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kpeter (Peter Kovacs)
kpeter@inf.elte.hu
Doc improvements for Bfs, Dfs, Dijkstra (#185) - More precise references to overloaded member functions. - Hide the doc of the traits class parameters. - Better doc for named groups. - More precise doc for the case of multiple sources in Dfs.
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3 files changed with 277 insertions and 270 deletions:
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1 1
/* -*- mode: C++; indent-tabs-mode: nil; -*-
2 2
 *
3 3
 * This file is a part of LEMON, a generic C++ optimization library.
4 4
 *
5 5
 * Copyright (C) 2003-2008
6 6
 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
7 7
 * (Egervary Research Group on Combinatorial Optimization, EGRES).
8 8
 *
9 9
 * Permission to use, modify and distribute this software is granted
10 10
 * provided that this copyright notice appears in all copies. For
11 11
 * precise terms see the accompanying LICENSE file.
12 12
 *
13 13
 * This software is provided "AS IS" with no warranty of any kind,
14 14
 * express or implied, and with no claim as to its suitability for any
15 15
 * purpose.
16 16
 *
17 17
 */
18 18

	
19 19
#ifndef LEMON_BFS_H
20 20
#define LEMON_BFS_H
21 21

	
22 22
///\ingroup search
23 23
///\file
24 24
///\brief BFS algorithm.
25 25

	
26 26
#include <lemon/list_graph.h>
27 27
#include <lemon/bits/path_dump.h>
28 28
#include <lemon/core.h>
29 29
#include <lemon/error.h>
30 30
#include <lemon/maps.h>
31 31
#include <lemon/path.h>
32 32

	
33 33
namespace lemon {
34 34

	
35 35
  ///Default traits class of Bfs class.
36 36

	
37 37
  ///Default traits class of Bfs class.
38 38
  ///\tparam GR Digraph type.
39 39
  template<class GR>
40 40
  struct BfsDefaultTraits
41 41
  {
42 42
    ///The type of the digraph the algorithm runs on.
43 43
    typedef GR Digraph;
44 44

	
45 45
    ///\brief The type of the map that stores the predecessor
46 46
    ///arcs of the shortest paths.
47 47
    ///
48 48
    ///The type of the map that stores the predecessor
49 49
    ///arcs of the shortest paths.
50 50
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
51 51
    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
52 52
    ///Instantiates a PredMap.
53 53

	
54
    ///This function instantiates a PredMap.  
54
    ///This function instantiates a PredMap.
55 55
    ///\param g is the digraph, to which we would like to define the
56 56
    ///PredMap.
57 57
    static PredMap *createPredMap(const Digraph &g)
58 58
    {
59 59
      return new PredMap(g);
60 60
    }
61 61

	
62 62
    ///The type of the map that indicates which nodes are processed.
63 63

	
64 64
    ///The type of the map that indicates which nodes are processed.
65 65
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
66 66
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
67 67
    ///Instantiates a ProcessedMap.
68 68

	
69 69
    ///This function instantiates a ProcessedMap.
70 70
    ///\param g is the digraph, to which
71 71
    ///we would like to define the ProcessedMap
72 72
#ifdef DOXYGEN
73 73
    static ProcessedMap *createProcessedMap(const Digraph &g)
74 74
#else
75 75
    static ProcessedMap *createProcessedMap(const Digraph &)
76 76
#endif
77 77
    {
78 78
      return new ProcessedMap();
79 79
    }
80 80

	
81 81
    ///The type of the map that indicates which nodes are reached.
82 82

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

	
87 88
    ///This function instantiates a ReachedMap.
88 89
    ///\param g is the digraph, to which
89 90
    ///we would like to define the ReachedMap.
90 91
    static ReachedMap *createReachedMap(const Digraph &g)
91 92
    {
92 93
      return new ReachedMap(g);
93 94
    }
94 95

	
95 96
    ///The type of the map that stores the distances of the nodes.
96 97

	
97 98
    ///The type of the map that stores the distances of the nodes.
98 99
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
99 100
    typedef typename Digraph::template NodeMap<int> DistMap;
100 101
    ///Instantiates a DistMap.
101 102

	
102 103
    ///This function instantiates a DistMap.
103 104
    ///\param g is the digraph, to which we would like to define the
104 105
    ///DistMap.
105 106
    static DistMap *createDistMap(const Digraph &g)
106 107
    {
107 108
      return new DistMap(g);
108 109
    }
109 110
  };
110 111

	
111 112
  ///%BFS algorithm class.
112 113

	
113 114
  ///\ingroup search
114 115
  ///This class provides an efficient implementation of the %BFS algorithm.
115 116
  ///
116 117
  ///There is also a \ref bfs() "function-type interface" for the BFS
117 118
  ///algorithm, which is convenient in the simplier cases and it can be
118 119
  ///used easier.
119 120
  ///
120 121
  ///\tparam GR The type of the digraph the algorithm runs on.
121
  ///The default value is \ref ListDigraph. The value of GR is not used
122
  ///directly by \ref Bfs, it is only passed to \ref BfsDefaultTraits.
123
  ///\tparam TR Traits class to set various data types used by the algorithm.
124
  ///The default traits class is
125
  ///\ref BfsDefaultTraits "BfsDefaultTraits<GR>".
126
  ///See \ref BfsDefaultTraits for the documentation of
127
  ///a Bfs traits class.
122
  ///The default type is \ref ListDigraph.
128 123
#ifdef DOXYGEN
129 124
  template <typename GR,
130 125
            typename TR>
131 126
#else
132 127
  template <typename GR=ListDigraph,
133 128
            typename TR=BfsDefaultTraits<GR> >
134 129
#endif
135 130
  class Bfs {
136 131
  public:
137 132

	
138 133
    ///The type of the digraph the algorithm runs on.
139 134
    typedef typename TR::Digraph Digraph;
140 135

	
141 136
    ///\brief The type of the map that stores the predecessor arcs of the
142 137
    ///shortest paths.
143 138
    typedef typename TR::PredMap PredMap;
144 139
    ///The type of the map that stores the distances of the nodes.
145 140
    typedef typename TR::DistMap DistMap;
146 141
    ///The type of the map that indicates which nodes are reached.
147 142
    typedef typename TR::ReachedMap ReachedMap;
148 143
    ///The type of the map that indicates which nodes are processed.
149 144
    typedef typename TR::ProcessedMap ProcessedMap;
150 145
    ///The type of the paths.
151 146
    typedef PredMapPath<Digraph, PredMap> Path;
152 147

	
153
    ///The traits class.
148
    ///The \ref BfsDefaultTraits "traits class" of the algorithm.
154 149
    typedef TR Traits;
155 150

	
156 151
  private:
157 152

	
158 153
    typedef typename Digraph::Node Node;
159 154
    typedef typename Digraph::NodeIt NodeIt;
160 155
    typedef typename Digraph::Arc Arc;
161 156
    typedef typename Digraph::OutArcIt OutArcIt;
162 157

	
163 158
    //Pointer to the underlying digraph.
164 159
    const Digraph *G;
165 160
    //Pointer to the map of predecessor arcs.
166 161
    PredMap *_pred;
167 162
    //Indicates if _pred is locally allocated (true) or not.
168 163
    bool local_pred;
169 164
    //Pointer to the map of distances.
170 165
    DistMap *_dist;
171 166
    //Indicates if _dist is locally allocated (true) or not.
172 167
    bool local_dist;
173 168
    //Pointer to the map of reached status of the nodes.
174 169
    ReachedMap *_reached;
175 170
    //Indicates if _reached is locally allocated (true) or not.
176 171
    bool local_reached;
177 172
    //Pointer to the map of processed status of the nodes.
178 173
    ProcessedMap *_processed;
179 174
    //Indicates if _processed is locally allocated (true) or not.
180 175
    bool local_processed;
181 176

	
182 177
    std::vector<typename Digraph::Node> _queue;
183 178
    int _queue_head,_queue_tail,_queue_next_dist;
184 179
    int _curr_dist;
185 180

	
186 181
    //Creates the maps if necessary.
187 182
    void create_maps()
188 183
    {
189 184
      if(!_pred) {
190 185
        local_pred = true;
191 186
        _pred = Traits::createPredMap(*G);
192 187
      }
193 188
      if(!_dist) {
194 189
        local_dist = true;
195 190
        _dist = Traits::createDistMap(*G);
196 191
      }
197 192
      if(!_reached) {
198 193
        local_reached = true;
199 194
        _reached = Traits::createReachedMap(*G);
200 195
      }
201 196
      if(!_processed) {
202 197
        local_processed = true;
203 198
        _processed = Traits::createProcessedMap(*G);
204 199
      }
205 200
    }
206 201

	
207 202
  protected:
208 203

	
209 204
    Bfs() {}
210 205

	
211 206
  public:
212 207

	
213 208
    typedef Bfs Create;
214 209

	
215
    ///\name Named template parameters
210
    ///\name Named Template Parameters
216 211

	
217 212
    ///@{
218 213

	
219 214
    template <class T>
220 215
    struct SetPredMapTraits : public Traits {
221 216
      typedef T PredMap;
222 217
      static PredMap *createPredMap(const Digraph &)
223 218
      {
224 219
        LEMON_ASSERT(false, "PredMap is not initialized");
225 220
        return 0; // ignore warnings
226 221
      }
227 222
    };
228 223
    ///\brief \ref named-templ-param "Named parameter" for setting
229 224
    ///PredMap type.
230 225
    ///
231 226
    ///\ref named-templ-param "Named parameter" for setting
232 227
    ///PredMap type.
228
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
233 229
    template <class T>
234 230
    struct SetPredMap : public Bfs< Digraph, SetPredMapTraits<T> > {
235 231
      typedef Bfs< Digraph, SetPredMapTraits<T> > Create;
236 232
    };
237 233

	
238 234
    template <class T>
239 235
    struct SetDistMapTraits : public Traits {
240 236
      typedef T DistMap;
241 237
      static DistMap *createDistMap(const Digraph &)
242 238
      {
243 239
        LEMON_ASSERT(false, "DistMap is not initialized");
244 240
        return 0; // ignore warnings
245 241
      }
246 242
    };
247 243
    ///\brief \ref named-templ-param "Named parameter" for setting
248 244
    ///DistMap type.
249 245
    ///
250 246
    ///\ref named-templ-param "Named parameter" for setting
251 247
    ///DistMap type.
248
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
252 249
    template <class T>
253 250
    struct SetDistMap : public Bfs< Digraph, SetDistMapTraits<T> > {
254 251
      typedef Bfs< Digraph, SetDistMapTraits<T> > Create;
255 252
    };
256 253

	
257 254
    template <class T>
258 255
    struct SetReachedMapTraits : public Traits {
259 256
      typedef T ReachedMap;
260 257
      static ReachedMap *createReachedMap(const Digraph &)
261 258
      {
262 259
        LEMON_ASSERT(false, "ReachedMap is not initialized");
263 260
        return 0; // ignore warnings
264 261
      }
265 262
    };
266 263
    ///\brief \ref named-templ-param "Named parameter" for setting
267 264
    ///ReachedMap type.
268 265
    ///
269 266
    ///\ref named-templ-param "Named parameter" for setting
270 267
    ///ReachedMap type.
268
    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
271 269
    template <class T>
272 270
    struct SetReachedMap : public Bfs< Digraph, SetReachedMapTraits<T> > {
273 271
      typedef Bfs< Digraph, SetReachedMapTraits<T> > Create;
274 272
    };
275 273

	
276 274
    template <class T>
277 275
    struct SetProcessedMapTraits : public Traits {
278 276
      typedef T ProcessedMap;
279 277
      static ProcessedMap *createProcessedMap(const Digraph &)
280 278
      {
281 279
        LEMON_ASSERT(false, "ProcessedMap is not initialized");
282 280
        return 0; // ignore warnings
283 281
      }
284 282
    };
285 283
    ///\brief \ref named-templ-param "Named parameter" for setting
286 284
    ///ProcessedMap type.
287 285
    ///
288 286
    ///\ref named-templ-param "Named parameter" for setting
289 287
    ///ProcessedMap type.
288
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
290 289
    template <class T>
291 290
    struct SetProcessedMap : public Bfs< Digraph, SetProcessedMapTraits<T> > {
292 291
      typedef Bfs< Digraph, SetProcessedMapTraits<T> > Create;
293 292
    };
294 293

	
295 294
    struct SetStandardProcessedMapTraits : public Traits {
296 295
      typedef typename Digraph::template NodeMap<bool> ProcessedMap;
297 296
      static ProcessedMap *createProcessedMap(const Digraph &g)
298 297
      {
299 298
        return new ProcessedMap(g);
300 299
        return 0; // ignore warnings
301 300
      }
302 301
    };
303 302
    ///\brief \ref named-templ-param "Named parameter" for setting
304 303
    ///ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
305 304
    ///
306 305
    ///\ref named-templ-param "Named parameter" for setting
307 306
    ///ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
308 307
    ///If you don't set it explicitly, it will be automatically allocated.
309 308
    struct SetStandardProcessedMap :
310 309
      public Bfs< Digraph, SetStandardProcessedMapTraits > {
311 310
      typedef Bfs< Digraph, SetStandardProcessedMapTraits > Create;
312 311
    };
313 312

	
314 313
    ///@}
315 314

	
316 315
  public:
317 316

	
318 317
    ///Constructor.
319 318

	
320 319
    ///Constructor.
321 320
    ///\param g The digraph the algorithm runs on.
322 321
    Bfs(const Digraph &g) :
323 322
      G(&g),
324 323
      _pred(NULL), local_pred(false),
325 324
      _dist(NULL), local_dist(false),
326 325
      _reached(NULL), local_reached(false),
327 326
      _processed(NULL), local_processed(false)
328 327
    { }
329 328

	
330 329
    ///Destructor.
331 330
    ~Bfs()
332 331
    {
333 332
      if(local_pred) delete _pred;
334 333
      if(local_dist) delete _dist;
335 334
      if(local_reached) delete _reached;
336 335
      if(local_processed) delete _processed;
337 336
    }
338 337

	
339 338
    ///Sets the map that stores the predecessor arcs.
340 339

	
341 340
    ///Sets the map that stores the predecessor arcs.
342
    ///If you don't use this function before calling \ref run(),
343
    ///it will allocate one. The destructor deallocates this
344
    ///automatically allocated map, of course.
341
    ///If you don't use this function before calling \ref run(Node) "run()"
342
    ///or \ref init(), an instance will be allocated automatically.
343
    ///The destructor deallocates this automatically allocated map,
344
    ///of course.
345 345
    ///\return <tt> (*this) </tt>
346 346
    Bfs &predMap(PredMap &m)
347 347
    {
348 348
      if(local_pred) {
349 349
        delete _pred;
350 350
        local_pred=false;
351 351
      }
352 352
      _pred = &m;
353 353
      return *this;
354 354
    }
355 355

	
356 356
    ///Sets the map that indicates which nodes are reached.
357 357

	
358 358
    ///Sets the map that indicates which nodes are reached.
359
    ///If you don't use this function before calling \ref run(),
360
    ///it will allocate one. The destructor deallocates this
361
    ///automatically allocated map, of course.
359
    ///If you don't use this function before calling \ref run(Node) "run()"
360
    ///or \ref init(), an instance will be allocated automatically.
361
    ///The destructor deallocates this automatically allocated map,
362
    ///of course.
362 363
    ///\return <tt> (*this) </tt>
363 364
    Bfs &reachedMap(ReachedMap &m)
364 365
    {
365 366
      if(local_reached) {
366 367
        delete _reached;
367 368
        local_reached=false;
368 369
      }
369 370
      _reached = &m;
370 371
      return *this;
371 372
    }
372 373

	
373 374
    ///Sets the map that indicates which nodes are processed.
374 375

	
375 376
    ///Sets the map that indicates which nodes are processed.
376
    ///If you don't use this function before calling \ref run(),
377
    ///it will allocate one. The destructor deallocates this
378
    ///automatically allocated map, of course.
377
    ///If you don't use this function before calling \ref run(Node) "run()"
378
    ///or \ref init(), an instance will be allocated automatically.
379
    ///The destructor deallocates this automatically allocated map,
380
    ///of course.
379 381
    ///\return <tt> (*this) </tt>
380 382
    Bfs &processedMap(ProcessedMap &m)
381 383
    {
382 384
      if(local_processed) {
383 385
        delete _processed;
384 386
        local_processed=false;
385 387
      }
386 388
      _processed = &m;
387 389
      return *this;
388 390
    }
389 391

	
390 392
    ///Sets the map that stores the distances of the nodes.
391 393

	
392 394
    ///Sets the map that stores the distances of the nodes calculated by
393 395
    ///the algorithm.
394
    ///If you don't use this function before calling \ref run(),
395
    ///it will allocate one. The destructor deallocates this
396
    ///automatically allocated map, of course.
396
    ///If you don't use this function before calling \ref run(Node) "run()"
397
    ///or \ref init(), an instance will be allocated automatically.
398
    ///The destructor deallocates this automatically allocated map,
399
    ///of course.
397 400
    ///\return <tt> (*this) </tt>
398 401
    Bfs &distMap(DistMap &m)
399 402
    {
400 403
      if(local_dist) {
401 404
        delete _dist;
402 405
        local_dist=false;
403 406
      }
404 407
      _dist = &m;
405 408
      return *this;
406 409
    }
407 410

	
408 411
  public:
409 412

	
410
    ///\name Execution control
411
    ///The simplest way to execute the algorithm is to use
412
    ///one of the member functions called \ref lemon::Bfs::run() "run()".
413
    ///\n
414
    ///If you need more control on the execution, first you must call
415
    ///\ref lemon::Bfs::init() "init()", then you can add several source
416
    ///nodes with \ref lemon::Bfs::addSource() "addSource()".
417
    ///Finally \ref lemon::Bfs::start() "start()" will perform the
418
    ///actual path computation.
413
    ///\name Execution Control
414
    ///The simplest way to execute the BFS algorithm is to use one of the
415
    ///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
418
    ///\ref addSource(). Finally the actual path computation can be
419
    ///performed with one of the \ref start() functions.
419 420

	
420 421
    ///@{
421 422

	
423
    ///\brief Initializes the internal data structures.
424
    ///
422 425
    ///Initializes the internal data structures.
423

	
424
    ///Initializes the internal data structures.
425
    ///
426 426
    void init()
427 427
    {
428 428
      create_maps();
429 429
      _queue.resize(countNodes(*G));
430 430
      _queue_head=_queue_tail=0;
431 431
      _curr_dist=1;
432 432
      for ( NodeIt u(*G) ; u!=INVALID ; ++u ) {
433 433
        _pred->set(u,INVALID);
434 434
        _reached->set(u,false);
435 435
        _processed->set(u,false);
436 436
      }
437 437
    }
438 438

	
439 439
    ///Adds a new source node.
440 440

	
441 441
    ///Adds a new source node to the set of nodes to be processed.
442 442
    ///
443 443
    void addSource(Node s)
444 444
    {
445 445
      if(!(*_reached)[s])
446 446
        {
447 447
          _reached->set(s,true);
448 448
          _pred->set(s,INVALID);
449 449
          _dist->set(s,0);
450 450
          _queue[_queue_head++]=s;
451 451
          _queue_next_dist=_queue_head;
452 452
        }
453 453
    }
454 454

	
455 455
    ///Processes the next node.
456 456

	
457 457
    ///Processes the next node.
458 458
    ///
459 459
    ///\return The processed node.
460 460
    ///
461 461
    ///\pre The queue must not be empty.
462 462
    Node processNextNode()
463 463
    {
464 464
      if(_queue_tail==_queue_next_dist) {
465 465
        _curr_dist++;
466 466
        _queue_next_dist=_queue_head;
467 467
      }
468 468
      Node n=_queue[_queue_tail++];
469 469
      _processed->set(n,true);
470 470
      Node m;
471 471
      for(OutArcIt e(*G,n);e!=INVALID;++e)
472 472
        if(!(*_reached)[m=G->target(e)]) {
473 473
          _queue[_queue_head++]=m;
474 474
          _reached->set(m,true);
475 475
          _pred->set(m,e);
476 476
          _dist->set(m,_curr_dist);
477 477
        }
478 478
      return n;
479 479
    }
480 480

	
481 481
    ///Processes the next node.
482 482

	
483 483
    ///Processes the next node and checks if the given target node
484 484
    ///is reached. If the target node is reachable from the processed
485 485
    ///node, then the \c reach parameter will be set to \c true.
486 486
    ///
487 487
    ///\param target The target node.
488 488
    ///\retval reach Indicates if the target node is reached.
489 489
    ///It should be initially \c false.
490 490
    ///
491 491
    ///\return The processed node.
492 492
    ///
493 493
    ///\pre The queue must not be empty.
494 494
    Node processNextNode(Node target, bool& reach)
495 495
    {
496 496
      if(_queue_tail==_queue_next_dist) {
497 497
        _curr_dist++;
498 498
        _queue_next_dist=_queue_head;
499 499
      }
500 500
      Node n=_queue[_queue_tail++];
501 501
      _processed->set(n,true);
502 502
      Node m;
503 503
      for(OutArcIt e(*G,n);e!=INVALID;++e)
504 504
        if(!(*_reached)[m=G->target(e)]) {
505 505
          _queue[_queue_head++]=m;
506 506
          _reached->set(m,true);
507 507
          _pred->set(m,e);
508 508
          _dist->set(m,_curr_dist);
509 509
          reach = reach || (target == m);
510 510
        }
511 511
      return n;
512 512
    }
513 513

	
514 514
    ///Processes the next node.
515 515

	
516 516
    ///Processes the next node and checks if at least one of reached
517 517
    ///nodes has \c true value in the \c nm node map. If one node
518 518
    ///with \c true value is reachable from the processed node, then the
519 519
    ///\c rnode parameter will be set to the first of such nodes.
520 520
    ///
521 521
    ///\param nm A \c bool (or convertible) node map that indicates the
522 522
    ///possible targets.
523 523
    ///\retval rnode The reached target node.
524 524
    ///It should be initially \c INVALID.
525 525
    ///
526 526
    ///\return The processed node.
527 527
    ///
528 528
    ///\pre The queue must not be empty.
529 529
    template<class NM>
530 530
    Node processNextNode(const NM& nm, Node& rnode)
531 531
    {
532 532
      if(_queue_tail==_queue_next_dist) {
533 533
        _curr_dist++;
534 534
        _queue_next_dist=_queue_head;
535 535
      }
536 536
      Node n=_queue[_queue_tail++];
537 537
      _processed->set(n,true);
538 538
      Node m;
539 539
      for(OutArcIt e(*G,n);e!=INVALID;++e)
540 540
        if(!(*_reached)[m=G->target(e)]) {
541 541
          _queue[_queue_head++]=m;
542 542
          _reached->set(m,true);
543 543
          _pred->set(m,e);
544 544
          _dist->set(m,_curr_dist);
545 545
          if (nm[m] && rnode == INVALID) rnode = m;
546 546
        }
547 547
      return n;
548 548
    }
549 549

	
550 550
    ///The next node to be processed.
551 551

	
552 552
    ///Returns the next node to be processed or \c INVALID if the queue
553 553
    ///is empty.
554 554
    Node nextNode() const
555 555
    {
556 556
      return _queue_tail<_queue_head?_queue[_queue_tail]:INVALID;
557 557
    }
558 558

	
559
    ///\brief Returns \c false if there are nodes
560
    ///to be processed.
561
    ///
562
    ///Returns \c false if there are nodes
563
    ///to be processed in the queue.
559
    ///Returns \c false if there are nodes to be processed.
560

	
561
    ///Returns \c false if there are nodes to be processed
562
    ///in the queue.
564 563
    bool emptyQueue() const { return _queue_tail==_queue_head; }
565 564

	
566 565
    ///Returns the number of the nodes to be processed.
567 566

	
568
    ///Returns the number of the nodes to be processed in the queue.
567
    ///Returns the number of the nodes to be processed
568
    ///in the queue.
569 569
    int queueSize() const { return _queue_head-_queue_tail; }
570 570

	
571 571
    ///Executes the algorithm.
572 572

	
573 573
    ///Executes the algorithm.
574 574
    ///
575 575
    ///This method runs the %BFS algorithm from the root node(s)
576 576
    ///in order to compute the shortest path to each node.
577 577
    ///
578 578
    ///The algorithm computes
579 579
    ///- the shortest path tree (forest),
580 580
    ///- the distance of each node from the root(s).
581 581
    ///
582 582
    ///\pre init() must be called and at least one root node should be
583 583
    ///added with addSource() before using this function.
584 584
    ///
585 585
    ///\note <tt>b.start()</tt> is just a shortcut of the following code.
586 586
    ///\code
587 587
    ///  while ( !b.emptyQueue() ) {
588 588
    ///    b.processNextNode();
589 589
    ///  }
590 590
    ///\endcode
591 591
    void start()
592 592
    {
593 593
      while ( !emptyQueue() ) processNextNode();
594 594
    }
595 595

	
596 596
    ///Executes the algorithm until the given target node is reached.
597 597

	
598 598
    ///Executes the algorithm until the given target node is reached.
599 599
    ///
600 600
    ///This method runs the %BFS algorithm from the root node(s)
601 601
    ///in order to compute the shortest path to \c t.
602 602
    ///
603 603
    ///The algorithm computes
604 604
    ///- the shortest path to \c t,
605 605
    ///- the distance of \c t from the root(s).
606 606
    ///
607 607
    ///\pre init() must be called and at least one root node should be
608 608
    ///added with addSource() before using this function.
609 609
    ///
610 610
    ///\note <tt>b.start(t)</tt> is just a shortcut of the following code.
611 611
    ///\code
612 612
    ///  bool reach = false;
613 613
    ///  while ( !b.emptyQueue() && !reach ) {
614 614
    ///    b.processNextNode(t, reach);
615 615
    ///  }
616 616
    ///\endcode
617 617
    void start(Node t)
618 618
    {
619 619
      bool reach = false;
620 620
      while ( !emptyQueue() && !reach ) processNextNode(t, reach);
621 621
    }
622 622

