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| 1 | 
		/* -*- C++ -*-  | 
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| 2 | 
		*  | 
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| 3 | 
		* This file is a part of LEMON, a generic C++ optimization library  | 
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| 4 | 
		*  | 
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| 5 | 
		* Copyright (C) 2003-2008  | 
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| 6 | 
		* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport  | 
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| 7 | 
		* (Egervary Research Group on Combinatorial Optimization, EGRES).  | 
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| 8 | 
		*  | 
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| 9 | 
		* Permission to use, modify and distribute this software is granted  | 
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| 10 | 
		* provided that this copyright notice appears in all copies. For  | 
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| 11 | 
		* precise terms see the accompanying LICENSE file.  | 
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| 12 | 
		*  | 
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| 13 | 
		* This software is provided "AS IS" with no warranty of any kind,  | 
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| 14 | 
		* express or implied, and with no claim as to its suitability for any  | 
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| 15 | 
		* purpose.  | 
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| 16 | 
		*  | 
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| 17 | 
		*/  | 
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| 18 | 
		 | 
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| 19 | 
		#ifndef LEMON_BELLMAN_FORD_H  | 
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| 20 | 
		#define LEMON_BELLMAN_FORD_H  | 
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| 21 | 
		 | 
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| 22 | 
		/// \ingroup shortest_path  | 
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| 23 | 
		/// \file  | 
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| 24 | 
		/// \brief Bellman-Ford algorithm.  | 
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| 25 | 
		 | 
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| 26 | 
		#include <lemon/bits/path_dump.h>  | 
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| 27 | 
		#include <lemon/core.h>  | 
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| 28 | 
		#include <lemon/error.h>  | 
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| 29 | 
		#include <lemon/maps.h>  | 
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| 30 | 
		#include <lemon/path.h>  | 
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| 31 | 
		 | 
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| 32 | 
		#include <limits>  | 
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| 33 | 
		 | 
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| 34 | 
		namespace lemon {
	 | 
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| 35 | 
		 | 
|
| 36 | 
		/// \brief Default OperationTraits for the BellmanFord algorithm class.  | 
|
| 37 | 
		///  | 
|
| 38 | 
		/// This operation traits class defines all computational operations  | 
|
| 39 | 
		/// and constants that are used in the Bellman-Ford algorithm.  | 
|
| 40 | 
		/// The default implementation is based on the \c numeric_limits class.  | 
|
| 41 | 
		/// If the numeric type does not have infinity value, then the maximum  | 
|
| 42 | 
		/// value is used as extremal infinity value.  | 
|
| 43 | 
		template <  | 
|
| 44 | 
		typename V,  | 
|
| 45 | 
		bool has_inf = std::numeric_limits<V>::has_infinity>  | 
|
| 46 | 
		  struct BellmanFordDefaultOperationTraits {
	 | 
|
| 47 | 
		/// \e  | 
|
| 48 | 
		typedef V Value;  | 
|
| 49 | 
		/// \brief Gives back the zero value of the type.  | 
|
| 50 | 
		    static Value zero() {
	 | 
|
| 51 | 
		return static_cast<Value>(0);  | 
|
| 52 | 
		}  | 
|
| 53 | 
		/// \brief Gives back the positive infinity value of the type.  | 
|
| 54 | 
		    static Value infinity() {
	 | 
|
| 55 | 
		return std::numeric_limits<Value>::infinity();  | 
|
| 56 | 
		}  | 
|
| 57 | 
		/// \brief Gives back the sum of the given two elements.  | 
|
| 58 | 
		    static Value plus(const Value& left, const Value& right) {
	 | 
|
| 59 | 
		return left + right;  | 
|
| 60 | 
		}  | 
|
| 61 | 
		/// \brief Gives back \c true only if the first value is less than  | 
|
| 62 | 
		/// the second.  | 
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| 63 | 
		    static bool less(const Value& left, const Value& right) {
	 | 
|
| 64 | 
		return left < right;  | 
|
| 65 | 
		}  | 
|
| 66 | 
		};  | 
|
| 67 | 
		 | 
|
| 68 | 
		template <typename V>  | 
|
| 69 | 
		  struct BellmanFordDefaultOperationTraits<V, false> {
	 | 
|
| 70 | 
		typedef V Value;  | 
|
| 71 | 
		    static Value zero() {
	 | 
|
| 72 | 
		return static_cast<Value>(0);  | 
|
| 73 | 
		}  | 
|
| 74 | 
		    static Value infinity() {
	 | 
|
| 75 | 
		return std::numeric_limits<Value>::max();  | 
|
| 76 | 
		}  | 
|
| 77 | 
		    static Value plus(const Value& left, const Value& right) {
	 | 
|
| 78 | 
		if (left == infinity() || right == infinity()) return infinity();  | 
|
| 79 | 
		return left + right;  | 
|
| 80 | 
		}  | 
|
| 81 | 
		    static bool less(const Value& left, const Value& right) {
	 | 
|
| 82 | 
		return left < right;  | 
|
| 83 | 
		}  | 
|
| 84 | 
		};  | 
|
| 85 | 
		 | 
|
| 86 | 
		/// \brief Default traits class of BellmanFord class.  | 
|
| 87 | 
		///  | 
|
| 88 | 
		/// Default traits class of BellmanFord class.  | 
|
| 89 | 
		/// \param GR The type of the digraph.  | 
|
| 90 | 
		/// \param LEN The type of the length map.  | 
|
| 91 | 
		template<typename GR, typename LEN>  | 
|
| 92 | 
		  struct BellmanFordDefaultTraits {
	 | 
|
| 93 | 
		/// The type of the digraph the algorithm runs on.  | 
|
| 94 | 
		typedef GR Digraph;  | 
|
| 95 | 
		 | 
|
| 96 | 
		/// \brief The type of the map that stores the arc lengths.  | 
|
| 97 | 
		///  | 
|
| 98 | 
		/// The type of the map that stores the arc lengths.  | 
|
| 99 | 
		/// It must conform to the \ref concepts::ReadMap "ReadMap" concept.  | 
|
| 100 | 
		typedef LEN LengthMap;  | 
|
| 101 | 
		 | 
|
| 102 | 
		/// The type of the arc lengths.  | 
|
| 103 | 
		typedef typename LEN::Value Value;  | 
|
| 104 | 
		 | 
|
| 105 | 
		/// \brief Operation traits for Bellman-Ford algorithm.  | 
|
| 106 | 
		///  | 
|
| 107 | 
		/// It defines the used operations and the infinity value for the  | 
|
| 108 | 
		/// given \c Value type.  | 
|
| 109 | 
		/// \see BellmanFordDefaultOperationTraits  | 
|
| 110 | 
		typedef BellmanFordDefaultOperationTraits<Value> OperationTraits;  | 
|
| 111 | 
		 | 
|
| 112 | 
		/// \brief The type of the map that stores the last arcs of the  | 
|
| 113 | 
		/// shortest paths.  | 
|
| 114 | 
		///  | 
|
| 115 | 
		/// The type of the map that stores the last  | 
|
| 116 | 
		/// arcs of the shortest paths.  | 
|
| 117 | 
		/// It must conform to the \ref concepts::WriteMap "WriteMap" concept.  | 
|
| 118 | 
		typedef typename GR::template NodeMap<typename GR::Arc> PredMap;  | 
|
| 119 | 
		 | 
|
| 120 | 
		/// \brief Instantiates a \c PredMap.  | 
|
| 121 | 
		///  | 
|
| 122 | 
		/// This function instantiates a \ref PredMap.  | 
|
| 123 | 
		/// \param g is the digraph to which we would like to define the  | 
|
| 124 | 
		/// \ref PredMap.  | 
|
| 125 | 
		    static PredMap *createPredMap(const GR& g) {
	 | 
|
| 126 | 
		return new PredMap(g);  | 
|
| 127 | 
		}  | 
|
| 128 | 
		 | 
|
| 129 | 
		/// \brief The type of the map that stores the distances of the nodes.  | 
|
| 130 | 
		///  | 
|
| 131 | 
		/// The type of the map that stores the distances of the nodes.  | 
|
| 132 | 
		/// It must conform to the \ref concepts::WriteMap "WriteMap" concept.  | 
|
| 133 | 
		typedef typename GR::template NodeMap<typename LEN::Value> DistMap;  | 
|
| 134 | 
		 | 
|
| 135 | 
		/// \brief Instantiates a \c DistMap.  | 
|
| 136 | 
		///  | 
|
| 137 | 
		/// This function instantiates a \ref DistMap.  | 
|
| 138 | 
		/// \param g is the digraph to which we would like to define the  | 
|
| 139 | 
		/// \ref DistMap.  | 
|
| 140 | 
		    static DistMap *createDistMap(const GR& g) {
	 | 
|
| 141 | 
		return new DistMap(g);  | 
|
| 142 | 
		}  | 
|
| 143 | 
		 | 
|
| 144 | 
		};  | 
|
| 145 | 
		 | 
|
| 146 | 
		/// \brief %BellmanFord algorithm class.  | 
|
| 147 | 
		///  | 
|
| 148 | 
		/// \ingroup shortest_path  | 
|
| 149 | 
		/// This class provides an efficient implementation of the Bellman-Ford  | 
|
| 150 | 
		/// algorithm. The maximum time complexity of the algorithm is  | 
|
| 151 | 
		/// <tt>O(ne)</tt>.  | 
|
| 152 | 
		///  | 
|
| 153 | 
		/// The Bellman-Ford algorithm solves the single-source shortest path  | 
|
| 154 | 
		/// problem when the arcs can have negative lengths, but the digraph  | 
|
| 155 | 
		/// should not contain directed cycles with negative total length.  | 
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| 156 | 
		/// If all arc costs are non-negative, consider to use the Dijkstra  | 
|
| 157 | 
		/// algorithm instead, since it is more efficient.  | 
|
| 158 | 
		///  | 
|
| 159 | 
		/// The arc lengths are passed to the algorithm using a  | 
|
| 160 | 
		/// \ref concepts::ReadMap "ReadMap", so it is easy to change it to any  | 
|
| 161 | 
		/// kind of length. The type of the length values is determined by the  | 
|
| 162 | 
		/// \ref concepts::ReadMap::Value "Value" type of the length map.  | 
|
| 163 | 
		///  | 
|
| 164 | 
		/// There is also a \ref bellmanFord() "function-type interface" for the  | 
|
| 165 | 
		/// Bellman-Ford algorithm, which is convenient in the simplier cases and  | 
|
| 166 | 
		/// it can be used easier.  | 
|
| 167 | 
		///  | 
|
| 168 | 
		/// \tparam GR The type of the digraph the algorithm runs on.  | 
|
| 169 | 
		/// The default type is \ref ListDigraph.  | 
|
| 170 | 
		/// \tparam LEN A \ref concepts::ReadMap "readable" arc map that specifies  | 
|
| 171 | 
		/// the lengths of the arcs. The default map type is  | 
|
| 172 | 
		/// \ref concepts::Digraph::ArcMap "GR::ArcMap<int>".  | 
|
| 173 | 
		#ifdef DOXYGEN  | 
|
| 174 | 
		template <typename GR, typename LEN, typename TR>  | 
|
| 175 | 
		#else  | 
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| 176 | 
		template <typename GR=ListDigraph,  | 
|
| 177 | 
		typename LEN=typename GR::template ArcMap<int>,  | 
|
| 178 | 
		typename TR=BellmanFordDefaultTraits<GR,LEN> >  | 
|
| 179 | 
		#endif  | 
|
| 180 | 
		  class BellmanFord {
	 | 
|
| 181 | 
		public:  | 
|
| 182 | 
		 | 
|
| 183 | 
		///The type of the underlying digraph.  | 
|
| 184 | 
		typedef typename TR::Digraph Digraph;  | 
|
| 185 | 
		 | 
|
| 186 | 
		/// \brief The type of the arc lengths.  | 
|
| 187 | 
		typedef typename TR::LengthMap::Value Value;  | 
|
| 188 | 
		/// \brief The type of the map that stores the arc lengths.  | 
|
| 189 | 
		typedef typename TR::LengthMap LengthMap;  | 
|
| 190 | 
		/// \brief The type of the map that stores the last  | 
|
| 191 | 
		/// arcs of the shortest paths.  | 
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| 192 | 
		typedef typename TR::PredMap PredMap;  | 
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| 193 | 
		/// \brief The type of the map that stores the distances of the nodes.  | 
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| 194 | 
		typedef typename TR::DistMap DistMap;  | 
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| 195 | 
		/// The type of the paths.  | 
|
| 196 | 
		typedef PredMapPath<Digraph, PredMap> Path;  | 
|
| 197 | 
		///\brief The \ref BellmanFordDefaultOperationTraits  | 
|
| 198 | 
		/// "operation traits class" of the algorithm.  | 
|
| 199 | 
		typedef typename TR::OperationTraits OperationTraits;  | 
|
| 200 | 
		 | 
|
| 201 | 
		///The \ref BellmanFordDefaultTraits "traits class" of the algorithm.  | 
|
| 202 | 
		typedef TR Traits;  | 
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| 203 | 
		 | 
|
| 204 | 
		private:  | 
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| 205 | 
		 | 
|
| 206 | 
		typedef typename Digraph::Node Node;  | 
|
| 207 | 
		typedef typename Digraph::NodeIt NodeIt;  | 
|
| 208 | 
		typedef typename Digraph::Arc Arc;  | 
|
| 209 | 
		typedef typename Digraph::OutArcIt OutArcIt;  | 
|
| 210 | 
		 | 
|
| 211 | 
		// Pointer to the underlying digraph.  | 
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| 212 | 
		const Digraph *_gr;  | 
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| 213 | 
		// Pointer to the length map  | 
