-ary \e heap data structure. |
|
37 |
/// It fully conforms to the \ref concepts::Heap "heap concept". |
|
38 |
/// |
|
39 |
/// The \ref KaryHeap "K-ary heap" is a generalization of the |
|
40 |
/// \ref BinHeap "binary heap" structure, its nodes have at most |
|
41 |
/// \c K children, instead of two. |
|
42 |
/// \ref BinHeap and \ref FouraryHeap are specialized implementations |
|
43 |
/// of this structure for <tt>K=2</tt> and <tt>K=4</tt>, respectively. |
|
44 |
/// |
|
45 |
/// \tparam PR Type of the priorities of the items. |
|
46 |
/// \tparam IM A read-writable item map with \c int values, used |
|
47 |
/// internally to handle the cross references. |
|
48 |
/// \tparam K The degree of the heap, each node have at most \e K |
|
49 |
/// children. The default is 16. Powers of two are suggested to use |
|
50 |
/// so that the multiplications and divisions needed to traverse the |
|
51 |
/// nodes of the heap could be performed faster. |
|
52 |
/// \tparam CMP A functor class for comparing the priorities. |
|
53 |
/// The default is \c std::less<PR>. |
|
54 |
/// |
|
55 |
///\sa BinHeap |
|
56 |
///\sa FouraryHeap |
|
57 |
#ifdef DOXYGEN |
|
58 |
template <typename PR, typename IM, int K, typename CMP> |
|
59 |
#else |
|
60 |
template <typename PR, typename IM, int K = 16, |
|
61 |
typename CMP = std::less<PR> > |
|
62 |
#endif |
|
63 |
class KaryHeap { |
|
64 |
public: |
|
65 |
/// Type of the item-int map. |
|
66 |
typedef IM ItemIntMap; |
|
67 |
/// Type of the priorities. |
|
68 |
typedef PR Prio; |
|
69 |
/// Type of the items stored in the heap. |
|
70 |
typedef typename ItemIntMap::Key Item; |
|
71 |
/// Type of the item-priority pairs. |
|
72 |
typedef std::pair<Item,Prio> Pair; |
|
73 |
/// Functor type for comparing the priorities. |
|
74 |
typedef CMP Compare; |
|
75 |
|
|
76 |
/// \brief Type to represent the states of the items. |
|
77 |
/// |
|
78 |
/// Each item has a state associated to it. It can be "in heap", |
|
79 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
|
80 |
/// heap's point of view, but may be useful to the user. |
|
81 |
/// |
|
82 |
/// The item-int map must be initialized in such way that it assigns |
|
83 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
|
84 |
enum State { |
|
85 |
IN_HEAP = 0, ///< = 0. |
|
86 |
PRE_HEAP = -1, ///< = -1. |
|
87 |
POST_HEAP = -2 ///< = -2. |
|
88 |
}; |
|
89 |
|
|
90 |
private: |
|
91 |
std::vector<Pair> _data; |
|
92 |
Compare _comp; |
|
93 |
ItemIntMap &_iim; |
|
94 |
|
|
95 |
public: |
|
96 |
/// \brief Constructor. |
|
97 |
/// |
|
98 |
/// Constructor. |
|
99 |
/// \param map A map that assigns \c int values to the items. |
|
100 |
/// It is used internally to handle the cross references. |
|
101 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
102 |
explicit KaryHeap(ItemIntMap &map) : _iim(map) {} |
|
103 |
|
|
104 |
/// \brief Constructor. |
|
105 |
/// |
|
106 |
/// Constructor. |
|
107 |
/// \param map A map that assigns \c int values to the items. |
|
108 |
/// It is used internally to handle the cross references. |
|
109 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
110 |
/// \param comp The function object used for comparing the priorities. |
|
111 |
KaryHeap(ItemIntMap &map, const Compare &comp) |
|
112 |
: _iim(map), _comp(comp) {} |
|
113 |
|
|
114 |
/// \brief The number of items stored in the heap. |
|
115 |
/// |
|
116 |
/// This function returns the number of items stored in the heap. |
|
117 |
int size() const { return _data.size(); } |
|
118 |
|
|
119 |
/// \brief Check if the heap is empty. |
|
120 |
/// |
|
121 |
/// This function returns \c true if the heap is empty. |
|
122 |
bool empty() const { return _data.empty(); } |
|
123 |
|
|
124 |
/// \brief Make the heap empty. |
|
125 |
/// |
|
126 |
/// This functon makes the heap empty. |
|
127 |
/// It does not change the cross reference map. If you want to reuse |
|
128 |
/// a heap that is not surely empty, you should first clear it and |
|
129 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
130 |
/// for each item. |
|
131 |
void clear() { _data.clear(); } |
|
132 |
|
|
133 |
private: |
|
134 |
int parent(int i) { return (i-1)/K; } |
|
135 |
int firstChild(int i) { return K*i+1; } |
|
136 |
|
|
137 |
bool less(const Pair &p1, const Pair &p2) const { |
|
138 |
return _comp(p1.second, p2.second); |
|
139 |
} |
|
140 |
|
|
141 |
void bubbleUp(int hole, Pair p) { |
|
142 |
int par = parent(hole); |
|
143 |
while( hole>0 && less(p,_data[par]) ) { |
|
144 |
move(_data[par],hole); |
|
145 |
hole = par; |
|
146 |
par = parent(hole); |
|
147 |
} |
|
148 |
move(p, hole); |
|
149 |
} |
|
150 |
|
|
151 |
void bubbleDown(int hole, Pair p, int length) { |
|
152 |
if( length>1 ) { |
|
153 |
int child = firstChild(hole); |
|
154 |
while( child+K<=length ) { |
|
155 |
int min=child; |
|
156 |
for (int i=1; i<K; ++i) { |
|
157 |
if( less(_data[child+i], _data[min]) ) |
|
158 |
min=child+i; |
|
159 |
} |
|
160 |
if( !less(_data[min], p) ) |
|
161 |
goto ok; |
|
162 |
move(_data[min], hole); |
|
163 |
hole = min; |
|
164 |
child = firstChild(hole); |
|
165 |
} |
|
166 |
if ( child<length ) { |
|
167 |
int min = child; |
|
168 |
while (++child < length) { |
|
169 |
if( less(_data[child], _data[min]) ) |
|
170 |
min=child; |
|
171 |
} |
|
172 |
if( less(_data[min], p) ) { |
|
173 |
move(_data[min], hole); |
|
174 |
hole = min; |
|
175 |
} |
|
176 |
} |
|
177 |
} |
|
178 |
ok: |
|
179 |
move(p, hole); |
|
180 |
} |
|
181 |
|
|
182 |
void move(const Pair &p, int i) { |
|
183 |
_data[i] = p; |
|
184 |
_iim.set(p.first, i); |
|
185 |
} |
|
186 |
|
|
187 |
public: |
|
188 |
/// \brief Insert a pair of item and priority into the heap. |
|
189 |
/// |
|
190 |
/// This function inserts \c p.first to the heap with priority |
|
191 |
/// \c p.second. |
|
192 |
/// \param p The pair to insert. |
|
193 |
/// \pre \c p.first must not be stored in the heap. |
|
194 |
void push(const Pair &p) { |
|
195 |
int n = _data.size(); |
|
196 |
_data.resize(n+1); |
|
197 |
bubbleUp(n, p); |
|
198 |
} |
|
199 |
|
|
200 |
/// \brief Insert an item into the heap with the given priority. |
|
201 |
/// |
|
202 |
/// This function inserts the given item into the heap with the |
|
203 |
/// given priority. |
|
204 |
/// \param i The item to insert. |
|
205 |
/// \param p The priority of the item. |
|
206 |
/// \pre \e i must not be stored in the heap. |
|
207 |
void push(const Item &i, const Prio &p) { push(Pair(i,p)); } |
|
208 |
|
|
209 |
/// \brief Return the item having minimum priority. |
|
210 |
/// |
|
211 |
/// This function returns the item having minimum priority. |
|
212 |
/// \pre The heap must be non-empty. |
|
213 |
Item top() const { return _data[0].first; } |
|
214 |
|
|
215 |
/// \brief The minimum priority. |
|
216 |
/// |
|
217 |
/// This function returns the minimum priority. |
|
218 |
/// \pre The heap must be non-empty. |
|
219 |
Prio prio() const { return _data[0].second; } |
|
220 |
|
|
221 |
/// \brief Remove the item having minimum priority. |
|
222 |
/// |
|
223 |
/// This function removes the item having minimum priority. |
|
224 |
/// \pre The heap must be non-empty. |
|
225 |
void pop() { |
|
226 |
int n = _data.size()-1; |
|
227 |
_iim.set(_data[0].first, POST_HEAP); |
|
228 |
if (n>0) bubbleDown(0, _data[n], n); |
|
229 |
_data.pop_back(); |
|
230 |
} |
|
231 |
|
|
232 |
/// \brief Remove the given item from the heap. |
|
233 |
/// |
|
234 |
/// This function removes the given item from the heap if it is |
|
235 |
/// already stored. |
|
236 |
/// \param i The item to delete. |
|
237 |
/// \pre \e i must be in the heap. |
|
238 |
void erase(const Item &i) { |
|
239 |
int h = _iim[i]; |
|
240 |
int n = _data.size()-1; |
|
241 |
_iim.set(_data[h].first, POST_HEAP); |
|
242 |
if( h<n ) { |
|
243 |
if( less(_data[parent(h)], _data[n]) ) |
|
244 |
bubbleDown(h, _data[n], n); |
|
245 |
else |
|
246 |
bubbleUp(h, _data[n]); |
|
247 |
} |
|
248 |
_data.pop_back(); |
|
249 |
} |
|
250 |
|
|
251 |
/// \brief The priority of the given item. |
|
252 |
/// |
|
253 |
/// This function returns the priority of the given item. |
|
254 |
/// \param i The item. |
|
255 |
/// \pre \e i must be in the heap. |
|
256 |
Prio operator[](const Item &i) const { |
|
257 |
int idx = _iim[i]; |
|
258 |
return _data[idx].second; |
|
259 |
} |
|
260 |
|
|
261 |
/// \brief Set the priority of an item or insert it, if it is |
|
262 |
/// not stored in the heap. |
|
263 |
/// |
|
264 |
/// This method sets the priority of the given item if it is |
|
265 |
/// already stored in the heap. Otherwise it inserts the given |
|
266 |
/// item into the heap with the given priority. |
|
267 |
/// \param i The item. |
|
268 |
/// \param p The priority. |
|
269 |
void set(const Item &i, const Prio &p) { |
|
270 |
int idx = _iim[i]; |
|
271 |
if( idx<0 ) |
|
272 |
push(i,p); |
|
273 |
else if( _comp(p, _data[idx].second) ) |
|
274 |
bubbleUp(idx, Pair(i,p)); |
|
275 |
else |
|
276 |
bubbleDown(idx, Pair(i,p), _data.size()); |
|
277 |
} |
|
278 |
|
|
279 |
/// \brief Decrease the priority of an item to the given value. |
|
280 |
/// |
|
281 |
/// This function decreases the priority of an item to the given value. |
|
282 |
/// \param i The item. |
|
283 |
/// \param p The priority. |
|
284 |
/// \pre \e i must be stored in the heap with priority at least \e p. |
|
285 |
void decrease(const Item &i, const Prio &p) { |
|
286 |
int idx = _iim[i]; |
|
287 |
bubbleUp(idx, Pair(i,p)); |
|
288 |
} |
|
289 |
|
|
290 |
/// \brief Increase the priority of an item to the given value. |
|
291 |
/// |
|
292 |
/// This function increases the priority of an item to the given value. |
|
293 |
/// \param i The item. |
|
294 |
/// \param p The priority. |
|
295 |
/// \pre \e i must be stored in the heap with priority at most \e p. |
|
296 |
void increase(const Item &i, const Prio &p) { |
|
297 |
int idx = _iim[i]; |
|
298 |
bubbleDown(idx, Pair(i,p), _data.size()); |
|
299 |
} |
|
300 |
|
|
301 |
/// \brief Return the state of an item. |
|
302 |
/// |
|
303 |
/// This method returns \c PRE_HEAP if the given item has never |
|
304 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
|
305 |
/// and \c POST_HEAP otherwise. |
|
306 |
/// In the latter case it is possible that the item will get back |
|
307 |
/// to the heap again. |
|
308 |
/// \param i The item. |
|
309 |
State state(const Item &i) const { |
|
310 |
int s = _iim[i]; |
|
311 |
if (s>=0) s=0; |
|
312 |
return State(s); |
|
313 |
} |
|
314 |
|
|
315 |
/// \brief Set the state of an item in the heap. |
|
316 |
/// |
|
317 |
/// This function sets the state of the given item in the heap. |
|
318 |
/// It can be used to manually clear the heap when it is important |
|
319 |
/// to achive better time complexity. |
|
320 |
/// \param i The item. |
|
321 |
/// \param st The state. It should not be \c IN_HEAP. |
|
322 |
void state(const Item& i, State st) { |
|
323 |
switch (st) { |
|
324 |
case POST_HEAP: |
|
325 |
case PRE_HEAP: |
|
326 |
if (state(i) == IN_HEAP) erase(i); |
|
327 |
_iim[i] = st; |
|
328 |
break; |
|
329 |
case IN_HEAP: |
|
330 |
break; |
|
331 |
} |
|
332 |
} |
|
333 |
|
|
334 |
/// \brief Replace an item in the heap. |
|
335 |
/// |
|
336 |
/// This function replaces item \c i with item \c j. |
|
337 |
/// Item \c i must be in the heap, while \c j must be out of the heap. |
|
338 |
/// After calling this method, item \c i will be out of the |
|
339 |
/// heap and \c j will be in the heap with the same prioriority |
|
340 |
/// as item \c i had before. |
|
341 |
void replace(const Item& i, const Item& j) { |
|
342 |
int idx=_iim[i]; |
|
343 |
_iim.set(i, _iim[j]); |
|
344 |
_iim.set(j, idx); |
|
345 |
_data[idx].first=j; |
|
346 |
} |
|
347 |
|
|
348 |
}; // class KaryHeap |
|
349 |
|
|
350 |
} // namespace lemon |
|
351 |
|
|
352 |
#endif // LEMON_KARY_HEAP_H |
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 |
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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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|
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#ifndef LEMON_PAIRING_HEAP_H |
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#define LEMON_PAIRING_HEAP_H |
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|
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///\file |
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///\ingroup heaps |
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///\brief Pairing 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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#include <lemon/math.h> |
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|
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namespace lemon { |
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|
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/// \ingroup heaps |
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/// |
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///\brief Pairing Heap. |
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/// |
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/// This class implements the \e pairing \e heap data structure. |
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/// It fully conforms to the \ref concepts::Heap "heap concept". |
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/// |
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/// The methods \ref increase() and \ref erase() are not efficient |
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/// in a pairing heap. In case of many calls of these operations, |
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/// it is better to use other heap structure, e.g. \ref BinHeap |
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/// "binary heap". |
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/// |
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/// \tparam PR Type of the priorities of the items. |
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/// \tparam IM A read-writable item map with \c int values, used |
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/// internally to handle the cross references. |
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/// \tparam CMP A functor class for comparing the priorities. |
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/// The default is \c std::less<PR>. |
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#ifdef DOXYGEN |
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template <typename PR, typename IM, typename CMP> |
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#else |
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template <typename PR, typename IM, typename CMP = std::less<PR> > |
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#endif |
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class PairingHeap { |
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public: |
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/// Type of the item-int map. |
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typedef IM ItemIntMap; |
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/// Type of the priorities. |
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typedef PR Prio; |
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/// Type of the items stored in the heap. |
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typedef typename ItemIntMap::Key Item; |
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/// Functor type for comparing the priorities. |
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typedef CMP Compare; |
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|
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/// \brief Type to represent the states of the items. |
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/// |
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/// Each item has a state associated to it. It can 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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private: |
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class store; |
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|
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std::vector<store> _data; |
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int _min; |
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ItemIntMap &_iim; |
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Compare _comp; |
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int _num_items; |
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|
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public: |
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/// \brief Constructor. |
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/// |
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/// Constructor. |
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/// \param map A map that assigns \c int values to the items. |
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/// It is used internally to handle the cross references. |
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/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
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explicit PairingHeap(ItemIntMap &map) |
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: _min(0), _iim(map), _num_items(0) {} |
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|
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/// \brief Constructor. |
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/// |
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/// Constructor. |
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/// \param map A map that assigns \c int values to the items. |
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/// It is used internally to handle the cross references. |
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/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
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/// \param comp The function object used for comparing the priorities. |
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PairingHeap(ItemIntMap &map, const Compare &comp) |
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: _min(0), _iim(map), _comp(comp), _num_items(0) {} |
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|
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/// \brief The number of items stored in the heap. |
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/// |
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/// This function returns the number of items stored in the heap. |
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int size() const { return _num_items; } |
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|
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/// \brief Check if the heap is empty. |
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/// |
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/// This function returns \c true if the heap is empty. |
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bool empty() const { return _num_items==0; } |
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|
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/// \brief Make the heap empty. |
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/// |
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/// This functon makes the heap empty. |
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/// It does not change the cross reference map. If you want to reuse |
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/// a heap that is not surely empty, you should first clear it and |
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/// then you should set the cross reference map to \c PRE_HEAP |
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/// for each item. |
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void clear() { |
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_data.clear(); |
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_min = 0; |
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_num_items = 0; |
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} |
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|
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/// \brief Set the priority of an item or insert it, if it is |
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/// not stored in the heap. |
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/// |
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/// This method sets the priority of the given item if it is |
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/// already stored in the heap. Otherwise it inserts the given |
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/// item into the heap with the given priority. |
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/// \param item The item. |
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/// \param value The priority. |
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void set (const Item& item, const Prio& value) { |
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int i=_iim[item]; |
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if ( i>=0 && _data[i].in ) { |
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if ( _comp(value, _data[i].prio) ) decrease(item, value); |