	
623 623
    ///Executes the algorithm until a condition is met.
624 624

	
625 625
    ///Executes the algorithm until a condition is met.
626 626
    ///
627 627
    ///This method runs the %BFS algorithm from the root node(s) in
628 628
    ///order to compute the shortest path to a node \c v with
629 629
    /// <tt>nm[v]</tt> true, if such a node can be found.
630 630
    ///
631 631
    ///\param nm A \c bool (or convertible) node map. The algorithm
632 632
    ///will stop when it reaches a node \c v with <tt>nm[v]</tt> true.
633 633
    ///
634 634
    ///\return The reached node \c v with <tt>nm[v]</tt> true or
635 635
    ///\c INVALID if no such node was found.
636 636
    ///
637 637
    ///\pre init() must be called and at least one root node should be
638 638
    ///added with addSource() before using this function.
639 639
    ///
640 640
    ///\note <tt>b.start(nm)</tt> is just a shortcut of the following code.
641 641
    ///\code
642 642
    ///  Node rnode = INVALID;
643 643
    ///  while ( !b.emptyQueue() && rnode == INVALID ) {
644 644
    ///    b.processNextNode(nm, rnode);
645 645
    ///  }
646 646
    ///  return rnode;
647 647
    ///\endcode
648 648
    template<class NodeBoolMap>
649 649
    Node start(const NodeBoolMap &nm)
650 650
    {
651 651
      Node rnode = INVALID;
652 652
      while ( !emptyQueue() && rnode == INVALID ) {
653 653
        processNextNode(nm, rnode);
654 654
      }
655 655
      return rnode;
656 656
    }
657 657

	
658 658
    ///Runs the algorithm from the given source node.
659 659

	
660 660
    ///This method runs the %BFS algorithm from node \c s
661 661
    ///in order to compute the shortest path to each node.
662 662
    ///
663 663
    ///The algorithm computes
664 664
    ///- the shortest path tree,
665 665
    ///- the distance of each node from the root.
666 666
    ///
667 667
    ///\note <tt>b.run(s)</tt> is just a shortcut of the following code.
668 668
    ///\code
669 669
    ///  b.init();
670 670
    ///  b.addSource(s);
671 671
    ///  b.start();
672 672
    ///\endcode
673 673
    void run(Node s) {
674 674
      init();
675 675
      addSource(s);
676 676
      start();
677 677
    }
678 678

	
679 679
    ///Finds the shortest path between \c s and \c t.
680 680

	
681 681
    ///This method runs the %BFS algorithm from node \c s
682 682
    ///in order to compute the shortest path to node \c t
683 683
    ///(it stops searching when \c t is processed).
684 684
    ///
685 685
    ///\return \c true if \c t is reachable form \c s.
686 686
    ///
687 687
    ///\note Apart from the return value, <tt>b.run(s,t)</tt> is just a
688 688
    ///shortcut of the following code.
689 689
    ///\code
690 690
    ///  b.init();
691 691
    ///  b.addSource(s);
692 692
    ///  b.start(t);
693 693
    ///\endcode
694 694
    bool run(Node s,Node t) {
695 695
      init();
696 696
      addSource(s);
697 697
      start(t);
698 698
      return reached(t);
699 699
    }
700 700

	
701 701
    ///Runs the algorithm to visit all nodes in the digraph.
702 702

	
703 703
    ///This method runs the %BFS algorithm in order to
704 704
    ///compute the shortest path to each node.
705 705
    ///
706 706
    ///The algorithm computes
707 707
    ///- the shortest path tree (forest),
708 708
    ///- the distance of each node from the root(s).
709 709
    ///
710 710
    ///\note <tt>b.run(s)</tt> is just a shortcut of the following code.
711 711
    ///\code
712 712
    ///  b.init();
713 713
    ///  for (NodeIt n(gr); n != INVALID; ++n) {
714 714
    ///    if (!b.reached(n)) {
715 715
    ///      b.addSource(n);
716 716
    ///      b.start();
717 717
    ///    }
718 718
    ///  }
719 719
    ///\endcode
720 720
    void run() {
721 721
      init();
722 722
      for (NodeIt n(*G); n != INVALID; ++n) {
723 723
        if (!reached(n)) {
724 724
          addSource(n);
725 725
          start();
726 726
        }
727 727
      }
728 728
    }
729 729

	
730 730
    ///@}
731 731

	
732 732
    ///\name Query Functions
733
    ///The result of the %BFS algorithm can be obtained using these
733
    ///The results of the BFS algorithm can be obtained using these
734 734
    ///functions.\n
735
    ///Either \ref lemon::Bfs::run() "run()" or \ref lemon::Bfs::start()
736
    ///"start()" must be called before using them.
735
    ///Either \ref run(Node) "run()" or \ref start() should be called
736
    ///before using them.
737 737

	
738 738
    ///@{
739 739

	
740 740
    ///The shortest path to a node.
741 741

	
742 742
    ///Returns the shortest path to a node.
743 743
    ///
744
    ///\warning \c t should be reachable from the root(s).
744
    ///\warning \c t should be reached from the root(s).
745 745
    ///
746
    ///\pre Either \ref run() or \ref start() must be called before
747
    ///using this function.
746
    ///\pre Either \ref run(Node) "run()" or \ref init()
747
    ///must be called before using this function.
748 748
    Path path(Node t) const { return Path(*G, *_pred, t); }
749 749

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

	
752 752
    ///Returns the distance of a node from the root(s).
753 753
    ///
754
    ///\warning If node \c v is not reachable from the root(s), then
754
    ///\warning If node \c v is not reached from the root(s), then
755 755
    ///the return value of this function is undefined.
756 756
    ///
757
    ///\pre Either \ref run() or \ref start() must be called before
758
    ///using this function.
757
    ///\pre Either \ref run(Node) "run()" or \ref init()
758
    ///must be called before using this function.
759 759
    int dist(Node v) const { return (*_dist)[v]; }
760 760

	
761 761
    ///Returns the 'previous arc' of the shortest path tree for a node.
762 762

	
763 763
    ///This function returns the 'previous arc' of the shortest path
764 764
    ///tree for the node \c v, i.e. it returns the last arc of a
765
    ///shortest path from the root(s) to \c v. It is \c INVALID if \c v
766
    ///is not reachable from the root(s) or if \c v is a root.
765
    ///shortest path from a root to \c v. It is \c INVALID if \c v
766
    ///is not reached from the root(s) or if \c v is a root.
767 767
    ///
768 768
    ///The shortest path tree used here is equal to the shortest path
769 769
    ///tree used in \ref predNode().
770 770
    ///
771
    ///\pre Either \ref run() or \ref start() must be called before
772
    ///using this function.
771
    ///\pre Either \ref run(Node) "run()" or \ref init()
772
    ///must be called before using this function.
773 773
    Arc predArc(Node v) const { return (*_pred)[v];}
774 774

	
775 775
    ///Returns the 'previous node' of the shortest path tree for a node.
776 776

	
777 777
    ///This function returns the 'previous node' of the shortest path
778 778
    ///tree for the node \c v, i.e. it returns the last but one node
779
    ///from a shortest path from the root(s) to \c v. It is \c INVALID
780
    ///if \c v is not reachable from the root(s) or if \c v is a root.
779
    ///from a shortest path from a root to \c v. It is \c INVALID
780
    ///if \c v is not reached from the root(s) or if \c v is a root.
781 781
    ///
782 782
    ///The shortest path tree used here is equal to the shortest path
783 783
    ///tree used in \ref predArc().
784 784
    ///
785
    ///\pre Either \ref run() or \ref start() must be called before
786
    ///using this function.
785
    ///\pre Either \ref run(Node) "run()" or \ref init()
786
    ///must be called before using this function.
787 787
    Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID:
788 788
                                  G->source((*_pred)[v]); }
789 789

	
790 790
    ///\brief Returns a const reference to the node map that stores the
791 791
    /// distances of the nodes.
792 792
    ///
793 793
    ///Returns a const reference to the node map that stores the distances
794 794
    ///of the nodes calculated by the algorithm.
795 795
    ///
796
    ///\pre Either \ref run() or \ref init()
796
    ///\pre Either \ref run(Node) "run()" or \ref init()
797 797
    ///must be called before using this function.
798 798
    const DistMap &distMap() const { return *_dist;}
799 799

	
800 800
    ///\brief Returns a const reference to the node map that stores the
801 801
    ///predecessor arcs.
802 802
    ///
803 803
    ///Returns a const reference to the node map that stores the predecessor
804 804
    ///arcs, which form the shortest path tree.
805 805
    ///
806
    ///\pre Either \ref run() or \ref init()
806
    ///\pre Either \ref run(Node) "run()" or \ref init()
807 807
    ///must be called before using this function.
808 808
    const PredMap &predMap() const { return *_pred;}
809 809

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

	
812
    ///Returns \c true if \c v is reachable from the root(s).
813
    ///\pre Either \ref run() or \ref start()
812
    ///Returns \c true if \c v is reached from the root(s).
813
    ///
814
    ///\pre Either \ref run(Node) "run()" or \ref init()
814 815
    ///must be called before using this function.
815 816
    bool reached(Node v) const { return (*_reached)[v]; }
816 817

	
817 818
    ///@}
818 819
  };
819 820

	
820 821
  ///Default traits class of bfs() function.
821 822

	
822 823
  ///Default traits class of bfs() function.
823 824
  ///\tparam GR Digraph type.
824 825
  template<class GR>
825 826
  struct BfsWizardDefaultTraits
826 827
  {
827 828
    ///The type of the digraph the algorithm runs on.
828 829
    typedef GR Digraph;
829 830

	
830 831
    ///\brief The type of the map that stores the predecessor
831 832
    ///arcs of the shortest paths.
832 833
    ///
833 834
    ///The type of the map that stores the predecessor
834 835
    ///arcs of the shortest paths.
835 836
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
836 837
    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
837 838
    ///Instantiates a PredMap.
838 839

	
839 840
    ///This function instantiates a PredMap.
840 841
    ///\param g is the digraph, to which we would like to define the
841 842
    ///PredMap.
842 843
    static PredMap *createPredMap(const Digraph &g)
843 844
    {
844 845
      return new PredMap(g);
845 846
    }
846 847

	
847 848
    ///The type of the map that indicates which nodes are processed.
848 849

	
849 850
    ///The type of the map that indicates which nodes are processed.
850 851
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
851 852
    ///By default it is a NullMap.
852 853
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
853 854
    ///Instantiates a ProcessedMap.
854 855

	
855 856
    ///This function instantiates a ProcessedMap.
856 857
    ///\param g is the digraph, to which
857 858
    ///we would like to define the ProcessedMap.
858 859
#ifdef DOXYGEN
859 860
    static ProcessedMap *createProcessedMap(const Digraph &g)
860 861
#else
861 862
    static ProcessedMap *createProcessedMap(const Digraph &)
862 863
#endif
863 864
    {
864 865
      return new ProcessedMap();
865 866
    }
866 867

	
867 868
    ///The type of the map that indicates which nodes are reached.
868 869

	
869 870
    ///The type of the map that indicates which nodes are reached.
870 871
    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
871 872
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
872 873
    ///Instantiates a ReachedMap.
873 874

	
874 875
    ///This function instantiates a ReachedMap.
875 876
    ///\param g is the digraph, to which
876 877
    ///we would like to define the ReachedMap.
877 878
    static ReachedMap *createReachedMap(const Digraph &g)
878 879
    {
879 880
      return new ReachedMap(g);
880 881
    }
881 882

	
882 883
    ///The type of the map that stores the distances of the nodes.
883 884

	
884 885
    ///The type of the map that stores the distances of the nodes.
885 886
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
886 887
    typedef typename Digraph::template NodeMap<int> DistMap;
887 888
    ///Instantiates a DistMap.
888 889

	
889 890
    ///This function instantiates a DistMap.
890 891
    ///\param g is the digraph, to which we would like to define
891 892
    ///the DistMap
892 893
    static DistMap *createDistMap(const Digraph &g)
893 894
    {
894 895
      return new DistMap(g);
895 896
    }
896 897

	
897 898
    ///The type of the shortest paths.
898 899

	
899 900
    ///The type of the shortest paths.
900 901
    ///It must meet the \ref concepts::Path "Path" concept.
901 902
    typedef lemon::Path<Digraph> Path;
902 903
  };
903 904

	
904 905
  /// Default traits class used by BfsWizard
905 906

	
906 907
  /// To make it easier to use Bfs algorithm
907 908
  /// we have created a wizard class.
908 909
  /// This \ref BfsWizard class needs default traits,
909 910
  /// as well as the \ref Bfs class.
910 911
  /// The \ref BfsWizardBase is a class to be the default traits of the
911 912
  /// \ref BfsWizard class.
912 913
  template<class GR>
913 914
  class BfsWizardBase : public BfsWizardDefaultTraits<GR>
914 915
  {
915 916

	
916 917
    typedef BfsWizardDefaultTraits<GR> Base;
917 918
  protected:
918 919
    //The type of the nodes in the digraph.
919 920
    typedef typename Base::Digraph::Node Node;
920 921

	
921 922
    //Pointer to the digraph the algorithm runs on.
922 923
    void *_g;
923 924
    //Pointer to the map of reached nodes.
924 925
    void *_reached;
925 926
    //Pointer to the map of processed nodes.
926 927
    void *_processed;
927 928
    //Pointer to the map of predecessors arcs.
928 929
    void *_pred;
929 930
    //Pointer to the map of distances.
930 931
    void *_dist;
931 932
    //Pointer to the shortest path to the target node.
932 933
    void *_path;
933 934
    //Pointer to the distance of the target node.
934 935
    int *_di;
935 936

	
936 937
    public:
937 938
    /// Constructor.
938 939

	
939 940
    /// This constructor does not require parameters, therefore it initiates
940 941
    /// all of the attributes to \c 0.
941 942
    BfsWizardBase() : _g(0), _reached(0), _processed(0), _pred(0),
942 943
                      _dist(0), _path(0), _di(0) {}
943 944

	
944 945
    /// Constructor.
945 946

	
946 947
    /// This constructor requires one parameter,
947 948
    /// others are initiated to \c 0.
948 949
    /// \param g The digraph the algorithm runs on.
949 950
    BfsWizardBase(const GR &g) :
950 951
      _g(reinterpret_cast<void*>(const_cast<GR*>(&g))),
951 952
      _reached(0), _processed(0), _pred(0), _dist(0),  _path(0), _di(0) {}
952 953

	
953 954
  };
954 955

	
955 956
  /// Auxiliary class for the function-type interface of BFS algorithm.
956 957

	
957 958
  /// This auxiliary class is created to implement the
958 959
  /// \ref bfs() "function-type interface" of \ref Bfs algorithm.
959
  /// It does not have own \ref run() method, it uses the functions
960
  /// and features of the plain \ref Bfs.
960
  /// It does not have own \ref run(Node) "run()" method, it uses the
961
  /// functions and features of the plain \ref Bfs.
961 962
  ///
962 963
  /// This class should only be used through the \ref bfs() function,
963 964
  /// which makes it easier to use the algorithm.
964 965
  template<class TR>
965 966
  class BfsWizard : public TR
966 967
  {
967 968
    typedef TR Base;
968 969

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

	
972 973
    typedef typename Digraph::Node Node;
973 974
    typedef typename Digraph::NodeIt NodeIt;
974 975
    typedef typename Digraph::Arc Arc;
975 976
    typedef typename Digraph::OutArcIt OutArcIt;
976 977

	
977 978
    ///\brief The type of the map that stores the predecessor
978 979
    ///arcs of the shortest paths.
979 980
    typedef typename TR::PredMap PredMap;
980 981
    ///\brief The type of the map that stores the distances of the nodes.
981 982
    typedef typename TR::DistMap DistMap;
982 983
    ///\brief The type of the map that indicates which nodes are reached.
983 984
    typedef typename TR::ReachedMap ReachedMap;
984 985
    ///\brief The type of the map that indicates which nodes are processed.
985 986
    typedef typename TR::ProcessedMap ProcessedMap;
986 987
    ///The type of the shortest paths
987 988
    typedef typename TR::Path Path;
988 989

	
989 990
  public:
990 991

	
991 992
    /// Constructor.
992 993
    BfsWizard() : TR() {}
993 994

	
994 995
    /// Constructor that requires parameters.
995 996

	
996 997
    /// Constructor that requires parameters.
997 998
    /// These parameters will be the default values for the traits class.
998 999
    /// \param g The digraph the algorithm runs on.
999 1000
    BfsWizard(const Digraph &g) :
1000 1001
      TR(g) {}
1001 1002

	
1002 1003
    ///Copy constructor
1003 1004
    BfsWizard(const TR &b) : TR(b) {}
1004 1005

	
1005 1006
    ~BfsWizard() {}
1006 1007

	
1007 1008
    ///Runs BFS algorithm from the given source node.
1008 1009

	
1009 1010
    ///This method runs BFS algorithm from node \c s
1010 1011
    ///in order to compute the shortest path to each node.
1011 1012
    void run(Node s)
1012 1013
    {
1013 1014
      Bfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g));
1014 1015
      if (Base::_pred)
1015 1016
        alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
1016 1017
      if (Base::_dist)
1017 1018
        alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
1018 1019
      if (Base::_reached)
1019 1020
        alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached));
1020 1021
      if (Base::_processed)
1021 1022
        alg.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed));
1022 1023
      if (s!=INVALID)
1023 1024
        alg.run(s);
1024 1025
      else
1025 1026
        alg.run();
1026 1027
    }
1027 1028

	
1028 1029
    ///Finds the shortest path between \c s and \c t.
1029 1030

	
1030 1031
    ///This method runs BFS algorithm from node \c s
1031 1032
    ///in order to compute the shortest path to node \c t
1032 1033
    ///(it stops searching when \c t is processed).
1033 1034
    ///
1034 1035
    ///\return \c true if \c t is reachable form \c s.
1035 1036
    bool run(Node s, Node t)
1036 1037
    {
1037 1038
      Bfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g));
1038 1039
      if (Base::_pred)
1039 1040
        alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
1040 1041
      if (Base::_dist)
1041 1042
        alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
1042 1043
      if (Base::_reached)
1043 1044
        alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached));
1044 1045
      if (Base::_processed)
1045 1046
        alg.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed));
1046 1047
      alg.run(s,t);
1047 1048
      if (Base::_path)
1048 1049
        *reinterpret_cast<Path*>(Base::_path) = alg.path(t);
1049 1050
      if (Base::_di)
1050 1051
        *Base::_di = alg.dist(t);
1051 1052
      return alg.reached(t);
1052 1053
    }
1053 1054

	
1054 1055
    ///Runs BFS algorithm to visit all nodes in the digraph.
1055 1056

	
1056 1057
    ///This method runs BFS algorithm in order to compute
1057 1058
    ///the shortest path to each node.
1058 1059
    void run()
1059 1060
    {
1060 1061
      run(INVALID);
1061 1062
    }
1062 1063

	
1063 1064
    template<class T>
1064 1065
    struct SetPredMapBase : public Base {
1065 1066
      typedef T PredMap;
1066 1067
      static PredMap *createPredMap(const Digraph &) { return 0; };
1067 1068
      SetPredMapBase(const TR &b) : TR(b) {}
1068 1069
    };
1069 1070
    ///\brief \ref named-func-param "Named parameter"
1070 1071
    ///for setting PredMap object.
1071 1072
    ///
1072 1073
    ///\ref named-func-param "Named parameter"
1073 1074
    ///for setting PredMap object.
1074 1075
    template<class T>
1075 1076
    BfsWizard<SetPredMapBase<T> > predMap(const T &t)
1076 1077
    {
1077 1078
      Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t));
1078 1079
      return BfsWizard<SetPredMapBase<T> >(*this);
1079 1080
    }
1080 1081

	
1081 1082
    template<class T>
1082 1083
    struct SetReachedMapBase : public Base {
1083 1084
      typedef T ReachedMap;
1084 1085
      static ReachedMap *createReachedMap(const Digraph &) { return 0; };
1085 1086
      SetReachedMapBase(const TR &b) : TR(b) {}
1086 1087
    };
1087 1088
    ///\brief \ref named-func-param "Named parameter"
1088 1089
    ///for setting ReachedMap object.
1089 1090
    ///
1090 1091
    /// \ref named-func-param "Named parameter"
1091 1092
    ///for setting ReachedMap object.
1092 1093
    template<class T>
1093 1094
    BfsWizard<SetReachedMapBase<T> > reachedMap(const T &t)
1094 1095
    {
1095 1096
      Base::_reached=reinterpret_cast<void*>(const_cast<T*>(&t));
1096 1097
      return BfsWizard<SetReachedMapBase<T> >(*this);
1097 1098
    }
1098 1099

	
1099 1100
    template<class T>
1100 1101
    struct SetDistMapBase : public Base {
1101 1102
      typedef T DistMap;
1102 1103
      static DistMap *createDistMap(const Digraph &) { return 0; };
1103 1104
      SetDistMapBase(const TR &b) : TR(b) {}
1104 1105
    };
1105 1106
    ///\brief \ref named-func-param "Named parameter"
1106 1107
    ///for setting DistMap object.
1107 1108
    ///
1108 1109
    /// \ref named-func-param "Named parameter"
1109 1110
    ///for setting DistMap object.
1110 1111
    template<class T>
1111 1112
    BfsWizard<SetDistMapBase<T> > distMap(const T &t)
1112 1113
    {
1113 1114
      Base::_dist=reinterpret_cast<void*>(const_cast<T*>(&t));
1114 1115
      return BfsWizard<SetDistMapBase<T> >(*this);
1115 1116
    }
1116 1117

	
1117 1118
    template<class T>
1118 1119
    struct SetProcessedMapBase : public Base {
1119 1120
      typedef T ProcessedMap;
1120 1121
      static ProcessedMap *createProcessedMap(const Digraph &) { return 0; };
1121 1122
      SetProcessedMapBase(const TR &b) : TR(b) {}
1122 1123
    };
1123 1124
    ///\brief \ref named-func-param "Named parameter"
1124 1125
    ///for setting ProcessedMap object.
1125 1126
    ///
1126 1127
    /// \ref named-func-param "Named parameter"
1127 1128
    ///for setting ProcessedMap object.
1128 1129
    template<class T>
1129 1130
    BfsWizard<SetProcessedMapBase<T> > processedMap(const T &t)
1130 1131
    {
1131 1132
      Base::_processed=reinterpret_cast<void*>(const_cast<T*>(&t));
1132 1133
      return BfsWizard<SetProcessedMapBase<T> >(*this);
1133 1134
    }
1134 1135

	
1135 1136
    template<class T>
1136 1137
    struct SetPathBase : public Base {
1137 1138
      typedef T Path;
1138 1139
      SetPathBase(const TR &b) : TR(b) {}
1139 1140
    };
1140 1141
    ///\brief \ref named-func-param "Named parameter"
1141 1142
    ///for getting the shortest path to the target node.
1142 1143
    ///
1143 1144
    ///\ref named-func-param "Named parameter"
1144 1145
    ///for getting the shortest path to the target node.
1145 1146
    template<class T>
1146 1147
    BfsWizard<SetPathBase<T> > path(const T &t)
1147 1148
    {
1148 1149
      Base::_path=reinterpret_cast<void*>(const_cast<T*>(&t));
1149 1150
      return BfsWizard<SetPathBase<T> >(*this);
1150 1151
    }
1151 1152

	
1152 1153
    ///\brief \ref named-func-param "Named parameter"
1153 1154
    ///for getting the distance of the target node.
1154 1155
    ///
1155 1156
    ///\ref named-func-param "Named parameter"
1156 1157
    ///for getting the distance of the target node.
1157 1158
    BfsWizard dist(const int &d)
1158 1159
    {
1159 1160
      Base::_di=const_cast<int*>(&d);
1160 1161
      return *this;
1161 1162
    }
1162 1163

	
1163 1164
  };
1164 1165

	
1165 1166
  ///Function-type interface for BFS algorithm.
1166 1167

	
1167 1168
  /// \ingroup search
1168 1169
  ///Function-type interface for BFS algorithm.
1169 1170
  ///
1170 1171
  ///This function also has several \ref named-func-param "named parameters",
1171 1172
  ///they are declared as the members of class \ref BfsWizard.
1172 1173
  ///The following examples show how to use these parameters.
1173 1174
  ///\code
1174 1175
  ///  // Compute shortest path from node s to each node
1175 1176
  ///  bfs(g).predMap(preds).distMap(dists).run(s);
1176 1177
  ///
1177 1178
  ///  // Compute shortest path from s to t
1178 1179
  ///  bool reached = bfs(g).path(p).dist(d).run(s,t);
1179 1180
  ///\endcode
1180
  ///\warning Don't forget to put the \ref BfsWizard::run() "run()"
1181
  ///\warning Don't forget to put the \ref BfsWizard::run(Node) "run()"
1181 1182
  ///to the end of the parameter list.
1182 1183
  ///\sa BfsWizard
1183 1184
  ///\sa Bfs
1184 1185
  template<class GR>
1185 1186
  BfsWizard<BfsWizardBase<GR> >
1186 1187
  bfs(const GR &digraph)
1187 1188
  {
1188 1189
    return BfsWizard<BfsWizardBase<GR> >(digraph);
1189 1190
  }
1190 1191

	
1191 1192
#ifdef DOXYGEN
1192 1193
  /// \brief Visitor class for BFS.
1193 1194
  ///
1194 1195
  /// This class defines the interface of the BfsVisit events, and
1195 1196
  /// it could be the base of a real visitor class.
1196 1197
  template <typename _Digraph>
1197 1198
  struct BfsVisitor {
1198 1199
    typedef _Digraph Digraph;
1199 1200
    typedef typename Digraph::Arc Arc;
1200 1201
    typedef typename Digraph::Node Node;
1201 1202
    /// \brief Called for the source node(s) of the BFS.
1202 1203
    ///
1203 1204
    /// This function is called for the source node(s) of the BFS.
1204 1205
    void start(const Node& node) {}
1205 1206
    /// \brief Called when a node is reached first time.
1206 1207
    ///
1207 1208
    /// This function is called when a node is reached first time.
1208 1209
    void reach(const Node& node) {}
1209 1210
    /// \brief Called when a node is processed.
1210 1211
    ///
1211 1212
    /// This function is called when a node is processed.
1212 1213
    void process(const Node& node) {}
1213 1214
    /// \brief Called when an arc reaches a new node.
1214 1215
    ///
1215 1216
    /// This function is called when the BFS finds an arc whose target node
1216 1217
    /// is not reached yet.
1217 1218
    void discover(const Arc& arc) {}
1218 1219
    /// \brief Called when an arc is examined but its target node is
1219 1220
    /// already discovered.
1220 1221
    ///
1221 1222
    /// This function is called when an arc is examined but its target node is
1222 1223
    /// already discovered.
1223 1224
    void examine(const Arc& arc) {}
1224 1225
  };
1225 1226
#else
1226 1227
  template <typename _Digraph>
1227 1228
  struct BfsVisitor {
1228 1229
    typedef _Digraph Digraph;
1229 1230
    typedef typename Digraph::Arc Arc;
1230 1231
    typedef typename Digraph::Node Node;
1231 1232
    void start(const Node&) {}
1232 1233
    void reach(const Node&) {}
1233 1234
    void process(const Node&) {}
1234 1235
    void discover(const Arc&) {}
1235 1236
    void examine(const Arc&) {}
1236 1237

