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kpeter (Peter Kovacs)
kpeter@inf.elte.hu
Using \tparam commands + removing \author commands (ticket #29, #39)
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1 1
/* -*- C++ -*-
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/graph_utils.h>
28 28
#include <lemon/bits/path_dump.h>
29 29
#include <lemon/bits/invalid.h>
30 30
#include <lemon/error.h>
31 31
#include <lemon/maps.h>
32 32

	
33 33
namespace lemon {
34 34

	
35 35

	
36 36
  
37 37
  ///Default traits class of Bfs class.
38 38

	
39 39
  ///Default traits class of Bfs class.
40
  ///\param GR Digraph type.
40
  ///\tparam GR Digraph type.
41 41
  template<class GR>
42 42
  struct BfsDefaultTraits
43 43
  {
44 44
    ///The digraph type the algorithm runs on. 
45 45
    typedef GR Digraph;
46 46
    ///\brief The type of the map that stores the last
47 47
    ///arcs of the shortest paths.
48 48
    /// 
49 49
    ///The type of the map that stores the last
50 50
    ///arcs of the shortest paths.
51 51
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
52 52
    ///
53 53
    typedef typename Digraph::template NodeMap<typename GR::Arc> PredMap;
54 54
    ///Instantiates a PredMap.
55 55
 
56 56
    ///This function instantiates a \ref PredMap. 
57 57
    ///\param G is the digraph, to which we would like to define the PredMap.
58 58
    ///\todo The digraph alone may be insufficient to initialize
59 59
    static PredMap *createPredMap(const GR &G) 
60 60
    {
61 61
      return new PredMap(G);
62 62
    }
63 63
    ///The type of the map that indicates which nodes are processed.
64 64
 
65 65
    ///The type of the map that indicates which nodes are processed.
66 66
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
67 67
    ///\todo named parameter to set this type, function to read and write.
68 68
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
69 69
    ///Instantiates a ProcessedMap.
70 70
 
71 71
    ///This function instantiates a \ref ProcessedMap. 
72 72
    ///\param g is the digraph, to which
73 73
    ///we would like to define the \ref ProcessedMap
74 74
#ifdef DOXYGEN
75 75
    static ProcessedMap *createProcessedMap(const GR &g)
76 76
#else
77 77
    static ProcessedMap *createProcessedMap(const GR &)
78 78
#endif
79 79
    {
80 80
      return new ProcessedMap();
81 81
    }
82 82
    ///The type of the map that indicates which nodes are reached.
83 83
 
84 84
    ///The type of the map that indicates which nodes are reached.
85 85
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
86 86
    ///\todo named parameter to set this type, function to read and write.
87 87
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
88 88
    ///Instantiates a ReachedMap.
89 89
 
90 90
    ///This function instantiates a \ref ReachedMap. 
91 91
    ///\param G is the digraph, to which
92 92
    ///we would like to define the \ref ReachedMap.
93 93
    static ReachedMap *createReachedMap(const GR &G)
94 94
    {
95 95
      return new ReachedMap(G);
96 96
    }
97 97
    ///The type of the map that stores the dists of the nodes.
98 98
 
99 99
    ///The type of the map that stores the dists of the nodes.
100 100
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
101 101
    ///
102 102
    typedef typename Digraph::template NodeMap<int> DistMap;
103 103
    ///Instantiates a DistMap.
104 104
 
105 105
    ///This function instantiates a \ref DistMap. 
106 106
    ///\param G is the digraph, to which we would like to define the \ref DistMap
107 107
    static DistMap *createDistMap(const GR &G)
108 108
    {
109 109
      return new DistMap(G);
110 110
    }
111 111
  };
112 112
  
113 113
  ///%BFS algorithm class.
114 114
  
115 115
  ///\ingroup search
116 116
  ///This class provides an efficient implementation of the %BFS algorithm.
117 117
  ///
118
  ///\param GR The digraph type the algorithm runs on. The default value is
118
  ///\tparam GR The digraph type the algorithm runs on. The default value is
119 119
  ///\ref ListDigraph. The value of GR is not used directly by Bfs, it
120 120
  ///is only passed to \ref BfsDefaultTraits.
121
  ///\param TR Traits class to set various data types used by the algorithm.
121
  ///\tparam TR Traits class to set various data types used by the algorithm.
122 122
  ///The default traits class is
123 123
  ///\ref BfsDefaultTraits "BfsDefaultTraits<GR>".
124 124
  ///See \ref BfsDefaultTraits for the documentation of
125 125
  ///a Bfs traits class.
126
  ///
127
  ///\author Alpar Juttner
128 126

