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/* -*- C++ -*-
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 *
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 * This file is a part of LEMON, a generic C++ optimization library
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 *
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 * Copyright (C) 2003-2008
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 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
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 * (Egervary Research Group on Combinatorial Optimization, EGRES).
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 *
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 * Permission to use, modify and distribute this software is granted
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 * provided that this copyright notice appears in all copies. For
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 * precise terms see the accompanying LICENSE file.
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 *
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 * This software is provided "AS IS" with no warranty of any kind,
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 * express or implied, and with no claim as to its suitability for any
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 * purpose.
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 *
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 */
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#ifndef LEMON_BELLMAN_FORD_H
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#define LEMON_BELLMAN_FORD_H
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/// \ingroup shortest_path
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/// \file
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/// \brief Bellman-Ford algorithm.
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#include <lemon/bits/path_dump.h>
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#include <lemon/core.h>
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#include <lemon/error.h>
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#include <lemon/maps.h>
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#include <lemon/path.h>
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#include <limits>
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namespace lemon {
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  /// \brief Default OperationTraits for the BellmanFord algorithm class.
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  ///  
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  /// This operation traits class defines all computational operations
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  /// and constants that are used in the Bellman-Ford algorithm.
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  /// The default implementation is based on the \c numeric_limits class.
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  /// If the numeric type does not have infinity value, then the maximum
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  /// value is used as extremal infinity value.
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  template <
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    typename V, 
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    bool has_inf = std::numeric_limits<V>::has_infinity>
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  struct BellmanFordDefaultOperationTraits {
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    /// \e
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    typedef V Value;
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    /// \brief Gives back the zero value of the type.
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    static Value zero() {
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      return static_cast<Value>(0);
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    }
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    /// \brief Gives back the positive infinity value of the type.
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    static Value infinity() {
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      return std::numeric_limits<Value>::infinity();
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    }
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    /// \brief Gives back the sum of the given two elements.
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    static Value plus(const Value& left, const Value& right) {
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      return left + right;
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    }
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    /// \brief Gives back \c true only if the first value is less than
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    /// the second.
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    static bool less(const Value& left, const Value& right) {
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      return left < right;
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    }
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  };
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  template <typename V>
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  struct BellmanFordDefaultOperationTraits<V, false> {
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    typedef V Value;
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    static Value zero() {
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      return static_cast<Value>(0);
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    }
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    static Value infinity() {
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      return std::numeric_limits<Value>::max();
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    }
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    static Value plus(const Value& left, const Value& right) {
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      if (left == infinity() || right == infinity()) return infinity();
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      return left + right;
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    }
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    static bool less(const Value& left, const Value& right) {
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      return left < right;
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    }
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  };
85
  
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  /// \brief Default traits class of BellmanFord class.
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  ///
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  /// Default traits class of BellmanFord class.
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  /// \param GR The type of the digraph.
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  /// \param LEN The type of the length map.
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  template<typename GR, typename LEN>
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  struct BellmanFordDefaultTraits {
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    /// The type of the digraph the algorithm runs on. 
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    typedef GR Digraph;
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96
    /// \brief The type of the map that stores the arc lengths.
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    ///
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    /// The type of the map that stores the arc lengths.
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    /// It must conform to the \ref concepts::ReadMap "ReadMap" concept.
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    typedef LEN LengthMap;
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102
    /// The type of the arc lengths.
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    typedef typename LEN::Value Value;
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105
    /// \brief Operation traits for Bellman-Ford algorithm.
106
    ///
107
    /// It defines the used operations and the infinity value for the
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    /// given \c Value type.
109
    /// \see BellmanFordDefaultOperationTraits
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    typedef BellmanFordDefaultOperationTraits<Value> OperationTraits;
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112
    /// \brief The type of the map that stores the last arcs of the 
113
    /// shortest paths.
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    /// 
115
    /// The type of the map that stores the last
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    /// arcs of the shortest paths.
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    /// It must conform to the \ref concepts::WriteMap "WriteMap" concept.
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    typedef typename GR::template NodeMap<typename GR::Arc> PredMap;
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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
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    /// \ref PredMap.
125
    static PredMap *createPredMap(const GR& g) {
126
      return new PredMap(g);
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    }
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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;
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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.
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
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.
192
    typedef typename TR::PredMap PredMap;
193
    /// \brief The type of the map that stores the distances of the nodes.
194
    typedef typename TR::DistMap DistMap;
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;
203

	
204
  private:
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.
212
    const Digraph *_gr;
213
    // Pointer to the length map
214
    const LengthMap *_length;
215
    // Pointer to the map of predecessors arcs.
216
    PredMap *_pred;
217
    // Indicates if _pred is locally allocated (true) or not.
218
    bool _local_pred;
219
    // Pointer to the map of distances.
220
    DistMap *_dist;
221
    // Indicates if _dist is locally allocated (true) or not.
222
    bool _local_dist;
223

	
224
    typedef typename Digraph::template NodeMap<bool> MaskMap;
225
    MaskMap *_mask;
226

	
227
    std::vector<Node> _process;
228

	
229
    // Creates the maps if necessary.
230
    void create_maps() {
231
      if(!_pred) {
232
	_local_pred = true;
233
	_pred = Traits::createPredMap(*_gr);
234
      }
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 = &map;
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 = &map;
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 = &map;
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

	
Show white space 4 line context
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

	
Show white space 4 line context
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
Show white space 4 line context
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
Show white space 4 line context
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

	
Show white space 4 line context
1
/* -*- mode: C++; indent-tabs-mode: nil; -*-
2
 *
3
 * This file is a part of LEMON, a generic C++ optimization library.
4
 *
5
 * Copyright (C) 2003-2009
6
 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
7
 * (Egervary Research Group on Combinatorial Optimization, EGRES).
8
 *
9
 * Permission to use, modify and distribute this software is granted
10
 * provided that this copyright notice appears in all copies. For
11
 * precise terms see the accompanying LICENSE file.
12
 *
13
 * This software is provided "AS IS" with no warranty of any kind,
14
 * express or implied, and with no claim as to its suitability for any
15
 * purpose.
16
 *
17
 */
18

	
19
#include <lemon/concepts/digraph.h>
20
#include <lemon/smart_graph.h>
21
#include <lemon/list_graph.h>
22
#include <lemon/lgf_reader.h>
23
#include <lemon/bellman_ford.h>
24
#include <lemon/path.h>
25

	
26
#include "graph_test.h"
27
#include "test_tools.h"
28

	
29
using namespace lemon;
30

	
31
char test_lgf[] =
32
  "@nodes\n"
33
  "label\n"
34
  "0\n"
35
  "1\n"
36
  "2\n"
37
  "3\n"
38
  "4\n"
39
  "@arcs\n"
40
  "    length\n"
41
  "0 1 3\n"
42
  "1 2 -3\n"
43
  "1 2 -5\n"
44
  "1 3 -2\n"
45
  "0 2 -1\n"
46
  "1 2 -4\n"
47
  "0 3 2\n"
48
  "4 2 -5\n"
49
  "2 3 1\n"
50
  "@attributes\n"
51
  "source 0\n"
52
  "target 3\n";
53

	
54

	
55
void checkBellmanFordCompile()
56
{
57
  typedef int Value;
58
  typedef concepts::Digraph Digraph;
59
  typedef concepts::ReadMap<Digraph::Arc,Value> LengthMap;
60
  typedef BellmanFord<Digraph, LengthMap> BF;
61
  typedef Digraph::Node Node;
62
  typedef Digraph::Arc Arc;
63

	
64
  Digraph gr;
65
  Node s, t, n;
66
  Arc e;
67
  Value l;
68
  int k;
69
  bool b;
70
  BF::DistMap d(gr);
71
  BF::PredMap p(gr);
72
  LengthMap length;
73
  concepts::Path<Digraph> pp;
74

	
75
  {
76
    BF bf_test(gr,length);
77
    const BF& const_bf_test = bf_test;
78

	
79
    bf_test.run(s);
80
    bf_test.run(s,k);
81

	
82
    bf_test.init();
83
    bf_test.addSource(s);
84
    bf_test.addSource(s, 1);
85
    b = bf_test.processNextRound();
86
    b = bf_test.processNextWeakRound();
87

	
88
    bf_test.start();
89
    bf_test.checkedStart();
90
    bf_test.limitedStart(k);
91

	
92
    l  = const_bf_test.dist(t);
93
    e  = const_bf_test.predArc(t);
94
    s  = const_bf_test.predNode(t);
95
    b  = const_bf_test.reached(t);
96
    d  = const_bf_test.distMap();
97
    p  = const_bf_test.predMap();
98
    pp = const_bf_test.path(t);
99
    
100
    for (BF::ActiveIt it(const_bf_test); it != INVALID; ++it) {}
101
  }
102
  {
103
    BF::SetPredMap<concepts::ReadWriteMap<Node,Arc> >
104
      ::SetDistMap<concepts::ReadWriteMap<Node,Value> >
105
      ::SetOperationTraits<BellmanFordDefaultOperationTraits<Value> >
106
      ::Create bf_test(gr,length);
107

	
108
    LengthMap length_map;
109
    concepts::ReadWriteMap<Node,Arc> pred_map;
110
    concepts::ReadWriteMap<Node,Value> dist_map;
111
    
112
    bf_test
113
      .lengthMap(length_map)
114
      .predMap(pred_map)
115
      .distMap(dist_map);
116

	
117
    bf_test.run(s);
118
    bf_test.run(s,k);
119

	
120
    bf_test.init();
121
    bf_test.addSource(s);
122
    bf_test.addSource(s, 1);
123
    b = bf_test.processNextRound();
124
    b = bf_test.processNextWeakRound();
125

	
126
    bf_test.start();
127
    bf_test.checkedStart();
128
    bf_test.limitedStart(k);
129

	
130
    l  = bf_test.dist(t);
131
    e  = bf_test.predArc(t);
132
    s  = bf_test.predNode(t);
133
    b  = bf_test.reached(t);
134
    pp = bf_test.path(t);
135
  }
136
}
137

	
138
void checkBellmanFordFunctionCompile()
139
{
140
  typedef int Value;
141
  typedef concepts::Digraph Digraph;
142
  typedef Digraph::Arc Arc;
143
  typedef Digraph::Node Node;
144
  typedef concepts::ReadMap<Digraph::Arc,Value> LengthMap;
145

	
146
  Digraph g;
147
  bool b;
148
  bellmanFord(g,LengthMap()).run(Node());
149
  b = bellmanFord(g,LengthMap()).run(Node(),Node());
150
  bellmanFord(g,LengthMap())
151
    .predMap(concepts::ReadWriteMap<Node,Arc>())
152
    .distMap(concepts::ReadWriteMap<Node,Value>())
153
    .run(Node());
154
  b=bellmanFord(g,LengthMap())
155
    .predMap(concepts::ReadWriteMap<Node,Arc>())
156
    .distMap(concepts::ReadWriteMap<Node,Value>())
157
    .path(concepts::Path<Digraph>())
158
    .dist(Value())
159
    .run(Node(),Node());
160
}
161

	
162

	
163
template <typename Digraph, typename Value>
164
void checkBellmanFord() {
165
  TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
166
  typedef typename Digraph::template ArcMap<Value> LengthMap;
167

	
168
  Digraph gr;
169
  Node s, t;
170
  LengthMap length(gr);
171

	
172
  std::istringstream input(test_lgf);
173
  digraphReader(gr, input).
174
    arcMap("length", length).
175
    node("source", s).
176
    node("target", t).
177
    run();
178

	
179
  BellmanFord<Digraph, LengthMap>
180
    bf(gr, length);
181
  bf.run(s);
182
  Path<Digraph> p = bf.path(t);
183

	
184
  check(bf.reached(t) && bf.dist(t) == -1, "Bellman-Ford found a wrong path.");
185
  check(p.length() == 3, "path() found a wrong path.");
186
  check(checkPath(gr, p), "path() found a wrong path.");
187
  check(pathSource(gr, p) == s, "path() found a wrong path.");
188
  check(pathTarget(gr, p) == t, "path() found a wrong path.");
189
  
190
  ListPath<Digraph> path;
191
  Value dist;
192
  bool reached = bellmanFord(gr,length).path(path).dist(dist).run(s,t);
193