	
1237 1238
    template <typename _Visitor>
1238 1239
    struct Constraints {
1239 1240
      void constraints() {
1240 1241
        Arc arc;
1241 1242
        Node node;
1242 1243
        visitor.start(node);
1243 1244
        visitor.reach(node);
1244 1245
        visitor.process(node);
1245 1246
        visitor.discover(arc);
1246 1247
        visitor.examine(arc);
1247 1248
      }
1248 1249
      _Visitor& visitor;
1249 1250
    };
1250 1251
  };
1251 1252
#endif
1252 1253

	
1253 1254
  /// \brief Default traits class of BfsVisit class.
1254 1255
  ///
1255 1256
  /// Default traits class of BfsVisit class.
1256 1257
  /// \tparam _Digraph The type of the digraph the algorithm runs on.
1257 1258
  template<class _Digraph>
1258 1259
  struct BfsVisitDefaultTraits {
1259 1260

	
1260 1261
    /// \brief The type of the digraph the algorithm runs on.
1261 1262
    typedef _Digraph Digraph;
1262 1263

	
1263 1264
    /// \brief The type of the map that indicates which nodes are reached.
1264 1265
    ///
1265 1266
    /// The type of the map that indicates which nodes are reached.
1266 1267
    /// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
1267 1268
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
1268 1269

	
1269 1270
    /// \brief Instantiates a ReachedMap.
1270 1271
    ///
1271 1272
    /// This function instantiates a ReachedMap.
1272 1273
    /// \param digraph is the digraph, to which
1273 1274
    /// we would like to define the ReachedMap.
1274 1275
    static ReachedMap *createReachedMap(const Digraph &digraph) {
1275 1276
      return new ReachedMap(digraph);
1276 1277
    }
1277 1278

	
1278 1279
  };
1279 1280

	
1280 1281
  /// \ingroup search
1281 1282
  ///
1282 1283
  /// \brief %BFS algorithm class with visitor interface.
1283 1284
  ///
1284 1285
  /// This class provides an efficient implementation of the %BFS algorithm
1285 1286
  /// with visitor interface.
1286 1287
  ///
1287 1288
  /// The %BfsVisit class provides an alternative interface to the Bfs
1288 1289
  /// class. It works with callback mechanism, the BfsVisit object calls
1289 1290
  /// the member functions of the \c Visitor class on every BFS event.
1290 1291
  ///
1291 1292
  /// This interface of the BFS algorithm should be used in special cases
1292 1293
  /// when extra actions have to be performed in connection with certain
1293 1294
  /// events of the BFS algorithm. Otherwise consider to use Bfs or bfs()
1294 1295
  /// instead.
1295 1296
  ///
1296 1297
  /// \tparam _Digraph The type of the digraph the algorithm runs on.
1297 1298
  /// The default value is
1298 1299
  /// \ref ListDigraph. The value of _Digraph is not used directly by
1299 1300
  /// \ref BfsVisit, it is only passed to \ref BfsVisitDefaultTraits.
1300 1301
  /// \tparam _Visitor The Visitor type that is used by the algorithm.
1301 1302
  /// \ref BfsVisitor "BfsVisitor<_Digraph>" is an empty visitor, which
1302 1303
  /// does not observe the BFS events. If you want to observe the BFS
1303 1304
  /// events, you should implement your own visitor class.
1304 1305
  /// \tparam _Traits Traits class to set various data types used by the
1305 1306
  /// algorithm. The default traits class is
1306 1307
  /// \ref BfsVisitDefaultTraits "BfsVisitDefaultTraits<_Digraph>".
1307 1308
  /// See \ref BfsVisitDefaultTraits for the documentation of
1308 1309
  /// a BFS visit traits class.
1309 1310
#ifdef DOXYGEN
1310 1311
  template <typename _Digraph, typename _Visitor, typename _Traits>
1311 1312
#else
1312 1313
  template <typename _Digraph = ListDigraph,
1313 1314
            typename _Visitor = BfsVisitor<_Digraph>,
1314 1315
            typename _Traits = BfsVisitDefaultTraits<_Digraph> >
1315 1316
#endif
1316 1317
  class BfsVisit {
1317 1318
  public:
1318 1319

	
1319 1320
    ///The traits class.
1320 1321
    typedef _Traits Traits;
1321 1322

	
1322 1323
    ///The type of the digraph the algorithm runs on.
1323 1324
    typedef typename Traits::Digraph Digraph;
1324 1325

	
1325 1326
    ///The visitor type used by the algorithm.
1326 1327
    typedef _Visitor Visitor;
1327 1328

	
1328 1329
    ///The type of the map that indicates which nodes are reached.
1329 1330
    typedef typename Traits::ReachedMap ReachedMap;
1330 1331

	
1331 1332
  private:
1332 1333

	
1333 1334
    typedef typename Digraph::Node Node;
1334 1335
    typedef typename Digraph::NodeIt NodeIt;
1335 1336
    typedef typename Digraph::Arc Arc;
1336 1337
    typedef typename Digraph::OutArcIt OutArcIt;
1337 1338

	
1338 1339
    //Pointer to the underlying digraph.
1339 1340
    const Digraph *_digraph;
1340 1341
    //Pointer to the visitor object.
1341 1342
    Visitor *_visitor;
1342 1343
    //Pointer to the map of reached status of the nodes.
1343 1344
    ReachedMap *_reached;
1344 1345
    //Indicates if _reached is locally allocated (true) or not.
1345 1346
    bool local_reached;
1346 1347

	
1347 1348
    std::vector<typename Digraph::Node> _list;
1348 1349
    int _list_front, _list_back;
1349 1350

	
1350 1351
    //Creates the maps if necessary.
1351 1352
    void create_maps() {
1352 1353
      if(!_reached) {
1353 1354
        local_reached = true;
1354 1355
        _reached = Traits::createReachedMap(*_digraph);
1355 1356
      }
1356 1357
    }
1357 1358

	
1358 1359
  protected:
1359 1360

	
1360 1361
    BfsVisit() {}
1361 1362

	
1362 1363
  public:
1363 1364

	
1364 1365
    typedef BfsVisit Create;
1365 1366

	
1366
    /// \name Named template parameters
1367
    /// \name Named Template Parameters
1367 1368

	
1368 1369
    ///@{
1369 1370
    template <class T>
1370 1371
    struct SetReachedMapTraits : public Traits {
1371 1372
      typedef T ReachedMap;
1372 1373
      static ReachedMap *createReachedMap(const Digraph &digraph) {
1373 1374
        LEMON_ASSERT(false, "ReachedMap is not initialized");
1374 1375
        return 0; // ignore warnings
1375 1376
      }
1376 1377
    };
1377 1378
    /// \brief \ref named-templ-param "Named parameter" for setting
1378 1379
    /// ReachedMap type.
1379 1380
    ///
1380 1381
    /// \ref named-templ-param "Named parameter" for setting ReachedMap type.
1381 1382
    template <class T>
1382 1383
    struct SetReachedMap : public BfsVisit< Digraph, Visitor,
1383 1384
                                            SetReachedMapTraits<T> > {
1384 1385
      typedef BfsVisit< Digraph, Visitor, SetReachedMapTraits<T> > Create;
1385 1386
    };
1386 1387
    ///@}
1387 1388

	
1388 1389
  public:
1389 1390

	
1390 1391
    /// \brief Constructor.
1391 1392
    ///
1392 1393
    /// Constructor.
1393 1394
    ///
1394 1395
    /// \param digraph The digraph the algorithm runs on.
1395 1396
    /// \param visitor The visitor object of the algorithm.
1396 1397
    BfsVisit(const Digraph& digraph, Visitor& visitor)
1397 1398
      : _digraph(&digraph), _visitor(&visitor),
1398 1399
        _reached(0), local_reached(false) {}
1399 1400

	
1400 1401
    /// \brief Destructor.
1401 1402
    ~BfsVisit() {
1402 1403
      if(local_reached) delete _reached;
1403 1404
    }
1404 1405

	
1405 1406
    /// \brief Sets the map that indicates which nodes are reached.
1406 1407
    ///
1407 1408
    /// Sets the map that indicates which nodes are reached.
1408
    /// If you don't use this function before calling \ref run(),
1409
    /// it will allocate one. The destructor deallocates this
1410
    /// automatically allocated map, of course.
1409
    /// If you don't use this function before calling \ref run(Node) "run()"
1410
    /// or \ref init(), an instance will be allocated automatically.
1411
    /// The destructor deallocates this automatically allocated map,
1412
    /// of course.
1411 1413
    /// \return <tt> (*this) </tt>
1412 1414
    BfsVisit &reachedMap(ReachedMap &m) {
1413 1415
      if(local_reached) {
1414 1416
        delete _reached;
1415 1417
        local_reached = false;
1416 1418
      }
1417 1419
      _reached = &m;
1418 1420
      return *this;
1419 1421
    }
1420 1422

	
1421 1423
  public:
1422 1424

	
1423
    /// \name Execution control
1424
    /// The simplest way to execute the algorithm is to use
1425
    /// one of the member functions called \ref lemon::BfsVisit::run()
1426
    /// "run()".
1427
    /// \n
1428
    /// If you need more control on the execution, first you must call
1429
    /// \ref lemon::BfsVisit::init() "init()", then you can add several
1430
    /// source nodes with \ref lemon::BfsVisit::addSource() "addSource()".
1431
    /// Finally \ref lemon::BfsVisit::start() "start()" will perform the
1432
    /// actual path computation.
1425
    /// \name Execution Control
1426
    /// The simplest way to execute the BFS algorithm is to use one of the
1427
    /// 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
1430
    /// \ref addSource(). Finally the actual path computation can be
1431
    /// performed with one of the \ref start() functions.
1433 1432

	
1434 1433
    /// @{
1435 1434

	
1436 1435
    /// \brief Initializes the internal data structures.
1437 1436
    ///
1438 1437
    /// Initializes the internal data structures.
1439 1438
    void init() {
1440 1439
      create_maps();
1441 1440
      _list.resize(countNodes(*_digraph));
1442 1441
      _list_front = _list_back = -1;
1443 1442
      for (NodeIt u(*_digraph) ; u != INVALID ; ++u) {
1444 1443
        _reached->set(u, false);
1445 1444
      }
1446 1445
    }
1447 1446

	
1448 1447
    /// \brief Adds a new source node.
1449 1448
    ///
1450 1449
    /// Adds a new source node to the set of nodes to be processed.
1451 1450
    void addSource(Node s) {
1452 1451
      if(!(*_reached)[s]) {
1453 1452
          _reached->set(s,true);
1454 1453
          _visitor->start(s);
1455 1454
          _visitor->reach(s);
1456 1455
          _list[++_list_back] = s;
1457 1456
        }
1458 1457
    }
1459 1458

	
1460 1459
    /// \brief Processes the next node.
1461 1460
    ///
1462 1461
    /// Processes the next node.
1463 1462
    ///
1464 1463
    /// \return The processed node.
1465 1464
    ///
1466 1465
    /// \pre The queue must not be empty.
1467 1466
    Node processNextNode() {
1468 1467
      Node n = _list[++_list_front];
1469 1468
      _visitor->process(n);
1470 1469
      Arc e;
1471 1470
      for (_digraph->firstOut(e, n); e != INVALID; _digraph->nextOut(e)) {
1472 1471
        Node m = _digraph->target(e);
1473 1472
        if (!(*_reached)[m]) {
1474 1473
          _visitor->discover(e);
1475 1474
          _visitor->reach(m);
1476 1475
          _reached->set(m, true);
1477 1476
          _list[++_list_back] = m;
1478 1477
        } else {
1479 1478
          _visitor->examine(e);
1480 1479
        }
1481 1480
      }
1482 1481
      return n;
1483 1482
    }
1484 1483

	
1485 1484
    /// \brief Processes the next node.
1486 1485
    ///
1487 1486
    /// Processes the next node and checks if the given target node
1488 1487
    /// is reached. If the target node is reachable from the processed
1489 1488
    /// node, then the \c reach parameter will be set to \c true.
1490 1489
    ///
1491 1490
    /// \param target The target node.
1492 1491
    /// \retval reach Indicates if the target node is reached.
1493 1492
    /// It should be initially \c false.
1494 1493
    ///
1495 1494
    /// \return The processed node.
1496 1495
    ///
1497 1496
    /// \pre The queue must not be empty.
1498 1497
    Node processNextNode(Node target, bool& reach) {
1499 1498
      Node n = _list[++_list_front];
1500 1499
      _visitor->process(n);
1501 1500
      Arc e;
1502 1501
      for (_digraph->firstOut(e, n); e != INVALID; _digraph->nextOut(e)) {
1503 1502
        Node m = _digraph->target(e);
1504 1503
        if (!(*_reached)[m]) {
1505 1504
          _visitor->discover(e);
1506 1505
          _visitor->reach(m);
1507 1506
          _reached->set(m, true);
1508 1507
          _list[++_list_back] = m;
1509 1508
          reach = reach || (target == m);
1510 1509
        } else {
1511 1510
          _visitor->examine(e);
1512 1511
        }
1513 1512
      }
1514 1513
      return n;
1515 1514
    }
1516 1515

	
1517 1516
    /// \brief Processes the next node.
1518 1517
    ///
1519 1518
    /// Processes the next node and checks if at least one of reached
1520 1519
    /// nodes has \c true value in the \c nm node map. If one node
1521 1520
    /// with \c true value is reachable from the processed node, then the
1522 1521
    /// \c rnode parameter will be set to the first of such nodes.
1523 1522
    ///
1524 1523
    /// \param nm A \c bool (or convertible) node map that indicates the
1525 1524
    /// possible targets.
1526 1525
    /// \retval rnode The reached target node.
1527 1526
    /// It should be initially \c INVALID.
1528 1527
    ///
1529 1528
    /// \return The processed node.
1530 1529
    ///
1531 1530
    /// \pre The queue must not be empty.
1532 1531
    template <typename NM>
1533 1532
    Node processNextNode(const NM& nm, Node& rnode) {
1534 1533
      Node n = _list[++_list_front];
1535 1534
      _visitor->process(n);
1536 1535
      Arc e;
1537 1536
      for (_digraph->firstOut(e, n); e != INVALID; _digraph->nextOut(e)) {
1538 1537
        Node m = _digraph->target(e);
1539 1538
        if (!(*_reached)[m]) {
1540 1539
          _visitor->discover(e);
1541 1540
          _visitor->reach(m);
1542 1541
          _reached->set(m, true);
1543 1542
          _list[++_list_back] = m;
1544 1543
          if (nm[m] && rnode == INVALID) rnode = m;
1545 1544
        } else {
1546 1545
          _visitor->examine(e);
1547 1546
        }
1548 1547
      }
1549 1548
      return n;
1550 1549
    }
1551 1550

	
1552 1551
    /// \brief The next node to be processed.
1553 1552
    ///
1554 1553
    /// Returns the next node to be processed or \c INVALID if the queue
1555 1554
    /// is empty.
1556 1555
    Node nextNode() const {
1557 1556
      return _list_front != _list_back ? _list[_list_front + 1] : INVALID;
1558 1557
    }
1559 1558

	
1560 1559
    /// \brief Returns \c false if there are nodes
1561 1560
    /// to be processed.
1562 1561
    ///
1563 1562
    /// Returns \c false if there are nodes
1564 1563
    /// to be processed in the queue.
1565 1564
    bool emptyQueue() const { return _list_front == _list_back; }
1566 1565

	
1567 1566
    /// \brief Returns the number of the nodes to be processed.
1568 1567
    ///
1569 1568
    /// Returns the number of the nodes to be processed in the queue.
1570 1569
    int queueSize() const { return _list_back - _list_front; }
1571 1570

	
1572 1571
    /// \brief Executes the algorithm.
1573 1572
    ///
1574 1573
    /// Executes the algorithm.
1575 1574
    ///
1576 1575
    /// This method runs the %BFS algorithm from the root node(s)
1577 1576
    /// in order to compute the shortest path to each node.
1578 1577
    ///
1579 1578
    /// The algorithm computes
1580 1579
    /// - the shortest path tree (forest),
1581 1580
    /// - the distance of each node from the root(s).
1582 1581
    ///
1583 1582
    /// \pre init() must be called and at least one root node should be added
1584 1583
    /// with addSource() before using this function.
1585 1584
    ///
1586 1585
    /// \note <tt>b.start()</tt> is just a shortcut of the following code.
1587 1586
    /// \code
1588 1587
    ///   while ( !b.emptyQueue() ) {
1589 1588
    ///     b.processNextNode();
1590 1589
    ///   }
1591 1590
    /// \endcode
1592 1591
    void start() {
1593 1592
      while ( !emptyQueue() ) processNextNode();
1594 1593
    }
1595 1594

	
1596 1595
    /// \brief Executes the algorithm until the given target node is reached.
1597 1596
    ///
1598 1597
    /// Executes the algorithm until the given target node is reached.
1599 1598
    ///
1600 1599
    /// This method runs the %BFS algorithm from the root node(s)
1601 1600
    /// in order to compute the shortest path to \c t.
1602 1601
    ///
1603 1602
    /// The algorithm computes
1604 1603
    /// - the shortest path to \c t,
1605 1604
    /// - the distance of \c t from the root(s).
1606 1605
    ///
1607 1606
    /// \pre init() must be called and at least one root node should be
1608 1607
    /// added with addSource() before using this function.
1609 1608
    ///
1610 1609
    /// \note <tt>b.start(t)</tt> is just a shortcut of the following code.
1611 1610
    /// \code
1612 1611
    ///   bool reach = false;
1613 1612
    ///   while ( !b.emptyQueue() && !reach ) {
1614 1613
    ///     b.processNextNode(t, reach);
1615 1614
    ///   }
1616 1615
    /// \endcode
1617 1616
    void start(Node t) {
1618 1617
      bool reach = false;
1619 1618
      while ( !emptyQueue() && !reach ) processNextNode(t, reach);
1620 1619
    }
1621 1620

	
1622 1621
    /// \brief Executes the algorithm until a condition is met.
1623 1622
    ///
1624 1623
    /// Executes the algorithm until a condition is met.
1625 1624
    ///
1626 1625
    /// This method runs the %BFS algorithm from the root node(s) in
1627 1626
    /// order to compute the shortest path to a node \c v with
1628 1627
    /// <tt>nm[v]</tt> true, if such a node can be found.
1629 1628
    ///
1630 1629
    /// \param nm must be a bool (or convertible) node map. The
1631 1630
    /// algorithm will stop when it reaches a node \c v with
1632 1631
    /// <tt>nm[v]</tt> true.
1633 1632
    ///
1634 1633
    /// \return The reached node \c v with <tt>nm[v]</tt> true or
1635 1634
    /// \c INVALID if no such node was found.
1636 1635
    ///
1637 1636
    /// \pre init() must be called and at least one root node should be
1638 1637
    /// added with addSource() before using this function.
1639 1638
    ///
1640 1639
    /// \note <tt>b.start(nm)</tt> is just a shortcut of the following code.
1641 1640
    /// \code
1642 1641
    ///   Node rnode = INVALID;
1643 1642
    ///   while ( !b.emptyQueue() && rnode == INVALID ) {
1644 1643
    ///     b.processNextNode(nm, rnode);
1645 1644
    ///   }
1646 1645
    ///   return rnode;
1647 1646
    /// \endcode
1648 1647
    template <typename NM>
1649 1648
    Node start(const NM &nm) {
1650 1649
      Node rnode = INVALID;
1651 1650
      while ( !emptyQueue() && rnode == INVALID ) {
1652 1651
        processNextNode(nm, rnode);
1653 1652
      }
1654 1653
      return rnode;
1655 1654
    }
1656 1655

	
1657 1656
    /// \brief Runs the algorithm from the given source node.
1658 1657
    ///
1659 1658
    /// This method runs the %BFS algorithm from node \c s
1660 1659
    /// in order to compute the shortest path to each node.
1661 1660
    ///
1662 1661
    /// The algorithm computes
1663 1662
    /// - the shortest path tree,
1664 1663
    /// - the distance of each node from the root.
1665 1664
    ///
1666 1665
    /// \note <tt>b.run(s)</tt> is just a shortcut of the following code.
1667 1666
    ///\code
1668 1667
    ///   b.init();
1669 1668
    ///   b.addSource(s);
1670 1669
    ///   b.start();
1671 1670
    ///\endcode
1672 1671
    void run(Node s) {
1673 1672
      init();
1674 1673
      addSource(s);
1675 1674
      start();
1676 1675
    }
1677 1676

	
1678 1677
    /// \brief Finds the shortest path between \c s and \c t.
1679 1678
    ///
1680 1679
    /// This method runs the %BFS algorithm from node \c s
1681 1680
    /// in order to compute the shortest path to node \c t
1682 1681
    /// (it stops searching when \c t is processed).
1683 1682
    ///
1684 1683
    /// \return \c true if \c t is reachable form \c s.
1685 1684
    ///
1686 1685
    /// \note Apart from the return value, <tt>b.run(s,t)</tt> is just a
1687 1686
    /// shortcut of the following code.
1688 1687
    ///\code
1689 1688
    ///   b.init();
1690 1689
    ///   b.addSource(s);
1691 1690
    ///   b.start(t);
1692 1691
    ///\endcode
1693 1692
    bool run(Node s,Node t) {
1694 1693
      init();
1695 1694
      addSource(s);
1696 1695
      start(t);
1697 1696
      return reached(t);
1698 1697
    }
1699 1698

	
1700 1699
    /// \brief Runs the algorithm to visit all nodes in the digraph.
1701 1700
    ///
1702 1701
    /// This method runs the %BFS algorithm in order to
1703 1702
    /// compute the shortest path to each node.
1704 1703
    ///
1705 1704
    /// The algorithm computes
1706 1705
    /// - the shortest path tree (forest),
1707 1706
    /// - the distance of each node from the root(s).
1708 1707
    ///
1709 1708
    /// \note <tt>b.run(s)</tt> is just a shortcut of the following code.
1710 1709
    ///\code
1711 1710
    ///  b.init();
1712 1711
    ///  for (NodeIt n(gr); n != INVALID; ++n) {
1713 1712
    ///    if (!b.reached(n)) {
1714 1713
    ///      b.addSource(n);
1715 1714
    ///      b.start();
1716 1715
    ///    }
1717 1716
    ///  }
1718 1717
    ///\endcode
1719 1718
    void run() {
1720 1719
      init();
1721 1720
      for (NodeIt it(*_digraph); it != INVALID; ++it) {
1722 1721
        if (!reached(it)) {
1723 1722
          addSource(it);
1724 1723
          start();
1725 1724
        }
1726 1725
      }
1727 1726
    }
1728 1727

	
1729 1728
    ///@}
1730 1729

	
1731 1730
    /// \name Query Functions
1732
    /// The result of the %BFS algorithm can be obtained using these
1731
    /// The results of the BFS algorithm can be obtained using these
1733 1732
    /// functions.\n
1734
    /// Either \ref lemon::BfsVisit::run() "run()" or
1735
    /// \ref lemon::BfsVisit::start() "start()" must be called before
1736
    /// using them.
1733
    /// Either \ref run(Node) "run()" or \ref start() should be called
1734
    /// before using them.
1735

	
1737 1736
    ///@{
1738 1737

	
1739
    /// \brief Checks if a node is reachable from the root(s).
1738
    /// \brief Checks if a node is reached from the root(s).
1740 1739
    ///
1741
    /// Returns \c true if \c v is reachable from the root(s).
1742
    /// \pre Either \ref run() or \ref start()
1740
    /// Returns \c true if \c v is reached from the root(s).
1741
    ///
1742
    /// \pre Either \ref run(Node) "run()" or \ref init()
1743 1743
    /// must be called before using this function.
1744 1744
    bool reached(Node v) { return (*_reached)[v]; }
1745 1745

	
1746 1746
    ///@}
1747 1747

	
1748 1748
  };
1749 1749

	
1750 1750
} //END OF NAMESPACE LEMON
1751 1751

	
1752 1752
#endif
Ignore white space 6 line context
1 1
/* -*- mode: C++; indent-tabs-mode: nil; -*-
2 2
 *
3 3
 * This file is a part of LEMON, a generic C++ optimization library.
4 4
 *
5 5
 * Copyright (C) 2003-2008
6 6
 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
7 7
 * (Egervary Research Group on Combinatorial Optimization, EGRES).
8 8
 *
9 9
 * Permission to use, modify and distribute this software is granted
10 10
 * provided that this copyright notice appears in all copies. For
11 11
 * precise terms see the accompanying LICENSE file.
12 12
 *
13 13
 * This software is provided "AS IS" with no warranty of any kind,
14 14
 * express or implied, and with no claim as to its suitability for any
15 15
 * purpose.
16 16
 *
17 17
 */
18 18

	
19 19
#ifndef LEMON_DFS_H
20 20
#define LEMON_DFS_H
21 21

	
22 22
///\ingroup search
23 23
///\file
24 24
///\brief DFS algorithm.
25 25

	
26 26
#include <lemon/list_graph.h>
27 27
#include <lemon/bits/path_dump.h>
28 28
#include <lemon/core.h>
29 29
#include <lemon/error.h>
30 30
#include <lemon/maps.h>
31 31
#include <lemon/path.h>
32 32

	
33 33
namespace lemon {
34 34

	
35 35
  ///Default traits class of Dfs class.
36 36

	
37 37
  ///Default traits class of Dfs class.
38 38
  ///\tparam GR Digraph type.
39 39
  template<class GR>
40 40
  struct DfsDefaultTraits
41 41
  {
42 42
    ///The type of the digraph the algorithm runs on.
43 43
    typedef GR Digraph;
44 44