	
129 127
#ifdef DOXYGEN
130 128
  template <typename GR,
131 129
	    typename TR>
132 130
#else
133 131
  template <typename GR=ListDigraph,
134 132
	    typename TR=BfsDefaultTraits<GR> >
135 133
#endif
136 134
  class Bfs {
137 135
  public:
138 136
    /**
139 137
     * \brief \ref Exception for uninitialized parameters.
140 138
     *
141 139
     * This error represents problems in the initialization
142 140
     * of the parameters of the algorithms.
143 141
     */
144 142
    class UninitializedParameter : public lemon::UninitializedParameter {
145 143
    public:
146 144
      virtual const char* what() const throw() {
147 145
	return "lemon::Bfs::UninitializedParameter";
148 146
      }
149 147
    };
150 148

	
151 149
    typedef TR Traits;
152 150
    ///The type of the underlying digraph.
153 151
    typedef typename TR::Digraph Digraph;
154 152
    
155 153
    ///\brief The type of the map that stores the last
156 154
    ///arcs of the shortest paths.
157 155
    typedef typename TR::PredMap PredMap;
158 156
    ///The type of the map indicating which nodes are reached.
159 157
    typedef typename TR::ReachedMap ReachedMap;
160 158
    ///The type of the map indicating which nodes are processed.
161 159
    typedef typename TR::ProcessedMap ProcessedMap;
162 160
    ///The type of the map that stores the dists of the nodes.
163 161
    typedef typename TR::DistMap DistMap;
164 162
  private:
165 163

	
166 164
    typedef typename Digraph::Node Node;
167 165
    typedef typename Digraph::NodeIt NodeIt;
168 166
    typedef typename Digraph::Arc Arc;
169 167
    typedef typename Digraph::OutArcIt OutArcIt;
170 168

	
171 169
    /// Pointer to the underlying digraph.
172 170
    const Digraph *G;
173 171
    ///Pointer to the map of predecessors arcs.
174 172
    PredMap *_pred;
175 173
    ///Indicates if \ref _pred is locally allocated (\c true) or not.
176 174
    bool local_pred;
177 175
    ///Pointer to the map of distances.
178 176
    DistMap *_dist;
179 177
    ///Indicates if \ref _dist is locally allocated (\c true) or not.
180 178
    bool local_dist;
181 179
    ///Pointer to the map of reached status of the nodes.
182 180
    ReachedMap *_reached;
183 181
    ///Indicates if \ref _reached is locally allocated (\c true) or not.
184 182
    bool local_reached;
185 183
    ///Pointer to the map of processed status of the nodes.
186 184
    ProcessedMap *_processed;
187 185
    ///Indicates if \ref _processed is locally allocated (\c true) or not.
188 186
    bool local_processed;
189 187

	
190 188
    std::vector<typename Digraph::Node> _queue;
191 189
    int _queue_head,_queue_tail,_queue_next_dist;
192 190
    int _curr_dist;
193 191

	
194 192
    ///Creates the maps if necessary.
195 193
    
196 194
    ///\todo Better memory allocation (instead of new).
197 195
    void create_maps() 
198 196
    {
199 197
      if(!_pred) {
200 198
	local_pred = true;
201 199
	_pred = Traits::createPredMap(*G);
202 200
      }
203 201
      if(!_dist) {
204 202
	local_dist = true;
205 203
	_dist = Traits::createDistMap(*G);
206 204
      }
207 205
      if(!_reached) {
208 206
	local_reached = true;
209 207
	_reached = Traits::createReachedMap(*G);
210 208
      }
211 209
      if(!_processed) {
212 210
	local_processed = true;
213 211
	_processed = Traits::createProcessedMap(*G);
214 212
      }
215 213
    }
216 214