	
194
  check(reached && dist == -1, "Bellman-Ford found a wrong path.");
195
  check(path.length() == 3, "path() found a wrong path.");
196
  check(checkPath(gr, path), "path() found a wrong path.");
197
  check(pathSource(gr, path) == s, "path() found a wrong path.");
198
  check(pathTarget(gr, path) == t, "path() found a wrong path.");
199

	
200
  for(ArcIt e(gr); e!=INVALID; ++e) {
201
    Node u=gr.source(e);
202
    Node v=gr.target(e);
203
    check(!bf.reached(u) || (bf.dist(v) - bf.dist(u) <= length[e]),
204
          "Wrong output. dist(target)-dist(source)-arc_length=" <<
205
          bf.dist(v) - bf.dist(u) - length[e]);
206
  }
207

	
208
  for(NodeIt v(gr); v!=INVALID; ++v) {
209
    if (bf.reached(v)) {
210
      check(v==s || bf.predArc(v)!=INVALID, "Wrong tree.");
211
      if (bf.predArc(v)!=INVALID ) {
212
        Arc e=bf.predArc(v);
213
        Node u=gr.source(e);
214
        check(u==bf.predNode(v),"Wrong tree.");
215
        check(bf.dist(v) - bf.dist(u) == length[e],
216
              "Wrong distance! Difference: " <<
217
              bf.dist(v) - bf.dist(u) - length[e]);
218
      }
219
    }
220
  }
221
}
222

	
223
void checkBellmanFordNegativeCycle() {
224
  DIGRAPH_TYPEDEFS(SmartDigraph);
225

	
226
  SmartDigraph gr;
227
  IntArcMap length(gr);
228
  
229
  Node n1 = gr.addNode();
230
  Node n2 = gr.addNode();
231
  Node n3 = gr.addNode();
232
  Node n4 = gr.addNode();
233
  
234
  Arc a1 = gr.addArc(n1, n2);
235
  Arc a2 = gr.addArc(n2, n2);
236
  
237
  length[a1] = 2;
238
  length[a2] = -1;
239
  
240
  {
241
    BellmanFord<SmartDigraph, IntArcMap> bf(gr, length);
242
    bf.run(n1);
243
    StaticPath<SmartDigraph> p = bf.negativeCycle();
244
    check(p.length() == 1 && p.front() == p.back() && p.front() == a2,
245
          "Wrong negative cycle.");
246
  }
247
 
248
  length[a2] = 0;
249
  
250
  {
251
    BellmanFord<SmartDigraph, IntArcMap> bf(gr, length);
252
    bf.run(n1);
253
    check(bf.negativeCycle().empty(),
254
          "Negative cycle should not be found.");
255
  }
256
  
257
  length[gr.addArc(n1, n3)] = 5;
258
  length[gr.addArc(n4, n3)] = 1;
259
  length[gr.addArc(n2, n4)] = 2;
260
  length[gr.addArc(n3, n2)] = -4;
261
  
262
  {
263
    BellmanFord<SmartDigraph, IntArcMap> bf(gr, length);
264
    bf.init();
265
    bf.addSource(n1);
266
    for (int i = 0; i < 4; ++i) {
267
      check(bf.negativeCycle().empty(),
268
            "Negative cycle should not be found.");
269
      bf.processNextRound();
270
    }
271
    StaticPath<SmartDigraph> p = bf.negativeCycle();
272
    check(p.length() == 3, "Wrong negative cycle.");
273
    check(length[p.nth(0)] + length[p.nth(1)] + length[p.nth(2)] == -1,
274
          "Wrong negative cycle.");
275
  }
276
}
277

	
278
int main() {
279
  checkBellmanFord<ListDigraph, int>();
280
  checkBellmanFord<SmartDigraph, double>();
281
  checkBellmanFordNegativeCycle();
282
  return 0;
283
}
Show white space 4 line context
... ...
@@ -227,12 +227,4 @@
227 227

	
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
238 230
@ingroup datas
... ...
@@ -247,5 +239,34 @@
247 239
any kind of path structure.
248 240

	
249
\sa lemon::concepts::Path
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
*/
251 272

	
... ...
@@ -260,4 +281,26 @@
260 281

	
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
263 306
\brief This group contains the several algorithms
... ...
@@ -299,4 +342,13 @@
299 342

	
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
302 354
@ingroup algs
... ...
@@ -376,5 +428,5 @@
376 428

	
377 429
\f[ \min_{X \subset V, X\not\in \{\emptyset, V\}}
378
    \sum_{uv\in A, u\in X, v\not\in X}cap(uv) \f]
430
    \sum_{uv\in A: u\in X, v\not\in X}cap(uv) \f]
379 431

	
380 432
LEMON contains several algorithms related to minimum cut problems:
... ...
@@ -392,28 +444,4 @@
392 444

	
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
419 447
@ingroup algs
... ...
@@ -456,10 +484,34 @@
456 484

	
457 485
/**
458
@defgroup spantree Minimum Spanning Tree Algorithms
486
@defgroup graph_properties Connectivity and Other Graph Properties
459 487
@ingroup algs
460
\brief Algorithms for finding minimum cost spanning trees and arborescences.
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
*/
465 517

	
... ...
@@ -474,13 +526,4 @@
474 526

	
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
486 529
\brief This group contains some general optimization frameworks
... ...
@@ -588,5 +631,5 @@
588 631

	
589 632
/**
590
@defgroup dimacs_group DIMACS format
633
@defgroup dimacs_group DIMACS Format
591 634
@ingroup io_group
592 635
\brief Read and write files in DIMACS format
... ...
@@ -650,4 +693,13 @@
650 693

	
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
653 705

	
... ...
@@ -661,12 +713,3 @@
661 713
*/
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
}
Show white space 4 line context
... ...
@@ -58,6 +58,8 @@
58 58
	lemon/arg_parser.h \
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 \
63 65
	lemon/cbc.h \
... ...
@@ -79,4 +81,5 @@
79 81
	lemon/euler.h \
80 82
	lemon/fib_heap.h \
83
	lemon/fourary_heap.h \
81 84
	lemon/full_graph.h \
82 85
	lemon/glpk.h \
... ...
@@ -85,4 +88,5 @@
85 88
	lemon/grid_graph.h \
86 89
	lemon/hypercube_graph.h \
90
	lemon/kary_heap.h \
87 91
	lemon/kruskal.h \
88 92
	lemon/hao_orlin.h \
... ...
@@ -93,5 +97,4 @@
93 97
	lemon/lp_base.h \
94 98
	lemon/lp_skeleton.h \
95
	lemon/list_graph.h \
96 99
	lemon/maps.h \
97 100
	lemon/matching.h \
... ...
@@ -100,4 +103,5 @@
100 103
	lemon/nauty_reader.h \
101 104
	lemon/network_simplex.h \
105
	lemon/pairing_heap.h \
102 106
	lemon/path.h \
103 107
	lemon/preflow.h \
Show white space 4 line context
... ...
@@ -48,5 +48,5 @@
48 48
    ///The type of the map that stores the predecessor
49 49
    ///arcs of the shortest paths.
50
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
50
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
51 51
    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
52 52
    ///Instantiates a \c PredMap.
... ...
@@ -63,5 +63,6 @@
63 63

	
64 64
    ///The type of the map that indicates which nodes are processed.
65
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
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;
67 68
    ///Instantiates a \c ProcessedMap.
... ...
@@ -82,5 +83,5 @@
82 83

	
83 84
    ///The type of the map that indicates which nodes are reached.
84
    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
85
    ///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
85 86
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
86 87
    ///Instantiates a \c ReachedMap.
... ...
@@ -97,5 +98,5 @@
97 98

	
98 99
    ///The type of the map that stores the distances of the nodes.
99
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
100
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
100 101
    typedef typename Digraph::template NodeMap<int> DistMap;
101 102
    ///Instantiates a \c DistMap.
... ...
@@ -226,5 +227,5 @@
226 227
    ///\ref named-templ-param "Named parameter" for setting
227 228
    ///\c PredMap type.
228
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
229
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
229 230
    template <class T>
230 231
    struct SetPredMap : public Bfs< Digraph, SetPredMapTraits<T> > {
... ...
@@ -246,5 +247,5 @@
246 247
    ///\ref named-templ-param "Named parameter" for setting
247 248
    ///\c DistMap type.
248
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
249
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
249 250
    template <class T>
250 251
    struct SetDistMap : public Bfs< Digraph, SetDistMapTraits<T> > {
... ...
@@ -266,5 +267,5 @@
266 267
    ///\ref named-templ-param "Named parameter" for setting
267 268
    ///\c ReachedMap type.
268
    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
269
    ///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
269 270
    template <class T>
270 271
    struct SetReachedMap : public Bfs< Digraph, SetReachedMapTraits<T> > {
... ...
@@ -286,5 +287,5 @@
286 287
    ///\ref named-templ-param "Named parameter" for setting
287 288
    ///\c ProcessedMap type.
288
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
289
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
289 290
    template <class T>
290 291
    struct SetProcessedMap : public Bfs< Digraph, SetProcessedMapTraits<T> > {
... ...
@@ -414,6 +415,6 @@
414 415
    ///The simplest way to execute the BFS algorithm is to use one of the
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
419 420
    ///performed with one of the \ref start() functions.
... ...
@@ -738,7 +739,7 @@
738 739
    ///@{
739 740

	
740
    ///The shortest path to a node.
741
    ///The shortest path to the given node.
741 742

	
742
    ///Returns the shortest path to a node.
743
    ///Returns the shortest path to the given node from the root(s).
743 744
    ///
744 745
    ///\warning \c t should be reached from the root(s).
... ...
@@ -748,7 +749,7 @@
748 749
    Path path(Node t) const { return Path(*G, *_pred, t); }
749 750

	
750
    ///The distance of a node from the root(s).
751
    ///The distance of the given node from the root(s).
751 752

	
752
    ///Returns the distance of a node from the root(s).
753
    ///Returns the distance of the given node from the root(s).
753 754
    ///
754 755
    ///\warning If node \c v is not reached from the root(s), then
... ...
@@ -759,6 +760,7 @@
759 760
    int dist(Node v) const { return (*_dist)[v]; }
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
764 766
    ///tree for the node \c v, i.e. it returns the last arc of a
... ...
@@ -767,5 +769,5 @@
767 769
    ///
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
    ///
771 773
    ///\pre Either \ref run(Node) "run()" or \ref init()
... ...
@@ -773,13 +775,14 @@
773 775
    Arc predArc(Node v) const { return (*_pred)[v];}
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
    ///from a shortest path from a root to \c v. It is \c INVALID
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.
781 784
    ///
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
    ///
785 788
    ///\pre Either \ref run(Node) "run()" or \ref init()
... ...
@@ -802,5 +805,5 @@
802 805
    ///
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
    ///
806 809
    ///\pre Either \ref run(Node) "run()" or \ref init()
... ...
@@ -808,5 +811,5 @@
808 811
    const PredMap &predMap() const { return *_pred;}
809 812

	
810
    ///Checks if a node is reached from the root(s).
813
    ///Checks if the given node is reached from the root(s).
811 814

	
812 815
    ///Returns \c true if \c v is reached from the root(s).
... ...
@@ -834,5 +837,5 @@
834 837
    ///The type of the map that stores the predecessor
835 838
    ///arcs of the shortest paths.
836
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
839
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
837 840
    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
838 841
    ///Instantiates a PredMap.
... ...
@@ -849,5 +852,5 @@
849 852

	
850 853
    ///The type of the map that indicates which nodes are processed.
851
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
854
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
852 855
    ///By default it is a NullMap.
853 856
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
... ...
@@ -869,5 +872,5 @@
869 872

	
870 873
    ///The type of the map that indicates which nodes are reached.
871
    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
874
    ///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
872 875
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
873 876
    ///Instantiates a ReachedMap.
... ...
@@ -884,5 +887,5 @@
884 887

	
885 888
    ///The type of the map that stores the distances of the nodes.
886
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
889
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
887 890
    typedef typename Digraph::template NodeMap<int> DistMap;
888 891
    ///Instantiates a DistMap.
... ...
@@ -899,5 +902,5 @@
899 902

	
900 903
    ///The type of the shortest paths.
901
    ///It must meet the \ref concepts::Path "Path" concept.
904
    ///It must conform to the \ref concepts::Path "Path" concept.
902 905
    typedef lemon::Path<Digraph> Path;
903 906
  };
... ...
@@ -905,10 +908,6 @@
905 908
  /// Default traits class used by BfsWizard
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>
914 913
  class BfsWizardBase : public BfsWizardDefaultTraits<GR>
... ...
@@ -938,5 +937,5 @@
938 937
    /// Constructor.
939 938