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| 214 | 
		const LengthMap *_length;  | 
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| 215 | 
		// Pointer to the map of predecessors arcs.  | 
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| 216 | 
		PredMap *_pred;  | 
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| 217 | 
		// Indicates if _pred is locally allocated (true) or not.  | 
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| 218 | 
		bool _local_pred;  | 
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| 219 | 
		// Pointer to the map of distances.  | 
|
| 220 | 
		DistMap *_dist;  | 
|
| 221 | 
		// Indicates if _dist is locally allocated (true) or not.  | 
|
| 222 | 
		bool _local_dist;  | 
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| 223 | 
		 | 
|
| 224 | 
		typedef typename Digraph::template NodeMap<bool> MaskMap;  | 
|
| 225 | 
		MaskMap *_mask;  | 
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| 226 | 
		 | 
|
| 227 | 
		std::vector<Node> _process;  | 
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| 228 | 
		 | 
|
| 229 | 
		// Creates the maps if necessary.  | 
|
| 230 | 
		    void create_maps() {
	 | 
|
| 231 | 
		      if(!_pred) {
	 | 
|
| 232 | 
		_local_pred = true;  | 
|
| 233 | 
		_pred = Traits::createPredMap(*_gr);  | 
|
| 234 | 
		}  | 
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| 235 | 
		      if(!_dist) {
	 | 
|
| 236 | 
		_local_dist = true;  | 
|
| 237 | 
		_dist = Traits::createDistMap(*_gr);  | 
|
| 238 | 
		}  | 
|
| 239 | 
		_mask = new MaskMap(*_gr, false);  | 
|
| 240 | 
		}  | 
|
| 241 | 
		 | 
|
| 242 | 
		public :  | 
|
| 243 | 
		 | 
|
| 244 | 
		typedef BellmanFord Create;  | 
|
| 245 | 
		 | 
|
| 246 | 
		/// \name Named Template Parameters  | 
|
| 247 | 
		 | 
|
| 248 | 
		    ///@{
	 | 
|
| 249 | 
		 | 
|
| 250 | 
		template <class T>  | 
|
| 251 | 
		    struct SetPredMapTraits : public Traits {
	 | 
|
| 252 | 
		typedef T PredMap;  | 
|
| 253 | 
		      static PredMap *createPredMap(const Digraph&) {
	 | 
|
| 254 | 
		LEMON_ASSERT(false, "PredMap is not initialized");  | 
|
| 255 | 
		return 0; // ignore warnings  | 
|
| 256 | 
		}  | 
|
| 257 | 
		};  | 
|
| 258 | 
		 | 
|
| 259 | 
		/// \brief \ref named-templ-param "Named parameter" for setting  | 
|
| 260 | 
		/// \c PredMap type.  | 
|
| 261 | 
		///  | 
|
| 262 | 
		/// \ref named-templ-param "Named parameter" for setting  | 
|
| 263 | 
		/// \c PredMap type.  | 
|
| 264 | 
		/// It must conform to the \ref concepts::WriteMap "WriteMap" concept.  | 
|
| 265 | 
		template <class T>  | 
|
| 266 | 
		struct SetPredMap  | 
|
| 267 | 
		      : public BellmanFord< Digraph, LengthMap, SetPredMapTraits<T> > {
	 | 
|
| 268 | 
		typedef BellmanFord< Digraph, LengthMap, SetPredMapTraits<T> > Create;  | 
|
| 269 | 
		};  | 
|
| 270 | 
		 | 
|
| 271 | 
		template <class T>  | 
|
| 272 | 
		    struct SetDistMapTraits : public Traits {
	 | 
|
| 273 | 
		typedef T DistMap;  | 
|
| 274 | 
		      static DistMap *createDistMap(const Digraph&) {
	 | 
|
| 275 | 
		LEMON_ASSERT(false, "DistMap is not initialized");  | 
|
| 276 | 
		return 0; // ignore warnings  | 
|
| 277 | 
		}  | 
|
| 278 | 
		};  | 
|
| 279 | 
		 | 
|
| 280 | 
		/// \brief \ref named-templ-param "Named parameter" for setting  | 
|
| 281 | 
		/// \c DistMap type.  | 
|
| 282 | 
		///  | 
|
| 283 | 
		/// \ref named-templ-param "Named parameter" for setting  | 
|
| 284 | 
		/// \c DistMap type.  | 
|
| 285 | 
		/// It must conform to the \ref concepts::WriteMap "WriteMap" concept.  | 
|
| 286 | 
		template <class T>  | 
|
| 287 | 
		struct SetDistMap  | 
|
| 288 | 
		      : public BellmanFord< Digraph, LengthMap, SetDistMapTraits<T> > {
	 | 
|
| 289 | 
		typedef BellmanFord< Digraph, LengthMap, SetDistMapTraits<T> > Create;  | 
|
| 290 | 
		};  | 
|
| 291 | 
		 | 
|
| 292 | 
		template <class T>  | 
|
| 293 | 
		    struct SetOperationTraitsTraits : public Traits {
	 | 
|
| 294 | 
		typedef T OperationTraits;  | 
|
| 295 | 
		};  | 
|
| 296 | 
		 | 
|
| 297 | 
		/// \brief \ref named-templ-param "Named parameter" for setting  | 
|
| 298 | 
		/// \c OperationTraits type.  | 
|
| 299 | 
		///  | 
|
| 300 | 
		/// \ref named-templ-param "Named parameter" for setting  | 
|
| 301 | 
		/// \c OperationTraits type.  | 
|
| 302 | 
		/// For more information see \ref BellmanFordDefaultOperationTraits.  | 
|
| 303 | 
		template <class T>  | 
|
| 304 | 
		struct SetOperationTraits  | 
|
| 305 | 
		      : public BellmanFord< Digraph, LengthMap, SetOperationTraitsTraits<T> > {
	 | 
|
| 306 | 
		typedef BellmanFord< Digraph, LengthMap, SetOperationTraitsTraits<T> >  | 
|
| 307 | 
		Create;  | 
|
| 308 | 
		};  | 
|
| 309 | 
		 | 
|
| 310 | 
		///@}  | 
|
| 311 | 
		 | 
|
| 312 | 
		protected:  | 
|
| 313 | 
		 | 
|
| 314 | 
		    BellmanFord() {}
	 | 
|
| 315 | 
		 | 
|
| 316 | 
		public:  | 
|
| 317 | 
		 | 
|
| 318 | 
		/// \brief Constructor.  | 
|
| 319 | 
		///  | 
|
| 320 | 
		/// Constructor.  | 
|
| 321 | 
		/// \param g The digraph the algorithm runs on.  | 
|
| 322 | 
		/// \param length The length map used by the algorithm.  | 
|
| 323 | 
		BellmanFord(const Digraph& g, const LengthMap& length) :  | 
|
| 324 | 
		_gr(&g), _length(&length),  | 
|
| 325 | 
		_pred(0), _local_pred(false),  | 
|
| 326 | 
		      _dist(0), _local_dist(false), _mask(0) {}
	 | 
|
| 327 | 
		 | 
|
| 328 | 
		///Destructor.  | 
|
| 329 | 
		    ~BellmanFord() {
	 | 
|
| 330 | 
		if(_local_pred) delete _pred;  | 
|
| 331 | 
		if(_local_dist) delete _dist;  | 
|
| 332 | 
		if(_mask) delete _mask;  | 
|
| 333 | 
		}  | 
|
| 334 | 
		 | 
|
| 335 | 
		/// \brief Sets the length map.  | 
|
| 336 | 
		///  | 
|
| 337 | 
		/// Sets the length map.  | 
|
| 338 | 
		/// \return <tt>(*this)</tt>  | 
|
| 339 | 
		    BellmanFord &lengthMap(const LengthMap &map) {
	 | 
|
| 340 | 
		_length = ↦  | 
|
| 341 | 
		return *this;  | 
|
| 342 | 
		}  | 
|
| 343 | 
		 | 
|
| 344 | 
		/// \brief Sets the map that stores the predecessor arcs.  | 
|
| 345 | 
		///  | 
|
| 346 | 
		/// Sets the map that stores the predecessor arcs.  | 
|
| 347 | 
		/// If you don't use this function before calling \ref run()  | 
|
| 348 | 
		/// or \ref init(), an instance will be allocated automatically.  | 
|
| 349 | 
		/// The destructor deallocates this automatically allocated map,  | 
|
| 350 | 
		/// of course.  | 
|
| 351 | 
		/// \return <tt>(*this)</tt>  | 
|
| 352 | 
		    BellmanFord &predMap(PredMap &map) {
	 | 
|
| 353 | 
		      if(_local_pred) {
	 | 
|
| 354 | 
		delete _pred;  | 
|
| 355 | 
		_local_pred=false;  | 
|
| 356 | 
		}  | 
|
| 357 | 
		_pred = ↦  | 
|
| 358 | 
		return *this;  | 
|
| 359 | 
		}  | 
|
| 360 | 
		 | 
|
| 361 | 
		/// \brief Sets the map that stores the distances of the nodes.  | 
|
| 362 | 
		///  | 
|
| 363 | 
		/// Sets the map that stores the distances of the nodes calculated  | 
|
| 364 | 
		/// by the algorithm.  | 
|
| 365 | 
		/// If you don't use this function before calling \ref run()  | 
|
| 366 | 
		/// or \ref init(), an instance will be allocated automatically.  | 
|
| 367 | 
		/// The destructor deallocates this automatically allocated map,  | 
|
| 368 | 
		/// of course.  | 
|
| 369 | 
		/// \return <tt>(*this)</tt>  | 
|
| 370 | 
		    BellmanFord &distMap(DistMap &map) {
	 | 
|
| 371 | 
		      if(_local_dist) {
	 | 
|
| 372 | 
		delete _dist;  | 
|
| 373 | 
		_local_dist=false;  | 
|
| 374 | 
		}  | 
|
| 375 | 
		_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  | 
|
| 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_PAIRING_HEAP_H  | 
|
| 20 | 
		#define LEMON_PAIRING_HEAP_H  | 
|
| 21 | 
		 | 
|
| 22 | 
		///\file  | 
|
| 23 | 
		///\ingroup heaps  | 
|
| 24 | 
		///\brief Pairing heap implementation.  | 
|
| 25 | 
		 | 
|
| 26 | 
		#include <vector>  | 
|
| 27 | 
		#include <utility>  | 
|
| 28 | 
		#include <functional>  | 
|
| 29 | 
		#include <lemon/math.h>  | 
|
| 30 | 
		 | 
|
| 31 | 
		namespace lemon {
	 | 
|
| 32 | 
		 | 
|
| 33 | 
		/// \ingroup heaps  | 
|
| 34 | 
		///  | 
|
| 35 | 
		///\brief Pairing Heap.  | 
|
| 36 | 
		///  | 
|
| 37 | 
		/// This class implements the \e pairing \e heap data structure.  | 
|
| 38 | 
		/// It fully conforms to the \ref concepts::Heap "heap concept".  | 
|
| 39 | 
		///  | 
|
| 40 | 
		/// The methods \ref increase() and \ref erase() are not efficient  | 
|
| 41 | 
		/// in a pairing heap. In case of many calls of these operations,  | 
|
| 42 | 
		/// it is better to use other heap structure, e.g. \ref BinHeap  | 
|
| 43 | 
		/// "binary heap".  | 
|
| 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 CMP A functor class for comparing the priorities.  | 
|
| 49 | 
		/// The default is \c std::less<PR>.  | 
|
| 50 | 
		#ifdef DOXYGEN  | 
|
| 51 | 
		template <typename PR, typename IM, typename CMP>  | 
|
| 52 | 
		#else  | 
|
| 53 | 
		template <typename PR, typename IM, typename CMP = std::less<PR> >  | 
|
| 54 | 
		#endif  | 
|
| 55 | 
		  class PairingHeap {
	 | 
|
| 56 | 
		public:  | 
|
| 57 | 
		/// Type of the item-int map.  | 
|
| 58 | 
		typedef IM ItemIntMap;  | 
|
| 59 | 
		/// Type of the priorities.  | 
|
| 60 | 
		typedef PR Prio;  | 
|
| 61 | 
		/// Type of the items stored in the heap.  | 
|
| 62 | 
		typedef typename ItemIntMap::Key Item;  | 
|
| 63 | 
		/// Functor type for comparing the priorities.  | 
|
| 64 | 
		typedef CMP Compare;  | 
|
| 65 | 
		 | 
|
| 66 | 
		/// \brief Type to represent the states of the items.  | 
|
| 67 | 
		///  | 
|
| 68 | 
		/// Each item has a state associated to it. It can be "in heap",  | 
|
| 69 | 
		/// "pre-heap" or "post-heap". The latter two are indifferent from the  | 
|
| 70 | 
		/// heap's point of view, but may be useful to the user.  | 
|
| 71 | 
		///  | 
|
| 72 | 
		/// The item-int map must be initialized in such way that it assigns  | 
|
| 73 | 
		/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap.  | 
|
| 74 | 
		    enum State {
	 | 
|
| 75 | 
		IN_HEAP = 0, ///< = 0.  | 
|
| 76 | 
		PRE_HEAP = -1, ///< = -1.  | 
|
| 77 | 
		POST_HEAP = -2 ///< = -2.  | 
|
| 78 | 
		};  | 
|
| 79 | 
		 | 
|
| 80 | 
		private:  | 
|
| 81 | 
		class store;  | 
|
| 82 | 
		 | 
|
| 83 | 
		std::vector<store> _data;  | 
|
| 84 | 
		int _min;  | 
|
| 85 | 
		ItemIntMap &_iim;  | 
|
| 86 | 
		Compare _comp;  | 
|
| 87 | 
		int _num_items;  | 
|
| 88 | 
		 | 
|
| 89 | 
		public:  | 
|
| 90 | 
		/// \brief Constructor.  | 
|
| 91 | 
		///  | 
|
| 92 | 
		/// Constructor.  | 
|
| 93 | 
		/// \param map A map that assigns \c int values to the items.  | 
|
| 94 | 
		/// It is used internally to handle the cross references.  | 
|
| 95 | 
		/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.  | 
|
| 96 | 
		explicit PairingHeap(ItemIntMap &map)  | 
|
| 97 | 
		      : _min(0), _iim(map), _num_items(0) {}
	 | 
|
| 98 | 
		 | 
|
| 99 | 
		/// \brief Constructor.  | 
|
| 100 | 
		///  | 
|
| 101 | 
		/// Constructor.  | 
|
| 102 | 
		/// \param map A map that assigns \c int values to the items.  | 
|
| 103 | 
		/// It is used internally to handle the cross references.  | 
|
| 104 | 
		/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item.  | 
|
| 105 | 
		/// \param comp The function object used for comparing the priorities.  | 
|
| 106 | 
		PairingHeap(ItemIntMap &map, const Compare &comp)  | 
|
| 107 | 
		      : _min(0), _iim(map), _comp(comp), _num_items(0) {}
	 | 
|
| 108 | 
		 | 
|
| 109 | 
		/// \brief The number of items stored in the heap.  | 
|
| 110 | 
		///  | 
|
| 111 | 
		/// This function returns the number of items stored in the heap.  | 
|
| 112 | 
		    int size() const { return _num_items; }
	 | 
|
| 113 | 
		 | 
|
| 114 | 
		/// \brief Check if the heap is empty.  | 
|
| 115 | 
		///  | 
|
| 116 | 
		/// This function returns \c true if the heap is empty.  | 
|
| 117 | 
		    bool empty() const { return _num_items==0; }
	 | 
|
| 118 | 
		 | 
|
| 119 | 
		/// \brief Make the heap empty.  | 
|
| 120 | 
		///  | 
|
| 121 | 
		/// This functon makes the heap empty.  | 
|
| 122 | 
		/// It does not change the cross reference map. If you want to reuse  | 
|
| 123 | 
		/// a heap that is not surely empty, you should first clear it and  | 
|
| 124 | 
		/// then you should set the cross reference map to \c PRE_HEAP  | 
|
| 125 | 
		/// for each item.  | 
|
| 126 | 
		    void clear() {
	 | 
|
| 127 | 
		_data.clear();  | 
|
| 128 | 
		_min = 0;  | 
|
| 129 | 
		_num_items = 0;  | 
|
| 130 | 
		}  | 
|
| 131 | 
		 | 
|
| 132 | 
		/// \brief Set the priority of an item or insert it, if it is  | 
|
| 133 | 
		/// not stored in the heap.  | 
|
| 134 | 
		///  | 
|
| 135 | 
		/// This method sets the priority of the given item if it is  | 
|
| 136 | 
		/// already stored in the heap. Otherwise it inserts the given  | 
|
| 137 | 