	
217 215
  protected:
218 216
    
219 217
    Bfs() {}
220 218
    
221 219
  public:
222 220
 
223 221
    typedef Bfs Create;
224 222

	
225 223
    ///\name Named template parameters
226 224

	
227 225
    ///@{
228 226

	
229 227
    template <class T>
230 228
    struct DefPredMapTraits : public Traits {
231 229
      typedef T PredMap;
232 230
      static PredMap *createPredMap(const Digraph &) 
233 231
      {
234 232
	throw UninitializedParameter();
235 233
      }
236 234
    };
237 235
    ///\brief \ref named-templ-param "Named parameter" for setting
238 236
    ///PredMap type
239 237
    ///
240 238
    ///\ref named-templ-param "Named parameter" for setting PredMap type
241 239
    ///
242 240
    template <class T>
243 241
    struct DefPredMap : public Bfs< Digraph, DefPredMapTraits<T> > { 
244 242
      typedef Bfs< Digraph, DefPredMapTraits<T> > Create;
245 243
    };
246 244
    
247 245
    template <class T>
248 246
    struct DefDistMapTraits : public Traits {
249 247
      typedef T DistMap;
250 248
      static DistMap *createDistMap(const Digraph &) 
251 249
      {
252 250
	throw UninitializedParameter();
253 251
      }
254 252
    };
255 253
    ///\brief \ref named-templ-param "Named parameter" for setting
256 254
    ///DistMap type
257 255
    ///
258 256
    ///\ref named-templ-param "Named parameter" for setting DistMap type
259 257
    ///
260 258
    template <class T>
261 259
    struct DefDistMap : public Bfs< Digraph, DefDistMapTraits<T> > { 
262 260
      typedef Bfs< Digraph, DefDistMapTraits<T> > Create;
263 261
    };
264 262
    
265 263
    template <class T>
266 264
    struct DefReachedMapTraits : public Traits {
267 265
      typedef T ReachedMap;
268 266
      static ReachedMap *createReachedMap(const Digraph &) 
269 267
      {
270 268
	throw UninitializedParameter();
271 269
      }
272 270
    };
273 271
    ///\brief \ref named-templ-param "Named parameter" for setting
274 272
    ///ReachedMap type
275 273
    ///
276 274
    ///\ref named-templ-param "Named parameter" for setting ReachedMap type
277 275
    ///
278 276
    template <class T>
279 277
    struct DefReachedMap : public Bfs< Digraph, DefReachedMapTraits<T> > { 
280 278
      typedef Bfs< Digraph, DefReachedMapTraits<T> > Create;
281 279
    };
282 280
    
283 281
    template <class T>
284 282
    struct DefProcessedMapTraits : public Traits {
285 283
      typedef T ProcessedMap;
286 284
      static ProcessedMap *createProcessedMap(const Digraph &) 
287 285
      {
288 286
	throw UninitializedParameter();
289 287
      }
290 288
    };
291 289
    ///\brief \ref named-templ-param "Named parameter" for setting
292 290
    ///ProcessedMap type
293 291
    ///
294 292
    ///\ref named-templ-param "Named parameter" for setting ProcessedMap type
295 293
    ///
296 294
    template <class T>
297 295
    struct DefProcessedMap : public Bfs< Digraph, DefProcessedMapTraits<T> > {
298 296
      typedef Bfs< Digraph, DefProcessedMapTraits<T> > Create;
299 297
    };
300 298
    
301 299
    struct DefDigraphProcessedMapTraits : public Traits {
302 300
      typedef typename Digraph::template NodeMap<bool> ProcessedMap;
303 301
      static ProcessedMap *createProcessedMap(const Digraph &G) 
304 302
      {
305 303
	return new ProcessedMap(G);
306 304
      }
307 305
    };
308 306
    ///\brief \ref named-templ-param "Named parameter"
309 307
    ///for setting the ProcessedMap type to be Digraph::NodeMap<bool>.
310 308
    ///
311 309
    ///\ref named-templ-param "Named parameter"
312 310
    ///for setting the ProcessedMap type to be Digraph::NodeMap<bool>.
313 311
    ///If you don't set it explicitly, it will be automatically allocated.
314 312
    template <class T>
315 313
    struct DefProcessedMapToBeDefaultMap :
316 314
      public Bfs< Digraph, DefDigraphProcessedMapTraits> { 
317 315
      typedef Bfs< Digraph, DefDigraphProcessedMapTraits> Create;
318 316
    };
319 317
    
... ...
@@ -567,385 +565,385 @@
567 565
    ///Returns the number of the nodes to be processed.
568 566
    
569 567
    ///Returns the number of the nodes to be processed in the queue.
570 568
    int queueSize() { return _queue_head-_queue_tail; }
571 569
    