	
940
    /// This constructor does not require parameters, therefore it initiates
939
    /// This constructor does not require parameters, it initiates
941 940
    /// all of the attributes to \c 0.
942 941
    BfsWizardBase() : _g(0), _reached(0), _processed(0), _pred(0),
... ...
@@ -968,5 +967,4 @@
968 967
    typedef TR Base;
969 968

	
970
    ///The type of the digraph the algorithm runs on.
971 969
    typedef typename TR::Digraph Digraph;
972 970

	
... ...
@@ -976,14 +974,8 @@
976 974
    typedef typename Digraph::OutArcIt OutArcIt;
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;
989 981

	
... ...
@@ -1068,9 +1060,10 @@
1068 1060
      SetPredMapBase(const TR &b) : TR(b) {}
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>
1076 1069
    BfsWizard<SetPredMapBase<T> > predMap(const T &t)
... ...
@@ -1086,9 +1079,10 @@
1086 1079
      SetReachedMapBase(const TR &b) : TR(b) {}
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>
1094 1088
    BfsWizard<SetReachedMapBase<T> > reachedMap(const T &t)
... ...
@@ -1104,9 +1098,11 @@
1104 1098
      SetDistMapBase(const TR &b) : TR(b) {}
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>
1112 1108
    BfsWizard<SetDistMapBase<T> > distMap(const T &t)
... ...
@@ -1122,9 +1118,10 @@
1122 1118
      SetProcessedMapBase(const TR &b) : TR(b) {}
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>
1130 1127
    BfsWizard<SetProcessedMapBase<T> > processedMap(const T &t)
... ...
@@ -1265,5 +1262,5 @@
1265 1262
    ///
1266 1263
    /// The type of the map that indicates which nodes are reached.
1267
    /// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
1264
    /// It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
1268 1265
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
1269 1266

	
... ...
@@ -1426,6 +1423,6 @@
1426 1423
    /// The simplest way to execute the BFS algorithm is to use one of the
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
1431 1428
    /// performed with one of the \ref start() functions.
... ...
@@ -1736,5 +1733,5 @@
1736 1733
    ///@{
1737 1734

	
1738
    /// \brief Checks if a node is reached from the root(s).
1735
    /// \brief Checks if the given node is reached from the root(s).
1739 1736
    ///
1740 1737
    /// Returns \c true if \c v is reached from the root(s).
Show white space 4 line context
... ...
@@ -20,7 +20,7 @@
20 20
#define LEMON_BIN_HEAP_H
21 21

	
22
///\ingroup auxdat
22
///\ingroup heaps
23 23
///\file
24
///\brief Binary Heap implementation.
24
///\brief Binary heap implementation.
25 25

	
26 26
#include <vector>
... ...
@@ -30,43 +30,39 @@
30 30
namespace lemon {
31 31

	
32
  ///\ingroup auxdat
32
  /// \ingroup heaps
33 33
  ///
34
  ///\brief A Binary Heap implementation.
34
  /// \brief Binary heap data structure.
35 35
  ///
36 36
  ///This class implements the \e binary \e heap data structure.
37
  /// It fully conforms to the \ref concepts::Heap "heap concept".
37 38
  ///
38
  ///A \e heap is a data structure for storing items with specified values
39
  ///called \e priorities in such a way that finding the item with minimum
40
  ///priority is efficient. \c CMP specifies the ordering of the priorities.
41
  ///In a heap one can change the priority of an item, add or erase an
42
  ///item, etc.
43
  ///
44
  ///\tparam PR Type of the priority of the items.
45
  ///\tparam IM A read and writable item map with int values, used internally
46
  ///to handle the cross references.
47
  ///\tparam CMP A functor class for the ordering of the priorities.
39
  /// \tparam PR Type of the priorities of the items.
40
  /// \tparam IM A read-writable item map with \c int values, used
41
  /// internally to handle the cross references.
42
  /// \tparam CMP A functor class for comparing the priorities.
48 43
  ///The default is \c std::less<PR>.
49
  ///
50
  ///\sa FibHeap
51
  ///\sa Dijkstra
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
    ///\e
54
    /// Type of the priorities.
59 55
    typedef PR Prio;
60
    ///\e
56
    /// Type of the items stored in the heap.
61 57
    typedef typename ItemIntMap::Key Item;
62
    ///\e
58
    /// Type of the item-priority pairs.
63 59
    typedef std::pair<Item,Prio> Pair;
64
    ///\e
60
    /// Functor type for comparing the priorities.
65 61
    typedef CMP Compare;
66 62

	
67
    /// \brief Type to represent the items states.
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.
72 68
    ///
... ...
@@ -85,40 +81,41 @@
85 81

	
86 82
  public:
87
    /// \brief The constructor.
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 The constructor.
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)
104 100
      : _iim(map), _comp(comp) {}
105 101

	
106 102

	
107
    /// The number of items stored in the heap.
103
    /// \brief The number of items stored in the heap.
108 104
    ///
109
    /// \brief Returns the number of items stored in the heap.
105
    /// This function returns the number of items stored in the heap.
110 106
    int size() const { return _data.size(); }
111 107

	
112
    /// \brief Checks if the heap stores no items.
108
    /// \brief Check if the heap is empty.
113 109
    ///
114
    /// Returns \c true if and only if the heap stores no items.
110
    /// This function returns \c true if the heap is empty.
115 111
    bool empty() const { return _data.empty(); }
116 112

	
117
    /// \brief Make empty this heap.
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() {
124 121
      _data.clear();
... ...
@@ -128,10 +125,10 @@
128 125
    static int parent(int i) { return (i-1)/2; }
129 126

	
130
    static int second_child(int i) { return 2*i+2; }
127
    static int secondChild(int i) { return 2*i+2; }
131 128
    bool less(const Pair &p1, const Pair &p2) const {
132 129
      return _comp(p1.second, p2.second);
133 130
    }
134 131

	
135
    int bubble_up(int hole, Pair p) {
132
    int bubbleUp(int hole, Pair p) {
136 133
      int par = parent(hole);
137 134
      while( hole>0 && less(p,_data[par]) ) {
... ...
@@ -144,6 +141,6 @@
144 141
    }
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) {
149 146
        if( less(_data[child-1], _data[child]) ) {
... ...
@@ -154,5 +151,5 @@
154 151
        move(_data[child], hole);
155 152
        hole = child;
156
        child = second_child(hole);
153
        child = secondChild(hole);
157 154
      }
158 155
      child--;
... ...
@@ -172,42 +169,45 @@
172 169

	
173 170
  public:
171

	
174 172
    /// \brief Insert a pair of item and priority into the heap.
175 173
    ///
176
    /// Adds \c p.first to the heap with priority \c p.second.
174
    /// This function inserts \c p.first to the heap with priority
175
    /// \c p.second.
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) {
179 179
      int n = _data.size();
180 180
      _data.resize(n+1);
181
      bubble_up(n, p);
181
      bubbleUp(n, p);
182 182
    }
183 183

	
184
    /// \brief Insert an item into the heap with the given heap.
184
    /// \brief Insert an item into the heap with the given priority.
185 185
    ///
186
    /// Adds \c i to the heap with priority \c p.
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 Returns the item with minimum priority relative to \c Compare.
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
    /// \pre The heap must be nonempty.
195
    /// This function returns the item having minimum priority.
196
    /// \pre The heap must be non-empty.
196 197
    Item top() const {
197 198
      return _data[0].first;
198 199
    }
199 200

	
200
    /// \brief Returns the minimum priority relative to \c Compare.
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 {
205 206
      return _data[0].second;
206 207
    }
207 208

	
208
    /// \brief Deletes the item with minimum priority relative to \c Compare.
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.
213 213
    void pop() {
... ...
@@ -215,14 +215,15 @@
215 215
      _iim.set(_data[0].first, POST_HEAP);
216 216
      if (n > 0) {
217
        bubble_down(0, _data[n], n);
217
        bubbleDown(0, _data[n], n);
218 218
      }
219 219
      _data.pop_back();
220 220
    }
221 221

	
222
    /// \brief Deletes \c i from the heap.
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
    /// \pre The item should be in the heap.
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) {
228 229
      int h = _iim[i];
... ...
@@ -230,6 +231,6 @@
230 231
      _iim.set(_data[h].first, POST_HEAP);
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
        }
235 236
      }
... ...
@@ -237,10 +238,9 @@
237 238
    }
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 item \c i.
242
    /// This function returns the priority of the given item.
243 243
    /// \param i The item.
244
    /// \pre \c i must be in the heap.
244
    /// \pre \e i must be in the heap.
245 245
    Prio operator[](const Item &i) const {
246 246
      int idx = _iim[i];
... ...
@@ -248,9 +248,10 @@
248 248
    }
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.
256 257
    /// \param p The priority.
... ...
@@ -261,42 +262,40 @@
261 262
      }
262 263
      else if( _comp(p, _data[idx].second) ) {
263
        bubble_up(idx, Pair(i,p));
264
        bubbleUp(idx, Pair(i,p));
264 265
      }
265 266
      else {
266
        bubble_down(idx, Pair(i,p), _data.size());
267
        bubbleDown(idx, Pair(i,p), _data.size());
267 268
      }
268 269
    }
269 270

	
270
    /// \brief Decreases the priority of \c i to \c p.
271
    /// \brief Decrease the priority of an item to the given value.
271 272
    ///
272
    /// This method decreases the priority of item \c i to \c p.
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
      bubble_up(idx, Pair(i,p));
279
      bubbleUp(idx, Pair(i,p));
280 280
    }
281 281

	
282
    /// \brief Increases the priority of \c i to \c p.
282
    /// \brief Increase the priority of an item to the given value.
283 283
    ///
284
    /// This method sets the priority of item \c i to \c p.
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
      bubble_down(idx, Pair(i,p), _data.size());
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.
302 301
    State state(const Item &i) const {
... ...
@@ -307,9 +306,9 @@
307 306
    }
308 307

	
309
    /// \brief Sets the state of the \c item in the heap.
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
    /// better time complexity.
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.
315 314
    /// \param st The state. It should not be \c IN_HEAP.
... ...
@@ -328,10 +327,11 @@
328 327
    }
329 328

	
330
    /// \brief Replaces an item in the heap.
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) {
337 337
      int idx = _iim[i];
Show white space 4 line context
... ...
@@ -538,5 +538,5 @@
538 538

	
539 539
    public:
540
      ArcMap(const Graph& _g) 
540
      explicit ArcMap(const Graph& _g) 
541 541
	: Parent(_g) {}
542 542
      ArcMap(const Graph& _g, const _Value& _v) 
... ...
@@ -562,5 +562,5 @@
562 562

	
563 563
    public:
564
      EdgeMap(const Graph& _g) 
564
      explicit EdgeMap(const Graph& _g) 
565 565
	: Parent(_g) {}
566 566

	
Show white space 4 line context
... ...
@@ -605,5 +605,5 @@
605 605

	
606 606
    public:
607
      NodeMap(const Graph& graph)
607
      explicit NodeMap(const Graph& graph)
608 608
        : Parent(graph) {}
609 609
      NodeMap(const Graph& graph, const _Value& value)
... ...
@@ -629,5 +629,5 @@
629 629

	
630 630
    public:
631
      ArcMap(const Graph& graph)
631
      explicit ArcMap(const Graph& graph)
632 632
        : Parent(graph) {}
633 633
      ArcMap(const Graph& graph, const _Value& value)
... ...
@@ -653,5 +653,5 @@
653 653

	
654 654
    public:
655
      EdgeMap(const Graph& graph)
655
      explicit EdgeMap(const Graph& graph)
656 656
        : Parent(graph) {}
657 657

	
Show white space 4 line context
... ...
@@ -50,4 +50,6 @@
50 50
    typedef typename Parent::ConstReference ConstReference;
51 51

	
52
    typedef typename Parent::ReferenceMapTag ReferenceMapTag;
53

	
52 54
    class MapIt;
53 55
    class ConstMapIt;
... ...
@@ -192,4 +194,6 @@
192 194
    typedef typename Parent::ConstReference ConstReference;
193 195

