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Ignore white space 6 line context
... ...
@@ -69,25 +69,25 @@
69 69

	
70 70
The dual solution of the minimum cost flow problem is represented by
71 71
node potentials \f$\pi: V\rightarrow\mathbf{R}\f$.
72 72
An \f$f: A\rightarrow\mathbf{R}\f$ primal feasible solution is optimal
73 73
if and only if for some \f$\pi: V\rightarrow\mathbf{R}\f$ node potentials
74 74
the following \e complementary \e slackness optimality conditions hold.
75 75

	
76 76
 - For all \f$uv\in A\f$ arcs:
77 77
   - if \f$cost^\pi(uv)>0\f$, then \f$f(uv)=lower(uv)\f$;
78 78
   - if \f$lower(uv)<f(uv)<upper(uv)\f$, then \f$cost^\pi(uv)=0\f$;
79 79
   - if \f$cost^\pi(uv)<0\f$, then \f$f(uv)=upper(uv)\f$.
80 80
 - For all \f$u\in V\f$ nodes:
81
   - \f$\pi(u)<=0\f$;
81
   - \f$\pi(u)\leq 0\f$;
82 82
   - if \f$\sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) \neq sup(u)\f$,
83 83
     then \f$\pi(u)=0\f$.
84 84
 
85 85
Here \f$cost^\pi(uv)\f$ denotes the \e reduced \e cost of the arc
86 86
\f$uv\in A\f$ with respect to the potential function \f$\pi\f$, i.e.
87 87
\f[ cost^\pi(uv) = cost(uv) + \pi(u) - \pi(v).\f]
88 88

	
89 89
All algorithms provide dual solution (node potentials), as well,
90 90
if an optimal flow is found.
91 91

	
92 92

	
93 93
\section mcf_eq Equality Form
... ...
@@ -136,18 +136,18 @@
136 136
Note that the optimality conditions for this supply constraint type are
137 137
slightly differ from the conditions that are discussed for the GEQ form,
138 138
namely the potentials have to be non-negative instead of non-positive.
139 139
An \f$f: A\rightarrow\mathbf{R}\f$ feasible solution of this problem
140 140
is optimal if and only if for some \f$\pi: V\rightarrow\mathbf{R}\f$
141 141
node potentials the following conditions hold.
142 142

	
143 143
 - For all \f$uv\in A\f$ arcs:
144 144
   - if \f$cost^\pi(uv)>0\f$, then \f$f(uv)=lower(uv)\f$;
145 145
   - if \f$lower(uv)<f(uv)<upper(uv)\f$, then \f$cost^\pi(uv)=0\f$;
146 146
   - if \f$cost^\pi(uv)<0\f$, then \f$f(uv)=upper(uv)\f$.
147 147
 - For all \f$u\in V\f$ nodes:
148
   - \f$\pi(u)>=0\f$;
148
   - \f$\pi(u)\geq 0\f$;
149 149
   - if \f$\sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) \neq sup(u)\f$,
150 150
     then \f$\pi(u)=0\f$.
151 151

	
152 152
*/
153 153
}
Ignore white space 6 line context
... ...
@@ -291,25 +291,25 @@
291 291
    };
292 292

	
293 293
    template <class T>
294 294
    struct SetOperationTraitsTraits : public Traits {
295 295
      typedef T OperationTraits;
296 296
    };
297 297
    
298 298
    /// \brief \ref named-templ-param "Named parameter" for setting 
299 299
    /// \c OperationTraits type.
300 300
    ///
301 301
    /// \ref named-templ-param "Named parameter" for setting
302 302
    /// \c OperationTraits type.
303
    /// For more information see \ref BellmanFordDefaultOperationTraits.
303
    /// For more information, see \ref BellmanFordDefaultOperationTraits.
304 304
    template <class T>
305 305
    struct SetOperationTraits
306 306
      : public BellmanFord< Digraph, LengthMap, SetOperationTraitsTraits<T> > {
307 307
      typedef BellmanFord< Digraph, LengthMap, SetOperationTraitsTraits<T> >
308 308
      Create;
309 309
    };
310 310
    
311 311
    ///@}
312 312

	
313 313
  protected:
314 314
    
315 315
    BellmanFord() {}
... ...
@@ -709,40 +709,40 @@
709 709
    /// using this function.
710 710
    Value dist(Node v) const { return (*_dist)[v]; }
711 711

	
712 712
    /// \brief Returns the 'previous arc' of the shortest path tree for
713 713
    /// the given node.
714 714
    ///
715 715
    /// This function returns the 'previous arc' of the shortest path
716 716
    /// tree for node \c v, i.e. it returns the last arc of a
717 717
    /// shortest path from a root to \c v. It is \c INVALID if \c v
718 718
    /// is not reached from the root(s) or if \c v is a root.
719 719
    ///
720 720
    /// The shortest path tree used here is equal to the shortest path
721
    /// tree used in \ref predNode() and \predMap().
721
    /// tree used in \ref predNode() and \ref predMap().
722 722
    ///
723 723
    /// \pre Either \ref run() or \ref init() must be called before
724 724
    /// using this function.
725 725
    Arc predArc(Node v) const { return (*_pred)[v]; }
726 726

	
727 727
    /// \brief Returns the 'previous node' of the shortest path tree for
728 728
    /// the given node.
729 729
    ///
730 730
    /// This function returns the 'previous node' of the shortest path
731 731
    /// tree for node \c v, i.e. it returns the last but one node of
732 732
    /// a shortest path from a root to \c v. It is \c INVALID if \c v
733 733
    /// is not reached from the root(s) or if \c v is a root.
734 734
    ///
735 735
    /// The shortest path tree used here is equal to the shortest path
736
    /// tree used in \ref predArc() and \predMap().
736
    /// tree used in \ref predArc() and \ref predMap().
737 737
    ///
738 738
    /// \pre Either \ref run() or \ref init() must be called before
739 739
    /// using this function.
740 740
    Node predNode(Node v) const { 
741 741
      return (*_pred)[v] == INVALID ? INVALID : _gr->source((*_pred)[v]); 
742 742
    }
743 743
    
744 744
    /// \brief Returns a const reference to the node map that stores the
745 745
    /// distances of the nodes.
746 746
    ///
747 747
    /// Returns a const reference to the node map that stores the distances
748 748
    /// of the nodes calculated by the algorithm.
Ignore white space 6 line context
... ...
@@ -54,25 +54,25 @@
54 54
    ///This function instantiates a \ref PredMap.
55 55
    ///\param g is the digraph, to which we would like to define the
56 56
    ///\ref 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 conform to the \ref concepts::WriteMap "WriteMap" concept.
66
    ///By default it is a NullMap.
66
    ///By default, it is a NullMap.
67 67
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
68 68
    ///Instantiates a \c ProcessedMap.
69 69

	
70 70
    ///This function instantiates a \ref ProcessedMap.
71 71
    ///\param g is the digraph, to which
72 72
    ///we would like to define the \ref ProcessedMap
73 73
#ifdef DOXYGEN
74 74
    static ProcessedMap *createProcessedMap(const Digraph &g)
75 75
#else
76 76
    static ProcessedMap *createProcessedMap(const Digraph &)
77 77
#endif
78 78
    {
... ...
@@ -839,25 +839,25 @@
839 839
    ///This function instantiates a PredMap.
840 840
    ///\param g is the digraph, to which we would like to define the
841 841
    ///PredMap.
842 842
    static PredMap *createPredMap(const Digraph &g)
843 843
    {
844 844
      return new PredMap(g);
845 845
    }
846 846

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

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

	
855 855
    ///This function instantiates a ProcessedMap.
856 856
    ///\param g is the digraph, to which
857 857
    ///we would like to define the ProcessedMap.
858 858
#ifdef DOXYGEN
859 859
    static ProcessedMap *createProcessedMap(const Digraph &g)
860 860
#else
861 861
    static ProcessedMap *createProcessedMap(const Digraph &)
862 862
#endif
863 863
    {
Ignore white space 6 line context
... ...
@@ -297,25 +297,25 @@
297 297
        return new Elevator(digraph, max_level);
298 298
      }
299 299
    };
300 300

	
301 301
    /// \brief \ref named-templ-param "Named parameter" for setting
302 302
    /// Elevator type with automatic allocation
303 303
    ///
304 304
    /// \ref named-templ-param "Named parameter" for setting Elevator
305 305
    /// type with automatic allocation.
306 306
    /// The Elevator should have standard constructor interface to be
307 307
    /// able to automatically created by the algorithm (i.e. the
308 308
    /// digraph and the maximum level should be passed to it).
309
    /// However an external elevator object could also be passed to the
309
    /// However, an external elevator object could also be passed to the
310 310
    /// algorithm with the \ref elevator(Elevator&) "elevator()" function
311 311
    /// before calling \ref run() or \ref init().
312 312
    /// \sa SetElevator
313 313
    template <typename T>
314 314
    struct SetStandardElevator
315 315
      : public Circulation<Digraph, LowerMap, UpperMap, SupplyMap,
316 316
                       SetStandardElevatorTraits<T> > {
317 317
      typedef Circulation<Digraph, LowerMap, UpperMap, SupplyMap,
318 318
                      SetStandardElevatorTraits<T> > Create;
319 319
    };
320 320

	
321 321
    /// @}
Ignore white space 6 line context
... ...
@@ -98,25 +98,25 @@
98 98

	
99 99
        /// Artificial ordering operator.
100 100
        ///
101 101
        /// \note This operator only has to define some strict ordering of
102 102
        /// the nodes; this order has nothing to do with the iteration
103 103
        /// ordering of the nodes.
104 104
        bool operator<(Node) const { return false; }
105 105
      };
106 106

	
107 107
      /// Iterator class for the nodes.
108 108

	
109 109
      /// This iterator goes through each node of the digraph.
110
      /// Its usage is quite simple, for example you can count the number
110
      /// Its usage is quite simple, for example, you can count the number
111 111
      /// of nodes in a digraph \c g of type \c %Digraph like this:
112 112
      ///\code
113 113
      /// int count=0;
114 114
      /// for (Digraph::NodeIt n(g); n!=INVALID; ++n) ++count;
115 115
      ///\endcode
116 116
      class NodeIt : public Node {
117 117
      public:
118 118
        /// Default constructor
119 119