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if ( _comp(_data[i].prio, value) ) increase(item, value); |
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} else push(item, value); |
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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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/// This function inserts the given item into the heap with the |
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/// given priority. |
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/// \param item The item to insert. |
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/// \param value The priority of the item. |
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/// \pre \e item must not be stored in the heap. |
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void push (const Item& item, const Prio& value) { |
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int i=_iim[item]; |
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if( i<0 ) { |
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int s=_data.size(); |
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_iim.set(item, s); |
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store st; |
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st.name=item; |
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_data.push_back(st); |
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i=s; |
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} else { |
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_data[i].parent=_data[i].child=-1; |
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_data[i].left_child=false; |
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_data[i].degree=0; |
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_data[i].in=true; |
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} |
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|
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_data[i].prio=value; |
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|
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if ( _num_items!=0 ) { |
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if ( _comp( value, _data[_min].prio) ) { |
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fuse(i,_min); |
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_min=i; |
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} |
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else fuse(_min,i); |
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} |
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else _min=i; |
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|
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++_num_items; |
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} |
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|
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/// \brief Return the item having minimum priority. |
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/// |
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/// This function returns the item having minimum priority. |
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/// \pre The heap must be non-empty. |
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Item top() const { return _data[_min].name; } |
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|
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/// \brief The minimum priority. |
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/// |
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/// This function returns the minimum priority. |
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/// \pre The heap must be non-empty. |
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const Prio& prio() const { return _data[_min].prio; } |
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|
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/// \brief The priority of the given item. |
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/// |
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/// This function returns the priority of the given item. |
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/// \param item The item. |
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/// \pre \e item must be in the heap. |
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const Prio& operator[](const Item& item) const { |
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return _data[_iim[item]].prio; |
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} |
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|
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/// \brief Remove the item having minimum priority. |
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/// |
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/// This function removes the item having minimum priority. |
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/// \pre The heap must be non-empty. |
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void pop() { |
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std::vector<int> trees; |
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int i=0, child_right = 0; |
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_data[_min].in=false; |
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|
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if( -1!=_data[_min].child ) { |
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i=_data[_min].child; |
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trees.push_back(i); |
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_data[i].parent = -1; |
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_data[_min].child = -1; |
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|
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int ch=-1; |
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while( _data[i].child!=-1 ) { |
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ch=_data[i].child; |
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if( _data[ch].left_child && i==_data[ch].parent ) { |
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break; |
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} else { |
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if( _data[ch].left_child ) { |
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child_right=_data[ch].parent; |
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_data[ch].parent = i; |
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--_data[i].degree; |
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} |
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else { |
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child_right=ch; |
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_data[i].child=-1; |
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_data[i].degree=0; |
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} |
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_data[child_right].parent = -1; |
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trees.push_back(child_right); |
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i = child_right; |
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} |
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} |
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|
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int num_child = trees.size(); |
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int other; |
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for( i=0; i<num_child-1; i+=2 ) { |
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if ( !_comp(_data[trees[i]].prio, _data[trees[i+1]].prio) ) { |
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other=trees[i]; |
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trees[i]=trees[i+1]; |
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trees[i+1]=other; |
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} |
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fuse( trees[i], trees[i+1] ); |
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} |
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|
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i = (0==(num_child % 2)) ? num_child-2 : num_child-1; |
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while(i>=2) { |
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if ( _comp(_data[trees[i]].prio, _data[trees[i-2]].prio) ) { |
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other=trees[i]; |
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trees[i]=trees[i-2]; |
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trees[i-2]=other; |
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} |
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fuse( trees[i-2], trees[i] ); |
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i-=2; |
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} |
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_min = trees[0]; |
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} |
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else { |
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_min = _data[_min].child; |
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} |
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269 |
|
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if (_min >= 0) _data[_min].left_child = false; |
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--_num_items; |
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272 |
} |
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273 |
|
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/// \brief Remove the given item from the heap. |
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275 |
/// |
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276 |
/// This function removes the given item from the heap if it is |
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277 |
/// already stored. |
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278 |
/// \param item The item to delete. |
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279 |
/// \pre \e item must be in the heap. |
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280 |
void erase (const Item& item) { |
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281 |
int i=_iim[item]; |
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282 |
if ( i>=0 && _data[i].in ) { |
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283 |
decrease( item, _data[_min].prio-1 ); |
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284 |
pop(); |
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285 |
} |
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286 |
} |
|
287 |
|
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288 |
/// \brief Decrease the priority of an item to the given value. |
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289 |
/// |
|
290 |
/// This function decreases the priority of an item to the given value. |
|
291 |
/// \param item The item. |
|
292 |
/// \param value The priority. |
|
293 |
/// \pre \e item must be stored in the heap with priority at least \e value. |
|
294 |
void decrease (Item item, const Prio& value) { |
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295 |
int i=_iim[item]; |
|
296 |
_data[i].prio=value; |
|
297 |
int p=_data[i].parent; |
|
298 |
|
|
299 |
if( _data[i].left_child && i!=_data[p].child ) { |
|
300 |
p=_data[p].parent; |
|
301 |
} |
|
302 |
|
|
303 |
if ( p!=-1 && _comp(value,_data[p].prio) ) { |
|
304 |
cut(i,p); |
|
305 |
if ( _comp(_data[_min].prio,value) ) { |
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306 |
fuse(_min,i); |
|
307 |
} else { |
|
308 |
fuse(i,_min); |
|
309 |
_min=i; |
|
310 |
} |
|
311 |
} |
|
312 |
} |
|
313 |
|
|
314 |
/// \brief Increase the priority of an item to the given value. |
|
315 |
/// |
|
316 |
/// This function increases the priority of an item to the given value. |
|
317 |
/// \param item The item. |
|
318 |
/// \param value The priority. |
|
319 |
/// \pre \e item must be stored in the heap with priority at most \e value. |
|
320 |
void increase (Item item, const Prio& value) { |
|
321 |
erase(item); |
|
322 |
push(item,value); |
|
323 |
} |
|
324 |
|
|
325 |
/// \brief Return the state of an item. |
|
326 |
/// |
|
327 |
/// This method returns \c PRE_HEAP if the given item has never |
|
328 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
|
329 |
/// and \c POST_HEAP otherwise. |
|
330 |
/// In the latter case it is possible that the item will get back |
|
331 |
/// to the heap again. |
|
332 |
/// \param item The item. |
|
333 |
State state(const Item &item) const { |
|
334 |
int i=_iim[item]; |
|
335 |
if( i>=0 ) { |
|
336 |
if( _data[i].in ) i=0; |
|
337 |
else i=-2; |
|
338 |
} |
|
339 |
return State(i); |
|
340 |
} |
|
341 |
|
|
342 |
/// \brief Set the state of an item in the heap. |
|
343 |
/// |
|
344 |
/// This function sets the state of the given item in the heap. |
|
345 |
/// It can be used to manually clear the heap when it is important |
|
346 |
/// to achive better time complexity. |
|
347 |
/// \param i The item. |
|
348 |
/// \param st The state. It should not be \c IN_HEAP. |
|
349 |
void state(const Item& i, State st) { |
|
350 |
switch (st) { |
|
351 |
case POST_HEAP: |
|
352 |
case PRE_HEAP: |
|
353 |
if (state(i) == IN_HEAP) erase(i); |
|
354 |
_iim[i]=st; |
|
355 |
break; |
|
356 |
case IN_HEAP: |
|
357 |
break; |
|
358 |
} |
|
359 |
} |
|
360 |
|
|
361 |
private: |
|
362 |
|
|
363 |
void cut(int a, int b) { |
|
364 |
int child_a; |
|
365 |
switch (_data[a].degree) { |
|
366 |
case 2: |
|
367 |
child_a = _data[_data[a].child].parent; |
|
368 |
if( _data[a].left_child ) { |
|
369 |
_data[child_a].left_child=true; |
|
370 |
_data[b].child=child_a; |
|
371 |
_data[child_a].parent=_data[a].parent; |
|
372 |
} |
|
373 |
else { |
|
374 |
_data[child_a].left_child=false; |
|
375 |
_data[child_a].parent=b; |
|
376 |
if( a!=_data[b].child ) |
|
377 |
_data[_data[b].child].parent=child_a; |
|
378 |
else |
|
379 |
_data[b].child=child_a; |
|
380 |
} |
|
381 |
--_data[a].degree; |
|
382 |
_data[_data[a].child].parent=a; |
|
383 |
break; |
|
384 |
|
|
385 |
case 1: |
|
386 |
child_a = _data[a].child; |
|
387 |
if( !_data[child_a].left_child ) { |
|
388 |
--_data[a].degree; |
|
389 |
if( _data[a].left_child ) { |
|
390 |
_data[child_a].left_child=true; |
|
391 |
_data[child_a].parent=_data[a].parent; |
|
392 |
_data[b].child=child_a; |
|
393 |
} |
|
394 |
else { |
|
395 |
_data[child_a].left_child=false; |
|
396 |
_data[child_a].parent=b; |
|
397 |
if( a!=_data[b].child ) |
|
398 |
_data[_data[b].child].parent=child_a; |
|
399 |
else |
|
400 |
_data[b].child=child_a; |
|
401 |
} |
|
402 |
_data[a].child=-1; |
|
403 |
} |
|
404 |
else { |
|
405 |
--_data[b].degree; |
|
406 |
if( _data[a].left_child ) { |
|
407 |
_data[b].child = |
|
408 |
(1==_data[b].degree) ? _data[a].parent : -1; |
|
409 |
} else { |
|
410 |
if (1==_data[b].degree) |
|
411 |
_data[_data[b].child].parent=b; |
|
412 |
else |
|
413 |
_data[b].child=-1; |
|
414 |
} |
|
415 |
} |
|
416 |
break; |
|
417 |
|
|
418 |
case 0: |
|
419 |
--_data[b].degree; |
|
420 |
if( _data[a].left_child ) { |
|
421 |
_data[b].child = |
|
422 |
(0!=_data[b].degree) ? _data[a].parent : -1; |
|
423 |
} else { |
|
424 |
if( 0!=_data[b].degree ) |
|
425 |
_data[_data[b].child].parent=b; |
|
426 |
else |
|
427 |
_data[b].child=-1; |
|
428 |
} |
|
429 |
break; |
|
430 |
} |
|
431 |
_data[a].parent=-1; |
|
432 |
_data[a].left_child=false; |
|
433 |
} |
|
434 |
|
|
435 |
void fuse(int a, int b) { |
|
436 |
int child_a = _data[a].child; |
|
437 |
int child_b = _data[b].child; |
|
438 |
_data[a].child=b; |
|
439 |
_data[b].parent=a; |
|
440 |
_data[b].left_child=true; |
|
441 |
|
|
442 |
if( -1!=child_a ) { |
|
443 |
_data[b].child=child_a; |
|
444 |
_data[child_a].parent=b; |
|
445 |
_data[child_a].left_child=false; |
|
446 |
++_data[b].degree; |
|
447 |
|
|
448 |
if( -1!=child_b ) { |
|
449 |
_data[b].child=child_b; |
|
450 |
_data[child_b].parent=child_a; |
|
451 |
} |
|
452 |
} |
|
453 |
else { ++_data[a].degree; } |
|
454 |
} |
|
455 |
|
|
456 |
class store { |
|
457 |
friend class PairingHeap; |
|
458 |
|
|
459 |
Item name; |
|
460 |
int parent; |
|
461 |
int child; |
|
462 |
bool left_child; |
|
463 |
int degree; |
|
464 |
bool in; |
|
465 |
Prio prio; |
|
466 |
|
|
467 |
store() : parent(-1), child(-1), left_child(false), degree(0), in(true) {} |
|
468 |
}; |
|
469 |
}; |
|
470 |
|
|
471 |
} //namespace lemon |
|
472 |
|
|
473 |
#endif //LEMON_PAIRING_HEAP_H |
|
474 |
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 |
#include <lemon/concepts/digraph.h> |
|
20 |
#include <lemon/smart_graph.h> |
|
21 |
#include <lemon/list_graph.h> |
|
22 |
#include <lemon/lgf_reader.h> |
|
23 |
#include <lemon/bellman_ford.h> |
|
24 |
#include <lemon/path.h> |
|
25 |
|
|
26 |
#include "graph_test.h" |
|
27 |
#include "test_tools.h" |
|
28 |
|
|
29 |
using namespace lemon; |
|
30 |
|
|
31 |
char test_lgf[] = |
|
32 |
"@nodes\n" |
|
33 |
"label\n" |
|
34 |
"0\n" |
|
35 |
"1\n" |
|
36 |
"2\n" |
|
37 |
"3\n" |
|
38 |
"4\n" |
|
39 |
"@arcs\n" |
|
40 |
" length\n" |
|
41 |
"0 1 3\n" |
|
42 |
"1 2 -3\n" |
|
43 |
"1 2 -5\n" |
|
44 |
"1 3 -2\n" |
|
45 |
"0 2 -1\n" |
|
46 |
"1 2 -4\n" |
|
47 |
"0 3 2\n" |
|
48 |
"4 2 -5\n" |
|
49 |
"2 3 1\n" |
|
50 |
"@attributes\n" |
|
51 |
"source 0\n" |
|
52 |
"target 3\n"; |
|
53 |
|
|
54 |
|
|
55 |
void checkBellmanFordCompile() |
|
56 |
{ |
|
57 |
typedef int Value; |
|
58 |
typedef concepts::Digraph Digraph; |
|
59 |
typedef concepts::ReadMap<Digraph::Arc,Value> LengthMap; |
|
60 |
typedef BellmanFord<Digraph, LengthMap> BF; |
|
61 |
typedef Digraph::Node Node; |
|
62 |
typedef Digraph::Arc Arc; |
|
63 |
|
|
64 |
Digraph gr; |
|
65 |
Node s, t, n; |
|
66 |
Arc e; |
|
67 |
Value l; |
|
68 |
int k; |
|
69 |
bool b; |
|
70 |
BF::DistMap d(gr); |
|
71 |
BF::PredMap p(gr); |
|
72 |
LengthMap length; |
|
73 |
concepts::Path<Digraph> pp; |
|
74 |
|
|
75 |
{ |
|
76 |
BF bf_test(gr,length); |
|
77 |
const BF& const_bf_test = bf_test; |
|
78 |
|
|
79 |
bf_test.run(s); |
|
80 |
bf_test.run(s,k); |
|
81 |
|
|
82 |
bf_test.init(); |
|
83 |
bf_test.addSource(s); |
|
84 |
bf_test.addSource(s, 1); |
|
85 |
b = bf_test.processNextRound(); |
|
86 |
b = bf_test.processNextWeakRound(); |
|
87 |
|
|
88 |
bf_test.start(); |
|
89 |
bf_test.checkedStart(); |
|
90 |
bf_test.limitedStart(k); |
|
91 |
|
|
92 |
l = const_bf_test.dist(t); |
|
93 |
e = const_bf_test.predArc(t); |
|
94 |
s = const_bf_test.predNode(t); |
|
95 |
b = const_bf_test.reached(t); |
|
96 |
d = const_bf_test.distMap(); |
|
97 |
p = const_bf_test.predMap(); |
|
98 |
pp = const_bf_test.path(t); |
|
99 |
|
|
100 |
for (BF::ActiveIt it(const_bf_test); it != INVALID; ++it) {} |
|
101 |
} |
|
102 |
{ |
|
103 |
BF::SetPredMap<concepts::ReadWriteMap<Node,Arc> > |
|
104 |
::SetDistMap<concepts::ReadWriteMap<Node,Value> > |
|
105 |
::SetOperationTraits<BellmanFordDefaultOperationTraits<Value> > |
|
106 |
::Create bf_test(gr,length); |
|
107 |
|
|
108 |
LengthMap length_map; |
|
109 |
concepts::ReadWriteMap<Node,Arc> pred_map; |
|
110 |
concepts::ReadWriteMap<Node,Value> dist_map; |
|
111 |
|
|
112 |
bf_test |
|
113 |
.lengthMap(length_map) |
|
114 |
.predMap(pred_map) |
|
115 |
.distMap(dist_map); |
|
116 |
|
|
117 |
bf_test.run(s); |
|
118 |
bf_test.run(s,k); |
|
119 |
|
|
120 |
bf_test.init(); |
|
121 |
bf_test.addSource(s); |
|
122 |
bf_test.addSource(s, 1); |
|
123 |
b = bf_test.processNextRound(); |
|
124 |
b = bf_test.processNextWeakRound(); |
|
125 |
|
|
126 |
bf_test.start(); |
|
127 |
bf_test.checkedStart(); |
|
128 |
bf_test.limitedStart(k); |
|
129 |
|
|
130 |
l = bf_test.dist(t); |
|
131 |
e = bf_test.predArc(t); |
|
132 |
s = bf_test.predNode(t); |
|
133 |
b = bf_test.reached(t); |
|
134 |
pp = bf_test.path(t); |
|
135 |
} |
|
136 |
} |
|
137 |
|
|
138 |
void checkBellmanFordFunctionCompile() |
|
139 |
{ |
|
140 |
typedef int Value; |
|
141 |
typedef concepts::Digraph Digraph; |
|
142 |
typedef Digraph::Arc Arc; |
|
143 |
typedef Digraph::Node Node; |
|
144 |
typedef concepts::ReadMap<Digraph::Arc,Value> LengthMap; |
|
145 |
|
|
146 |
Digraph g; |
|
147 |
bool b; |
|
148 |
bellmanFord(g,LengthMap()).run(Node()); |
|
149 |
b = bellmanFord(g,LengthMap()).run(Node(),Node()); |
|
150 |
bellmanFord(g,LengthMap()) |
|
151 |
.predMap(concepts::ReadWriteMap<Node,Arc>()) |
|
152 |
.distMap(concepts::ReadWriteMap<Node,Value>()) |
|
153 |
.run(Node()); |
|
154 |
b=bellmanFord(g,LengthMap()) |
|
155 |
.predMap(concepts::ReadWriteMap<Node,Arc>()) |
|
156 |
.distMap(concepts::ReadWriteMap<Node,Value>()) |
|
157 |
.path(concepts::Path<Digraph>()) |
|
158 |
.dist(Value()) |
|
159 |
.run(Node(),Node()); |
|
160 |
} |
|
161 |
|
|
162 |
|
|
163 |
template <typename Digraph, typename Value> |
|
164 |
void checkBellmanFord() { |
|
165 |
TEMPLATE_DIGRAPH_TYPEDEFS(Digraph); |
|
166 |
typedef typename Digraph::template ArcMap<Value> LengthMap; |
|
167 |
|
|
168 |
Digraph gr; |
|
169 |
Node s, t; |
|
170 |
LengthMap length(gr); |
|
171 |
|
|
172 |
std::istringstream input(test_lgf); |
|
173 |
digraphReader(gr, input). |
|
174 |
arcMap("length", length). |
|
175 |
node("source", s). |
|
176 |
node("target", t). |