	
196
    typedef typename Parent::ReferenceMapTag ReferenceMapTag;
197

	
194 198
    class MapIt;
195 199
    class ConstMapIt;
Show white space 4 line context
... ...
@@ -20,7 +20,7 @@
20 20
#define LEMON_BUCKET_HEAP_H
21 21

	
22
///\ingroup auxdat
22
///\ingroup heaps
23 23
///\file
24
///\brief Bucket Heap implementation.
24
///\brief Bucket heap implementation.
25 25

	
26 26
#include <vector>
... ...
@@ -54,33 +54,39 @@
54 54
  }
55 55

	
56
  /// \ingroup auxdat
56
  /// \ingroup heaps
57 57
  ///
58
  /// \brief A Bucket Heap implementation.
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 priorities are small. It is not intended to use as dijkstra heap.
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
  /// prio() member functions.
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>
74 79
  class BucketHeap {
75 80

	
76 81
  public:
77
    /// \e
78
    typedef typename IM::Key Item;
79
    /// \e
82

	
83
    /// Type of the item-int map.
84
    typedef IM ItemIntMap;
85
    /// Type of the priorities.
80 86
    typedef int Prio;
81
    /// \e
87
    /// Type of the items stored in the heap.
88
    typedef typename ItemIntMap::Key Item;
89
    /// Type of the item-priority pairs.
82 90
    typedef std::pair<Item, Prio> Pair;
83
    /// \e
84
    typedef IM ItemIntMap;
85 91

	
86 92
  private:
... ...
@@ -90,8 +96,8 @@
90 96
  public:
91 97

	
92
    /// \brief Type to represent the items states.
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.
97 103
    ///
... ...
@@ -105,28 +111,30 @@
105 111

	
106 112
  public:
107
    /// \brief The constructor.
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
    /// \brief Returns the number of items stored in the heap.
124
    /// This function returns the number of items stored in the heap.
118 125
    int size() const { return _data.size(); }
119 126

	
120
    /// \brief Checks if the heap stores no items.
127
    /// \brief Check if the heap is empty.
121 128
    ///
122
    /// Returns \c true if and only if the heap stores no items.
129
    /// This function returns \c true if the heap is empty.
123 130
    bool empty() const { return _data.empty(); }
124 131

	
125
    /// \brief Make empty this heap.
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() {
132 140
      _data.clear(); _first.clear(); _minimum = 0;
... ...
@@ -135,5 +143,5 @@
135 143
  private:
136 144

	
137
    void relocate_last(int idx) {
145
    void relocateLast(int idx) {
138 146
      if (idx + 1 < int(_data.size())) {
139 147
        _data[idx] = _data.back();
... ...
@@ -175,8 +183,11 @@
175 183

	
176 184
  public:
185

	
177 186
    /// \brief Insert a pair of item and priority into the heap.
178 187
    ///
179
    /// Adds \c p.first to the heap with priority \c p.second.
188
    /// This function inserts \c p.first to the heap with priority
189
    /// \c p.second.
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) {
182 193
      push(p.first, p.second);
... ...
@@ -185,7 +196,9 @@
185 196
    /// \brief Insert an item into the heap with the given priority.
186 197
    ///
187
    /// Adds \c i to the heap with priority \c p.
198
    /// This function inserts the given item into the heap with the
199
    /// given priority.
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) {
191 204
      int idx = _data.size();
... ...
@@ -198,8 +211,8 @@
198 211
    }
199 212

	
200
    /// \brief Returns the item with minimum priority.
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 {
205 218
      while (_first[_minimum] == -1) {
... ...
@@ -209,8 +222,8 @@
209 222
    }
210 223

	
211
    /// \brief Returns the minimum priority.
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 {
216 229
      while (_first[_minimum] == -1) {
... ...
@@ -220,7 +233,7 @@
220 233
    }
221 234

	
222
    /// \brief Deletes the item with minimum priority.
235
    /// \brief Remove the item having minimum priority.
223 236
    ///
224
    /// This method deletes the item with minimum priority from the heap.
237
    /// This function removes the item having minimum priority.
225 238
    /// \pre The heap must be non-empty.
226 239
    void pop() {
... ...
@@ -231,25 +244,25 @@
231 244
      _iim[_data[idx].item] = -2;
232 245
      unlace(idx);
233
      relocate_last(idx);
246
      relocateLast(idx);
234 247
    }
235 248

	
236
    /// \brief Deletes \c i from the heap.
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
    /// \param i The item to erase.
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) {
242 256
      int idx = _iim[i];
243 257
      _iim[_data[idx].item] = -2;
244 258
      unlace(idx);
245
      relocate_last(idx);
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 {
255 268
      int idx = _iim[i];
... ...
@@ -257,9 +270,10 @@
257 270
    }
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.
265 279
    /// \param p The priority.
... ...
@@ -275,11 +289,10 @@
275 289
    }
276 290

	
277
    /// \brief Decreases the priority of \c i to \c p.
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
    /// p relative to \c Compare.
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) {
285 298
      int idx = _iim[i];
... ...
@@ -292,11 +305,10 @@
292 305
    }
293 306

	
294
    /// \brief Increases the priority of \c i to \c p.
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
    /// p relative to \c Compare.
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) {
302 314
      int idx = _iim[i];
... ...
@@ -306,11 +318,11 @@
306 318
    }
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.
316 328
    State state(const Item &i) const {
... ...
@@ -320,9 +332,9 @@
320 332
    }
321 333

	
322
    /// \brief Sets the state of the \c item in the heap.
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
    /// better time complexity.
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.
328 340
    /// \param st The state. It should not be \c IN_HEAP.
... ...
@@ -360,21 +372,27 @@
360 372
  }; // class BucketHeap
361 373

	
362
  /// \ingroup auxdat
374
  /// \ingroup heaps
363 375
  ///
364
  /// \brief A Simplified Bucket Heap implementation.
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
  /// prio() member functions.
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
  ///
380 398
  /// \sa BucketHeap
... ...
@@ -383,8 +401,13 @@
383 401

	
384 402
  public:
385
    typedef typename IM::Key Item;
403

	
404
    /// Type of the item-int map.
405
    typedef IM ItemIntMap;
406
    /// Type of the priorities.
386 407
    typedef int Prio;
408
    /// Type of the items stored in the heap.
409
    typedef typename ItemIntMap::Key Item;
410
    /// Type of the item-priority pairs.
387 411
    typedef std::pair<Item, Prio> Pair;
388
    typedef IM ItemIntMap;
389 412

	
390 413
  private:
... ...
@@ -394,8 +417,8 @@
394 417
  public:
395 418

	
396
    /// \brief Type to represent the items states.
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.
401 424
    ///
... ...
@@ -410,29 +433,30 @@
410 433
  public:
411 434

	
412
    /// \brief The constructor.
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)
419 442
      : _iim(map), _free(-1), _num(0), _minimum(0) {}
420 443

	
421
    /// \brief Returns the number of items stored in the heap.
444
    /// \brief The number of items stored in the heap.
422 445
    ///
423
    /// The number of items stored in the heap.
446
    /// This function returns the number of items stored in the heap.
424 447
    int size() const { return _num; }
425 448

	
426
    /// \brief Checks if the heap stores no items.
449
    /// \brief Check if the heap is empty.
427 450
    ///
428
    /// Returns \c true if and only if the heap stores no items.
451
    /// This function returns \c true if the heap is empty.
429 452
    bool empty() const { return _num == 0; }
430 453

	
431
    /// \brief Make empty this heap.
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() {
438 462
      _data.clear(); _first.clear(); _free = -1; _num = 0; _minimum = 0;
... ...
@@ -441,6 +465,8 @@
441 465
    /// \brief Insert a pair of item and priority into the heap.
442 466
    ///
443
    /// Adds \c p.first to the heap with priority \c p.second.
467
    /// This function inserts \c p.first to the heap with priority
468
    /// \c p.second.
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) {
446 472
      push(p.first, p.second);
... ...
@@ -449,7 +475,9 @@
449 475
    /// \brief Insert an item into the heap with the given priority.
450 476
    ///
451
    /// Adds \c i to the heap with priority \c p.
477
    /// This function inserts the given item into the heap with the
478
    /// given priority.
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) {
455 483
      int idx;
... ...
@@ -472,8 +500,8 @@
472 500
    }
473 501

	
474
    /// \brief Returns the item with minimum priority.
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 {
479 507
      while (_first[_minimum] == -1) {
... ...
@@ -483,8 +511,8 @@
483 511
    }
484 512

	
485
    /// \brief Returns the minimum priority.
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 {
490 518
      while (_first[_minimum] == -1) {
... ...
@@ -494,7 +522,7 @@
494 522
    }
495 523

	
496
    /// \brief Deletes the item with minimum priority.
524
    /// \brief Remove the item having minimum priority.
497 525
    ///
498
    /// This method deletes the item with minimum priority from the heap.
526
    /// This function removes the item having minimum priority.
499 527
    /// \pre The heap must be non-empty.
500 528
    void pop() {
... ...
@@ -510,14 +538,13 @@
510 538
    }
511 539

	
512
    /// \brief Returns the priority of \c i.
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
    /// \pre \c i must be in the heap.
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];
523 550
        while (idx != -1) {
... ...
@@ -531,11 +558,11 @@
531 558
    }
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.
541 568
    State state(const Item &i) const {
Show white space 4 line context
... ...
@@ -73,5 +73,9 @@
73 73
    /// It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap"
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

	
77 81
    /// \brief Instantiates a FlowMap.
... ...
@@ -88,7 +92,10 @@
88 92
    /// The elevator type used by the algorithm.
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

	
94 101
    /// \brief Instantiates an Elevator.
... ...
@@ -451,8 +458,9 @@
451 458
    }
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;
458 466
      return *this;
... ...
@@ -461,13 +469,14 @@
461 469
    /// \brief Returns a const reference to the tolerance.
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 tolerance;
474
      return _tol;
466 475
    }
467 476

	
468 477
    /// \name Execution Control
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.
473 482

	
Show white space 4 line context
... ...
@@ -17,11 +17,11 @@
17 17
 */
18 18

	
19
#ifndef LEMON_CONCEPTS_HEAP_H
20
#define LEMON_CONCEPTS_HEAP_H
21

	
19 22
///\ingroup concept
20 23
///\file
21 24
///\brief The concept of heaps.
22 25

	
23
#ifndef LEMON_CONCEPTS_HEAP_H
24
#define LEMON_CONCEPTS_HEAP_H
25

	
26 26
#include <lemon/core.h>
27 27
#include <lemon/concept_check.h>
... ...
@@ -36,19 +36,25 @@
36 36
    /// \brief The heap concept.
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
    /// item, add or erase an item, etc.
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 Comp A functor class for the ordering of the priorities.
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 Comp = std::less<PR> >
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
54 60
    class Heap {
... ...
@@ -65,7 +71,6 @@
65 71
      ///
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
      /// the user.
73
      /// "pre-heap" or "post-heap". The latter two are indifferent from the
74
      /// heap's point of view, but may be useful to the user.
70 75
      ///
71 76
      /// The item-int map must be initialized in such way that it assigns
... ...
@@ -73,42 +78,58 @@
73 78
      enum State {
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 The constructor.
84
      /// \brief Constructor.
80 85
      ///
81
      /// The constructor.
86
      /// Constructor.
82 87
      /// \param map A map that assigns \c int values to keys of type
83 88
      /// \c Item. It is used internally by the heap implementations to
84 89
      /// handle the cross references. The assigned value must be
85
      /// \c PRE_HEAP (<tt>-1</tt>) for every item.
90
      /// \c PRE_HEAP (<tt>-1</tt>) for each item.
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
      /// Returns the number of items stored in the heap.
105
      /// This function returns the number of items stored in the heap.
91 106
      int size() const { return 0; }
92 107

	
93
      /// \brief Checks if the heap is empty.
108
      /// \brief Check if the heap is empty.
94 109
      ///
95
      /// Returns \c true if the heap is empty.
110
      /// This function returns \c true if the heap is empty.
96 111
      bool empty() const { return false; }
97 112