	
120 120
        /// Default constructor.
121 121
        /// \warning It sets the iterator to an undefined value.
122 122
        NodeIt() { }
... ...
@@ -187,25 +187,25 @@
187 187
        /// Artificial ordering operator.
188 188
        ///
189 189
        /// \note This operator only has to define some strict ordering of
190 190
        /// the arcs; this order has nothing to do with the iteration
191 191
        /// ordering of the arcs.
192 192
        bool operator<(Arc) const { return false; }
193 193
      };
194 194

	
195 195
      /// Iterator class for the outgoing arcs of a node.
196 196

	
197 197
      /// This iterator goes trough the \e outgoing arcs of a certain node
198 198
      /// of a digraph.
199
      /// Its usage is quite simple, for example you can count the number
199
      /// Its usage is quite simple, for example, you can count the number
200 200
      /// of outgoing arcs of a node \c n
201 201
      /// in a digraph \c g of type \c %Digraph as follows.
202 202
      ///\code
203 203
      /// int count=0;
204 204
      /// for (Digraph::OutArcIt a(g, n); a!=INVALID; ++a) ++count;
205 205
      ///\endcode
206 206
      class OutArcIt : public Arc {
207 207
      public:
208 208
        /// Default constructor
209 209

	
210 210
        /// Default constructor.
211 211
        /// \warning It sets the iterator to an undefined value.
... ...
@@ -232,25 +232,25 @@
232 232
        OutArcIt(const Digraph&, const Arc&) { }
233 233
        /// Next outgoing arc
234 234

	
235 235
        /// Assign the iterator to the next
236 236
        /// outgoing arc of the corresponding node.
237 237
        OutArcIt& operator++() { return *this; }
238 238
      };
239 239

	
240 240
      /// Iterator class for the incoming arcs of a node.
241 241

	
242 242
      /// This iterator goes trough the \e incoming arcs of a certain node
243 243
      /// of a digraph.
244
      /// Its usage is quite simple, for example you can count the number
244
      /// Its usage is quite simple, for example, you can count the number
245 245
      /// of incoming arcs of a node \c n
246 246
      /// in a digraph \c g of type \c %Digraph as follows.
247 247
      ///\code
248 248
      /// int count=0;
249 249
      /// for(Digraph::InArcIt a(g, n); a!=INVALID; ++a) ++count;
250 250
      ///\endcode
251 251
      class InArcIt : public Arc {
252 252
      public:
253 253
        /// Default constructor
254 254

	
255 255
        /// Default constructor.
256 256
        /// \warning It sets the iterator to an undefined value.
... ...
@@ -276,25 +276,25 @@
276 276
        ///
277 277
        InArcIt(const Digraph&, const Arc&) { }
278 278
        /// Next incoming arc
279 279

	
280 280
        /// Assign the iterator to the next
281 281
        /// incoming arc of the corresponding node.
282 282
        InArcIt& operator++() { return *this; }
283 283
      };
284 284

	
285 285
      /// Iterator class for the arcs.
286 286

	
287 287
      /// This iterator goes through each arc of the digraph.
288
      /// Its usage is quite simple, for example you can count the number
288
      /// Its usage is quite simple, for example, you can count the number
289 289
      /// of arcs in a digraph \c g of type \c %Digraph as follows:
290 290
      ///\code
291 291
      /// int count=0;
292 292
      /// for(Digraph::ArcIt a(g); a!=INVALID; ++a) ++count;
293 293
      ///\endcode
294 294
      class ArcIt : public Arc {
295 295
      public:
296 296
        /// Default constructor
297 297

	
298 298
        /// Default constructor.
299 299
        /// \warning It sets the iterator to an undefined value.
300 300
        ArcIt() { }
Ignore white space 24 line context
... ...
@@ -131,25 +131,25 @@
131 131
        /// Artificial ordering operator.
132 132
        ///
133 133
        /// \note This operator only has to define some strict ordering of
134 134
        /// the items; this order has nothing to do with the iteration
135 135
        /// ordering of the items.
136 136
        bool operator<(Node) const { return false; }
137 137

	
138 138
      };
139 139

	
140 140
      /// Iterator class for the nodes.
141 141

	
142 142
      /// This iterator goes through each node of the graph.
143
      /// Its usage is quite simple, for example you can count the number
143
      /// Its usage is quite simple, for example, you can count the number
144 144
      /// of nodes in a graph \c g of type \c %Graph like this:
145 145
      ///\code
146 146
      /// int count=0;
147 147
      /// for (Graph::NodeIt n(g); n!=INVALID; ++n) ++count;
148 148
      ///\endcode
149 149
      class NodeIt : public Node {
150 150
      public:
151 151
        /// Default constructor
152 152

	
153 153
        /// Default constructor.
154 154
        /// \warning It sets the iterator to an undefined value.
155 155
        NodeIt() { }
... ...
@@ -219,25 +219,25 @@
219 219

	
220 220
        /// Artificial ordering operator.
221 221
        ///
222 222
        /// \note This operator only has to define some strict ordering of
223 223
        /// the edges; this order has nothing to do with the iteration
224 224
        /// ordering of the edges.
225 225
        bool operator<(Edge) const { return false; }
226 226
      };
227 227

	
228 228
      /// Iterator class for the edges.
229 229

	
230 230
      /// This iterator goes through each edge of the graph.
231
      /// Its usage is quite simple, for example you can count the number
231
      /// Its usage is quite simple, for example, you can count the number
232 232
      /// of edges in a graph \c g of type \c %Graph as follows:
233 233
      ///\code
234 234
      /// int count=0;
235 235
      /// for(Graph::EdgeIt e(g); e!=INVALID; ++e) ++count;
236 236
      ///\endcode
237 237
      class EdgeIt : public Edge {
238 238
      public:
239 239
        /// Default constructor
240 240

	
241 241
        /// Default constructor.
242 242
        /// \warning It sets the iterator to an undefined value.
243 243
        EdgeIt() { }
... ...
@@ -263,25 +263,25 @@
263 263
        EdgeIt(const Graph&, const Edge&) { }
264 264
        /// Next edge
265 265

	
266 266
        /// Assign the iterator to the next edge.
267 267
        ///
268 268
        EdgeIt& operator++() { return *this; }
269 269
      };
270 270

	
271 271
      /// Iterator class for the incident edges of a node.
272 272

	
273 273
      /// This iterator goes trough the incident undirected edges
274 274
      /// of a certain node of a graph.
275
      /// Its usage is quite simple, for example you can compute the
275
      /// Its usage is quite simple, for example, you can compute the
276 276
      /// degree (i.e. the number of incident edges) of a node \c n
277 277
      /// in a graph \c g of type \c %Graph as follows.
278 278
      ///
279 279
      ///\code
280 280
      /// int count=0;
281 281
      /// for(Graph::IncEdgeIt e(g, n); e!=INVALID; ++e) ++count;
282 282
      ///\endcode
283 283
      ///
284 284
      /// \warning Loop edges will be iterated twice.
285 285
      class IncEdgeIt : public Edge {
286 286
      public:
287 287
        /// Default constructor
... ...
@@ -360,25 +360,25 @@
360 360
        bool operator<(Arc) const { return false; }
361 361

	
362 362
        /// Converison to \c Edge
363 363
        
364 364
        /// Converison to \c Edge.
365 365
        ///
366 366
        operator Edge() const { return Edge(); }
367 367
      };
368 368

	
369 369
      /// Iterator class for the arcs.
370 370

	
371 371
      /// This iterator goes through each directed arc of the graph.
372
      /// Its usage is quite simple, for example you can count the number
372
      /// Its usage is quite simple, for example, you can count the number
373 373
      /// of arcs in a graph \c g of type \c %Graph as follows:
374 374
      ///\code
375 375
      /// int count=0;
376 376
      /// for(Graph::ArcIt a(g); a!=INVALID; ++a) ++count;
377 377
      ///\endcode
378 378
      class ArcIt : public Arc {
379 379
      public:
380 380
        /// Default constructor
381 381

	
382 382
        /// Default constructor.
383 383
        /// \warning It sets the iterator to an undefined value.
384 384
        ArcIt() { }
... ...
@@ -404,25 +404,25 @@
404 404
        ArcIt(const Graph&, const Arc&) { }
405 405
        /// Next arc
406 406

	
407 407
        /// Assign the iterator to the next arc.
408 408
        ///
409 409
        ArcIt& operator++() { return *this; }
410 410
      };
411 411

	
412 412
      /// Iterator class for the outgoing arcs of a node.
413 413

	
414 414
      /// This iterator goes trough the \e outgoing directed arcs of a
415 415
      /// certain node of a graph.
416
      /// Its usage is quite simple, for example you can count the number
416
      /// Its usage is quite simple, for example, you can count the number
417 417
      /// of outgoing arcs of a node \c n
418 418
      /// in a graph \c g of type \c %Graph as follows.
419 419
      ///\code
420 420
      /// int count=0;
421 421
      /// for (Digraph::OutArcIt a(g, n); a!=INVALID; ++a) ++count;
422 422
      ///\endcode
423 423
      class OutArcIt : public Arc {
424 424
      public:
425 425
        /// Default constructor
426 426

	
427 427
        /// Default constructor.
428 428
        /// \warning It sets the iterator to an undefined value.
... ...
@@ -452,25 +452,25 @@
452 452
        OutArcIt(const Graph&, const Arc&) { }
453 453
        /// Next outgoing arc
454 454

	
455 455
        /// Assign the iterator to the next
456 456
        /// outgoing arc of the corresponding node.
457 457
        OutArcIt& operator++() { return *this; }
458 458
      };
459 459

	
460 460
      /// Iterator class for the incoming arcs of a node.
461 461

	
462 462
      /// This iterator goes trough the \e incoming directed arcs of a
463 463
      /// certain node of a graph.
464
      /// Its usage is quite simple, for example you can count the number
464
      /// Its usage is quite simple, for example, you can count the number
465 465
      /// of incoming arcs of a node \c n
466 466
      /// in a graph \c g of type \c %Graph as follows.
467 467
      ///\code
468 468
      /// int count=0;
469 469
      /// for (Digraph::InArcIt a(g, n); a!=INVALID; ++a) ++count;
470 470
      ///\endcode
471 471
      class InArcIt : public Arc {
472 472
      public:
473 473
        /// Default constructor
474 474