	
45 45
    ///\brief The type of the map that stores the predecessor
46 46
    ///arcs of the %DFS paths.
47 47
    ///
48 48
    ///The type of the map that stores the predecessor
49 49
    ///arcs of the %DFS paths.
50 50
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
51 51
    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
52 52
    ///Instantiates a PredMap.
53 53

	
54 54
    ///This function instantiates a PredMap.
55 55
    ///\param g is the digraph, to which we would like to define the
56 56
    ///PredMap.
57 57
    static PredMap *createPredMap(const Digraph &g)
58 58
    {
59 59
      return new PredMap(g);
60 60
    }
61 61

	
62 62
    ///The type of the map that indicates which nodes are processed.
63 63

	
64 64
    ///The type of the map that indicates which nodes are processed.
65 65
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
66 66
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
67 67
    ///Instantiates a ProcessedMap.
68 68

	
69 69
    ///This function instantiates a ProcessedMap.
70 70
    ///\param g is the digraph, to which
71 71
    ///we would like to define the ProcessedMap
72 72
#ifdef DOXYGEN
73 73
    static ProcessedMap *createProcessedMap(const Digraph &g)
74 74
#else
75 75
    static ProcessedMap *createProcessedMap(const Digraph &)
76 76
#endif
77 77
    {
78 78
      return new ProcessedMap();
79 79
    }
80 80

	
81 81
    ///The type of the map that indicates which nodes are reached.
82 82

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

	
88 88
    ///This function instantiates a ReachedMap.
89 89
    ///\param g is the digraph, to which
90 90
    ///we would like to define the ReachedMap.
91 91
    static ReachedMap *createReachedMap(const Digraph &g)
92 92
    {
93 93
      return new ReachedMap(g);
94 94
    }
95 95

	
96 96
    ///The type of the map that stores the distances of the nodes.
97 97

	
98 98
    ///The type of the map that stores the distances of the nodes.
99 99
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
100 100
    typedef typename Digraph::template NodeMap<int> DistMap;
101 101
    ///Instantiates a DistMap.
102 102

	
103 103
    ///This function instantiates a DistMap.
104 104
    ///\param g is the digraph, to which we would like to define the
105 105
    ///DistMap.
106 106
    static DistMap *createDistMap(const Digraph &g)
107 107
    {
108 108
      return new DistMap(g);
109 109
    }
110 110
  };
111 111

	
112 112
  ///%DFS algorithm class.
113 113

	
114 114
  ///\ingroup search
115 115
  ///This class provides an efficient implementation of the %DFS algorithm.
116 116
  ///
117 117
  ///There is also a \ref dfs() "function-type interface" for the DFS
118 118
  ///algorithm, which is convenient in the simplier cases and it can be
119 119
  ///used easier.
120 120
  ///
121 121
  ///\tparam GR The type of the digraph the algorithm runs on.
122
  ///The default value is \ref ListDigraph. The value of GR is not used
123
  ///directly by \ref Dfs, it is only passed to \ref DfsDefaultTraits.
124
  ///\tparam TR Traits class to set various data types used by the algorithm.
125
  ///The default traits class is
126
  ///\ref DfsDefaultTraits "DfsDefaultTraits<GR>".
127
  ///See \ref DfsDefaultTraits for the documentation of
128
  ///a Dfs traits class.
122
  ///The default type is \ref ListDigraph.
129 123
#ifdef DOXYGEN
130 124
  template <typename GR,
131 125
            typename TR>
132 126
#else
133 127
  template <typename GR=ListDigraph,
134 128
            typename TR=DfsDefaultTraits<GR> >
135 129
#endif
136 130
  class Dfs {
137 131
  public:
138 132

	
139 133
    ///The type of the digraph the algorithm runs on.
140 134
    typedef typename TR::Digraph Digraph;
141 135

	
142 136
    ///\brief The type of the map that stores the predecessor arcs of the
143 137
    ///DFS paths.
144 138
    typedef typename TR::PredMap PredMap;
145 139
    ///The type of the map that stores the distances of the nodes.
146 140
    typedef typename TR::DistMap DistMap;
147 141
    ///The type of the map that indicates which nodes are reached.
148 142
    typedef typename TR::ReachedMap ReachedMap;
149 143
    ///The type of the map that indicates which nodes are processed.
150 144
    typedef typename TR::ProcessedMap ProcessedMap;
151 145
    ///The type of the paths.
152 146
    typedef PredMapPath<Digraph, PredMap> Path;
153 147

	
154
    ///The traits class.
148
    ///The \ref DfsDefaultTraits "traits class" of the algorithm.
155 149
    typedef TR Traits;
156 150

	
157 151
  private:
158 152

	
159 153
    typedef typename Digraph::Node Node;
160 154
    typedef typename Digraph::NodeIt NodeIt;
161 155
    typedef typename Digraph::Arc Arc;
162 156
    typedef typename Digraph::OutArcIt OutArcIt;
163 157

	
164 158
    //Pointer to the underlying digraph.
165 159
    const Digraph *G;
166 160
    //Pointer to the map of predecessor arcs.
167 161
    PredMap *_pred;
168 162
    //Indicates if _pred is locally allocated (true) or not.
169 163
    bool local_pred;
170 164
    //Pointer to the map of distances.
171 165
    DistMap *_dist;
172 166
    //Indicates if _dist is locally allocated (true) or not.
173 167
    bool local_dist;
174 168
    //Pointer to the map of reached status of the nodes.
175 169
    ReachedMap *_reached;
176 170
    //Indicates if _reached is locally allocated (true) or not.
177 171
    bool local_reached;
178 172
    //Pointer to the map of processed status of the nodes.
179 173
    ProcessedMap *_processed;
180 174
    //Indicates if _processed is locally allocated (true) or not.
181 175
    bool local_processed;
182 176

	
183 177
    std::vector<typename Digraph::OutArcIt> _stack;
184 178
    int _stack_head;
185 179

	
186 180
    //Creates the maps if necessary.
187 181
    void create_maps()
188 182
    {
189 183
      if(!_pred) {
190 184
        local_pred = true;
191 185
        _pred = Traits::createPredMap(*G);
192 186
      }
193 187
      if(!_dist) {
194 188
        local_dist = true;
195 189
        _dist = Traits::createDistMap(*G);
196 190
      }
197 191
      if(!_reached) {
198 192
        local_reached = true;
199 193
        _reached = Traits::createReachedMap(*G);
200 194
      }
201 195
      if(!_processed) {
202 196
        local_processed = true;
203 197
        _processed = Traits::createProcessedMap(*G);
204 198
      }
205 199
    }
206 200

	
207 201
  protected:
208 202

	
209 203
    Dfs() {}
210 204

	
211 205
  public:
212 206

	
213 207
    typedef Dfs Create;
214 208

	
215 209
    ///\name Named template parameters
216 210

	
217 211
    ///@{
218 212

	
219 213
    template <class T>
220 214
    struct SetPredMapTraits : public Traits {
221 215
      typedef T PredMap;
222 216
      static PredMap *createPredMap(const Digraph &)
223 217
      {
224 218
        LEMON_ASSERT(false, "PredMap is not initialized");
225 219
        return 0; // ignore warnings
226 220
      }
227 221
    };
228 222
    ///\brief \ref named-templ-param "Named parameter" for setting
229 223
    ///PredMap type.
230 224
    ///
231 225
    ///\ref named-templ-param "Named parameter" for setting
232 226
    ///PredMap type.
227
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
233 228
    template <class T>
234 229
    struct SetPredMap : public Dfs<Digraph, SetPredMapTraits<T> > {
235 230
      typedef Dfs<Digraph, SetPredMapTraits<T> > Create;
236 231
    };
237 232

	
238 233
    template <class T>
239 234
    struct SetDistMapTraits : public Traits {
240 235
      typedef T DistMap;
241 236
      static DistMap *createDistMap(const Digraph &)
242 237
      {
243 238
        LEMON_ASSERT(false, "DistMap is not initialized");
244 239
        return 0; // ignore warnings
245 240
      }
246 241
    };
247 242
    ///\brief \ref named-templ-param "Named parameter" for setting
248 243
    ///DistMap type.
249 244
    ///
250 245
    ///\ref named-templ-param "Named parameter" for setting
251 246
    ///DistMap type.
247
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
252 248
    template <class T>
253 249
    struct SetDistMap : public Dfs< Digraph, SetDistMapTraits<T> > {
254 250
      typedef Dfs<Digraph, SetDistMapTraits<T> > Create;
255 251
    };
256 252

	
257 253
    template <class T>
258 254
    struct SetReachedMapTraits : public Traits {
259 255
      typedef T ReachedMap;
260 256
      static ReachedMap *createReachedMap(const Digraph &)
261 257
      {
262 258
        LEMON_ASSERT(false, "ReachedMap is not initialized");
263 259
        return 0; // ignore warnings
264 260
      }
265 261
    };
266 262
    ///\brief \ref named-templ-param "Named parameter" for setting
267 263
    ///ReachedMap type.
268 264
    ///
269 265
    ///\ref named-templ-param "Named parameter" for setting
270 266
    ///ReachedMap type.
267
    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
271 268
    template <class T>
272 269
    struct SetReachedMap : public Dfs< Digraph, SetReachedMapTraits<T> > {
273 270
      typedef Dfs< Digraph, SetReachedMapTraits<T> > Create;
274 271
    };
275 272

	
276 273
    template <class T>
277 274
    struct SetProcessedMapTraits : public Traits {
278 275
      typedef T ProcessedMap;
279 276
      static ProcessedMap *createProcessedMap(const Digraph &)
280 277
      {
281 278
        LEMON_ASSERT(false, "ProcessedMap is not initialized");
282 279
        return 0; // ignore warnings
283 280
      }
284 281
    };
285 282
    ///\brief \ref named-templ-param "Named parameter" for setting
286 283
    ///ProcessedMap type.
287 284
    ///
288 285
    ///\ref named-templ-param "Named parameter" for setting
289 286
    ///ProcessedMap type.
287
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
290 288
    template <class T>
291 289
    struct SetProcessedMap : public Dfs< Digraph, SetProcessedMapTraits<T> > {
292 290
      typedef Dfs< Digraph, SetProcessedMapTraits<T> > Create;
293 291
    };
294 292

	
295 293
    struct SetStandardProcessedMapTraits : public Traits {
296 294
      typedef typename Digraph::template NodeMap<bool> ProcessedMap;
297 295
      static ProcessedMap *createProcessedMap(const Digraph &g)
298 296
      {
299 297
        return new ProcessedMap(g);
300 298
      }
301 299
    };
302 300
    ///\brief \ref named-templ-param "Named parameter" for setting
303 301
    ///ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
304 302
    ///
305 303
    ///\ref named-templ-param "Named parameter" for setting
306 304
    ///ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
307 305
    ///If you don't set it explicitly, it will be automatically allocated.
308 306
    struct SetStandardProcessedMap :
309 307
      public Dfs< Digraph, SetStandardProcessedMapTraits > {
310 308
      typedef Dfs< Digraph, SetStandardProcessedMapTraits > Create;
311 309
    };
312 310

	
313 311
    ///@}
314 312

	
315 313
  public:
316 314

	
317 315
    ///Constructor.
318 316

	
319 317
    ///Constructor.
320 318
    ///\param g The digraph the algorithm runs on.
321 319
    Dfs(const Digraph &g) :
322 320
      G(&g),
323 321
      _pred(NULL), local_pred(false),
324 322
      _dist(NULL), local_dist(false),
325 323
      _reached(NULL), local_reached(false),
326 324
      _processed(NULL), local_processed(false)
327 325
    { }
328 326

	
329 327
    ///Destructor.
330 328
    ~Dfs()
331 329
    {
332 330
      if(local_pred) delete _pred;
333 331
      if(local_dist) delete _dist;
334 332
      if(local_reached) delete _reached;
335 333
      if(local_processed) delete _processed;
336 334
    }
337 335

	
338 336
    ///Sets the map that stores the predecessor arcs.
339 337

	
340 338
    ///Sets the map that stores the predecessor arcs.
341
    ///If you don't use this function before calling \ref run(),
342
    ///it will allocate one. The destructor deallocates this
343
    ///automatically allocated map, of course.
339
    ///If you don't use this function before calling \ref run(Node) "run()"
340
    ///or \ref init(), an instance will be allocated automatically.
341
    ///The destructor deallocates this automatically allocated map,
342
    ///of course.
344 343
    ///\return <tt> (*this) </tt>
345 344
    Dfs &predMap(PredMap &m)
346 345
    {
347 346
      if(local_pred) {
348 347
        delete _pred;
349 348
        local_pred=false;
350 349
      }
351 350
      _pred = &m;
352 351
      return *this;
353 352
    }
354 353

	
355 354
    ///Sets the map that indicates which nodes are reached.
356 355

	
357 356
    ///Sets the map that indicates which nodes are reached.
358
    ///If you don't use this function before calling \ref run(),
359
    ///it will allocate one. The destructor deallocates this
360
    ///automatically allocated map, of course.
357
    ///If you don't use this function before calling \ref run(Node) "run()"
358
    ///or \ref init(), an instance will be allocated automatically.
359
    ///The destructor deallocates this automatically allocated map,
360
    ///of course.
361 361
    ///\return <tt> (*this) </tt>
362 362
    Dfs &reachedMap(ReachedMap &m)
363 363
    {
364 364
      if(local_reached) {
365 365
        delete _reached;
366 366
        local_reached=false;
367 367
      }
368 368
      _reached = &m;
369 369
      return *this;
370 370
    }
371 371

	
372 372
    ///Sets the map that indicates which nodes are processed.
373 373

	
374 374
    ///Sets the map that indicates which nodes are processed.
375
    ///If you don't use this function before calling \ref run(),
376
    ///it will allocate one. The destructor deallocates this
377
    ///automatically allocated map, of course.
375
    ///If you don't use this function before calling \ref run(Node) "run()"
376
    ///or \ref init(), an instance will be allocated automatically.
377
    ///The destructor deallocates this automatically allocated map,
378
    ///of course.
378 379
    ///\return <tt> (*this) </tt>
379 380
    Dfs &processedMap(ProcessedMap &m)
380 381
    {
381 382
      if(local_processed) {
382 383
        delete _processed;
383 384
        local_processed=false;
384 385
      }
385 386
      _processed = &m;
386 387
      return *this;
387 388
    }
388 389

	
389 390
    ///Sets the map that stores the distances of the nodes.
390 391

	
391 392
    ///Sets the map that stores the distances of the nodes calculated by
392 393
    ///the algorithm.
393
    ///If you don't use this function before calling \ref run(),
394
    ///it will allocate one. The destructor deallocates this
395
    ///automatically allocated map, of course.
394
    ///If you don't use this function before calling \ref run(Node) "run()"
395
    ///or \ref init(), an instance will be allocated automatically.
396
    ///The destructor deallocates this automatically allocated map,
397
    ///of course.
396 398
    ///\return <tt> (*this) </tt>
397 399
    Dfs &distMap(DistMap &m)
398 400
    {
399 401
      if(local_dist) {
400 402
        delete _dist;
401 403
        local_dist=false;
402 404
      }
403 405
      _dist = &m;
404 406
      return *this;
405 407
    }
406 408

	
407 409
  public:
408 410

	
409
    ///\name Execution control
410
    ///The simplest way to execute the algorithm is to use
411
    ///one of the member functions called \ref lemon::Dfs::run() "run()".
412
    ///\n
413
    ///If you need more control on the execution, first you must call
414
    ///\ref lemon::Dfs::init() "init()", then you can add a source node
415
    ///with \ref lemon::Dfs::addSource() "addSource()".
416
    ///Finally \ref lemon::Dfs::start() "start()" will perform the
417
    ///actual path computation.
411
    ///\name Execution Control
412
    ///The simplest way to execute the DFS algorithm is to use one of the
413
    ///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()
416
    ///and perform the actual computation with \ref start().
417
    ///This procedure can be repeated if there are nodes that have not
418
    ///been reached.
418 419

	
419 420
    ///@{
420 421

	
422
    ///\brief Initializes the internal data structures.
423
    ///
421 424
    ///Initializes the internal data structures.
422

	
423
    ///Initializes the internal data structures.
424
    ///
425 425
    void init()
426 426
    {
427 427
      create_maps();
428 428
      _stack.resize(countNodes(*G));
429 429
      _stack_head=-1;
430 430
      for ( NodeIt u(*G) ; u!=INVALID ; ++u ) {
431 431
        _pred->set(u,INVALID);
432 432
        _reached->set(u,false);
433 433
        _processed->set(u,false);
434 434
      }
435 435
    }
436 436

	
437 437
    ///Adds a new source node.
438 438

	
439 439
    ///Adds a new source node to the set of nodes to be processed.
440 440
    ///
441
    ///\pre The stack must be empty. (Otherwise the algorithm gives
442
    ///false results.)
443
    ///
444
    ///\warning Distances will be wrong (or at least strange) in case of
445
    ///multiple sources.
441
    ///\pre The stack must be empty. Otherwise the algorithm gives
442
    ///wrong results. (One of the outgoing arcs of all the source nodes
443
    ///except for the last one will not be visited and distances will
444
    ///also be wrong.)
446 445
    void addSource(Node s)
447 446
    {
448 447
      LEMON_DEBUG(emptyQueue(), "The stack is not empty.");
449 448
      if(!(*_reached)[s])
450 449
        {
451 450
          _reached->set(s,true);
452 451
          _pred->set(s,INVALID);
453 452
          OutArcIt e(*G,s);
454 453
          if(e!=INVALID) {
455 454
            _stack[++_stack_head]=e;
456 455
            _dist->set(s,_stack_head);
457 456
          }
458 457
          else {
459 458
            _processed->set(s,true);
460 459
            _dist->set(s,0);
461 460
          }
462 461
        }
463 462
    }
464 463

	
465 464
    ///Processes the next arc.
466 465

	
467 466
    ///Processes the next arc.
468 467
    ///
469 468
    ///\return The processed arc.
470 469
    ///
471 470
    ///\pre The stack must not be empty.
472 471
    Arc processNextArc()
473 472
    {
474 473
      Node m;
475 474
      Arc e=_stack[_stack_head];
476 475
      if(!(*_reached)[m=G->target(e)]) {
477 476
        _pred->set(m,e);
478 477
        _reached->set(m,true);
479 478
        ++_stack_head;
480 479
        _stack[_stack_head] = OutArcIt(*G, m);
481 480
        _dist->set(m,_stack_head);
482 481
      }
483 482
      else {
484 483
        m=G->source(e);
485 484
        ++_stack[_stack_head];
486 485
      }
487 486
      while(_stack_head>=0 && _stack[_stack_head]==INVALID) {
488 487
        _processed->set(m,true);
489 488
        --_stack_head;
490 489
        if(_stack_head>=0) {
491 490
          m=G->source(_stack[_stack_head]);
492 491
          ++_stack[_stack_head];
493 492
        }
494 493
      }
495 494
      return e;
496 495
    }
497 496

	
498 497
    ///Next arc to be processed.
499 498

	
500 499
    ///Next arc to be processed.
501 500
    ///
502 501
    ///\return The next arc to be processed or \c INVALID if the stack
503 502
    ///is empty.
504 503
    OutArcIt nextArc() const
505 504
    {
506 505
      return _stack_head>=0?_stack[_stack_head]:INVALID;
507 506
    }
508 507

	
509
    ///\brief Returns \c false if there are nodes
510
    ///to be processed.
511
    ///
512
    ///Returns \c false if there are nodes
513
    ///to be processed in the queue (stack).
508
    ///Returns \c false if there are nodes to be processed.
509

	
510
    ///Returns \c false if there are nodes to be processed
511
    ///in the queue (stack).
514 512
    bool emptyQueue() const { return _stack_head<0; }
515 513

	
516 514
    ///Returns the number of the nodes to be processed.
517 515

	
518
    ///Returns the number of the nodes to be processed in the queue (stack).
516
    ///Returns the number of the nodes to be processed
517
    ///in the queue (stack).
519 518
    int queueSize() const { return _stack_head+1; }
520 519

	
521 520
    ///Executes the algorithm.
522 521

	
523 522
    ///Executes the algorithm.
524 523
    ///
525 524
    ///This method runs the %DFS algorithm from the root node
526 525
    ///in order to compute the DFS path to each node.
527 526
    ///
528 527
    /// The algorithm computes
529 528
    ///- the %DFS tree,
530 529
    ///- the distance of each node from the root in the %DFS tree.
531 530
    ///
532 531
    ///\pre init() must be called and a root node should be
533 532
    ///added with addSource() before using this function.
534 533
    ///
535 534
    ///\note <tt>d.start()</tt> is just a shortcut of the following code.
536 535
    ///\code
537 536
    ///  while ( !d.emptyQueue() ) {
538 537
    ///    d.processNextArc();
539 538
    ///  }
540 539
    ///\endcode
541 540
    void start()
542 541
    {
543 542
      while ( !emptyQueue() ) processNextArc();
544 543
    }
545 544

	
546 545
    ///Executes the algorithm until the given target node is reached.
547 546

	
548 547
    ///Executes the algorithm until the given target node is reached.
549 548
    ///
550 549
    ///This method runs the %DFS algorithm from the root node
551 550
    ///in order to compute the DFS path to \c t.
552 551
    ///
553 552
    ///The algorithm computes
554 553
    ///- the %DFS path to \c t,
555 554
    ///- the distance of \c t from the root in the %DFS tree.
556 555
    ///
557 556
    ///\pre init() must be called and a root node should be
558 557
    ///added with addSource() before using this function.
559 558
    void start(Node t)
560 559
    {
561 560
      while ( !emptyQueue() && G->target(_stack[_stack_head])!=t )
562 561
        processNextArc();
563 562
    }
564 563

	
565 564
    ///Executes the algorithm until a condition is met.
566 565

	
567 566
    ///Executes the algorithm until a condition is met.
568 567
    ///
569 568
    ///This method runs the %DFS algorithm from the root node
570 569
    ///until an arc \c a with <tt>am[a]</tt> true is found.
571 570
    ///
572 571
    ///\param am A \c bool (or convertible) arc map. The algorithm
573 572
    ///will stop when it reaches an arc \c a with <tt>am[a]</tt> true.
574 573
    ///
575 574
    ///\return The reached arc \c a with <tt>am[a]</tt> true or
576 575
    ///\c INVALID if no such arc was found.
577 576
    ///
578 577
    ///\pre init() must be called and a root node should be
579 578
    ///added with addSource() before using this function.
580 579
    ///
581 580
    ///\warning Contrary to \ref Bfs and \ref Dijkstra, \c am is an arc map,
582 581
    ///not a node map.
583 582
    template<class ArcBoolMap>
584 583
    Arc start(const ArcBoolMap &am)
585 584
    {
586 585
      while ( !emptyQueue() && !am[_stack[_stack_head]] )
587 586
        processNextArc();
588 587
      return emptyQueue() ? INVALID : _stack[_stack_head];
589 588
    }
590 589

	
591 590
    ///Runs the algorithm from the given source node.
592 591

	
593 592
    ///This method runs the %DFS algorithm from node \c s
594 593
    ///in order to compute the DFS path to each node.
595 594
    ///
596 595
    ///The algorithm computes
597 596
    ///- the %DFS tree,
598 597
    ///- the distance of each node from the root in the %DFS tree.
599 598
    ///
600 599
    ///\note <tt>d.run(s)</tt> is just a shortcut of the following code.
601 600
    ///\code
602 601
    ///  d.init();
603 602
    ///  d.addSource(s);
604 603
    ///  d.start();
605 604
    ///\endcode
606 605
    void run(Node s) {
607 606
      init();
608 607
      addSource(s);
609 608
      start();
610 609
    }
611 610

	
612 611
    ///Finds the %DFS path between \c s and \c t.
613 612

	
614 613
    ///This method runs the %DFS algorithm from node \c s
615 614
    ///in order to compute the DFS path to node \c t
616 615
    ///(it stops searching when \c t is processed)
617 616
    ///
618 617
    ///\return \c true if \c t is reachable form \c s.
619 618
    ///
620 619
    ///\note Apart from the return value, <tt>d.run(s,t)</tt> is
621 620
    ///just a shortcut of the following code.
622 621
    ///\code
623 622
    ///  d.init();
624 623
    ///  d.addSource(s);
625 624
    ///  d.start(t);
626 625
    ///\endcode
627 626
    bool run(Node s,Node t) {
628 627
      init();
629 628
      addSource(s);
630 629
      start(t);
631 630
      return reached(t);
632 631
    }
633 632

	
634 633
    ///Runs the algorithm to visit all nodes in the digraph.
635 634

	
636 635
    ///This method runs the %DFS algorithm in order to compute the
637 636
    ///%DFS path to each node.
638 637
    ///
639 638
    ///The algorithm computes
640
    ///- the %DFS tree,
641
    ///- the distance of each node from the root in the %DFS tree.
639
    ///- the %DFS tree (forest),
640
    ///- the distance of each node from the root(s) in the %DFS tree.
642 641
    ///
643 642
    ///\note <tt>d.run()</tt> is just a shortcut of the following code.
644 643
    ///\code
645 644
    ///  d.init();
646 645
    ///  for (NodeIt n(digraph); n != INVALID; ++n) {
647 646
    ///    if (!d.reached(n)) {
648 647
    ///      d.addSource(n);
649 648
    ///      d.start();
650 649
    ///    }
651 650
    ///  }
652 651
    ///\endcode
653 652
    void run() {
654 653
      init();
655 654
      for (NodeIt it(*G); it != INVALID; ++it) {
656 655
        if (!reached(it)) {
657 656
          addSource(it);
658 657
          start();
659 658
        }
660 659
      }
661 660
    }
662 661

	
663 662
    ///@}
664 663

	
665 664
    ///\name Query Functions
666
    ///The result of the %DFS algorithm can be obtained using these
665
    ///The results of the DFS algorithm can be obtained using these
667 666
    ///functions.\n
668
    ///Either \ref lemon::Dfs::run() "run()" or \ref lemon::Dfs::start()
669
    ///"start()" must be called before using them.
667
    ///Either \ref run(Node) "run()" or \ref start() should be called
668
    ///before using them.
670 669