572 570
    ///Executes the algorithm.
573 571

	
574 572
    ///Executes the algorithm.
575 573
    ///
576 574
    ///\pre init() must be called and at least one node should be added
577 575
    ///with addSource() before using this function.
578 576
    ///
579 577
    ///This method runs the %BFS algorithm from the root node(s)
580 578
    ///in order to
581 579
    ///compute the
582 580
    ///shortest path to each node. The algorithm computes
583 581
    ///- The shortest path tree.
584 582
    ///- The distance of each node from the root(s).
585 583
    void start()
586 584
    {
587 585
      while ( !emptyQueue() ) processNextNode();
588 586
    }
589 587
    
590 588
    ///Executes the algorithm until \c dest is reached.
591 589

	
592 590
    ///Executes the algorithm until \c dest is reached.
593 591
    ///
594 592
    ///\pre init() must be called and at least one node should be added
595 593
    ///with addSource() before using this function.
596 594
    ///
597 595
    ///This method runs the %BFS algorithm from the root node(s)
598 596
    ///in order to compute the shortest path to \c dest.
599 597
    ///The algorithm computes
600 598
    ///- The shortest path to \c  dest.
601 599
    ///- The distance of \c dest from the root(s).
602 600
    void start(Node dest)
603 601
    {
604 602
      bool reach = false;
605 603
      while ( !emptyQueue() && !reach ) processNextNode(dest, reach);
606 604
    }
607 605
    
608 606
    ///Executes the algorithm until a condition is met.
609 607

	
610 608
    ///Executes the algorithm until a condition is met.
611 609
    ///
612 610
    ///\pre init() must be called and at least one node should be added
613 611
    ///with addSource() before using this function.
614 612
    ///
615 613
    ///\param nm must be a bool (or convertible) node map. The
616 614
    ///algorithm will stop when it reaches a node \c v with
617 615
    /// <tt>nm[v]</tt> true.
618 616
    ///
619 617
    ///\return The reached node \c v with <tt>nm[v]</tt> true or
620 618
    ///\c INVALID if no such node was found.
621 619
    template<class NM>
622 620
    Node start(const NM &nm)
623 621
    {
624 622
      Node rnode = INVALID;
625 623
      while ( !emptyQueue() && rnode == INVALID ) {
626 624
	processNextNode(nm, rnode);
627 625
      }
628 626
      return rnode;
629 627
    }
630 628
    
631 629
    ///Runs %BFS algorithm from node \c s.
632 630
    
633 631
    ///This method runs the %BFS algorithm from a root node \c s
634 632
    ///in order to
635 633
    ///compute the
636 634
    ///shortest path to each node. The algorithm computes
637 635
    ///- The shortest path tree.
638 636
    ///- The distance of each node from the root.
639 637
    ///
640 638
    ///\note b.run(s) is just a shortcut of the following code.
641 639
    ///\code
642 640
    ///  b.init();
643 641
    ///  b.addSource(s);
644 642
    ///  b.start();
645 643
    ///\endcode
646 644
    void run(Node s) {
647 645
      init();
648 646
      addSource(s);
649 647
      start();
650 648
    }
651 649
    
652 650
    ///Finds the shortest path between \c s and \c t.
653 651
    
654 652
    ///Finds the shortest path between \c s and \c t.
655 653
    ///
656 654
    ///\return The length of the shortest s---t path if there exists one,
657 655
    ///0 otherwise.
658 656
    ///\note Apart from the return value, b.run(s) is
659 657
    ///just a shortcut of the following code.
660 658
    ///\code
661 659
    ///  b.init();
662 660
    ///  b.addSource(s);
663 661
    ///  b.start(t);
664 662
    ///\endcode
665 663
    int run(Node s,Node t) {
666 664
      init();
667 665
      addSource(s);
668 666
      start(t);
669 667
      return reached(t) ? _curr_dist : 0;
670 668
    }
671 669
    
672 670
    ///@}
673 671

	
674 672
    ///\name Query Functions
675 673
    ///The result of the %BFS algorithm can be obtained using these
676 674
    ///functions.\n
677 675
    ///Before the use of these functions,
678 676
    ///either run() or start() must be calleb.
679 677
    
680 678
    ///@{
681 679

	
682 680
    typedef PredMapPath<Digraph, PredMap> Path;
683 681

	
684 682
    ///Gives back the shortest path.
685 683
    
686 684
    ///Gives back the shortest path.
687 685
    ///\pre The \c t should be reachable from the source.
688 686
    Path path(Node t) 
689 687
    {
690 688
      return Path(*G, *_pred, t);
691 689
    }
692 690