	
475 475
        /// Default constructor.
476 476
        /// \warning It sets the iterator to an undefined value.
... ...
@@ -578,38 +578,38 @@
578 578
        ///Assignment operator
579 579
        template <typename CMap>
580 580
        EdgeMap& operator=(const CMap&) {
581 581
          checkConcept<ReadMap<Edge, T>, CMap>();
582 582
          return *this;
583 583
        }
584 584
      };
585 585

	
586 586
      /// \brief The first node of the edge.
587 587
      ///
588 588
      /// Returns the first node of the given edge.
589 589
      ///
590
      /// Edges don't have source and target nodes, however methods
590
      /// Edges don't have source and target nodes, however, methods
591 591
      /// u() and v() are used to query the two end-nodes of an edge.
592 592
      /// The orientation of an edge that arises this way is called
593 593
      /// the inherent direction, it is used to define the default
594 594
      /// direction for the corresponding arcs.
595 595
      /// \sa v()
596 596
      /// \sa direction()
597 597
      Node u(Edge) const { return INVALID; }
598 598

	
599 599
      /// \brief The second node of the edge.
600 600
      ///
601 601
      /// Returns the second node of the given edge.
602 602
      ///
603
      /// Edges don't have source and target nodes, however methods
603
      /// Edges don't have source and target nodes, however, methods
604 604
      /// u() and v() are used to query the two end-nodes of an edge.
605 605
      /// The orientation of an edge that arises this way is called
606 606
      /// the inherent direction, it is used to define the default
607 607
      /// direction for the corresponding arcs.
608 608
      /// \sa u()
609 609
      /// \sa direction()
610 610
      Node v(Edge) const { return INVALID; }
611 611

	
612 612
      /// \brief The source node of the arc.
613 613
      ///
614 614
      /// Returns the source node of the given arc.
615 615
      Node source(Arc) const { return INVALID; }
Ignore white space 6 line context
... ...
@@ -9,25 +9,25 @@
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
///\ingroup graph_concepts
20 20
///\file
21
///\brief The concept of graph components.
21
///\brief The concepts of graph components.
22 22

	
23 23
#ifndef LEMON_CONCEPTS_GRAPH_COMPONENTS_H
24 24
#define LEMON_CONCEPTS_GRAPH_COMPONENTS_H
25 25

	
26 26
#include <lemon/core.h>
27 27
#include <lemon/concepts/maps.h>
28 28

	
29 29
#include <lemon/bits/alteration_notifier.h>
30 30

	
31 31
namespace lemon {
32 32
  namespace concepts {
33 33

	
Ignore white space 6 line context
... ...
@@ -9,98 +9,107 @@
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
///\ingroup concept
20 20
///\file
21
///\brief Classes for representing paths in digraphs.
21
///\brief The concept of paths
22 22
///
23 23

	
24 24
#ifndef LEMON_CONCEPTS_PATH_H
25 25
#define LEMON_CONCEPTS_PATH_H
26 26

	
27 27
#include <lemon/core.h>
28 28
#include <lemon/concept_check.h>
29 29

	
30 30
namespace lemon {
31 31
  namespace concepts {
32 32

	
33 33
    /// \addtogroup concept
34 34
    /// @{
35 35

	
36 36
    /// \brief A skeleton structure for representing directed paths in
37 37
    /// a digraph.
38 38
    ///
39 39
    /// A skeleton structure for representing directed paths in a
40 40
    /// digraph.
41
    /// In a sense, a path can be treated as a list of arcs.
42
    /// LEMON path types just store this list. As a consequence, they cannot
43
    /// enumerate the nodes on the path directly and a zero length path
44
    /// cannot store its source node.
45
    ///
46
    /// The arcs of a path should be stored in the order of their directions,
47
    /// i.e. the target node of each arc should be the same as the source
48
    /// node of the next arc. This consistency could be checked using
49
    /// \ref checkPath().
50
    /// The source and target nodes of a (consistent) path can be obtained
51
    /// using \ref pathSource() and \ref pathTarget().
52
    ///
53
    /// A path can be constructed from another path of any type using the
54
    /// copy constructor or the assignment operator.
55
    ///
41 56
    /// \tparam GR The digraph type in which the path is.
42
    ///
43
    /// In a sense, the path can be treated as a list of arcs. The
44
    /// lemon path type stores just this list. As a consequence it
45
    /// cannot enumerate the nodes in the path and the zero length
46
    /// paths cannot store the source.
47
    ///
48 57
    template <typename GR>
49 58
    class Path {
50 59
    public:
51 60

	
52 61
      /// Type of the underlying digraph.
53 62
      typedef GR Digraph;
54 63
      /// Arc type of the underlying digraph.
55 64
      typedef typename Digraph::Arc Arc;
56 65

	
57 66
      class ArcIt;
58 67

	
59 68
      /// \brief Default constructor
60 69
      Path() {}
61 70

	
62
      /// \brief Template constructor
71
      /// \brief Template copy constructor
63 72
      template <typename CPath>
64 73
      Path(const CPath& cpath) {}
65 74

	
66
      /// \brief Template assigment
75
      /// \brief Template assigment operator
67 76
      template <typename CPath>
68 77
      Path& operator=(const CPath& cpath) {
69 78
        ignore_unused_variable_warning(cpath);
70 79
        return *this;
71 80
      }
72 81

	
73
      /// Length of the path ie. the number of arcs in the path.
82
      /// Length of the path, i.e. the number of arcs on the path.
74 83
      int length() const { return 0;}
75 84

	
76 85
      /// Returns whether the path is empty.
77 86
      bool empty() const { return true;}
78 87

	
79 88
      /// Resets the path to an empty path.
80 89
      void clear() {}
81 90

	
82
      /// \brief LEMON style iterator for path arcs
91
      /// \brief LEMON style iterator for enumerating the arcs of a path.
83 92
      ///
84
      /// This class is used to iterate on the arcs of the paths.
93
      /// LEMON style iterator class for enumerating the arcs of a path.
85 94
      class ArcIt {
86 95
      public:
87 96
        /// Default constructor
88 97
        ArcIt() {}
89 98
        /// Invalid constructor
90 99
        ArcIt(Invalid) {}
91
        /// Constructor for first arc
100
        /// Sets the iterator to the first arc of the given path
92 101
        ArcIt(const Path &) {}
93 102

	
94
        /// Conversion to Arc
103
        /// Conversion to \c Arc
95 104
        operator Arc() const { return INVALID; }
96 105

	
97 106
        /// Next arc
98 107
        ArcIt& operator++() {return *this;}
99 108

	
100 109
        /// Comparison operator
101 110
        bool operator==(const ArcIt&) const {return true;}
102 111
        /// Comparison operator
103 112
        bool operator!=(const ArcIt&) const {return true;}
104 113
        /// Comparison operator
105 114
        bool operator<(const ArcIt&) const {return false;}
106 115

	
... ...
@@ -183,106 +192,100 @@
183 192
          ignore_unused_variable_warning(id);
184 193
          ignore_unused_variable_warning(ed);
185 194
        }
186 195
        _Path& p;
187 196
      };
188 197

	
189 198
    }
190 199

	
191 200

	
192 201
    /// \brief A skeleton structure for path dumpers.
193 202
    ///
194 203
    /// A skeleton structure for path dumpers. The path dumpers are
195
    /// the generalization of the paths. The path dumpers can
196
    /// enumerate the arcs of the path wheter in forward or in
197
    /// backward order.  In most time these classes are not used
198
    /// directly rather it used to assign a dumped class to a real
199
    /// path type.
204
    /// the generalization of the paths, they can enumerate the arcs
205
    /// of the path either in forward or in backward order.
206
    /// These classes are typically not used directly, they are rather
207
    /// used to be assigned to a real path type.
200 208
    ///
201 209
    /// The main purpose of this concept is that the shortest path
202
    /// algorithms can enumerate easily the arcs in reverse order.
203
    /// If we would like to give back a real path from these
204
    /// algorithms then we should create a temporarly path object. In
205
    /// LEMON such algorithms gives back a path dumper what can
206
    /// assigned to a real path and the dumpers can be implemented as
210
    /// algorithms can enumerate the arcs easily in reverse order.
211
    /// In LEMON, such algorithms give back a (reverse) path dumper that
212
    /// can be assigned to a real path. The dumpers can be implemented as
207 213
    /// an adaptor class to the predecessor map.
208 214
    ///
209 215
    /// \tparam GR The digraph type in which the path is.
210
    ///
211
    /// The paths can be constructed from any path type by a
212
    /// template constructor or a template assignment operator.
213 216
    template <typename GR>
214 217
    class PathDumper {
215 218
    public:
216 219

	
217 220
      /// Type of the underlying digraph.
218 221
      typedef GR Digraph;
219 222
      /// Arc type of the underlying digraph.
220 223
      typedef typename Digraph::Arc Arc;
221 224

	
222
      /// Length of the path ie. the number of arcs in the path.
225
      /// Length of the path, i.e. the number of arcs on the path.
223 226
      int length() const { return 0;}
224 227

	
225 228
      /// Returns whether the path is empty.
226 229
      bool empty() const { return true;}
227 230

	
228 231
      /// \brief Forward or reverse dumping
229 232
      ///
230
      /// If the RevPathTag is defined and true then reverse dumping
231
      /// is provided in the path dumper. In this case instead of the
232
      /// ArcIt the RevArcIt iterator should be implemented in the
233
      /// dumper.
233
      /// If this tag is defined to be \c True, then reverse dumping
234
      /// is provided in the path dumper. In this case, \c RevArcIt
235
      /// iterator should be implemented instead of \c ArcIt iterator.
234 236
      typedef False RevPathTag;
235 237

	
236
      /// \brief LEMON style iterator for path arcs
238
      /// \brief LEMON style iterator for enumerating the arcs of a path.
237 239
      ///
238
      /// This class is used to iterate on the arcs of the paths.
240
      /// LEMON style iterator class for enumerating the arcs of a path.
239 241
      class ArcIt {
240 242
      public:
241 243
        /// Default constructor
242 244
        ArcIt() {}
243 245
        /// Invalid constructor
244 246
        ArcIt(Invalid) {}
245
        /// Constructor for first arc
247
        /// Sets the iterator to the first arc of the given path
246 248
        ArcIt(const PathDumper&) {}
247 249