|
177 |
run(); |
|
178 |
|
|
179 |
BellmanFord<Digraph, LengthMap> |
|
180 |
bf(gr, length); |
|
181 |
bf.run(s); |
|
182 |
Path<Digraph> p = bf.path(t); |
|
183 |
|
|
184 |
check(bf.reached(t) && bf.dist(t) == -1, "Bellman-Ford found a wrong path."); |
|
185 |
check(p.length() == 3, "path() found a wrong path."); |
|
186 |
check(checkPath(gr, p), "path() found a wrong path."); |
|
187 |
check(pathSource(gr, p) == s, "path() found a wrong path."); |
|
188 |
check(pathTarget(gr, p) == t, "path() found a wrong path."); |
|
189 |
|
|
190 |
ListPath<Digraph> path; |
|
191 |
Value dist; |
|
192 |
bool reached = bellmanFord(gr,length).path(path).dist(dist).run(s,t); |
|
193 |
|
|
194 |
check(reached && dist == -1, "Bellman-Ford found a wrong path."); |
|
195 |
check(path.length() == 3, "path() found a wrong path."); |
|
196 |
check(checkPath(gr, path), "path() found a wrong path."); |
|
197 |
check(pathSource(gr, path) == s, "path() found a wrong path."); |
|
198 |
check(pathTarget(gr, path) == t, "path() found a wrong path."); |
|
199 |
|
|
200 |
for(ArcIt e(gr); e!=INVALID; ++e) { |
|
201 |
Node u=gr.source(e); |
|
202 |
Node v=gr.target(e); |
|
203 |
check(!bf.reached(u) || (bf.dist(v) - bf.dist(u) <= length[e]), |
|
204 |
"Wrong output. dist(target)-dist(source)-arc_length=" << |
|
205 |
bf.dist(v) - bf.dist(u) - length[e]); |
|
206 |
} |
|
207 |
|
|
208 |
for(NodeIt v(gr); v!=INVALID; ++v) { |
|
209 |
if (bf.reached(v)) { |
|
210 |
check(v==s || bf.predArc(v)!=INVALID, "Wrong tree."); |
|
211 |
if (bf.predArc(v)!=INVALID ) { |
|
212 |
Arc e=bf.predArc(v); |
|
213 |
Node u=gr.source(e); |
|
214 |
check(u==bf.predNode(v),"Wrong tree."); |
|
215 |
check(bf.dist(v) - bf.dist(u) == length[e], |
|
216 |
"Wrong distance! Difference: " << |
|
217 |
bf.dist(v) - bf.dist(u) - length[e]); |
|
218 |
} |
|
219 |
} |
|
220 |
} |
|
221 |
} |
|
222 |
|
|
223 |
void checkBellmanFordNegativeCycle() { |
|
224 |
DIGRAPH_TYPEDEFS(SmartDigraph); |
|
225 |
|
|
226 |
SmartDigraph gr; |
|
227 |
IntArcMap length(gr); |
|
228 |
|
|
229 |
Node n1 = gr.addNode(); |
|
230 |
Node n2 = gr.addNode(); |
|
231 |
Node n3 = gr.addNode(); |
|
232 |
Node n4 = gr.addNode(); |
|
233 |
|
|
234 |
Arc a1 = gr.addArc(n1, n2); |
|
235 |
Arc a2 = gr.addArc(n2, n2); |
|
236 |
|
|
237 |
length[a1] = 2; |
|
238 |
length[a2] = -1; |
|
239 |
|
|
240 |
{ |
|
241 |
BellmanFord<SmartDigraph, IntArcMap> bf(gr, length); |
|
242 |
bf.run(n1); |
|
243 |
StaticPath<SmartDigraph> p = bf.negativeCycle(); |
|
244 |
check(p.length() == 1 && p.front() == p.back() && p.front() == a2, |
|
245 |
"Wrong negative cycle."); |
|
246 |
} |
|
247 |
|
|
248 |
length[a2] = 0; |
|
249 |
|
|
250 |
{ |
|
251 |
BellmanFord<SmartDigraph, IntArcMap> bf(gr, length); |
|
252 |
bf.run(n1); |
|
253 |
check(bf.negativeCycle().empty(), |
|
254 |
"Negative cycle should not be found."); |
|
255 |
} |
|
256 |
|
|
257 |
length[gr.addArc(n1, n3)] = 5; |
|
258 |
length[gr.addArc(n4, n3)] = 1; |
|
259 |
length[gr.addArc(n2, n4)] = 2; |
|
260 |
length[gr.addArc(n3, n2)] = -4; |
|
261 |
|
|
262 |
{ |
|
263 |
BellmanFord<SmartDigraph, IntArcMap> bf(gr, length); |
|
264 |
bf.init(); |
|
265 |
bf.addSource(n1); |
|
266 |
for (int i = 0; i < 4; ++i) { |
|
267 |
check(bf.negativeCycle().empty(), |
|
268 |
"Negative cycle should not be found."); |
|
269 |
bf.processNextRound(); |
|
270 |
} |
|
271 |
StaticPath<SmartDigraph> p = bf.negativeCycle(); |
|
272 |
check(p.length() == 3, "Wrong negative cycle."); |
|
273 |
check(length[p.nth(0)] + length[p.nth(1)] + length[p.nth(2)] == -1, |
|
274 |
"Wrong negative cycle."); |
|
275 |
} |
|
276 |
} |
|
277 |
|
|
278 |
int main() { |
|
279 |
checkBellmanFord<ListDigraph, int>(); |
|
280 |
checkBellmanFord<SmartDigraph, double>(); |
|
281 |
checkBellmanFordNegativeCycle(); |
|
282 |
return 0; |
|
283 |
} |
... | ... |
@@ -228,10 +228,2 @@ |
228 | 228 |
/** |
229 |
@defgroup matrices Matrices |
|
230 |
@ingroup datas |
|
231 |
\brief Two dimensional data storages implemented in LEMON. |
|
232 |
|
|
233 |
This group contains two dimensional data storages implemented in LEMON. |
|
234 |
*/ |
|
235 |
|
|
236 |
/** |
|
237 | 229 |
@defgroup paths Path Structures |
... | ... |
@@ -248,3 +240,32 @@ |
248 | 240 |
|
249 |
\sa |
|
241 |
\sa \ref concepts::Path "Path concept" |
|
242 |
*/ |
|
243 |
|
|
244 |
/** |
|
245 |
@defgroup heaps Heap Structures |
|
246 |
@ingroup datas |
|
247 |
\brief %Heap structures implemented in LEMON. |
|
248 |
|
|
249 |
This group contains the heap structures implemented in LEMON. |
|
250 |
|
|
251 |
LEMON provides several heap classes. They are efficient implementations |
|
252 |
of the abstract data type \e priority \e queue. They store items with |
|
253 |
specified values called \e priorities in such a way that finding and |
|
254 |
removing the item with minimum priority are efficient. |
|
255 |
The basic operations are adding and erasing items, changing the priority |
|
256 |
of an item, etc. |
|
257 |
|
|
258 |
Heaps are crucial in several algorithms, such as Dijkstra and Prim. |
|
259 |
The heap implementations have the same interface, thus any of them can be |
|
260 |
used easily in such algorithms. |
|
261 |
|
|
262 |
\sa \ref concepts::Heap "Heap concept" |
|
263 |
*/ |
|
264 |
|
|
265 |
/** |
|
266 |
@defgroup matrices Matrices |
|
267 |
@ingroup datas |
|
268 |
\brief Two dimensional data storages implemented in LEMON. |
|
269 |
|
|
270 |
This group contains two dimensional data storages implemented in LEMON. |
|
250 | 271 |
*/ |
... | ... |
@@ -261,2 +282,24 @@ |
261 | 282 |
/** |
283 |
@defgroup geomdat Geometric Data Structures |
|
284 |
@ingroup auxdat |
|
285 |
\brief Geometric data structures implemented in LEMON. |
|
286 |
|
|
287 |
This group contains geometric data structures implemented in LEMON. |
|
288 |
|
|
289 |
- \ref lemon::dim2::Point "dim2::Point" implements a two dimensional |
|
290 |
vector with the usual operations. |
|
291 |
- \ref lemon::dim2::Box "dim2::Box" can be used to determine the |
|
292 |
rectangular bounding box of a set of \ref lemon::dim2::Point |
|
293 |
"dim2::Point"'s. |
|
294 |
*/ |
|
295 |
|
|
296 |
/** |
|
297 |
@defgroup matrices Matrices |
|
298 |
@ingroup auxdat |
|
299 |
\brief Two dimensional data storages implemented in LEMON. |
|
300 |
|
|
301 |
This group contains two dimensional data storages implemented in LEMON. |
|
302 |
*/ |
|
303 |
|
|
304 |
/** |
|
262 | 305 |
@defgroup algs Algorithms |
... | ... |
@@ -300,2 +343,11 @@ |
300 | 343 |
/** |
344 |
@defgroup spantree Minimum Spanning Tree Algorithms |
|
345 |
@ingroup algs |
|
346 |
\brief Algorithms for finding minimum cost spanning trees and arborescences. |
|
347 |
|
|
348 |
This group contains the algorithms for finding minimum cost spanning |
|
349 |
trees and arborescences. |
|
350 |
*/ |
|
351 |
|
|
352 |
/** |
|
301 | 353 |
@defgroup max_flow Maximum Flow Algorithms |
... | ... |
@@ -377,3 +429,3 @@ |
377 | 429 |
\f[ \min_{X \subset V, X\not\in \{\emptyset, V\}} |
378 |
\sum_{uv\in A |
|
430 |
\sum_{uv\in A: u\in X, v\not\in X}cap(uv) \f] |
|
379 | 431 |
|
... | ... |
@@ -393,26 +445,2 @@ |
393 | 445 |
/** |
394 |
@defgroup graph_properties Connectivity and Other Graph Properties |
|
395 |
@ingroup algs |
|
396 |
\brief Algorithms for discovering the graph properties |
|
397 |
|
|
398 |
This group contains the algorithms for discovering the graph properties |
|
399 |
like connectivity, bipartiteness, euler property, simplicity etc. |
|
400 |
|
|
401 |
\image html edge_biconnected_components.png |
|
402 |
\image latex edge_biconnected_components.eps "bi-edge-connected components" width=\textwidth |
|
403 |
*/ |
|
404 |
|
|
405 |
/** |
|
406 |
@defgroup planar Planarity Embedding and Drawing |
|
407 |
@ingroup algs |
|
408 |
\brief Algorithms for planarity checking, embedding and drawing |
|
409 |
|
|
410 |
This group contains the algorithms for planarity checking, |
|
411 |
embedding and drawing. |
|
412 |
|
|
413 |
\image html planar.png |
|
414 |
\image latex planar.eps "Plane graph" width=\textwidth |
|
415 |
*/ |
|
416 |
|
|
417 |
/** |
|
418 | 446 |
@defgroup matching Matching Algorithms |
... | ... |
@@ -457,8 +485,32 @@ |
457 | 485 |
/** |
458 |
@defgroup |
|
486 |
@defgroup graph_properties Connectivity and Other Graph Properties |
|
459 | 487 |
@ingroup algs |
460 |
\brief Algorithms for |
|
488 |
\brief Algorithms for discovering the graph properties |
|
461 | 489 |
|
462 |
This group contains the algorithms for finding minimum cost spanning |
|
463 |
trees and arborescences. |
|
490 |
This group contains the algorithms for discovering the graph properties |
|
491 |
like connectivity, bipartiteness, euler property, simplicity etc. |
|
492 |
|
|
493 |
\image html connected_components.png |
|
494 |
\image latex connected_components.eps "Connected components" width=\textwidth |
|
495 |
*/ |
|
496 |
|
|
497 |
/** |
|
498 |
@defgroup planar Planarity Embedding and Drawing |
|
499 |
@ingroup algs |
|
500 |
\brief Algorithms for planarity checking, embedding and drawing |
|
501 |
|
|
502 |
This group contains the algorithms for planarity checking, |
|
503 |
embedding and drawing. |
|
504 |
|
|
505 |
\image html planar.png |
|
506 |
\image latex planar.eps "Plane graph" width=\textwidth |
|
507 |
*/ |
|
508 |
|
|
509 |
/** |
|
510 |
@defgroup approx Approximation Algorithms |
|
511 |
@ingroup algs |
|
512 |
\brief Approximation algorithms. |
|
513 |
|
|
514 |
This group contains the approximation and heuristic algorithms |
|
515 |
implemented in LEMON. |
|
464 | 516 |
*/ |
... | ... |
@@ -475,11 +527,2 @@ |
475 | 527 |
/** |
476 |
@defgroup approx Approximation Algorithms |
|
477 |
@ingroup algs |
|
478 |
\brief Approximation algorithms. |
|
479 |
|
|
480 |
This group contains the approximation and heuristic algorithms |
|
481 |
implemented in LEMON. |
|
482 |
*/ |
|
483 |
|
|
484 |
/** |
|
485 | 528 |
@defgroup gen_opt_group General Optimization Tools |
... | ... |
@@ -589,3 +632,3 @@ |
589 | 632 |
/** |
590 |
@defgroup dimacs_group DIMACS |
|
633 |
@defgroup dimacs_group DIMACS Format |
|
591 | 634 |
@ingroup io_group |
... | ... |
@@ -651,2 +694,11 @@ |
651 | 694 |
/** |
695 |
@defgroup tools Standalone Utility Applications |
|
696 |
|
|
697 |
Some utility applications are listed here. |
|
698 |
|
|
699 |
The standard compilation procedure (<tt>./configure;make</tt>) will compile |
|
700 |
them, as well. |
|
701 |
*/ |
|
702 |
|
|
703 |
/** |
|
652 | 704 |
\anchor demoprograms |
... | ... |
@@ -662,11 +714,2 @@ |
662 | 714 |
|
663 |
/** |
|
664 |
@defgroup tools Standalone Utility Applications |
|
665 |
|
|
666 |
Some utility applications are listed here. |
|
667 |
|
|
668 |
The standard compilation procedure (<tt>./configure;make</tt>) will compile |
|
669 |
them, as well. |
|
670 |
*/ |
|
671 |
|
|
672 | 715 |
} |
... | ... |
@@ -59,4 +59,6 @@ |
59 | 59 |
lemon/assert.h \ |
60 |
lemon/bellman_ford.h \ |
|
60 | 61 |
lemon/bfs.h \ |
61 | 62 |
lemon/bin_heap.h \ |
63 |
lemon/binom_heap.h \ |
|
62 | 64 |
lemon/bucket_heap.h \ |
... | ... |
@@ -80,2 +82,3 @@ |
80 | 82 |
lemon/fib_heap.h \ |
83 |
lemon/fourary_heap.h \ |
|
81 | 84 |
lemon/full_graph.h \ |
... | ... |
@@ -86,2 +89,3 @@ |
86 | 89 |
lemon/hypercube_graph.h \ |
90 |
lemon/kary_heap.h \ |
|
87 | 91 |
lemon/kruskal.h \ |
... | ... |
@@ -94,3 +98,2 @@ |
94 | 98 |
lemon/lp_skeleton.h \ |
95 |
lemon/list_graph.h \ |
|
96 | 99 |
lemon/maps.h \ |
... | ... |
@@ -101,2 +104,3 @@ |
101 | 104 |
lemon/network_simplex.h \ |
105 |
lemon/pairing_heap.h \ |
|
102 | 106 |
lemon/path.h \ |
... | ... |
@@ -49,3 +49,3 @@ |
49 | 49 |
///arcs of the shortest paths. |
50 |
///It must |
|
50 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
51 | 51 |
typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap; |
... | ... |
@@ -64,3 +64,4 @@ |
64 | 64 |
///The type of the map that indicates which nodes are processed. |
65 |
///It must |
|
65 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
66 |
///By default it is a NullMap. |
|
66 | 67 |
typedef NullMap<typename Digraph::Node,bool> ProcessedMap; |
... | ... |
@@ -83,3 +84,3 @@ |
83 | 84 |
///The type of the map that indicates which nodes are reached. |
84 |
///It must |
|
85 |
///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
|
85 | 86 |
typedef typename Digraph::template NodeMap<bool> ReachedMap; |
... | ... |
@@ -98,3 +99,3 @@ |
98 | 99 |
///The type of the map that stores the distances of the nodes. |
99 |
///It must |
|
100 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
100 | 101 |
typedef typename Digraph::template NodeMap<int> DistMap; |
... | ... |
@@ -227,3 +228,3 @@ |
227 | 228 |
///\c PredMap type. |
228 |
///It must |
|
229 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
229 | 230 |
template <class T> |
... | ... |
@@ -247,3 +248,3 @@ |
247 | 248 |
///\c DistMap type. |
248 |
///It must |
|
249 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
249 | 250 |
template <class T> |
... | ... |
@@ -267,3 +268,3 @@ |
267 | 268 |
///\c ReachedMap type. |
268 |
///It must |
|
269 |
///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
|
269 | 270 |
template <class T> |
... | ... |
@@ -287,3 +288,3 @@ |
287 | 288 |
///\c ProcessedMap type. |
288 |
///It must |
|
289 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
289 | 290 |
template <class T> |
... | ... |
@@ -415,4 +416,4 @@ |
415 | 416 |
///member functions called \ref run(Node) "run()".\n |
416 |
///If you need more control on the execution, first you have to call |
|
417 |
///\ref init(), then you can add several source nodes with |
|
417 |
///If you need better control on the execution, you have to call |
|
418 |
///\ref init() first, then you can add several source nodes with |
|
418 | 419 |
///\ref addSource(). Finally the actual path computation can be |
... | ... |
@@ -739,5 +740,5 @@ |
739 | 740 |
|
740 |
///The shortest path to |
|
741 |
///The shortest path to the given node. |
|
741 | 742 |
|
742 |
///Returns the shortest path to |
|
743 |
///Returns the shortest path to the given node from the root(s). |
|
743 | 744 |
/// |
... | ... |
@@ -749,5 +750,5 @@ |
749 | 750 |
|
750 |
///The distance of |
|
751 |
///The distance of the given node from the root(s). |
|
751 | 752 |
|
752 |
///Returns the distance of |
|
753 |
///Returns the distance of the given node from the root(s). |
|
753 | 754 |
/// |
... | ... |
@@ -760,4 +761,5 @@ |
760 | 761 |
|
761 |
///Returns the 'previous arc' of the shortest path tree for a node. |
|
762 |
|
|
762 |
///\brief Returns the 'previous arc' of the shortest path tree for |
|
763 |
///the given node. |
|
764 |
/// |
|
763 | 765 |
///This function returns the 'previous arc' of the shortest path |
... | ... |
@@ -768,3 +770,3 @@ |
768 | 770 |
///The shortest path tree used here is equal to the shortest path |
769 |
///tree used in \ref predNode(). |
|
771 |
///tree used in \ref predNode() and \ref predMap(). |
|
770 | 772 |
/// |
... | ... |
@@ -774,7 +776,8 @@ |
774 | 776 |
|
775 |
///Returns the 'previous node' of the shortest path tree for a node. |
|
776 |
|
|
777 |
///\brief Returns the 'previous node' of the shortest path tree for |
|
778 |
///the given node. |
|
779 |
/// |
|
777 | 780 |
///This function returns the 'previous node' of the shortest path |
778 | 781 |
///tree for the node \c v, i.e. it returns the last but one node |
779 |
/// |
|
782 |
///of a shortest path from a root to \c v. It is \c INVALID |
|
780 | 783 |
///if \c v is not reached from the root(s) or if \c v is a root. |
... | ... |
@@ -782,3 +785,3 @@ |
782 | 785 |
///The shortest path tree used here is equal to the shortest path |
783 |
///tree used in \ref predArc(). |
|
786 |
///tree used in \ref predArc() and \ref predMap(). |
|
784 | 787 |
/// |
... | ... |
@@ -803,3 +806,3 @@ |
803 | 806 |
///Returns a const reference to the node map that stores the predecessor |
804 |
///arcs, which form the shortest path tree. |
|
807 |
///arcs, which form the shortest path tree (forest). |
|
805 | 808 |
/// |
... | ... |
@@ -809,3 +812,3 @@ |
809 | 812 |
|
810 |
///Checks if |
|
813 |
///Checks if the given node is reached from the root(s). |
|
811 | 814 |
|
... | ... |
@@ -835,3 +838,3 @@ |
835 | 838 |
///arcs of the shortest paths. |
836 |
///It must |
|
839 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
837 | 840 |
typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap; |
... | ... |
@@ -850,3 +853,3 @@ |
850 | 853 |
///The type of the map that indicates which nodes are processed. |
851 |
///It must |
|
854 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
852 | 855 |
///By default it is a NullMap. |
... | ... |
@@ -870,3 +873,3 @@ |
870 | 873 |
///The type of the map that indicates which nodes are reached. |
871 |
///It must |
|
874 |
///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
|
872 | 875 |
typedef typename Digraph::template NodeMap<bool> ReachedMap; |
... | ... |
@@ -885,3 +888,3 @@ |
885 | 888 |
///The type of the map that stores the distances of the nodes. |
886 |
///It must |
|
889 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
887 | 890 |
typedef typename Digraph::template NodeMap<int> DistMap; |
... | ... |
@@ -900,3 +903,3 @@ |
900 | 903 |
///The type of the shortest paths. |
901 |
///It must |
|
904 |
///It must conform to the \ref concepts::Path "Path" concept. |
|
902 | 905 |
typedef lemon::Path<Digraph> Path; |
... | ... |
@@ -906,8 +909,4 @@ |
906 | 909 |
|
907 |
/// To make it easier to use Bfs algorithm |
|
908 |
/// we have created a wizard class. |
|
909 |
/// This \ref BfsWizard class needs default traits, |
|
910 |
/// as well as the \ref Bfs class. |
|
911 |
/// The \ref BfsWizardBase is a class to be the default traits of the |
|
912 |
/// \ref BfsWizard class. |
|
910 |
/// Default traits class used by BfsWizard. |
|
911 |
/// \tparam GR The type of the digraph. |
|
913 | 912 |
template<class GR> |
... | ... |
@@ -939,3 +938,3 @@ |
939 | 938 |
|
940 |
/// This constructor does not require parameters, |
|
939 |
/// This constructor does not require parameters, it initiates |
|
941 | 940 |
/// all of the attributes to \c 0. |
... | ... |
@@ -969,3 +968,2 @@ |
969 | 968 |
|
970 |
///The type of the digraph the algorithm runs on. |
|
971 | 969 |
typedef typename TR::Digraph Digraph; |
... | ... |
@@ -977,12 +975,6 @@ |
977 | 975 |
|
978 |
///\brief The type of the map that stores the predecessor |
|
979 |
///arcs of the shortest paths. |
|
980 | 976 |
typedef typename TR::PredMap PredMap; |
981 |
///\brief The type of the map that stores the distances of the nodes. |
|
982 | 977 |
typedef typename TR::DistMap DistMap; |
983 |
///\brief The type of the map that indicates which nodes are reached. |
|
984 | 978 |
typedef typename TR::ReachedMap ReachedMap; |
985 |
///\brief The type of the map that indicates which nodes are processed. |
|
986 | 979 |
typedef typename TR::ProcessedMap ProcessedMap; |
987 |
///The type of the shortest paths |
|
988 | 980 |
typedef typename TR::Path Path; |
... | ... |
@@ -1069,7 +1061,8 @@ |
1069 | 1061 |
}; |
1070 |
///\brief \ref named-func-param "Named parameter" |
|
1071 |
///for setting PredMap object. |
|
1062 |
|
|
1063 |
///\brief \ref named-templ-param "Named parameter" for setting |
|
1064 |
///the predecessor map. |
|
1072 | 1065 |
/// |
1073 |
///\ref named-func-param "Named parameter" |
|
1074 |
///for setting PredMap object. |
|
1066 |
///\ref named-templ-param "Named parameter" function for setting |
|
1067 |
///the map that stores the predecessor arcs of the nodes. |
|
1075 | 1068 |
template<class T> |
... | ... |
@@ -1087,7 +1080,8 @@ |
1087 | 1080 |
}; |
1088 |
///\brief \ref named-func-param "Named parameter" |
|
1089 |
///for setting ReachedMap object. |
|
1081 |
|
|
1082 |
///\brief \ref named-templ-param "Named parameter" for setting |
|
1083 |
///the reached map. |
|
1090 | 1084 |
/// |
1091 |
/// \ref named-func-param "Named parameter" |
|
1092 |
///for setting ReachedMap object. |
|
1085 |
///\ref named-templ-param "Named parameter" function for setting |
|
1086 |
///the map that indicates which nodes are reached. |
|
1093 | 1087 |
template<class T> |
... | ... |
@@ -1105,7 +1099,9 @@ |
1105 | 1099 |
}; |
1106 |
///\brief \ref named-func-param "Named parameter" |
|
1107 |
///for setting DistMap object. |
|
1100 |
|
|
1101 |
///\brief \ref named-templ-param "Named parameter" for setting |
|
1102 |
///the distance map. |
|
1108 | 1103 |
/// |
1109 |
/// \ref named-func-param "Named parameter" |
|
1110 |
///for setting DistMap object. |
|
1104 |
///\ref named-templ-param "Named parameter" function for setting |
|
1105 |
///the map that stores the distances of the nodes calculated |
|
1106 |
///by the algorithm. |
|
1111 | 1107 |
template<class T> |
... | ... |
@@ -1123,7 +1119,8 @@ |
1123 | 1119 |
}; |
1124 |
///\brief \ref named-func-param "Named parameter" |
|
1125 |
///for setting ProcessedMap object. |
|
1120 |
|
|
1121 |
///\brief \ref named-func-param "Named parameter" for setting |
|
1122 |
///the processed map. |
|
1126 | 1123 |
/// |
1127 |
/// \ref named-func-param "Named parameter" |
|
1128 |
///for setting ProcessedMap object. |
|
1124 |
///\ref named-templ-param "Named parameter" function for setting |
|
1125 |
///the map that indicates which nodes are processed. |
|
1129 | 1126 |
template<class T> |
... | ... |
@@ -1266,3 +1263,3 @@ |
1266 | 1263 |
/// The type of the map that indicates which nodes are reached. |
1267 |
/// It must |
|
1264 |