	
693 691
    ///The distance of a node from the root(s).
694 692

	
695 693
    ///Returns the distance of a node from the root(s).
696 694
    ///\pre \ref run() must be called before using this function.
697 695
    ///\warning If node \c v in unreachable from the root(s) the return value
698 696
    ///of this function is undefined.
699 697
    int dist(Node v) const { return (*_dist)[v]; }
700 698

	
701 699
    ///Returns the 'previous arc' of the shortest path tree.
702 700

	
703 701
    ///For a node \c v it returns the 'previous arc'
704 702
    ///of the shortest path tree,
705 703
    ///i.e. it returns the last arc of a shortest path from the root(s) to \c
706 704
    ///v. It is \ref INVALID
707 705
    ///if \c v is unreachable from the root(s) or \c v is a root. The
708 706
    ///shortest path tree used here is equal to the shortest path tree used in
709 707
    ///\ref predNode().
710 708
    ///\pre Either \ref run() or \ref start() must be called before using
711 709
    ///this function.
712 710
    Arc predArc(Node v) const { return (*_pred)[v];}
713 711

	
714 712
    ///Returns the 'previous node' of the shortest path tree.
715 713

	
716 714
    ///For a node \c v it returns the 'previous node'
717 715
    ///of the shortest path tree,
718 716
    ///i.e. it returns the last but one node from a shortest path from the
719 717
    ///root(a) to \c /v.
720 718
    ///It is INVALID if \c v is unreachable from the root(s) or
721 719
    ///if \c v itself a root.
722 720
    ///The shortest path tree used here is equal to the shortest path
723 721
    ///tree used in \ref predArc().
724 722
    ///\pre Either \ref run() or \ref start() must be called before
725 723
    ///using this function.
726 724
    Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID:
727 725
				  G->source((*_pred)[v]); }
728 726
    
729 727
    ///Returns a reference to the NodeMap of distances.
730 728

	
731 729
    ///Returns a reference to the NodeMap of distances.
732 730
    ///\pre Either \ref run() or \ref init() must
733 731
    ///be called before using this function.
734 732
    const DistMap &distMap() const { return *_dist;}
735 733
 
736 734
    ///Returns a reference to the shortest path tree map.
737 735

	
738 736
    ///Returns a reference to the NodeMap of the arcs of the
739 737
    ///shortest path tree.
740 738
    ///\pre Either \ref run() or \ref init()
741 739
    ///must be called before using this function.
742 740
    const PredMap &predMap() const { return *_pred;}
743 741
 
744 742
    ///Checks if a node is reachable from the root.
745 743

	
746 744
    ///Returns \c true if \c v is reachable from the root.
747 745
    ///\warning The source nodes are indicated as unreached.
748 746
    ///\pre Either \ref run() or \ref start()
749 747
    ///must be called before using this function.
750 748
    ///
751 749
    bool reached(Node v) { return (*_reached)[v]; }
752 750
    
753 751
    ///@}
754 752
  };
755 753

	
756 754
  ///Default traits class of Bfs function.
757 755

	
758 756
  ///Default traits class of Bfs function.
759
  ///\param GR Digraph type.
757
  ///\tparam GR Digraph type.
760 758
  template<class GR>
761 759
  struct BfsWizardDefaultTraits
762 760
  {
763 761
    ///The digraph type the algorithm runs on. 
764 762
    typedef GR Digraph;
765 763
    ///\brief The type of the map that stores the last
766 764
    ///arcs of the shortest paths.
767 765
    /// 
768 766
    ///The type of the map that stores the last
769 767
    ///arcs of the shortest paths.
770 768
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
771 769
    ///
772 770
    typedef NullMap<typename Digraph::Node,typename GR::Arc> PredMap;
773 771
    ///Instantiates a PredMap.
774 772
 
775 773
    ///This function instantiates a \ref PredMap. 
776 774
    ///\param g is the digraph, to which we would like to define the PredMap.
777 775
    ///\todo The digraph alone may be insufficient to initialize
778 776
#ifdef DOXYGEN
779 777
    static PredMap *createPredMap(const GR &g) 
780 778
#else
781 779
    static PredMap *createPredMap(const GR &) 
782 780
#endif
783 781
    {
784 782
      return new PredMap();
785 783
    }
786 784