	
248
        /// Conversion to Arc
250
        /// Conversion to \c Arc
249 251
        operator Arc() const { return INVALID; }
250 252

	
251 253
        /// Next arc
252 254
        ArcIt& operator++() {return *this;}
253 255

	
254 256
        /// Comparison operator
255 257
        bool operator==(const ArcIt&) const {return true;}
256 258
        /// Comparison operator
257 259
        bool operator!=(const ArcIt&) const {return true;}
258 260
        /// Comparison operator
259 261
        bool operator<(const ArcIt&) const {return false;}
260 262

	
261 263
      };
262 264

	
263
      /// \brief LEMON style iterator for path arcs
265
      /// \brief LEMON style iterator for enumerating the arcs of a path
266
      /// in reverse direction.
264 267
      ///
265
      /// This class is used to iterate on the arcs of the paths in
266
      /// reverse direction.
268
      /// LEMON style iterator class for enumerating the arcs of a path
269
      /// in reverse direction.
267 270
      class RevArcIt {
268 271
      public:
269 272
        /// Default constructor
270 273
        RevArcIt() {}
271 274
        /// Invalid constructor
272 275
        RevArcIt(Invalid) {}
273
        /// Constructor for first arc
276
        /// Sets the iterator to the last arc of the given path
274 277
        RevArcIt(const PathDumper &) {}
275 278

	
276
        /// Conversion to Arc
279
        /// Conversion to \c Arc
277 280
        operator Arc() const { return INVALID; }
278 281

	
279 282
        /// Next arc
280 283
        RevArcIt& operator++() {return *this;}
281 284

	
282 285
        /// Comparison operator
283 286
        bool operator==(const RevArcIt&) const {return true;}
284 287
        /// Comparison operator
285 288
        bool operator!=(const RevArcIt&) const {return true;}
286 289
        /// Comparison operator
287 290
        bool operator<(const RevArcIt&) const {return false;}
288 291

	
Ignore white space 6 line context
... ...
@@ -203,25 +203,25 @@
203 203

	
204 204
    /// Resets the counter to the given value.
205 205
    /// \note This function does not reset the values of
206 206
    /// \ref SubCounter "SubCounter"s but it resets \ref NoSubCounter
207 207
    /// "NoSubCounter"s along with the main counter.
208 208
    void reset(int c=0) {count=c;}
209 209
    /// Returns the value of the counter.
210 210
    operator int() {return count;}
211 211
  };
212 212

	
213 213
  /// 'Do nothing' version of Counter.
214 214

	
215
  /// This class can be used in the same way as \ref Counter however it
215
  /// This class can be used in the same way as \ref Counter, but it
216 216
  /// does not count at all and does not print report on destruction.
217 217
  ///
218 218
  /// Replacing a \ref Counter with a \ref NoCounter makes it possible
219 219
  /// to turn off all counting and reporting (SubCounters should also
220 220
  /// be replaced with NoSubCounters), so it does not affect the
221 221
  /// efficiency of the program at all.
222 222
  ///
223 223
  /// \sa Counter
224 224
  class NoCounter
225 225
  {
226 226
  public:
227 227
    typedef _NoSubCounter<NoCounter> SubCounter;
Ignore white space 6 line context
... ...
@@ -54,25 +54,25 @@
54 54
    ///This function instantiates a \ref PredMap.
55 55
    ///\param g is the digraph, to which we would like to define the
56 56
    ///\ref 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 conform to the \ref concepts::WriteMap "WriteMap" concept.
66
    ///By default it is a NullMap.
66
    ///By default, it is a NullMap.
67 67
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
68 68
    ///Instantiates a \c ProcessedMap.
69 69

	
70 70
    ///This function instantiates a \ref ProcessedMap.
71 71
    ///\param g is the digraph, to which
72 72
    ///we would like to define the \ref ProcessedMap.
73 73
#ifdef DOXYGEN
74 74
    static ProcessedMap *createProcessedMap(const Digraph &g)
75 75
#else
76 76
    static ProcessedMap *createProcessedMap(const Digraph &)
77 77
#endif
78 78
    {
... ...
@@ -769,25 +769,25 @@
769 769
    ///This function instantiates a PredMap.
770 770
    ///\param g is the digraph, to which we would like to define the
771 771
    ///PredMap.
772 772
    static PredMap *createPredMap(const Digraph &g)
773 773
    {
774 774
      return new PredMap(g);
775 775
    }
776 776

	
777 777
    ///The type of the map that indicates which nodes are processed.
778 778

	
779 779
    ///The type of the map that indicates which nodes are processed.
780 780
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
781
    ///By default it is a NullMap.
781
    ///By default, it is a NullMap.
782 782
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
783 783
    ///Instantiates a ProcessedMap.
784 784

	
785 785
    ///This function instantiates a ProcessedMap.
786 786
    ///\param g is the digraph, to which
787 787
    ///we would like to define the ProcessedMap.
788 788
#ifdef DOXYGEN
789 789
    static ProcessedMap *createProcessedMap(const Digraph &g)
790 790
#else
791 791
    static ProcessedMap *createProcessedMap(const Digraph &)
792 792
#endif
793 793
    {
Ignore white space 6 line context
... ...
@@ -123,25 +123,25 @@
123 123
    ///This function instantiates a \ref PredMap.
124 124
    ///\param g is the digraph, to which we would like to define the
125 125
    ///\ref PredMap.
126 126
    static PredMap *createPredMap(const Digraph &g)
127 127
    {
128 128
      return new PredMap(g);
129 129
    }
130 130

	
131 131
    ///The type of the map that indicates which nodes are processed.
132 132

	
133 133
    ///The type of the map that indicates which nodes are processed.
134 134
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
135
    ///By default it is a NullMap.
135
    ///By default, it is a NullMap.
136 136
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
137 137
    ///Instantiates a \c ProcessedMap.
138 138

	
139 139
    ///This function instantiates a \ref ProcessedMap.
140 140
    ///\param g is the digraph, to which
141 141
    ///we would like to define the \ref ProcessedMap.
142 142
#ifdef DOXYGEN
143 143
    static ProcessedMap *createProcessedMap(const Digraph &g)
144 144
#else
145 145
    static ProcessedMap *createProcessedMap(const Digraph &)
146 146
#endif
147 147
    {
... ...
@@ -417,46 +417,46 @@
417 417
        return new Heap(R);
418 418
      }
419 419
    };
420 420
    ///\brief \ref named-templ-param "Named parameter" for setting
421 421
    ///heap and cross reference types with automatic allocation
422 422
    ///
423 423
    ///\ref named-templ-param "Named parameter" for setting heap and cross
424 424
    ///reference types with automatic allocation.
425 425
    ///They should have standard constructor interfaces to be able to
426 426
    ///automatically created by the algorithm (i.e. the digraph should be
427 427
    ///passed to the constructor of the cross reference and the cross
428 428
    ///reference should be passed to the constructor of the heap).
429
    ///However external heap and cross reference objects could also be
429
    ///However, external heap and cross reference objects could also be
430 430
    ///passed to the algorithm using the \ref heap() function before
431 431
    ///calling \ref run(Node) "run()" or \ref init().
432 432
    ///\sa SetHeap
433 433
    template <class H, class CR = typename Digraph::template NodeMap<int> >
434 434
    struct SetStandardHeap
435 435
      : public Dijkstra< Digraph, LengthMap, SetStandardHeapTraits<H, CR> > {
436 436
      typedef Dijkstra< Digraph, LengthMap, SetStandardHeapTraits<H, CR> >
437 437
      Create;
438 438
    };
439 439

	
440 440
    template <class T>
441 441
    struct SetOperationTraitsTraits : public Traits {
442 442
      typedef T OperationTraits;
443 443
    };
444 444

	
445 445
    /// \brief \ref named-templ-param "Named parameter" for setting
446 446
    ///\c OperationTraits type
447 447
    ///
448 448
    ///\ref named-templ-param "Named parameter" for setting
449 449
    ///\c OperationTraits type.
450
    /// For more information see \ref DijkstraDefaultOperationTraits.
450
    /// For more information, see \ref DijkstraDefaultOperationTraits.
451 451
    template <class T>
452 452
    struct SetOperationTraits
453 453
      : public Dijkstra<Digraph, LengthMap, SetOperationTraitsTraits<T> > {
454 454
      typedef Dijkstra<Digraph, LengthMap, SetOperationTraitsTraits<T> >
455 455
      Create;
456 456
    };
457 457

	
458 458
    ///@}
459 459

	
460 460
  protected:
461 461

	
462 462
    Dijkstra() {}
... ...
@@ -987,25 +987,25 @@
987 987
    ///This function instantiates a PredMap.
988 988
    ///\param g is the digraph, to which we would like to define the
989 989
    ///PredMap.
990 990
    static PredMap *createPredMap(const Digraph &g)
991 991
    {
992 992
      return new PredMap(g);
993 993
    }
994 994

	
995 995
    ///The type of the map that indicates which nodes are processed.
996 996

	
997 997
    ///The type of the map that indicates which nodes are processed.
998 998
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
999
    ///By default it is a NullMap.
999
    ///By default, it is a NullMap.
1000 1000
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
1001 1001
    ///Instantiates a ProcessedMap.
1002 1002