/// It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
|
1268 | 1265 |
typedef typename Digraph::template NodeMap<bool> ReachedMap; |
... | ... |
@@ -1427,4 +1424,4 @@ |
1427 | 1424 |
/// member functions called \ref run(Node) "run()".\n |
1428 |
/// If you need more control on the execution, first you have to call |
|
1429 |
/// \ref init(), then you can add several source nodes with |
|
1425 |
/// If you need better control on the execution, you have to call |
|
1426 |
/// \ref init() first, then you can add several source nodes with |
|
1430 | 1427 |
/// \ref addSource(). Finally the actual path computation can be |
... | ... |
@@ -1737,3 +1734,3 @@ |
1737 | 1734 |
|
1738 |
/// \brief Checks if |
|
1735 |
/// \brief Checks if the given node is reached from the root(s). |
|
1739 | 1736 |
/// |
... | ... |
@@ -21,5 +21,5 @@ |
21 | 21 |
|
22 |
///\ingroup |
|
22 |
///\ingroup heaps |
|
23 | 23 |
///\file |
24 |
///\brief Binary |
|
24 |
///\brief Binary heap implementation. |
|
25 | 25 |
|
... | ... |
@@ -31,41 +31,37 @@ |
31 | 31 |
|
32 |
///\ingroup |
|
32 |
/// \ingroup heaps |
|
33 | 33 |
/// |
34 |
///\brief |
|
34 |
/// \brief Binary heap data structure. |
|
35 | 35 |
/// |
36 | 36 |
///This class implements the \e binary \e heap data structure. |
37 |
/// It fully conforms to the \ref concepts::Heap "heap concept". |
|
37 | 38 |
/// |
38 |
///A \e heap is a data structure for storing items with specified values |
|
39 |
///called \e priorities in such a way that finding the item with minimum |
|
40 |
///priority is efficient. \c CMP specifies the ordering of the priorities. |
|
41 |
///In a heap one can change the priority of an item, add or erase an |
|
42 |
///item, etc. |
|
43 |
/// |
|
44 |
///\tparam PR Type of the priority of the items. |
|
45 |
///\tparam IM A read and writable item map with int values, used internally |
|
46 |
///to handle the cross references. |
|
47 |
///\tparam CMP A functor class for the ordering of the priorities. |
|
39 |
/// \tparam PR Type of the priorities of the items. |
|
40 |
/// \tparam IM A read-writable item map with \c int values, used |
|
41 |
/// internally to handle the cross references. |
|
42 |
/// \tparam CMP A functor class for comparing the priorities. |
|
48 | 43 |
///The default is \c std::less<PR>. |
49 |
/// |
|
50 |
///\sa FibHeap |
|
51 |
|
|
44 |
#ifdef DOXYGEN |
|
45 |
template <typename PR, typename IM, typename CMP> |
|
46 |
#else |
|
52 | 47 |
template <typename PR, typename IM, typename CMP = std::less<PR> > |
48 |
#endif |
|
53 | 49 |
class BinHeap { |
50 |
public: |
|
54 | 51 |
|
55 |
public: |
|
56 |
///\e |
|
52 |
/// Type of the item-int map. |
|
57 | 53 |
typedef IM ItemIntMap; |
58 |
/// |
|
54 |
/// Type of the priorities. |
|
59 | 55 |
typedef PR Prio; |
60 |
/// |
|
56 |
/// Type of the items stored in the heap. |
|
61 | 57 |
typedef typename ItemIntMap::Key Item; |
62 |
/// |
|
58 |
/// Type of the item-priority pairs. |
|
63 | 59 |
typedef std::pair<Item,Prio> Pair; |
64 |
/// |
|
60 |
/// Functor type for comparing the priorities. |
|
65 | 61 |
typedef CMP Compare; |
66 | 62 |
|
67 |
/// \brief Type to represent the |
|
63 |
/// \brief Type to represent the states of the items. |
|
68 | 64 |
/// |
69 |
/// Each Item element have a state associated to it. It may be "in heap", |
|
70 |
/// "pre heap" or "post heap". The latter two are indifferent from the |
|
65 |
/// Each item has a state associated to it. It can be "in heap", |
|
66 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
|
71 | 67 |
/// heap's point of view, but may be useful to the user. |
... | ... |
@@ -86,18 +82,18 @@ |
86 | 82 |
public: |
87 |
|
|
83 |
|
|
84 |
/// \brief Constructor. |
|
88 | 85 |
/// |
89 |
/// The constructor. |
|
90 |
/// \param map should be given to the constructor, since it is used |
|
91 |
/// internally to handle the cross references. The value of the map |
|
92 |
/// must be \c PRE_HEAP (<tt>-1</tt>) for every item. |
|
86 |
/// Constructor. |
|
87 |
/// \param map A map that assigns \c int values to the items. |
|
88 |
/// It is used internally to handle the cross references. |
|
89 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
93 | 90 |
explicit BinHeap(ItemIntMap &map) : _iim(map) {} |
94 | 91 |
|
95 |
/// \brief |
|
92 |
/// \brief Constructor. |
|
96 | 93 |
/// |
97 |
/// The constructor. |
|
98 |
/// \param map should be given to the constructor, since it is used |
|
99 |
/// internally to handle the cross references. The value of the map |
|
100 |
/// should be PRE_HEAP (-1) for each element. |
|
101 |
/// |
|
102 |
/// \param comp The comparator function object. |
|
94 |
/// Constructor. |
|
95 |
/// \param map A map that assigns \c int values to the items. |
|
96 |
/// It is used internally to handle the cross references. |
|
97 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
98 |
/// \param comp The function object used for comparing the priorities. |
|
103 | 99 |
BinHeap(ItemIntMap &map, const Compare &comp) |
... | ... |
@@ -106,18 +102,19 @@ |
106 | 102 |
|
107 |
/// The number of items stored in the heap. |
|
103 |
/// \brief The number of items stored in the heap. |
|
108 | 104 |
/// |
109 |
/// |
|
105 |
/// This function returns the number of items stored in the heap. |
|
110 | 106 |
int size() const { return _data.size(); } |
111 | 107 |
|
112 |
/// \brief |
|
108 |
/// \brief Check if the heap is empty. |
|
113 | 109 |
/// |
114 |
/// |
|
110 |
/// This function returns \c true if the heap is empty. |
|
115 | 111 |
bool empty() const { return _data.empty(); } |
116 | 112 |
|
117 |
/// \brief Make |
|
113 |
/// \brief Make the heap empty. |
|
118 | 114 |
/// |
119 |
/// Make empty this heap. It does not change the cross reference map. |
|
120 |
/// If you want to reuse what is not surely empty you should first clear |
|
121 |
/// the heap and after that you should set the cross reference map for |
|
122 |
/// each item to \c PRE_HEAP. |
|
115 |
/// This functon makes the heap empty. |
|
116 |
/// It does not change the cross reference map. If you want to reuse |
|
117 |
/// a heap that is not surely empty, you should first clear it and |
|
118 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
119 |
/// for each item. |
|
123 | 120 |
void clear() { |
... | ... |
@@ -129,3 +126,3 @@ |
129 | 126 |
|
130 |
static int |
|
127 |
static int secondChild(int i) { return 2*i+2; } |
|
131 | 128 |
bool less(const Pair &p1, const Pair &p2) const { |
... | ... |
@@ -134,3 +131,3 @@ |
134 | 131 |
|
135 |
int |
|
132 |
int bubbleUp(int hole, Pair p) { |
|
136 | 133 |
int par = parent(hole); |
... | ... |
@@ -145,4 +142,4 @@ |
145 | 142 |
|
146 |
int bubble_down(int hole, Pair p, int length) { |
|
147 |
int child = second_child(hole); |
|
143 |
int bubbleDown(int hole, Pair p, int length) { |
|
144 |
int child = secondChild(hole); |
|
148 | 145 |
while(child < length) { |
... | ... |
@@ -155,3 +152,3 @@ |
155 | 152 |
hole = child; |
156 |
child = |
|
153 |
child = secondChild(hole); |
|
157 | 154 |
} |
... | ... |
@@ -173,6 +170,9 @@ |
173 | 170 |
public: |
171 |
|
|
174 | 172 |
/// \brief Insert a pair of item and priority into the heap. |
175 | 173 |
/// |
176 |
/// |
|
174 |
/// This function inserts \c p.first to the heap with priority |
|
175 |
/// \c p.second. |
|
177 | 176 |
/// \param p The pair to insert. |
177 |
/// \pre \c p.first must not be stored in the heap. |
|
178 | 178 |
void push(const Pair &p) { |
... | ... |
@@ -180,17 +180,18 @@ |
180 | 180 |
_data.resize(n+1); |
181 |
|
|
181 |
bubbleUp(n, p); |
|
182 | 182 |
} |
183 | 183 |
|
184 |
/// \brief Insert an item into the heap with the given |
|
184 |
/// \brief Insert an item into the heap with the given priority. |
|
185 | 185 |
/// |
186 |
/// |
|
186 |
/// This function inserts the given item into the heap with the |
|
187 |
/// given priority. |
|
187 | 188 |
/// \param i The item to insert. |
188 | 189 |
/// \param p The priority of the item. |
190 |
/// \pre \e i must not be stored in the heap. |
|
189 | 191 |
void push(const Item &i, const Prio &p) { push(Pair(i,p)); } |
190 | 192 |
|
191 |
/// \brief |
|
193 |
/// \brief Return the item having minimum priority. |
|
192 | 194 |
/// |
193 |
/// This method returns the item with minimum priority relative to \c |
|
194 |
/// Compare. |
|
195 |
/// |
|
195 |
/// This function returns the item having minimum priority. |
|
196 |
/// \pre The heap must be non-empty. |
|
196 | 197 |
Item top() const { |
... | ... |
@@ -199,6 +200,6 @@ |
199 | 200 |
|
200 |
/// \brief |
|
201 |
/// \brief The minimum priority. |
|
201 | 202 |
/// |
202 |
/// It returns the minimum priority relative to \c Compare. |
|
203 |
/// \pre The heap must be nonempty. |
|
203 |
/// This function returns the minimum priority. |
|
204 |
/// \pre The heap must be non-empty. |
|
204 | 205 |
Prio prio() const { |
... | ... |
@@ -207,6 +208,5 @@ |
207 | 208 |
|
208 |
/// \brief |
|
209 |
/// \brief Remove the item having minimum priority. |
|
209 | 210 |
/// |
210 |
/// This method deletes the item with minimum priority relative to \c |
|
211 |
/// Compare from the heap. |
|
211 |
/// This function removes the item having minimum priority. |
|
212 | 212 |
/// \pre The heap must be non-empty. |
... | ... |
@@ -216,3 +216,3 @@ |
216 | 216 |
if (n > 0) { |
217 |
|
|
217 |
bubbleDown(0, _data[n], n); |
|
218 | 218 |
} |
... | ... |
@@ -221,7 +221,8 @@ |
221 | 221 |
|
222 |
/// \brief |
|
222 |
/// \brief Remove the given item from the heap. |
|
223 | 223 |
/// |
224 |
/// This method deletes item \c i from the heap. |
|
225 |
/// \param i The item to erase. |
|
226 |
/// |
|
224 |
/// This function removes the given item from the heap if it is |
|
225 |
/// already stored. |
|
226 |
/// \param i The item to delete. |
|
227 |
/// \pre \e i must be in the heap. |
|
227 | 228 |
void erase(const Item &i) { |
... | ... |
@@ -231,4 +232,4 @@ |
231 | 232 |
if( h < n ) { |
232 |
if ( bubble_up(h, _data[n]) == h) { |
|
233 |
bubble_down(h, _data[n], n); |
|
233 |
if ( bubbleUp(h, _data[n]) == h) { |
|
234 |
bubbleDown(h, _data[n], n); |
|
234 | 235 |
} |
... | ... |
@@ -238,8 +239,7 @@ |
238 | 239 |
|
239 |
|
|
240 |
/// \brief Returns the priority of \c i. |
|
240 |
/// \brief The priority of the given item. |
|
241 | 241 |
/// |
242 |
/// This function returns the priority of |
|
242 |
/// This function returns the priority of the given item. |
|
243 | 243 |
/// \param i The item. |
244 |
/// \pre \ |
|
244 |
/// \pre \e i must be in the heap. |
|
245 | 245 |
Prio operator[](const Item &i) const { |
... | ... |
@@ -249,7 +249,8 @@ |
249 | 249 |
|
250 |
/// \brief \c i gets to the heap with priority \c p independently |
|
251 |
/// if \c i was already there. |
|
250 |
/// \brief Set the priority of an item or insert it, if it is |
|
251 |
/// not stored in the heap. |
|
252 | 252 |
/// |
253 |
/// This method calls \ref push(\c i, \c p) if \c i is not stored |
|
254 |
/// in the heap and sets the priority of \c i to \c p otherwise. |
|
253 |
/// This method sets the priority of the given item if it is |
|
254 |
/// already stored in the heap. Otherwise it inserts the given |
|
255 |
/// item into the heap with the given priority. |
|
255 | 256 |
/// \param i The item. |
... | ... |
@@ -262,6 +263,6 @@ |
262 | 263 |
else if( _comp(p, _data[idx].second) ) { |
263 |
|
|
264 |
bubbleUp(idx, Pair(i,p)); |
|
264 | 265 |
} |
265 | 266 |
else { |
266 |
|
|
267 |
bubbleDown(idx, Pair(i,p), _data.size()); |
|
267 | 268 |
} |
... | ... |
@@ -269,33 +270,31 @@ |
269 | 270 |
|
270 |
/// \brief |
|
271 |
/// \brief Decrease the priority of an item to the given value. |
|
271 | 272 |
/// |
272 |
/// This |
|
273 |
/// This function decreases the priority of an item to the given value. |
|
273 | 274 |
/// \param i The item. |
274 | 275 |
/// \param p The priority. |
275 |
/// \pre \c i must be stored in the heap with priority at least \c |
|
276 |
/// p relative to \c Compare. |
|
276 |
/// \pre \e i must be stored in the heap with priority at least \e p. |
|
277 | 277 |
void decrease(const Item &i, const Prio &p) { |
278 | 278 |
int idx = _iim[i]; |
279 |
|
|
279 |
bubbleUp(idx, Pair(i,p)); |
|
280 | 280 |
} |
281 | 281 |
|
282 |
/// \brief |
|
282 |
/// \brief Increase the priority of an item to the given value. |
|
283 | 283 |
/// |
284 |
/// This |
|
284 |
/// This function increases the priority of an item to the given value. |
|
285 | 285 |
/// \param i The item. |
286 | 286 |
/// \param p The priority. |
287 |
/// \pre \c i must be stored in the heap with priority at most \c |
|
288 |
/// p relative to \c Compare. |
|
287 |
/// \pre \e i must be stored in the heap with priority at most \e p. |
|
289 | 288 |
void increase(const Item &i, const Prio &p) { |
290 | 289 |
int idx = _iim[i]; |
291 |
|
|
290 |
bubbleDown(idx, Pair(i,p), _data.size()); |
|
292 | 291 |
} |
293 | 292 |
|
294 |
/// \brief Returns if \c item is in, has already been in, or has |
|
295 |
/// never been in the heap. |
|
293 |
/// \brief Return the state of an item. |
|
296 | 294 |
/// |
297 |
/// This method returns PRE_HEAP if \c item has never been in the |
|
298 |
/// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP |
|
299 |
/// otherwise. In the latter case it is possible that \c item will |
|
300 |
/// get back to the heap again. |
|
295 |
/// This method returns \c PRE_HEAP if the given item has never |
|
296 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
|
297 |
/// and \c POST_HEAP otherwise. |
|
298 |
/// In the latter case it is possible that the item will get back |
|
299 |
/// to the heap again. |
|
301 | 300 |
/// \param i The item. |
... | ... |
@@ -308,7 +307,7 @@ |
308 | 307 |
|
309 |
/// \brief |
|
308 |
/// \brief Set the state of an item in the heap. |
|
310 | 309 |
/// |
311 |
/// Sets the state of the \c item in the heap. It can be used to |
|
312 |
/// manually clear the heap when it is important to achive the |
|
313 |
/// |
|
310 |
/// This function sets the state of the given item in the heap. |
|
311 |
/// It can be used to manually clear the heap when it is important |
|
312 |
/// to achive better time complexity. |
|
314 | 313 |
/// \param i The item. |
... | ... |
@@ -329,8 +328,9 @@ |
329 | 328 |
|
330 |
/// \brief |
|
329 |
/// \brief Replace an item in the heap. |
|
331 | 330 |
/// |
332 |
/// The \c i item is replaced with \c j item. The \c i item should |
|
333 |
/// be in the heap, while the \c j should be out of the heap. The |
|
334 |
/// \c i item will out of the heap and \c j will be in the heap |
|
335 |
/// with the same prioriority as prevoiusly the \c i item. |
|
331 |
/// This function replaces item \c i with item \c j. |
|
332 |
/// Item \c i must be in the heap, while \c j must be out of the heap. |
|
333 |
/// After calling this method, item \c i will be out of the |
|
334 |
/// heap and \c j will be in the heap with the same prioriority |
|
335 |
/// as item \c i had before. |
|
336 | 336 |
void replace(const Item& i, const Item& j) { |
... | ... |
@@ -606,3 +606,3 @@ |
606 | 606 |
public: |
607 |
NodeMap(const Graph& graph) |
|
607 |
explicit NodeMap(const Graph& graph) |
|
608 | 608 |
: Parent(graph) {} |
... | ... |
@@ -630,3 +630,3 @@ |
630 | 630 |
public: |
631 |
ArcMap(const Graph& graph) |
|
631 |
explicit ArcMap(const Graph& graph) |
|
632 | 632 |
: Parent(graph) {} |
... | ... |
@@ -654,3 +654,3 @@ |
654 | 654 |
public: |
655 |
EdgeMap(const Graph& graph) |
|
655 |
explicit EdgeMap(const Graph& graph) |
|
656 | 656 |
: Parent(graph) {} |
... | ... |
@@ -21,5 +21,5 @@ |
21 | 21 |
|
22 |
///\ingroup |
|
22 |
///\ingroup heaps |
|
23 | 23 |
///\file |
24 |
///\brief Bucket |
|
24 |
///\brief Bucket heap implementation. |
|
25 | 25 |
|
... | ... |
@@ -55,19 +55,24 @@ |
55 | 55 |
|
56 |
/// \ingroup |
|
56 |
/// \ingroup heaps |
|
57 | 57 |
/// |
58 |
/// \brief |
|
58 |
/// \brief Bucket heap data structure. |
|
59 | 59 |
/// |
60 |
/// This class implements the \e bucket \e heap data structure. A \e heap |
|
61 |
/// is a data structure for storing items with specified values called \e |
|
62 |
/// priorities in such a way that finding the item with minimum priority is |
|
63 |
/// efficient. The bucket heap is very simple implementation, it can store |
|
64 |
/// only integer priorities and it stores for each priority in the |
|
65 |
/// \f$ [0..C) \f$ range a list of items. So it should be used only when |
|
66 |
/// the |
|
60 |
/// This class implements the \e bucket \e heap data structure. |
|
61 |
/// It practically conforms to the \ref concepts::Heap "heap concept", |
|
62 |
/// but it has some limitations. |
|
67 | 63 |
/// |
68 |
/// \param IM A read and write Item int map, used internally |
|
69 |
/// to handle the cross references. |
|
70 |
/// \param MIN If the given parameter is false then instead of the |
|
71 |
/// minimum value the maximum can be retrivied with the top() and |
|
72 |
/// |
|
64 |
/// The bucket heap is a very simple structure. It can store only |
|
65 |
/// \c int priorities and it maintains a list of items for each priority |
|
66 |
/// in the range <tt>[0..C)</tt>. So it should only be used when the |
|
67 |
/// priorities are small. It is not intended to use as a Dijkstra heap. |
|
68 |
/// |
|
69 |
/// \tparam IM A read-writable item map with \c int values, used |
|
70 |
/// internally to handle the cross references. |
|
71 |
/// \tparam MIN Indicate if the heap is a \e min-heap or a \e max-heap. |
|
72 |
/// The default is \e min-heap. If this parameter is set to \c false, |
|
73 |
/// then the comparison is reversed, so the top(), prio() and pop() |
|
74 |
/// functions deal with the item having maximum priority instead of the |
|
75 |
/// minimum. |
|
76 |
/// |
|
77 |
/// \sa SimpleBucketHeap |
|
73 | 78 |
template <typename IM, bool MIN = true> |
... | ... |
@@ -76,10 +81,11 @@ |
76 | 81 |
public: |
77 |
/// \e |
|
78 |
typedef typename IM::Key Item; |
|
79 |
|
|
82 |
|
|
83 |
/// Type of the item-int map. |
|
84 |
typedef IM ItemIntMap; |
|
85 |
/// Type of the priorities. |
|
80 | 86 |
typedef int Prio; |
81 |
/// |
|
87 |
/// Type of the items stored in the heap. |
|
88 |
typedef typename ItemIntMap::Key Item; |
|
89 |
/// Type of the item-priority pairs. |
|
82 | 90 |
typedef std::pair<Item, Prio> Pair; |
83 |
/// \e |
|
84 |
typedef IM ItemIntMap; |
|
85 | 91 |
|
... | ... |
@@ -91,6 +97,6 @@ |
91 | 97 |
|
92 |
/// \brief Type to represent the |
|
98 |
/// \brief Type to represent the states of the items. |
|
93 | 99 |
/// |
94 |
/// Each Item element have a state associated to it. It may be "in heap", |
|
95 |
/// "pre heap" or "post heap". The latter two are indifferent from the |
|
100 |
/// Each item has a state associated to it. It can be "in heap", |
|
101 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
|
96 | 102 |
/// heap's point of view, but may be useful to the user. |
... | ... |
@@ -106,26 +112,28 @@ |
106 | 112 |
public: |
107 |
|
|
113 |
|
|
114 |
/// \brief Constructor. |
|
108 | 115 |
/// |
109 |
/// The constructor. |
|
110 |
/// \param map should be given to the constructor, since it is used |
|
111 |
/// internally to handle the cross references. The value of the map |
|
112 |
/// should be PRE_HEAP (-1) for each element. |
|
116 |
/// Constructor. |
|
117 |
/// \param map A map that assigns \c int values to the items. |
|
118 |
/// It is used internally to handle the cross references. |
|
119 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
113 | 120 |
explicit BucketHeap(ItemIntMap &map) : _iim(map), _minimum(0) {} |
114 | 121 |
|
115 |
/// The number of items stored in the heap. |
|
122 |
/// \brief The number of items stored in the heap. |
|
116 | 123 |
/// |
117 |
/// |
|
124 |
/// This function returns the number of items stored in the heap. |
|
118 | 125 |
int size() const { return _data.size(); } |
119 | 126 |
|
120 |
/// \brief |
|
127 |
/// \brief Check if the heap is empty. |
|
121 | 128 |
/// |
122 |
/// |
|
129 |
/// This function returns \c true if the heap is empty. |
|
123 | 130 |
bool empty() const { return _data.empty(); } |
124 | 131 |
|
125 |
/// \brief Make |
|
132 |
/// \brief Make the heap empty. |
|
126 | 133 |
/// |
127 |
/// Make empty this heap. It does not change the cross reference |
|
128 |
/// map. If you want to reuse a heap what is not surely empty you |
|
129 |
/// should first clear the heap and after that you should set the |
|
130 |
/// cross reference map for each item to \c PRE_HEAP. |
|
134 |
/// This functon makes the heap empty. |
|
135 |
/// It does not change the cross reference map. If you want to reuse |
|
136 |
/// a heap that is not surely empty, you should first clear it and |
|
137 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
138 |
/// for each item. |
|
131 | 139 |
void clear() { |
... | ... |
@@ -136,3 +144,3 @@ |
136 | 144 |
|
137 |
void |
|
145 |
void relocateLast(int idx) { |
|
138 | 146 |
if (idx + 1 < int(_data.size())) { |
... | ... |
@@ -176,6 +184,9 @@ |
176 | 184 |
public: |
185 |
|
|
177 | 186 |
/// \brief Insert a pair of item and priority into the heap. |
178 | 187 |
/// |
179 |
/// |
|
188 |
/// This function inserts \c p.first to the heap with priority |
|
189 |
/// \c p.second. |
|
180 | 190 |
/// \param p The pair to insert. |
191 |
/// \pre \c p.first must not be stored in the heap. |
|
181 | 192 |
void push(const Pair& p) { |
... | ... |
@@ -186,5 +197,7 @@ |
186 | 197 |
/// |
187 |
/// |
|