	
98
      /// \brief Makes the heap empty.
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 Inserts an item into the heap with the given priority.
122
      /// \brief Insert an item into the heap with the given priority.
104 123
      ///
105
      /// Inserts the given item into the heap with the given priority.
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 Returns the item having minimum priority.
131
      /// \brief Return the item having minimum priority.
111 132
      ///
112
      /// Returns the item having minimum priority.
133
      /// This function returns the item having minimum priority.
113 134
      /// \pre The heap must be non-empty.
114 135
      Item top() const {}
... ...
@@ -116,33 +137,35 @@
116 137
      /// \brief The minimum priority.
117 138
      ///
118
      /// Returns the minimum priority.
139
      /// This function returns the minimum priority.
119 140
      /// \pre The heap must be non-empty.
120 141
      Prio prio() const {}
121 142

	
122
      /// \brief Removes the item having minimum priority.
143
      /// \brief Remove the item having minimum priority.
123 144
      ///
124
      /// Removes the item having minimum priority.
145
      /// This function removes the item having minimum priority.
125 146
      /// \pre The heap must be non-empty.
126 147
      void pop() {}
127 148

	
128
      /// \brief Removes an item from the heap.
149
      /// \brief Remove the given item from the heap.
129 150
      ///
130
      /// Removes the given item from the heap if it is already stored.
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 an item.
157
      /// \brief The priority of the given item.
135 158
      ///
136
      /// Returns the priority of the given item.
159
      /// This function returns the priority of the given item.
137 160
      /// \param i The item.
138
      /// \pre \c i must be in the heap.
161
      /// \pre \e i must be in the heap.
139 162
      Prio operator[](const Item &i) const {}
140 163

	
141
      /// \brief Sets the priority of an item or inserts it, if it is
164
      /// \brief Set the priority of an item or insert it, if it is
142 165
      /// not stored in the heap.
143 166
      ///
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
      ///
148 171
      /// \param i The item.
... ...
@@ -150,22 +173,21 @@
150 173
      void set(const Item &i, const Prio &p) {}
151 174

	
152
      /// \brief Decreases the priority of an item to the given value.
175
      /// \brief Decrease the priority of an item to the given value.
153 176
      ///
154
      /// Decreases the priority of an item to the given value.
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 \c i must be stored in the heap with priority at least \c p.
180
      /// \pre \e i must be stored in the heap with priority at least \e p.
158 181
      void decrease(const Item &i, const Prio &p) {}
159 182

	
160
      /// \brief Increases the priority of an item to the given value.
183
      /// \brief Increase the priority of an item to the given value.
161 184
      ///
162
      /// Increases the priority of an item to the given value.
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 \c i must be stored in the heap with priority at most \c p.
188
      /// \pre \e i must be stored in the heap with priority at most \e p.
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
      ///
171 193
      /// This method returns \c PRE_HEAP if the given item has never
... ...
@@ -177,9 +199,9 @@
177 199
      State state(const Item &i) const {}
178 200

	
179
      /// \brief Sets the state of an item in the heap.
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
      /// better time complexity.
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.
185 207
      /// \param st The state. It should not be \c IN_HEAP.
Show white space 4 line context
... ...
@@ -183,5 +183,6 @@
183 183
      template<typename _ReferenceMap>
184 184
      struct Constraints {
185
        void constraints() {
185
        typename enable_if<typename _ReferenceMap::ReferenceMapTag, void>::type
186
        constraints() {
186 187
          checkConcept<ReadWriteMap<K, T>, _ReferenceMap >();
187 188
          ref = m[key];
Show white space 4 line context
... ...
@@ -48,5 +48,5 @@
48 48
    ///The type of the map that stores the predecessor
49 49
    ///arcs of the %DFS paths.
50
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
50
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
51 51
    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
52 52
    ///Instantiates a \c PredMap.
... ...
@@ -63,5 +63,6 @@
63 63

	
64 64
    ///The type of the map that indicates which nodes are processed.
65
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
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;
67 68
    ///Instantiates a \c ProcessedMap.
... ...
@@ -82,5 +83,5 @@
82 83

	
83 84
    ///The type of the map that indicates which nodes are reached.
84
    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
85
    ///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
85 86
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
86 87
    ///Instantiates a \c ReachedMap.
... ...
@@ -97,5 +98,5 @@
97 98

	
98 99
    ///The type of the map that stores the distances of the nodes.
99
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
100
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
100 101
    typedef typename Digraph::template NodeMap<int> DistMap;
101 102
    ///Instantiates a \c DistMap.
... ...
@@ -225,5 +226,5 @@
225 226
    ///\ref named-templ-param "Named parameter" for setting
226 227
    ///\c PredMap type.
227
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
228
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
228 229
    template <class T>
229 230
    struct SetPredMap : public Dfs<Digraph, SetPredMapTraits<T> > {
... ...
@@ -245,5 +246,5 @@
245 246
    ///\ref named-templ-param "Named parameter" for setting
246 247
    ///\c DistMap type.
247
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
248
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
248 249
    template <class T>
249 250
    struct SetDistMap : public Dfs< Digraph, SetDistMapTraits<T> > {
... ...
@@ -265,5 +266,5 @@
265 266
    ///\ref named-templ-param "Named parameter" for setting
266 267
    ///\c ReachedMap type.
267
    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
268
    ///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
268 269
    template <class T>
269 270
    struct SetReachedMap : public Dfs< Digraph, SetReachedMapTraits<T> > {
... ...
@@ -285,5 +286,5 @@
285 286
    ///\ref named-templ-param "Named parameter" for setting
286 287
    ///\c ProcessedMap type.
287
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
288
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
288 289
    template <class T>
289 290
    struct SetProcessedMap : public Dfs< Digraph, SetProcessedMapTraits<T> > {
... ...
@@ -412,6 +413,6 @@
412 413
    ///The simplest way to execute the DFS algorithm is to use one of the
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().
417 418
    ///This procedure can be repeated if there are nodes that have not
... ...
@@ -670,7 +671,7 @@
670 671
    ///@{
671 672

	
672
    ///The DFS path to a node.
673
    ///The DFS path to the given node.
673 674

	
674
    ///Returns the DFS path to a node.
675
    ///Returns the DFS path to the given node from the root(s).
675 676
    ///
676 677
    ///\warning \c t should be reached from the root(s).
... ...
@@ -680,7 +681,7 @@
680 681
    Path path(Node t) const { return Path(*G, *_pred, t); }
681 682

	
682
    ///The distance of a node from the root(s).
683
    ///The distance of the given node from the root(s).
683 684

	
684
    ///Returns the distance of a node from the root(s).
685
    ///Returns the distance of the given node from the root(s).
685 686
    ///
686 687
    ///\warning If node \c v is not reached from the root(s), then
... ...
@@ -691,5 +692,5 @@
691 692
    int dist(Node v) const { return (*_dist)[v]; }
692 693

	
693
    ///Returns the 'previous arc' of the %DFS tree for a node.
694
    ///Returns the 'previous arc' of the %DFS tree for the given node.
694 695

	
695 696
    ///This function returns the 'previous arc' of the %DFS tree for the
... ...
@@ -699,5 +700,5 @@
699 700
    ///
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
    ///
703 704
    ///\pre Either \ref run(Node) "run()" or \ref init()
... ...
@@ -705,13 +706,13 @@
705 706
    Arc predArc(Node v) const { return (*_pred)[v];}
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

	
709 710
    ///This function returns the 'previous node' of the %DFS
710 711
    ///tree for the node \c v, i.e. it returns the last but one node
711
    ///from a %DFS path from a root to \c v. It is \c INVALID
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.
713 714
    ///
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
    ///
717 718
    ///\pre Either \ref run(Node) "run()" or \ref init()
... ...
@@ -734,5 +735,5 @@
734 735
    ///
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
    ///
738 739
    ///\pre Either \ref run(Node) "run()" or \ref init()
... ...
@@ -740,5 +741,5 @@
740 741
    const PredMap &predMap() const { return *_pred;}
741 742

	
742
    ///Checks if a node is reached from the root(s).
743
    ///Checks if the given node. node is reached from the root(s).
743 744

	
744 745
    ///Returns \c true if \c v is reached from the root(s).
... ...
@@ -766,5 +767,5 @@
766 767
    ///The type of the map that stores the predecessor
767 768
    ///arcs of the %DFS paths.
768
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
769
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
769 770
    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
770 771
    ///Instantiates a PredMap.
... ...
@@ -781,5 +782,5 @@
781 782

	
782 783
    ///The type of the map that indicates which nodes are processed.
783
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
784
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
784 785
    ///By default it is a NullMap.
785 786
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
... ...
@@ -801,5 +802,5 @@
801 802

	
802 803
    ///The type of the map that indicates which nodes are reached.
803
    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
804
    ///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
804 805
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
805 806
    ///Instantiates a ReachedMap.
... ...
@@ -816,5 +817,5 @@
816 817

	
817 818
    ///The type of the map that stores the distances of the nodes.
818
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
819
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
819 820
    typedef typename Digraph::template NodeMap<int> DistMap;
820 821
    ///Instantiates a DistMap.
... ...
@@ -831,5 +832,5 @@
831 832

	
832 833
    ///The type of the DFS paths.
833
    ///It must meet the \ref concepts::Path "Path" concept.
834
    ///It must conform to the \ref concepts::Path "Path" concept.
834 835
    typedef lemon::Path<Digraph> Path;
835 836
  };
... ...
@@ -837,10 +838,6 @@
837 838
  /// Default traits class used by DfsWizard
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>
846 843
  class DfsWizardBase : public DfsWizardDefaultTraits<GR>
... ...
@@ -870,5 +867,5 @@
870 867
    /// Constructor.
871 868

	
872
    /// This constructor does not require parameters, therefore it initiates
869
    /// This constructor does not require parameters, it initiates
873 870
    /// all of the attributes to \c 0.
874 871
    DfsWizardBase() : _g(0), _reached(0), _processed(0), _pred(0),
... ...
@@ -900,5 +897,4 @@
900 897
    typedef TR Base;
901 898

	
902
    ///The type of the digraph the algorithm runs on.
903 899
    typedef typename TR::Digraph Digraph;
904 900

	
... ...
@@ -908,14 +904,8 @@
908 904
    typedef typename Digraph::OutArcIt OutArcIt;
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;
921 911

	
... ...
@@ -1000,9 +990,10 @@
1000 990
      SetPredMapBase(const TR &b) : TR(b) {}
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>
1008 999
    DfsWizard<SetPredMapBase<T> > predMap(const T &t)
... ...
@@ -1018,9 +1009,10 @@
1018 1009
      SetReachedMapBase(const TR &b) : TR(b) {}
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>
1026 1018
    DfsWizard<SetReachedMapBase<T> > reachedMap(const T &t)
... ...
@@ -1036,9 +1028,11 @@
1036 1028
      SetDistMapBase(const TR &b) : TR(b) {}
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>
1044 1038
    DfsWizard<SetDistMapBase<T> > distMap(const T &t)
... ...
@@ -1054,9 +1048,10 @@
1054 1048
      SetProcessedMapBase(const TR &b) : TR(b) {}
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>
1062 1057
    DfsWizard<SetProcessedMapBase<T> > processedMap(const T &t)
... ...
@@ -1209,5 +1204,5 @@
1209 1204
    ///
1210 1205
    /// The type of the map that indicates which nodes are reached.
1211
    /// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
1206
    /// It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
1212 1207
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
1213 1208

	
... ...
@@ -1370,6 +1365,6 @@
1370 1365
    /// The simplest way to execute the DFS algorithm is to use one of the
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().
1375 1370
    /// This procedure can be repeated if there are nodes that have not
... ...
@@ -1621,5 +1616,5 @@
1621 1616
    ///@{
1622 1617

	
1623
    /// \brief Checks if a node is reached from the root(s).
1618
    /// \brief Checks if the given node is reached from the root(s).
1624 1619
    ///
1625 1620
    /// Returns \c true if \c v is reached from the root(s).
Show white space 4 line context
... ...
@@ -71,7 +71,7 @@
71 71

	
72 72
    ///The type of the map that stores the arc lengths.
73
    ///It must meet the \ref concepts::ReadMap "ReadMap" concept.
73
    ///It must conform to the \ref concepts::ReadMap "ReadMap" concept.
74 74
    typedef LEN LengthMap;
75
    ///The type of the length of the arcs.
75
    ///The type of the arc lengths.
76 76
    typedef typename LEN::Value Value;
77 77

	
... ...
@@ -117,5 +117,5 @@
117 117
    ///The type of the map that stores the predecessor
118 118
    ///arcs of the shortest paths.
119
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
119
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
120 120
    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
121 121
    ///Instantiates a \c PredMap.
... ...
@@ -132,5 +132,5 @@
132 132