	
1003 1003
    ///This function instantiates a ProcessedMap.
1004 1004
    ///\param g is the digraph, to which
1005 1005
    ///we would like to define the ProcessedMap.
1006 1006
#ifdef DOXYGEN
1007 1007
    static ProcessedMap *createProcessedMap(const Digraph &g)
1008 1008
#else
1009 1009
    static ProcessedMap *createProcessedMap(const Digraph &)
1010 1010
#endif
1011 1011
    {
Ignore white space 6 line context
... ...
@@ -285,29 +285,27 @@
285 285
    /// For higher level interfaces see MinCutNodeIt and MinCutEdgeIt.
286 286
    ///
287 287
    /// \param s The base node.
288 288
    /// \param t The node you want to separate from node \c s.
289 289
    /// \param cutMap The cut will be returned in this map.
290 290
    /// It must be a \c bool (or convertible) \ref concepts::ReadWriteMap
291 291
    /// "ReadWriteMap" on the graph nodes.
292 292
    ///
293 293
    /// \return The value of the minimum cut between \c s and \c t.
294 294
    ///
295 295
    /// \pre \ref run() must be called before using this function.
296 296
    template <typename CutMap>
297
    Value minCutMap(const Node& s, ///< 
297
    Value minCutMap(const Node& s,
298 298
                    const Node& t,
299
                    ///< 
300 299
                    CutMap& cutMap
301
                    ///< 
302 300
                    ) const {
303 301
      Node sn = s, tn = t;
304 302
      bool s_root=false;
305 303
      Node rn = INVALID;
306 304
      Value value = std::numeric_limits<Value>::max();
307 305
      
308 306
      while (sn != tn) {
309 307
	if ((*_order)[sn] < (*_order)[tn]) {
310 308
	  if ((*_weight)[tn] <= value) {
311 309
	    rn = tn;
312 310
            s_root = false;
313 311
	    value = (*_weight)[tn];
... ...
@@ -385,25 +383,25 @@
385 383
                   ///< If it is \c true (default) then the iterator lists
386 384
                   ///  the nodes of the component containing \c s,
387 385
                   ///  otherwise it lists the other component.
388 386
                   /// \note As the minimum cut is not always unique,
389 387
                   /// \code
390 388
                   /// MinCutNodeIt(gomory, s, t, true);
391 389
                   /// \endcode
392 390
                   /// and
393 391
                   /// \code
394 392
                   /// MinCutNodeIt(gomory, t, s, false);
395 393
                   /// \endcode
396 394
                   /// does not necessarily give the same set of nodes.
397
                   /// However it is ensured that
395
                   /// However, it is ensured that
398 396
                   /// \code
399 397
                   /// MinCutNodeIt(gomory, s, t, true);
400 398
                   /// \endcode
401 399
                   /// and
402 400
                   /// \code
403 401
                   /// MinCutNodeIt(gomory, s, t, false);
404 402
                   /// \endcode
405 403
                   /// together list each node exactly once.
406 404
                   )
407 405
        : _side(side), _cut(gomory._graph)
408 406
      {
409 407
        gomory.minCutMap(s,t,_cut);
Ignore white space 6 line context
... ...
@@ -133,25 +133,25 @@
133 133

	
134 134
  bool _absoluteNodeSizes;
135 135
  bool _absoluteArcWidths;
136 136

	
137 137
  bool _negY;
138 138

	
139 139
  bool _preScale;
140 140
  ///Constructor
141 141

	
142 142
  ///Constructor
143 143
  ///\param gr  Reference to the graph to be printed.
144 144
  ///\param ost Reference to the output stream.
145
  ///By default it is <tt>std::cout</tt>.
145
  ///By default, it is <tt>std::cout</tt>.
146 146
  ///\param pros If it is \c true, then the \c ostream referenced by \c os
147 147
  ///will be explicitly deallocated by the destructor.
148 148
  DefaultGraphToEpsTraits(const GR &gr, std::ostream& ost = std::cout,
149 149
                          bool pros = false) :
150 150
    g(gr), os(ost),
151 151
    _coords(dim2::Point<double>(1,1)), _nodeSizes(1), _nodeShapes(0),
152 152
    _nodeColors(WHITE), _arcColors(BLACK),
153 153
    _arcWidths(1.0), _arcWidthScale(0.003),
154 154
    _nodeScale(.01), _xBorder(10), _yBorder(10), _scale(1.0),
155 155
    _nodeBorderQuotient(.1),
156 156
    _drawArrows(false), _arrowLength(1), _arrowWidth(0.3),
157 157
    _showNodes(true), _showArcs(true),
... ...
@@ -503,25 +503,25 @@
503 503
  ///
504 504
  GraphToEps<T> &absoluteNodeSizes(bool b=true) {
505 505
    _absoluteNodeSizes=b;return *this;
506 506
  }
507 507

	
508 508
  ///Negates the Y coordinates.
509 509
  GraphToEps<T> &negateY(bool b=true) {
510 510
    _negY=b;return *this;
511 511
  }
512 512

	
513 513
  ///Turn on/off pre-scaling
514 514

	
515
  ///By default graphToEps() rescales the whole image in order to avoid
515
  ///By default, graphToEps() rescales the whole image in order to avoid
516 516
  ///very big or very small bounding boxes.
517 517
  ///
518 518
  ///This (p)rescaling can be turned off with this function.
519 519
  ///
520 520
  GraphToEps<T> &preScale(bool b=true) {
521 521
    _preScale=b;return *this;
522 522
  }
523 523

	
524 524
  ///Sets a global scale factor for arc widths
525 525

	
526 526
  /// Sets a global scale factor for arc widths.
527 527
  ///
... ...
@@ -1105,37 +1105,37 @@
1105 1105
template<class T>
1106 1106
const double GraphToEps<T>::A4WIDTH  = 595.275590551181;
1107 1107
template<class T>
1108 1108
const double GraphToEps<T>::A4BORDER = 15;
1109 1109

	
1110 1110

	
1111 1111
///Generates an EPS file from a graph
1112 1112

	
1113 1113
///\ingroup eps_io
1114 1114
///Generates an EPS file from a graph.
1115 1115
///\param g Reference to the graph to be printed.
1116 1116
///\param os Reference to the output stream.
1117
///By default it is <tt>std::cout</tt>.
1117
///By default, it is <tt>std::cout</tt>.
1118 1118
///
1119 1119
///This function also has a lot of
1120 1120
///\ref named-templ-func-param "named parameters",
1121 1121
///they are declared as the members of class \ref GraphToEps. The following
1122 1122
///example shows how to use these parameters.
1123 1123
///\code
1124 1124
/// graphToEps(g,os).scale(10).coords(coords)
1125 1125
///              .nodeScale(2).nodeSizes(sizes)
1126 1126
///              .arcWidthScale(.4).run();
1127 1127
///\endcode
1128 1128
///
1129
///For more detailed examples see the \ref graph_to_eps_demo.cc demo file.
1129
///For more detailed examples, see the \ref graph_to_eps_demo.cc demo file.
1130 1130
///
1131 1131
///\warning Don't forget to put the \ref GraphToEps::run() "run()"
1132 1132
///to the end of the parameter list.
1133 1133
///\sa GraphToEps
1134 1134
///\sa graphToEps(GR &g, const char *file_name)
1135 1135
template<class GR>
1136 1136
GraphToEps<DefaultGraphToEpsTraits<GR> >
1137 1137
graphToEps(GR &g, std::ostream& os=std::cout)
1138 1138
{
1139 1139
  return
1140 1140
    GraphToEps<DefaultGraphToEpsTraits<GR> >(DefaultGraphToEpsTraits<GR>(g,os));
1141 1141
}
Ignore white space 6 line context
... ...
@@ -278,25 +278,25 @@
278 278

	
279 279
  typedef GraphExtender<HypercubeGraphBase> ExtendedHypercubeGraphBase;
280 280

	
281 281
  /// \ingroup graphs
282 282
  ///
283 283
  /// \brief Hypercube graph class
284 284
  ///
285 285
  /// HypercubeGraph implements a special graph type. The nodes of the
286 286
  /// graph are indexed with integers having at most \c dim binary digits.
287 287
  /// Two nodes are connected in the graph if and only if their indices
288 288
  /// differ only on one position in the binary form.
289 289
  /// This class is completely static and it needs constant memory space.
290
  /// Thus you can neither add nor delete nodes or edges, however 
290
  /// Thus you can neither add nor delete nodes or edges, however,
291 291
  /// the structure can be resized using resize().
292 292
  ///
293 293
  /// This type fully conforms to the \ref concepts::Graph "Graph concept".
294 294
  /// Most of its member functions and nested classes are documented
295 295
  /// only in the concept class.
296 296
  ///
297 297
  /// This class provides constant time counting for nodes, edges and arcs.
298 298
  ///
299 299
  /// \note The type of the indices is chosen to \c int for efficiency
300 300
  /// reasons. Thus the maximum dimension of this implementation is 26
301 301
  /// (assuming that the size of \c int is 32 bit).
302 302
  class HypercubeGraph : public ExtendedHypercubeGraphBase {
Ignore white space 6 line context
... ...
@@ -418,25 +418,25 @@
418 418
  /// rules.
419 419
  ///
420 420
  ///\code
421 421
  /// DigraphReader<DGR>(digraph, std::cin).
422 422
  ///   nodeMap("coordinates", coord_map).
423 423
  ///   arcMap("capacity", cap_map).
424 424
  ///   node("source", src).
425 425
  ///   node("target", trg).
426 426
  ///   attribute("caption", caption).
427 427
  ///   run();
428 428
  ///\endcode
429 429
  ///
430
  /// By default the reader uses the first section in the file of the
430
  /// By default, the reader uses the first section in the file of the
431 431
  /// proper type. If a section has an optional name, then it can be
432 432
  /// selected for reading by giving an optional name parameter to the
433 433
  /// \c nodes(), \c arcs() or \c attributes() functions.
434 434
  ///
435 435
  /// The \c useNodes() and \c useArcs() functions are used to tell the reader
436 436
  /// that the nodes or arcs should not be constructed (added to the
437 437
  /// graph) during the reading, but instead the label map of the items
438 438
  /// are given as a parameter of these functions. An
439 439
  /// application of these functions is multipass reading, which is
440 440
  /// important if two \c \@arcs sections must be read from the
441 441
  /// file. In this case the first phase would read the node set and one
442 442
  /// of the arc sets, while the second phase would read the second arc
... ...
@@ -2212,25 +2212,25 @@
2212 2212
    /// \name Section Readers
2213 2213
    /// @{
2214 2214