		/// item into the heap with the given priority.  | 
|
| 138 | 
		/// \param item The item.  | 
|
| 139 | 
		/// \param value The priority.  | 
|
| 140 | 
		    void set (const Item& item, const Prio& value) {
	 | 
|
| 141 | 
		int i=_iim[item];  | 
|
| 142 | 
		      if ( i>=0 && _data[i].in ) {
	 | 
|
| 143 | 
		if ( _comp(value, _data[i].prio) ) decrease(item, value);  | 
|
| 144 | 
		if ( _comp(_data[i].prio, value) ) increase(item, value);  | 
|
| 145 | 
		} else push(item, value);  | 
|
| 146 | 
		}  | 
|
| 147 | 
		 | 
|
| 148 | 
		/// \brief Insert an item into the heap with the given priority.  | 
|
| 149 | 
		///  | 
|
| 150 | 
		/// This function inserts the given item into the heap with the  | 
|
| 151 | 
		/// given priority.  | 
|
| 152 | 
		/// \param item The item to insert.  | 
|
| 153 | 
		/// \param value The priority of the item.  | 
|
| 154 | 
		/// \pre \e item must not be stored in the heap.  | 
|
| 155 | 
		    void push (const Item& item, const Prio& value) {
	 | 
|
| 156 | 
		int i=_iim[item];  | 
|
| 157 | 
		      if( i<0 ) {
	 | 
|
| 158 | 
		int s=_data.size();  | 
|
| 159 | 
		_iim.set(item, s);  | 
|
| 160 | 
		store st;  | 
|
| 161 | 
		st.name=item;  | 
|
| 162 | 
		_data.push_back(st);  | 
|
| 163 | 
		i=s;  | 
|
| 164 | 
		      } else {
	 | 
|
| 165 | 
		_data[i].parent=_data[i].child=-1;  | 
|
| 166 | 
		_data[i].left_child=false;  | 
|
| 167 | 
		_data[i].degree=0;  | 
|
| 168 | 
		_data[i].in=true;  | 
|
| 169 | 
		}  | 
|
| 170 | 
		 | 
|
| 171 | 
		_data[i].prio=value;  | 
|
| 172 | 
		 | 
|
| 173 | 
		      if ( _num_items!=0 ) {
	 | 
|
| 174 | 
		        if ( _comp( value, _data[_min].prio) ) {
	 | 
|
| 175 | 
		fuse(i,_min);  | 
|
| 176 | 
		_min=i;  | 
|
| 177 | 
		}  | 
|
| 178 | 
		else fuse(_min,i);  | 
|
| 179 | 
		}  | 
|
| 180 | 
		else _min=i;  | 
|
| 181 | 
		 | 
|
| 182 | 
		++_num_items;  | 
|
| 183 | 
		}  | 
|
| 184 | 
		 | 
|
| 185 | 
		/// \brief Return the item having minimum priority.  | 
|
| 186 | 
		///  | 
|
| 187 | 
		/// This function returns the item having minimum priority.  | 
|
| 188 | 
		/// \pre The heap must be non-empty.  | 
|
| 189 | 
		    Item top() const { return _data[_min].name; }
	 | 
|
| 190 | 
		 | 
|
| 191 | 
		/// \brief The minimum priority.  | 
|
| 192 | 
		///  | 
|
| 193 | 
		/// This function returns the minimum priority.  | 
|
| 194 | 
		/// \pre The heap must be non-empty.  | 
|
| 195 | 
		    const Prio& prio() const { return _data[_min].prio; }
	 | 
|
| 196 | 
		 | 
|
| 197 | 
		/// \brief The priority of the given item.  | 
|
| 198 | 
		///  | 
|
| 199 | 
		/// This function returns the priority of the given item.  | 
|
| 200 | 
		/// \param item The item.  | 
|
| 201 | 
		/// \pre \e item must be in the heap.  | 
|
| 202 | 
		    const Prio& operator[](const Item& item) const {
	 | 
|
| 203 | 
		return _data[_iim[item]].prio;  | 
|
| 204 | 
		}  | 
|
| 205 | 
		 | 
|
| 206 | 
		/// \brief Remove the item having minimum priority.  | 
|
| 207 | 
		///  | 
|
| 208 | 
		/// This function removes the item having minimum priority.  | 
|
| 209 | 
		/// \pre The heap must be non-empty.  | 
|
| 210 | 
		    void pop() {
	 | 
|
| 211 | 
		std::vector<int> trees;  | 
|
| 212 | 
		int i=0, child_right = 0;  | 
|
| 213 | 
		_data[_min].in=false;  | 
|
| 214 | 
		 | 
|
| 215 | 
		      if( -1!=_data[_min].child ) {
	 | 
|
| 216 | 
		i=_data[_min].child;  | 
|
| 217 | 
		trees.push_back(i);  | 
|
| 218 | 
		_data[i].parent = -1;  | 
|
| 219 | 
		_data[_min].child = -1;  | 
|
| 220 | 
		 | 
|
| 221 | 
		int ch=-1;  | 
|
| 222 | 
		        while( _data[i].child!=-1 ) {
	 | 
|
| 223 | 
		ch=_data[i].child;  | 
|
| 224 | 
		          if( _data[ch].left_child && i==_data[ch].parent ) {
	 | 
|
| 225 | 
		break;  | 
|
| 226 | 
		          } else {
	 | 
|
| 227 | 
		            if( _data[ch].left_child ) {
	 | 
|
| 228 | 
		child_right=_data[ch].parent;  | 
|
| 229 | 
		_data[ch].parent = i;  | 
|
| 230 | 
		--_data[i].degree;  | 
|
| 231 | 
		}  | 
|
| 232 | 
		            else {
	 | 
|
| 233 | 
		child_right=ch;  | 
|
| 234 | 
		_data[i].child=-1;  | 
|
| 235 | 
		_data[i].degree=0;  | 
|
| 236 | 
		}  | 
|
| 237 | 
		_data[child_right].parent = -1;  | 
|
| 238 | 
		trees.push_back(child_right);  | 
|
| 239 | 
		i = child_right;  | 
|
| 240 | 
		}  | 
|
| 241 | 
		}  | 
|
| 242 | 
		 | 
|
| 243 | 
		int num_child = trees.size();  | 
|
| 244 | 
		int other;  | 
|
| 245 | 
		        for( i=0; i<num_child-1; i+=2 ) {
	 | 
|
| 246 | 
		          if ( !_comp(_data[trees[i]].prio, _data[trees[i+1]].prio) ) {
	 | 
|
| 247 | 
		other=trees[i];  | 
|
| 248 | 
		trees[i]=trees[i+1];  | 
|
| 249 | 
		trees[i+1]=other;  | 
|
| 250 | 
		}  | 
|
| 251 | 
		fuse( trees[i], trees[i+1] );  | 
|
| 252 | 
		}  | 
|
| 253 | 
		 | 
|
| 254 | 
		i = (0==(num_child % 2)) ? num_child-2 : num_child-1;  | 
|
| 255 | 
		        while(i>=2) {
	 | 
|
| 256 | 
		          if ( _comp(_data[trees[i]].prio, _data[trees[i-2]].prio) ) {
	 | 
|
| 257 | 
		other=trees[i];  | 
|
| 258 | 
		trees[i]=trees[i-2];  | 
|
| 259 | 
		trees[i-2]=other;  | 
|
| 260 | 
		}  | 
|
| 261 | 
		fuse( trees[i-2], trees[i] );  | 
|
| 262 | 
		i-=2;  | 
|
| 263 | 
		}  | 
|
| 264 | 
		_min = trees[0];  | 
|
| 265 | 
		}  | 
|
| 266 | 
		      else {
	 | 
|
| 267 | 
		_min = _data[_min].child;  | 
|
| 268 | 
		}  | 
|
| 269 | 
		 | 
|
| 270 | 
		if (_min >= 0) _data[_min].left_child = false;  | 
|
| 271 | 
		--_num_items;  | 
|
| 272 | 
		}  | 
|
| 273 | 
		 | 
|
| 274 | 
		/// \brief Remove the given item from the heap.  | 
|
| 275 | 
		///  | 
|
| 276 | 
		/// This function removes the given item from the heap if it is  | 
|
| 277 | 
		/// already stored.  | 
|
| 278 | 
		/// \param item The item to delete.  | 
|
| 279 | 
		/// \pre \e item must be in the heap.  | 
|
| 280 | 
		    void erase (const Item& item) {
	 | 
|
| 281 | 
		int i=_iim[item];  | 
|
| 282 | 
		      if ( i>=0 && _data[i].in ) {
	 | 
|
| 283 | 
		decrease( item, _data[_min].prio-1 );  | 
|
| 284 | 
		pop();  | 
|
| 285 | 
		}  | 
|
| 286 | 
		}  | 
|
| 287 | 
		 | 
|
| 288 | 
		/// \brief Decrease the priority of an item to the given value.  | 
|
| 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) {
	 | 
|
| 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) ) {
	 | 
|
| 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 | 
		#!/bin/bash  | 
|
| 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 | 
		if [ ! -f ~/.lemon-bootstrap ]; then  | 
|
| 19 | 
		echo 'Create ~/.lemon-bootstrap'.  | 
|
| 20 | 
		cat >~/.lemon-bootstrap <<EOF  | 
|
| 21 | 
		#  | 
|
| 22 | 
		# Default settings for bootstraping the LEMON source code repository  | 
|
| 23 | 
		#  | 
|
| 24 | 
		EOF  | 
|
| 25 | 
		fi  | 
|
| 26 | 
		 | 
|
| 27 | 
		source ~/.lemon-bootstrap  | 
|
| 28 | 
		if [ -f ../../../.lemon-bootstrap ]; then source ../../../.lemon-bootstrap; fi  | 
|
| 29 | 
		if [ -f ../../.lemon-bootstrap ]; then source ../../.lemon-bootstrap; fi  | 
|
| 30 | 
		if [ -f ../.lemon-bootstrap ]; then source ../.lemon-bootstrap; fi  | 
|
| 31 | 
		if [ -f ./.lemon-bootstrap ]; then source ./.lemon-bootstrap; fi  | 
|
| 32 | 
		 | 
|
| 33 | 
		 | 
|
| 34 | 
		function augment_config() { 
	 | 
|
| 35 | 
		    if [ "x${!1}" == "x" ]; then
	 | 
|
| 36 | 
		eval $1=$2  | 
|
| 37 | 
		echo Add "'$1'" to '~/.lemon-bootstrap'.  | 
|
| 38 | 
		echo >>~/.lemon-bootstrap  | 
|
| 39 | 
		echo $3 >>~/.lemon-bootstrap  | 
|
| 40 | 
		echo $1=$2 >>~/.lemon-bootstrap  | 
|
| 41 | 
		fi  | 
|
| 42 | 
		}  | 
|
| 43 | 
		 | 
|
| 44 | 
		augment_config LEMON_INSTALL_PREFIX /usr/local \  | 
|
| 45 | 
		"# LEMON installation prefix"  | 
|
| 46 | 
		 | 
|
| 47 | 
		augment_config COIN_OR_PREFIX /usr/local/coin-or \  | 
|
| 48 | 
		"# COIN-OR installation root prefix (used for CLP/CBC)"  | 
|
| 49 | 
		 | 
|
| 50 | 
		 | 
|
| 51 | 
		function ask() {
	 | 
|
| 52 | 
		echo -n "$1 [$2]? "  | 
|
| 53 | 
		read _an  | 
|
| 54 | 
		if [ "x$_an" == "x" ]; then  | 
|
| 55 | 
		ret="$2"  | 
|
| 56 | 
		else  | 
|
| 57 | 
		ret=$_an  | 
|
| 58 | 
		fi  | 
|
| 59 | 
		}  | 
|
| 60 | 
		 | 
|
| 61 | 
		function yesorno() {
	 | 
|
| 62 | 
		ret='rossz'  | 
|
| 63 | 
		while [ "$ret" != "y" -a "$ret" != "n" -a "$ret" != "yes" -a "$ret" != "no" ]; do  | 
|
| 64 | 
		ask "$1" "$2"  | 
|
| 65 | 
		done  | 
|
| 66 | 
		if [ "$ret" != "y" -a "$ret" != "yes" ]; then  | 
|
| 67 | 
		return 1  | 
|
| 68 | 
		else  | 
|
| 69 | 
		return 0  | 
|
| 70 | 
		fi  | 
|
| 71 | 
		}  | 
|
| 72 | 
		 | 
|
| 73 | 
		if yesorno "External build" "n"  | 
|
| 74 | 
		then  | 
|
| 75 | 
		CONFIGURE_PATH=".."  | 
|
| 76 | 
		else  | 
|
| 77 | 
		CONFIGURE_PATH="."  | 
|
| 78 | 
		if yesorno "Autoreconf" "y"  | 
|
| 79 | 
		then  | 
|
| 80 | 
		AUTORE=yes  | 
|
| 81 | 
		else  | 
|
| 82 | 
		AUTORE=no  | 
|
| 83 | 
		fi  | 
|
| 84 | 
		fi  | 
|
| 85 | 
		 | 
|
| 86 | 
		if yesorno "Optimize" "n"  | 
|
| 87 | 
		then  | 
|
| 88 | 
		opt_flags=' -O2'  | 
|
| 89 | 
		else  | 
|
| 90 | 
		opt_flags=''  | 
|
| 91 | 
		fi  | 
|
| 92 | 
		 | 
|
| 93 | 
		if yesorno "Stop on warning" "y"  | 
|
| 94 | 
		then  | 
|
| 95 | 
		werror_flags=' -Werror'  | 
|
| 96 | 
		else  | 
|
| 97 | 
		werror_flags=''  | 
|
| 98 | 
		fi  | 
|
| 99 | 
		 | 
|
| 100 | 
		cxx_flags="CXXFLAGS=-ggdb$opt_flags$werror_flags"  | 
|
| 101 | 
		 | 
|
| 102 | 
		if yesorno "Use COIN" "n"  | 
|
| 103 | 
		then  | 
|
| 104 | 
		coin_flag="--with-coin=$COIN_OR_PREFIX"  | 
|
| 105 | 
		else  | 
|
| 106 | 
		coin_flag=""  | 
|
| 107 | 
		fi  | 
|
| 108 | 
		 | 
|
| 109 | 
		 | 
|
| 110 | 
		if [ "x$AUTORE" == "xyes" ]; then  | 
|
| 111 | 
		autoreconf -vif;  | 
|
| 112 | 
		fi  | 
|
| 113 | 
		${CONFIGURE_PATH}/configure --prefix=$LEMON_INSTALL_PREFIX \
	 | 
|
| 114 | 
		"$cxx_flags" \  | 
|
| 115 | 
		$coin_flag \  | 
|
| 116 | 
		$*  | 
| ... | ... | 
		@@ -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 \  | 
| ... | ... | 
		@@ -100,2 +104,3 @@  | 
| 100 | 104 | 
		lemon/network_simplex.h \  | 
| 105 | 
		lemon/pairing_heap.h \  | 
|
| 101 | 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 | 
		///This class implements the \e binary \e heap data structure.  | 
|
| 36 | 
		/// This class implements the \e binary \e heap data structure.  | 
|
| 37 | 
		/// It fully conforms to the \ref concepts::Heap "heap concept".  | 
|
| 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.  | 
|
| 48 | 
		///The default is \c std::less<PR>.  | 
|
| 49 | 
		///  | 
|
| 50 | 
		///\sa FibHeap  | 
|
| 51 | 
		///\sa Dijkstra  | 
|
| 39 | 
		/// \tparam PR Type of the priorities of the items.  | 
|
| 40 | 
		/// \tparam IM A read-writable item map with \c int values, used  | 
|
| 41 | 
		/// internally to handle the cross references.  | 
|
| 42 | 
		/// \tparam CMP A functor class for comparing the priorities.  | 
|
| 43 | 
		/// The default is \c std::less<PR>.  | 
|
| 44 | 
		#ifdef DOXYGEN  | 
|
| 45 | 
		template <typename PR, typename IM, typename CMP>  | 
|
| 46 | 
		#else  | 
|
| 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) {
	 | 
| ... | ... | 
		@@ -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 | 
		/// \e  | 
|
| 82 | 
		typedef std::pair<Item, Prio> Pair;  | 
|
| 83 | 
		/// \e  | 
|
| 84 | 
		typedef IM ItemIntMap;  | 
|
| 87 | 
		/// Type of the items stored in the heap.  | 
|
| 88 | 
		typedef typename ItemIntMap::Key Item;  | 
|
| 89 | 
		/// Type of the item-priority pairs.  | 
|
| 90 | 
		typedef std::pair<Item,Prio> Pair;  | 
|
| 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;  | 
| 387 | 
		typedef std::pair<Item, Prio> Pair;  | 
|
| 388 | 
		typedef IM ItemIntMap;  | 
|
| 408 | 
		/// Type of the items stored in the heap.  | 
|
| 409 | 
		typedef typename ItemIntMap::Key Item;  | 
|
| 410 | 
		/// Type of the item-priority pairs.  | 
|
| 411 | 
		typedef std::pair<Item,Prio> Pair;  | 
|
| 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];  | 
| ... | ... | 
		@@ -24,2 +24,3 @@  | 
| 24 | 24 | 
		#include <vector>  | 
| 25 | 
		#include <map>  | 
|
| 25 | 26 | 
		 | 
| ... | ... | 
		@@ -31,4 +32,2 @@  | 
| 31 | 32 | 
		 | 
| 32 | 
		#include <map>  | 
|
| 33 | 
		 | 
|
| 34 | 33 | 
		namespace lemon {
	 | 
| ... | ... | 
		@@ -59,3 +58,3 @@  | 
| 59 | 58 | 
		/// <tt>/dev/null</tt>).  | 
| 60 | 
		/// It conforms the \ref concepts::ReadWriteMap "ReadWriteMap" concept.  | 
|
| 59 | 
		/// It conforms to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.  | 
|
| 61 | 60 | 
		///  | 
| ... | ... | 
		@@ -92,3 +91,3 @@  | 
| 92 | 91 | 
		/// In other aspects it is equivalent to \c NullMap.  | 
| 93 | 
		/// So it conforms the \ref concepts::ReadWriteMap "ReadWriteMap"  | 
|
| 92 | 
		/// So it conforms to the \ref concepts::ReadWriteMap "ReadWriteMap"  | 
|
| 94 | 93 | 
		/// concept, but it absorbs the data written to it.  | 
| ... | ... | 
		@@ -161,3 +160,3 @@  | 
| 161 | 160 | 