198 |
/// This function inserts the given item into the heap with the |
|
199 |
/// given priority. |
|
188 | 200 |
/// \param i The item to insert. |
189 | 201 |
/// \param p The priority of the item. |
202 |
/// \pre \e i must not be stored in the heap. |
|
190 | 203 |
void push(const Item &i, const Prio &p) { |
... | ... |
@@ -199,6 +212,6 @@ |
199 | 212 |
|
200 |
/// \brief |
|
213 |
/// \brief Return the item having minimum priority. |
|
201 | 214 |
/// |
202 |
/// This method returns the item with minimum priority. |
|
203 |
/// \pre The heap must be nonempty. |
|
215 |
/// This function returns the item having minimum priority. |
|
216 |
/// \pre The heap must be non-empty. |
|
204 | 217 |
Item top() const { |
... | ... |
@@ -210,6 +223,6 @@ |
210 | 223 |
|
211 |
/// \brief |
|
224 |
/// \brief The minimum priority. |
|
212 | 225 |
/// |
213 |
/// It returns the minimum priority. |
|
214 |
/// \pre The heap must be nonempty. |
|
226 |
/// This function returns the minimum priority. |
|
227 |
/// \pre The heap must be non-empty. |
|
215 | 228 |
Prio prio() const { |
... | ... |
@@ -221,5 +234,5 @@ |
221 | 234 |
|
222 |
/// \brief |
|
235 |
/// \brief Remove the item having minimum priority. |
|
223 | 236 |
/// |
224 |
/// This |
|
237 |
/// This function removes the item having minimum priority. |
|
225 | 238 |
/// \pre The heap must be non-empty. |
... | ... |
@@ -232,10 +245,11 @@ |
232 | 245 |
unlace(idx); |
233 |
|
|
246 |
relocateLast(idx); |
|
234 | 247 |
} |
235 | 248 |
|
236 |
/// \brief |
|
249 |
/// \brief Remove the given item from the heap. |
|
237 | 250 |
/// |
238 |
/// This method deletes item \c i from the heap, if \c i was |
|
239 |
/// already stored in the heap. |
|
240 |
/// |
|
251 |
/// This function removes the given item from the heap if it is |
|
252 |
/// already stored. |
|
253 |
/// \param i The item to delete. |
|
254 |
/// \pre \e i must be in the heap. |
|
241 | 255 |
void erase(const Item &i) { |
... | ... |
@@ -244,11 +258,10 @@ |
244 | 258 |
unlace(idx); |
245 |
|
|
259 |
relocateLast(idx); |
|
246 | 260 |
} |
247 | 261 |
|
248 |
|
|
249 |
/// \brief Returns the priority of \c i. |
|
262 |
/// \brief The priority of the given item. |
|
250 | 263 |
/// |
251 |
/// This function returns the priority of item \c i. |
|
252 |
/// \pre \c i must be in the heap. |
|
264 |
/// This function returns the priority of the given item. |
|
253 | 265 |
/// \param i The item. |
266 |
/// \pre \e i must be in the heap. |
|
254 | 267 |
Prio operator[](const Item &i) const { |
... | ... |
@@ -258,7 +271,8 @@ |
258 | 271 |
|
259 |
/// \brief \c i gets to the heap with priority \c p independently |
|
260 |
/// if \c i was already there. |
|
272 |
/// \brief Set the priority of an item or insert it, if it is |
|
273 |
/// not stored in the heap. |
|
261 | 274 |
/// |
262 |
/// This method calls \ref push(\c i, \c p) if \c i is not stored |
|
263 |
/// in the heap and sets the priority of \c i to \c p otherwise. |
|
275 |
/// This method sets the priority of the given item if it is |
|
276 |
/// already stored in the heap. Otherwise it inserts the given |
|
277 |
/// item into the heap with the given priority. |
|
264 | 278 |
/// \param i The item. |
... | ... |
@@ -276,9 +290,8 @@ |
276 | 290 |
|
277 |
/// \brief |
|
291 |
/// \brief Decrease the priority of an item to the given value. |
|
278 | 292 |
/// |
279 |
/// This method decreases the priority of item \c i to \c p. |
|
280 |
/// \pre \c i must be stored in the heap with priority at least \c |
|
281 |
/// |
|
293 |
/// This function decreases the priority of an item to the given value. |
|
282 | 294 |
/// \param i The item. |
283 | 295 |
/// \param p The priority. |
296 |
/// \pre \e i must be stored in the heap with priority at least \e p. |
|
284 | 297 |
void decrease(const Item &i, const Prio &p) { |
... | ... |
@@ -293,9 +306,8 @@ |
293 | 306 |
|
294 |
/// \brief |
|
307 |
/// \brief Increase the priority of an item to the given value. |
|
295 | 308 |
/// |
296 |
/// This method sets the priority of item \c i to \c p. |
|
297 |
/// \pre \c i must be stored in the heap with priority at most \c |
|
298 |
/// |
|
309 |
/// This function increases the priority of an item to the given value. |
|
299 | 310 |
/// \param i The item. |
300 | 311 |
/// \param p The priority. |
312 |
/// \pre \e i must be stored in the heap with priority at most \e p. |
|
301 | 313 |
void increase(const Item &i, const Prio &p) { |
... | ... |
@@ -307,9 +319,9 @@ |
307 | 319 |
|
308 |
/// \brief Returns if \c item is in, has already been in, or has |
|
309 |
/// never been in the heap. |
|
320 |
/// \brief Return the state of an item. |
|
310 | 321 |
/// |
311 |
/// This method returns PRE_HEAP if \c item has never been in the |
|
312 |
/// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP |
|
313 |
/// otherwise. In the latter case it is possible that \c item will |
|
314 |
/// get back to the heap again. |
|
322 |
/// This method returns \c PRE_HEAP if the given item has never |
|
323 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
|
324 |
/// and \c POST_HEAP otherwise. |
|
325 |
/// In the latter case it is possible that the item will get back |
|
326 |
/// to the heap again. |
|
315 | 327 |
/// \param i The item. |
... | ... |
@@ -321,7 +333,7 @@ |
321 | 333 |
|
322 |
/// \brief |
|
334 |
/// \brief Set the state of an item in the heap. |
|
323 | 335 |
/// |
324 |
/// Sets the state of the \c item in the heap. It can be used to |
|
325 |
/// manually clear the heap when it is important to achive the |
|
326 |
/// |
|
336 |
/// This function sets the state of the given item in the heap. |
|
337 |
/// It can be used to manually clear the heap when it is important |
|
338 |
/// to achive better time complexity. |
|
327 | 339 |
/// \param i The item. |
... | ... |
@@ -361,19 +373,25 @@ |
361 | 373 |
|
362 |
/// \ingroup |
|
374 |
/// \ingroup heaps |
|
363 | 375 |
/// |
364 |
/// \brief |
|
376 |
/// \brief Simplified bucket heap data structure. |
|
365 | 377 |
/// |
366 | 378 |
/// This class implements a simplified \e bucket \e heap data |
367 |
/// structure. It does not provide some functionality but it faster |
|
368 |
/// and simplier data structure than the BucketHeap. The main |
|
369 |
/// difference is that the BucketHeap stores for every key a double |
|
370 |
/// linked list while this class stores just simple lists. In the |
|
371 |
/// other way it does not support erasing each elements just the |
|
372 |
/// minimal and it does not supports key increasing, decreasing. |
|
379 |
/// structure. It does not provide some functionality, but it is |
|
380 |
/// faster and simpler than BucketHeap. The main difference is |
|
381 |
/// that BucketHeap stores a doubly-linked list for each key while |
|
382 |
/// this class stores only simply-linked lists. It supports erasing |
|
383 |
/// only for the item having minimum priority and it does not support |
|
384 |
/// key increasing and decreasing. |
|
373 | 385 |
/// |
374 |
/// \param IM A read and write Item int map, used internally |
|
375 |
/// to handle the cross references. |
|
376 |
/// \param MIN If the given parameter is false then instead of the |
|
377 |
/// minimum value the maximum can be retrivied with the top() and |
|
378 |
/// |
|
386 |
/// Note that this implementation does not conform to the |
|
387 |
/// \ref concepts::Heap "heap concept" due to the lack of some |
|
388 |
/// functionality. |
|
389 |
/// |
|
390 |
/// \tparam IM A read-writable item map with \c int values, used |
|
391 |
/// internally to handle the cross references. |
|
392 |
/// \tparam MIN Indicate if the heap is a \e min-heap or a \e max-heap. |
|
393 |
/// The default is \e min-heap. If this parameter is set to \c false, |
|
394 |
/// then the comparison is reversed, so the top(), prio() and pop() |
|
395 |
/// functions deal with the item having maximum priority instead of the |
|
396 |
/// minimum. |
|
379 | 397 |
/// |
... | ... |
@@ -384,6 +402,11 @@ |
384 | 402 |
public: |
385 |
|
|
403 |
|
|
404 |
/// Type of the item-int map. |
|
405 |
typedef IM ItemIntMap; |
|
406 |
/// Type of the priorities. |
|
386 | 407 |
typedef int Prio; |
408 |
/// Type of the items stored in the heap. |
|
409 |
typedef typename ItemIntMap::Key Item; |
|
410 |
/// Type of the item-priority pairs. |
|
387 | 411 |
typedef std::pair<Item, Prio> Pair; |
388 |
typedef IM ItemIntMap; |
|
389 | 412 |
|
... | ... |
@@ -395,6 +418,6 @@ |
395 | 418 |
|
396 |
/// \brief Type to represent the |
|
419 |
/// \brief Type to represent the states of the items. |
|
397 | 420 |
/// |
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 |
|
421 |
/// Each item has a state associated to it. It can be "in heap", |
|
422 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
|
400 | 423 |
/// heap's point of view, but may be useful to the user. |
... | ... |
@@ -411,8 +434,8 @@ |
411 | 434 |
|
412 |
/// \brief |
|
435 |
/// \brief Constructor. |
|
413 | 436 |
/// |
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. |
|
437 |
/// Constructor. |
|
438 |
/// \param map A map that assigns \c int values to the items. |
|
439 |
/// It is used internally to handle the cross references. |
|
440 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
418 | 441 |
explicit SimpleBucketHeap(ItemIntMap &map) |
... | ... |
@@ -420,18 +443,19 @@ |
420 | 443 |
|
421 |
/// \brief |
|
444 |
/// \brief The number of items stored in the heap. |
|
422 | 445 |
/// |
423 |
/// |
|
446 |
/// This function returns the number of items stored in the heap. |
|
424 | 447 |
int size() const { return _num; } |
425 | 448 |
|
426 |
/// \brief |
|
449 |
/// \brief Check if the heap is empty. |
|
427 | 450 |
/// |
428 |
/// |
|
451 |
/// This function returns \c true if the heap is empty. |
|
429 | 452 |
bool empty() const { return _num == 0; } |
430 | 453 |
|
431 |
/// \brief Make |
|
454 |
/// \brief Make the heap empty. |
|
432 | 455 |
/// |
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. |
|
456 |
/// This functon makes the heap empty. |
|
457 |
/// It does not change the cross reference map. If you want to reuse |
|
458 |
/// a heap that is not surely empty, you should first clear it and |
|
459 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
460 |
/// for each item. |
|
437 | 461 |
void clear() { |
... | ... |
@@ -442,4 +466,6 @@ |
442 | 466 |
/// |
443 |
/// |
|
467 |
/// This function inserts \c p.first to the heap with priority |
|
468 |
/// \c p.second. |
|
444 | 469 |
/// \param p The pair to insert. |
470 |
/// \pre \c p.first must not be stored in the heap. |
|
445 | 471 |
void push(const Pair& p) { |
... | ... |
@@ -450,5 +476,7 @@ |
450 | 476 |
/// |
451 |
/// |
|
477 |
/// This function inserts the given item into the heap with the |
|
478 |
/// given priority. |
|
452 | 479 |
/// \param i The item to insert. |
453 | 480 |
/// \param p The priority of the item. |
481 |
/// \pre \e i must not be stored in the heap. |
|
454 | 482 |
void push(const Item &i, const Prio &p) { |
... | ... |
@@ -473,6 +501,6 @@ |
473 | 501 |
|
474 |
/// \brief |
|
502 |
/// \brief Return the item having minimum priority. |
|
475 | 503 |
/// |
476 |
/// This method returns the item with minimum priority. |
|
477 |
/// \pre The heap must be nonempty. |
|
504 |
/// This function returns the item having minimum priority. |
|
505 |
/// \pre The heap must be non-empty. |
|
478 | 506 |
Item top() const { |
... | ... |
@@ -484,6 +512,6 @@ |
484 | 512 |
|
485 |
/// \brief |
|
513 |
/// \brief The minimum priority. |
|
486 | 514 |
/// |
487 |
/// It returns the minimum priority. |
|
488 |
/// \pre The heap must be nonempty. |
|
515 |
/// This function returns the minimum priority. |
|
516 |
/// \pre The heap must be non-empty. |
|
489 | 517 |
Prio prio() const { |
... | ... |
@@ -495,5 +523,5 @@ |
495 | 523 |
|
496 |
/// \brief |
|
524 |
/// \brief Remove the item having minimum priority. |
|
497 | 525 |
/// |
498 |
/// This |
|
526 |
/// This function removes the item having minimum priority. |
|
499 | 527 |
/// \pre The heap must be non-empty. |
... | ... |
@@ -511,12 +539,11 @@ |
511 | 539 |
|
512 |
/// \brief |
|
540 |
/// \brief The priority of the given item. |
|
513 | 541 |
/// |
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 |
/// |
|
542 |
/// This function returns the priority of the given item. |
|
519 | 543 |
/// \param i The item. |
544 |
/// \pre \e i must be in the heap. |
|
545 |
/// \warning This operator is not a constant time function because |
|
546 |
/// it scans the whole data structure to find the proper value. |
|
520 | 547 |
Prio operator[](const Item &i) const { |
521 |
for (int k = 0; k < _first.size(); ++k) { |
|
548 |
for (int k = 0; k < int(_first.size()); ++k) { |
|
522 | 549 |
int idx = _first[k]; |
... | ... |
@@ -532,9 +559,9 @@ |
532 | 559 |
|
533 |
/// \brief Returns if \c item is in, has already been in, or has |
|
534 |
/// never been in the heap. |
|
560 |
/// \brief Return the state of an item. |
|
535 | 561 |
/// |
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. |
|
562 |
/// This method returns \c PRE_HEAP if the given item has never |
|
563 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
|
564 |
/// and \c POST_HEAP otherwise. |
|
565 |
/// In the latter case it is possible that the item will get back |
|
566 |
/// to the heap again. |
|
540 | 567 |
/// \param i The item. |
... | ... |
@@ -74,3 +74,7 @@ |
74 | 74 |
/// concept. |
75 |
#ifdef DOXYGEN |
|
76 |
typedef GR::ArcMap<Value> FlowMap; |
|
77 |
#else |
|
75 | 78 |
typedef typename Digraph::template ArcMap<Value> FlowMap; |
79 |
#endif |
|
76 | 80 |
|
... | ... |
@@ -89,5 +93,8 @@ |
89 | 93 |
/// |
90 |
/// \sa Elevator |
|
91 |
/// \sa LinkedElevator |
|
94 |
/// \sa Elevator, LinkedElevator |
|
95 |
#ifdef DOXYGEN |
|
96 |
typedef lemon::Elevator<GR, GR::Node> Elevator; |
|
97 |
#else |
|
92 | 98 |
typedef lemon::Elevator<Digraph, typename Digraph::Node> Elevator; |
99 |
#endif |
|
93 | 100 |
|
... | ... |
@@ -452,6 +459,7 @@ |
452 | 459 |
|
453 |
/// \brief Sets the tolerance used by algorithm. |
|
460 |
/// \brief Sets the tolerance used by the algorithm. |
|
454 | 461 |
/// |
455 |
/// Sets the tolerance used by algorithm. |
|
456 |
Circulation& tolerance(const Tolerance& tolerance) const { |
|
462 |
/// Sets the tolerance object used by the algorithm. |
|
463 |
/// \return <tt>(*this)</tt> |
|
464 |
Circulation& tolerance(const Tolerance& tolerance) { |
|
457 | 465 |
_tol = tolerance; |
... | ... |
@@ -462,5 +470,6 @@ |
462 | 470 |
/// |
463 |
/// Returns a const reference to the tolerance |
|
471 |
/// Returns a const reference to the tolerance object used by |
|
472 |
/// the algorithm. |
|
464 | 473 |
const Tolerance& tolerance() const { |
465 |
return |
|
474 |
return _tol; |
|
466 | 475 |
} |
... | ... |
@@ -469,4 +478,4 @@ |
469 | 478 |
/// The simplest way to execute the algorithm is to call \ref run().\n |
470 |
/// If you need more control on the initial solution or the execution, |
|
471 |
/// first you have to call one of the \ref init() functions, then |
|
479 |
/// If you need better control on the initial solution or the execution, |
|
480 |
/// you have to call one of the \ref init() functions first, then |
|
472 | 481 |
/// the \ref start() function. |
... | ... |
@@ -18,2 +18,5 @@ |
18 | 18 |
|
19 |
#ifndef LEMON_CONCEPTS_HEAP_H |
|
20 |
#define LEMON_CONCEPTS_HEAP_H |
|
21 |
|
|
19 | 22 |
///\ingroup concept |
... | ... |
@@ -22,5 +25,2 @@ |
22 | 25 |
|
23 |
#ifndef LEMON_CONCEPTS_HEAP_H |
|
24 |
#define LEMON_CONCEPTS_HEAP_H |
|
25 |
|
|
26 | 26 |
#include <lemon/core.h> |
... | ... |
@@ -37,17 +37,23 @@ |
37 | 37 |
/// |
38 |
/// Concept class describing the main interface of heaps. A \e heap |
|
39 |
/// is a data structure for storing items with specified values called |
|
40 |
/// \e priorities in such a way that finding the item with minimum |
|
41 |
/// priority is efficient. In a heap one can change the priority of an |
|
42 |
/// |
|
38 |
/// This concept class describes the main interface of heaps. |
|
39 |
/// The various \ref heaps "heap structures" are efficient |
|
40 |
/// implementations of the abstract data type \e priority \e queue. |
|
41 |
/// They store items with specified values called \e priorities |
|
42 |
/// in such a way that finding and removing the item with minimum |
|
43 |
/// priority are efficient. The basic operations are adding and |
|
44 |
/// erasing items, changing the priority of an item, etc. |
|
43 | 45 |
/// |
44 |
/// \tparam PR Type of the priority of the items. |
|
45 |
/// \tparam IM A read and writable item map with int values, used |
|
46 |
/// Heaps are crucial in several algorithms, such as Dijkstra and Prim. |
|
47 |
/// Any class that conforms to this concept can be used easily in such |
|
48 |
/// algorithms. |
|
49 |
/// |
|
50 |
/// \tparam PR Type of the priorities of the items. |
|
51 |
/// \tparam IM A read-writable item map with \c int values, used |
|
46 | 52 |
/// internally to handle the cross references. |
47 |
/// \tparam |
|
53 |
/// \tparam CMP A functor class for comparing the priorities. |
|
48 | 54 |
/// The default is \c std::less<PR>. |
49 | 55 |
#ifdef DOXYGEN |
50 |
template <typename PR, typename IM, typename |
|
56 |
template <typename PR, typename IM, typename CMP> |
|
51 | 57 |
#else |
52 |
template <typename PR, typename IM> |
|
58 |
template <typename PR, typename IM, typename CMP = std::less<PR> > |
|
53 | 59 |
#endif |
... | ... |
@@ -66,5 +72,4 @@ |
66 | 72 |
/// Each item has a state associated to it. It can be "in heap", |
67 |
/// "pre heap" or "post heap". The later two are indifferent |
|
68 |
/// from the point of view of the heap, but may be useful for |
|
69 |
/// |
|
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. |
|
70 | 75 |
/// |
... | ... |
@@ -74,9 +79,9 @@ |
74 | 79 |
IN_HEAP = 0, ///< = 0. The "in heap" state constant. |
75 |
PRE_HEAP = -1, ///< = -1. The "pre heap" state constant. |
|
76 |
POST_HEAP = -2 ///< = -2. The "post heap" state constant. |
|
80 |
PRE_HEAP = -1, ///< = -1. The "pre-heap" state constant. |
|
81 |
POST_HEAP = -2 ///< = -2. The "post-heap" state constant. |
|
77 | 82 |
}; |
78 | 83 |
|
79 |
/// \brief |
|
84 |
/// \brief Constructor. |
|
80 | 85 |
/// |
81 |
/// |
|
86 |
/// Constructor. |
|
82 | 87 |
/// \param map A map that assigns \c int values to keys of type |
... | ... |
@@ -84,30 +89,46 @@ |
84 | 89 |
/// handle the cross references. The assigned value must be |
85 |
/// \c PRE_HEAP (<tt>-1</tt>) for |
|
90 |
/// \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
86 | 91 |
explicit Heap(ItemIntMap &map) {} |
87 | 92 |
|
93 |
/// \brief Constructor. |
|
94 |
/// |
|
95 |
/// Constructor. |
|
96 |
/// \param map A map that assigns \c int values to keys of type |
|
97 |
/// \c Item. It is used internally by the heap implementations to |
|
98 |
/// handle the cross references. The assigned value must be |
|
99 |
/// \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
100 |
/// \param comp The function object used for comparing the priorities. |
|
101 |
explicit Heap(ItemIntMap &map, const CMP &comp) {} |
|
102 |
|
|
88 | 103 |
/// \brief The number of items stored in the heap. |
89 | 104 |
/// |
90 |
/// |
|
105 |
/// This function returns the number of items stored in the heap. |
|
91 | 106 |
int size() const { return 0; } |
92 | 107 |
|
93 |
/// \brief |
|
108 |
/// \brief Check if the heap is empty. |
|
94 | 109 |
/// |
95 |
/// |
|
110 |
/// This function returns \c true if the heap is empty. |
|
96 | 111 |
bool empty() const { return false; } |
97 | 112 |
|
98 |
/// \brief |
|
113 |
/// \brief Make the heap empty. |
|
99 | 114 |
/// |
100 |
/// Makes the heap empty. |
|
101 |
void clear(); |
|
115 |
/// This functon makes the heap empty. |
|
116 |
/// It does not change the cross reference map. If you want to reuse |
|
117 |
/// a heap that is not surely empty, you should first clear it and |
|
118 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
119 |
/// for each item. |
|
120 |
void clear() {} |
|
102 | 121 |
|
103 |
/// \brief |
|
122 |
/// \brief Insert an item into the heap with the given priority. |
|
104 | 123 |
/// |
105 |
/// |
|
124 |
/// This function inserts the given item into the heap with the |
|
125 |
/// given priority. |
|
106 | 126 |
/// \param i The item to insert. |
107 | 127 |
/// \param p The priority of the item. |
128 |
/// \pre \e i must not be stored in the heap. |
|
108 | 129 |
void push(const Item &i, const Prio &p) {} |
109 | 130 |
|
110 |
/// \brief |
|
131 |
/// \brief Return the item having minimum priority. |
|
111 | 132 |
/// |
112 |
/// |
|
133 |
/// This function returns the item having minimum priority. |
|
113 | 134 |
/// \pre The heap must be non-empty. |
... | ... |
@@ -117,3 +138,3 @@ |
117 | 138 |
/// |
118 |
/// |
|
139 |
/// This function returns the minimum priority. |
|
119 | 140 |
/// \pre The heap must be non-empty. |
... | ... |
@@ -121,5 +142,5 @@ |
121 | 142 |
|
122 |
/// \brief |
|
143 |
/// \brief Remove the item having minimum priority. |
|
123 | 144 |
/// |
124 |
/// |
|
145 |
/// This function removes the item having minimum priority. |
|
125 | 146 |
/// \pre The heap must be non-empty. |
... | ... |
@@ -127,16 +148,18 @@ |
127 | 148 |
|
128 |
/// \brief |
|
149 |
/// \brief Remove the given item from the heap. |
|
129 | 150 |
/// |
130 |
/// |
|
151 |