	
671 670
    ///@{
672 671

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

	
675 674
    ///Returns the DFS path to a node.
676 675
    ///
677
    ///\warning \c t should be reachable from the root.
676
    ///\warning \c t should be reached from the root(s).
678 677
    ///
679
    ///\pre Either \ref run() or \ref start() must be called before
680
    ///using this function.
678
    ///\pre Either \ref run(Node) "run()" or \ref init()
679
    ///must be called before using this function.
681 680
    Path path(Node t) const { return Path(*G, *_pred, t); }
682 681

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

	
685
    ///Returns the distance of a node from the root.
684
    ///Returns the distance of a node from the root(s).
686 685
    ///
687
    ///\warning If node \c v is not reachable from the root, then
686
    ///\warning If node \c v is not reached from the root(s), then
688 687
    ///the return value of this function is undefined.
689 688
    ///
690
    ///\pre Either \ref run() or \ref start() must be called before
691
    ///using this function.
689
    ///\pre Either \ref run(Node) "run()" or \ref init()
690
    ///must be called before using this function.
692 691
    int dist(Node v) const { return (*_dist)[v]; }
693 692

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

	
696 695
    ///This function returns the 'previous arc' of the %DFS tree for the
697
    ///node \c v, i.e. it returns the last arc of a %DFS path from the
698
    ///root to \c v. It is \c INVALID
699
    ///if \c v is not reachable from the root(s) or if \c v is a root.
696
    ///node \c v, i.e. it returns the last arc of a %DFS path from a
697
    ///root to \c v. It is \c INVALID if \c v is not reached from the
698
    ///root(s) or if \c v is a root.
700 699
    ///
701 700
    ///The %DFS tree used here is equal to the %DFS tree used in
702 701
    ///\ref predNode().
703 702
    ///
704
    ///\pre Either \ref run() or \ref start() must be called before using
705
    ///this function.
703
    ///\pre Either \ref run(Node) "run()" or \ref init()
704
    ///must be called before using this function.
706 705
    Arc predArc(Node v) const { return (*_pred)[v];}
707 706

	
708 707
    ///Returns the 'previous node' of the %DFS tree.
709 708

	
710 709
    ///This function returns the 'previous node' of the %DFS
711 710
    ///tree for the node \c v, i.e. it returns the last but one node
712
    ///from a %DFS path from the root to \c v. It is \c INVALID
713
    ///if \c v is not reachable from the root(s) or if \c v is a root.
711
    ///from a %DFS path from a root to \c v. It is \c INVALID
712
    ///if \c v is not reached from the root(s) or if \c v is a root.
714 713
    ///
715 714
    ///The %DFS tree used here is equal to the %DFS tree used in
716 715
    ///\ref predArc().
717 716
    ///
718
    ///\pre Either \ref run() or \ref start() must be called before
719
    ///using this function.
717
    ///\pre Either \ref run(Node) "run()" or \ref init()
718
    ///must be called before using this function.
720 719
    Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID:
721 720
                                  G->source((*_pred)[v]); }
722 721

	
723 722
    ///\brief Returns a const reference to the node map that stores the
724 723
    ///distances of the nodes.
725 724
    ///
726 725
    ///Returns a const reference to the node map that stores the
727 726
    ///distances of the nodes calculated by the algorithm.
728 727
    ///
729
    ///\pre Either \ref run() or \ref init()
728
    ///\pre Either \ref run(Node) "run()" or \ref init()
730 729
    ///must be called before using this function.
731 730
    const DistMap &distMap() const { return *_dist;}
732 731

	
733 732
    ///\brief Returns a const reference to the node map that stores the
734 733
    ///predecessor arcs.
735 734
    ///
736 735
    ///Returns a const reference to the node map that stores the predecessor
737 736
    ///arcs, which form the DFS tree.
738 737
    ///
739
    ///\pre Either \ref run() or \ref init()
738
    ///\pre Either \ref run(Node) "run()" or \ref init()
740 739
    ///must be called before using this function.
741 740
    const PredMap &predMap() const { return *_pred;}
742 741

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

	
745
    ///Returns \c true if \c v is reachable from the root(s).
746
    ///\pre Either \ref run() or \ref start()
744
    ///Returns \c true if \c v is reached from the root(s).
745
    ///
746
    ///\pre Either \ref run(Node) "run()" or \ref init()
747 747
    ///must be called before using this function.
748 748
    bool reached(Node v) const { return (*_reached)[v]; }
749 749

	
750 750
    ///@}
751 751
  };
752 752

	
753 753
  ///Default traits class of dfs() function.
754 754

	
755 755
  ///Default traits class of dfs() function.
756 756
  ///\tparam GR Digraph type.
757 757
  template<class GR>
758 758
  struct DfsWizardDefaultTraits
759 759
  {
760 760
    ///The type of the digraph the algorithm runs on.
761 761
    typedef GR Digraph;
762 762

	
763 763
    ///\brief The type of the map that stores the predecessor
764 764
    ///arcs of the %DFS paths.
765 765
    ///
766 766
    ///The type of the map that stores the predecessor
767 767
    ///arcs of the %DFS paths.
768 768
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
769 769
    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
770 770
    ///Instantiates a PredMap.
771 771

	
772 772
    ///This function instantiates a PredMap.
773 773
    ///\param g is the digraph, to which we would like to define the
774 774
    ///PredMap.
775 775
    static PredMap *createPredMap(const Digraph &g)
776 776
    {
777 777
      return new PredMap(g);
778 778
    }
779 779

	
780 780
    ///The type of the map that indicates which nodes are processed.
781 781

	
782 782
    ///The type of the map that indicates which nodes are processed.
783 783
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
784 784
    ///By default it is a NullMap.
785 785
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
786 786
    ///Instantiates a ProcessedMap.
787 787

	
788 788
    ///This function instantiates a ProcessedMap.
789 789
    ///\param g is the digraph, to which
790 790
    ///we would like to define the ProcessedMap.
791 791
#ifdef DOXYGEN
792 792
    static ProcessedMap *createProcessedMap(const Digraph &g)
793 793
#else
794 794
    static ProcessedMap *createProcessedMap(const Digraph &)
795 795
#endif
796 796
    {
797 797
      return new ProcessedMap();
798 798
    }
799 799

	
800 800
    ///The type of the map that indicates which nodes are reached.
801 801

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

	
807 807
    ///This function instantiates a ReachedMap.
808 808
    ///\param g is the digraph, to which
809 809
    ///we would like to define the ReachedMap.
810 810
    static ReachedMap *createReachedMap(const Digraph &g)
811 811
    {
812 812
      return new ReachedMap(g);
813 813
    }
814 814

	
815 815
    ///The type of the map that stores the distances of the nodes.
816 816

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

	
822 822
    ///This function instantiates a DistMap.
823 823
    ///\param g is the digraph, to which we would like to define
824 824
    ///the DistMap
825 825
    static DistMap *createDistMap(const Digraph &g)
826 826
    {
827 827
      return new DistMap(g);
828 828
    }
829 829

	
830 830
    ///The type of the DFS paths.
831 831

	
832 832
    ///The type of the DFS paths.
833 833
    ///It must meet the \ref concepts::Path "Path" concept.
834 834
    typedef lemon::Path<Digraph> Path;
835 835
  };
836 836

	
837 837
  /// Default traits class used by DfsWizard
838 838

	
839 839
  /// To make it easier to use Dfs algorithm
840 840
  /// we have created a wizard class.
841 841
  /// This \ref DfsWizard class needs default traits,
842 842
  /// as well as the \ref Dfs class.
843 843
  /// The \ref DfsWizardBase is a class to be the default traits of the
844 844
  /// \ref DfsWizard class.
845 845
  template<class GR>
846 846
  class DfsWizardBase : public DfsWizardDefaultTraits<GR>
847 847
  {
848 848

	
849 849
    typedef DfsWizardDefaultTraits<GR> Base;
850 850
  protected:
851 851
    //The type of the nodes in the digraph.
852 852
    typedef typename Base::Digraph::Node Node;
853 853

	
854 854
    //Pointer to the digraph the algorithm runs on.
855 855
    void *_g;
856 856
    //Pointer to the map of reached nodes.
857 857
    void *_reached;
858 858
    //Pointer to the map of processed nodes.
859 859
    void *_processed;
860 860
    //Pointer to the map of predecessors arcs.
861 861
    void *_pred;
862 862
    //Pointer to the map of distances.
863 863
    void *_dist;
864 864
    //Pointer to the DFS path to the target node.
865 865
    void *_path;
866 866
    //Pointer to the distance of the target node.
867 867
    int *_di;
868 868

	
869 869
    public:
870 870
    /// Constructor.
871 871

	
872 872
    /// This constructor does not require parameters, therefore it initiates
873 873
    /// all of the attributes to \c 0.
874 874
    DfsWizardBase() : _g(0), _reached(0), _processed(0), _pred(0),
875 875
                      _dist(0), _path(0), _di(0) {}
876 876

	
877 877
    /// Constructor.
878 878

	
879 879
    /// This constructor requires one parameter,
880 880
    /// others are initiated to \c 0.
881 881
    /// \param g The digraph the algorithm runs on.
882 882
    DfsWizardBase(const GR &g) :
883 883
      _g(reinterpret_cast<void*>(const_cast<GR*>(&g))),
884 884
      _reached(0), _processed(0), _pred(0), _dist(0),  _path(0), _di(0) {}
885 885

	
886 886
  };
887 887

	
888 888
  /// Auxiliary class for the function-type interface of DFS algorithm.
889 889

	
890 890
  /// This auxiliary class is created to implement the
891 891
  /// \ref dfs() "function-type interface" of \ref Dfs algorithm.
892
  /// It does not have own \ref run() method, it uses the functions
893
  /// and features of the plain \ref Dfs.
892
  /// It does not have own \ref run(Node) "run()" method, it uses the
893
  /// functions and features of the plain \ref Dfs.
894 894
  ///
895 895
  /// This class should only be used through the \ref dfs() function,
896 896
  /// which makes it easier to use the algorithm.
897 897
  template<class TR>
898 898
  class DfsWizard : public TR
899 899
  {
900 900
    typedef TR Base;
901 901

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

	
905 905
    typedef typename Digraph::Node Node;
906 906
    typedef typename Digraph::NodeIt NodeIt;
907 907
    typedef typename Digraph::Arc Arc;
908 908
    typedef typename Digraph::OutArcIt OutArcIt;
909 909

	
910 910
    ///\brief The type of the map that stores the predecessor
911 911
    ///arcs of the DFS paths.
912 912
    typedef typename TR::PredMap PredMap;
913 913
    ///\brief The type of the map that stores the distances of the nodes.
914 914
    typedef typename TR::DistMap DistMap;
915 915
    ///\brief The type of the map that indicates which nodes are reached.
916 916
    typedef typename TR::ReachedMap ReachedMap;
917 917
    ///\brief The type of the map that indicates which nodes are processed.
918 918
    typedef typename TR::ProcessedMap ProcessedMap;
919 919
    ///The type of the DFS paths
920 920
    typedef typename TR::Path Path;
921 921

	
922 922
  public:
923 923

	
924 924
    /// Constructor.
925 925
    DfsWizard() : TR() {}
926 926

	
927 927
    /// Constructor that requires parameters.
928 928

	
929 929
    /// Constructor that requires parameters.
930 930
    /// These parameters will be the default values for the traits class.
931 931
    /// \param g The digraph the algorithm runs on.
932 932
    DfsWizard(const Digraph &g) :
933 933
      TR(g) {}
934 934

	
935 935
    ///Copy constructor
936 936
    DfsWizard(const TR &b) : TR(b) {}
937 937

	
938 938
    ~DfsWizard() {}
939 939

	
940 940
    ///Runs DFS algorithm from the given source node.
941 941

	
942 942
    ///This method runs DFS algorithm from node \c s
943 943
    ///in order to compute the DFS path to each node.
944 944
    void run(Node s)
945 945
    {
946 946
      Dfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g));
947 947
      if (Base::_pred)
948 948
        alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
949 949
      if (Base::_dist)
950 950
        alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
951 951
      if (Base::_reached)
952 952
        alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached));
953 953
      if (Base::_processed)
954 954
        alg.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed));
955 955
      if (s!=INVALID)
956 956
        alg.run(s);
957 957
      else
958 958
        alg.run();
959 959
    }
960 960

	
961 961
    ///Finds the DFS path between \c s and \c t.
962 962

	
963 963
    ///This method runs DFS algorithm from node \c s
964 964
    ///in order to compute the DFS path to node \c t
965 965
    ///(it stops searching when \c t is processed).
966 966
    ///
967 967
    ///\return \c true if \c t is reachable form \c s.
968 968
    bool run(Node s, Node t)
969 969
    {
970 970
      Dfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g));
971 971
      if (Base::_pred)
972 972
        alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
973 973
      if (Base::_dist)
974 974
        alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
975 975
      if (Base::_reached)
976 976
        alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached));
977 977
      if (Base::_processed)
978 978
        alg.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed));
979 979
      alg.run(s,t);
980 980
      if (Base::_path)
981 981
        *reinterpret_cast<Path*>(Base::_path) = alg.path(t);
982 982
      if (Base::_di)
983 983
        *Base::_di = alg.dist(t);
984 984
      return alg.reached(t);
985 985
      }
986 986

	
987 987
    ///Runs DFS algorithm to visit all nodes in the digraph.
988 988

	
989 989
    ///This method runs DFS algorithm in order to compute
990 990
    ///the DFS path to each node.
991 991
    void run()
992 992
    {
993 993
      run(INVALID);
994 994
    }
995 995

	
996 996
    template<class T>
997 997
    struct SetPredMapBase : public Base {
998 998
      typedef T PredMap;
999 999
      static PredMap *createPredMap(const Digraph &) { return 0; };
1000 1000
      SetPredMapBase(const TR &b) : TR(b) {}
1001 1001
    };
1002 1002
    ///\brief \ref named-func-param "Named parameter"
1003 1003
    ///for setting PredMap object.
1004 1004
    ///
1005 1005
    ///\ref named-func-param "Named parameter"
1006 1006
    ///for setting PredMap object.
1007 1007
    template<class T>
1008 1008
    DfsWizard<SetPredMapBase<T> > predMap(const T &t)
1009 1009
    {
1010 1010
      Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t));
1011 1011
      return DfsWizard<SetPredMapBase<T> >(*this);
1012 1012
    }
1013 1013

	
1014 1014
    template<class T>
1015 1015
    struct SetReachedMapBase : public Base {
1016 1016
      typedef T ReachedMap;
1017 1017
      static ReachedMap *createReachedMap(const Digraph &) { return 0; };
1018 1018
      SetReachedMapBase(const TR &b) : TR(b) {}
1019 1019
    };
1020 1020
    ///\brief \ref named-func-param "Named parameter"
1021 1021
    ///for setting ReachedMap object.
1022 1022
    ///
1023 1023
    /// \ref named-func-param "Named parameter"
1024 1024
    ///for setting ReachedMap object.
1025 1025
    template<class T>
1026 1026
    DfsWizard<SetReachedMapBase<T> > reachedMap(const T &t)
1027 1027
    {
1028 1028
      Base::_reached=reinterpret_cast<void*>(const_cast<T*>(&t));
1029 1029
      return DfsWizard<SetReachedMapBase<T> >(*this);
1030 1030
    }
1031 1031

	
1032 1032
    template<class T>
1033 1033
    struct SetDistMapBase : public Base {
1034 1034
      typedef T DistMap;
1035 1035
      static DistMap *createDistMap(const Digraph &) { return 0; };
1036 1036
      SetDistMapBase(const TR &b) : TR(b) {}
1037 1037
    };
1038 1038
    ///\brief \ref named-func-param "Named parameter"
1039 1039
    ///for setting DistMap object.
1040 1040
    ///
1041 1041
    /// \ref named-func-param "Named parameter"
1042 1042
    ///for setting DistMap object.
1043 1043
    template<class T>
1044 1044
    DfsWizard<SetDistMapBase<T> > distMap(const T &t)
1045 1045
    {
1046 1046
      Base::_dist=reinterpret_cast<void*>(const_cast<T*>(&t));
1047 1047
      return DfsWizard<SetDistMapBase<T> >(*this);
1048 1048
    }
1049 1049

	
1050 1050
    template<class T>
1051 1051
    struct SetProcessedMapBase : public Base {
1052 1052
      typedef T ProcessedMap;
1053 1053
      static ProcessedMap *createProcessedMap(const Digraph &) { return 0; };
1054 1054
      SetProcessedMapBase(const TR &b) : TR(b) {}
1055 1055
    };
1056 1056
    ///\brief \ref named-func-param "Named parameter"
1057 1057
    ///for setting ProcessedMap object.
1058 1058
    ///
1059 1059
    /// \ref named-func-param "Named parameter"
1060 1060
    ///for setting ProcessedMap object.
1061 1061
    template<class T>
1062 1062
    DfsWizard<SetProcessedMapBase<T> > processedMap(const T &t)
1063 1063
    {
1064 1064
      Base::_processed=reinterpret_cast<void*>(const_cast<T*>(&t));
1065 1065
      return DfsWizard<SetProcessedMapBase<T> >(*this);
1066 1066
    }
1067 1067

	
1068 1068
    template<class T>
1069 1069
    struct SetPathBase : public Base {
1070 1070
      typedef T Path;
1071 1071
      SetPathBase(const TR &b) : TR(b) {}
1072 1072
    };
1073 1073
    ///\brief \ref named-func-param "Named parameter"
1074 1074
    ///for getting the DFS path to the target node.
1075 1075
    ///
1076 1076
    ///\ref named-func-param "Named parameter"
1077 1077
    ///for getting the DFS path to the target node.
1078 1078
    template<class T>
1079 1079
    DfsWizard<SetPathBase<T> > path(const T &t)
1080 1080
    {
1081 1081
      Base::_path=reinterpret_cast<void*>(const_cast<T*>(&t));
1082 1082
      return DfsWizard<SetPathBase<T> >(*this);
1083 1083
    }
1084 1084

	
1085 1085
    ///\brief \ref named-func-param "Named parameter"
1086 1086
    ///for getting the distance of the target node.
1087 1087
    ///
1088 1088
    ///\ref named-func-param "Named parameter"
1089 1089
    ///for getting the distance of the target node.
1090 1090
    DfsWizard dist(const int &d)
1091 1091
    {
1092 1092
      Base::_di=const_cast<int*>(&d);
1093 1093
      return *this;
1094 1094
    }
1095 1095

	
1096 1096
  };
1097 1097

	
1098 1098
  ///Function-type interface for DFS algorithm.
1099 1099

	
1100 1100
  ///\ingroup search
1101 1101
  ///Function-type interface for DFS algorithm.
1102 1102
  ///
1103 1103
  ///This function also has several \ref named-func-param "named parameters",
1104 1104
  ///they are declared as the members of class \ref DfsWizard.
1105 1105
  ///The following examples show how to use these parameters.
1106 1106
  ///\code
1107 1107
  ///  // Compute the DFS tree
1108 1108
  ///  dfs(g).predMap(preds).distMap(dists).run(s);
1109 1109
  ///
1110 1110
  ///  // Compute the DFS path from s to t
1111 1111
  ///  bool reached = dfs(g).path(p).dist(d).run(s,t);
1112 1112
  ///\endcode
1113

	
1114
  ///\warning Don't forget to put the \ref DfsWizard::run() "run()"
1113
  ///\warning Don't forget to put the \ref DfsWizard::run(Node) "run()"
1115 1114
  ///to the end of the parameter list.
1116 1115
  ///\sa DfsWizard
1117 1116
  ///\sa Dfs
1118 1117
  template<class GR>
1119 1118
  DfsWizard<DfsWizardBase<GR> >
1120 1119
  dfs(const GR &digraph)
1121 1120
  {
1122 1121
    return DfsWizard<DfsWizardBase<GR> >(digraph);
1123 1122
  }
1124 1123

	
1125 1124
#ifdef DOXYGEN
1126 1125
  /// \brief Visitor class for DFS.
1127 1126
  ///
1128 1127
  /// This class defines the interface of the DfsVisit events, and
1129 1128
  /// it could be the base of a real visitor class.
1130 1129
  template <typename _Digraph>
1131 1130
  struct DfsVisitor {
1132 1131
    typedef _Digraph Digraph;
1133 1132
    typedef typename Digraph::Arc Arc;
1134 1133
    typedef typename Digraph::Node Node;
1135 1134
    /// \brief Called for the source node of the DFS.
1136 1135
    ///
1137 1136
    /// This function is called for the source node of the DFS.
1138 1137
    void start(const Node& node) {}
1139 1138
    /// \brief Called when the source node is leaved.
1140 1139
    ///
1141 1140
    /// This function is called when the source node is leaved.
1142 1141
    void stop(const Node& node) {}
1143 1142
    /// \brief Called when a node is reached first time.
1144 1143
    ///
1145 1144
    /// This function is called when a node is reached first time.
1146 1145
    void reach(const Node& node) {}
1147 1146
    /// \brief Called when an arc reaches a new node.
1148 1147
    ///
1149 1148
    /// This function is called when the DFS finds an arc whose target node
1150 1149
    /// is not reached yet.
1151 1150
    void discover(const Arc& arc) {}
1152 1151
    /// \brief Called when an arc is examined but its target node is
1153 1152
    /// already discovered.
1154 1153
    ///
1155 1154
    /// This function is called when an arc is examined but its target node is
1156 1155
    /// already discovered.
1157 1156
    void examine(const Arc& arc) {}
1158 1157
    /// \brief Called when the DFS steps back from a node.
1159 1158
    ///
1160 1159
    /// This function is called when the DFS steps back from a node.
1161 1160
    void leave(const Node& node) {}
1162 1161
    /// \brief Called when the DFS steps back on an arc.
1163 1162
    ///
1164 1163
    /// This function is called when the DFS steps back on an arc.
1165 1164
    void backtrack(const Arc& arc) {}
1166 1165
  };
1167 1166
#else
1168 1167
  template <typename _Digraph>
1169 1168
  struct DfsVisitor {
1170 1169
    typedef _Digraph Digraph;
1171 1170
    typedef typename Digraph::Arc Arc;
1172 1171
    typedef typename Digraph::Node Node;
1173 1172
    void start(const Node&) {}
1174 1173
    void stop(const Node&) {}
1175 1174
    void reach(const Node&) {}
1176 1175
    void discover(const Arc&) {}
1177 1176
    void examine(const Arc&) {}
1178 1177
    void leave(const Node&) {}
1179 1178
    void backtrack(const Arc&) {}
1180 1179

	
1181 1180
    template <typename _Visitor>
1182 1181
    struct Constraints {
1183 1182
      void constraints() {
1184 1183
        Arc arc;
1185 1184
        Node node;
1186 1185
        visitor.start(node);
1187 1186
        visitor.stop(arc);
1188 1187
        visitor.reach(node);
1189 1188
        visitor.discover(arc);
1190 1189
        visitor.examine(arc);
1191 1190
        visitor.leave(node);
1192 1191
        visitor.backtrack(arc);
1193 1192
      }
1194 1193
      _Visitor& visitor;
1195 1194
    };
1196 1195
  };
1197 1196
#endif
1198 1197

	
1199 1198
  /// \brief Default traits class of DfsVisit class.
1200 1199
  ///
1201 1200
  /// Default traits class of DfsVisit class.
1202 1201
  /// \tparam _Digraph The type of the digraph the algorithm runs on.
1203 1202
  template<class _Digraph>
1204 1203
  struct DfsVisitDefaultTraits {
1205 1204

	
1206 1205
    /// \brief The type of the digraph the algorithm runs on.
1207 1206
    typedef _Digraph Digraph;
1208 1207

	
1209 1208
    /// \brief The type of the map that indicates which nodes are reached.
1210 1209
    ///
1211 1210
    /// The type of the map that indicates which nodes are reached.
1212 1211
    /// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
1213 1212
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
1214 1213

	
1215 1214
    /// \brief Instantiates a ReachedMap.
1216 1215
    ///
1217 1216
    /// This function instantiates a ReachedMap.
1218 1217
    /// \param digraph is the digraph, to which
1219 1218
    /// we would like to define the ReachedMap.
1220 1219
    static ReachedMap *createReachedMap(const Digraph &digraph) {
1221 1220
      return new ReachedMap(digraph);
1222 1221
    }
1223 1222

	
1224 1223
  };
1225 1224

	
1226 1225
  /// \ingroup search
1227 1226
  ///
1228 1227
  /// \brief %DFS algorithm class with visitor interface.
1229 1228
  ///
1230 1229
  /// This class provides an efficient implementation of the %DFS algorithm
1231 1230
  /// with visitor interface.
1232 1231
  ///
1233 1232
  /// The %DfsVisit class provides an alternative interface to the Dfs
1234 1233
  /// class. It works with callback mechanism, the DfsVisit object calls
1235 1234
  /// the member functions of the \c Visitor class on every DFS event.
1236 1235
  ///
1237 1236
  /// This interface of the DFS algorithm should be used in special cases
1238 1237
  /// when extra actions have to be performed in connection with certain
1239 1238
  /// events of the DFS algorithm. Otherwise consider to use Dfs or dfs()
1240 1239
  /// instead.
1241 1240
  ///
1242 1241
  /// \tparam _Digraph The type of the digraph the algorithm runs on.
1243 1242
  /// The default value is
1244 1243
  /// \ref ListDigraph. The value of _Digraph is not used directly by
1245 1244
  /// \ref DfsVisit, it is only passed to \ref DfsVisitDefaultTraits.
1246 1245
  /// \tparam _Visitor The Visitor type that is used by the algorithm.
1247 1246
  /// \ref DfsVisitor "DfsVisitor<_Digraph>" is an empty visitor, which
1248 1247
  /// does not observe the DFS events. If you want to observe the DFS
1249 1248
  /// events, you should implement your own visitor class.
1250 1249
  /// \tparam _Traits Traits class to set various data types used by the
1251 1250
  /// algorithm. The default traits class is
1252 1251
  /// \ref DfsVisitDefaultTraits "DfsVisitDefaultTraits<_Digraph>".
1253 1252
  /// See \ref DfsVisitDefaultTraits for the documentation of
1254 1253
  /// a DFS visit traits class.
1255 1254
#ifdef DOXYGEN
1256 1255
  template <typename _Digraph, typename _Visitor, typename _Traits>
1257 1256
#else
1258 1257
  template <typename _Digraph = ListDigraph,
1259 1258
            typename _Visitor = DfsVisitor<_Digraph>,
1260 1259
            typename _Traits = DfsVisitDefaultTraits<_Digraph> >
1261 1260
#endif
1262 1261
  class DfsVisit {
1263 1262
  public:
1264 1263