		/// In other aspects it is equivalent to \c NullMap.  | 
| 162 | 
		/// So it conforms the \ref concepts::ReadWriteMap "ReadWriteMap"  | 
|
| 161 | 
		/// So it conforms to the \ref concepts::ReadWriteMap "ReadWriteMap"  | 
|
| 163 | 162 | 
		/// concept, but it absorbs the data written to it.  | 
| ... | ... | 
		@@ -235,3 +234,3 @@  | 
| 235 | 234 | 
		/// \c UnionFind, \c BinHeap, when the used items are small  | 
| 236 | 
		/// integers. This map conforms the \ref concepts::ReferenceMap  | 
|
| 235 | 
		/// integers. This map conforms to the \ref concepts::ReferenceMap  | 
|
| 237 | 236 | 
		/// "ReferenceMap" concept.  | 
| ... | ... | 
		@@ -343,3 +342,3 @@  | 
| 343 | 342 | 
		/// contructed value (i.e. \c %Value()).  | 
| 344 | 
		/// This type conforms the \ref concepts::ReferenceMap "ReferenceMap"  | 
|
| 343 | 
		/// This type conforms to the \ref concepts::ReferenceMap "ReferenceMap"  | 
|
| 345 | 344 | 
		/// concept.  | 
| ... | ... | 
		@@ -709,3 +708,3 @@  | 
| 709 | 708 | 
		/// type is \c V.  | 
| 710 | 
		/// This type conforms the \ref concepts::ReadMap "ReadMap" concept.  | 
|
| 709 | 
		/// This type conforms to the \ref concepts::ReadMap "ReadMap" concept.  | 
|
| 711 | 710 | 
		///  | 
| ... | ... | 
		@@ -1792,3 +1791,3 @@  | 
| 1792 | 1791 | 
		/// std::vector<Node> v;  | 
| 1793 | 
		/// dfs(g  | 
|
| 1792 | 
		/// dfs(g).processedMap(loggerBoolMap(std::back_inserter(v))).run(s);  | 
|
| 1794 | 1793 | 
		/// \endcode  | 
| ... | ... | 
		@@ -1796,3 +1795,3 @@  | 
| 1796 | 1795 | 
		/// std::vector<Node> v(countNodes(g));  | 
| 1797 | 
		/// dfs(g  | 
|
| 1796 | 
		/// dfs(g).processedMap(loggerBoolMap(v.begin())).run(s);  | 
|
| 1798 | 1797 | 
		/// \endcode  | 
| ... | ... | 
		@@ -1820,3 +1819,3 @@  | 
| 1820 | 1819 | 
		/// IdMap provides a unique and immutable id for each item of the  | 
| 1821 | 
		/// same type (\c Node, \c Arc or \c Edge) in a graph. This id is  | 
|
| 1820 | 
		/// same type (\c Node, \c Arc or \c Edge) in a graph. This id is  | 
|
| 1822 | 1821 | 
		/// - \b unique: different items get different ids,  | 
| ... | ... | 
		@@ -1828,3 +1827,3 @@  | 
| 1828 | 1827 | 
		/// function of the graph. This map can be inverted with its member  | 
| 1829 | 
		/// class \c InverseMap or with the \c operator() member.  | 
|
| 1828 | 
		/// class \c InverseMap or with the \c operator()() member.  | 
|
| 1830 | 1829 | 
		///  | 
| ... | ... | 
		@@ -1868,5 +1867,7 @@  | 
| 1868 | 1867 | 
		 | 
| 1869 | 
		/// \brief  | 
|
| 1868 | 
		/// \brief The inverse map type of IdMap.  | 
|
| 1870 | 1869 | 
		///  | 
| 1871 | 
		///  | 
|
| 1870 | 
		/// The inverse map type of IdMap. The subscript operator gives back  | 
|
| 1871 | 
		/// an item by its id.  | 
|
| 1872 | 
		/// This type conforms to the \ref concepts::ReadMap "ReadMap" concept.  | 
|
| 1872 | 1873 | 
		/// \see inverse()  | 
| ... | ... | 
		@@ -1885,5 +1886,5 @@  | 
| 1885 | 1886 | 
		 | 
| 1886 | 
		/// \brief Gives back  | 
|
| 1887 | 
		/// \brief Gives back an item by its id.  | 
|
| 1887 | 1888 | 
		///  | 
| 1888 | 
		/// Gives back  | 
|
| 1889 | 
		/// Gives back an item by its id.  | 
|
| 1889 | 1890 | 
		      Item operator[](int id) const { return _graph->fromId(id, Item());}
	 | 
| ... | ... | 
		@@ -1900,2 +1901,10 @@  | 
| 1900 | 1901 | 
		 | 
| 1902 | 
		/// \brief Returns an \c IdMap class.  | 
|
| 1903 | 
		///  | 
|
| 1904 | 
		/// This function just returns an \c IdMap class.  | 
|
| 1905 | 
		/// \relates IdMap  | 
|
| 1906 | 
		template <typename K, typename GR>  | 
|
| 1907 | 
		  inline IdMap<GR, K> idMap(const GR& graph) {
	 | 
|
| 1908 | 
		return IdMap<GR, K>(graph);  | 
|
| 1909 | 
		}  | 
|
| 1901 | 1910 | 
		 | 
| ... | ... | 
		@@ -1906,4 +1915,13 @@  | 
| 1906 | 1915 | 
		/// and if a key is set to a new value, then stores it in the inverse map.  | 
| 1907 | 
		/// The values of the map can be accessed  | 
|
| 1908 | 
		/// with stl compatible forward iterator.  | 
|
| 1916 | 
		/// The graph items can be accessed by their values either using  | 
|
| 1917 | 
		/// \c InverseMap or \c operator()(), and the values of the map can be  | 
|
| 1918 | 
		/// accessed with an STL compatible forward iterator (\c ValueIt).  | 
|
| 1919 | 
		///  | 
|
| 1920 | 
		/// This map is intended to be used when all associated values are  | 
|
| 1921 | 
		/// different (the map is actually invertable) or there are only a few  | 
|
| 1922 | 
		/// items with the same value.  | 
|
| 1923 | 
		/// Otherwise consider to use \c IterableValueMap, which is more  | 
|
| 1924 | 
		/// suitable and more efficient for such cases. It provides iterators  | 
|
| 1925 | 
		/// to traverse the items with the same associated value, however  | 
|
| 1926 | 
		/// it does not have \c InverseMap.  | 
|
| 1909 | 1927 | 
		///  | 
| ... | ... | 
		@@ -1948,3 +1966,3 @@  | 
| 1948 | 1966 | 
		///  | 
| 1949 | 
		/// This iterator is an  | 
|
| 1967 | 
		/// This iterator is an STL compatible forward  | 
|
| 1950 | 1968 | 
		/// iterator on the values of the map. The values can  | 
| ... | ... | 
		@@ -1953,3 +1971,3 @@  | 
| 1953 | 1971 | 
		/// traversed for each item it is assigned to.  | 
| 1954 | 
		class  | 
|
| 1972 | 
		class ValueIt  | 
|
| 1955 | 1973 | 
		      : public std::iterator<std::forward_iterator_tag, Value> {
	 | 
| ... | ... | 
		@@ -1957,3 +1975,3 @@  | 
| 1957 | 1975 | 
		private:  | 
| 1958 | 
		
  | 
|
| 1976 | 
		ValueIt(typename Container::const_iterator _it)  | 
|
| 1959 | 1977 | 
		        : it(_it) {}
	 | 
| ... | ... | 
		@@ -1961,7 +1979,10 @@  | 
| 1961 | 1979 | 
		 | 
| 1962 | 
		      ValueIterator() {}
	 | 
|
| 1963 | 
		 | 
|
| 1964 | 
		      ValueIterator& operator++() { ++it; return *this; }
	 | 
|
| 1965 | 
		      ValueIterator operator++(int) {
	 | 
|
| 1966 | 
		
  | 
|
| 1980 | 
		/// Constructor  | 
|
| 1981 | 
		      ValueIt() {}
	 | 
|
| 1982 | 
		 | 
|
| 1983 | 
		/// \e  | 
|
| 1984 | 
		      ValueIt& operator++() { ++it; return *this; }
	 | 
|
| 1985 | 
		/// \e  | 
|
| 1986 | 
		      ValueIt operator++(int) {
	 | 
|
| 1987 | 
		ValueIt tmp(*this);  | 
|
| 1967 | 1988 | 
		operator++();  | 
| ... | ... | 
		@@ -1970,7 +1991,11 @@  | 
| 1970 | 1991 | 
		 | 
| 1992 | 
		/// \e  | 
|
| 1971 | 1993 | 
		      const Value& operator*() const { return it->first; }
	 | 
| 1994 | 
		/// \e  | 
|
| 1972 | 1995 | 
		      const Value* operator->() const { return &(it->first); }
	 | 
| 1973 | 1996 | 
		 | 
| 1974 | 
		      bool operator==(ValueIterator jt) const { return it == jt.it; }
	 | 
|
| 1975 | 
		      bool operator!=(ValueIterator jt) const { return it != jt.it; }
	 | 
|
| 1997 | 
		/// \e  | 
|
| 1998 | 
		      bool operator==(ValueIt jt) const { return it == jt.it; }
	 | 
|
| 1999 | 
		/// \e  | 
|
| 2000 | 
		      bool operator!=(ValueIt jt) const { return it != jt.it; }
	 | 
|
| 1976 | 2001 | 
		 | 
| ... | ... | 
		@@ -1979,2 +2004,5 @@  | 
| 1979 | 2004 | 
		};  | 
| 2005 | 
		 | 
|
| 2006 | 
		/// Alias for \c ValueIt  | 
|
| 2007 | 
		typedef ValueIt ValueIterator;  | 
|
| 1980 | 2008 | 
		 | 
| ... | ... | 
		@@ -1982,3 +2010,3 @@  | 
| 1982 | 2010 | 
		///  | 
| 1983 | 
		/// Returns an  | 
|
| 2011 | 
		/// Returns an STL compatible iterator to the  | 
|
| 1984 | 2012 | 
		/// first value of the map. The values of the  | 
| ... | ... | 
		@@ -1986,4 +2014,4 @@  | 
| 1986 | 2014 | 
		/// range.  | 
| 1987 | 
		    ValueIterator beginValue() const {
	 | 
|
| 1988 | 
		return ValueIterator(_inv_map.begin());  | 
|
| 2015 | 
		    ValueIt beginValue() const {
	 | 
|
| 2016 | 
		return ValueIt(_inv_map.begin());  | 
|
| 1989 | 2017 | 
		}  | 
| ... | ... | 
		@@ -1992,3 +2020,3 @@  | 
| 1992 | 2020 | 
		///  | 
| 1993 | 
		/// Returns an  | 
|
| 2021 | 
		/// Returns an STL compatible iterator after the  | 
|
| 1994 | 2022 | 
		/// last value of the map. The values of the  | 
| ... | ... | 
		@@ -1996,4 +2024,4 @@  | 
| 1996 | 2024 | 
		/// range.  | 
| 1997 | 
		    ValueIterator endValue() const {
	 | 
|
| 1998 | 
		return ValueIterator(_inv_map.end());  | 
|
| 2025 | 
		    ValueIt endValue() const {
	 | 
|
| 2026 | 
		return ValueIt(_inv_map.end());  | 
|
| 1999 | 2027 | 
		}  | 
| ... | ... | 
		@@ -2035,2 +2063,10 @@  | 
| 2035 | 2063 | 
		}  | 
| 2064 | 
		 | 
|
| 2065 | 
		/// \brief Returns the number of items with the given value.  | 
|
| 2066 | 
		///  | 
|
| 2067 | 
		/// This function returns the number of items with the given value  | 
|
| 2068 | 
		/// associated with it.  | 
|
| 2069 | 
		    int count(const Value &val) const {
	 | 
|
| 2070 | 
		return _inv_map.count(val);  | 
|
| 2071 | 
		}  | 
|
| 2036 | 2072 | 
		 | 
| ... | ... | 
		@@ -2085,6 +2121,8 @@  | 
| 2085 | 2121 | 
		 | 
| 2086 | 
		/// \brief The inverse map type.  | 
|
| 2122 | 
		/// \brief The inverse map type of CrossRefMap.  | 
|
| 2087 | 2123 | 
		///  | 
| 2088 | 
		/// The inverse of this map. The subscript operator of the map  | 
|
| 2089 | 
		/// gives back the item that was last assigned to the value.  | 
|
| 2124 | 
		/// The inverse map type of CrossRefMap. The subscript operator gives  | 
|
| 2125 | 
		/// back an item by its value.  | 
|
| 2126 | 
		/// This type conforms to the \ref concepts::ReadMap "ReadMap" concept.  | 
|
| 2127 | 
		/// \see inverse()  | 
|
| 2090 | 2128 | 
		    class InverseMap {
	 | 
| ... | ... | 
		@@ -2115,5 +2153,5 @@  | 
| 2115 | 2153 | 
		 | 
| 2116 | 
		/// \brief  | 
|
| 2154 | 
		/// \brief Gives back the inverse of the map.  | 
|
| 2117 | 2155 | 
		///  | 
| 2118 | 
		///  | 
|
| 2156 | 
		/// Gives back the inverse of the CrossRefMap.  | 
|
| 2119 | 2157 | 
		    InverseMap inverse() const {
	 | 
| ... | ... | 
		@@ -2124,3 +2162,3 @@  | 
| 2124 | 2162 | 
		 | 
| 2125 | 
		/// \brief Provides continuous and unique  | 
|
| 2163 | 
		/// \brief Provides continuous and unique id for the  | 
|
| 2126 | 2164 | 
		/// items of a graph.  | 
| ... | ... | 
		@@ -2128,3 +2166,3 @@  | 
| 2128 | 2166 | 
		/// RangeIdMap provides a unique and continuous  | 
| 2129 | 
		///  | 
|
| 2167 | 
		/// id for each item of a given type (\c Node, \c Arc or  | 
|
| 2130 | 2168 | 
		/// \c Edge) in a graph. This id is  | 
| ... | ... | 
		@@ -2139,3 +2177,3 @@  | 
| 2139 | 2177 | 
		/// This map can be inverted with its member class \c InverseMap,  | 
| 2140 | 
		/// or with the \c operator() member.  | 
|
| 2178 | 
		/// or with the \c operator()() member.  | 
|
| 2141 | 2179 | 
		///  | 
| ... | ... | 
		@@ -2267,5 +2305,5 @@  | 
| 2267 | 2305 | 
		 | 
| 2268 | 
		/// \brief Gives back the \e  | 
|
| 2306 | 
		/// \brief Gives back the \e range \e id of the item  | 
|
| 2269 | 2307 | 
		///  | 
| 2270 | 
		/// Gives back the \e  | 
|
| 2308 | 
		/// Gives back the \e range \e id of the item.  | 
|
| 2271 | 2309 | 
		    int operator[](const Item& item) const {
	 | 
| ... | ... | 
		@@ -2274,5 +2312,5 @@  | 
| 2274 | 2312 | 
		 | 
| 2275 | 
		/// \brief Gives back the item belonging to a \e RangeId  | 
|
| 2276 | 
		///  | 
|
| 2277 | 
		/// Gives back the item belonging to a \e  | 
|
| 2313 | 
		/// \brief Gives back the item belonging to a \e range \e id  | 
|
| 2314 | 
		///  | 
|
| 2315 | 
		/// Gives back the item belonging to the given \e range \e id.  | 
|
| 2278 | 2316 | 
		    Item operator()(int id) const {
	 | 
| ... | ... | 
		@@ -2290,3 +2328,5 @@  | 
| 2290 | 2328 | 
		///  | 
| 2291 | 
		/// The inverse map type of RangeIdMap.  | 
|
| 2329 | 
		/// The inverse map type of RangeIdMap. The subscript operator gives  | 
|
| 2330 | 
		/// back an item by its \e range \e id.  | 
|
| 2331 | 
		/// This type conforms to the \ref concepts::ReadMap "ReadMap" concept.  | 
|
| 2292 | 2332 | 
		    class InverseMap {
	 | 
| ... | ... | 
		@@ -2308,3 +2348,3 @@  | 
| 2308 | 2348 | 
		/// Subscript operator. It gives back the item  | 
| 2309 | 
		/// that the  | 
|
| 2349 | 
		/// that the given \e range \e id currently belongs to.  | 
|
| 2310 | 2350 | 
		      Value operator[](const Key& key) const {
	 | 
| ... | ... | 
		@@ -2326,3 +2366,3 @@  | 
| 2326 | 2366 | 
		///  | 
| 2327 | 
		/// Gives back the inverse of the  | 
|
| 2367 | 
		/// Gives back the inverse of the RangeIdMap.  | 
|
| 2328 | 2368 | 
		    const InverseMap inverse() const {
	 | 
| ... | ... | 
		@@ -2332,2 +2372,922 @@  | 
| 2332 | 2372 | 
		 | 
| 2373 | 
		/// \brief Returns a \c RangeIdMap class.  | 
|
| 2374 | 
		///  | 
|
| 2375 | 
		/// This function just returns an \c RangeIdMap class.  | 
|
| 2376 | 
		/// \relates RangeIdMap  | 
|
| 2377 | 
		template <typename K, typename GR>  | 
|
| 2378 | 
		  inline RangeIdMap<GR, K> rangeIdMap(const GR& graph) {
	 | 
|
| 2379 | 
		return RangeIdMap<GR, K>(graph);  | 
|
| 2380 | 
		}  | 
|
| 2381 | 
		 | 
|
| 2382 | 
		/// \brief Dynamic iterable \c bool map.  | 
|
| 2383 | 
		///  | 
|
| 2384 | 