	
2215 2215
    /// \brief Add a section processor with line oriented reading
2216 2216
    ///
2217 2217
    /// The first parameter is the type descriptor of the section, the
2218 2218
    /// second is a functor, which takes just one \c std::string
2219 2219
    /// parameter. At the reading process, each line of the section
2220 2220
    /// will be given to the functor object. However, the empty lines
2221 2221
    /// and the comment lines are filtered out, and the leading
2222 2222
    /// whitespaces are trimmed from each processed string.
2223 2223
    ///
2224
    /// For example let's see a section, which contain several
2224
    /// For example, let's see a section, which contain several
2225 2225
    /// integers, which should be inserted into a vector.
2226 2226
    ///\code
2227 2227
    ///  @numbers
2228 2228
    ///  12 45 23
2229 2229
    ///  4
2230 2230
    ///  23 6
2231 2231
    ///\endcode
2232 2232
    ///
2233 2233
    /// The functor is implemented as a struct:
2234 2234
    ///\code
2235 2235
    ///  struct NumberSection {
2236 2236
    ///    std::vector<int>& _data;
Ignore white space 6 line context
... ...
@@ -391,37 +391,37 @@
391 391
    /// This function gives back \c true if the given arc is valid,
392 392
    /// i.e. it is a real arc of the digraph.
393 393
    ///
394 394
    /// \warning A removed arc could become valid again if new arcs are
395 395
    /// added to the digraph.
396 396
    bool valid(Arc a) const { return Parent::valid(a); }
397 397

	
398 398
    /// Change the target node of an arc
399 399

	
400 400
    /// This function changes the target node of the given arc \c a to \c n.
401 401
    ///
402 402
    ///\note \c ArcIt and \c OutArcIt iterators referencing the changed
403
    ///arc remain valid, however \c InArcIt iterators are invalidated.
403
    ///arc remain valid, but \c InArcIt iterators are invalidated.
404 404
    ///
405 405
    ///\warning This functionality cannot be used together with the Snapshot
406 406
    ///feature.
407 407
    void changeTarget(Arc a, Node n) {
408 408
      Parent::changeTarget(a,n);
409 409
    }
410 410
    /// Change the source node of an arc
411 411

	
412 412
    /// This function changes the source node of the given arc \c a to \c n.
413 413
    ///
414 414
    ///\note \c InArcIt iterators referencing the changed arc remain
415
    ///valid, however \c ArcIt and \c OutArcIt iterators are invalidated.
415
    ///valid, but \c ArcIt and \c OutArcIt iterators are invalidated.
416 416
    ///
417 417
    ///\warning This functionality cannot be used together with the Snapshot
418 418
    ///feature.
419 419
    void changeSource(Arc a, Node n) {
420 420
      Parent::changeSource(a,n);
421 421
    }
422 422

	
423 423
    /// Reverse the direction of an arc.
424 424

	
425 425
    /// This function reverses the direction of the given arc.
426 426
    ///\note \c ArcIt, \c OutArcIt and \c InArcIt iterators referencing
427 427
    ///the changed arc are invalidated.
... ...
@@ -550,25 +550,25 @@
550 550
    /// Class to make a snapshot of the digraph and restore it later.
551 551
    ///
552 552
    /// The newly added nodes and arcs can be removed using the
553 553
    /// restore() function.
554 554
    ///
555 555
    /// \note After a state is restored, you cannot restore a later state, 
556 556
    /// i.e. you cannot add the removed nodes and arcs again using
557 557
    /// another Snapshot instance.
558 558
    ///
559 559
    /// \warning Node and arc deletions and other modifications (e.g.
560 560
    /// reversing, contracting, splitting arcs or nodes) cannot be
561 561
    /// restored. These events invalidate the snapshot.
562
    /// However the arcs and nodes that were added to the digraph after
562
    /// However, the arcs and nodes that were added to the digraph after
563 563
    /// making the current snapshot can be removed without invalidating it.
564 564
    class Snapshot {
565 565
    protected:
566 566

	
567 567
      typedef Parent::NodeNotifier NodeNotifier;
568 568

	
569 569
      class NodeObserverProxy : public NodeNotifier::ObserverBase {
570 570
      public:
571 571

	
572 572
        NodeObserverProxy(Snapshot& _snapshot)
573 573
          : snapshot(_snapshot) {}
574 574

	
... ...
@@ -1277,25 +1277,25 @@
1277 1277
    ///base node is the changed node are also invalidated.
1278 1278
    ///
1279 1279
    ///\warning This functionality cannot be used together with the
1280 1280
    ///Snapshot feature.
1281 1281
    void changeU(Edge e, Node n) {
1282 1282
      Parent::changeU(e,n);
1283 1283
    }
1284 1284
    /// \brief Change the second node of an edge.
1285 1285
    ///
1286 1286
    /// This function changes the second node of the given edge \c e to \c n.
1287 1287
    ///
1288 1288
    ///\note \c EdgeIt iterators referencing the changed edge remain
1289
    ///valid, however \c ArcIt iterators referencing the changed edge and
1289
    ///valid, but \c ArcIt iterators referencing the changed edge and
1290 1290
    ///all other iterators whose base node is the changed node are also
1291 1291
    ///invalidated.
1292 1292
    ///
1293 1293
    ///\warning This functionality cannot be used together with the
1294 1294
    ///Snapshot feature.
1295 1295
    void changeV(Edge e, Node n) {
1296 1296
      Parent::changeV(e,n);
1297 1297
    }
1298 1298

	
1299 1299
    /// \brief Contract two nodes.
1300 1300
    ///
1301 1301
    /// This function contracts the given two nodes.
... ...
@@ -1362,25 +1362,25 @@
1362 1362
    /// Class to make a snapshot of the graph and restore it later.
1363 1363
    ///
1364 1364
    /// The newly added nodes and edges can be removed
1365 1365
    /// using the restore() function.
1366 1366
    ///
1367 1367
    /// \note After a state is restored, you cannot restore a later state, 
1368 1368
    /// i.e. you cannot add the removed nodes and edges again using
1369 1369
    /// another Snapshot instance.
1370 1370
    ///
1371 1371
    /// \warning Node and edge deletions and other modifications
1372 1372
    /// (e.g. changing the end-nodes of edges or contracting nodes)
1373 1373
    /// cannot be restored. These events invalidate the snapshot.
1374
    /// However the edges and nodes that were added to the graph after
1374
    /// However, the edges and nodes that were added to the graph after
1375 1375
    /// making the current snapshot can be removed without invalidating it.
1376 1376
    class Snapshot {
1377 1377
    protected:
1378 1378

	
1379 1379
      typedef Parent::NodeNotifier NodeNotifier;
1380 1380

	
1381 1381
      class NodeObserverProxy : public NodeNotifier::ObserverBase {
1382 1382
      public:
1383 1383

	
1384 1384
        NodeObserverProxy(Snapshot& _snapshot)
1385 1385
          : snapshot(_snapshot) {}
1386 1386

	
Ignore white space 6 line context
... ...
@@ -137,25 +137,25 @@
137 137

	
138 138
      /// To allow the use of this object in std::map or similar
139 139
      /// associative container we require this.
140 140
      ///
141 141
      /// \note This operator only have to define some strict ordering of
142 142
      /// the items; this order has nothing to do with the iteration
143 143
      /// ordering of the items.
144 144
      bool operator<(Col c) const  {return _id < c._id;}
145 145
    };
146 146

	
147 147
    ///Iterator for iterate over the columns of an LP problem
148 148

	
149
    /// Its usage is quite simple, for example you can count the number
149
    /// Its usage is quite simple, for example, you can count the number
150 150
    /// of columns in an LP \c lp:
151 151
    ///\code
152 152
    /// int count=0;
153 153
    /// for (LpBase::ColIt c(lp); c!=INVALID; ++c) ++count;
154 154
    ///\endcode
155 155
    class ColIt : public Col {
156 156
      const LpBase *_solver;
157 157
    public:
158 158
      /// Default constructor
159 159
      
160 160
      /// \warning The default constructor sets the iterator
161 161
      /// to an undefined value.
... ...
@@ -232,25 +232,25 @@
232 232

	
233 233
      /// To allow the use of this object in std::map or similar
234 234
      /// associative container we require this.
235 235
      ///
236 236
      /// \note This operator only have to define some strict ordering of
237 237
      /// the items; this order has nothing to do with the iteration
238 238
      /// ordering of the items.
239 239
      bool operator<(Row r) const  {return _id < r._id;}
240 240
    };
241 241

	
242 242
    ///Iterator for iterate over the rows of an LP problem
243 243

	
244
    /// Its usage is quite simple, for example you can count the number
244
    /// Its usage is quite simple, for example, you can count the number
245 245
    /// of rows in an LP \c lp:
246 246
    ///\code
247 247
    /// int count=0;
248 248
    /// for (LpBase::RowIt c(lp); c!=INVALID; ++c) ++count;
249 249
    ///\endcode
250 250
    class RowIt : public Row {
251 251
      const LpBase *_solver;
252 252
    public:
253 253
      /// Default constructor
254 254
      
255 255
      /// \warning The default constructor sets the iterator
256 256
      /// to an undefined value.
Ignore white space 6 line context
... ...
@@ -221,28 +221,28 @@
221 221
  /// \relates IdentityMap
222 222
  template<typename T>
223 223
  inline IdentityMap<T> identityMap() {
224 224
    return IdentityMap<T>();
225 225
  }
226 226

	
227 227

	
228 228
  /// \brief Map for storing values for integer keys from the range
229 229
  /// <tt>[0..size-1]</tt>.
230 230
  ///
231 231
  /// This map is essentially a wrapper for \c std::vector. It assigns
232 232
  /// values to integer keys from the range <tt>[0..size-1]</tt>.
233
  /// It can be used with some data structures, for example
234
  /// \c UnionFind, \c BinHeap, when the used items are small
233
  /// It can be used together with some data structures, e.g.
234
  /// heap types and \c UnionFind, when the used items are small
235 235
  /// integers. This map conforms to the \ref concepts::ReferenceMap
236
  /// "ReferenceMap" concept.
236
  /// "ReferenceMap" concept. 
237 237
  ///
238 238
  /// The simplest way of using this map is through the rangeMap()
239 239
  /// function.
240 240
  template <typename V>
241 241
  class RangeMap : public MapBase<int, V> {
242 242
    template <typename V1>
243 243
    friend class RangeMap;
244 244
  private:
245 245