	
1265 1264
    ///The traits class.
1266 1265
    typedef _Traits Traits;
1267 1266

	
1268 1267
    ///The type of the digraph the algorithm runs on.
1269 1268
    typedef typename Traits::Digraph Digraph;
1270 1269

	
1271 1270
    ///The visitor type used by the algorithm.
1272 1271
    typedef _Visitor Visitor;
1273 1272

	
1274 1273
    ///The type of the map that indicates which nodes are reached.
1275 1274
    typedef typename Traits::ReachedMap ReachedMap;
1276 1275

	
1277 1276
  private:
1278 1277

	
1279 1278
    typedef typename Digraph::Node Node;
1280 1279
    typedef typename Digraph::NodeIt NodeIt;
1281 1280
    typedef typename Digraph::Arc Arc;
1282 1281
    typedef typename Digraph::OutArcIt OutArcIt;
1283 1282

	
1284 1283
    //Pointer to the underlying digraph.
1285 1284
    const Digraph *_digraph;
1286 1285
    //Pointer to the visitor object.
1287 1286
    Visitor *_visitor;
1288 1287
    //Pointer to the map of reached status of the nodes.
1289 1288
    ReachedMap *_reached;
1290 1289
    //Indicates if _reached is locally allocated (true) or not.
1291 1290
    bool local_reached;
1292 1291

	
1293 1292
    std::vector<typename Digraph::Arc> _stack;
1294 1293
    int _stack_head;
1295 1294

	
1296 1295
    //Creates the maps if necessary.
1297 1296
    void create_maps() {
1298 1297
      if(!_reached) {
1299 1298
        local_reached = true;
1300 1299
        _reached = Traits::createReachedMap(*_digraph);
1301 1300
      }
1302 1301
    }
1303 1302

	
1304 1303
  protected:
1305 1304

	
1306 1305
    DfsVisit() {}
1307 1306

	
1308 1307
  public:
1309 1308

	
1310 1309
    typedef DfsVisit Create;
1311 1310

	
1312
    /// \name Named template parameters
1311
    /// \name Named Template Parameters
1313 1312

	
1314 1313
    ///@{
1315 1314
    template <class T>
1316 1315
    struct SetReachedMapTraits : public Traits {
1317 1316
      typedef T ReachedMap;
1318 1317
      static ReachedMap *createReachedMap(const Digraph &digraph) {
1319 1318
        LEMON_ASSERT(false, "ReachedMap is not initialized");
1320 1319
        return 0; // ignore warnings
1321 1320
      }
1322 1321
    };
1323 1322
    /// \brief \ref named-templ-param "Named parameter" for setting
1324 1323
    /// ReachedMap type.
1325 1324
    ///
1326 1325
    /// \ref named-templ-param "Named parameter" for setting ReachedMap type.
1327 1326
    template <class T>
1328 1327
    struct SetReachedMap : public DfsVisit< Digraph, Visitor,
1329 1328
                                            SetReachedMapTraits<T> > {
1330 1329
      typedef DfsVisit< Digraph, Visitor, SetReachedMapTraits<T> > Create;
1331 1330
    };
1332 1331
    ///@}
1333 1332

	
1334 1333
  public:
1335 1334

	
1336 1335
    /// \brief Constructor.
1337 1336
    ///
1338 1337
    /// Constructor.
1339 1338
    ///
1340 1339
    /// \param digraph The digraph the algorithm runs on.
1341 1340
    /// \param visitor The visitor object of the algorithm.
1342 1341
    DfsVisit(const Digraph& digraph, Visitor& visitor)
1343 1342
      : _digraph(&digraph), _visitor(&visitor),
1344 1343
        _reached(0), local_reached(false) {}
1345 1344

	
1346 1345
    /// \brief Destructor.
1347 1346
    ~DfsVisit() {
1348 1347
      if(local_reached) delete _reached;
1349 1348
    }
1350 1349

	
1351 1350
    /// \brief Sets the map that indicates which nodes are reached.
1352 1351
    ///
1353 1352
    /// Sets the map that indicates which nodes are reached.
1354
    /// If you don't use this function before calling \ref run(),
1355
    /// it will allocate one. The destructor deallocates this
1356
    /// automatically allocated map, of course.
1353
    /// If you don't use this function before calling \ref run(Node) "run()"
1354
    /// or \ref init(), an instance will be allocated automatically.
1355
    /// The destructor deallocates this automatically allocated map,
1356
    /// of course.
1357 1357
    /// \return <tt> (*this) </tt>
1358 1358
    DfsVisit &reachedMap(ReachedMap &m) {
1359 1359
      if(local_reached) {
1360 1360
        delete _reached;
1361 1361
        local_reached=false;
1362 1362
      }
1363 1363
      _reached = &m;
1364 1364
      return *this;
1365 1365
    }
1366 1366

	
1367 1367
  public:
1368 1368

	
1369
    /// \name Execution control
1370
    /// The simplest way to execute the algorithm is to use
1371
    /// one of the member functions called \ref lemon::DfsVisit::run()
1372
    /// "run()".
1373
    /// \n
1374
    /// If you need more control on the execution, first you must call
1375
    /// \ref lemon::DfsVisit::init() "init()", then you can add several
1376
    /// source nodes with \ref lemon::DfsVisit::addSource() "addSource()".
1377
    /// Finally \ref lemon::DfsVisit::start() "start()" will perform the
1378
    /// actual path computation.
1369
    /// \name Execution Control
1370
    /// The simplest way to execute the DFS algorithm is to use one of the
1371
    /// 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()
1374
    /// and perform the actual computation with \ref start().
1375
    /// This procedure can be repeated if there are nodes that have not
1376
    /// been reached.
1379 1377

	
1380 1378
    /// @{
1381 1379

	
1382 1380
    /// \brief Initializes the internal data structures.
1383 1381
    ///
1384 1382
    /// Initializes the internal data structures.
1385 1383
    void init() {
1386 1384
      create_maps();
1387 1385
      _stack.resize(countNodes(*_digraph));
1388 1386
      _stack_head = -1;
1389 1387
      for (NodeIt u(*_digraph) ; u != INVALID ; ++u) {
1390 1388
        _reached->set(u, false);
1391 1389
      }
1392 1390
    }
1393 1391

	
1394
    ///Adds a new source node.
1395

	
1396
    ///Adds a new source node to the set of nodes to be processed.
1392
    /// \brief Adds a new source node.
1397 1393
    ///
1398
    ///\pre The stack must be empty. (Otherwise the algorithm gives
1399
    ///false results.)
1394
    /// Adds a new source node to the set of nodes to be processed.
1400 1395
    ///
1401
    ///\warning Distances will be wrong (or at least strange) in case of
1402
    ///multiple sources.
1396
    /// \pre The stack must be empty. Otherwise the algorithm gives
1397
    /// wrong results. (One of the outgoing arcs of all the source nodes
1398
    /// except for the last one will not be visited and distances will
1399
    /// also be wrong.)
1403 1400
    void addSource(Node s)
1404 1401
    {
1405 1402
      LEMON_DEBUG(emptyQueue(), "The stack is not empty.");
1406 1403
      if(!(*_reached)[s]) {
1407 1404
          _reached->set(s,true);
1408 1405
          _visitor->start(s);
1409 1406
          _visitor->reach(s);
1410 1407
          Arc e;
1411 1408
          _digraph->firstOut(e, s);
1412 1409
          if (e != INVALID) {
1413 1410
            _stack[++_stack_head] = e;
1414 1411
          } else {
1415 1412
            _visitor->leave(s);
1416 1413
          }
1417 1414
        }
1418 1415
    }
1419 1416

	
1420 1417
    /// \brief Processes the next arc.
1421 1418
    ///
1422 1419
    /// Processes the next arc.
1423 1420
    ///
1424 1421
    /// \return The processed arc.
1425 1422
    ///
1426 1423
    /// \pre The stack must not be empty.
1427 1424
    Arc processNextArc() {
1428 1425
      Arc e = _stack[_stack_head];
1429 1426
      Node m = _digraph->target(e);
1430 1427
      if(!(*_reached)[m]) {
1431 1428
        _visitor->discover(e);
1432 1429
        _visitor->reach(m);
1433 1430
        _reached->set(m, true);
1434 1431
        _digraph->firstOut(_stack[++_stack_head], m);
1435 1432
      } else {
1436 1433
        _visitor->examine(e);
1437 1434
        m = _digraph->source(e);
1438 1435
        _digraph->nextOut(_stack[_stack_head]);
1439 1436
      }
1440 1437
      while (_stack_head>=0 && _stack[_stack_head] == INVALID) {
1441 1438
        _visitor->leave(m);
1442 1439
        --_stack_head;
1443 1440
        if (_stack_head >= 0) {
1444 1441
          _visitor->backtrack(_stack[_stack_head]);
1445 1442
          m = _digraph->source(_stack[_stack_head]);
1446 1443
          _digraph->nextOut(_stack[_stack_head]);
1447 1444
        } else {
1448 1445
          _visitor->stop(m);
1449 1446
        }
1450 1447
      }
1451 1448
      return e;
1452 1449
    }
1453 1450

	
1454 1451
    /// \brief Next arc to be processed.
1455 1452
    ///
1456 1453
    /// Next arc to be processed.
1457 1454
    ///
1458 1455
    /// \return The next arc to be processed or INVALID if the stack is
1459 1456
    /// empty.
1460 1457
    Arc nextArc() const {
1461 1458
      return _stack_head >= 0 ? _stack[_stack_head] : INVALID;
1462 1459
    }
1463 1460

	
1464 1461
    /// \brief Returns \c false if there are nodes
1465 1462
    /// to be processed.
1466 1463
    ///
1467 1464
    /// Returns \c false if there are nodes
1468 1465
    /// to be processed in the queue (stack).
1469 1466
    bool emptyQueue() const { return _stack_head < 0; }
1470 1467

	
1471 1468
    /// \brief Returns the number of the nodes to be processed.
1472 1469
    ///
1473 1470
    /// Returns the number of the nodes to be processed in the queue (stack).
1474 1471
    int queueSize() const { return _stack_head + 1; }
1475 1472

	
1476 1473
    /// \brief Executes the algorithm.
1477 1474
    ///
1478 1475
    /// Executes the algorithm.
1479 1476
    ///
1480 1477
    /// This method runs the %DFS algorithm from the root node
1481 1478
    /// in order to compute the %DFS path to each node.
1482 1479
    ///
1483 1480
    /// The algorithm computes
1484 1481
    /// - the %DFS tree,
1485 1482
    /// - the distance of each node from the root in the %DFS tree.
1486 1483
    ///
1487 1484
    /// \pre init() must be called and a root node should be
1488 1485
    /// added with addSource() before using this function.
1489 1486
    ///
1490 1487
    /// \note <tt>d.start()</tt> is just a shortcut of the following code.
1491 1488
    /// \code
1492 1489
    ///   while ( !d.emptyQueue() ) {
1493 1490
    ///     d.processNextArc();
1494 1491
    ///   }
1495 1492
    /// \endcode
1496 1493
    void start() {
1497 1494
      while ( !emptyQueue() ) processNextArc();
1498 1495
    }
1499 1496

	
1500 1497
    /// \brief Executes the algorithm until the given target node is reached.
1501 1498
    ///
1502 1499
    /// Executes the algorithm until the given target node is reached.
1503 1500
    ///
1504 1501
    /// This method runs the %DFS algorithm from the root node
1505 1502
    /// in order to compute the DFS path to \c t.
1506 1503
    ///
1507 1504
    /// The algorithm computes
1508 1505
    /// - the %DFS path to \c t,
1509 1506
    /// - the distance of \c t from the root in the %DFS tree.
1510 1507
    ///
1511 1508
    /// \pre init() must be called and a root node should be added
1512 1509
    /// with addSource() before using this function.
1513 1510
    void start(Node t) {
1514 1511
      while ( !emptyQueue() && _digraph->target(_stack[_stack_head]) != t )
1515 1512
        processNextArc();
1516 1513
    }
1517 1514

	
1518 1515
    /// \brief Executes the algorithm until a condition is met.
1519 1516
    ///
1520 1517
    /// Executes the algorithm until a condition is met.
1521 1518
    ///
1522 1519
    /// This method runs the %DFS algorithm from the root node
1523 1520
    /// until an arc \c a with <tt>am[a]</tt> true is found.
1524 1521
    ///
1525 1522
    /// \param am A \c bool (or convertible) arc map. The algorithm
1526 1523
    /// will stop when it reaches an arc \c a with <tt>am[a]</tt> true.
1527 1524
    ///
1528 1525
    /// \return The reached arc \c a with <tt>am[a]</tt> true or
1529 1526
    /// \c INVALID if no such arc was found.
1530 1527
    ///
1531 1528
    /// \pre init() must be called and a root node should be added
1532 1529
    /// with addSource() before using this function.
1533 1530
    ///
1534 1531
    /// \warning Contrary to \ref Bfs and \ref Dijkstra, \c am is an arc map,
1535 1532
    /// not a node map.
1536 1533
    template <typename AM>
1537 1534
    Arc start(const AM &am) {
1538 1535
      while ( !emptyQueue() && !am[_stack[_stack_head]] )
1539 1536
        processNextArc();
1540 1537
      return emptyQueue() ? INVALID : _stack[_stack_head];
1541 1538
    }
1542 1539

	
1543 1540
    /// \brief Runs the algorithm from the given source node.
1544 1541
    ///
1545 1542
    /// This method runs the %DFS algorithm from node \c s.
1546 1543
    /// in order to compute the DFS path to each node.
1547 1544
    ///
1548 1545
    /// The algorithm computes
1549 1546
    /// - the %DFS tree,
1550 1547
    /// - the distance of each node from the root in the %DFS tree.
1551 1548
    ///
1552 1549
    /// \note <tt>d.run(s)</tt> is just a shortcut of the following code.
1553 1550
    ///\code
1554 1551
    ///   d.init();
1555 1552
    ///   d.addSource(s);
1556 1553
    ///   d.start();
1557 1554
    ///\endcode
1558 1555
    void run(Node s) {
1559 1556
      init();
1560 1557
      addSource(s);
1561 1558
      start();
1562 1559
    }
1563 1560

	
1564 1561
    /// \brief Finds the %DFS path between \c s and \c t.
1565 1562

	
1566 1563
    /// This method runs the %DFS algorithm from node \c s
1567 1564
    /// in order to compute the DFS path to node \c t
1568 1565
    /// (it stops searching when \c t is processed).
1569 1566
    ///
1570 1567
    /// \return \c true if \c t is reachable form \c s.
1571 1568
    ///
1572 1569
    /// \note Apart from the return value, <tt>d.run(s,t)</tt> is
1573 1570
    /// just a shortcut of the following code.
1574 1571
    ///\code
1575 1572
    ///   d.init();
1576 1573
    ///   d.addSource(s);
1577 1574
    ///   d.start(t);
1578 1575
    ///\endcode
1579 1576
    bool run(Node s,Node t) {
1580 1577
      init();
1581 1578
      addSource(s);
1582 1579
      start(t);
1583 1580
      return reached(t);
1584 1581
    }
1585 1582

	
1586 1583
    /// \brief Runs the algorithm to visit all nodes in the digraph.
1587 1584

	
1588 1585
    /// This method runs the %DFS algorithm in order to
1589 1586
    /// compute the %DFS path to each node.
1590 1587
    ///
1591 1588
    /// The algorithm computes
1592
    /// - the %DFS tree,
1593
    /// - the distance of each node from the root in the %DFS tree.
1589
    /// - the %DFS tree (forest),
1590
    /// - the distance of each node from the root(s) in the %DFS tree.
1594 1591
    ///
1595 1592
    /// \note <tt>d.run()</tt> is just a shortcut of the following code.
1596 1593
    ///\code
1597 1594
    ///   d.init();
1598 1595
    ///   for (NodeIt n(digraph); n != INVALID; ++n) {
1599 1596
    ///     if (!d.reached(n)) {
1600 1597
    ///       d.addSource(n);
1601 1598
    ///       d.start();
1602 1599
    ///     }
1603 1600
    ///   }
1604 1601
    ///\endcode
1605 1602
    void run() {
1606 1603
      init();
1607 1604
      for (NodeIt it(*_digraph); it != INVALID; ++it) {
1608 1605
        if (!reached(it)) {
1609 1606
          addSource(it);
1610 1607
          start();
1611 1608
        }
1612 1609
      }
1613 1610
    }
1614 1611

	
1615 1612
    ///@}
1616 1613

	
1617 1614
    /// \name Query Functions
1618
    /// The result of the %DFS algorithm can be obtained using these
1615
    /// The results of the DFS algorithm can be obtained using these
1619 1616
    /// functions.\n
1620
    /// Either \ref lemon::DfsVisit::run() "run()" or
1621
    /// \ref lemon::DfsVisit::start() "start()" must be called before
1622
    /// using them.
1617
    /// Either \ref run(Node) "run()" or \ref start() should be called
1618
    /// before using them.
1619

	
1623 1620
    ///@{
1624 1621

	
1625
    /// \brief Checks if a node is reachable from the root(s).
1622
    /// \brief Checks if a node is reached from the root(s).
1626 1623
    ///
1627
    /// Returns \c true if \c v is reachable from the root(s).
1628
    /// \pre Either \ref run() or \ref start()
1624
    /// Returns \c true if \c v is reached from the root(s).
1625
    ///
1626
    /// \pre Either \ref run(Node) "run()" or \ref init()
1629 1627
    /// must be called before using this function.
1630 1628
    bool reached(Node v) { return (*_reached)[v]; }
1631 1629

	
1632 1630
    ///@}
1633 1631

	
1634 1632
  };
1635 1633

	
1636 1634
} //END OF NAMESPACE LEMON
1637 1635

	
1638 1636
#endif
Ignore white space 6 line context
1 1
/* -*- mode: C++; indent-tabs-mode: nil; -*-
2 2
 *
3 3
 * This file is a part of LEMON, a generic C++ optimization library.
4 4
 *
5 5
 * Copyright (C) 2003-2008
6 6
 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
7 7
 * (Egervary Research Group on Combinatorial Optimization, EGRES).
8 8
 *
9 9
 * Permission to use, modify and distribute this software is granted
10 10
 * provided that this copyright notice appears in all copies. For
11 11
 * precise terms see the accompanying LICENSE file.
12 12
 *
13 13
 * This software is provided "AS IS" with no warranty of any kind,
14 14
 * express or implied, and with no claim as to its suitability for any
15 15
 * purpose.
16 16
 *
17 17
 */
18 18

	
19 19
#ifndef LEMON_DIJKSTRA_H
20 20
#define LEMON_DIJKSTRA_H
21 21

	
22 22
///\ingroup shortest_path
23 23
///\file
24 24
///\brief Dijkstra algorithm.
25 25

	
26 26
#include <limits>
27 27
#include <lemon/list_graph.h>
28 28
#include <lemon/bin_heap.h>
29 29
#include <lemon/bits/path_dump.h>
30 30
#include <lemon/core.h>
31 31
#include <lemon/error.h>
32 32
#include <lemon/maps.h>
33 33
#include <lemon/path.h>
34 34

	
35 35
namespace lemon {
36 36

	
37 37
  /// \brief Default operation traits for the Dijkstra algorithm class.
38 38
  ///
39 39
  /// This operation traits class defines all computational operations and
40 40
  /// constants which are used in the Dijkstra algorithm.
41 41
  template <typename Value>
42 42
  struct DijkstraDefaultOperationTraits {
43 43
    /// \brief Gives back the zero value of the type.
44 44
    static Value zero() {
45 45
      return static_cast<Value>(0);
46 46
    }
47 47
    /// \brief Gives back the sum of the given two elements.
48 48
    static Value plus(const Value& left, const Value& right) {
49 49
      return left + right;
50 50
    }
51 51
    /// \brief Gives back true only if the first value is less than the second.
52 52
    static bool less(const Value& left, const Value& right) {
53 53
      return left < right;
54 54
    }
55 55
  };
56 56

	
57 57
  /// \brief Widest path operation traits for the Dijkstra algorithm class.
58 58
  ///
59 59
  /// This operation traits class defines all computational operations and
60 60
  /// constants which are used in the Dijkstra algorithm for widest path
61 61
  /// computation.
62 62
  ///
63 63
  /// \see DijkstraDefaultOperationTraits
64 64
  template <typename Value>
65 65
  struct DijkstraWidestPathOperationTraits {
66 66
    /// \brief Gives back the maximum value of the type.
67 67
    static Value zero() {
68 68
      return std::numeric_limits<Value>::max();
69 69
    }
70 70
    /// \brief Gives back the minimum of the given two elements.
71 71
    static Value plus(const Value& left, const Value& right) {
72 72
      return std::min(left, right);
73 73
    }
74 74
    /// \brief Gives back true only if the first value is less than the second.
75 75
    static bool less(const Value& left, const Value& right) {
76 76
      return left < right;
77 77
    }
78 78
  };
79 79

	
80 80
  ///Default traits class of Dijkstra class.
81 81

	
82 82
  ///Default traits class of Dijkstra class.
83 83
  ///\tparam GR The type of the digraph.
84 84
  ///\tparam LM The type of the length map.
85 85
  template<class GR, class LM>
86 86
  struct DijkstraDefaultTraits
87 87
  {
88 88
    ///The type of the digraph the algorithm runs on.
89 89
    typedef GR Digraph;
90 90

	
91 91
    ///The type of the map that stores the arc lengths.
92 92

	
93 93
    ///The type of the map that stores the arc lengths.
94 94
    ///It must meet the \ref concepts::ReadMap "ReadMap" concept.
95 95
    typedef LM LengthMap;
96 96
    ///The type of the length of the arcs.
97 97
    typedef typename LM::Value Value;
98 98

	
99 99
    /// Operation traits for Dijkstra algorithm.
100 100

	
101 101
    /// This class defines the operations that are used in the algorithm.
102 102
    /// \see DijkstraDefaultOperationTraits
103 103
    typedef DijkstraDefaultOperationTraits<Value> OperationTraits;
104 104

	
105 105
    /// The cross reference type used by the heap.
106 106

	
107 107
    /// The cross reference type used by the heap.
108 108
    /// Usually it is \c Digraph::NodeMap<int>.
109 109
    typedef typename Digraph::template NodeMap<int> HeapCrossRef;
110 110
    ///Instantiates a \ref HeapCrossRef.
111 111

	
112 112
    ///This function instantiates a \ref HeapCrossRef.
113 113
    /// \param g is the digraph, to which we would like to define the
114 114
    /// \ref HeapCrossRef.
115 115
    static HeapCrossRef *createHeapCrossRef(const Digraph &g)
116 116
    {
117 117
      return new HeapCrossRef(g);
118 118
    }
119 119

	
120 120
    ///The heap type used by the Dijkstra algorithm.
121 121

	
122 122
    ///The heap type used by the Dijkstra algorithm.
123 123
    ///
124 124
    ///\sa BinHeap
125 125
    ///\sa Dijkstra
126 126
    typedef BinHeap<typename LM::Value, HeapCrossRef, std::less<Value> > Heap;
127 127
    ///Instantiates a \ref Heap.
128 128

	
129 129
    ///This function instantiates a \ref Heap.
130 130
    static Heap *createHeap(HeapCrossRef& r)
131 131
    {
132 132
      return new Heap(r);
133 133
    }
134 134

	
135 135
    ///\brief The type of the map that stores the predecessor
136 136
    ///arcs of the shortest paths.
137 137
    ///
138 138
    ///The type of the map that stores the predecessor
139 139
    ///arcs of the shortest paths.
140 140
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
141 141
    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
142 142
    ///Instantiates a PredMap.
143 143

	
144 144
    ///This function instantiates a PredMap.
145 145
    ///\param g is the digraph, to which we would like to define the
146 146
    ///PredMap.
147 147
    static PredMap *createPredMap(const Digraph &g)
148 148
    {
149 149
      return new PredMap(g);
150 150
    }
151 151

	
152 152
    ///The type of the map that indicates which nodes are processed.
153 153

	
154 154
    ///The type of the map that indicates which nodes are processed.
155 155
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
156 156
    ///By default it is a NullMap.
157 157
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
158 158
    ///Instantiates a ProcessedMap.
159 159

	
160 160
    ///This function instantiates a ProcessedMap.
161 161
    ///\param g is the digraph, to which
162 162
    ///we would like to define the ProcessedMap
163 163
#ifdef DOXYGEN
164 164
    static ProcessedMap *createProcessedMap(const Digraph &g)
165 165
#else
166 166
    static ProcessedMap *createProcessedMap(const Digraph &)
167 167
#endif
168 168
    {
169 169
      return new ProcessedMap();
170 170
    }
171 171

	
172 172
    ///The type of the map that stores the distances of the nodes.
173 173

	
174 174
    ///The type of the map that stores the distances of the nodes.
175 175
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
176 176
    typedef typename Digraph::template NodeMap<typename LM::Value> DistMap;
177 177
    ///Instantiates a DistMap.
178 178

	
179 179
    ///This function instantiates a DistMap.
180 180
    ///\param g is the digraph, to which we would like to define
181 181
    ///the DistMap
182 182
    static DistMap *createDistMap(const Digraph &g)
183 183
    {
184 184
      return new DistMap(g);
185 185
    }
186 186
  };
187 187