		/// This class provides a special graph map type which can store a  | 
|
| 2385 | 
		/// \c bool value for graph items (\c Node, \c Arc or \c Edge).  | 
|
| 2386 | 
		/// For both \c true and \c false values it is possible to iterate on  | 
|
| 2387 | 
		/// the keys mapped to the value.  | 
|
| 2388 | 
		///  | 
|
| 2389 | 
		/// This type is a reference map, so it can be modified with the  | 
|
| 2390 | 
		/// subscript operator.  | 
|
| 2391 | 
		///  | 
|
| 2392 | 
		/// \tparam GR The graph type.  | 
|
| 2393 | 
		/// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or  | 
|
| 2394 | 
		/// \c GR::Edge).  | 
|
| 2395 | 
		///  | 
|
| 2396 | 
		/// \see IterableIntMap, IterableValueMap  | 
|
| 2397 | 
		/// \see CrossRefMap  | 
|
| 2398 | 
		template <typename GR, typename K>  | 
|
| 2399 | 
		class IterableBoolMap  | 
|
| 2400 | 
		    : protected ItemSetTraits<GR, K>::template Map<int>::Type {
	 | 
|
| 2401 | 
		private:  | 
|
| 2402 | 
		typedef GR Graph;  | 
|
| 2403 | 
		 | 
|
| 2404 | 
		typedef typename ItemSetTraits<GR, K>::ItemIt KeyIt;  | 
|
| 2405 | 
		typedef typename ItemSetTraits<GR, K>::template Map<int>::Type Parent;  | 
|
| 2406 | 
		 | 
|
| 2407 | 
		std::vector<K> _array;  | 
|
| 2408 | 
		int _sep;  | 
|
| 2409 | 
		 | 
|
| 2410 | 
		public:  | 
|
| 2411 | 
		 | 
|
| 2412 | 
		/// Indicates that the map is reference map.  | 
|
| 2413 | 
		typedef True ReferenceMapTag;  | 
|
| 2414 | 
		 | 
|
| 2415 | 
		/// The key type  | 
|
| 2416 | 
		typedef K Key;  | 
|
| 2417 | 
		/// The value type  | 
|
| 2418 | 
		typedef bool Value;  | 
|
| 2419 | 
		/// The const reference type.  | 
|
| 2420 | 
		typedef const Value& ConstReference;  | 
|
| 2421 | 
		 | 
|
| 2422 | 
		private:  | 
|
| 2423 | 
		 | 
|
| 2424 | 
		    int position(const Key& key) const {
	 | 
|
| 2425 | 
		return Parent::operator[](key);  | 
|
| 2426 | 
		}  | 
|
| 2427 | 
		 | 
|
| 2428 | 
		public:  | 
|
| 2429 | 
		 | 
|
| 2430 | 
		/// \brief Reference to the value of the map.  | 
|
| 2431 | 
		///  | 
|
| 2432 | 
		/// This class is similar to the \c bool type. It can be converted to  | 
|
| 2433 | 
		/// \c bool and it provides the same operators.  | 
|
| 2434 | 
		    class Reference {
	 | 
|
| 2435 | 
		friend class IterableBoolMap;  | 
|
| 2436 | 
		private:  | 
|
| 2437 | 
		Reference(IterableBoolMap& map, const Key& key)  | 
|
| 2438 | 
		        : _key(key), _map(map) {}
	 | 
|
| 2439 | 
		public:  | 
|
| 2440 | 
		 | 
|
| 2441 | 
		      Reference& operator=(const Reference& value) {
	 | 
|
| 2442 | 
		_map.set(_key, static_cast<bool>(value));  | 
|
| 2443 | 
		return *this;  | 
|
| 2444 | 
		}  | 
|
| 2445 | 
		 | 
|
| 2446 | 
		      operator bool() const {
	 | 
|
| 2447 | 
		return static_cast<const IterableBoolMap&>(_map)[_key];  | 
|
| 2448 | 
		}  | 
|
| 2449 | 
		 | 
|
| 2450 | 
		      Reference& operator=(bool value) {
	 | 
|
| 2451 | 
		_map.set(_key, value);  | 
|
| 2452 | 
		return *this;  | 
|
| 2453 | 
		}  | 
|
| 2454 | 
		      Reference& operator&=(bool value) {
	 | 
|
| 2455 | 
		_map.set(_key, _map[_key] & value);  | 
|
| 2456 | 
		return *this;  | 
|
| 2457 | 
		}  | 
|
| 2458 | 
		      Reference& operator|=(bool value) {
	 | 
|
| 2459 | 
		_map.set(_key, _map[_key] | value);  | 
|
| 2460 | 
		return *this;  | 
|
| 2461 | 
		}  | 
|
| 2462 | 
		      Reference& operator^=(bool value) {
	 | 
|
| 2463 | 
		_map.set(_key, _map[_key] ^ value);  | 
|
| 2464 | 
		return *this;  | 
|
| 2465 | 
		}  | 
|
| 2466 | 
		private:  | 
|
| 2467 | 
		Key _key;  | 
|
| 2468 | 
		IterableBoolMap& _map;  | 
|
| 2469 | 
		};  | 
|
| 2470 | 
		 | 
|
| 2471 | 
		/// \brief Constructor of the map with a default value.  | 
|
| 2472 | 
		///  | 
|
| 2473 | 
		/// Constructor of the map with a default value.  | 
|
| 2474 | 
		explicit IterableBoolMap(const Graph& graph, bool def = false)  | 
|
| 2475 | 
		      : Parent(graph) {
	 | 
|
| 2476 | 
		typename Parent::Notifier* nf = Parent::notifier();  | 
|
| 2477 | 
		Key it;  | 
|
| 2478 | 
		      for (nf->first(it); it != INVALID; nf->next(it)) {
	 | 
|
| 2479 | 
		Parent::set(it, _array.size());  | 
|
| 2480 | 
		_array.push_back(it);  | 
|
| 2481 | 
		}  | 
|
| 2482 | 
		_sep = (def ? _array.size() : 0);  | 
|
| 2483 | 
		}  | 
|
| 2484 | 
		 | 
|
| 2485 | 
		/// \brief Const subscript operator of the map.  | 
|
| 2486 | 
		///  | 
|
| 2487 | 
		/// Const subscript operator of the map.  | 
|
| 2488 | 
		    bool operator[](const Key& key) const {
	 | 
|
| 2489 | 
		return position(key) < _sep;  | 
|
| 2490 | 
		}  | 
|
| 2491 | 
		 | 
|
| 2492 | 
		/// \brief Subscript operator of the map.  | 
|
| 2493 | 
		///  | 
|
| 2494 | 
		/// Subscript operator of the map.  | 
|
| 2495 | 
		    Reference operator[](const Key& key) {
	 | 
|
| 2496 | 
		return Reference(*this, key);  | 
|
| 2497 | 
		}  | 
|
| 2498 | 
		 | 
|
| 2499 | 
		/// \brief Set operation of the map.  | 
|
| 2500 | 
		///  | 
|
| 2501 | 
		/// Set operation of the map.  | 
|
| 2502 | 
		    void set(const Key& key, bool value) {
	 | 
|
| 2503 | 
		int pos = position(key);  | 
|
| 2504 | 
		      if (value) {
	 | 
|
| 2505 | 
		if (pos < _sep) return;  | 
|
| 2506 | 
		Key tmp = _array[_sep];  | 
|
| 2507 | 
		_array[_sep] = key;  | 
|
| 2508 | 
		Parent::set(key, _sep);  | 
|
| 2509 | 
		_array[pos] = tmp;  | 
|
| 2510 | 
		Parent::set(tmp, pos);  | 
|
| 2511 | 
		++_sep;  | 
|
| 2512 | 
		      } else {
	 | 
|
| 2513 | 
		if (pos >= _sep) return;  | 
|
| 2514 | 
		--_sep;  | 
|
| 2515 | 
		Key tmp = _array[_sep];  | 
|
| 2516 | 
		_array[_sep] = key;  | 
|
| 2517 | 
		Parent::set(key, _sep);  | 
|
| 2518 | 
		_array[pos] = tmp;  | 
|
| 2519 | 
		Parent::set(tmp, pos);  | 
|
| 2520 | 
		}  | 
|
| 2521 | 
		}  | 
|
| 2522 | 
		 | 
|
| 2523 | 
		/// \brief Set all items.  | 
|
| 2524 | 
		///  | 
|
| 2525 | 
		/// Set all items in the map.  | 
|
| 2526 | 
		/// \note Constant time operation.  | 
|
| 2527 | 
		    void setAll(bool value) {
	 | 
|
| 2528 | 
		_sep = (value ? _array.size() : 0);  | 
|
| 2529 | 
		}  | 
|
| 2530 | 
		 | 
|
| 2531 | 
		/// \brief Returns the number of the keys mapped to \c true.  | 
|
| 2532 | 
		///  | 
|
| 2533 | 
		/// Returns the number of the keys mapped to \c true.  | 
|
| 2534 | 
		    int trueNum() const {
	 | 
|
| 2535 | 
		return _sep;  | 
|
| 2536 | 
		}  | 
|
| 2537 | 
		 | 
|
| 2538 | 
		/// \brief Returns the number of the keys mapped to \c false.  | 
|
| 2539 | 
		///  | 
|
| 2540 | 
		/// Returns the number of the keys mapped to \c false.  | 
|
| 2541 | 
		    int falseNum() const {
	 | 
|
| 2542 | 
		return _array.size() - _sep;  | 
|
| 2543 | 
		}  | 
|
| 2544 | 
		 | 
|
| 2545 | 
		/// \brief Iterator for the keys mapped to \c true.  | 
|
| 2546 | 
		///  | 
|
| 2547 | 
		/// Iterator for the keys mapped to \c true. It works  | 
|
| 2548 | 
		/// like a graph item iterator, it can be converted to  | 
|
| 2549 | 
		/// the key type of the map, incremented with \c ++ operator, and  | 
|
| 2550 | 
		/// if the iterator leaves the last valid key, it will be equal to  | 
|
| 2551 | 
		/// \c INVALID.  | 
|
| 2552 | 
		    class TrueIt : public Key {
	 | 
|
| 2553 | 
		public:  | 
|
| 2554 | 
		typedef Key Parent;  | 
|
| 2555 | 
		 | 
|
| 2556 | 
		/// \brief Creates an iterator.  | 
|
| 2557 | 
		///  | 
|
| 2558 | 
		/// Creates an iterator. It iterates on the  | 
|
| 2559 | 
		/// keys mapped to \c true.  | 
|
| 2560 | 
		/// \param map The IterableBoolMap.  | 
|
| 2561 | 
		explicit TrueIt(const IterableBoolMap& map)  | 
|
| 2562 | 
		: Parent(map._sep > 0 ? map._array[map._sep - 1] : INVALID),  | 
|
| 2563 | 
		          _map(&map) {}
	 | 
|
| 2564 | 
		 | 
|
| 2565 | 
		/// \brief Invalid constructor \& conversion.  | 
|
| 2566 | 
		///  | 
|
| 2567 | 
		/// This constructor initializes the iterator to be invalid.  | 
|
| 2568 | 
		/// \sa Invalid for more details.  | 
|
| 2569 | 
		      TrueIt(Invalid) : Parent(INVALID), _map(0) {}
	 | 
|
| 2570 | 
		 | 
|
| 2571 | 
		/// \brief Increment operator.  | 
|
| 2572 | 
		///  | 
|
| 2573 | 
		/// Increment operator.  | 
|
| 2574 | 
		      TrueIt& operator++() {
	 | 
|
| 2575 | 
		int pos = _map->position(*this);  | 
|
| 2576 | 
		Parent::operator=(pos > 0 ? _map->_array[pos - 1] : INVALID);  | 
|
| 2577 | 
		return *this;  | 
|
| 2578 | 
		}  | 
|
| 2579 | 
		 | 
|
| 2580 | 
		private:  | 
|
| 2581 | 
		const IterableBoolMap* _map;  | 
|
| 2582 | 
		};  | 
|
| 2583 | 
		 | 
|
| 2584 | 
		/// \brief Iterator for the keys mapped to \c false.  | 
|
| 2585 | 
		///  | 
|
| 2586 | 
		/// Iterator for the keys mapped to \c false. It works  | 
|
| 2587 | 
		/// like a graph item iterator, it can be converted to  | 
|
| 2588 | 
		/// the key type of the map, incremented with \c ++ operator, and  | 
|
| 2589 | 
		/// if the iterator leaves the last valid key, it will be equal to  | 
|
| 2590 | 
		/// \c INVALID.  | 
|
| 2591 | 
		    class FalseIt : public Key {
	 | 
|
| 2592 | 
		public:  | 
|
| 2593 | 
		typedef Key Parent;  | 
|
| 2594 | 
		 | 
|
| 2595 | 
		/// \brief Creates an iterator.  | 
|
| 2596 | 
		///  | 
|
| 2597 | 
		/// Creates an iterator. It iterates on the  | 
|
| 2598 | 
		/// keys mapped to \c false.  | 
|
| 2599 | 
		/// \param map The IterableBoolMap.  | 
|
| 2600 | 
		explicit FalseIt(const IterableBoolMap& map)  | 
|
| 2601 | 
		: Parent(map._sep < int(map._array.size()) ?  | 
|
| 2602 | 
		                 map._array.back() : INVALID), _map(&map) {}
	 | 
|
| 2603 | 
		 | 
|
| 2604 | 
		/// \brief Invalid constructor \& conversion.  | 
|
| 2605 | 
		///  | 
|
| 2606 | 
		/// This constructor initializes the iterator to be invalid.  | 
|
| 2607 | 
		/// \sa Invalid for more details.  | 
|
| 2608 | 
		      FalseIt(Invalid) : Parent(INVALID), _map(0) {}
	 | 
|
| 2609 | 
		 | 
|
| 2610 | 
		/// \brief Increment operator.  | 
|
| 2611 | 
		///  | 
|
| 2612 | 
		/// Increment operator.  | 
|
| 2613 | 
		      FalseIt& operator++() {
	 | 
|
| 2614 | 
		int pos = _map->position(*this);  | 
|
| 2615 | 
		Parent::operator=(pos > _map->_sep ? _map->_array[pos - 1] : INVALID);  | 
|
| 2616 | 
		return *this;  | 
|
| 2617 | 
		}  | 
|
| 2618 | 
		 | 
|
| 2619 | 
		private:  | 
|
| 2620 | 
		const IterableBoolMap* _map;  | 
|
| 2621 | 
		};  | 
|
| 2622 | 
		 | 
|
| 2623 | 
		/// \brief Iterator for the keys mapped to a given value.  | 
|
| 2624 | 
		///  | 
|
| 2625 | 
		/// Iterator for the keys mapped to a given value. It works  | 
|
| 2626 | 
		/// like a graph item iterator, it can be converted to  | 
|
| 2627 | 
		/// the key type of the map, incremented with \c ++ operator, and  | 
|
| 2628 | 
		/// if the iterator leaves the last valid key, it will be equal to  | 
|
| 2629 | 
		/// \c INVALID.  | 
|
| 2630 | 
		    class ItemIt : public Key {
	 | 
|
| 2631 | 
		public:  | 
|
| 2632 | 
		typedef Key Parent;  | 
|
| 2633 | 
		 | 
|
| 2634 | 
		/// \brief Creates an iterator with a value.  | 
|
| 2635 | 
		///  | 
|
| 2636 | 
		/// Creates an iterator with a value. It iterates on the  | 
|
| 2637 | 
		/// keys mapped to the given value.  | 
|
| 2638 | 
		/// \param map The IterableBoolMap.  | 
|
| 2639 | 
		/// \param value The value.  | 
|
| 2640 | 
		ItemIt(const IterableBoolMap& map, bool value)  | 
|
| 2641 | 
		: Parent(value ?  | 
|
| 2642 | 
		(map._sep > 0 ?  | 
|
| 2643 | 
		map._array[map._sep - 1] : INVALID) :  | 
|
| 2644 | 
		(map._sep < int(map._array.size()) ?  | 
|
| 2645 | 
		                  map._array.back() : INVALID)), _map(&map) {}
	 | 
|
| 2646 | 
		 | 
|
| 2647 | 
		/// \brief Invalid constructor \& conversion.  | 
|
| 2648 | 
		///  | 
|
| 2649 | 
		/// This constructor initializes the iterator to be invalid.  | 
|
| 2650 | 
		/// \sa Invalid for more details.  | 
|
| 2651 | 
		      ItemIt(Invalid) : Parent(INVALID), _map(0) {}
	 | 
|
| 2652 | 
		 | 
|
| 2653 | 
		/// \brief Increment operator.  | 
|
| 2654 | 
		///  | 
|
| 2655 | 
		/// Increment operator.  | 
|
| 2656 | 
		      ItemIt& operator++() {
	 | 
|
| 2657 | 
		int pos = _map->position(*this);  | 
|
| 2658 | 
		int _sep = pos >= _map->_sep ? _map->_sep : 0;  | 
|
| 2659 | 
		Parent::operator=(pos > _sep ? _map->_array[pos - 1] : INVALID);  | 
|
| 2660 | 
		return *this;  | 
|
| 2661 | 
		}  | 
|
| 2662 | 
		 | 
|
| 2663 | 
		private:  | 
|
| 2664 | 
		const IterableBoolMap* _map;  | 
|
| 2665 | 
		};  | 
|
| 2666 | 
		 | 
|
| 2667 | 
		protected:  | 
|
| 2668 | 
		 | 
|
| 2669 | 
		    virtual void add(const Key& key) {
	 | 
|
| 2670 | 
		Parent::add(key);  | 
|
| 2671 | 
		Parent::set(key, _array.size());  | 
|
| 2672 | 
		_array.push_back(key);  | 
|
| 2673 | 
		}  | 
|
| 2674 | 
		 | 
|
| 2675 | 
		    virtual void add(const std::vector<Key>& keys) {
	 | 
|
| 2676 | 
		Parent::add(keys);  | 
|
| 2677 | 
		      for (int i = 0; i < int(keys.size()); ++i) {
	 | 
|
| 2678 | 
		Parent::set(keys[i], _array.size());  | 
|