/// This function removes the given item from the heap if it is |
|
152 |
/// already stored. |
|
131 | 153 |
/// \param i The item to delete. |
154 |
/// \pre \e i must be in the heap. |
|
132 | 155 |
void erase(const Item &i) {} |
133 | 156 |
|
134 |
/// \brief The priority of |
|
157 |
/// \brief The priority of the given item. |
|
135 | 158 |
/// |
136 |
/// |
|
159 |
/// This function returns the priority of the given item. |
|
137 | 160 |
/// \param i The item. |
138 |
/// \pre \ |
|
161 |
/// \pre \e i must be in the heap. |
|
139 | 162 |
Prio operator[](const Item &i) const {} |
140 | 163 |
|
141 |
/// \brief |
|
164 |
/// \brief Set the priority of an item or insert it, if it is |
|
142 | 165 |
/// not stored in the heap. |
... | ... |
@@ -144,4 +167,4 @@ |
144 | 167 |
/// This method sets the priority of the given item if it is |
145 |
/// already stored in the heap. |
|
146 |
/// Otherwise it inserts the given item with the given priority. |
|
168 |
/// already stored in the heap. Otherwise it inserts the given |
|
169 |
/// item into the heap with the given priority. |
|
147 | 170 |
/// |
... | ... |
@@ -151,20 +174,19 @@ |
151 | 174 |
|
152 |
/// \brief |
|
175 |
/// \brief Decrease the priority of an item to the given value. |
|
153 | 176 |
/// |
154 |
/// |
|
177 |
/// This function decreases the priority of an item to the given value. |
|
155 | 178 |
/// \param i The item. |
156 | 179 |
/// \param p The priority. |
157 |
/// \pre \ |
|
180 |
/// \pre \e i must be stored in the heap with priority at least \e p. |
|
158 | 181 |
void decrease(const Item &i, const Prio &p) {} |
159 | 182 |
|
160 |
/// \brief |
|
183 |
/// \brief Increase the priority of an item to the given value. |
|
161 | 184 |
/// |
162 |
/// |
|
185 |
/// This function increases the priority of an item to the given value. |
|
163 | 186 |
/// \param i The item. |
164 | 187 |
/// \param p The priority. |
165 |
/// \pre \ |
|
188 |
/// \pre \e i must be stored in the heap with priority at most \e p. |
|
166 | 189 |
void increase(const Item &i, const Prio &p) {} |
167 | 190 |
|
168 |
/// \brief Returns if an item is in, has already been in, or has |
|
169 |
/// never been in the heap. |
|
191 |
/// \brief Return the state of an item. |
|
170 | 192 |
/// |
... | ... |
@@ -178,7 +200,7 @@ |
178 | 200 |
|
179 |
/// \brief |
|
201 |
/// \brief Set the state of an item in the heap. |
|
180 | 202 |
/// |
181 |
/// Sets the state of the given item in the heap. It can be used |
|
182 |
/// to manually clear the heap when it is important to achive the |
|
183 |
/// |
|
203 |
/// This function sets the state of the given item in the heap. |
|
204 |
/// It can be used to manually clear the heap when it is important |
|
205 |
/// to achive better time complexity. |
|
184 | 206 |
/// \param i The item. |
... | ... |
@@ -49,3 +49,3 @@ |
49 | 49 |
///arcs of the %DFS paths. |
50 |
///It must |
|
50 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
51 | 51 |
typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap; |
... | ... |
@@ -64,3 +64,4 @@ |
64 | 64 |
///The type of the map that indicates which nodes are processed. |
65 |
///It must |
|
65 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
66 |
///By default it is a NullMap. |
|
66 | 67 |
typedef NullMap<typename Digraph::Node,bool> ProcessedMap; |
... | ... |
@@ -83,3 +84,3 @@ |
83 | 84 |
///The type of the map that indicates which nodes are reached. |
84 |
///It must |
|
85 |
///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
|
85 | 86 |
typedef typename Digraph::template NodeMap<bool> ReachedMap; |
... | ... |
@@ -98,3 +99,3 @@ |
98 | 99 |
///The type of the map that stores the distances of the nodes. |
99 |
///It must |
|
100 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
100 | 101 |
typedef typename Digraph::template NodeMap<int> DistMap; |
... | ... |
@@ -226,3 +227,3 @@ |
226 | 227 |
///\c PredMap type. |
227 |
///It must |
|
228 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
228 | 229 |
template <class T> |
... | ... |
@@ -246,3 +247,3 @@ |
246 | 247 |
///\c DistMap type. |
247 |
///It must |
|
248 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
248 | 249 |
template <class T> |
... | ... |
@@ -266,3 +267,3 @@ |
266 | 267 |
///\c ReachedMap type. |
267 |
///It must |
|
268 |
///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
|
268 | 269 |
template <class T> |
... | ... |
@@ -286,3 +287,3 @@ |
286 | 287 |
///\c ProcessedMap type. |
287 |
///It must |
|
288 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
288 | 289 |
template <class T> |
... | ... |
@@ -413,4 +414,4 @@ |
413 | 414 |
///member functions called \ref run(Node) "run()".\n |
414 |
///If you need more control on the execution, first you have to call |
|
415 |
///\ref init(), then you can add a source node with \ref addSource() |
|
415 |
///If you need better control on the execution, you have to call |
|
416 |
///\ref init() first, then you can add a source node with \ref addSource() |
|
416 | 417 |
///and perform the actual computation with \ref start(). |
... | ... |
@@ -671,5 +672,5 @@ |
671 | 672 |
|
672 |
///The DFS path to |
|
673 |
///The DFS path to the given node. |
|
673 | 674 |
|
674 |
///Returns the DFS path to |
|
675 |
///Returns the DFS path to the given node from the root(s). |
|
675 | 676 |
/// |
... | ... |
@@ -681,5 +682,5 @@ |
681 | 682 |
|
682 |
///The distance of |
|
683 |
///The distance of the given node from the root(s). |
|
683 | 684 |
|
684 |
///Returns the distance of |
|
685 |
///Returns the distance of the given node from the root(s). |
|
685 | 686 |
/// |
... | ... |
@@ -692,3 +693,3 @@ |
692 | 693 |
|
693 |
///Returns the 'previous arc' of the %DFS tree for |
|
694 |
///Returns the 'previous arc' of the %DFS tree for the given node. |
|
694 | 695 |
|
... | ... |
@@ -700,3 +701,3 @@ |
700 | 701 |
///The %DFS tree used here is equal to the %DFS tree used in |
701 |
///\ref predNode(). |
|
702 |
///\ref predNode() and \ref predMap(). |
|
702 | 703 |
/// |
... | ... |
@@ -706,3 +707,3 @@ |
706 | 707 |
|
707 |
///Returns the 'previous node' of the %DFS tree. |
|
708 |
///Returns the 'previous node' of the %DFS tree for the given node. |
|
708 | 709 |
|
... | ... |
@@ -710,3 +711,3 @@ |
710 | 711 |
///tree for the node \c v, i.e. it returns the last but one node |
711 |
/// |
|
712 |
///of a %DFS path from a root to \c v. It is \c INVALID |
|
712 | 713 |
///if \c v is not reached from the root(s) or if \c v is a root. |
... | ... |
@@ -714,3 +715,3 @@ |
714 | 715 |
///The %DFS tree used here is equal to the %DFS tree used in |
715 |
///\ref predArc(). |
|
716 |
///\ref predArc() and \ref predMap(). |
|
716 | 717 |
/// |
... | ... |
@@ -735,3 +736,3 @@ |
735 | 736 |
///Returns a const reference to the node map that stores the predecessor |
736 |
///arcs, which form the DFS tree. |
|
737 |
///arcs, which form the DFS tree (forest). |
|
737 | 738 |
/// |
... | ... |
@@ -741,3 +742,3 @@ |
741 | 742 |
|
742 |
///Checks if |
|
743 |
///Checks if the given node. node is reached from the root(s). |
|
743 | 744 |
|
... | ... |
@@ -767,3 +768,3 @@ |
767 | 768 |
///arcs of the %DFS paths. |
768 |
///It must |
|
769 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
769 | 770 |
typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap; |
... | ... |
@@ -782,3 +783,3 @@ |
782 | 783 |
///The type of the map that indicates which nodes are processed. |
783 |
///It must |
|
784 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
784 | 785 |
///By default it is a NullMap. |
... | ... |
@@ -802,3 +803,3 @@ |
802 | 803 |
///The type of the map that indicates which nodes are reached. |
803 |
///It must |
|
804 |
///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
|
804 | 805 |
typedef typename Digraph::template NodeMap<bool> ReachedMap; |
... | ... |
@@ -817,3 +818,3 @@ |
817 | 818 |
///The type of the map that stores the distances of the nodes. |
818 |
///It must |
|
819 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
819 | 820 |
typedef typename Digraph::template NodeMap<int> DistMap; |
... | ... |
@@ -832,3 +833,3 @@ |
832 | 833 |
///The type of the DFS paths. |
833 |
///It must |
|
834 |
///It must conform to the \ref concepts::Path "Path" concept. |
|
834 | 835 |
typedef lemon::Path<Digraph> Path; |
... | ... |
@@ -838,8 +839,4 @@ |
838 | 839 |
|
839 |
/// To make it easier to use Dfs algorithm |
|
840 |
/// we have created a wizard class. |
|
841 |
/// This \ref DfsWizard class needs default traits, |
|
842 |
/// as well as the \ref Dfs class. |
|
843 |
/// The \ref DfsWizardBase is a class to be the default traits of the |
|
844 |
/// \ref DfsWizard class. |
|
840 |
/// Default traits class used by DfsWizard. |
|
841 |
/// \tparam GR The type of the digraph. |
|
845 | 842 |
template<class GR> |
... | ... |
@@ -871,3 +868,3 @@ |
871 | 868 |
|
872 |
/// This constructor does not require parameters, |
|
869 |
/// This constructor does not require parameters, it initiates |
|
873 | 870 |
/// all of the attributes to \c 0. |
... | ... |
@@ -901,3 +898,2 @@ |
901 | 898 |
|
902 |
///The type of the digraph the algorithm runs on. |
|
903 | 899 |
typedef typename TR::Digraph Digraph; |
... | ... |
@@ -909,12 +905,6 @@ |
909 | 905 |
|
910 |
///\brief The type of the map that stores the predecessor |
|
911 |
///arcs of the DFS paths. |
|
912 | 906 |
typedef typename TR::PredMap PredMap; |
913 |
///\brief The type of the map that stores the distances of the nodes. |
|
914 | 907 |
typedef typename TR::DistMap DistMap; |
915 |
///\brief The type of the map that indicates which nodes are reached. |
|
916 | 908 |
typedef typename TR::ReachedMap ReachedMap; |
917 |
///\brief The type of the map that indicates which nodes are processed. |
|
918 | 909 |
typedef typename TR::ProcessedMap ProcessedMap; |
919 |
///The type of the DFS paths |
|
920 | 910 |
typedef typename TR::Path Path; |
... | ... |
@@ -1001,7 +991,8 @@ |
1001 | 991 |
}; |
1002 |
///\brief \ref named-func-param "Named parameter" |
|
1003 |
///for setting PredMap object. |
|
992 |
|
|
993 |
///\brief \ref named-templ-param "Named parameter" for setting |
|
994 |
///the predecessor map. |
|
1004 | 995 |
/// |
1005 |
///\ref named-func-param "Named parameter" |
|
1006 |
///for setting PredMap object. |
|
996 |
///\ref named-templ-param "Named parameter" function for setting |
|
997 |
///the map that stores the predecessor arcs of the nodes. |
|
1007 | 998 |
template<class T> |
... | ... |
@@ -1019,7 +1010,8 @@ |
1019 | 1010 |
}; |
1020 |
///\brief \ref named-func-param "Named parameter" |
|
1021 |
///for setting ReachedMap object. |
|
1011 |
|
|
1012 |
///\brief \ref named-templ-param "Named parameter" for setting |
|
1013 |
///the reached map. |
|
1022 | 1014 |
/// |
1023 |
/// \ref named-func-param "Named parameter" |
|
1024 |
///for setting ReachedMap object. |
|
1015 |
///\ref named-templ-param "Named parameter" function for setting |
|
1016 |
///the map that indicates which nodes are reached. |
|
1025 | 1017 |
template<class T> |
... | ... |
@@ -1037,7 +1029,9 @@ |
1037 | 1029 |
}; |
1038 |
///\brief \ref named-func-param "Named parameter" |
|
1039 |
///for setting DistMap object. |
|
1030 |
|
|
1031 |
///\brief \ref named-templ-param "Named parameter" for setting |
|
1032 |
///the distance map. |
|
1040 | 1033 |
/// |
1041 |
/// \ref named-func-param "Named parameter" |
|
1042 |
///for setting DistMap object. |
|
1034 |
///\ref named-templ-param "Named parameter" function for setting |
|
1035 |
///the map that stores the distances of the nodes calculated |
|
1036 |
///by the algorithm. |
|
1043 | 1037 |
template<class T> |
... | ... |
@@ -1055,7 +1049,8 @@ |
1055 | 1049 |
}; |
1056 |
///\brief \ref named-func-param "Named parameter" |
|
1057 |
///for setting ProcessedMap object. |
|
1050 |
|
|
1051 |
///\brief \ref named-func-param "Named parameter" for setting |
|
1052 |
///the processed map. |
|
1058 | 1053 |
/// |
1059 |
/// \ref named-func-param "Named parameter" |
|
1060 |
///for setting ProcessedMap object. |
|
1054 |
///\ref named-templ-param "Named parameter" function for setting |
|
1055 |
///the map that indicates which nodes are processed. |
|
1061 | 1056 |
template<class T> |
... | ... |
@@ -1210,3 +1205,3 @@ |
1210 | 1205 |
/// The type of the map that indicates which nodes are reached. |
1211 |
/// It must |
|
1206 |
/// It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
|
1212 | 1207 |
typedef typename Digraph::template NodeMap<bool> ReachedMap; |
... | ... |
@@ -1371,4 +1366,4 @@ |
1371 | 1366 |
/// member functions called \ref run(Node) "run()".\n |
1372 |
/// If you need more control on the execution, first you have to call |
|
1373 |
/// \ref init(), then you can add a source node with \ref addSource() |
|
1367 |
/// If you need better control on the execution, you have to call |
|
1368 |
/// \ref init() first, then you can add a source node with \ref addSource() |
|
1374 | 1369 |
/// and perform the actual computation with \ref start(). |
... | ... |
@@ -1622,3 +1617,3 @@ |
1622 | 1617 |
|
1623 |
/// \brief Checks if |
|
1618 |
/// \brief Checks if the given node is reached from the root(s). |
|
1624 | 1619 |
/// |
... | ... |
@@ -72,5 +72,5 @@ |
72 | 72 |
///The type of the map that stores the arc lengths. |
73 |
///It must |
|
73 |
///It must conform to the \ref concepts::ReadMap "ReadMap" concept. |
|
74 | 74 |
typedef LEN LengthMap; |
75 |
///The type of the |
|
75 |
///The type of the arc lengths. |
|
76 | 76 |
typedef typename LEN::Value Value; |
... | ... |
@@ -118,3 +118,3 @@ |
118 | 118 |
///arcs of the shortest paths. |
119 |
///It must |
|
119 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
120 | 120 |
typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap; |
... | ... |
@@ -133,3 +133,3 @@ |
133 | 133 |
///The type of the map that indicates which nodes are processed. |
134 |
///It must |
|
134 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
135 | 135 |
///By default it is a NullMap. |
... | ... |
@@ -153,3 +153,3 @@ |
153 | 153 |
///The type of the map that stores the distances of the nodes. |
154 |
///It must |
|
154 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
155 | 155 |
typedef typename Digraph::template NodeMap<typename LEN::Value> DistMap; |
... | ... |
@@ -171,2 +171,6 @@ |
171 | 171 |
/// |
172 |
///The %Dijkstra algorithm solves the single-source shortest path problem |
|
173 |
///when all arc lengths are non-negative. If there are negative lengths, |
|
174 |
///the BellmanFord algorithm should be used instead. |
|
175 |
/// |
|
172 | 176 |
///The arc lengths are passed to the algorithm using a |
... | ... |
@@ -203,3 +207,3 @@ |
203 | 207 |
|
204 |
///The type of the |
|
208 |
///The type of the arc lengths. |
|
205 | 209 |
typedef typename TR::LengthMap::Value Value; |
... | ... |
@@ -306,3 +310,3 @@ |
306 | 310 |
///\c PredMap type. |
307 |
///It must |
|
311 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
308 | 312 |
template <class T> |
... | ... |
@@ -327,3 +331,3 @@ |
327 | 331 |
///\c DistMap type. |
328 |
///It must |
|
332 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
329 | 333 |
template <class T> |
... | ... |
@@ -348,3 +352,3 @@ |
348 | 352 |
///\c ProcessedMap type. |
349 |
///It must |
|
353 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
350 | 354 |
template <class T> |
... | ... |
@@ -445,2 +449,3 @@ |
445 | 449 |
///\c OperationTraits type. |
450 |
/// For more information see \ref DijkstraDefaultOperationTraits. |
|
446 | 451 |
template <class T> |
... | ... |
@@ -586,4 +591,4 @@ |
586 | 591 |
///one of the member functions called \ref run(Node) "run()".\n |
587 |
///If you need more control on the execution, first you have to call |
|
588 |
///\ref init(), then you can add several source nodes with |
|
592 |
///If you need better control on the execution, you have to call |
|
593 |
///\ref init() first, then you can add several source nodes with |
|
589 | 594 |
///\ref addSource(). Finally the actual path computation can be |
... | ... |
@@ -803,3 +808,3 @@ |
803 | 808 |
///functions.\n |
804 |
///Either \ref run(Node) "run()" or \ref |
|
809 |
///Either \ref run(Node) "run()" or \ref init() should be called |
|
805 | 810 |
///before using them. |
... | ... |
@@ -808,5 +813,5 @@ |
808 | 813 |
|
809 |
///The shortest path to |
|
814 |
///The shortest path to the given node. |
|
810 | 815 |
|
811 |
///Returns the shortest path to |
|
816 |
///Returns the shortest path to the given node from the root(s). |
|
812 | 817 |
/// |
... | ... |
@@ -818,5 +823,5 @@ |
818 | 823 |
|
819 |
///The distance of |
|
824 |
///The distance of the given node from the root(s). |
|
820 | 825 |
|
821 |
///Returns the distance of |
|
826 |
///Returns the distance of the given node from the root(s). |
|
822 | 827 |
/// |
... | ... |
@@ -829,4 +834,5 @@ |
829 | 834 |
|
830 |
///Returns the 'previous arc' of the shortest path tree for a node. |
|
831 |
|
|
835 |
///\brief Returns the 'previous arc' of the shortest path tree for |
|
836 |
///the given node. |
|
837 |
/// |
|
832 | 838 |
///This function returns the 'previous arc' of the shortest path |
... | ... |
@@ -837,3 +843,3 @@ |
837 | 843 |
///The shortest path tree used here is equal to the shortest path |
838 |
///tree used in \ref predNode(). |
|
844 |
///tree used in \ref predNode() and \ref predMap(). |
|
839 | 845 |
/// |
... | ... |
@@ -843,7 +849,8 @@ |
843 | 849 |
|
844 |
///Returns the 'previous node' of the shortest path tree for a node. |
|
845 |
|
|
850 |
///\brief Returns the 'previous node' of the shortest path tree for |
|
851 |
///the given node. |
|
852 |
/// |
|
846 | 853 |
///This function returns the 'previous node' of the shortest path |
847 | 854 |
///tree for the node \c v, i.e. it returns the last but one node |
848 |
/// |
|
855 |
///of a shortest path from a root to \c v. It is \c INVALID |
|
849 | 856 |
///if \c v is not reached from the root(s) or if \c v is a root. |
... | ... |
@@ -851,3 +858,3 @@ |
851 | 858 |
///The shortest path tree used here is equal to the shortest path |
852 |
///tree used in \ref predArc(). |
|
859 |
///tree used in \ref predArc() and \ref predMap(). |
|
853 | 860 |
/// |
... | ... |
@@ -872,3 +879,3 @@ |
872 | 879 |
///Returns a const reference to the node map that stores the predecessor |
873 |
///arcs, which form the shortest path tree. |
|
880 |
///arcs, which form the shortest path tree (forest). |
|
874 | 881 |
/// |
... | ... |
@@ -878,3 +885,3 @@ |
878 | 885 |
|
879 |
///Checks if |
|
886 |
///Checks if the given node is reached from the root(s). |
|
880 | 887 |
|
... | ... |
@@ -897,5 +904,5 @@ |
897 | 904 |
|
898 |
///The current distance of |
|
905 |
///The current distance of the given node from the root(s). |
|
899 | 906 |
|
900 |
///Returns the current distance of |
|
907 |
///Returns the current distance of the given node from the root(s). |
|
901 | 908 |
///It may be decreased in the following processes. |
... | ... |
@@ -926,5 +933,5 @@ |
926 | 933 |
///The type of the map that stores the arc lengths. |
927 |
///It must |
|
934 |
///It must conform to the \ref concepts::ReadMap "ReadMap" concept. |
|
928 | 935 |
typedef LEN LengthMap; |
929 |
///The type of the |
|
936 |
///The type of the arc lengths. |
|
930 | 937 |
typedef typename LEN::Value Value; |
... | ... |
@@ -975,3 +982,3 @@ |
975 | 982 |
///arcs of the shortest paths. |
976 |
///It must |
|
983 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
977 | 984 |
typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap; |
... | ... |
@@ -990,3 +997,3 @@ |
990 | 997 |
///The type of the map that indicates which nodes are processed. |
991 |
///It must |
|
998 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
992 | 999 |
///By default it is a NullMap. |
... | ... |
@@ -1010,3 +1017,3 @@ |
1010 | 1017 |
///The type of the map that stores the distances of the nodes. |
1011 |
///It must |
|
1018 |
///It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
1012 | 1019 |
typedef typename Digraph::template NodeMap<typename LEN::Value> DistMap; |
... | ... |
@@ -1025,3 +1032,3 @@ |
1025 | 1032 |
///The type of the shortest paths. |
1026 |
///It must |
|
1033 |
///It must conform to the \ref concepts::Path "Path" concept. |
|
1027 | 1034 |
typedef lemon::Path<Digraph> Path; |
... | ... |
@@ -1031,8 +1038,5 @@ |
1031 | 1038 |
|
1032 |
/// To make it easier to use Dijkstra algorithm |
|
1033 |
/// we have created a wizard class. |
|
1034 |
/// This \ref DijkstraWizard class needs default traits, |
|
1035 |
/// as well as the \ref Dijkstra class. |
|
1036 |
/// The \ref DijkstraWizardBase is a class to be the default traits of the |
|
1037 |
/// \ref DijkstraWizard class. |
|
1039 |
/// Default traits class used by DijkstraWizard. |
|
1040 |
/// \tparam GR The type of the digraph. |
|
1041 |
/// \tparam LEN The type of the length map. |
|
1038 | 1042 |
template<typename GR, typename LEN> |
... | ... |
@@ -1095,3 +1099,2 @@ |
1095 | 1099 |
|
1096 |
///The type of the digraph the algorithm runs on. |
|
1097 | 1100 |
typedef typename TR::Digraph Digraph; |
... | ... |
@@ -1103,16 +1106,8 @@ |
1103 | 1106 |
|
1104 |
///The type of the map that stores the arc lengths. |
|
1105 | 1107 |
typedef typename TR::LengthMap LengthMap; |
1106 |
///The type of the length of the arcs. |
|
1107 | 1108 |
typedef typename LengthMap::Value Value; |
1108 |
///\brief The type of the map that stores the predecessor |