	
246 246
    typedef std::vector<V> Vector;
247 247
    Vector _vector;
248 248

	
... ...
@@ -339,27 +339,27 @@
339 339
  /// This map is essentially a wrapper for \c std::map with addition
340 340
  /// that you can specify a default value for the keys that are not
341 341
  /// stored actually. This value can be different from the default
342 342
  /// contructed value (i.e. \c %Value()).
343 343
  /// This type conforms to the \ref concepts::ReferenceMap "ReferenceMap"
344 344
  /// concept.
345 345
  ///
346 346
  /// This map is useful if a default value should be assigned to most of
347 347
  /// the keys and different values should be assigned only to a few
348 348
  /// keys (i.e. the map is "sparse").
349 349
  /// The name of this type also refers to this important usage.
350 350
  ///
351
  /// Apart form that this map can be used in many other cases since it
351
  /// Apart form that, this map can be used in many other cases since it
352 352
  /// is based on \c std::map, which is a general associative container.
353
  /// However keep in mind that it is usually not as efficient as other
353
  /// However, keep in mind that it is usually not as efficient as other
354 354
  /// maps.
355 355
  ///
356 356
  /// The simplest way of using this map is through the sparseMap()
357 357
  /// function.
358 358
  template <typename K, typename V, typename Comp = std::less<K> >
359 359
  class SparseMap : public MapBase<K, V> {
360 360
    template <typename K1, typename V1, typename C1>
361 361
    friend class SparseMap;
362 362
  public:
363 363

	
364 364
    /// Key type
365 365
    typedef K Key;
... ...
@@ -1776,40 +1776,40 @@
1776 1776

	
1777 1777
  private:
1778 1778
    Iterator _begin;
1779 1779
    Iterator _end;
1780 1780
  };
1781 1781

	
1782 1782
  /// Returns a \c LoggerBoolMap class
1783 1783

	
1784 1784
  /// This function just returns a \c LoggerBoolMap class.
1785 1785
  ///
1786 1786
  /// The most important usage of it is storing certain nodes or arcs
1787 1787
  /// that were marked \c true by an algorithm.
1788
  /// For example it makes easier to store the nodes in the processing
1788
  /// For example, it makes easier to store the nodes in the processing
1789 1789
  /// order of Dfs algorithm, as the following examples show.
1790 1790
  /// \code
1791 1791
  ///   std::vector<Node> v;
1792 1792
  ///   dfs(g).processedMap(loggerBoolMap(std::back_inserter(v))).run(s);
1793 1793
  /// \endcode
1794 1794
  /// \code
1795 1795
  ///   std::vector<Node> v(countNodes(g));
1796 1796
  ///   dfs(g).processedMap(loggerBoolMap(v.begin())).run(s);
1797 1797
  /// \endcode
1798 1798
  ///
1799 1799
  /// \note The container of the iterator must contain enough space
1800 1800
  /// for the elements or the iterator should be an inserter iterator.
1801 1801
  ///
1802 1802
  /// \note LoggerBoolMap is just \ref concepts::WriteMap "writable", so
1803
  /// it cannot be used when a readable map is needed, for example as
1803
  /// it cannot be used when a readable map is needed, for example, as
1804 1804
  /// \c ReachedMap for \c Bfs, \c Dfs and \c Dijkstra algorithms.
1805 1805
  ///
1806 1806
  /// \relates LoggerBoolMap
1807 1807
  template<typename Iterator>
1808 1808
  inline LoggerBoolMap<Iterator> loggerBoolMap(Iterator it) {
1809 1809
    return LoggerBoolMap<Iterator>(it);
1810 1810
  }
1811 1811

	
1812 1812
  /// @}
1813 1813

	
1814 1814
  /// \addtogroup graph_maps
1815 1815
  /// @{
... ...
@@ -1913,25 +1913,25 @@
1913 1913
  /// This class provides simple invertable graph maps.
1914 1914
  /// It wraps a standard graph map (\c NodeMap, \c ArcMap or \c EdgeMap)
1915 1915
  /// and if a key is set to a new value, then stores it in the inverse map.
1916 1916
  /// The graph items can be accessed by their values either using
1917 1917
  /// \c InverseMap or \c operator()(), and the values of the map can be
1918 1918
  /// accessed with an STL compatible forward iterator (\c ValueIt).
1919 1919
  /// 
1920 1920
  /// This map is intended to be used when all associated values are
1921 1921
  /// different (the map is actually invertable) or there are only a few
1922 1922
  /// items with the same value.
1923 1923
  /// Otherwise consider to use \c IterableValueMap, which is more 
1924 1924
  /// suitable and more efficient for such cases. It provides iterators
1925
  /// to traverse the items with the same associated value, however
1925
  /// to traverse the items with the same associated value, but
1926 1926
  /// it does not have \c InverseMap.
1927 1927
  ///
1928 1928
  /// This type is not reference map, so it cannot be modified with
1929 1929
  /// the subscript operator.
1930 1930
  ///
1931 1931
  /// \tparam GR The graph type.
1932 1932
  /// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or
1933 1933
  /// \c GR::Edge).
1934 1934
  /// \tparam V The value type of the map.
1935 1935
  ///
1936 1936
  /// \see IterableValueMap
1937 1937
  template <typename GR, typename K, typename V>
... ...
@@ -3457,25 +3457,25 @@
3457 3457
  }
3458 3458

	
3459 3459
  /// \brief Map of the in-degrees of nodes in a digraph.
3460 3460
  ///
3461 3461
  /// This map returns the in-degree of a node. Once it is constructed,
3462 3462
  /// the degrees are stored in a standard \c NodeMap, so each query is done
3463 3463
  /// in constant time. On the other hand, the values are updated automatically
3464 3464
  /// whenever the digraph changes.
3465 3465
  ///
3466 3466
  /// \warning Besides \c addNode() and \c addArc(), a digraph structure
3467 3467
  /// may provide alternative ways to modify the digraph.
3468 3468
  /// The correct behavior of InDegMap is not guarantied if these additional
3469
  /// features are used. For example the functions
3469
  /// features are used. For example, the functions
3470 3470
  /// \ref ListDigraph::changeSource() "changeSource()",
3471 3471
  /// \ref ListDigraph::changeTarget() "changeTarget()" and
3472 3472
  /// \ref ListDigraph::reverseArc() "reverseArc()"
3473 3473
  /// of \ref ListDigraph will \e not update the degree values correctly.
3474 3474
  ///
3475 3475
  /// \sa OutDegMap
3476 3476
  template <typename GR>
3477 3477
  class InDegMap
3478 3478
    : protected ItemSetTraits<GR, typename GR::Arc>
3479 3479
      ::ItemNotifier::ObserverBase {
3480 3480

	
3481 3481
  public:
... ...
@@ -3587,25 +3587,25 @@
3587 3587
  };
3588 3588

	
3589 3589
  /// \brief Map of the out-degrees of nodes in a digraph.
3590 3590
  ///
3591 3591
  /// This map returns the out-degree of a node. Once it is constructed,
3592 3592
  /// the degrees are stored in a standard \c NodeMap, so each query is done
3593 3593
  /// in constant time. On the other hand, the values are updated automatically
3594 3594
  /// whenever the digraph changes.
3595 3595
  ///
3596 3596
  /// \warning Besides \c addNode() and \c addArc(), a digraph structure
3597 3597
  /// may provide alternative ways to modify the digraph.
3598 3598
  /// The correct behavior of OutDegMap is not guarantied if these additional
3599
  /// features are used. For example the functions
3599
  /// features are used. For example, the functions
3600 3600
  /// \ref ListDigraph::changeSource() "changeSource()",
3601 3601
  /// \ref ListDigraph::changeTarget() "changeTarget()" and
3602 3602
  /// \ref ListDigraph::reverseArc() "reverseArc()"
3603 3603
  /// of \ref ListDigraph will \e not update the degree values correctly.
3604 3604
  ///
3605 3605
  /// \sa InDegMap
3606 3606
  template <typename GR>
3607 3607
  class OutDegMap
3608 3608
    : protected ItemSetTraits<GR, typename GR::Arc>
3609 3609
      ::ItemNotifier::ObserverBase {
3610 3610

	
3611 3611
  public:
Ignore white space 6 line context
... ...
@@ -41,43 +41,43 @@
41 41
  ///
42 42
  /// \ref NetworkSimplex implements the primal Network Simplex algorithm
43 43
  /// for finding a \ref min_cost_flow "minimum cost flow"
44 44
  /// \ref amo93networkflows, \ref dantzig63linearprog,
45 45
  /// \ref kellyoneill91netsimplex.
46 46
  /// This algorithm is a specialized version of the linear programming
47 47
  /// simplex method directly for the minimum cost flow problem.
48 48
  /// It is one of the most efficient solution methods.
49 49
  ///
50 50
  /// In general this class is the fastest implementation available
51 51
  /// in LEMON for the minimum cost flow problem.
52 52
  /// Moreover it supports both directions of the supply/demand inequality
53
  /// constraints. For more information see \ref SupplyType.
53
  /// constraints. For more information, see \ref SupplyType.
54 54
  ///
55 55
  /// Most of the parameters of the problem (except for the digraph)
56 56
  /// can be given using separate functions, and the algorithm can be
57 57
  /// executed using the \ref run() function. If some parameters are not
58 58
  /// specified, then default values will be used.
59 59
  ///
60 60
  /// \tparam GR The digraph type the algorithm runs on.
61 61
  /// \tparam V The value type used for flow amounts, capacity bounds
62
  /// and supply values in the algorithm. By default it is \c int.
62
  /// and supply values in the algorithm. By default, it is \c int.
63 63
  /// \tparam C The value type used for costs and potentials in the
64
  /// algorithm. By default it is the same as \c V.
64
  /// algorithm. By default, it is the same as \c V.
65 65
  ///
66 66
  /// \warning Both value types must be signed and all input data must
67 67
  /// be integer.
68 68
  ///
69 69
  /// \note %NetworkSimplex provides five different pivot rule
70 70
  /// implementations, from which the most efficient one is used
71
  /// by default. For more information see \ref PivotRule.
71
  /// by default. For more information, see \ref PivotRule.
72 72
  template <typename GR, typename V = int, typename C = V>
73 73
  class NetworkSimplex
74 74
  {
75 75
  public:
76 76