	
188 188
  ///%Dijkstra algorithm class.
189 189

	
190 190
  /// \ingroup shortest_path
191 191
  ///This class provides an efficient implementation of the %Dijkstra algorithm.
192 192
  ///
193 193
  ///The arc lengths are passed to the algorithm using a
194 194
  ///\ref concepts::ReadMap "ReadMap",
195 195
  ///so it is easy to change it to any kind of length.
196 196
  ///The type of the length is determined by the
197 197
  ///\ref concepts::ReadMap::Value "Value" of the length map.
198 198
  ///It is also possible to change the underlying priority heap.
199 199
  ///
200 200
  ///There is also a \ref dijkstra() "function-type interface" for the
201 201
  ///%Dijkstra algorithm, which is convenient in the simplier cases and
202 202
  ///it can be used easier.
203 203
  ///
204 204
  ///\tparam GR The type of the digraph the algorithm runs on.
205
  ///The default value is \ref ListDigraph.
206
  ///The value of GR is not used directly by \ref Dijkstra, it is only
207
  ///passed to \ref DijkstraDefaultTraits.
208
  ///\tparam LM A readable arc map that determines the lengths of the
209
  ///arcs. It is read once for each arc, so the map may involve in
205
  ///The default type is \ref ListDigraph.
206
  ///\tparam LM A \ref concepts::ReadMap "readable" arc map that specifies
207
  ///the lengths of the arcs.
208
  ///It is read once for each arc, so the map may involve in
210 209
  ///relatively time consuming process to compute the arc lengths if
211 210
  ///it is necessary. The default map type is \ref
212
  ///concepts::Digraph::ArcMap "Digraph::ArcMap<int>".
213
  ///The value of LM is not used directly by \ref Dijkstra, it is only
214
  ///passed to \ref DijkstraDefaultTraits.
215
  ///\tparam TR Traits class to set various data types used by the algorithm.
216
  ///The default traits class is \ref DijkstraDefaultTraits
217
  ///"DijkstraDefaultTraits<GR,LM>". See \ref DijkstraDefaultTraits
218
  ///for the documentation of a Dijkstra traits class.
211
  ///concepts::Digraph::ArcMap "GR::ArcMap<int>".
219 212
#ifdef DOXYGEN
220 213
  template <typename GR, typename LM, typename TR>
221 214
#else
222 215
  template <typename GR=ListDigraph,
223 216
            typename LM=typename GR::template ArcMap<int>,
224 217
            typename TR=DijkstraDefaultTraits<GR,LM> >
225 218
#endif
226 219
  class Dijkstra {
227 220
  public:
228 221

	
229 222
    ///The type of the digraph the algorithm runs on.
230 223
    typedef typename TR::Digraph Digraph;
231 224

	
232 225
    ///The type of the length of the arcs.
233 226
    typedef typename TR::LengthMap::Value Value;
234 227
    ///The type of the map that stores the arc lengths.
235 228
    typedef typename TR::LengthMap LengthMap;
236 229
    ///\brief The type of the map that stores the predecessor arcs of the
237 230
    ///shortest paths.
238 231
    typedef typename TR::PredMap PredMap;
239 232
    ///The type of the map that stores the distances of the nodes.
240 233
    typedef typename TR::DistMap DistMap;
241 234
    ///The type of the map that indicates which nodes are processed.
242 235
    typedef typename TR::ProcessedMap ProcessedMap;
243 236
    ///The type of the paths.
244 237
    typedef PredMapPath<Digraph, PredMap> Path;
245 238
    ///The cross reference type used for the current heap.
246 239
    typedef typename TR::HeapCrossRef HeapCrossRef;
247 240
    ///The heap type used by the algorithm.
248 241
    typedef typename TR::Heap Heap;
249 242
    ///The operation traits class.
250 243
    typedef typename TR::OperationTraits OperationTraits;
251 244

	
252
    ///The traits class.
245
    ///The \ref DijkstraDefaultTraits "traits class" of the algorithm.
253 246
    typedef TR Traits;
254 247

	
255 248
  private:
256 249

	
257 250
    typedef typename Digraph::Node Node;
258 251
    typedef typename Digraph::NodeIt NodeIt;
259 252
    typedef typename Digraph::Arc Arc;
260 253
    typedef typename Digraph::OutArcIt OutArcIt;
261 254

	
262 255
    //Pointer to the underlying digraph.
263 256
    const Digraph *G;
264 257
    //Pointer to the length map.
265 258
    const LengthMap *length;
266 259
    //Pointer to the map of predecessors arcs.
267 260
    PredMap *_pred;
268 261
    //Indicates if _pred is locally allocated (true) or not.
269 262
    bool local_pred;
270 263
    //Pointer to the map of distances.
271 264
    DistMap *_dist;
272 265
    //Indicates if _dist is locally allocated (true) or not.
273 266
    bool local_dist;
274 267
    //Pointer to the map of processed status of the nodes.
275 268
    ProcessedMap *_processed;
276 269
    //Indicates if _processed is locally allocated (true) or not.
277 270
    bool local_processed;
278 271
    //Pointer to the heap cross references.
279 272
    HeapCrossRef *_heap_cross_ref;
280 273
    //Indicates if _heap_cross_ref is locally allocated (true) or not.
281 274
    bool local_heap_cross_ref;
282 275
    //Pointer to the heap.
283 276
    Heap *_heap;
284 277
    //Indicates if _heap is locally allocated (true) or not.
285 278
    bool local_heap;
286 279

	
287 280
    //Creates the maps if necessary.
288 281
    void create_maps()
289 282
    {
290 283
      if(!_pred) {
291 284
        local_pred = true;
292 285
        _pred = Traits::createPredMap(*G);
293 286
      }
294 287
      if(!_dist) {
295 288
        local_dist = true;
296 289
        _dist = Traits::createDistMap(*G);
297 290
      }
298 291
      if(!_processed) {
299 292
        local_processed = true;
300 293
        _processed = Traits::createProcessedMap(*G);
301 294
      }
302 295
      if (!_heap_cross_ref) {
303 296
        local_heap_cross_ref = true;
304 297
        _heap_cross_ref = Traits::createHeapCrossRef(*G);
305 298
      }
306 299
      if (!_heap) {
307 300
        local_heap = true;
308 301
        _heap = Traits::createHeap(*_heap_cross_ref);
309 302
      }
310 303
    }
311 304

	
312 305
  public:
313 306

	
314 307
    typedef Dijkstra Create;
315 308

	
316 309
    ///\name Named template parameters
317 310

	
318 311
    ///@{
319 312

	
320 313
    template <class T>
321 314
    struct SetPredMapTraits : public Traits {
322 315
      typedef T PredMap;
323 316
      static PredMap *createPredMap(const Digraph &)
324 317
      {
325 318
        LEMON_ASSERT(false, "PredMap is not initialized");
326 319
        return 0; // ignore warnings
327 320
      }
328 321
    };
329 322
    ///\brief \ref named-templ-param "Named parameter" for setting
330 323
    ///PredMap type.
331 324
    ///
332 325
    ///\ref named-templ-param "Named parameter" for setting
333 326
    ///PredMap type.
327
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
334 328
    template <class T>
335 329
    struct SetPredMap
336 330
      : public Dijkstra< Digraph, LengthMap, SetPredMapTraits<T> > {
337 331
      typedef Dijkstra< Digraph, LengthMap, SetPredMapTraits<T> > Create;
338 332
    };
339 333

	
340 334
    template <class T>
341 335
    struct SetDistMapTraits : public Traits {
342 336
      typedef T DistMap;
343 337
      static DistMap *createDistMap(const Digraph &)
344 338
      {
345 339
        LEMON_ASSERT(false, "DistMap is not initialized");
346 340
        return 0; // ignore warnings
347 341
      }
348 342
    };
349 343
    ///\brief \ref named-templ-param "Named parameter" for setting
350 344
    ///DistMap type.
351 345
    ///
352 346
    ///\ref named-templ-param "Named parameter" for setting
353 347
    ///DistMap type.
348
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
354 349
    template <class T>
355 350
    struct SetDistMap
356 351
      : public Dijkstra< Digraph, LengthMap, SetDistMapTraits<T> > {
357 352
      typedef Dijkstra< Digraph, LengthMap, SetDistMapTraits<T> > Create;
358 353
    };
359 354

	
360 355
    template <class T>
361 356
    struct SetProcessedMapTraits : public Traits {
362 357
      typedef T ProcessedMap;
363 358
      static ProcessedMap *createProcessedMap(const Digraph &)
364 359
      {
365 360
        LEMON_ASSERT(false, "ProcessedMap is not initialized");
366 361
        return 0; // ignore warnings
367 362
      }
368 363
    };
369 364
    ///\brief \ref named-templ-param "Named parameter" for setting
370 365
    ///ProcessedMap type.
371 366
    ///
372 367
    ///\ref named-templ-param "Named parameter" for setting
373 368
    ///ProcessedMap type.
369
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
374 370
    template <class T>
375 371
    struct SetProcessedMap
376 372
      : public Dijkstra< Digraph, LengthMap, SetProcessedMapTraits<T> > {
377 373
      typedef Dijkstra< Digraph, LengthMap, SetProcessedMapTraits<T> > Create;
378 374
    };
379 375

	
380 376
    struct SetStandardProcessedMapTraits : public Traits {
381 377
      typedef typename Digraph::template NodeMap<bool> ProcessedMap;
382 378
      static ProcessedMap *createProcessedMap(const Digraph &g)
383 379
      {
384 380
        return new ProcessedMap(g);
385 381
      }
386 382
    };
387 383
    ///\brief \ref named-templ-param "Named parameter" for setting
388 384
    ///ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
389 385
    ///
390 386
    ///\ref named-templ-param "Named parameter" for setting
391 387
    ///ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
392 388
    ///If you don't set it explicitly, it will be automatically allocated.
393 389
    struct SetStandardProcessedMap
394 390
      : public Dijkstra< Digraph, LengthMap, SetStandardProcessedMapTraits > {
395 391
      typedef Dijkstra< Digraph, LengthMap, SetStandardProcessedMapTraits >
396 392
      Create;
397 393
    };
398 394

	
399 395
    template <class H, class CR>
400 396
    struct SetHeapTraits : public Traits {
401 397
      typedef CR HeapCrossRef;
402 398
      typedef H Heap;
403 399
      static HeapCrossRef *createHeapCrossRef(const Digraph &) {
404 400
        LEMON_ASSERT(false, "HeapCrossRef is not initialized");
405 401
        return 0; // ignore warnings
406 402
      }
407 403
      static Heap *createHeap(HeapCrossRef &)
408 404
      {
409 405
        LEMON_ASSERT(false, "Heap is not initialized");
410 406
        return 0; // ignore warnings
411 407
      }
412 408
    };
413 409
    ///\brief \ref named-templ-param "Named parameter" for setting
414
    ///heap and cross reference type
410
    ///heap and cross reference types
415 411
    ///
416 412
    ///\ref named-templ-param "Named parameter" for setting heap and cross
417
    ///reference type.
413
    ///reference types. If this named parameter is used, then external
414
    ///heap and cross reference objects must be passed to the algorithm
415
    ///using the \ref heap() function before calling \ref run(Node) "run()"
416
    ///or \ref init().
417
    ///\sa SetStandardHeap
418 418
    template <class H, class CR = typename Digraph::template NodeMap<int> >
419 419
    struct SetHeap
420 420
      : public Dijkstra< Digraph, LengthMap, SetHeapTraits<H, CR> > {
421 421
      typedef Dijkstra< Digraph, LengthMap, SetHeapTraits<H, CR> > Create;
422 422
    };
423 423

	
424 424
    template <class H, class CR>
425 425
    struct SetStandardHeapTraits : public Traits {
426 426
      typedef CR HeapCrossRef;
427 427
      typedef H Heap;
428 428
      static HeapCrossRef *createHeapCrossRef(const Digraph &G) {
429 429
        return new HeapCrossRef(G);
430 430
      }
431 431
      static Heap *createHeap(HeapCrossRef &R)
432 432
      {
433 433
        return new Heap(R);
434 434
      }
435 435
    };
436 436
    ///\brief \ref named-templ-param "Named parameter" for setting
437
    ///heap and cross reference type with automatic allocation
437
    ///heap and cross reference types with automatic allocation
438 438
    ///
439 439
    ///\ref named-templ-param "Named parameter" for setting heap and cross
440
    ///reference type. It can allocate the heap and the cross reference
441
    ///object if the cross reference's constructor waits for the digraph as
442
    ///parameter and the heap's constructor waits for the cross reference.
440
    ///reference types with automatic allocation.
441
    ///They should have standard constructor interfaces to be able to
442
    ///automatically created by the algorithm (i.e. the digraph should be
443
    ///passed to the constructor of the cross reference and the cross
444
    ///reference should be passed to the constructor of the heap).
445
    ///However external heap and cross reference objects could also be
446
    ///passed to the algorithm using the \ref heap() function before
447
    ///calling \ref run(Node) "run()" or \ref init().
448
    ///\sa SetHeap
443 449
    template <class H, class CR = typename Digraph::template NodeMap<int> >
444 450
    struct SetStandardHeap
445 451
      : public Dijkstra< Digraph, LengthMap, SetStandardHeapTraits<H, CR> > {
446 452
      typedef Dijkstra< Digraph, LengthMap, SetStandardHeapTraits<H, CR> >
447 453
      Create;
448 454
    };
449 455

	
450 456
    template <class T>
451 457
    struct SetOperationTraitsTraits : public Traits {
452 458
      typedef T OperationTraits;
453 459
    };
454 460

	
455 461
    /// \brief \ref named-templ-param "Named parameter" for setting
456 462
    ///\c OperationTraits type
457 463
    ///
458 464
    ///\ref named-templ-param "Named parameter" for setting
459 465
    ///\ref OperationTraits type.
460 466
    template <class T>
461 467
    struct SetOperationTraits
462 468
      : public Dijkstra<Digraph, LengthMap, SetOperationTraitsTraits<T> > {
463 469
      typedef Dijkstra<Digraph, LengthMap, SetOperationTraitsTraits<T> >
464 470
      Create;
465 471
    };
466 472

	
467 473
    ///@}
468 474

	
469 475
  protected:
470 476

	
471 477
    Dijkstra() {}
472 478

	
473 479
  public:
474 480

	
475 481
    ///Constructor.
476 482

	
477 483
    ///Constructor.
478 484
    ///\param _g The digraph the algorithm runs on.
479 485
    ///\param _length The length map used by the algorithm.
480 486
    Dijkstra(const Digraph& _g, const LengthMap& _length) :
481 487
      G(&_g), length(&_length),
482 488
      _pred(NULL), local_pred(false),
483 489
      _dist(NULL), local_dist(false),
484 490
      _processed(NULL), local_processed(false),
485 491
      _heap_cross_ref(NULL), local_heap_cross_ref(false),
486 492
      _heap(NULL), local_heap(false)
487 493
    { }
488 494

	
489 495
    ///Destructor.
490 496
    ~Dijkstra()
491 497
    {
492 498
      if(local_pred) delete _pred;
493 499
      if(local_dist) delete _dist;
494 500
      if(local_processed) delete _processed;
495 501
      if(local_heap_cross_ref) delete _heap_cross_ref;
496 502
      if(local_heap) delete _heap;
497 503
    }
498 504

	
499 505
    ///Sets the length map.
500 506

	
501 507
    ///Sets the length map.
502 508
    ///\return <tt> (*this) </tt>
503 509
    Dijkstra &lengthMap(const LengthMap &m)
504 510
    {
505 511
      length = &m;
506 512
      return *this;
507 513
    }
508 514

	
509 515
    ///Sets the map that stores the predecessor arcs.
510 516

	
511 517
    ///Sets the map that stores the predecessor arcs.
512
    ///If you don't use this function before calling \ref run(),
513
    ///it will allocate one. The destructor deallocates this
514
    ///automatically allocated map, of course.
518
    ///If you don't use this function before calling \ref run(Node) "run()"
519
    ///or \ref init(), an instance will be allocated automatically.
520
    ///The destructor deallocates this automatically allocated map,
521
    ///of course.
515 522
    ///\return <tt> (*this) </tt>
516 523
    Dijkstra &predMap(PredMap &m)
517 524
    {
518 525
      if(local_pred) {
519 526
        delete _pred;
520 527
        local_pred=false;
521 528
      }
522 529
      _pred = &m;
523 530
      return *this;
524 531
    }
525 532

	
526 533
    ///Sets the map that indicates which nodes are processed.
527 534

	
528 535
    ///Sets the map that indicates which nodes are processed.
529
    ///If you don't use this function before calling \ref run(),
530
    ///it will allocate one. The destructor deallocates this
531
    ///automatically allocated map, of course.
536
    ///If you don't use this function before calling \ref run(Node) "run()"
537
    ///or \ref init(), an instance will be allocated automatically.
538
    ///The destructor deallocates this automatically allocated map,
539
    ///of course.
532 540
    ///\return <tt> (*this) </tt>
533 541
    Dijkstra &processedMap(ProcessedMap &m)
534 542
    {
535 543
      if(local_processed) {
536 544
        delete _processed;
537 545
        local_processed=false;
538 546
      }
539 547
      _processed = &m;
540 548
      return *this;
541 549
    }
542 550

	
543 551
    ///Sets the map that stores the distances of the nodes.
544 552

	
545 553
    ///Sets the map that stores the distances of the nodes calculated by the
546 554
    ///algorithm.
547
    ///If you don't use this function before calling \ref run(),
548
    ///it will allocate one. The destructor deallocates this
549
    ///automatically allocated map, of course.
555
    ///If you don't use this function before calling \ref run(Node) "run()"
556
    ///or \ref init(), an instance will be allocated automatically.
557
    ///The destructor deallocates this automatically allocated map,
558
    ///of course.
550 559
    ///\return <tt> (*this) </tt>
551 560
    Dijkstra &distMap(DistMap &m)
552 561
    {
553 562
      if(local_dist) {
554 563
        delete _dist;
555 564
        local_dist=false;
556 565
      }
557 566
      _dist = &m;
558 567
      return *this;
559 568
    }
560 569

	
561 570
    ///Sets the heap and the cross reference used by algorithm.
562 571

	
563 572
    ///Sets the heap and the cross reference used by algorithm.
564
    ///If you don't use this function before calling \ref run(),
565
    ///it will allocate one. The destructor deallocates this
566
    ///automatically allocated heap and cross reference, of course.
573
    ///If you don't use this function before calling \ref run(Node) "run()"
574
    ///or \ref init(), heap and cross reference instances will be
575
    ///allocated automatically.
576
    ///The destructor deallocates these automatically allocated objects,
577
    ///of course.
567 578
    ///\return <tt> (*this) </tt>
568 579
    Dijkstra &heap(Heap& hp, HeapCrossRef &cr)
569 580
    {
570 581
      if(local_heap_cross_ref) {
571 582
        delete _heap_cross_ref;
572 583
        local_heap_cross_ref=false;
573 584
      }
574 585
      _heap_cross_ref = &cr;
575 586
      if(local_heap) {
576 587
        delete _heap;
577 588
        local_heap=false;
578 589
      }
579 590
      _heap = &hp;
580 591
      return *this;
581 592
    }
582 593

	
583 594
  private:
584 595

	
585 596
    void finalizeNodeData(Node v,Value dst)
586 597
    {
587 598
      _processed->set(v,true);
588 599
      _dist->set(v, dst);
589 600
    }
590 601

	
591 602
  public:
592 603

	
593
    ///\name Execution control
594
    ///The simplest way to execute the algorithm is to use one of the
595
    ///member functions called \ref lemon::Dijkstra::run() "run()".
596
    ///\n
597
    ///If you need more control on the execution, first you must call
598
    ///\ref lemon::Dijkstra::init() "init()", then you can add several
599
    ///source nodes with \ref lemon::Dijkstra::addSource() "addSource()".
600
    ///Finally \ref lemon::Dijkstra::start() "start()" will perform the
601
    ///actual path computation.
604
    ///\name Execution Control
605
    ///The simplest way to execute the %Dijkstra algorithm is to use
606
    ///one of the member functions called \ref run(Node) "run()".\n
607
    ///If you need more control on the execution, first you have to call
608
    ///\ref init(), then you can add several source nodes with
609
    ///\ref addSource(). Finally the actual path computation can be
610
    ///performed with one of the \ref start() functions.
602 611

	
603 612
    ///@{
604 613

	
614
    ///\brief Initializes the internal data structures.
615
    ///
605 616
    ///Initializes the internal data structures.
606

	
607
    ///Initializes the internal data structures.
608
    ///
609 617
    void init()
610 618
    {
611 619
      create_maps();
612 620
      _heap->clear();
613 621
      for ( NodeIt u(*G) ; u!=INVALID ; ++u ) {
614 622
        _pred->set(u,INVALID);
615 623
        _processed->set(u,false);
616 624
        _heap_cross_ref->set(u,Heap::PRE_HEAP);
617 625
      }
618 626
    }
619 627

	
620 628
    ///Adds a new source node.
621 629

	
622 630
    ///Adds a new source node to the priority heap.
623 631
    ///The optional second parameter is the initial distance of the node.
624 632
    ///
625 633
    ///The function checks if the node has already been added to the heap and
626 634
    ///it is pushed to the heap only if either it was not in the heap
627 635
    ///or the shortest path found till then is shorter than \c dst.
628 636
    void addSource(Node s,Value dst=OperationTraits::zero())
629 637
    {
630 638
      if(_heap->state(s) != Heap::IN_HEAP) {
631 639
        _heap->push(s,dst);
632 640
      } else if(OperationTraits::less((*_heap)[s], dst)) {
633 641
        _heap->set(s,dst);
634 642
        _pred->set(s,INVALID);
635 643
      }
636 644
    }
637 645

	
638 646
    ///Processes the next node in the priority heap
639 647

	
640 648
    ///Processes the next node in the priority heap.
641 649
    ///
642 650
    ///\return The processed node.
643 651
    ///
644 652
    ///\warning The priority heap must not be empty.
645 653
    Node processNextNode()
646 654
    {
647 655
      Node v=_heap->top();
648 656
      Value oldvalue=_heap->prio();
649 657
      _heap->pop();
650 658
      finalizeNodeData(v,oldvalue);
651 659

	
652 660
      for(OutArcIt e(*G,v); e!=INVALID; ++e) {
653 661
        Node w=G->target(e);
654 662
        switch(_heap->state(w)) {
655 663
        case Heap::PRE_HEAP:
656 664
          _heap->push(w,OperationTraits::plus(oldvalue, (*length)[e]));
657 665
          _pred->set(w,e);
658 666
          break;
659 667
        case Heap::IN_HEAP:
660 668
          {
661 669
            Value newvalue = OperationTraits::plus(oldvalue, (*length)[e]);
662 670
            if ( OperationTraits::less(newvalue, (*_heap)[w]) ) {
663 671
              _heap->decrease(w, newvalue);
664 672
              _pred->set(w,e);
665 673
            }
666 674
          }
667 675
          break;
668 676
        case Heap::POST_HEAP:
669 677
          break;
670 678
        }
671 679
      }
672 680
      return v;
673 681
    }
674 682

	
675 683
    ///The next node to be processed.
676 684

	
677 685
    ///Returns the next node to be processed or \c INVALID if the
678 686
    ///priority heap is empty.
679 687
    Node nextNode() const
680 688
    {
681 689
      return !_heap->empty()?_heap->top():INVALID;
682 690
    }
683 691

	
684
    ///\brief Returns \c false if there are nodes
685
    ///to be processed.
686
    ///
687
    ///Returns \c false if there are nodes
688
    ///to be processed in the priority heap.
692
    ///Returns \c false if there are nodes to be processed.
693

	
694
    ///Returns \c false if there are nodes to be processed
695
    ///in the priority heap.
689 696
    bool emptyQueue() const { return _heap->empty(); }
690 697

	
691
    ///Returns the number of the nodes to be processed in the priority heap
698
    ///Returns the number of the nodes to be processed.
692 699

	
693
    ///Returns the number of the nodes to be processed in the priority heap.
694
    ///
700
    ///Returns the number of the nodes to be processed
701
    ///in the priority heap.
695 702
    int queueSize() const { return _heap->size(); }
696 703

	
697 704
    ///Executes the algorithm.
698 705

	
699 706
    ///Executes the algorithm.
700 707
    ///
701 708
    ///This method runs the %Dijkstra algorithm from the root node(s)
702 709
    ///in order to compute the shortest path to each node.
703 710
    ///
704 711
    ///The algorithm computes
705 712
    ///- the shortest path tree (forest),
706 713
    ///- the distance of each node from the root(s).
707 714
    ///
708 715
    ///\pre init() must be called and at least one root node should be
709 716
    ///added with addSource() before using this function.
710 717
    ///
711 718
    ///\note <tt>d.start()</tt> is just a shortcut of the following code.
712 719
    ///\code
713 720
    ///  while ( !d.emptyQueue() ) {
714 721
    ///    d.processNextNode();
715 722
    ///  }
716 723
    ///\endcode
717 724
    void start()
718 725
    {
719 726
      while ( !emptyQueue() ) processNextNode();
720 727
    }
721 728

	
722 729
    ///Executes the algorithm until the given target node is processed.
723 730

	
724 731
    ///Executes the algorithm until the given target node is processed.
725 732
    ///
726 733
    ///This method runs the %Dijkstra algorithm from the root node(s)
727 734
    ///in order to compute the shortest path to \c t.
728 735
    ///
729 736
    ///The algorithm computes
730 737
    ///- the shortest path to \c t,
731 738
    ///- the distance of \c t from the root(s).
732 739
    ///
733 740
    ///\pre init() must be called and at least one root node should be
734 741
    ///added with addSource() before using this function.
735 742
    void start(Node t)
736 743
    {
737 744
      while ( !_heap->empty() && _heap->top()!=t ) processNextNode();
738 745
      if ( !_heap->empty() ) {
739 746
        finalizeNodeData(_heap->top(),_heap->prio());
740 747
        _heap->pop();
741 748
      }
742 749
    }
743 750

	
744 751
    ///Executes the algorithm until a condition is met.
745 752

	
746 753
    ///Executes the algorithm until a condition is met.
747 754
    ///
748 755
    ///This method runs the %Dijkstra algorithm from the root node(s) in
749 756
    ///order to compute the shortest path to a node \c v with
750 757
    /// <tt>nm[v]</tt> true, if such a node can be found.
751 758
    ///
752 759
    ///\param nm A \c bool (or convertible) node map. The algorithm
753 760
    ///will stop when it reaches a node \c v with <tt>nm[v]</tt> true.
754 761
    ///
755 762
    ///\return The reached node \c v with <tt>nm[v]</tt> true or
756 763
    ///\c INVALID if no such node was found.
757 764
    ///
758 765
    ///\pre init() must be called and at least one root node should be
759 766
    ///added with addSource() before using this function.
760 767
    template<class NodeBoolMap>
761 768
    Node start(const NodeBoolMap &nm)
762 769
    {
763 770
      while ( !_heap->empty() && !nm[_heap->top()] ) processNextNode();
764 771
      if ( _heap->empty() ) return INVALID;
765 772
      finalizeNodeData(_heap->top(),_heap->prio());
766 773
      return _heap->top();
767 774
    }
768 775