|
1109 |
///arcs of the shortest paths. |
|
1110 | 1109 |
typedef typename TR::PredMap PredMap; |
1111 |
///The type of the map that stores the distances of the nodes. |
|
1112 | 1110 |
typedef typename TR::DistMap DistMap; |
1113 |
///The type of the map that indicates which nodes are processed. |
|
1114 | 1111 |
typedef typename TR::ProcessedMap ProcessedMap; |
1115 |
///The type of the shortest paths |
|
1116 | 1112 |
typedef typename TR::Path Path; |
1117 |
///The heap type used by the dijkstra algorithm. |
|
1118 | 1113 |
typedef typename TR::Heap Heap; |
... | ... |
@@ -1188,7 +1183,8 @@ |
1188 | 1183 |
}; |
1189 |
///\brief \ref named-func-param "Named parameter" |
|
1190 |
///for setting PredMap object. |
|
1184 |
|
|
1185 |
///\brief \ref named-templ-param "Named parameter" for setting |
|
1186 |
///the predecessor map. |
|
1191 | 1187 |
/// |
1192 |
///\ref named-func-param "Named parameter" |
|
1193 |
///for setting PredMap object. |
|
1188 |
///\ref named-templ-param "Named parameter" function for setting |
|
1189 |
///the map that stores the predecessor arcs of the nodes. |
|
1194 | 1190 |
template<class T> |
... | ... |
@@ -1206,7 +1202,9 @@ |
1206 | 1202 |
}; |
1207 |
///\brief \ref named-func-param "Named parameter" |
|
1208 |
///for setting DistMap object. |
|
1203 |
|
|
1204 |
///\brief \ref named-templ-param "Named parameter" for setting |
|
1205 |
///the distance map. |
|
1209 | 1206 |
/// |
1210 |
///\ref named-func-param "Named parameter" |
|
1211 |
///for setting DistMap object. |
|
1207 |
///\ref named-templ-param "Named parameter" function for setting |
|
1208 |
///the map that stores the distances of the nodes calculated |
|
1209 |
///by the algorithm. |
|
1212 | 1210 |
template<class T> |
... | ... |
@@ -1224,7 +1222,8 @@ |
1224 | 1222 |
}; |
1225 |
///\brief \ref named-func-param "Named parameter" |
|
1226 |
///for setting ProcessedMap object. |
|
1223 |
|
|
1224 |
///\brief \ref named-func-param "Named parameter" for setting |
|
1225 |
///the processed map. |
|
1227 | 1226 |
/// |
1228 |
/// \ref named-func-param "Named parameter" |
|
1229 |
///for setting ProcessedMap object. |
|
1227 |
///\ref named-templ-param "Named parameter" function for setting |
|
1228 |
///the map that indicates which nodes are processed. |
|
1230 | 1229 |
template<class T> |
... | ... |
@@ -1241,2 +1240,3 @@ |
1241 | 1240 |
}; |
1241 |
|
|
1242 | 1242 |
///\brief \ref named-func-param "Named parameter" |
... | ... |
@@ -23,12 +23,5 @@ |
23 | 23 |
|
24 |
///\ingroup |
|
24 |
///\ingroup geomdat |
|
25 | 25 |
///\file |
26 | 26 |
///\brief A simple two dimensional vector and a bounding box implementation |
27 |
/// |
|
28 |
/// The class \ref lemon::dim2::Point "dim2::Point" implements |
|
29 |
/// a two dimensional vector with the usual operations. |
|
30 |
/// |
|
31 |
/// The class \ref lemon::dim2::Box "dim2::Box" can be used to determine |
|
32 |
/// the rectangular bounding box of a set of |
|
33 |
/// \ref lemon::dim2::Point "dim2::Point"'s. |
|
34 | 27 |
|
... | ... |
@@ -42,3 +35,3 @@ |
42 | 35 |
|
43 |
/// \addtogroup |
|
36 |
/// \addtogroup geomdat |
|
44 | 37 |
/// @{ |
... | ... |
@@ -22,6 +22,7 @@ |
22 | 22 |
///\file |
23 |
///\ingroup auxdat |
|
24 |
///\brief Fibonacci Heap implementation. |
|
23 |
///\ingroup heaps |
|
24 |
///\brief Fibonacci heap implementation. |
|
25 | 25 |
|
26 | 26 |
#include <vector> |
27 |
#include <utility> |
|
27 | 28 |
#include <functional> |
... | ... |
@@ -31,28 +32,22 @@ |
31 | 32 |
|
32 |
/// \ingroup |
|
33 |
/// \ingroup heaps |
|
33 | 34 |
/// |
34 |
///\brief Fibonacci |
|
35 |
/// \brief Fibonacci heap data structure. |
|
35 | 36 |
/// |
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 |
/// |
|
37 |
/// This class implements the \e Fibonacci \e heap data structure. |
|
38 |
/// It fully conforms to the \ref concepts::Heap "heap concept". |
|
41 | 39 |
/// |
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 |
|
40 |
/// The methods \ref increase() and \ref erase() are not efficient in a |
|
41 |
/// Fibonacci heap. In case of many calls of these operations, it is |
|
42 |
/// better to use other heap structure, e.g. \ref BinHeap "binary heap". |
|
45 | 43 |
/// |
46 |
///\param PRIO Type of the priority of the items. |
|
47 |
///\param IM A read and writable Item int map, used internally |
|
48 |
///to handle the cross references. |
|
49 |
///\param CMP A class for the ordering of the priorities. The |
|
50 |
///default is \c std::less<PRIO>. |
|
51 |
/// |
|
52 |
///\sa BinHeap |
|
53 |
///\sa Dijkstra |
|
44 |
/// \tparam PR Type of the priorities of the items. |
|
45 |
/// \tparam IM A read-writable item map with \c int values, used |
|
46 |
/// internally to handle the cross references. |
|
47 |
/// \tparam CMP A functor class for comparing the priorities. |
|
48 |
/// The default is \c std::less<PR>. |
|
54 | 49 |
#ifdef DOXYGEN |
55 |
template <typename |
|
50 |
template <typename PR, typename IM, typename CMP> |
|
56 | 51 |
#else |
57 |
template <typename |
|
52 |
template <typename PR, typename IM, typename CMP = std::less<PR> > |
|
58 | 53 |
#endif |
... | ... |
@@ -60,11 +55,12 @@ |
60 | 55 |
public: |
61 |
|
|
56 |
|
|
57 |
/// Type of the item-int map. |
|
62 | 58 |
typedef IM ItemIntMap; |
63 |
///\e |
|
64 |
typedef PRIO Prio; |
|
65 |
/// |
|
59 |
/// Type of the priorities. |
|
60 |
typedef PR Prio; |
|
61 |
/// Type of the items stored in the heap. |
|
66 | 62 |
typedef typename ItemIntMap::Key Item; |
67 |
/// |
|
63 |
/// Type of the item-priority pairs. |
|
68 | 64 |
typedef std::pair<Item,Prio> Pair; |
69 |
/// |
|
65 |
/// Functor type for comparing the priorities. |
|
70 | 66 |
typedef CMP Compare; |
... | ... |
@@ -82,6 +78,6 @@ |
82 | 78 |
|
83 |
/// \brief Type to represent the |
|
79 |
/// \brief Type to represent the states of the items. |
|
84 | 80 |
/// |
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 |
|
81 |
/// Each item has a state associated to it. It can be "in heap", |
|
82 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
|
87 | 83 |
/// heap's point of view, but may be useful to the user. |
... | ... |
@@ -96,6 +92,8 @@ |
96 | 92 |
|
97 |
/// \brief |
|
93 |
/// \brief Constructor. |
|
98 | 94 |
/// |
99 |
/// \c map should be given to the constructor, since it is |
|
100 |
/// used internally to handle the cross references. |
|
95 |
/// Constructor. |
|
96 |
/// \param map A map that assigns \c int values to the items. |
|
97 |
/// It is used internally to handle the cross references. |
|
98 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
101 | 99 |
explicit FibHeap(ItemIntMap &map) |
... | ... |
@@ -103,7 +101,9 @@ |
103 | 101 |
|
104 |
/// \brief |
|
102 |
/// \brief Constructor. |
|
105 | 103 |
/// |
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 |
/// |
|
104 |
/// Constructor. |
|
105 |
/// \param map A map that assigns \c int values to the items. |
|
106 |
/// It is used internally to handle the cross references. |
|
107 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
108 |
/// \param comp The function object used for comparing the priorities. |
|
109 | 109 |
FibHeap(ItemIntMap &map, const Compare &comp) |
... | ... |
@@ -113,16 +113,17 @@ |
113 | 113 |
/// |
114 |
/// |
|
114 |
/// This function returns the number of items stored in the heap. |
|
115 | 115 |
int size() const { return _num; } |
116 | 116 |
|
117 |
/// \brief |
|
117 |
/// \brief Check if the heap is empty. |
|
118 | 118 |
/// |
119 |
/// |
|
119 |
/// This function returns \c true if the heap is empty. |
|
120 | 120 |
bool empty() const { return _num==0; } |
121 | 121 |
|
122 |
/// \brief Make |
|
122 |
/// \brief Make the heap empty. |
|
123 | 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. |
|
124 |
/// This functon makes the heap empty. |
|
125 |
/// It does not change the cross reference map. If you want to reuse |
|
126 |
/// a heap that is not surely empty, you should first clear it and |
|
127 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
128 |
/// for each item. |
|
128 | 129 |
void clear() { |
... | ... |
@@ -131,21 +132,10 @@ |
131 | 132 |
|
132 |
/// \brief \c item gets to the heap with priority \c value independently |
|
133 |
/// if \c item was already there. |
|
133 |
/// \brief Insert an item into the heap with the given priority. |
|
134 | 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) { |
|
135 |
/// This function inserts the given item into the heap with the |
|
136 |
/// given priority. |
|
137 |
/// \param item The item to insert. |
|
138 |
/// \param prio The priority of the item. |
|
139 |
/// \pre \e item must not be stored in the heap. |
|
140 |
void push (const Item& item, const Prio& prio) { |
|
151 | 141 |
int i=_iim[item]; |
... | ... |
@@ -170,3 +160,3 @@ |
170 | 160 |
_data[i].left_neighbor=_minimum; |
171 |
if ( _comp( |
|
161 |
if ( _comp( prio, _data[_minimum].prio) ) _minimum=i; |
|
172 | 162 |
} else { |
... | ... |
@@ -175,3 +165,3 @@ |
175 | 165 |
} |
176 |
_data[i].prio= |
|
166 |
_data[i].prio=prio; |
|
177 | 167 |
++_num; |
... | ... |
@@ -179,27 +169,17 @@ |
179 | 169 |
|
180 |
/// \brief |
|
170 |
/// \brief Return the item having minimum priority. |
|
181 | 171 |
/// |
182 |
/// This method returns the item with minimum priority relative to \c |
|
183 |
/// Compare. |
|
184 |
/// |
|
172 |
/// This function returns the item having minimum priority. |
|
173 |
/// \pre The heap must be non-empty. |
|
185 | 174 |
Item top() const { return _data[_minimum].name; } |
186 | 175 |
|
187 |
/// \brief |
|
176 |
/// \brief The minimum priority. |
|
188 | 177 |
/// |
189 |
/// It returns the minimum priority relative to \c Compare. |
|
190 |
/// \pre The heap must be nonempty. |
|
191 |
|
|
178 |
/// This function returns the minimum priority. |
|
179 |
/// \pre The heap must be non-empty. |
|
180 |
Prio prio() const { return _data[_minimum].prio; } |
|
192 | 181 |
|
193 |
/// \brief |
|
182 |
/// \brief Remove the item having minimum priority. |
|
194 | 183 |
/// |
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. |
|
184 |
/// This function removes the item having minimum priority. |
|
205 | 185 |
/// \pre The heap must be non-empty. |
... | ... |
@@ -210,3 +190,3 @@ |
210 | 190 |
if ( _data[_minimum].degree!=0 ) { |
211 |
|
|
191 |
makeRoot(_data[_minimum].child); |
|
212 | 192 |
_minimum=_data[_minimum].child; |
... | ... |
@@ -223,3 +203,3 @@ |
223 | 203 |
|
224 |
|
|
204 |
makeRoot(child); |
|
225 | 205 |
|
... | ... |
@@ -236,6 +216,8 @@ |
236 | 216 |
|
237 |
/// \brief |
|
217 |
/// \brief Remove the given item from the heap. |
|
238 | 218 |
/// |
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. |
|
219 |
/// This function removes the given item from the heap if it is |
|
220 |
/// already stored. |
|
221 |
/// \param item The item to delete. |
|
222 |
/// \pre \e item must be in the heap. |
|
241 | 223 |
void erase (const Item& item) { |
... | ... |
@@ -254,13 +236,39 @@ |
254 | 236 |
|
255 |
/// \brief |
|
237 |
/// \brief The priority of the given item. |
|
256 | 238 |
/// |
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) { |
|
239 |
/// This function returns the priority of the given item. |
|
240 |
/// \param item The item. |
|
241 |
/// \pre \e item must be in the heap. |
|
242 |
Prio operator[](const Item& item) const { |
|
243 |
return _data[_iim[item]].prio; |
|
244 |
} |
|
245 |
|
|
246 |
/// \brief Set the priority of an item or insert it, if it is |
|
247 |
/// not stored in the heap. |
|
248 |
/// |
|
249 |
/// This method sets the priority of the given item if it is |
|
250 |
/// already stored in the heap. Otherwise it inserts the given |
|
251 |
/// item into the heap with the given priority. |
|
252 |
/// \param item The item. |
|
253 |
/// \param prio The priority. |
|
254 |
void set (const Item& item, const Prio& prio) { |
|
261 | 255 |
int i=_iim[item]; |
262 |
_data[i]. |
|
256 |
if ( i >= 0 && _data[i].in ) { |
|
257 |
if ( _comp(prio, _data[i].prio) ) decrease(item, prio); |
|
258 |
if ( _comp(_data[i].prio, prio) ) increase(item, prio); |
|
259 |
} else push(item, prio); |
|
260 |
} |
|
261 |
|
|
262 |
/// \brief Decrease the priority of an item to the given value. |
|
263 |
/// |
|
264 |
/// This function decreases the priority of an item to the given value. |
|
265 |
/// \param item The item. |
|
266 |
/// \param prio The priority. |
|
267 |
/// \pre \e item must be stored in the heap with priority at least \e prio. |
|
268 |
void decrease (const Item& item, const Prio& prio) { |
|
269 |
int i=_iim[item]; |
|
270 |
_data[i].prio=prio; |
|
263 | 271 |
int p=_data[i].parent; |
264 | 272 |
|
265 |
if ( p!=-1 && _comp( |
|
273 |
if ( p!=-1 && _comp(prio, _data[p].prio) ) { |
|
266 | 274 |
cut(i,p); |
... | ... |
@@ -268,25 +276,24 @@ |
268 | 276 |
} |
269 |
if ( _comp( |
|
277 |
if ( _comp(prio, _data[_minimum].prio) ) _minimum=i; |
|
270 | 278 |
} |
271 | 279 |
|
272 |
/// \brief |
|
280 |
/// \brief Increase the priority of an item to the given value. |
|
273 | 281 |
/// |
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) { |
|
282 |
/// This function increases the priority of an item to the given value. |
|
283 |
/// \param item The item. |
|
284 |
/// \param prio The priority. |
|
285 |
/// \pre \e item must be stored in the heap with priority at most \e prio. |
|
286 |
void increase (const Item& item, const Prio& prio) { |
|
280 | 287 |
erase(item); |
281 |
push(item, |
|
288 |
push(item, prio); |
|
282 | 289 |
} |
283 | 290 |
|
284 |
|
|
285 |
/// \brief Returns if \c item is in, has already been in, or has never |
|
286 |
/// |
|
291 |
/// \brief Return the state of an item. |
|
287 | 292 |
/// |
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. |
|
293 |
/// This method returns \c PRE_HEAP if the given item has never |
|
294 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
|
295 |
/// and \c POST_HEAP otherwise. |
|
296 |
/// In the latter case it is possible that the item will get back |
|
297 |
/// to the heap again. |
|
298 |
/// \param item The item. |
|
292 | 299 |
State state(const Item &item) const { |
... | ... |
@@ -300,7 +307,7 @@ |
300 | 307 |
|
301 |
/// \brief |
|
308 |
/// \brief Set the state of an item in the heap. |
|
302 | 309 |
/// |
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 |
/// |
|
310 |
/// This function sets the state of the given item in the heap. |
|
311 |
/// It can be used to manually clear the heap when it is important |
|
312 |
/// to achive better time complexity. |
|
306 | 313 |
/// \param i The item. |
... | ... |
@@ -367,3 +374,3 @@ |
367 | 374 |
|
368 |
void |
|
375 |
void makeRoot(int c) { |
|
369 | 376 |
int s=c; |
... | ... |
@@ -361,6 +361,6 @@ |
361 | 361 |
/// \code |
362 |
/// |
|
362 |
/// GomoryHu<Graph> gom(g, capacities); |
|
363 | 363 |
/// gom.run(); |
364 | 364 |
/// int cnt=0; |
365 |
/// for( |
|
365 |
/// for(GomoryHu<Graph>::MinCutNodeIt n(gom,s,t); n!=INVALID; ++n) ++cnt; |
|
366 | 366 |
/// \endcode |
... | ... |
@@ -458,6 +458,6 @@ |
458 | 458 |
/// \code |
459 |
/// |
|
459 |
/// GomoryHu<Graph> gom(g, capacities); |
|
460 | 460 |
/// gom.run(); |
461 | 461 |
/// int value=0; |
462 |
/// for( |
|
462 |
/// for(GomoryHu<Graph>::MinCutEdgeIt e(gom,s,t); e!=INVALID; ++e) |
|
463 | 463 |
/// value+=capacities[e]; |
... | ... |
@@ -1791,3 +1791,3 @@ |
1791 | 1791 |
/// std::vector<Node> v; |
1792 |
/// dfs(g |
|
1792 |
/// dfs(g).processedMap(loggerBoolMap(std::back_inserter(v))).run(s); |
|
1793 | 1793 |
/// \endcode |
... | ... |
@@ -1795,3 +1795,3 @@ |
1795 | 1795 |
/// std::vector<Node> v(countNodes(g)); |
1796 |
/// dfs(g |
|
1796 |
/// dfs(g).processedMap(loggerBoolMap(v.begin())).run(s); |
|
1797 | 1797 |
/// \endcode |
... | ... |
@@ -490,4 +490,4 @@ |
490 | 490 |
/// one of the member functions called \c run(...). \n |
491 |
/// If you need more control on the execution, |
|
492 |
/// first you must call \ref init(), then you can add several |
|
491 |
/// If you need better control on the execution, |
|
492 |
/// you have to call \ref init() first, then you can add several |
|
493 | 493 |
/// source nodes with \ref addSource(). |
... | ... |
@@ -54,3 +54,7 @@ |
54 | 54 |
/// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
55 |
#ifdef DOXYGEN |
|
56 |
typedef GR::ArcMap<Value> FlowMap; |
|
57 |
#else |
|
55 | 58 |
typedef typename Digraph::template ArcMap<Value> FlowMap; |
59 |
#endif |
|
56 | 60 |
|
... | ... |
@@ -69,5 +73,8 @@ |
69 | 73 |
/// |
70 |
/// \sa Elevator |
|
71 |
/// \sa LinkedElevator |
|
72 |
|
|
74 |
/// \sa Elevator, LinkedElevator |
|
75 |
#ifdef DOXYGEN |
|
76 |
typedef lemon::Elevator<GR, GR::Node> Elevator; |
|
77 |
#else |
|
78 |
typedef lemon::Elevator<Digraph, typename Digraph::Node> Elevator; |
|
79 |
#endif |
|
73 | 80 |
|
... | ... |
@@ -99,3 +106,3 @@ |
99 | 106 |
/// The preflow algorithms are the fastest known maximum |
100 |
/// flow algorithms. The current implementation |
|
107 |
/// flow algorithms. The current implementation uses a mixture of the |
|
101 | 108 |
/// \e "highest label" and the \e "bound decrease" heuristics. |
... | ... |
@@ -373,6 +380,7 @@ |
373 | 380 |
|
374 |
/// \brief Sets the tolerance used by algorithm. |
|
381 |
/// \brief Sets the tolerance used by the algorithm. |
|
375 | 382 |
/// |
376 |
/// Sets the tolerance used by algorithm. |
|
377 |
Preflow& tolerance(const Tolerance& tolerance) const { |
|
383 |
/// Sets the tolerance object used by the algorithm. |
|
384 |
/// \return <tt>(*this)</tt> |
|
385 |
Preflow& tolerance(const Tolerance& tolerance) { |
|
378 | 386 |
_tolerance = tolerance; |
... | ... |
@@ -383,5 +391,6 @@ |
383 | 391 |
/// |
384 |
/// Returns a const reference to the tolerance |
|
392 |
/// Returns a const reference to the tolerance object used by |
|
393 |
/// the algorithm. |
|
385 | 394 |
const Tolerance& tolerance() const { |
386 |
return |
|
395 |
return _tolerance; |
|
387 | 396 |
} |
... | ... |
@@ -391,4 +400,4 @@ |
391 | 400 |
/// \ref run() or \ref runMinCut().\n |
392 |
/// If you need more control on the initial solution or the execution, |
|
393 |
/// first you have to call one of the \ref init() functions, then |
|
401 |
/// If you need better control on the initial solution or the execution, |
|
402 |
/// you have to call one of the \ref init() functions first, then |
|
394 | 403 |
/// \ref startFirstPhase() and if you need it \ref startSecondPhase(). |
... | ... |
@@ -21,5 +21,5 @@ |
21 | 21 |
|
22 |
///\ingroup |
|
22 |
///\ingroup heaps |
|
23 | 23 |
///\file |
24 |
///\brief Radix |
|
24 |
///\brief Radix heap implementation. |
|
25 | 25 |
|
... | ... |
@@ -31,19 +31,14 @@ |
31 | 31 |
|
32 |
/// \ingroup |
|
32 |
/// \ingroup heaps |
|
33 | 33 |
/// |
34 |
/// \brief |
|
34 |
/// \brief Radix heap data structure. |
|
35 | 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 |
/// |
|
36 |
/// This class implements the \e radix \e heap data structure. |
|
37 |
/// It practically conforms to the \ref concepts::Heap "heap concept", |
|
38 |
/// but it has some limitations due its special implementation. |
|
39 |
/// The type of the priorities must be \c int and the priority of an |
|
40 |
/// item cannot be decreased under the priority of the last removed item. |
|
43 | 41 |
/// |
44 |
/// \param IM A read and writable Item int map, used internally |
|
45 |
/// to handle the cross references. |
|
46 |
/// |
|
47 |
/// \see BinHeap |
|
48 |
/// \ |
|
42 |
/// \tparam IM A read-writable item map with \c int values, used |
|
43 |
/// internally to handle the cross references. |
|
49 | 44 |
template <typename IM> |
... | ... |
@@ -52,5 +47,9 @@ |
52 | 47 |
public: |
53 |
|
|
48 |
|
|
49 |
/// Type of the item-int map. |
|
50 |
typedef IM ItemIntMap; |
|
51 |
/// Type of the priorities. |
|
54 | 52 |
typedef int Prio; |
55 |
|
|
53 |
/// Type of the items stored in the heap. |
|
54 |
typedef typename ItemIntMap::Key Item; |
|
56 | 55 |
|
... | ... |
@@ -58,10 +57,9 @@ |
58 | 57 |
/// |
59 |
/// This Exception is thrown when a smaller priority |
|
60 |
/// is inserted into the \e RadixHeap then the last time erased. |
|
58 |
/// This exception is thrown when an item is inserted into a |
|
59 |
/// RadixHeap with a priority smaller than the last erased one. |
|
61 | 60 |
/// \see RadixHeap |
62 |
|
|
63 |
class UnderFlowPriorityError : public Exception { |
|
61 |
class PriorityUnderflowError : public Exception { |
|
64 | 62 |
public: |
65 | 63 |
virtual const char* what() const throw() { |
66 |
return "lemon::RadixHeap:: |
|
64 |
return "lemon::RadixHeap::PriorityUnderflowError"; |
|
67 | 65 |
} |
... | ... |
@@ -69,14 +67,14 @@ |
69 | 67 |
|
70 |
/// \brief Type to represent the |
|
68 |
/// \brief Type to represent the states of the items. |
|
71 | 69 |
/// |
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 |
|
70 |
/// Each item has a state associated to it. It can be "in heap", |
|
71 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
|
74 | 72 |
/// heap's point of view, but may be useful to the user. |
75 | 73 |
/// |
76 |
/// The ItemIntMap \e should be initialized in such way that it maps |
|
77 |
/// PRE_HEAP (-1) to any element to be put in the heap... |
|
74 |
/// The item-int map must be initialized in such way that it assigns |
|
75 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
|
78 | 76 |
enum State { |
79 |
IN_HEAP = 0, |
|
80 |
PRE_HEAP = -1, |
|
81 |
|
|
77 |
IN_HEAP = 0, ///< = 0. |
|
78 |