| 2679 | 
		_array.push_back(keys[i]);  | 
|
| 2680 | 
		}  | 
|
| 2681 | 
		}  | 
|
| 2682 | 
		 | 
|
| 2683 | 
		    virtual void erase(const Key& key) {
	 | 
|
| 2684 | 
		int pos = position(key);  | 
|
| 2685 | 
		      if (pos < _sep) {
	 | 
|
| 2686 | 
		--_sep;  | 
|
| 2687 | 
		Parent::set(_array[_sep], pos);  | 
|
| 2688 | 
		_array[pos] = _array[_sep];  | 
|
| 2689 | 
		Parent::set(_array.back(), _sep);  | 
|
| 2690 | 
		_array[_sep] = _array.back();  | 
|
| 2691 | 
		_array.pop_back();  | 
|
| 2692 | 
		      } else {
	 | 
|
| 2693 | 
		Parent::set(_array.back(), pos);  | 
|
| 2694 | 
		_array[pos] = _array.back();  | 
|
| 2695 | 
		_array.pop_back();  | 
|
| 2696 | 
		}  | 
|
| 2697 | 
		Parent::erase(key);  | 
|
| 2698 | 
		}  | 
|
| 2699 | 
		 | 
|
| 2700 | 
		    virtual void erase(const std::vector<Key>& keys) {
	 | 
|
| 2701 | 
		      for (int i = 0; i < int(keys.size()); ++i) {
	 | 
|
| 2702 | 
		int pos = position(keys[i]);  | 
|
| 2703 | 
		        if (pos < _sep) {
	 | 
|
| 2704 | 
		--_sep;  | 
|
| 2705 | 
		Parent::set(_array[_sep], pos);  | 
|
| 2706 | 
		_array[pos] = _array[_sep];  | 
|
| 2707 | 
		Parent::set(_array.back(), _sep);  | 
|
| 2708 | 
		_array[_sep] = _array.back();  | 
|
| 2709 | 
		_array.pop_back();  | 
|
| 2710 | 
		        } else {
	 | 
|
| 2711 | 
		Parent::set(_array.back(), pos);  | 
|
| 2712 | 
		_array[pos] = _array.back();  | 
|
| 2713 | 
		_array.pop_back();  | 
|
| 2714 | 
		}  | 
|
| 2715 | 
		}  | 
|
| 2716 | 
		Parent::erase(keys);  | 
|
| 2717 | 
		}  | 
|
| 2718 | 
		 | 
|
| 2719 | 
		    virtual void build() {
	 | 
|
| 2720 | 
		Parent::build();  | 
|
| 2721 | 
		typename Parent::Notifier* nf = Parent::notifier();  | 
|
| 2722 | 
		Key it;  | 
|
| 2723 | 
		      for (nf->first(it); it != INVALID; nf->next(it)) {
	 | 
|
| 2724 | 
		Parent::set(it, _array.size());  | 
|
| 2725 | 
		_array.push_back(it);  | 
|
| 2726 | 
		}  | 
|
| 2727 | 
		_sep = 0;  | 
|
| 2728 | 
		}  | 
|
| 2729 | 
		 | 
|
| 2730 | 
		    virtual void clear() {
	 | 
|
| 2731 | 
		_array.clear();  | 
|
| 2732 | 
		_sep = 0;  | 
|
| 2733 | 
		Parent::clear();  | 
|
| 2734 | 
		}  | 
|
| 2735 | 
		 | 
|
| 2736 | 
		};  | 
|
| 2737 | 
		 | 
|
| 2738 | 
		 | 
|
| 2739 | 
		  namespace _maps_bits {
	 | 
|
| 2740 | 
		template <typename Item>  | 
|
| 2741 | 
		    struct IterableIntMapNode {
	 | 
|
| 2742 | 
		      IterableIntMapNode() : value(-1) {}
	 | 
|
| 2743 | 
		      IterableIntMapNode(int _value) : value(_value) {}
	 | 
|
| 2744 | 
		Item prev, next;  | 
|
| 2745 | 
		int value;  | 
|
| 2746 | 
		};  | 
|
| 2747 | 
		}  | 
|
| 2748 | 
		 | 
|
| 2749 | 
		/// \brief Dynamic iterable integer map.  | 
|
| 2750 | 
		///  | 
|
| 2751 | 
		/// This class provides a special graph map type which can store an  | 
|
| 2752 | 
		/// integer value for graph items (\c Node, \c Arc or \c Edge).  | 
|
| 2753 | 
		/// For each non-negative value it is possible to iterate on the keys  | 
|
| 2754 | 
		/// mapped to the value.  | 
|
| 2755 | 
		///  | 
|
| 2756 | 
		/// This map is intended to be used with small integer values, for which  | 
|
| 2757 | 
		/// it is efficient, and supports iteration only for non-negative values.  | 
|
| 2758 | 
		/// If you need large values and/or iteration for negative integers,  | 
|
| 2759 | 
		/// consider to use \ref IterableValueMap instead.  | 
|
| 2760 | 
		///  | 
|
| 2761 | 
		/// This type is a reference map, so it can be modified with the  | 
|
| 2762 | 
		/// subscript operator.  | 
|
| 2763 | 
		///  | 
|
| 2764 | 
		/// \note The size of the data structure depends on the largest  | 
|
| 2765 | 
		/// value in the map.  | 
|
| 2766 | 
		///  | 
|
| 2767 | 
		/// \tparam GR The graph type.  | 
|
| 2768 | 
		/// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or  | 
|
| 2769 | 
		/// \c GR::Edge).  | 
|
| 2770 | 
		///  | 
|
| 2771 | 
		/// \see IterableBoolMap, IterableValueMap  | 
|
| 2772 | 
		/// \see CrossRefMap  | 
|
| 2773 | 
		template <typename GR, typename K>  | 
|
| 2774 | 
		class IterableIntMap  | 
|
| 2775 | 
		: protected ItemSetTraits<GR, K>::  | 
|
| 2776 | 
		        template Map<_maps_bits::IterableIntMapNode<K> >::Type {
	 | 
|
| 2777 | 
		public:  | 
|
| 2778 | 
		typedef typename ItemSetTraits<GR, K>::  | 
|
| 2779 | 
		template Map<_maps_bits::IterableIntMapNode<K> >::Type Parent;  | 
|
| 2780 | 
		 | 
|
| 2781 | 
		/// The key type  | 
|
| 2782 | 
		typedef K Key;  | 
|
| 2783 | 
		/// The value type  | 
|
| 2784 | 
		typedef int Value;  | 
|
| 2785 | 
		/// The graph type  | 
|
| 2786 | 
		typedef GR Graph;  | 
|
| 2787 | 
		 | 
|
| 2788 | 
		/// \brief Constructor of the map.  | 
|
| 2789 | 
		///  | 
|
| 2790 | 
		/// Constructor of the map. It sets all values to -1.  | 
|
| 2791 | 
		explicit IterableIntMap(const Graph& graph)  | 
|
| 2792 | 
		      : Parent(graph) {}
	 | 
|
| 2793 | 
		 | 
|
| 2794 | 
		/// \brief Constructor of the map with a given value.  | 
|
| 2795 | 
		///  | 
|
| 2796 | 
		/// Constructor of the map with a given value.  | 
|
| 2797 | 
		explicit IterableIntMap(const Graph& graph, int value)  | 
|
| 2798 | 
		      : Parent(graph, _maps_bits::IterableIntMapNode<K>(value)) {
	 | 
|
| 2799 | 
		      if (value >= 0) {
	 | 
|
| 2800 | 
		        for (typename Parent::ItemIt it(*this); it != INVALID; ++it) {
	 | 
|
| 2801 | 
		lace(it);  | 
|
| 2802 | 
		}  | 
|
| 2803 | 
		}  | 
|
| 2804 | 
		}  | 
|
| 2805 | 
		 | 
|
| 2806 | 
		private:  | 
|
| 2807 | 
		 | 
|
| 2808 | 
		    void unlace(const Key& key) {
	 | 
|
| 2809 | 
		typename Parent::Value& node = Parent::operator[](key);  | 
|
| 2810 | 
		if (node.value < 0) return;  | 
|
| 2811 | 
		      if (node.prev != INVALID) {
	 | 
|
| 2812 | 
		Parent::operator[](node.prev).next = node.next;  | 
|
| 2813 | 
		      } else {
	 | 
|
| 2814 | 
		_first[node.value] = node.next;  | 
|
| 2815 | 
		}  | 
|
| 2816 | 
		      if (node.next != INVALID) {
	 | 
|
| 2817 | 
		Parent::operator[](node.next).prev = node.prev;  | 
|
| 2818 | 
		}  | 
|
| 2819 | 
		      while (!_first.empty() && _first.back() == INVALID) {
	 | 
|
| 2820 | 
		_first.pop_back();  | 
|
| 2821 | 
		}  | 
|
| 2822 | 
		}  | 
|
| 2823 | 
		 | 
|
| 2824 | 
		    void lace(const Key& key) {
	 | 
|
| 2825 | 
		typename Parent::Value& node = Parent::operator[](key);  | 
|
| 2826 | 
		if (node.value < 0) return;  | 
|
| 2827 | 
		      if (node.value >= int(_first.size())) {
	 | 
|
| 2828 | 
		_first.resize(node.value + 1, INVALID);  | 
|
| 2829 | 
		}  | 
|
| 2830 | 
		node.prev = INVALID;  | 
|
| 2831 | 
		node.next = _first[node.value];  | 
|
| 2832 | 
		      if (node.next != INVALID) {
	 | 
|
| 2833 | 
		Parent::operator[](node.next).prev = key;  | 
|
| 2834 | 
		}  | 
|
| 2835 | 
		_first[node.value] = key;  | 
|
| 2836 | 
		}  | 
|
| 2837 | 
		 | 
|
| 2838 | 
		public:  | 
|
| 2839 | 
		 | 
|
| 2840 | 
		/// Indicates that the map is reference map.  | 
|
| 2841 | 
		typedef True ReferenceMapTag;  | 
|
| 2842 | 
		 | 
|
| 2843 | 
		/// \brief Reference to the value of the map.  | 
|
| 2844 | 
		///  | 
|
| 2845 | 
		/// This class is similar to the \c int type. It can  | 
|
| 2846 | 
		/// be converted to \c int and it has the same operators.  | 
|
| 2847 | 
		    class Reference {
	 | 
|
| 2848 | 
		friend class IterableIntMap;  | 
|
| 2849 | 
		private:  | 
|
| 2850 | 
		Reference(IterableIntMap& map, const Key& key)  | 
|
| 2851 | 
		        : _key(key), _map(map) {}
	 | 
|
| 2852 | 
		public:  | 
|
| 2853 | 
		 | 
|
| 2854 | 
		      Reference& operator=(const Reference& value) {
	 | 
|
| 2855 | 
		_map.set(_key, static_cast<const int&>(value));  | 
|
| 2856 | 
		return *this;  | 
|
| 2857 | 
		}  | 
|
| 2858 | 
		 | 
|
| 2859 | 
		      operator const int&() const {
	 | 
|
| 2860 | 
		return static_cast<const IterableIntMap&>(_map)[_key];  | 
|
| 2861 | 
		}  | 
|
| 2862 | 
		 | 
|
| 2863 | 
		      Reference& operator=(int value) {
	 | 
|
| 2864 | 
		_map.set(_key, value);  | 
|
| 2865 | 
		return *this;  | 
|
| 2866 | 
		}  | 
|
| 2867 | 
		      Reference& operator++() {
	 | 
|
| 2868 | 
		_map.set(_key, _map[_key] + 1);  | 
|
| 2869 | 
		return *this;  | 
|
| 2870 | 
		}  | 
|
| 2871 | 
		      int operator++(int) {
	 | 
|
| 2872 | 
		int value = _map[_key];  | 
|
| 2873 | 
		_map.set(_key, value + 1);  | 
|
| 2874 | 
		return value;  | 
|
| 2875 | 
		}  | 
|
| 2876 | 
		      Reference& operator--() {
	 | 
|
| 2877 | 
		_map.set(_key, _map[_key] - 1);  | 
|
| 2878 | 
		return *this;  | 
|
| 2879 | 
		}  | 
|
| 2880 | 
		      int operator--(int) {
	 | 
|
| 2881 | 
		int value = _map[_key];  | 
|
| 2882 | 
		_map.set(_key, value - 1);  | 
|
| 2883 | 
		return value;  | 
|
| 2884 | 
		}  | 
|
| 2885 | 
		      Reference& operator+=(int value) {
	 | 
|
| 2886 | 
		_map.set(_key, _map[_key] + value);  | 
|
| 2887 | 
		return *this;  | 
|
| 2888 | 
		}  | 
|
| 2889 | 
		      Reference& operator-=(int value) {
	 | 
|
| 2890 | 
		_map.set(_key, _map[_key] - value);  | 
|
| 2891 | 
		return *this;  | 
|
| 2892 | 
		}  | 
|
| 2893 | 
		      Reference& operator*=(int value) {
	 | 
|
| 2894 | 
		_map.set(_key, _map[_key] * value);  | 
|
| 2895 | 
		return *this;  | 
|
| 2896 | 
		}  | 
|
| 2897 | 
		      Reference& operator/=(int value) {
	 | 
|
| 2898 | 
		_map.set(_key, _map[_key] / value);  | 
|
| 2899 | 
		return *this;  | 
|
| 2900 | 
		}  | 
|
| 2901 | 
		      Reference& operator%=(int value) {
	 | 
|
| 2902 | 
		_map.set(_key, _map[_key] % value);  | 
|
| 2903 | 
		return *this;  | 
|
| 2904 | 
		}  | 
|
| 2905 | 
		      Reference& operator&=(int value) {
	 | 
|
| 2906 | 
		_map.set(_key, _map[_key] & value);  | 
|
| 2907 | 
		return *this;  | 
|
| 2908 | 
		}  | 
|
| 2909 | 
		      Reference& operator|=(int value) {
	 | 
|
| 2910 | 
		_map.set(_key, _map[_key] | value);  | 
|
| 2911 | 
		return *this;  | 
|
| 2912 | 
		}  | 
|
| 2913 | 
		      Reference& operator^=(int value) {
	 | 
|
| 2914 | 
		_map.set(_key, _map[_key] ^ value);  | 
|
| 2915 | 
		return *this;  | 
|
| 2916 | 
		}  | 
|
| 2917 | 
		      Reference& operator<<=(int value) {
	 | 
|
| 2918 | 
		_map.set(_key, _map[_key] << value);  | 
|
| 2919 | 
		return *this;  | 
|
| 2920 | 
		}  | 
|
| 2921 | 
		      Reference& operator>>=(int value) {
	 | 
|
| 2922 | 
		_map.set(_key, _map[_key] >> value);  | 
|
| 2923 | 
		return *this;  | 
|
| 2924 | 
		}  | 
|
| 2925 | 
		 | 
|
| 2926 | 
		private:  | 
|
| 2927 | 
		Key _key;  | 
|
| 2928 | 
		IterableIntMap& _map;  | 
|
| 2929 | 
		};  | 
|
| 2930 | 
		 | 
|
| 2931 | 
		/// The const reference type.  | 
|
| 2932 | 
		typedef const Value& ConstReference;  | 
|
| 2933 | 
		 | 
|
| 2934 | 
		/// \brief Gives back the maximal value plus one.  | 
|
| 2935 | 
		///  | 
|
| 2936 | 
		/// Gives back the maximal value plus one.  | 
|
| 2937 | 
		    int size() const {
	 | 
|
| 2938 | 
		return _first.size();  | 
|
| 2939 | 
		}  | 
|
| 2940 | 
		 | 
|
| 2941 | 
		/// \brief Set operation of the map.  | 
|
| 2942 | 
		///  | 
|
| 2943 | 
		/// Set operation of the map.  | 
|
| 2944 | 
		    void set(const Key& key, const Value& value) {
	 | 
|
| 2945 | 
		unlace(key);  | 
|
| 2946 | 
		Parent::operator[](key).value = value;  | 
|
| 2947 | 
		lace(key);  | 
|
| 2948 | 
		}  | 
|
| 2949 | 
		 | 
|
| 2950 | 
		/// \brief Const subscript operator of the map.  | 
|
| 2951 | 
		///  | 
|
| 2952 | 
		/// Const subscript operator of the map.  | 
|
| 2953 | 
		    const Value& operator[](const Key& key) const {
	 | 
|
| 2954 | 
		return Parent::operator[](key).value;  | 
|
| 2955 | 
		}  | 
|
| 2956 | 
		 | 
|
| 2957 | 
		/// \brief Subscript operator of the map.  | 
|
| 2958 | 
		///  | 
|
| 2959 | 
		/// Subscript operator of the map.  | 
|
| 2960 | 
		    Reference operator[](const Key& key) {
	 | 
|
| 2961 | 
		return Reference(*this, key);  | 
|
| 2962 | 
		}  | 
|
| 2963 | 
		 | 
|
| 2964 | 
		/// \brief Iterator for the keys with the same value.  | 
|
| 2965 | 
		///  | 
|
| 2966 | 
		/// Iterator for the keys with the same value. It works  | 
|
| 2967 | 
		/// like a graph item iterator, it can be converted to  | 
|
| 2968 | 
		/// the item type of the map, incremented with \c ++ operator, and  | 
|
| 2969 | 
		/// if the iterator leaves the last valid item, it will be equal to  | 
|
| 2970 | 
		/// \c INVALID.  | 
|
| 2971 | 
		    class ItemIt : public Key {
	 | 
|
| 2972 | 
		public:  | 
|
| 2973 | 
		typedef Key Parent;  | 
|
| 2974 | 
		 | 
|
| 2975 | 
		/// \brief Invalid constructor \& conversion.  | 
|
| 2976 | 
		///  | 
|
| 2977 | 
		/// This constructor initializes the iterator to be invalid.  | 
|
| 2978 | 
		/// \sa Invalid for more details.  | 
|
| 2979 | 
		      ItemIt(Invalid) : Parent(INVALID), _map(0) {}
	 | 
|
| 2980 | 
		 | 
|
| 2981 | 
		/// \brief Creates an iterator with a value.  | 
|
| 2982 | 
		///  | 
|
| 2983 | 