	
133 133
    ///The type of the map that indicates which nodes are processed.
134
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
134
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
135 135
    ///By default it is a NullMap.
136 136
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
... ...
@@ -152,5 +152,5 @@
152 152

	
153 153
    ///The type of the map that stores the distances of the nodes.
154
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
154
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
155 155
    typedef typename Digraph::template NodeMap<typename LEN::Value> DistMap;
156 156
    ///Instantiates a \c DistMap.
... ...
@@ -170,4 +170,8 @@
170 170
  ///This class provides an efficient implementation of the %Dijkstra algorithm.
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
173 177
  ///\ref concepts::ReadMap "ReadMap",
... ...
@@ -202,5 +206,5 @@
202 206
    typedef typename TR::Digraph Digraph;
203 207

	
204
    ///The type of the length of the arcs.
208
    ///The type of the arc lengths.
205 209
    typedef typename TR::LengthMap::Value Value;
206 210
    ///The type of the map that stores the arc lengths.
... ...
@@ -305,5 +309,5 @@
305 309
    ///\ref named-templ-param "Named parameter" for setting
306 310
    ///\c PredMap type.
307
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
311
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
308 312
    template <class T>
309 313
    struct SetPredMap
... ...
@@ -326,5 +330,5 @@
326 330
    ///\ref named-templ-param "Named parameter" for setting
327 331
    ///\c DistMap type.
328
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
332
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
329 333
    template <class T>
330 334
    struct SetDistMap
... ...
@@ -347,5 +351,5 @@
347 351
    ///\ref named-templ-param "Named parameter" for setting
348 352
    ///\c ProcessedMap type.
349
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
353
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
350 354
    template <class T>
351 355
    struct SetProcessedMap
... ...
@@ -444,4 +448,5 @@
444 448
    ///\ref named-templ-param "Named parameter" for setting
445 449
    ///\c OperationTraits type.
450
    /// For more information see \ref DijkstraDefaultOperationTraits.
446 451
    template <class T>
447 452
    struct SetOperationTraits
... ...
@@ -585,6 +590,6 @@
585 590
    ///The simplest way to execute the %Dijkstra algorithm is to use
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
590 595
    ///performed with one of the \ref start() functions.
... ...
@@ -802,12 +807,12 @@
802 807
    ///The results of the %Dijkstra algorithm can be obtained using these
803 808
    ///functions.\n
804
    ///Either \ref run(Node) "run()" or \ref start() should be called
809
    ///Either \ref run(Node) "run()" or \ref init() should be called
805 810
    ///before using them.
806 811

	
807 812
    ///@{
808 813

	
809
    ///The shortest path to a node.
814
    ///The shortest path to the given node.
810 815

	
811
    ///Returns the shortest path to a node.
816
    ///Returns the shortest path to the given node from the root(s).
812 817
    ///
813 818
    ///\warning \c t should be reached from the root(s).
... ...
@@ -817,7 +822,7 @@
817 822
    Path path(Node t) const { return Path(*G, *_pred, t); }
818 823

	
819
    ///The distance of a node from the root(s).
824
    ///The distance of the given node from the root(s).
820 825

	
821
    ///Returns the distance of a node from the root(s).
826
    ///Returns the distance of the given node from the root(s).
822 827
    ///
823 828
    ///\warning If node \c v is not reached from the root(s), then
... ...
@@ -828,6 +833,7 @@
828 833
    Value dist(Node v) const { return (*_dist)[v]; }
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
833 839
    ///tree for the node \c v, i.e. it returns the last arc of a
... ...
@@ -836,5 +842,5 @@
836 842
    ///
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
    ///
840 846
    ///\pre Either \ref run(Node) "run()" or \ref init()
... ...
@@ -842,13 +848,14 @@
842 848
    Arc predArc(Node v) const { return (*_pred)[v]; }
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
    ///from a shortest path from a root to \c v. It is \c INVALID
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.
850 857
    ///
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
    ///
854 861
    ///\pre Either \ref run(Node) "run()" or \ref init()
... ...
@@ -871,5 +878,5 @@
871 878
    ///
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
    ///
875 882
    ///\pre Either \ref run(Node) "run()" or \ref init()
... ...
@@ -877,5 +884,5 @@
877 884
    const PredMap &predMap() const { return *_pred;}
878 885

	
879
    ///Checks if a node is reached from the root(s).
886
    ///Checks if the given node is reached from the root(s).
880 887

	
881 888
    ///Returns \c true if \c v is reached from the root(s).
... ...
@@ -896,7 +903,7 @@
896 903
                                          Heap::POST_HEAP; }
897 904

	
898
    ///The current distance of a node from the root(s).
905
    ///The current distance of the given node from the root(s).
899 906

	
900
    ///Returns the current distance of a node from the root(s).
907
    ///Returns the current distance of the given node from the root(s).
901 908
    ///It may be decreased in the following processes.
902 909
    ///
... ...
@@ -925,7 +932,7 @@
925 932

	
926 933
    ///The type of the map that stores the arc lengths.
927
    ///It must meet the \ref concepts::ReadMap "ReadMap" concept.
934
    ///It must conform to the \ref concepts::ReadMap "ReadMap" concept.
928 935
    typedef LEN LengthMap;
929
    ///The type of the length of the arcs.
936
    ///The type of the arc lengths.
930 937
    typedef typename LEN::Value Value;
931 938

	
... ...
@@ -974,5 +981,5 @@
974 981
    ///The type of the map that stores the predecessor
975 982
    ///arcs of the shortest paths.
976
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
983
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
977 984
    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
978 985
    ///Instantiates a PredMap.
... ...
@@ -989,5 +996,5 @@
989 996

	
990 997
    ///The type of the map that indicates which nodes are processed.
991
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
998
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
992 999
    ///By default it is a NullMap.
993 1000
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
... ...
@@ -1009,5 +1016,5 @@
1009 1016

	
1010 1017
    ///The type of the map that stores the distances of the nodes.
1011
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
1018
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
1012 1019
    typedef typename Digraph::template NodeMap<typename LEN::Value> DistMap;
1013 1020
    ///Instantiates a DistMap.
... ...
@@ -1024,5 +1031,5 @@
1024 1031

	
1025 1032
    ///The type of the shortest paths.
1026
    ///It must meet the \ref concepts::Path "Path" concept.
1033
    ///It must conform to the \ref concepts::Path "Path" concept.
1027 1034
    typedef lemon::Path<Digraph> Path;
1028 1035
  };
... ...
@@ -1030,10 +1037,7 @@
1030 1037
  /// Default traits class used by DijkstraWizard
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>
1039 1043
  class DijkstraWizardBase : public DijkstraWizardDefaultTraits<GR,LEN>
... ...
@@ -1094,5 +1098,4 @@
1094 1098
    typedef TR Base;
1095 1099

	
1096
    ///The type of the digraph the algorithm runs on.
1097 1100
    typedef typename TR::Digraph Digraph;
1098 1101

	
... ...
@@ -1102,18 +1105,10 @@
1102 1105
    typedef typename Digraph::OutArcIt OutArcIt;
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;
1119 1114

	
... ...
@@ -1187,9 +1182,10 @@
1187 1182
      SetPredMapBase(const TR &b) : TR(b) {}
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>
1195 1191
    DijkstraWizard<SetPredMapBase<T> > predMap(const T &t)
... ...
@@ -1205,9 +1201,11 @@
1205 1201
      SetDistMapBase(const TR &b) : TR(b) {}
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>
1213 1211
    DijkstraWizard<SetDistMapBase<T> > distMap(const T &t)
... ...
@@ -1223,9 +1221,10 @@
1223 1221
      SetProcessedMapBase(const TR &b) : TR(b) {}
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>
1231 1230
    DijkstraWizard<SetProcessedMapBase<T> > processedMap(const T &t)
... ...
@@ -1240,4 +1239,5 @@
1240 1239
      SetPathBase(const TR &b) : TR(b) {}
1241 1240
    };
1241

	
1242 1242
    ///\brief \ref named-func-param "Named parameter"
1243 1243
    ///for getting the shortest path to the target node.
Show white space 4 line context
... ...
@@ -22,14 +22,7 @@
22 22
#include <iostream>
23 23

	
24
///\ingroup misc
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

	
35 28
namespace lemon {
... ...
@@ -41,5 +34,5 @@
41 34
  namespace dim2 {
42 35

	
43
  /// \addtogroup misc
36
  /// \addtogroup geomdat
44 37
  /// @{
45 38

	
Show white space 4 line context
... ...
@@ -21,8 +21,9 @@
21 21

	
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>
28 29
#include <lemon/math.h>
... ...
@@ -30,42 +31,37 @@
30 31
namespace lemon {
31 32

	
32
  /// \ingroup auxdat
33
  /// \ingroup heaps
33 34
  ///
34
  ///\brief Fibonacci Heap.
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
  ///one can change the priority of an item, add or erase an item, etc.
37
  /// This class implements the \e Fibonacci \e heap data structure.
38
  /// It fully conforms to the \ref concepts::Heap "heap concept".
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 BinHeap "binary heap".
40
  /// The methods \ref increase() and \ref erase() are not efficient in a
41
  /// Fibonacci heap. In case of many calls of these operations, it is
42
  /// better to use other heap structure, e.g. \ref BinHeap "binary heap".
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 PRIO, typename IM, typename CMP>
50
  template <typename PR, typename IM, typename CMP>
56 51
#else
57
  template <typename PRIO, typename IM, typename CMP = std::less<PRIO> >
52
  template <typename PR, typename IM, typename CMP = std::less<PR> >
58 53
#endif
59 54
  class FibHeap {
60 55
  public:
61
    ///\e
56

	
57
    /// Type of the item-int map.
62 58
    typedef IM ItemIntMap;
63
    ///\e
64
    typedef PRIO Prio;
65
    ///\e
59
    /// Type of the priorities.
60
    typedef PR Prio;
61
    /// Type of the items stored in the heap.
66 62
    typedef typename ItemIntMap::Key Item;
67
    ///\e
63
    /// Type of the item-priority pairs.
68 64
    typedef std::pair<Item,Prio> Pair;
69
    ///\e
65
    /// Functor type for comparing the priorities.
70 66
    typedef CMP Compare;
71 67

	
... ...
@@ -81,8 +77,8 @@
81 77
  public:
82 78

	
83
    /// \brief Type to represent the items states.
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.
88 84
    ///
... ...
@@ -95,16 +91,20 @@
95 91
    };
96 92

	
97
    /// \brief The constructor
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)
102 100
      : _minimum(0), _iim(map), _num() {}
103 101

	
104
    /// \brief The constructor
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
    /// object for ordering of the priorities.
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)
110 110
      : _minimum(0), _iim(map), _comp(comp), _num() {}
... ...
@@ -112,41 +112,31 @@
112 112
    /// \brief The number of items stored in the heap.
113 113
    ///
114
    /// Returns the number of items stored in the heap.
114
    /// This function returns the number of items stored in the heap.
115 115
    int size() const { return _num; }
116 116

	
117
    /// \brief Checks if the heap stores no items.
117
    /// \brief Check if the heap is empty.
118 118
    ///
119
    ///   Returns \c true if and only if the heap stores no items.
119
    /// This function returns \c true if the heap is empty.
120 120
    bool empty() const { return _num==0; }
121 121

	
122
    /// \brief Make empty this heap.
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() {
129 130
      _data.clear(); _minimum = 0; _num = 0;
130 131
    }
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];
152 142
      if ( i < 0 ) {
... ...
@@ -169,38 +159,28 @@
169 159
        _data[_minimum].right_neighbor=i;
170 160
        _data[i].left_neighbor=_minimum;
171
        if ( _comp( value, _data[_minimum].prio) ) _minimum=i;
161
        if ( _comp( prio, _data[_minimum].prio) ) _minimum=i;
172 162
      } else {
173 163
        _data[i].right_neighbor=_data[i].left_neighbor=i;
174 164
        _minimum=i;
175 165
      }
176
      _data[i].prio=value;
166
      _data[i].prio=prio;
177 167
      ++_num;
178 168
    }
179 169