PRE_HEAP = -1, ///< = -1. |
|
79 |
POST_HEAP = -2 ///< = -2. |
|
82 | 80 |
}; |
... | ... |
@@ -98,4 +96,4 @@ |
98 | 96 |
|
99 |
std::vector<RadixItem> data; |
|
100 |
std::vector<RadixBox> boxes; |
|
97 |
std::vector<RadixItem> _data; |
|
98 |
std::vector<RadixBox> _boxes; |
|
101 | 99 |
|
... | ... |
@@ -103,19 +101,18 @@ |
103 | 101 |
|
102 |
public: |
|
104 | 103 |
|
105 |
public: |
|
106 |
/// \brief The constructor. |
|
104 |
/// \brief Constructor. |
|
107 | 105 |
/// |
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 |
|
|
106 |
/// Constructor. |
|
107 |
/// \param map A map that assigns \c int values to the items. |
|
108 |
/// It is used internally to handle the cross references. |
|
109 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
110 |
/// \param minimum The initial minimum value of the heap. |
|
111 |
/// \param capacity The initial capacity of the heap. |
|
112 |
RadixHeap(ItemIntMap &map, int minimum = 0, int capacity = 0) |
|
113 |
: _iim(map) |
|
114 |
{ |
|
115 |
_boxes.push_back(RadixBox(minimum, 1)); |
|
116 |
_boxes.push_back(RadixBox(minimum + 1, 1)); |
|
117 |
while (lower(_boxes.size() - 1, capacity + minimum - 1)) { |
|
121 | 118 |
extend(); |
... | ... |
@@ -124,22 +121,26 @@ |
124 | 121 |
|
125 |
/// The number of items stored in the heap. |
|
122 |
/// \brief The number of items stored in the heap. |
|
126 | 123 |
/// |
127 |
/// \brief Returns the number of items stored in the heap. |
|
128 |
int size() const { return data.size(); } |
|
129 |
/// |
|
124 |
/// This function returns the number of items stored in the heap. |
|
125 |
int size() const { return _data.size(); } |
|
126 |
|
|
127 |
/// \brief Check if the heap is empty. |
|
130 | 128 |
/// |
131 |
/// Returns \c true if and only if the heap stores no items. |
|
132 |
bool empty() const { return data.empty(); } |
|
129 |
/// This function returns \c true if the heap is empty. |
|
130 |
bool empty() const { return _data.empty(); } |
|
133 | 131 |
|
134 |
/// \brief Make |
|
132 |
/// \brief Make the heap empty. |
|
135 | 133 |
/// |
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 |
|
|
134 |
/// This functon makes the heap empty. |
|
135 |
/// It does not change the cross reference map. If you want to reuse |
|
136 |
/// a heap that is not surely empty, you should first clear it and |
|
137 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
138 |
/// for each item. |
|
139 |
/// \param minimum The minimum value of the heap. |
|
140 |
/// \param capacity The capacity of the heap. |
|
141 |
void clear(int minimum = 0, int capacity = 0) { |
|
142 |
_data.clear(); _boxes.clear(); |
|
143 |
_boxes.push_back(RadixBox(minimum, 1)); |
|
144 |
_boxes.push_back(RadixBox(minimum + 1, 1)); |
|
145 |
while (lower(_boxes.size() - 1, capacity + minimum - 1)) { |
|
145 | 146 |
extend(); |
... | ... |
@@ -151,3 +152,3 @@ |
151 | 152 |
bool upper(int box, Prio pr) { |
152 |
return pr < |
|
153 |
return pr < _boxes[box].min; |
|
153 | 154 |
} |
... | ... |
@@ -155,14 +156,14 @@ |
155 | 156 |
bool lower(int box, Prio pr) { |
156 |
return pr >= |
|
157 |
return pr >= _boxes[box].min + _boxes[box].size; |
|
157 | 158 |
} |
158 | 159 |
|
159 |
// |
|
160 |
// Remove item from the box list |
|
160 | 161 |
void remove(int index) { |
161 |
if (data[index].prev >= 0) { |
|
162 |
data[data[index].prev].next = data[index].next; |
|
162 |
if (_data[index].prev >= 0) { |
|
163 |
_data[_data[index].prev].next = _data[index].next; |
|
163 | 164 |
} else { |
164 |
|
|
165 |
_boxes[_data[index].box].first = _data[index].next; |
|
165 | 166 |
} |
166 |
if (data[index].next >= 0) { |
|
167 |
data[data[index].next].prev = data[index].prev; |
|
167 |
if (_data[index].next >= 0) { |
|
168 |
_data[_data[index].next].prev = _data[index].prev; |
|
168 | 169 |
} |
... | ... |
@@ -170,28 +171,28 @@ |
170 | 171 |
|
171 |
// |
|
172 |
// Insert item into the box list |
|
172 | 173 |
void insert(int box, int index) { |
173 |
if (boxes[box].first == -1) { |
|
174 |
boxes[box].first = index; |
|
175 |
|
|
174 |
if (_boxes[box].first == -1) { |
|
175 |
_boxes[box].first = index; |
|
176 |
_data[index].next = _data[index].prev = -1; |
|
176 | 177 |
} 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; |
|
178 |
_data[index].next = _boxes[box].first; |
|
179 |
_data[_boxes[box].first].prev = index; |
|
180 |
_data[index].prev = -1; |
|
181 |
_boxes[box].first = index; |
|
181 | 182 |
} |
182 |
|
|
183 |
_data[index].box = box; |
|
183 | 184 |
} |
184 | 185 |
|
185 |
// |
|
186 |
// Add a new box to the box list |
|
186 | 187 |
void extend() { |
187 |
int min = boxes.back().min + boxes.back().size; |
|
188 |
int bs = 2 * boxes.back().size; |
|
189 |
|
|
188 |
int min = _boxes.back().min + _boxes.back().size; |
|
189 |
int bs = 2 * _boxes.back().size; |
|
190 |
_boxes.push_back(RadixBox(min, bs)); |
|
190 | 191 |
} |
191 | 192 |
|
192 |
/// \brief Move an item up into the proper box. |
|
193 |
void bubble_up(int index) { |
|
194 |
|
|
193 |
// Move an item up into the proper box. |
|
194 |
void bubbleUp(int index) { |
|
195 |
if (!lower(_data[index].box, _data[index].prio)) return; |
|
195 | 196 |
remove(index); |
196 |
int box = findUp( |
|
197 |
int box = findUp(_data[index].box, _data[index].prio); |
|
197 | 198 |
insert(box, index); |
... | ... |
@@ -199,6 +200,6 @@ |
199 | 200 |
|
200 |
// |
|
201 |
// Find up the proper box for the item with the given priority |
|
201 | 202 |
int findUp(int start, int pr) { |
202 | 203 |
while (lower(start, pr)) { |
203 |
if (++start == int( |
|
204 |
if (++start == int(_boxes.size())) { |
|
204 | 205 |
extend(); |
... | ... |
@@ -209,7 +210,7 @@ |
209 | 210 |
|
210 |
/// \brief Move an item down into the proper box. |
|
211 |
void bubble_down(int index) { |
|
212 |
|
|
211 |
// Move an item down into the proper box |
|
212 |
void bubbleDown(int index) { |
|
213 |
if (!upper(_data[index].box, _data[index].prio)) return; |
|
213 | 214 |
remove(index); |
214 |
int box = findDown( |
|
215 |
int box = findDown(_data[index].box, _data[index].prio); |
|
215 | 216 |
insert(box, index); |
... | ... |
@@ -217,6 +218,6 @@ |
217 | 218 |
|
218 |
// |
|
219 |
// Find down the proper box for the item with the given priority |
|
219 | 220 |
int findDown(int start, int pr) { |
220 | 221 |
while (upper(start, pr)) { |
221 |
if (--start < 0) throw |
|
222 |
if (--start < 0) throw PriorityUnderflowError(); |
|
222 | 223 |
} |
... | ... |
@@ -225,6 +226,6 @@ |
225 | 226 |
|
226 |
// |
|
227 |
// Find the first non-empty box |
|
227 | 228 |
int findFirst() { |
228 | 229 |
int first = 0; |
229 |
while ( |
|
230 |
while (_boxes[first].first == -1) ++first; |
|
230 | 231 |
return first; |
... | ... |
@@ -232,7 +233,7 @@ |
232 | 233 |
|
233 |
// |
|
234 |
// Gives back the minimum priority of the given box |
|
234 | 235 |
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 |
|
|
236 |
int min = _data[_boxes[box].first].prio; |
|
237 |
for (int k = _boxes[box].first; k != -1; k = _data[k].next) { |
|
238 |
if (_data[k].prio < min) min = _data[k].prio; |
|
238 | 239 |
} |
... | ... |
@@ -241,4 +242,3 @@ |
241 | 242 |
|
242 |
/// \brief Rearrange the items of the heap and makes the |
|
243 |
/// first box not empty. |
|
243 |
// Rearrange the items of the heap and make the first box non-empty |
|
244 | 244 |
void moveDown() { |
... | ... |
@@ -248,9 +248,9 @@ |
248 | 248 |
for (int i = 0; i <= box; ++i) { |
249 |
boxes[i].min = min; |
|
250 |
min += boxes[i].size; |
|
249 |
_boxes[i].min = min; |
|
250 |
min += _boxes[i].size; |
|
251 | 251 |
} |
252 |
int curr = |
|
252 |
int curr = _boxes[box].first, next; |
|
253 | 253 |
while (curr != -1) { |
254 |
next = data[curr].next; |
|
255 |
bubble_down(curr); |
|
254 |
next = _data[curr].next; |
|
255 |
bubbleDown(curr); |
|
256 | 256 |
curr = next; |
... | ... |
@@ -259,16 +259,16 @@ |
259 | 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 |
|
|
260 |
void relocateLast(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 | 265 |
} else { |
266 |
|
|
266 |
_boxes[_data[index].box].first = index; |
|
267 | 267 |
} |
268 |
if (data[index].next != -1) { |
|
269 |
data[data[index].next].prev = index; |
|
268 |
if (_data[index].next != -1) { |
|
269 |
_data[_data[index].next].prev = index; |
|
270 | 270 |
} |
271 |
_iim[ |
|
271 |
_iim[_data[index].item] = index; |
|
272 | 272 |
} |
273 |
|
|
273 |
_data.pop_back(); |
|
274 | 274 |
} |
... | ... |
@@ -279,13 +279,16 @@ |
279 | 279 |
/// |
280 |
/// |
|
280 |
/// This function inserts the given item into the heap with the |
|
281 |
/// given priority. |
|
281 | 282 |
/// \param i The item to insert. |
282 | 283 |
/// \param p The priority of the item. |
284 |
/// \pre \e i must not be stored in the heap. |
|
285 |
/// \warning This method may throw an \c UnderFlowPriorityException. |
|
283 | 286 |
void push(const Item &i, const Prio &p) { |
284 |
int n = |
|
287 |
int n = _data.size(); |
|
285 | 288 |
_iim.set(i, n); |
286 |
data.push_back(RadixItem(i, p)); |
|
287 |
while (lower(boxes.size() - 1, p)) { |
|
289 |
_data.push_back(RadixItem(i, p)); |
|
290 |
while (lower(_boxes.size() - 1, p)) { |
|
288 | 291 |
extend(); |
289 | 292 |
} |
290 |
int box = findDown( |
|
293 |
int box = findDown(_boxes.size() - 1, p); |
|
291 | 294 |
insert(box, n); |
... | ... |
@@ -293,23 +296,23 @@ |
293 | 296 |
|
294 |
/// \brief |
|
297 |
/// \brief Return the item having minimum priority. |
|
295 | 298 |
/// |
296 |
/// This method returns the item with minimum priority. |
|
297 |
/// \pre The heap must be nonempty. |
|
299 |
/// This function returns the item having minimum priority. |
|
300 |
/// \pre The heap must be non-empty. |
|
298 | 301 |
Item top() const { |
299 | 302 |
const_cast<RadixHeap<ItemIntMap>&>(*this).moveDown(); |
300 |
return |
|
303 |
return _data[_boxes[0].first].item; |
|
301 | 304 |
} |
302 | 305 |
|
303 |
/// \brief |
|
306 |
/// \brief The minimum priority. |
|
304 | 307 |
/// |
305 |
/// It returns the minimum priority. |
|
306 |
/// \pre The heap must be nonempty. |
|
308 |
/// This function returns the minimum priority. |
|
309 |
/// \pre The heap must be non-empty. |
|
307 | 310 |
Prio prio() const { |
308 | 311 |
const_cast<RadixHeap<ItemIntMap>&>(*this).moveDown(); |
309 |
return |
|
312 |
return _data[_boxes[0].first].prio; |
|
310 | 313 |
} |
311 | 314 |
|
312 |
/// \brief |
|
315 |
/// \brief Remove the item having minimum priority. |
|
313 | 316 |
/// |
314 |
/// This |
|
317 |
/// This function removes the item having minimum priority. |
|
315 | 318 |
/// \pre The heap must be non-empty. |
... | ... |
@@ -317,13 +320,14 @@ |
317 | 320 |
moveDown(); |
318 |
int index = boxes[0].first; |
|
319 |
_iim[data[index].item] = POST_HEAP; |
|
321 |
int index = _boxes[0].first; |
|
322 |
_iim[_data[index].item] = POST_HEAP; |
|
320 | 323 |
remove(index); |
321 |
|
|
324 |
relocateLast(index); |
|
322 | 325 |
} |
323 | 326 |
|
324 |
/// \brief |
|
327 |
/// \brief Remove the given item from the heap. |
|
325 | 328 |
/// |
326 |
/// This method deletes item \c i from the heap, if \c i was |
|
327 |
/// already stored in the heap. |
|
328 |
/// |
|
329 |
/// This function removes the given item from the heap if it is |
|
330 |
/// already stored. |
|
331 |
/// \param i The item to delete. |
|
332 |
/// \pre \e i must be in the heap. |
|
329 | 333 |
void erase(const Item &i) { |
... | ... |
@@ -332,23 +336,25 @@ |
332 | 336 |
remove(index); |
333 |
|
|
337 |
relocateLast(index); |
|
334 | 338 |
} |
335 | 339 |
|
336 |
/// \brief |
|
340 |
/// \brief The priority of the given item. |
|
337 | 341 |
/// |
338 |
/// This function returns the priority of item \c i. |
|
339 |
/// \pre \c i must be in the heap. |
|
342 |
/// This function returns the priority of the given item. |
|
340 | 343 |
/// \param i The item. |
344 |
/// \pre \e i must be in the heap. |
|
341 | 345 |
Prio operator[](const Item &i) const { |
342 | 346 |
int idx = _iim[i]; |
343 |
return |
|
347 |
return _data[idx].prio; |
|
344 | 348 |
} |
345 | 349 |
|
346 |
/// \brief \c i gets to the heap with priority \c p independently |
|
347 |
/// if \c i was already there. |
|
350 |
/// \brief Set the priority of an item or insert it, if it is |
|
351 |
/// not stored in the heap. |
|
348 | 352 |
/// |
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 |
/// |
|
353 |
/// This method sets the priority of the given item if it is |
|
354 |
/// already stored in the heap. Otherwise it inserts the given |
|
355 |
/// item into the heap with the given priority. |
|
352 | 356 |
/// \param i The item. |
353 | 357 |
/// \param p The priority. |
358 |
/// \pre \e i must be in the heap. |
|
359 |
/// \warning This method may throw an \c UnderFlowPriorityException. |
|
354 | 360 |
void set(const Item &i, const Prio &p) { |
... | ... |
@@ -358,8 +364,8 @@ |
358 | 364 |
} |
359 |
else if( p >= data[idx].prio ) { |
|
360 |
data[idx].prio = p; |
|
361 |
|
|
365 |
else if( p >= _data[idx].prio ) { |
|
366 |
_data[idx].prio = p; |
|
367 |
bubbleUp(idx); |
|
362 | 368 |
} else { |
363 |
data[idx].prio = p; |
|
364 |
bubble_down(idx); |
|
369 |
_data[idx].prio = p; |
|
370 |
bubbleDown(idx); |
|
365 | 371 |
} |
... | ... |
@@ -367,35 +373,34 @@ |
367 | 373 |
|
368 |
|
|
369 |
/// \brief Decreases the priority of \c i to \c p. |
|
374 |
/// \brief Decrease the priority of an item to the given value. |
|
370 | 375 |
/// |
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 |
/// |
|
376 |
/// This function decreases the priority of an item to the given value. |
|
374 | 377 |
/// \param i The item. |
375 | 378 |
/// \param p The priority. |
379 |
/// \pre \e i must be stored in the heap with priority at least \e p. |
|
380 |
/// \warning This method may throw an \c UnderFlowPriorityException. |
|
376 | 381 |
void decrease(const Item &i, const Prio &p) { |
377 | 382 |
int idx = _iim[i]; |
378 |
data[idx].prio = p; |
|
379 |
bubble_down(idx); |
|
383 |
_data[idx].prio = p; |
|
384 |
bubbleDown(idx); |
|
380 | 385 |
} |
381 | 386 |
|
382 |
/// \brief |
|
387 |
/// \brief Increase the priority of an item to the given value. |
|
383 | 388 |
/// |
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 |
|
389 |
/// This function increases the priority of an item to the given value. |
|
386 | 390 |
/// \param i The item. |
387 | 391 |
/// \param p The priority. |
392 |
/// \pre \e i must be stored in the heap with priority at most \e p. |
|
388 | 393 |
void increase(const Item &i, const Prio &p) { |
389 | 394 |
int idx = _iim[i]; |
390 |
data[idx].prio = p; |
|
391 |
bubble_up(idx); |
|
395 |
_data[idx].prio = p; |
|
396 |
bubbleUp(idx); |
|
392 | 397 |
} |
393 | 398 |
|
394 |
/// \brief Returns if \c item is in, has already been in, or has |
|
395 |
/// never been in the heap. |
|
399 |
/// \brief Return the state of an item. |
|
396 | 400 |
/// |
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 |
/// This method returns \c PRE_HEAP if the given item has never |
|
402 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
|
403 |
/// and \c POST_HEAP otherwise. |
|
404 |
/// In the latter case it is possible that the item will get back |
|
405 |
/// to the heap again. |
|
401 | 406 |
/// \param i The item. |
... | ... |
@@ -407,7 +412,7 @@ |
407 | 412 |
|
408 |
/// \brief |
|
413 |
/// \brief Set the state of an item in the heap. |
|
409 | 414 |
/// |
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 |
/// |
|
415 |
/// This function sets the state of the given item in the heap. |
|
416 |
/// It can be used to manually clear the heap when it is important |
|
417 |
/// to achive better time complexity. |
|
413 | 418 |
/// \param i The item. |
... | ... |
@@ -27,3 +27,2 @@ |
27 | 27 |
#include <lemon/smart_graph.h> |
28 |
|
|
29 | 28 |
#include <lemon/lgf_reader.h> |
... | ... |
@@ -33,4 +32,8 @@ |
33 | 32 |
#include <lemon/bin_heap.h> |
33 |
#include <lemon/fourary_heap.h> |
|
34 |
#include <lemon/kary_heap.h> |
|
34 | 35 |
#include <lemon/fib_heap.h> |
36 |
#include <lemon/pairing_heap.h> |
|
35 | 37 |
#include <lemon/radix_heap.h> |
38 |
#include <lemon/binom_heap.h> |
|
36 | 39 |
#include <lemon/bucket_heap.h> |
... | ... |
@@ -91,3 +94,2 @@ |
91 | 94 |
RangeMap<int> map(test_len, -1); |
92 |
|
|
93 | 95 |
Heap heap(map); |
... | ... |
@@ -95,3 +97,2 @@ |
95 | 97 |
std::vector<int> v(test_len); |
96 |
|
|
97 | 98 |
for (int i = 0; i < test_len; ++i) { |
... | ... |
@@ -114,3 +115,2 @@ |
114 | 115 |
std::vector<int> v(test_len); |
115 |
|
|
116 | 116 |
for (int i = 0; i < test_len; ++i) { |
... | ... |
@@ -130,4 +130,2 @@ |
130 | 130 |
|
131 |
|
|
132 |
|
|
133 | 131 |
template <typename Heap> |
... | ... |
@@ -146,3 +144,3 @@ |
146 | 144 |
check( dijkstra.dist(t) - dijkstra.dist(s) <= length[a], |
147 |
"Error in |
|
145 |
"Error in shortest path tree."); |
|
148 | 146 |
} |
... | ... |
@@ -155,3 +153,3 @@ |
155 | 153 |
check( dijkstra.dist(n) - dijkstra.dist(s) == length[a], |
156 |
"Error in |
|
154 |
"Error in shortest path tree."); |
|
157 | 155 |
} |
... | ... |
@@ -177,2 +175,3 @@ |
177 | 175 |
|
176 |
// BinHeap |
|
178 | 177 |
{ |
... | ... |
@@ -188,2 +187,27 @@ |
188 | 187 |
|
188 |
// FouraryHeap |
|
189 |
{ |
|
190 |
typedef FouraryHeap<Prio, ItemIntMap> IntHeap; |
|
191 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
|
192 |
heapSortTest<IntHeap>(); |
|
193 |
heapIncreaseTest<IntHeap>(); |
|
194 |
|
|
195 |
typedef FouraryHeap<Prio, IntNodeMap > NodeHeap; |
|
196 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
|
197 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
|
198 |
} |
|
199 |
|
|
200 |
// KaryHeap |
|
201 |
{ |
|
202 |
typedef KaryHeap<Prio, ItemIntMap> IntHeap; |
|
203 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
|
204 |
heapSortTest<IntHeap>(); |
|
205 |
heapIncreaseTest<IntHeap>(); |
|
206 |
|
|
207 |
typedef KaryHeap<Prio, IntNodeMap > NodeHeap; |
|
208 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
|
209 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
|
210 |
} |
|
211 |
|
|
212 |
// FibHeap |
|
189 | 213 |
{ |
... | ... |
@@ -199,2 +223,15 @@ |
199 | 223 |
|
224 |
// PairingHeap |
|
225 |
{ |
|
226 |
typedef PairingHeap<Prio, ItemIntMap> IntHeap; |
|
227 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
|
228 |
heapSortTest<IntHeap>(); |
|
229 |
heapIncreaseTest<IntHeap>(); |
|
230 |
|
|
231 |
typedef PairingHeap<Prio, IntNodeMap > NodeHeap; |
|
232 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
|
233 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
|
234 |
} |
|
235 |
|
|
236 |
// RadixHeap |
|
200 | 237 |
{ |
... | ... |
@@ -210,2 +247,15 @@ |
210 | 247 |
|
248 |
// BinomHeap |
|
249 |
{ |
|
250 |
typedef BinomHeap<Prio, ItemIntMap> IntHeap; |
|
251 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
|
252 |
heapSortTest<IntHeap>(); |
|
253 |
heapIncreaseTest<IntHeap>(); |
|
254 |
|
|
255 |
typedef BinomHeap<Prio, IntNodeMap > NodeHeap; |
|
256 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
|
257 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
|
258 |
} |
|
259 |
|
|
260 |
// BucketHeap, SimpleBucketHeap |
|
211 | 261 |
{ |
... | ... |
@@ -219,5 +269,7 @@ |
219 | 269 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
270 |
|
|
271 |
typedef SimpleBucketHeap<ItemIntMap> SimpleIntHeap; |
|
272 |
heapSortTest<SimpleIntHeap>(); |
|
220 | 273 |
} |
221 | 274 |
|
222 |
|
|
223 | 275 |
return 0; |
... | ... |
@@ -581,2 +581,36 @@ |
581 | 581 |
|
582 |
// CrossRefMap |
|
583 |
{ |
|
584 |
typedef SmartDigraph Graph; |
|
585 |
DIGRAPH_TYPEDEFS(Graph); |
|
586 |
|
|
587 |
checkConcept<ReadWriteMap<Node, int>, |
|
588 |
CrossRefMap<Graph, Node, int> >(); |
|
589 |
|
|
590 |
Graph gr; |
|
591 |
typedef CrossRefMap<Graph, Node, char> CRMap; |
|
592 |
typedef CRMap::ValueIterator ValueIt; |
|
593 |
CRMap map(gr); |
|
594 |
|
|
595 |
Node n0 = gr.addNode(); |
|
596 |
Node n1 = gr.addNode(); |
|
597 |
Node n2 = gr.addNode(); |
|
598 |
|
|
599 |
map.set(n0, 'A'); |
|
600 |
map.set(n1, 'B'); |
|
601 |
map.set(n2, 'C'); |
|
602 |
map.set(n2, 'A'); |
|
603 |
map.set(n0, 'C'); |
|
604 |
|
|
605 |
check(map[n0] == 'C' && map[n1] == 'B' && map[n2] == 'A', |
|
606 |
"Wrong CrossRefMap"); |
|
607 |
check(map('A') == n2 && map.inverse()['A'] == n2, "Wrong CrossRefMap"); |
|
608 |
check(map('B') == n1 && map.inverse()['B'] == n1, "Wrong CrossRefMap"); |
|
609 |
check(map('C') == n0 && map.inverse()['C'] == n0, "Wrong CrossRefMap"); |
|
610 |
|
|
611 |
ValueIt it = map.beginValue(); |
|
612 |
check(*it++ == 'A' && *it++ == 'B' && *it++ == 'C' && |
|
613 |
it == map.endValue(), "Wrong value iterator"); |
|
614 |
} |
|
615 |
|
|
582 | 616 |
// Iterable bool map |
... | ... |
@@ -37,6 +37,6 @@ |
37 | 37 |
-e "s/\<edge\>/_ar_c_label_/g"\ |
38 |
-e "s/_edge\>/ |
|
38 |
-e "s/_edge\>/__ar_c_label_/g"\ |
|
39 | 39 |
-e "s/Edges\>/_Ar_c_label_s/g"\ |
40 | 40 |
-e "s/\<edges\>/_ar_c_label_s/g"\ |
41 |
-e "s/_edges\>/ |
|
41 |
-e "s/_edges\>/__ar_c_label_s/g"\ |
|
42 | 42 |
-e "s/\([Ee]\)dge\([a-z]\)/_\1d_ge_label_\2/g"\ |
... | ... |
@@ -70,2 +70,7 @@ |
70 | 70 |
-e "s/_DIGR_APH_TY_PEDE_FS_label_/DIGRAPH_TYPEDEFS/g"\ |
71 |
-e "s/\<digraph_adaptor\.h\>/adaptors.h/g"\ |
|
72 |
-e "s/\<digraph_utils\.h\>/core.h/g"\ |
|
73 |
-e "s/\<digraph_reader\.h\>/lgf_reader.h/g"\ |
|
74 |
-e "s/\<digraph_writer\.h\>/lgf_writer.h/g"\ |
|
75 |
-e "s/\<topology\.h\>/connectivity.h/g"\ |
|
71 | 76 |
-e "s/DigraphToEps/GraphToEps/g"\ |
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