		/// Creates an iterator with a value. It iterates on the  | 
|
| 2984 | 
		/// keys mapped to the given value.  | 
|
| 2985 | 
		/// \param map The IterableIntMap.  | 
|
| 2986 | 
		/// \param value The value.  | 
|
| 2987 | 
		      ItemIt(const IterableIntMap& map, int value) : _map(&map) {
	 | 
|
| 2988 | 
		        if (value < 0 || value >= int(_map->_first.size())) {
	 | 
|
| 2989 | 
		Parent::operator=(INVALID);  | 
|
| 2990 | 
		        } else {
	 | 
|
| 2991 | 
		Parent::operator=(_map->_first[value]);  | 
|
| 2992 | 
		}  | 
|
| 2993 | 
		}  | 
|
| 2994 | 
		 | 
|
| 2995 | 
		/// \brief Increment operator.  | 
|
| 2996 | 
		///  | 
|
| 2997 | 
		/// Increment operator.  | 
|
| 2998 | 
		      ItemIt& operator++() {
	 | 
|
| 2999 | 
		Parent::operator=(_map->IterableIntMap::Parent::  | 
|
| 3000 | 
		operator[](static_cast<Parent&>(*this)).next);  | 
|
| 3001 | 
		return *this;  | 
|
| 3002 | 
		}  | 
|
| 3003 | 
		 | 
|
| 3004 | 
		private:  | 
|
| 3005 | 
		const IterableIntMap* _map;  | 
|
| 3006 | 
		};  | 
|
| 3007 | 
		 | 
|
| 3008 | 
		protected:  | 
|
| 3009 | 
		 | 
|
| 3010 | 
		    virtual void erase(const Key& key) {
	 | 
|
| 3011 | 
		unlace(key);  | 
|
| 3012 | 
		Parent::erase(key);  | 
|
| 3013 | 
		}  | 
|
| 3014 | 
		 | 
|
| 3015 | 
		    virtual void erase(const std::vector<Key>& keys) {
	 | 
|
| 3016 | 
		      for (int i = 0; i < int(keys.size()); ++i) {
	 | 
|
| 3017 | 
		unlace(keys[i]);  | 
|
| 3018 | 
		}  | 
|
| 3019 | 
		Parent::erase(keys);  | 
|
| 3020 | 
		}  | 
|
| 3021 | 
		 | 
|
| 3022 | 
		    virtual void clear() {
	 | 
|
| 3023 | 
		_first.clear();  | 
|
| 3024 | 
		Parent::clear();  | 
|
| 3025 | 
		}  | 
|
| 3026 | 
		 | 
|
| 3027 | 
		private:  | 
|
| 3028 | 
		std::vector<Key> _first;  | 
|
| 3029 | 
		};  | 
|
| 3030 | 
		 | 
|
| 3031 | 
		  namespace _maps_bits {
	 | 
|
| 3032 | 
		template <typename Item, typename Value>  | 
|
| 3033 | 
		    struct IterableValueMapNode {
	 | 
|
| 3034 | 
		      IterableValueMapNode(Value _value = Value()) : value(_value) {}
	 | 
|
| 3035 | 
		Item prev, next;  | 
|
| 3036 | 
		Value value;  | 
|
| 3037 | 
		};  | 
|
| 3038 | 
		}  | 
|
| 3039 | 
		 | 
|
| 3040 | 
		/// \brief Dynamic iterable map for comparable values.  | 
|
| 3041 | 
		///  | 
|
| 3042 | 
		/// This class provides a special graph map type which can store a  | 
|
| 3043 | 
		/// comparable value for graph items (\c Node, \c Arc or \c Edge).  | 
|
| 3044 | 
		/// For each value it is possible to iterate on the keys mapped to  | 
|
| 3045 | 
		/// the value (\c ItemIt), and the values of the map can be accessed  | 
|
| 3046 | 
		/// with an STL compatible forward iterator (\c ValueIt).  | 
|
| 3047 | 
		/// The map stores a linked list for each value, which contains  | 
|
| 3048 | 
		/// the items mapped to the value, and the used values are stored  | 
|
| 3049 | 
		/// in balanced binary tree (\c std::map).  | 
|
| 3050 | 
		///  | 
|
| 3051 | 
		/// \ref IterableBoolMap and \ref IterableIntMap are similar classes  | 
|
| 3052 | 
		/// specialized for \c bool and \c int values, respectively.  | 
|
| 3053 | 
		///  | 
|
| 3054 | 
		/// This type is not reference map, so it cannot be modified with  | 
|
| 3055 | 
		/// the subscript operator.  | 
|
| 3056 | 
		///  | 
|
| 3057 | 
		/// \tparam GR The graph type.  | 
|
| 3058 | 
		/// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or  | 
|
| 3059 | 
		/// \c GR::Edge).  | 
|
| 3060 | 
		/// \tparam V The value type of the map. It can be any comparable  | 
|
| 3061 | 
		/// value type.  | 
|
| 3062 | 
		///  | 
|
| 3063 | 
		/// \see IterableBoolMap, IterableIntMap  | 
|
| 3064 | 
		/// \see CrossRefMap  | 
|
| 3065 | 
		template <typename GR, typename K, typename V>  | 
|
| 3066 | 
		class IterableValueMap  | 
|
| 3067 | 
		: protected ItemSetTraits<GR, K>::  | 
|
| 3068 | 
		        template Map<_maps_bits::IterableValueMapNode<K, V> >::Type {
	 | 
|
| 3069 | 
		public:  | 
|
| 3070 | 
		typedef typename ItemSetTraits<GR, K>::  | 
|
| 3071 | 
		template Map<_maps_bits::IterableValueMapNode<K, V> >::Type Parent;  | 
|
| 3072 | 
		 | 
|
| 3073 | 
		/// The key type  | 
|
| 3074 | 
		typedef K Key;  | 
|
| 3075 | 
		/// The value type  | 
|
| 3076 | 
		typedef V Value;  | 
|
| 3077 | 
		/// The graph type  | 
|
| 3078 | 
		typedef GR Graph;  | 
|
| 3079 | 
		 | 
|
| 3080 | 
		public:  | 
|
| 3081 | 
		 | 
|
| 3082 | 
		/// \brief Constructor of the map with a given value.  | 
|
| 3083 | 
		///  | 
|
| 3084 | 
		/// Constructor of the map with a given value.  | 
|
| 3085 | 
		explicit IterableValueMap(const Graph& graph,  | 
|
| 3086 | 
		const Value& value = Value())  | 
|
| 3087 | 
		      : Parent(graph, _maps_bits::IterableValueMapNode<K, V>(value)) {
	 | 
|
| 3088 | 
		      for (typename Parent::ItemIt it(*this); it != INVALID; ++it) {
	 | 
|
| 3089 | 
		lace(it);  | 
|
| 3090 | 
		}  | 
|
| 3091 | 
		}  | 
|
| 3092 | 
		 | 
|
| 3093 | 
		protected:  | 
|
| 3094 | 
		 | 
|
| 3095 | 
		    void unlace(const Key& key) {
	 | 
|
| 3096 | 
		typename Parent::Value& node = Parent::operator[](key);  | 
|
| 3097 | 
		      if (node.prev != INVALID) {
	 | 
|
| 3098 | 
		Parent::operator[](node.prev).next = node.next;  | 
|
| 3099 | 
		      } else {
	 | 
|
| 3100 | 
		        if (node.next != INVALID) {
	 | 
|
| 3101 | 
		_first[node.value] = node.next;  | 
|
| 3102 | 
		        } else {
	 | 
|
| 3103 | 
		_first.erase(node.value);  | 
|
| 3104 | 
		}  | 
|
| 3105 | 
		}  | 
|
| 3106 | 
		      if (node.next != INVALID) {
	 | 
|
| 3107 | 
		Parent::operator[](node.next).prev = node.prev;  | 
|
| 3108 | 
		}  | 
|
| 3109 | 
		}  | 
|
| 3110 | 
		 | 
|
| 3111 | 
		    void lace(const Key& key) {
	 | 
|
| 3112 | 
		typename Parent::Value& node = Parent::operator[](key);  | 
|
| 3113 | 
		typename std::map<Value, Key>::iterator it = _first.find(node.value);  | 
|
| 3114 | 
		      if (it == _first.end()) {
	 | 
|
| 3115 | 
		node.prev = node.next = INVALID;  | 
|
| 3116 | 
		_first.insert(std::make_pair(node.value, key));  | 
|
| 3117 | 
		      } else {
	 | 
|
| 3118 | 
		node.prev = INVALID;  | 
|
| 3119 | 
		node.next = it->second;  | 
|
| 3120 | 
		        if (node.next != INVALID) {
	 | 
|
| 3121 | 
		Parent::operator[](node.next).prev = key;  | 
|
| 3122 | 
		}  | 
|
| 3123 | 
		it->second = key;  | 
|
| 3124 | 
		}  | 
|
| 3125 | 
		}  | 
|
| 3126 | 
		 | 
|
| 3127 | 
		public:  | 
|
| 3128 | 
		 | 
|
| 3129 | 
		/// \brief Forward iterator for values.  | 
|
| 3130 | 
		///  | 
|
| 3131 | 
		/// This iterator is an STL compatible forward  | 
|
| 3132 | 
		/// iterator on the values of the map. The values can  | 
|
| 3133 | 
		/// be accessed in the <tt>[beginValue, endValue)</tt> range.  | 
|
| 3134 | 
		class ValueIt  | 
|
| 3135 | 
		      : public std::iterator<std::forward_iterator_tag, Value> {
	 | 
|
| 3136 | 
		friend class IterableValueMap;  | 
|
| 3137 | 
		private:  | 
|
| 3138 | 
		ValueIt(typename std::map<Value, Key>::const_iterator _it)  | 
|
| 3139 | 
		        : it(_it) {}
	 | 
|
| 3140 | 
		public:  | 
|
| 3141 | 
		 | 
|
| 3142 | 
		/// Constructor  | 
|
| 3143 | 
		      ValueIt() {}
	 | 
|
| 3144 | 
		 | 
|
| 3145 | 
		/// \e  | 
|
| 3146 | 
		      ValueIt& operator++() { ++it; return *this; }
	 | 
|
| 3147 | 
		/// \e  | 
|
| 3148 | 
		      ValueIt operator++(int) {
	 | 
|
| 3149 | 
		ValueIt tmp(*this);  | 
|
| 3150 | 
		operator++();  | 
|
| 3151 | 
		return tmp;  | 
|
| 3152 | 
		}  | 
|
| 3153 | 
		 | 
|
| 3154 | 
		/// \e  | 
|
| 3155 | 
		      const Value& operator*() const { return it->first; }
	 | 
|
| 3156 | 
		/// \e  | 
|
| 3157 | 
		      const Value* operator->() const { return &(it->first); }
	 | 
|
| 3158 | 
		 | 
|
| 3159 | 
		/// \e  | 
|
| 3160 | 
		      bool operator==(ValueIt jt) const { return it == jt.it; }
	 | 
|
| 3161 | 
		/// \e  | 
|
| 3162 | 
		      bool operator!=(ValueIt jt) const { return it != jt.it; }
	 | 
|
| 3163 | 
		 | 
|
| 3164 | 
		private:  | 
|
| 3165 | 
		typename std::map<Value, Key>::const_iterator it;  | 
|
| 3166 | 
		};  | 
|
| 3167 | 
		 | 
|
| 3168 | 
		/// \brief Returns an iterator to the first value.  | 
|
| 3169 | 
		///  | 
|
| 3170 | 
		/// Returns an STL compatible iterator to the  | 
|
| 3171 | 
		/// first value of the map. The values of the  | 
|
| 3172 | 
		/// map can be accessed in the <tt>[beginValue, endValue)</tt>  | 
|
| 3173 | 
		/// range.  | 
|
| 3174 | 
		    ValueIt beginValue() const {
	 | 
|
| 3175 | 
		return ValueIt(_first.begin());  | 
|
| 3176 | 
		}  | 
|
| 3177 | 
		 | 
|
| 3178 | 
		/// \brief Returns an iterator after the last value.  | 
|
| 3179 | 
		///  | 
|
| 3180 | 
		/// Returns an STL compatible iterator after the  | 
|
| 3181 | 
		/// last value of the map. The values of the  | 
|
| 3182 | 
		/// map can be accessed in the <tt>[beginValue, endValue)</tt>  | 
|
| 3183 | 
		/// range.  | 
|
| 3184 | 
		    ValueIt endValue() const {
	 | 
|
| 3185 | 
		return ValueIt(_first.end());  | 
|
| 3186 | 
		}  | 
|
| 3187 | 
		 | 
|
| 3188 | 
		/// \brief Set operation of the map.  | 
|
| 3189 | 
		///  | 
|
| 3190 | 
		/// Set operation of the map.  | 
|
| 3191 | 
		    void set(const Key& key, const Value& value) {
	 | 
|
| 3192 | 
		unlace(key);  | 
|
| 3193 | 
		Parent::operator[](key).value = value;  | 
|
| 3194 | 
		lace(key);  | 
|
| 3195 | 
		}  | 
|
| 3196 | 
		 | 
|
| 3197 | 
		/// \brief Const subscript operator of the map.  | 
|
| 3198 | 
		///  | 
|
| 3199 | 
		/// Const subscript operator of the map.  | 
|
| 3200 | 
		    const Value& operator[](const Key& key) const {
	 | 
|
| 3201 | 
		return Parent::operator[](key).value;  | 
|
| 3202 | 
		}  | 
|
| 3203 | 
		 | 
|
| 3204 | 
		/// \brief Iterator for the keys with the same value.  | 
|
| 3205 | 
		///  | 
|
| 3206 | 
		/// Iterator for the keys with the same value. It works  | 
|
| 3207 | 
		/// like a graph item iterator, it can be converted to  | 
|
| 3208 | 
		/// the item type of the map, incremented with \c ++ operator, and  | 
|
| 3209 | 
		/// if the iterator leaves the last valid item, it will be equal to  | 
|
| 3210 | 
		/// \c INVALID.  | 
|
| 3211 | 
		    class ItemIt : public Key {
	 | 
|
| 3212 | 
		public:  | 
|
| 3213 | 
		typedef Key Parent;  | 
|
| 3214 | 
		 | 
|
| 3215 | 
		/// \brief Invalid constructor \& conversion.  | 
|
| 3216 | 
		///  | 
|
| 3217 | 
		/// This constructor initializes the iterator to be invalid.  | 
|
| 3218 | 
		/// \sa Invalid for more details.  | 
|
| 3219 | 
		      ItemIt(Invalid) : Parent(INVALID), _map(0) {}
	 | 
|
| 3220 | 
		 | 
|
| 3221 | 
		/// \brief Creates an iterator with a value.  | 
|
| 3222 | 
		///  | 
|
| 3223 | 
		/// Creates an iterator with a value. It iterates on the  | 
|
| 3224 | 
		/// keys which have the given value.  | 
|
| 3225 | 
		/// \param map The IterableValueMap  | 
|
| 3226 | 
		/// \param value The value  | 
|
| 3227 | 
		      ItemIt(const IterableValueMap& map, const Value& value) : _map(&map) {
	 | 
|
| 3228 | 
		typename std::map<Value, Key>::const_iterator it =  | 
|
| 3229 | 
		map._first.find(value);  | 
|
| 3230 | 
		        if (it == map._first.end()) {
	 | 
|
| 3231 | 
		Parent::operator=(INVALID);  | 
|
| 3232 | 
		        } else {
	 | 
|
| 3233 | 
		Parent::operator=(it->second);  | 
|
| 3234 | 
		}  | 
|
| 3235 | 
		}  | 
|
| 3236 | 
		 | 
|
| 3237 | 
		/// \brief Increment operator.  | 
|
| 3238 | 
		///  | 
|
| 3239 | 
		/// Increment Operator.  | 
|
| 3240 | 
		      ItemIt& operator++() {
	 | 
|
| 3241 | 
		Parent::operator=(_map->IterableValueMap::Parent::  | 
|
| 3242 | 
		operator[](static_cast<Parent&>(*this)).next);  | 
|
| 3243 | 
		return *this;  | 
|
| 3244 | 
		}  | 
|
| 3245 | 
		 | 
|
| 3246 | 
		 | 
|
| 3247 | 
		private:  | 
|
| 3248 | 
		const IterableValueMap* _map;  | 
|
| 3249 | 
		};  | 
|
| 3250 | 
		 | 
|
| 3251 | 
		protected:  | 
|
| 3252 | 
		 | 
|
| 3253 | 
		    virtual void add(const Key& key) {
	 | 
|
| 3254 | 
		Parent::add(key);  | 
|
| 3255 | 
		unlace(key);  | 
|
| 3256 | 
		}  | 
|
| 3257 | 
		 | 
|
| 3258 | 
		    virtual void add(const std::vector<Key>& keys) {
	 | 
|
| 3259 | 
		Parent::add(keys);  | 
|
| 3260 | 
		      for (int i = 0; i < int(keys.size()); ++i) {
	 | 
|
| 3261 | 
		lace(keys[i]);  | 
|
| 3262 | 
		}  | 
|
| 3263 | 
		}  | 
|
| 3264 | 
		 | 
|
| 3265 | 
		    virtual void erase(const Key& key) {
	 | 
|
| 3266 | 
		unlace(key);  | 
|
| 3267 | 
		Parent::erase(key);  | 
|
| 3268 | 
		}  | 
|
| 3269 | 
		 | 
|
| 3270 | 
		    virtual void erase(const std::vector<Key>& keys) {
	 | 
|
| 3271 | 
		      for (int i = 0; i < int(keys.size()); ++i) {
	 | 
|
| 3272 | 
		unlace(keys[i]);  | 
|
| 3273 | 
		}  | 
|
| 3274 | 
		Parent::erase(keys);  | 
|
| 3275 | 
		}  | 
|
| 3276 | 
		 | 
|
| 3277 | 
		    virtual void build() {
	 | 
|
| 3278 | 
		Parent::build();  | 
|
| 3279 | 