	
77 77
    /// The type of the flow amounts, capacity bounds and supply values
78 78
    typedef V Value;
79 79
    /// The type of the arc costs
80 80
    typedef C Cost;
81 81

	
82 82
  public:
83 83

	
... ...
@@ -115,53 +115,53 @@
115 115
      /// supply/demand constraints in the definition of the problem.
116 116
      LEQ
117 117
    };
118 118
    
119 119
    /// \brief Constants for selecting the pivot rule.
120 120
    ///
121 121
    /// Enum type containing constants for selecting the pivot rule for
122 122
    /// the \ref run() function.
123 123
    ///
124 124
    /// \ref NetworkSimplex provides five different pivot rule
125 125
    /// implementations that significantly affect the running time
126 126
    /// of the algorithm.
127
    /// By default \ref BLOCK_SEARCH "Block Search" is used, which
127
    /// By default, \ref BLOCK_SEARCH "Block Search" is used, which
128 128
    /// proved to be the most efficient and the most robust on various
129 129
    /// test inputs according to our benchmark tests.
130
    /// However another pivot rule can be selected using the \ref run()
130
    /// However, another pivot rule can be selected using the \ref run()
131 131
    /// function with the proper parameter.
132 132
    enum PivotRule {
133 133

	
134
      /// The First Eligible pivot rule.
134
      /// The \e First \e Eligible pivot rule.
135 135
      /// The next eligible arc is selected in a wraparound fashion
136 136
      /// in every iteration.
137 137
      FIRST_ELIGIBLE,
138 138

	
139
      /// The Best Eligible pivot rule.
139
      /// The \e Best \e Eligible pivot rule.
140 140
      /// The best eligible arc is selected in every iteration.
141 141
      BEST_ELIGIBLE,
142 142

	
143
      /// The Block Search pivot rule.
143
      /// The \e Block \e Search pivot rule.
144 144
      /// A specified number of arcs are examined in every iteration
145 145
      /// in a wraparound fashion and the best eligible arc is selected
146 146
      /// from this block.
147 147
      BLOCK_SEARCH,
148 148

	
149
      /// The Candidate List pivot rule.
149
      /// The \e Candidate \e List pivot rule.
150 150
      /// In a major iteration a candidate list is built from eligible arcs
151 151
      /// in a wraparound fashion and in the following minor iterations
152 152
      /// the best eligible arc is selected from this list.
153 153
      CANDIDATE_LIST,
154 154

	
155
      /// The Altering Candidate List pivot rule.
155
      /// The \e Altering \e Candidate \e List pivot rule.
156 156
      /// It is a modified version of the Candidate List method.
157 157
      /// It keeps only the several best eligible arcs from the former
158 158
      /// candidate list and extends this list in every iteration.
159 159
      ALTERING_LIST
160 160
    };
161 161
    
162 162
  private:
163 163

	
164 164
    TEMPLATE_DIGRAPH_TYPEDEFS(GR);
165 165

	
166 166
    typedef std::vector<int> IntVector;
167 167
    typedef std::vector<bool> BoolVector;
... ...
@@ -803,25 +803,25 @@
803 803
      }
804 804
      _supply[_node_id[s]] =  k;
805 805
      _supply[_node_id[t]] = -k;
806 806
      return *this;
807 807
    }
808 808
    
809 809
    /// \brief Set the type of the supply constraints.
810 810
    ///
811 811
    /// This function sets the type of the supply/demand constraints.
812 812
    /// If it is not used before calling \ref run(), the \ref GEQ supply
813 813
    /// type will be used.
814 814
    ///
815
    /// For more information see \ref SupplyType.
815
    /// For more information, see \ref SupplyType.
816 816
    ///
817 817
    /// \return <tt>(*this)</tt>
818 818
    NetworkSimplex& supplyType(SupplyType supply_type) {
819 819
      _stype = supply_type;
820 820
      return *this;
821 821
    }
822 822

	
823 823
    /// @}
824 824

	
825 825
    /// \name Execution Control
826 826
    /// The algorithm can be executed using \ref run().
827 827

	
... ...
@@ -835,54 +835,54 @@
835 835
    /// \ref supplyType().
836 836
    /// For example,
837 837
    /// \code
838 838
    ///   NetworkSimplex<ListDigraph> ns(graph);
839 839
    ///   ns.lowerMap(lower).upperMap(upper).costMap(cost)
840 840
    ///     .supplyMap(sup).run();
841 841
    /// \endcode
842 842
    ///
843 843
    /// This function can be called more than once. All the parameters
844 844
    /// that have been given are kept for the next call, unless
845 845
    /// \ref reset() is called, thus only the modified parameters
846 846
    /// have to be set again. See \ref reset() for examples.
847
    /// However the underlying digraph must not be modified after this
847
    /// However, the underlying digraph must not be modified after this
848 848
    /// class have been constructed, since it copies and extends the graph.
849 849
    ///
850 850
    /// \param pivot_rule The pivot rule that will be used during the
851
    /// algorithm. For more information see \ref PivotRule.
851
    /// algorithm. For more information, see \ref PivotRule.
852 852
    ///
853 853
    /// \return \c INFEASIBLE if no feasible flow exists,
854 854
    /// \n \c OPTIMAL if the problem has optimal solution
855 855
    /// (i.e. it is feasible and bounded), and the algorithm has found
856 856
    /// optimal flow and node potentials (primal and dual solutions),
857 857
    /// \n \c UNBOUNDED if the objective function of the problem is
858 858
    /// unbounded, i.e. there is a directed cycle having negative total
859 859
    /// cost and infinite upper bound.
860 860
    ///
861 861
    /// \see ProblemType, PivotRule
862 862
    ProblemType run(PivotRule pivot_rule = BLOCK_SEARCH) {
863 863
      if (!init()) return INFEASIBLE;
864 864
      return start(pivot_rule);
865 865
    }
866 866

	
867 867
    /// \brief Reset all the parameters that have been given before.
868 868
    ///
869 869
    /// This function resets all the paramaters that have been given
870 870
    /// before using functions \ref lowerMap(), \ref upperMap(),
871 871
    /// \ref costMap(), \ref supplyMap(), \ref stSupply(), \ref supplyType().
872 872
    ///
873 873
    /// It is useful for multiple run() calls. If this function is not
874 874
    /// used, all the parameters given before are kept for the next
875 875
    /// \ref run() call.
876
    /// However the underlying digraph must not be modified after this
876
    /// However, the underlying digraph must not be modified after this
877 877
    /// class have been constructed, since it copies and extends the graph.
878 878
    ///
879 879
    /// For example,
880 880
    /// \code
881 881
    ///   NetworkSimplex<ListDigraph> ns(graph);
882 882
    ///
883 883
    ///   // First run
884 884
    ///   ns.lowerMap(lower).upperMap(upper).costMap(cost)
885 885
    ///     .supplyMap(sup).run();
886 886
    ///
887 887
    ///   // Run again with modified cost map (reset() is not called,
888 888
    ///   // so only the cost map have to be set again)
Ignore white space 6 line context
... ...
@@ -256,25 +256,25 @@
256 256
        return new Elevator(digraph, max_level);
257 257
      }
258 258
    };
259 259

	
260 260
    /// \brief \ref named-templ-param "Named parameter" for setting
261 261
    /// Elevator type with automatic allocation
262 262
    ///
263 263
    /// \ref named-templ-param "Named parameter" for setting Elevator
264 264
    /// type with automatic allocation.
265 265
    /// The Elevator should have standard constructor interface to be
266 266
    /// able to automatically created by the algorithm (i.e. the
267 267
    /// digraph and the maximum level should be passed to it).
268
    /// However an external elevator object could also be passed to the
268
    /// However, an external elevator object could also be passed to the
269 269
    /// algorithm with the \ref elevator(Elevator&) "elevator()" function
270 270
    /// before calling \ref run() or \ref init().
271 271
    /// \sa SetElevator
272 272
    template <typename T>
273 273
    struct SetStandardElevator
274 274
      : public Preflow<Digraph, CapacityMap,
275 275
                       SetStandardElevatorTraits<T> > {
276 276
      typedef Preflow<Digraph, CapacityMap,
277 277
                      SetStandardElevatorTraits<T> > Create;
278 278
    };
279 279

	
280 280
    /// @}
Ignore white space 6 line context
... ...
@@ -366,25 +366,25 @@
366 366
      if(_running) {
367 367
        _running=0;
368 368
        TimeStamp t;
369 369
        t.stamp();
370 370
        start_time=t-start_time;
371 371
      }
372 372
    }
373 373

	
374 374
    ///Returns the running state of the timer
375 375

	
376 376
    ///This function returns the number of stop() exections that is
377 377
    ///necessary to really stop the timer.
378
    ///For example the timer
378
    ///For example, the timer
379 379
    ///is running if and only if the return value is \c true
380 380
    ///(i.e. greater than
381 381
    ///zero).
382 382
    int running()  { return _running; }
383 383

	
384 384

	
385 385
    ///Restart the time counters
386 386

	
387 387
    ///This function is a shorthand for
388 388
    ///a reset() and a start() calls.
389 389
    ///
390 390
    void restart()
Ignore white space 6 line context
... ...
@@ -34,25 +34,25 @@
34 34

	
35 35
namespace lemon {
36 36

	
37 37
  /// \ingroup auxdat
38 38
  ///
39 39
  /// \brief A \e Union-Find data structure implementation
40 40
  ///
41 41
  /// The class implements the \e Union-Find data structure.
42 42
  /// The union operation uses rank heuristic, while
43 43
  /// the find operation uses path compression.
44 44
  /// This is a very simple but efficient implementation, providing
45 45
  /// only four methods: join (union), find, insert and size.
46
  /// For more features see the \ref UnionFindEnum class.
46
  /// For more features, see the \ref UnionFindEnum class.
47 47
  ///
48 48
  /// It is primarily used in Kruskal algorithm for finding minimal
49 49
  /// cost spanning tree in a graph.
50 50
  /// \sa kruskal()
51 51
  ///
52 52
  /// \pre You need to add all the elements by the \ref insert()
53 53
  /// method.
54 54
  template <typename IM>
55 55
  class UnionFind {
56 56
  public:
57 57

	
58 58
    ///\e
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