	
769 776
    ///Runs the algorithm from the given source node.
770 777

	
771 778
    ///This method runs the %Dijkstra algorithm from node \c s
772 779
    ///in order to compute the shortest path to each node.
773 780
    ///
774 781
    ///The algorithm computes
775 782
    ///- the shortest path tree,
776 783
    ///- the distance of each node from the root.
777 784
    ///
778 785
    ///\note <tt>d.run(s)</tt> is just a shortcut of the following code.
779 786
    ///\code
780 787
    ///  d.init();
781 788
    ///  d.addSource(s);
782 789
    ///  d.start();
783 790
    ///\endcode
784 791
    void run(Node s) {
785 792
      init();
786 793
      addSource(s);
787 794
      start();
788 795
    }
789 796

	
790 797
    ///Finds the shortest path between \c s and \c t.
791 798

	
792 799
    ///This method runs the %Dijkstra algorithm from node \c s
793 800
    ///in order to compute the shortest path to node \c t
794 801
    ///(it stops searching when \c t is processed).
795 802
    ///
796 803
    ///\return \c true if \c t is reachable form \c s.
797 804
    ///
798 805
    ///\note Apart from the return value, <tt>d.run(s,t)</tt> is just a
799 806
    ///shortcut of the following code.
800 807
    ///\code
801 808
    ///  d.init();
802 809
    ///  d.addSource(s);
803 810
    ///  d.start(t);
804 811
    ///\endcode
805 812
    bool run(Node s,Node t) {
806 813
      init();
807 814
      addSource(s);
808 815
      start(t);
809 816
      return (*_heap_cross_ref)[t] == Heap::POST_HEAP;
810 817
    }
811 818

	
812 819
    ///@}
813 820

	
814 821
    ///\name Query Functions
815
    ///The result of the %Dijkstra algorithm can be obtained using these
822
    ///The results of the %Dijkstra algorithm can be obtained using these
816 823
    ///functions.\n
817
    ///Either \ref lemon::Dijkstra::run() "run()" or
818
    ///\ref lemon::Dijkstra::start() "start()" must be called before
819
    ///using them.
824
    ///Either \ref run(Node) "run()" or \ref start() should be called
825
    ///before using them.
820 826

	
821 827
    ///@{
822 828

	
823 829
    ///The shortest path to a node.
824 830

	
825 831
    ///Returns the shortest path to a node.
826 832
    ///
827
    ///\warning \c t should be reachable from the root(s).
833
    ///\warning \c t should be reached from the root(s).
828 834
    ///
829
    ///\pre Either \ref run() or \ref start() must be called before
830
    ///using this function.
835
    ///\pre Either \ref run(Node) "run()" or \ref init()
836
    ///must be called before using this function.
831 837
    Path path(Node t) const { return Path(*G, *_pred, t); }
832 838

	
833 839
    ///The distance of a node from the root(s).
834 840

	
835 841
    ///Returns the distance of a node from the root(s).
836 842
    ///
837
    ///\warning If node \c v is not reachable from the root(s), then
843
    ///\warning If node \c v is not reached from the root(s), then
838 844
    ///the return value of this function is undefined.
839 845
    ///
840
    ///\pre Either \ref run() or \ref start() must be called before
841
    ///using this function.
846
    ///\pre Either \ref run(Node) "run()" or \ref init()
847
    ///must be called before using this function.
842 848
    Value dist(Node v) const { return (*_dist)[v]; }
843 849

	
844 850
    ///Returns the 'previous arc' of the shortest path tree for a node.
845 851

	
846 852
    ///This function returns the 'previous arc' of the shortest path
847 853
    ///tree for the node \c v, i.e. it returns the last arc of a
848
    ///shortest path from the root(s) to \c v. It is \c INVALID if \c v
849
    ///is not reachable from the root(s) or if \c v is a root.
854
    ///shortest path from a root to \c v. It is \c INVALID if \c v
855
    ///is not reached from the root(s) or if \c v is a root.
850 856
    ///
851 857
    ///The shortest path tree used here is equal to the shortest path
852 858
    ///tree used in \ref predNode().
853 859
    ///
854
    ///\pre Either \ref run() or \ref start() must be called before
855
    ///using this function.
860
    ///\pre Either \ref run(Node) "run()" or \ref init()
861
    ///must be called before using this function.
856 862
    Arc predArc(Node v) const { return (*_pred)[v]; }
857 863

	
858 864
    ///Returns the 'previous node' of the shortest path tree for a node.
859 865

	
860 866
    ///This function returns the 'previous node' of the shortest path
861 867
    ///tree for the node \c v, i.e. it returns the last but one node
862
    ///from a shortest path from the root(s) to \c v. It is \c INVALID
863
    ///if \c v is not reachable from the root(s) or if \c v is a root.
868
    ///from a shortest path from a root to \c v. It is \c INVALID
869
    ///if \c v is not reached from the root(s) or if \c v is a root.
864 870
    ///
865 871
    ///The shortest path tree used here is equal to the shortest path
866 872
    ///tree used in \ref predArc().
867 873
    ///
868
    ///\pre Either \ref run() or \ref start() must be called before
869
    ///using this function.
874
    ///\pre Either \ref run(Node) "run()" or \ref init()
875
    ///must be called before using this function.
870 876
    Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID:
871 877
                                  G->source((*_pred)[v]); }
872 878

	
873 879
    ///\brief Returns a const reference to the node map that stores the
874 880
    ///distances of the nodes.
875 881
    ///
876 882
    ///Returns a const reference to the node map that stores the distances
877 883
    ///of the nodes calculated by the algorithm.
878 884
    ///
879
    ///\pre Either \ref run() or \ref init()
885
    ///\pre Either \ref run(Node) "run()" or \ref init()
880 886
    ///must be called before using this function.
881 887
    const DistMap &distMap() const { return *_dist;}
882 888

	
883 889
    ///\brief Returns a const reference to the node map that stores the
884 890
    ///predecessor arcs.
885 891
    ///
886 892
    ///Returns a const reference to the node map that stores the predecessor
887 893
    ///arcs, which form the shortest path tree.
888 894
    ///
889
    ///\pre Either \ref run() or \ref init()
895
    ///\pre Either \ref run(Node) "run()" or \ref init()
890 896
    ///must be called before using this function.
891 897
    const PredMap &predMap() const { return *_pred;}
892 898

	
893
    ///Checks if a node is reachable from the root(s).
899
    ///Checks if a node is reached from the root(s).
894 900

	
895
    ///Returns \c true if \c v is reachable from the root(s).
896
    ///\pre Either \ref run() or \ref start()
901
    ///Returns \c true if \c v is reached from the root(s).
902
    ///
903
    ///\pre Either \ref run(Node) "run()" or \ref init()
897 904
    ///must be called before using this function.
898 905
    bool reached(Node v) const { return (*_heap_cross_ref)[v] !=
899 906
                                        Heap::PRE_HEAP; }
900 907

	
901 908
    ///Checks if a node is processed.
902 909

	
903 910
    ///Returns \c true if \c v is processed, i.e. the shortest
904 911
    ///path to \c v has already found.
905
    ///\pre Either \ref run() or \ref init()
912
    ///
913
    ///\pre Either \ref run(Node) "run()" or \ref init()
906 914
    ///must be called before using this function.
907 915
    bool processed(Node v) const { return (*_heap_cross_ref)[v] ==
908 916
                                          Heap::POST_HEAP; }
909 917

	
910 918
    ///The current distance of a node from the root(s).
911 919

	
912 920
    ///Returns the current distance of a node from the root(s).
913 921
    ///It may be decreased in the following processes.
914
    ///\pre Either \ref run() or \ref init()
922
    ///
923
    ///\pre Either \ref run(Node) "run()" or \ref init()
915 924
    ///must be called before using this function and
916 925
    ///node \c v must be reached but not necessarily processed.
917 926
    Value currentDist(Node v) const {
918 927
      return processed(v) ? (*_dist)[v] : (*_heap)[v];
919 928
    }
920 929

	
921 930
    ///@}
922 931
  };
923 932

	
924 933

	
925 934
  ///Default traits class of dijkstra() function.
926 935

	
927 936
  ///Default traits class of dijkstra() function.
928 937
  ///\tparam GR The type of the digraph.
929 938
  ///\tparam LM The type of the length map.
930 939
  template<class GR, class LM>
931 940
  struct DijkstraWizardDefaultTraits
932 941
  {
933 942
    ///The type of the digraph the algorithm runs on.
934 943
    typedef GR Digraph;
935 944
    ///The type of the map that stores the arc lengths.
936 945

	
937 946
    ///The type of the map that stores the arc lengths.
938 947
    ///It must meet the \ref concepts::ReadMap "ReadMap" concept.
939 948
    typedef LM LengthMap;
940 949
    ///The type of the length of the arcs.
941 950
    typedef typename LM::Value Value;
942 951

	
943 952
    /// Operation traits for Dijkstra algorithm.
944 953

	
945 954
    /// This class defines the operations that are used in the algorithm.
946 955
    /// \see DijkstraDefaultOperationTraits
947 956
    typedef DijkstraDefaultOperationTraits<Value> OperationTraits;
948 957

	
949 958
    /// The cross reference type used by the heap.
950 959

	
951 960
    /// The cross reference type used by the heap.
952 961
    /// Usually it is \c Digraph::NodeMap<int>.
953 962
    typedef typename Digraph::template NodeMap<int> HeapCrossRef;
954 963
    ///Instantiates a \ref HeapCrossRef.
955 964

	
956 965
    ///This function instantiates a \ref HeapCrossRef.
957 966
    /// \param g is the digraph, to which we would like to define the
958 967
    /// HeapCrossRef.
959 968
    static HeapCrossRef *createHeapCrossRef(const Digraph &g)
960 969
    {
961 970
      return new HeapCrossRef(g);
962 971
    }
963 972

	
964 973
    ///The heap type used by the Dijkstra algorithm.
965 974

	
966 975
    ///The heap type used by the Dijkstra algorithm.
967 976
    ///
968 977
    ///\sa BinHeap
969 978
    ///\sa Dijkstra
970 979
    typedef BinHeap<Value, typename Digraph::template NodeMap<int>,
971 980
                    std::less<Value> > Heap;
972 981

	
973 982
    ///Instantiates a \ref Heap.
974 983

	
975 984
    ///This function instantiates a \ref Heap.
976 985
    /// \param r is the HeapCrossRef which is used.
977 986
    static Heap *createHeap(HeapCrossRef& r)
978 987
    {
979 988
      return new Heap(r);
980 989
    }
981 990

	
982 991
    ///\brief The type of the map that stores the predecessor
983 992
    ///arcs of the shortest paths.
984 993
    ///
985 994
    ///The type of the map that stores the predecessor
986 995
    ///arcs of the shortest paths.
987 996
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
988 997
    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
989 998
    ///Instantiates a PredMap.
990 999

	
991 1000
    ///This function instantiates a PredMap.
992 1001
    ///\param g is the digraph, to which we would like to define the
993 1002
    ///PredMap.
994 1003
    static PredMap *createPredMap(const Digraph &g)
995 1004
    {
996 1005
      return new PredMap(g);
997 1006
    }
998 1007

	
999 1008
    ///The type of the map that indicates which nodes are processed.
1000 1009

	
1001 1010
    ///The type of the map that indicates which nodes are processed.
1002 1011
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
1003 1012
    ///By default it is a NullMap.
1004 1013
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
1005 1014
    ///Instantiates a ProcessedMap.
1006 1015

	
1007 1016
    ///This function instantiates a ProcessedMap.
1008 1017
    ///\param g is the digraph, to which
1009 1018
    ///we would like to define the ProcessedMap.
1010 1019
#ifdef DOXYGEN
1011 1020
    static ProcessedMap *createProcessedMap(const Digraph &g)
1012 1021
#else
1013 1022
    static ProcessedMap *createProcessedMap(const Digraph &)
1014 1023
#endif
1015 1024
    {
1016 1025
      return new ProcessedMap();
1017 1026
    }
1018 1027

	
1019 1028
    ///The type of the map that stores the distances of the nodes.
1020 1029

	
1021 1030
    ///The type of the map that stores the distances of the nodes.
1022 1031
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
1023 1032
    typedef typename Digraph::template NodeMap<typename LM::Value> DistMap;
1024 1033
    ///Instantiates a DistMap.
1025 1034

	
1026 1035
    ///This function instantiates a DistMap.
1027 1036
    ///\param g is the digraph, to which we would like to define
1028 1037
    ///the DistMap
1029 1038
    static DistMap *createDistMap(const Digraph &g)
1030 1039
    {
1031 1040
      return new DistMap(g);
1032 1041
    }
1033 1042

	
1034 1043
    ///The type of the shortest paths.
1035 1044

	
1036 1045
    ///The type of the shortest paths.
1037 1046
    ///It must meet the \ref concepts::Path "Path" concept.
1038 1047
    typedef lemon::Path<Digraph> Path;
1039 1048
  };
1040 1049

	
1041 1050
  /// Default traits class used by DijkstraWizard
1042 1051

	
1043 1052
  /// To make it easier to use Dijkstra algorithm
1044 1053
  /// we have created a wizard class.
1045 1054
  /// This \ref DijkstraWizard class needs default traits,
1046 1055
  /// as well as the \ref Dijkstra class.
1047 1056
  /// The \ref DijkstraWizardBase is a class to be the default traits of the
1048 1057
  /// \ref DijkstraWizard class.
1049 1058
  template<class GR,class LM>
1050 1059
  class DijkstraWizardBase : public DijkstraWizardDefaultTraits<GR,LM>
1051 1060
  {
1052 1061
    typedef DijkstraWizardDefaultTraits<GR,LM> Base;
1053 1062
  protected:
1054 1063
    //The type of the nodes in the digraph.
1055 1064
    typedef typename Base::Digraph::Node Node;
1056 1065

	
1057 1066
    //Pointer to the digraph the algorithm runs on.
1058 1067
    void *_g;
1059 1068
    //Pointer to the length map.
1060 1069
    void *_length;
1061 1070
    //Pointer to the map of processed nodes.
1062 1071
    void *_processed;
1063 1072
    //Pointer to the map of predecessors arcs.
1064 1073
    void *_pred;
1065 1074
    //Pointer to the map of distances.
1066 1075
    void *_dist;
1067 1076
    //Pointer to the shortest path to the target node.
1068 1077
    void *_path;
1069 1078
    //Pointer to the distance of the target node.
1070 1079
    void *_di;
1071 1080

	
1072 1081
  public:
1073 1082
    /// Constructor.
1074 1083

	
1075 1084
    /// This constructor does not require parameters, therefore it initiates
1076 1085
    /// all of the attributes to \c 0.
1077 1086
    DijkstraWizardBase() : _g(0), _length(0), _processed(0), _pred(0),
1078 1087
                           _dist(0), _path(0), _di(0) {}
1079 1088

	
1080 1089
    /// Constructor.
1081 1090

	
1082 1091
    /// This constructor requires two parameters,
1083 1092
    /// others are initiated to \c 0.
1084 1093
    /// \param g The digraph the algorithm runs on.
1085 1094
    /// \param l The length map.
1086 1095
    DijkstraWizardBase(const GR &g,const LM &l) :
1087 1096
      _g(reinterpret_cast<void*>(const_cast<GR*>(&g))),
1088 1097
      _length(reinterpret_cast<void*>(const_cast<LM*>(&l))),
1089 1098
      _processed(0), _pred(0), _dist(0), _path(0), _di(0) {}
1090 1099

	
1091 1100
  };
1092 1101

	
1093 1102
  /// Auxiliary class for the function-type interface of Dijkstra algorithm.
1094 1103

	
1095 1104
  /// This auxiliary class is created to implement the
1096 1105
  /// \ref dijkstra() "function-type interface" of \ref Dijkstra algorithm.
1097
  /// It does not have own \ref run() method, it uses the functions
1098
  /// and features of the plain \ref Dijkstra.
1106
  /// It does not have own \ref run(Node) "run()" method, it uses the
1107
  /// functions and features of the plain \ref Dijkstra.
1099 1108
  ///
1100 1109
  /// This class should only be used through the \ref dijkstra() function,
1101 1110
  /// which makes it easier to use the algorithm.
1102 1111
  template<class TR>
1103 1112
  class DijkstraWizard : public TR
1104 1113
  {
1105 1114
    typedef TR Base;
1106 1115

	
1107 1116
    ///The type of the digraph the algorithm runs on.
1108 1117
    typedef typename TR::Digraph Digraph;
1109 1118

	
1110 1119
    typedef typename Digraph::Node Node;
1111 1120
    typedef typename Digraph::NodeIt NodeIt;
1112 1121
    typedef typename Digraph::Arc Arc;
1113 1122
    typedef typename Digraph::OutArcIt OutArcIt;
1114 1123

	
1115 1124
    ///The type of the map that stores the arc lengths.
1116 1125
    typedef typename TR::LengthMap LengthMap;
1117 1126
    ///The type of the length of the arcs.
1118 1127
    typedef typename LengthMap::Value Value;
1119 1128
    ///\brief The type of the map that stores the predecessor
1120 1129
    ///arcs of the shortest paths.
1121 1130
    typedef typename TR::PredMap PredMap;
1122 1131
    ///The type of the map that stores the distances of the nodes.
1123 1132
    typedef typename TR::DistMap DistMap;
1124 1133
    ///The type of the map that indicates which nodes are processed.
1125 1134
    typedef typename TR::ProcessedMap ProcessedMap;
1126 1135
    ///The type of the shortest paths
1127 1136
    typedef typename TR::Path Path;
1128 1137
    ///The heap type used by the dijkstra algorithm.
1129 1138
    typedef typename TR::Heap Heap;
1130 1139

	
1131 1140
  public:
1132 1141

	
1133 1142
    /// Constructor.
1134 1143
    DijkstraWizard() : TR() {}
1135 1144

	
1136 1145
    /// Constructor that requires parameters.
1137 1146

	
1138 1147
    /// Constructor that requires parameters.
1139 1148
    /// These parameters will be the default values for the traits class.
1140 1149
    /// \param g The digraph the algorithm runs on.
1141 1150
    /// \param l The length map.
1142 1151
    DijkstraWizard(const Digraph &g, const LengthMap &l) :
1143 1152
      TR(g,l) {}
1144 1153

	
1145 1154
    ///Copy constructor
1146 1155
    DijkstraWizard(const TR &b) : TR(b) {}
1147 1156

	
1148 1157
    ~DijkstraWizard() {}
1149 1158

	
1150 1159
    ///Runs Dijkstra algorithm from the given source node.
1151 1160

	
1152 1161
    ///This method runs %Dijkstra algorithm from the given source node
1153 1162
    ///in order to compute the shortest path to each node.
1154 1163
    void run(Node s)
1155 1164
    {
1156 1165
      Dijkstra<Digraph,LengthMap,TR>
1157 1166
        dijk(*reinterpret_cast<const Digraph*>(Base::_g),
1158 1167
             *reinterpret_cast<const LengthMap*>(Base::_length));
1159 1168
      if (Base::_pred)
1160 1169
        dijk.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
1161 1170
      if (Base::_dist)
1162 1171
        dijk.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
1163 1172
      if (Base::_processed)
1164 1173
        dijk.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed));
1165 1174
      dijk.run(s);
1166 1175
    }
1167 1176

	
1168 1177
    ///Finds the shortest path between \c s and \c t.
1169 1178

	
1170 1179
    ///This method runs the %Dijkstra algorithm from node \c s
1171 1180
    ///in order to compute the shortest path to node \c t
1172 1181
    ///(it stops searching when \c t is processed).
1173 1182
    ///
1174 1183
    ///\return \c true if \c t is reachable form \c s.
1175 1184
    bool run(Node s, Node t)
1176 1185
    {
1177 1186
      Dijkstra<Digraph,LengthMap,TR>
1178 1187
        dijk(*reinterpret_cast<const Digraph*>(Base::_g),
1179 1188
             *reinterpret_cast<const LengthMap*>(Base::_length));
1180 1189
      if (Base::_pred)
1181 1190
        dijk.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
1182 1191
      if (Base::_dist)
1183 1192
        dijk.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
1184 1193
      if (Base::_processed)
1185 1194
        dijk.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed));
1186 1195
      dijk.run(s,t);
1187 1196
      if (Base::_path)
1188 1197
        *reinterpret_cast<Path*>(Base::_path) = dijk.path(t);
1189 1198
      if (Base::_di)
1190 1199
        *reinterpret_cast<Value*>(Base::_di) = dijk.dist(t);
1191 1200
      return dijk.reached(t);
1192 1201
    }
1193 1202

	
1194 1203
    template<class T>
1195 1204
    struct SetPredMapBase : public Base {
1196 1205
      typedef T PredMap;
1197 1206
      static PredMap *createPredMap(const Digraph &) { return 0; };
1198 1207
      SetPredMapBase(const TR &b) : TR(b) {}
1199 1208
    };
1200 1209
    ///\brief \ref named-func-param "Named parameter"
1201 1210
    ///for setting PredMap object.
1202 1211
    ///
1203 1212
    ///\ref named-func-param "Named parameter"
1204 1213
    ///for setting PredMap object.
1205 1214
    template<class T>
1206 1215
    DijkstraWizard<SetPredMapBase<T> > predMap(const T &t)
1207 1216
    {
1208 1217
      Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t));
1209 1218
      return DijkstraWizard<SetPredMapBase<T> >(*this);
1210 1219
    }
1211 1220

	
1212 1221
    template<class T>
1213 1222
    struct SetDistMapBase : public Base {
1214 1223
      typedef T DistMap;
1215 1224
      static DistMap *createDistMap(const Digraph &) { return 0; };
1216 1225
      SetDistMapBase(const TR &b) : TR(b) {}
1217 1226
    };
1218 1227
    ///\brief \ref named-func-param "Named parameter"
1219 1228
    ///for setting DistMap object.
1220 1229
    ///
1221 1230
    ///\ref named-func-param "Named parameter"
1222 1231
    ///for setting DistMap object.
1223 1232
    template<class T>
1224 1233
    DijkstraWizard<SetDistMapBase<T> > distMap(const T &t)
1225 1234
    {
1226 1235
      Base::_dist=reinterpret_cast<void*>(const_cast<T*>(&t));
1227 1236
      return DijkstraWizard<SetDistMapBase<T> >(*this);
1228 1237
    }
1229 1238

	
1230 1239
    template<class T>
1231 1240
    struct SetProcessedMapBase : public Base {
1232 1241
      typedef T ProcessedMap;
1233 1242
      static ProcessedMap *createProcessedMap(const Digraph &) { return 0; };
1234 1243
      SetProcessedMapBase(const TR &b) : TR(b) {}
1235 1244
    };
1236 1245
    ///\brief \ref named-func-param "Named parameter"
1237 1246
    ///for setting ProcessedMap object.
1238 1247
    ///
1239 1248
    /// \ref named-func-param "Named parameter"
1240 1249
    ///for setting ProcessedMap object.
1241 1250
    template<class T>
1242 1251
    DijkstraWizard<SetProcessedMapBase<T> > processedMap(const T &t)
1243 1252
    {
1244 1253
      Base::_processed=reinterpret_cast<void*>(const_cast<T*>(&t));
1245 1254
      return DijkstraWizard<SetProcessedMapBase<T> >(*this);
1246 1255
    }
1247 1256

	
1248 1257
    template<class T>
1249 1258
    struct SetPathBase : public Base {
1250 1259
      typedef T Path;
1251 1260
      SetPathBase(const TR &b) : TR(b) {}
1252 1261
    };
1253 1262
    ///\brief \ref named-func-param "Named parameter"
1254 1263
    ///for getting the shortest path to the target node.
1255 1264
    ///
1256 1265
    ///\ref named-func-param "Named parameter"
1257 1266
    ///for getting the shortest path to the target node.
1258 1267
    template<class T>
1259 1268
    DijkstraWizard<SetPathBase<T> > path(const T &t)
1260 1269
    {
1261 1270
      Base::_path=reinterpret_cast<void*>(const_cast<T*>(&t));
1262 1271
      return DijkstraWizard<SetPathBase<T> >(*this);
1263 1272
    }
1264 1273

	
1265 1274
    ///\brief \ref named-func-param "Named parameter"
1266 1275
    ///for getting the distance of the target node.
1267 1276
    ///
1268 1277
    ///\ref named-func-param "Named parameter"
1269 1278
    ///for getting the distance of the target node.
1270 1279
    DijkstraWizard dist(const Value &d)
1271 1280
    {
1272 1281
      Base::_di=reinterpret_cast<void*>(const_cast<Value*>(&d));
1273 1282
      return *this;
1274 1283
    }
1275 1284

	
1276 1285
  };
1277 1286

	
1278 1287
  ///Function-type interface for Dijkstra algorithm.
1279 1288

	
1280 1289
  /// \ingroup shortest_path
1281 1290
  ///Function-type interface for Dijkstra algorithm.
1282 1291
  ///
1283 1292
  ///This function also has several \ref named-func-param "named parameters",
1284 1293
  ///they are declared as the members of class \ref DijkstraWizard.
1285 1294
  ///The following examples show how to use these parameters.
1286 1295
  ///\code
1287 1296
  ///  // Compute shortest path from node s to each node
1288 1297
  ///  dijkstra(g,length).predMap(preds).distMap(dists).run(s);
1289 1298
  ///
1290 1299
  ///  // Compute shortest path from s to t
1291 1300
  ///  bool reached = dijkstra(g,length).path(p).dist(d).run(s,t);
1292 1301
  ///\endcode
1293
  ///\warning Don't forget to put the \ref DijkstraWizard::run() "run()"
1302
  ///\warning Don't forget to put the \ref DijkstraWizard::run(Node) "run()"
1294 1303
  ///to the end of the parameter list.
1295 1304
  ///\sa DijkstraWizard
1296 1305
  ///\sa Dijkstra
1297 1306
  template<class GR, class LM>
1298 1307
  DijkstraWizard<DijkstraWizardBase<GR,LM> >
1299 1308
  dijkstra(const GR &digraph, const LM &length)
1300 1309
  {
1301 1310
    return DijkstraWizard<DijkstraWizardBase<GR,LM> >(digraph,length);
1302 1311
  }
1303 1312

	
1304 1313
} //END OF NAMESPACE LEMON
1305 1314

	
1306 1315
#endif
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