		      for (typename Parent::ItemIt it(*this); it != INVALID; ++it) {
	 | 
|
| 3280 | 
		lace(it);  | 
|
| 3281 | 
		}  | 
|
| 3282 | 
		}  | 
|
| 3283 | 
		 | 
|
| 3284 | 
		    virtual void clear() {
	 | 
|
| 3285 | 
		_first.clear();  | 
|
| 3286 | 
		Parent::clear();  | 
|
| 3287 | 
		}  | 
|
| 3288 | 
		 | 
|
| 3289 | 
		private:  | 
|
| 3290 | 
		std::map<Value, Key> _first;  | 
|
| 3291 | 
		};  | 
|
| 3292 | 
		 | 
|
| 2333 | 3293 | 
		/// \brief Map of the source nodes of arcs in a digraph.  | 
| ... | ... | 
		@@ -2342,5 +3302,5 @@  | 
| 2342 | 3302 | 
		 | 
| 2343 | 
		///\  | 
|
| 3303 | 
		/// The key type (the \c Arc type of the digraph).  | 
|
| 2344 | 3304 | 
		typedef typename GR::Arc Key;  | 
| 2345 | 
		///\  | 
|
| 3305 | 
		/// The value type (the \c Node type of the digraph).  | 
|
| 2346 | 3306 | 
		typedef typename GR::Node Value;  | 
| ... | ... | 
		@@ -2383,5 +3343,5 @@  | 
| 2383 | 3343 | 
		 | 
| 2384 | 
		///\  | 
|
| 3344 | 
		/// The key type (the \c Arc type of the digraph).  | 
|
| 2385 | 3345 | 
		typedef typename GR::Arc Key;  | 
| 2386 | 
		///\  | 
|
| 3346 | 
		/// The value type (the \c Node type of the digraph).  | 
|
| 2387 | 3347 | 
		typedef typename GR::Node Value;  | 
| ... | ... | 
		@@ -2425,4 +3385,6 @@  | 
| 2425 | 3385 | 
		 | 
| 3386 | 
		/// The key type (the \c Edge type of the digraph).  | 
|
| 3387 | 
		typedef typename GR::Edge Key;  | 
|
| 3388 | 
		/// The value type (the \c Arc type of the digraph).  | 
|
| 2426 | 3389 | 
		typedef typename GR::Arc Value;  | 
| 2427 | 
		typedef typename GR::Edge Key;  | 
|
| 2428 | 3390 | 
		 | 
| ... | ... | 
		@@ -2465,4 +3427,6 @@  | 
| 2465 | 3427 | 
		 | 
| 3428 | 
		/// The key type (the \c Edge type of the digraph).  | 
|
| 3429 | 
		typedef typename GR::Edge Key;  | 
|
| 3430 | 
		/// The value type (the \c Arc type of the digraph).  | 
|
| 2466 | 3431 | 
		typedef typename GR::Arc Value;  | 
| 2467 | 
		typedef typename GR::Edge Key;  | 
|
| 2468 | 3432 | 
		 | 
| ... | ... | 
		@@ -2501,3 +3465,3 @@  | 
| 2501 | 3465 | 
		///  | 
| 2502 | 
		/// \warning Besides \c addNode() and \c addArc(), a digraph structure  | 
|
| 3466 | 
		/// \warning Besides \c addNode() and \c addArc(), a digraph structure  | 
|
| 2503 | 3467 | 
		/// may provide alternative ways to modify the digraph.  | 
| ... | ... | 
		@@ -2517,3 +3481,3 @@  | 
| 2517 | 3481 | 
		public:  | 
| 2518 | 
		 | 
|
| 3482 | 
		 | 
|
| 2519 | 3483 | 
		/// The graph type of InDegMap  | 
| ... | ... | 
		@@ -2631,3 +3595,3 @@  | 
| 2631 | 3595 | 
		///  | 
| 2632 | 
		/// \warning Besides \c addNode() and \c addArc(), a digraph structure  | 
|
| 3596 | 
		/// \warning Besides \c addNode() and \c addArc(), a digraph structure  | 
|
| 2633 | 3597 | 
		/// may provide alternative ways to modify the digraph.  | 
| ... | ... | 
		@@ -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().  | 
| ... | ... | 
		@@ -163,4 +163,2 @@  | 
| 163 | 163 | 
		 | 
| 164 | 
		typedef std::vector<Arc> ArcVector;  | 
|
| 165 | 
		typedef std::vector<Node> NodeVector;  | 
|
| 166 | 164 | 
		typedef std::vector<int> IntVector;  | 
| ... | ... | 
		@@ -366,3 +364,3 @@  | 
| 366 | 364 | 
		int cnt = _block_size;  | 
| 367 | 
		int e  | 
|
| 365 | 
		int e;  | 
|
| 368 | 366 | 
		        for (e = _next_arc; e < _search_arc_num; ++e) {
	 | 
| ... | ... | 
		@@ -371,6 +369,6 @@  | 
| 371 | 369 | 
		min = c;  | 
| 372 | 
		
  | 
|
| 370 | 
		_in_arc = e;  | 
|
| 373 | 371 | 
		}  | 
| 374 | 372 | 
		          if (--cnt == 0) {
	 | 
| 375 | 
		if (min < 0)  | 
|
| 373 | 
		if (min < 0) goto search_end;  | 
|
| 376 | 374 | 
		cnt = _block_size;  | 
| ... | ... | 
		@@ -378,13 +376,11 @@  | 
| 378 | 376 | 
		}  | 
| 379 | 
		        if (min == 0 || cnt > 0) {
	 | 
|
| 380 | 
		          for (e = 0; e < _next_arc; ++e) {
	 | 
|
| 381 | 
		c = _state[e] * (_cost[e] + _pi[_source[e]] - _pi[_target[e]]);  | 
|
| 382 | 
		            if (c < min) {
	 | 
|
| 383 | 
		min = c;  | 
|
| 384 | 
		min_arc = e;  | 
|
| 385 | 
		}  | 
|
| 386 | 
		            if (--cnt == 0) {
	 | 
|
| 387 | 
		if (min < 0) break;  | 
|
| 388 | 
		cnt = _block_size;  | 
|
| 389 | 
		
  | 
|
| 377 | 
		        for (e = 0; e < _next_arc; ++e) {
	 | 
|
| 378 | 
		c = _state[e] * (_cost[e] + _pi[_source[e]] - _pi[_target[e]]);  | 
|
| 379 | 
		          if (c < min) {
	 | 
|
| 380 | 
		min = c;  | 
|
| 381 | 
		_in_arc = e;  | 
|
| 382 | 
		}  | 
|
| 383 | 
		          if (--cnt == 0) {
	 | 
|
| 384 | 
		if (min < 0) goto search_end;  | 
|
| 385 | 
		cnt = _block_size;  | 
|
| 390 | 386 | 
		}  | 
| ... | ... | 
		@@ -392,3 +388,4 @@  | 
| 392 | 388 | 
		if (min >= 0) return false;  | 
| 393 | 
		
  | 
|
| 389 | 
		 | 
|
| 390 | 
		search_end:  | 
|
| 394 | 391 | 
		_next_arc = e;  | 
| ... | ... | 
		@@ -430,3 +427,3 @@  | 
| 430 | 427 | 
		// The main parameters of the pivot rule  | 
| 431 | 
		const double LIST_LENGTH_FACTOR =  | 
|
| 428 | 
		const double LIST_LENGTH_FACTOR = 0.25;  | 
|
| 432 | 429 | 
		const int MIN_LIST_LENGTH = 10;  | 
| ... | ... | 
		@@ -447,3 +444,3 @@  | 
| 447 | 444 | 
		Cost min, c;  | 
| 448 | 
		int e  | 
|
| 445 | 
		int e;  | 
|
| 449 | 446 | 
		        if (_curr_length > 0 && _minor_count < _minor_limit) {
	 | 
| ... | ... | 
		@@ -458,5 +455,5 @@  | 
| 458 | 455 | 
		min = c;  | 
| 459 | 
		
  | 
|
| 456 | 
		_in_arc = e;  | 
|
| 460 | 457 | 
		}  | 
| 461 | 
		            if (c >= 0) {
	 | 
|
| 458 | 
		            else if (c >= 0) {
	 | 
|
| 462 | 459 | 
		_candidates[i--] = _candidates[--_curr_length];  | 
| ... | ... | 
		@@ -464,6 +461,3 @@  | 
| 464 | 461 | 
		}  | 
| 465 | 
		          if (min < 0) {
	 | 
|
| 466 | 
		_in_arc = min_arc;  | 
|
| 467 | 
		return true;  | 
|
| 468 | 
		}  | 
|
| 462 | 
		if (min < 0) return true;  | 
|
| 469 | 463 | 
		}  | 
| ... | ... | 
		@@ -479,18 +473,16 @@  | 
| 479 | 473 | 
		min = c;  | 
| 480 | 
		
  | 
|
| 474 | 
		_in_arc = e;  | 
|
| 481 | 475 | 
		}  | 
| 482 | 
		if (_curr_length == _list_length)  | 
|
| 476 | 
		if (_curr_length == _list_length) goto search_end;  | 
|
| 483 | 477 | 
		}  | 
| 484 | 478 | 
		}  | 
| 485 | 
		        if (_curr_length < _list_length) {
	 | 
|
| 486 | 
		          for (e = 0; e < _next_arc; ++e) {
	 | 
|
| 487 | 
		c = _state[e] * (_cost[e] + _pi[_source[e]] - _pi[_target[e]]);  | 
|
| 488 | 
		            if (c < 0) {
	 | 
|
| 489 | 
		_candidates[_curr_length++] = e;  | 
|
| 490 | 
		              if (c < min) {
	 | 
|
| 491 | 
		min = c;  | 
|
| 492 | 
		min_arc = e;  | 
|
| 493 | 
		}  | 
|
| 494 | 
		if (_curr_length == _list_length) break;  | 
|
| 479 | 
		        for (e = 0; e < _next_arc; ++e) {
	 | 
|
| 480 | 
		c = _state[e] * (_cost[e] + _pi[_source[e]] - _pi[_target[e]]);  | 
|
| 481 | 
		          if (c < 0) {
	 | 
|
| 482 | 
		_candidates[_curr_length++] = e;  | 
|
| 483 | 
		            if (c < min) {
	 | 
|
| 484 | 
		min = c;  | 
|
| 485 | 
		_in_arc = e;  | 
|
| 495 | 486 | 
		}  | 
| 487 | 
		if (_curr_length == _list_length) goto search_end;  | 
|
| 496 | 488 | 
		}  | 
| ... | ... | 
		@@ -498,4 +490,5 @@  | 
| 498 | 490 | 
		if (_curr_length == 0) return false;  | 
| 491 | 
		 | 
|
| 492 | 
		search_end:  | 
|
| 499 | 493 | 
		_minor_count = 1;  | 
| 500 | 
		_in_arc = min_arc;  | 
|
| 501 | 494 | 
		_next_arc = e;  | 
| ... | ... | 
		@@ -551,3 +544,3 @@  | 
| 551 | 544 | 
		// The main parameters of the pivot rule  | 
| 552 | 
		const double BLOCK_SIZE_FACTOR = 1.  | 
|
| 545 | 
		const double BLOCK_SIZE_FACTOR = 1.0;  | 
|
| 553 | 546 | 
		const int MIN_BLOCK_SIZE = 10;  | 
| ... | ... | 
		@@ -580,6 +573,5 @@  | 
| 580 | 573 | 
		int cnt = _block_size;  | 
| 581 | 
		int last_arc = 0;  | 
|
| 582 | 574 | 
		int limit = _head_length;  | 
| 583 | 575 | 
		 | 
| 584 | 
		for (  | 
|
| 576 | 
		        for (e = _next_arc; e < _search_arc_num; ++e) {
	 | 
|
| 585 | 577 | 
		_cand_cost[e] = _state[e] *  | 
| ... | ... | 
		@@ -588,6 +580,5 @@  | 
| 588 | 580 | 
		_candidates[_curr_length++] = e;  | 
| 589 | 
		last_arc = e;  | 
|
| 590 | 581 | 
		}  | 
| 591 | 582 | 
		          if (--cnt == 0) {
	 | 
| 592 | 
		if (_curr_length > limit)  | 
|
| 583 | 
		if (_curr_length > limit) goto search_end;  | 
|
| 593 | 584 | 
		limit = 0;  | 
| ... | ... | 
		@@ -596,15 +587,12 @@  | 
| 596 | 587 | 
		}  | 
| 597 | 
		        if (_curr_length <= limit) {
	 | 
|
| 598 | 
		          for (int e = 0; e < _next_arc; ++e) {
	 | 
|
| 599 | 
		_cand_cost[e] = _state[e] *  | 
|
| 600 | 
		(_cost[e] + _pi[_source[e]] - _pi[_target[e]]);  | 
|
| 601 | 
		            if (_cand_cost[e] < 0) {
	 | 
|
| 602 | 
		_candidates[_curr_length++] = e;  | 
|
| 603 | 
		last_arc = e;  | 
|
| 604 | 
		}  | 
|
| 605 | 
		            if (--cnt == 0) {
	 | 
|
| 606 | 
		if (_curr_length > limit) break;  | 
|
| 607 | 
		limit = 0;  | 
|
| 608 | 
		cnt = _block_size;  | 
|
| 609 | 
		
  | 
|
| 588 | 
		        for (e = 0; e < _next_arc; ++e) {
	 | 
|
| 589 | 
		_cand_cost[e] = _state[e] *  | 
|
| 590 | 
		(_cost[e] + _pi[_source[e]] - _pi[_target[e]]);  | 
|
| 591 | 
		          if (_cand_cost[e] < 0) {
	 | 
|
| 592 | 
		_candidates[_curr_length++] = e;  | 
|
| 593 | 
		}  | 
|
| 594 | 
		          if (--cnt == 0) {
	 | 
|
| 595 | 
		if (_curr_length > limit) goto search_end;  | 
|
| 596 | 
		limit = 0;  | 
|
| 597 | 
		cnt = _block_size;  | 
|
| 610 | 598 | 
		}  | 
| ... | ... | 
		@@ -612,3 +600,4 @@  | 
| 612 | 600 | 
		if (_curr_length == 0) return false;  | 
| 613 | 
		
  | 
|
| 601 | 
		 | 
|
| 602 | 
		search_end:  | 
|
| 614 | 603 | 
		 | 
| ... | ... | 
		@@ -620,2 +609,3 @@  | 
| 620 | 609 | 
		_in_arc = _candidates[0];  | 
| 610 | 
		_next_arc = e;  | 
|
| 621 | 611 | 
		pop_heap( _candidates.begin(), _candidates.begin() + _curr_length,  | 
| ... | ... | 
		@@ -635,3 +625,7 @@  | 
| 635 | 625 | 
		/// \param graph The digraph the algorithm runs on.  | 
| 636 | 
		
  | 
|
| 626 | 
		/// \param arc_mixing Indicate if the arcs have to be stored in a  | 
|
| 627 | 
		/// mixed order in the internal data structure.  | 
|
| 628 | 
		/// In special cases, it could lead to better overall performance,  | 
|
| 629 | 
		/// but it is usually slower. Therefore it is disabled by default.  | 
|
| 630 | 
		NetworkSimplex(const GR& graph, bool arc_mixing = false) :  | 
|
| 637 | 631 | 
		_graph(graph), _node_id(graph), _arc_id(graph),  | 
| ... | ... | 
		@@ -673,3 +667,3 @@  | 
| 673 | 667 | 
		 | 
| 674 | 
		// Copy the graph  | 
|
| 668 | 
		// Copy the graph  | 
|
| 675 | 669 | 
		int i = 0;  | 
| ... | ... | 
		@@ -678,22 +672,24 @@  | 
| 678 | 672 | 
		}  | 
| 679 | 
		int k = std::max(int(std::sqrt(double(_arc_num))), 10);  | 
|
| 680 | 
		i = 0;  | 
|
| 681 | 
		      for (ArcIt a(_graph); a != INVALID; ++a) {
	 | 
|
| 682 | 
		_arc_id[a] = i;  | 
|
| 683 | 
		_source[i] = _node_id[_graph.source(a)];  | 
|
| 684 | 
		_target[i] = _node_id[_graph.target(a)];  | 
|
| 685 | 
		
  | 
|
| 673 | 
		      if (arc_mixing) {
	 | 
|
| 674 | 
		// Store the arcs in a mixed order  | 
|
| 675 | 
		int k = std::max(int(std::sqrt(double(_arc_num))), 10);  | 
|
| 676 | 
		int i = 0, j = 0;  | 
|
| 677 | 
		        for (ArcIt a(_graph); a != INVALID; ++a) {
	 | 
|
| 678 | 
		_arc_id[a] = i;  | 
|
| 679 | 
		_source[i] = _node_id[_graph.source(a)];  | 
|
| 680 | 
		_target[i] = _node_id[_graph.target(a)];  | 
|
| 681 | 
		if ((i += k) >= _arc_num) i = ++j;  | 
|
| 682 | 
		}  | 
|
| 683 | 
		      } else {
	 | 
|
| 684 | 
		// Store the arcs in the original order  | 
|
| 685 | 
		int i = 0;  | 
|
| 686 | 
		        for (ArcIt a(_graph); a != INVALID; ++a, ++i) {
	 | 
|
| 687 | 
		_arc_id[a] = i;  | 
|
| 688 | 
		_source[i] = _node_id[_graph.source(a)];  | 
|
| 689 | 
		_target[i] = _node_id[_graph.target(a)];  | 
|
| 690 | 
		}  | 
|
| 686 | 691 | 
		}  | 
| 687 | 692 | 
		 | 
| 688 | 
		// Initialize maps  | 
|
| 689 | 
		      for (int i = 0; i != _node_num; ++i) {
	 | 
|
| 690 | 
		_supply[i] = 0;  | 
|
| 691 | 
		}  | 
|
| 692 | 
		      for (int i = 0; i != _arc_num; ++i) {
	 | 
|
| 693 | 
		_lower[i] = 0;  | 
|
| 694 | 
		_upper[i] = INF;  | 
|
| 695 | 
		_cost[i] = 1;  | 
|
| 696 | 
		}  | 
|
| 697 | 
		_have_lower = false;  | 
|
| 698 | 
		
  | 
|
| 693 | 
		// Reset parameters  | 
|
| 694 | 
		reset();  | 
|
| 699 | 695 | 
		}  | 
| ... | ... | 
		@@ -770,3 +766,2 @@  | 
| 770 | 766 | 
		/// calling \ref run(), the supply of each node will be set to zero.  | 
| 771 | 
		/// (It makes sense only if non-zero lower bounds are given.)  | 
|
| 772 | 767 | 
		///  | 
| ... | ... | 
		@@ -791,3 +786,2 @@  | 
| 791 | 786 | 
		/// calling \ref run(), the supply of each node will be set to zero.  | 
| 792 | 
		/// (It makes sense only if non-zero lower bounds are given.)  | 
|
| 793 | 787 | 
		///  | 
| ... | ... | 
		@@ -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.  | 
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