	
180
    /// \brief Returns the item with minimum priority relative to \c Compare.
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
    /// \pre The heap must be nonempty.
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 Returns the minimum priority relative to \c Compare.
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
    const Prio& prio() const { return _data[_minimum].prio; }
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 Returns the priority of \c item.
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.
206 186
    void pop() {
... ...
@@ -209,5 +189,5 @@
209 189
        _data[_minimum].in=false;
210 190
        if ( _data[_minimum].degree!=0 ) {
211
          makeroot(_data[_minimum].child);
191
          makeRoot(_data[_minimum].child);
212 192
          _minimum=_data[_minimum].child;
213 193
          balance();
... ...
@@ -222,5 +202,5 @@
222 202
          int last_child=_data[child].left_neighbor;
223 203

	
224
          makeroot(child);
204
          makeRoot(child);
225 205

	
226 206
          _data[left].right_neighbor=child;
... ...
@@ -235,8 +215,10 @@
235 215
    }
236 216

	
237
    /// \brief Deletes \c item from the heap.
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) {
242 224
      int i=_iim[item];
... ...
@@ -253,41 +235,66 @@
253 235
    }
254 236

	
255
    /// \brief Decreases the priority of \c item to \c value.
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].prio=value;
256
      if ( i >= 0 && _data[i].in ) {
257
        if ( _comp(prio, _data[i].prio) ) decrease(item, prio);
258
        if ( _comp(_data[i].prio, prio) ) increase(item, prio);
259
      } else push(item, prio);
260
    }
261

	
262
    /// \brief Decrease the priority of an item to the given value.
263
    ///
264
    /// This function decreases the priority of an item to the given value.
265
    /// \param item The item.
266
    /// \param prio The priority.
267
    /// \pre \e item must be stored in the heap with priority at least \e prio.
268
    void decrease (const Item& item, const Prio& prio) {
269
      int i=_iim[item];
270
      _data[i].prio=prio;
263 271
      int p=_data[i].parent;
264 272

	
265
      if ( p!=-1 && _comp(value, _data[p].prio) ) {
273
      if ( p!=-1 && _comp(prio, _data[p].prio) ) {
266 274
        cut(i,p);
267 275
        cascade(p);
268 276
      }
269
      if ( _comp(value, _data[_minimum].prio) ) _minimum=i;
277
      if ( _comp(prio, _data[_minimum].prio) ) _minimum=i;
270 278
    }
271 279

	
272
    /// \brief Increases the priority of \c item to \c value.
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, value);
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
    /// been in the heap.
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 {
293 300
      int i=_iim[item];
... ...
@@ -299,9 +306,9 @@
299 306
    }
300 307

	
301
    /// \brief Sets the state of the \c item in the heap.
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
    /// better time _complexity.
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.
307 314
    /// \param st The state. It should not be \c IN_HEAP.
... ...
@@ -366,5 +373,5 @@
366 373
    }
367 374

	
368
    void makeroot(int c) {
375
    void makeRoot(int c) {
369 376
      int s=c;
370 377
      do {
Show white space 4 line context
... ...
@@ -360,8 +360,8 @@
360 360
    /// \c t.
361 361
    /// \code
362
    /// GomoruHu<Graph> gom(g, capacities);
362
    /// GomoryHu<Graph> gom(g, capacities);
363 363
    /// gom.run();
364 364
    /// int cnt=0;
365
    /// for(GomoruHu<Graph>::MinCutNodeIt n(gom,s,t); n!=INVALID; ++n) ++cnt;
365
    /// for(GomoryHu<Graph>::MinCutNodeIt n(gom,s,t); n!=INVALID; ++n) ++cnt;
366 366
    /// \endcode
367 367
    class MinCutNodeIt
... ...
@@ -457,8 +457,8 @@
457 457
    /// \c t.
458 458
    /// \code
459
    /// GomoruHu<Graph> gom(g, capacities);
459
    /// GomoryHu<Graph> gom(g, capacities);
460 460
    /// gom.run();
461 461
    /// int value=0;
462
    /// for(GomoruHu<Graph>::MinCutEdgeIt e(gom,s,t); e!=INVALID; ++e)
462
    /// for(GomoryHu<Graph>::MinCutEdgeIt e(gom,s,t); e!=INVALID; ++e)
463 463
    ///   value+=capacities[e];
464 464
    /// \endcode
Show white space 4 line context
... ...
@@ -1790,9 +1790,9 @@
1790 1790
  /// \code
1791 1791
  ///   std::vector<Node> v;
1792
  ///   dfs(g,s).processedMap(loggerBoolMap(std::back_inserter(v))).run();
1792
  ///   dfs(g).processedMap(loggerBoolMap(std::back_inserter(v))).run(s);
1793 1793
  /// \endcode
1794 1794
  /// \code
1795 1795
  ///   std::vector<Node> v(countNodes(g));
1796
  ///   dfs(g,s).processedMap(loggerBoolMap(v.begin())).run();
1796
  ///   dfs(g).processedMap(loggerBoolMap(v.begin())).run(s);
1797 1797
  /// \endcode
1798 1798
  ///
Show white space 4 line context
... ...
@@ -489,6 +489,6 @@
489 489
    /// The simplest way to execute the algorithm is to use
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().
494 494
    /// Finally \ref start() will perform the arborescence
Show white space 4 line context
... ...
@@ -53,5 +53,9 @@
53 53
    /// The type of the map that stores the flow values.
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

	
57 61
    /// \brief Instantiates a FlowMap.
... ...
@@ -68,7 +72,10 @@
68 72
    /// The elevator type used by Preflow algorithm.
69 73
    ///
70
    /// \sa Elevator
71
    /// \sa LinkedElevator
72
    typedef LinkedElevator<Digraph, typename Digraph::Node> Elevator;
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

	
74 81
    /// \brief Instantiates an Elevator.
... ...
@@ -98,5 +105,5 @@
98 105
  /// "flow of maximum value" in a digraph.
99 106
  /// The preflow algorithms are the fastest known maximum
100
  /// flow algorithms. The current implementation use a mixture of the
107
  /// flow algorithms. The current implementation uses a mixture of the
101 108
  /// \e "highest label" and the \e "bound decrease" heuristics.
102 109
  /// The worst case time complexity of the algorithm is \f$O(n^2\sqrt{e})\f$.
... ...
@@ -372,8 +379,9 @@
372 379
    }
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;
379 387
      return *this;
... ...
@@ -382,7 +390,8 @@
382 390
    /// \brief Returns a const reference to the tolerance.
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 tolerance;
395
      return _tolerance;
387 396
    }
388 397

	
... ...
@@ -390,6 +399,6 @@
390 399
    /// The simplest way to execute the preflow algorithm is to use
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().
395 404

	
Show white space 4 line context
... ...
@@ -20,7 +20,7 @@
20 20
#define LEMON_RADIX_HEAP_H
21 21

	
22
///\ingroup auxdat
22
///\ingroup heaps
23 23
///\file
24
///\brief Radix Heap implementation.
24
///\brief Radix heap implementation.
25 25

	
26 26
#include <vector>
... ...
@@ -30,54 +30,52 @@
30 30

	
31 31

	
32
  /// \ingroup auxdata
32
  /// \ingroup heaps
33 33
  ///
34
  /// \brief A Radix Heap implementation.
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
  /// item's priority.
36
  /// This class implements the \e radix \e heap data structure.
37
  /// It practically conforms to the \ref concepts::Heap "heap concept",
38
  /// but it has some limitations due its special implementation.
39
  /// The type of the priorities must be \c int and the priority of an
40
  /// item cannot be decreased under the priority of the last removed item.
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
  /// \see Dijkstra
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>
50 45
  class RadixHeap {
51 46

	
52 47
  public:
53
    typedef typename IM::Key Item;
48

	
49
    /// Type of the item-int map.
50
    typedef IM ItemIntMap;
51
    /// Type of the priorities.
54 52
    typedef int Prio;
55
    typedef IM ItemIntMap;
53
    /// Type of the items stored in the heap.
54
    typedef typename ItemIntMap::Key Item;
56 55

	
57 56
    /// \brief Exception thrown by RadixHeap.
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::UnderFlowPriorityError";
64
        return "lemon::RadixHeap::PriorityUnderflowError";
67 65
      }
68 66
    };
69 67

	
70
    /// \brief Type to represent the items states.
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
      POST_HEAP = -2
77
      IN_HEAP = 0,    ///< = 0.
78
      PRE_HEAP = -1,  ///< = -1.
79
      POST_HEAP = -2  ///< = -2.
82 80
    };
83 81

	
... ...
@@ -97,50 +95,53 @@
97 95
    };
98 96

	
99
    std::vector<RadixItem> data;
100
    std::vector<RadixBox> boxes;
97
    std::vector<RadixItem> _data;
98
    std::vector<RadixBox> _boxes;
101 99

	
102 100
    ItemIntMap &_iim;
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
      while (lower(boxes.size() - 1, capacity + minimal - 1)) {
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();
122 119
      }
123 120
    }
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
    /// \brief Checks if the heap stores no items.
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 empty this heap.
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
      while (lower(boxes.size() - 1, capacity + minimal - 1)) {
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();
146 147
      }
... ...
@@ -150,56 +151,56 @@
150 151

	
151 152
    bool upper(int box, Prio pr) {
152
      return pr < boxes[box].min;
153
      return pr < _boxes[box].min;
153 154
    }
154 155

	
155 156
    bool lower(int box, Prio pr) {
156
      return pr >= boxes[box].min + boxes[box].size;
157
      return pr >= _boxes[box].min + _boxes[box].size;
157 158
    }
158 159

	
159
    /// \brief Remove item from the box list.
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
        boxes[data[index].box].first = data[index].next;
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
      }
169 170
    }
170 171

	
171
    /// \brief Insert item into the box list.
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
        data[index].next = data[index].prev = -1;
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
      data[index].box = box;
183
      _data[index].box = box;
183 184
    }
184 185

	
185
    /// \brief Add a new box to the box list.
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
      boxes.push_back(RadixBox(min, bs));
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
      if (!lower(data[index].box, data[index].prio)) return;
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(data[index].box, data[index].prio);
197
      int box = findUp(_data[index].box, _data[index].prio);
197 198
      insert(box, index);
198 199
    }
199 200

	
200
    /// \brief Find up the proper box for the item with the given prio.
201
    // Find up the proper box for the item with the given priority
201 202
    int findUp(int start, int pr) {
202 203
      while (lower(start, pr)) {
203
        if (++start == int(boxes.size())) {
204
        if (++start == int(_boxes.size())) {
204 205
          extend();
205 206
        }
... ...
@@ -208,38 +209,37 @@
208 209
    }
209 210

	
210
    /// \brief Move an item down into the proper box.
211
    void bubble_down(int index) {
212
      if (!upper(data[index].box, data[index].prio)) return;
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(data[index].box, data[index].prio);
215
      int box = findDown(_data[index].box, _data[index].prio);
215 216
      insert(box, index);
216 217
    }
217 218

	
218
    /// \brief Find up the proper box for the item with the given prio.
219
    // Find down the proper box for the item with the given priority
219 220
    int findDown(int start, int pr) {
220 221
      while (upper(start, pr)) {
221
        if (--start < 0) throw UnderFlowPriorityError();
222
        if (--start < 0) throw PriorityUnderflowError();
222 223
      }
223 224
      return start;
224 225
    }
225 226

	
226
    /// \brief Find the first not empty box.
227
    // Find the first non-empty box
227 228
    int findFirst() {
228 229
      int first = 0;
229
      while (boxes[first].first == -1) ++first;
230
      while (_boxes[first].first == -1) ++first;
230 231
      return first;
231 232
    }
232 233

	
233
    /// \brief Gives back the minimal prio of the box.
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
        if (data[k].prio < min) min = data[k].prio;
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
      }
239 240
      return min;
240 241
    }
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() {
245 245
      int box = findFirst();
... ...
@@ -247,29 +247,29 @@
247 247
      int min = minValue(box);
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 = boxes[box].first, next;
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;
257 257
      }
258 258
    }
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
          data[data[index].prev].next = index;
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
          boxes[data[index].box].first = index;
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[data[index].item] = index;
271
        _iim[_data[index].item] = index;
272 272
      }
273
      data.pop_back();
273
      _data.pop_back();
274 274
    }
275 275

	
... ...
@@ -278,78 +278,84 @@
278 278
    /// \brief Insert an item into the heap with the given priority.
279 279
    ///
280
    /// Adds \c i to the heap with priority \c p.
280
    /// This function inserts the given item into the heap with the
281
    /// given priority.
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 = data.size();
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(boxes.size() - 1, p);
293
      int box = findDown(_boxes.size() - 1, p);
291 294
      insert(box, n);
292 295
    }
293 296

	
294
    /// \brief Returns the item with minimum priority.
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 data[boxes[0].first].item;
303
      return _data[_boxes[0].first].item;
301 304
    }
302 305

	
303
    /// \brief Returns the minimum priority.
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 data[boxes[0].first].prio;
312
      return _data[_boxes[0].first].prio;
310 313
     }
311 314

	
312
    /// \brief Deletes the item with minimum priority.
315
    /// \brief Remove the item having minimum priority.
313 316
    ///
314
    /// This method deletes the item with minimum priority.
317
    /// This function removes the item having minimum priority.
315 318
    /// \pre The heap must be non-empty.
316 319
    void pop() {
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
      relocate_last(index);
324
      relocateLast(index);
322 325
    }
323 326

	
324
    /// \brief Deletes \c i from the heap.
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
    /// \param i The item to erase.
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) {
330 334
      int index = _iim[i];
331 335
      _iim[i] = POST_HEAP;
332 336
      remove(index);
333
      relocate_last(index);
337
      relocateLast(index);
334 338
   }
335 339

	
336
    /// \brief Returns the priority of \c i.
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 data[idx].prio;
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
    /// It may throw an \e UnderFlowPriorityException.
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) {
355 361
      int idx = _iim[i];
... ...
@@ -357,46 +363,45 @@
357 363
        push(i, p);
358 364
      }
359
      else if( p >= data[idx].prio ) {
360
        data[idx].prio = p;
361
        bubble_up(idx);
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
      }
366 372
    }
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
    /// \c should be greater or equal to the last removed item's priority.
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 Increases the priority of \c i to \c p.
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.
402 407
    State state(const Item &i) const {
... ...
@@ -406,9 +411,9 @@
406 411
    }
407 412

	
408
    /// \brief Sets the state of the \c item in the heap.
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
    /// better time complexity.
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.
414 419
    /// \param st The state. It should not be \c IN_HEAP.
Show white space 4 line context
... ...
@@ -10,4 +10,5 @@
10 10
SET(TESTS
11 11
  adaptors_test
12
  bellman_ford_test
12 13
  bfs_test
13 14
  circulation_test
Show white space 4 line context
... ...
@@ -8,4 +8,5 @@
8 8
check_PROGRAMS += \
9 9
	test/adaptors_test \
10
	test/bellman_ford_test \
10 11
	test/bfs_test \
11 12
	test/circulation_test \
... ...
@@ -53,4 +54,5 @@
53 54

	
54 55
test_adaptors_test_SOURCES = test/adaptors_test.cc
56
test_bellman_ford_test_SOURCES = test/bellman_ford_test.cc
55 57
test_bfs_test_SOURCES = test/bfs_test.cc
56 58
test_circulation_test_SOURCES = test/circulation_test.cc
Show white space 4 line context
... ...
@@ -89,4 +89,9 @@
89 89
    .flowMap(flow);
90 90

	
91
  const CirculationType::Elevator& elev = const_circ_test.elevator();
92
  circ_test.elevator(const_cast<CirculationType::Elevator&>(elev));
93
  CirculationType::Tolerance tol = const_circ_test.tolerance();
94
  circ_test.tolerance(tol);
95

	
91 96
  circ_test.init();
92 97
  circ_test.greedyInit();
Show white space 4 line context
... ...
@@ -26,5 +26,4 @@
26 26

	
27 27
#include <lemon/smart_graph.h>
28

	
29 28
#include <lemon/lgf_reader.h>
30 29
#include <lemon/dijkstra.h>
... ...
@@ -32,6 +31,10 @@
32 31

	
33 32
#include <lemon/bin_heap.h>
33
#include <lemon/fourary_heap.h>
34
#include <lemon/kary_heap.h>
34 35
#include <lemon/fib_heap.h>
36
#include <lemon/pairing_heap.h>
35 37
#include <lemon/radix_heap.h>
38
#include <lemon/binom_heap.h>
36 39
#include <lemon/bucket_heap.h>
37 40

	
... ...
@@ -90,9 +93,7 @@
90 93
void heapSortTest() {
91 94
  RangeMap<int> map(test_len, -1);
92

	
93 95
  Heap heap(map);
94 96

	
95 97
  std::vector<int> v(test_len);
96

	
97 98
  for (int i = 0; i < test_len; ++i) {
98 99
    v[i] = test_seq[i];
... ...
@@ -113,5 +114,4 @@
113 114

	
114 115
  std::vector<int> v(test_len);
115

	
116 116
  for (int i = 0; i < test_len; ++i) {
117 117
    v[i] = test_seq[i];
... ...
@@ -129,6 +129,4 @@
129 129
}
130 130

	
131

	
132

	
133 131
template <typename Heap>
134 132
void dijkstraHeapTest(const Digraph& digraph, const IntArcMap& length,
... ...
@@ -145,5 +143,5 @@
145 143
    if (dijkstra.reached(s)) {
146 144
      check( dijkstra.dist(t) - dijkstra.dist(s) <= length[a],
147
             "Error in a shortest path tree!");
145
             "Error in shortest path tree.");
148 146
    }
149 147
  }
... ...
@@ -154,5 +152,5 @@
154 152
      Node s = digraph.source(a);
155 153
      check( dijkstra.dist(n) - dijkstra.dist(s) == length[a],
156
             "Error in a shortest path tree!");
154
             "Error in shortest path tree.");
157 155
    }
158 156
  }
... ...
@@ -176,4 +174,5 @@
176 174
    run();
177 175

	
176
  // BinHeap
178 177
  {
179 178
    typedef BinHeap<Prio, ItemIntMap> IntHeap;
... ...
@@ -187,4 +186,29 @@
187 186
  }
188 187

	
188
  // FouraryHeap
189
  {
190
    typedef FouraryHeap<Prio, ItemIntMap> IntHeap;
191
    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
192
    heapSortTest<IntHeap>();
193
    heapIncreaseTest<IntHeap>();
194

	
195
    typedef FouraryHeap<Prio, IntNodeMap > NodeHeap;
196
    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
197
    dijkstraHeapTest<NodeHeap>(digraph, length, source);
198
  }
199

	
200
  // KaryHeap
201
  {
202
    typedef KaryHeap<Prio, ItemIntMap> IntHeap;
203
    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
204
    heapSortTest<IntHeap>();
205
    heapIncreaseTest<IntHeap>();
206

	
207
    typedef KaryHeap<Prio, IntNodeMap > NodeHeap;
208
    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
209
    dijkstraHeapTest<NodeHeap>(digraph, length, source);
210
  }
211

	
212
  // FibHeap
189 213
  {
190 214
    typedef FibHeap<Prio, ItemIntMap> IntHeap;
... ...
@@ -198,4 +222,17 @@
198 222
  }
199 223

	
224
  // PairingHeap
225
  {
226
    typedef PairingHeap<Prio, ItemIntMap> IntHeap;
227
    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
228
    heapSortTest<IntHeap>();
229
    heapIncreaseTest<IntHeap>();
230

	
231
    typedef PairingHeap<Prio, IntNodeMap > NodeHeap;
232
    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
233
    dijkstraHeapTest<NodeHeap>(digraph, length, source);
234
  }
235

	
236
  // RadixHeap
200 237
  {
201 238
    typedef RadixHeap<ItemIntMap> IntHeap;
... ...
@@ -209,4 +246,17 @@
209 246
  }
210 247

	
248
  // BinomHeap
249
  {
250
    typedef BinomHeap<Prio, ItemIntMap> IntHeap;
251
    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
252
    heapSortTest<IntHeap>();
253
    heapIncreaseTest<IntHeap>();
254

	
255
    typedef BinomHeap<Prio, IntNodeMap > NodeHeap;
256
    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
257
    dijkstraHeapTest<NodeHeap>(digraph, length, source);
258
  }
259

	
260
  // BucketHeap, SimpleBucketHeap
211 261
  {
212 262
    typedef BucketHeap<ItemIntMap> IntHeap;
... ...
@@ -218,7 +268,9 @@
218 268
    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
219 269
    dijkstraHeapTest<NodeHeap>(digraph, length, source);
270

	
271
    typedef SimpleBucketHeap<ItemIntMap> SimpleIntHeap;
272
    heapSortTest<SimpleIntHeap>();
220 273
  }
221 274

	
222

	
223 275
  return 0;
224 276
}
Show white space 4 line context
... ...
@@ -580,4 +580,38 @@
580 580
  }
581 581

	
582
  // CrossRefMap
583
  {
584
    typedef SmartDigraph Graph;
585
    DIGRAPH_TYPEDEFS(Graph);
586

	
587
    checkConcept<ReadWriteMap<Node, int>,
588
                 CrossRefMap<Graph, Node, int> >();
589
    
590
    Graph gr;
591
    typedef CrossRefMap<Graph, Node, char> CRMap;
592
    typedef CRMap::ValueIterator ValueIt;
593
    CRMap map(gr);
594
    
595
    Node n0 = gr.addNode();
596
    Node n1 = gr.addNode();
597
    Node n2 = gr.addNode();
598
    
599
    map.set(n0, 'A');
600
    map.set(n1, 'B');
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    map.set(n2, 'C');
602
    map.set(n2, 'A');
603
    map.set(n0, 'C');
604

	
605
    check(map[n0] == 'C' && map[n1] == 'B' && map[n2] == 'A',
606
          "Wrong CrossRefMap");
607
    check(map('A') == n2 && map.inverse()['A'] == n2, "Wrong CrossRefMap");
608
    check(map('B') == n1 && map.inverse()['B'] == n1, "Wrong CrossRefMap");
609
    check(map('C') == n0 && map.inverse()['C'] == n0, "Wrong CrossRefMap");
610

	
611
    ValueIt it = map.beginValue();
612
    check(*it++ == 'A' && *it++ == 'B' && *it++ == 'C' &&
613
          it == map.endValue(), "Wrong value iterator");
614
  }
615
  
582 616
  // Iterable bool map
583 617
  {
Show white space 4 line context
... ...
@@ -96,4 +96,9 @@
96 96
  const PreflowType& const_preflow_test = preflow_test;
97 97

	
98
  const PreflowType::Elevator& elev = const_preflow_test.elevator();
99
  preflow_test.elevator(const_cast<PreflowType::Elevator&>(elev));
100
  PreflowType::Tolerance tol = const_preflow_test.tolerance();
101
  preflow_test.tolerance(tol);
102

	
98 103
  preflow_test
99 104
    .capacityMap(cap)
Show white space 4 line context
... ...
@@ -36,8 +36,8 @@
36 36
        -e "s/Edge\>/_Ar_c_label_/g"\
37 37
        -e "s/\<edge\>/_ar_c_label_/g"\
38
        -e "s/_edge\>/_ar_c_label_/g"\
38
        -e "s/_edge\>/__ar_c_label_/g"\
39 39
        -e "s/Edges\>/_Ar_c_label_s/g"\
40 40
        -e "s/\<edges\>/_ar_c_label_s/g"\
41
        -e "s/_edges\>/_ar_c_label_s/g"\
41
        -e "s/_edges\>/__ar_c_label_s/g"\
42 42
        -e "s/\([Ee]\)dge\([a-z]\)/_\1d_ge_label_\2/g"\
43 43
        -e "s/\([a-z]\)edge/\1_ed_ge_label_/g"\
... ...
@@ -69,4 +69,9 @@
69 69
        -e "s/_GR_APH_TY_PEDE_FS_label_/GRAPH_TYPEDEFS/g"\
70 70
        -e "s/_DIGR_APH_TY_PEDE_FS_label_/DIGRAPH_TYPEDEFS/g"\
71
        -e "s/\<digraph_adaptor\.h\>/adaptors.h/g"\
72
        -e "s/\<digraph_utils\.h\>/core.h/g"\
73
        -e "s/\<digraph_reader\.h\>/lgf_reader.h/g"\
74
        -e "s/\<digraph_writer\.h\>/lgf_writer.h/g"\
75
        -e "s/\<topology\.h\>/connectivity.h/g"\
71 76
        -e "s/DigraphToEps/GraphToEps/g"\
72 77
        -e "s/digraphToEps/graphToEps/g"\
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