	
787 785
    ///The type of the map that indicates which nodes are processed.
788 786
 
789 787
    ///The type of the map that indicates which nodes are processed.
790 788
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
791 789
    ///\todo named parameter to set this type, function to read and write.
792 790
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
793 791
    ///Instantiates a ProcessedMap.
794 792
 
795 793
    ///This function instantiates a \ref ProcessedMap. 
796 794
    ///\param g is the digraph, to which
797 795
    ///we would like to define the \ref ProcessedMap
798 796
#ifdef DOXYGEN
799 797
    static ProcessedMap *createProcessedMap(const GR &g)
800 798
#else
801 799
    static ProcessedMap *createProcessedMap(const GR &)
802 800
#endif
803 801
    {
804 802
      return new ProcessedMap();
805 803
    }
806 804
    ///The type of the map that indicates which nodes are reached.
807 805
 
808 806
    ///The type of the map that indicates which nodes are reached.
809 807
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
810 808
    ///\todo named parameter to set this type, function to read and write.
811 809
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
812 810
    ///Instantiates a ReachedMap.
813 811
 
814 812
    ///This function instantiates a \ref ReachedMap. 
815 813
    ///\param G is the digraph, to which
816 814
    ///we would like to define the \ref ReachedMap.
817 815
    static ReachedMap *createReachedMap(const GR &G)
818 816
    {
819 817
      return new ReachedMap(G);
820 818
    }
821 819
    ///The type of the map that stores the dists of the nodes.
822 820
 
823 821
    ///The type of the map that stores the dists of the nodes.
824 822
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
825 823
    ///
826 824
    typedef NullMap<typename Digraph::Node,int> DistMap;
827 825
    ///Instantiates a DistMap.
828 826
 
829 827
    ///This function instantiates a \ref DistMap. 
830 828
    ///\param g is the digraph, to which we would like to define the \ref DistMap
831 829
#ifdef DOXYGEN
832 830
    static DistMap *createDistMap(const GR &g)
833 831
#else
834 832
    static DistMap *createDistMap(const GR &)
835 833
#endif
836 834
    {
837 835
      return new DistMap();
838 836
    }
839 837
  };
840 838
  
841 839
  /// Default traits used by \ref BfsWizard
842 840

	
843 841
  /// To make it easier to use Bfs algorithm
844 842
  ///we have created a wizard class.
845 843
  /// This \ref BfsWizard class needs default traits,
846 844
  ///as well as the \ref Bfs class.
847 845
  /// The \ref BfsWizardBase is a class to be the default traits of the
848 846
  /// \ref BfsWizard class.
849 847
  template<class GR>
850 848
  class BfsWizardBase : public BfsWizardDefaultTraits<GR>
851 849
  {
852 850

	
853 851
    typedef BfsWizardDefaultTraits<GR> Base;
854 852
  protected:
855 853
    /// Type of the nodes in the digraph.
856 854
    typedef typename Base::Digraph::Node Node;
857 855

	
858 856
    /// Pointer to the underlying digraph.
859 857
    void *_g;
860 858
    ///Pointer to the map of reached nodes.
861 859
    void *_reached;
862 860
    ///Pointer to the map of processed nodes.
863 861
    void *_processed;
864 862
    ///Pointer to the map of predecessors arcs.
865 863
    void *_pred;
866 864
    ///Pointer to the map of distances.
867 865
    void *_dist;
868 866
    ///Pointer to the source node.
869 867
    Node _source;
870 868
    
871 869
    public:
872 870
    /// Constructor.
873 871
    
874 872
    /// This constructor does not require parameters, therefore it initiates
875 873
    /// all of the attributes to default values (0, INVALID).
876 874
    BfsWizardBase() : _g(0), _reached(0), _processed(0), _pred(0),
877 875
			   _dist(0), _source(INVALID) {}
878 876

	
879 877
    /// Constructor.
880 878
    
881 879
    /// This constructor requires some parameters,
882 880
    /// listed in the parameters list.
883 881
    /// Others are initiated to 0.
884 882
    /// \param g is the initial value of  \ref _g
885 883
    /// \param s is the initial value of  \ref _source
886 884
    BfsWizardBase(const GR &g, Node s=INVALID) :
887 885
      _g(reinterpret_cast<void*>(const_cast<GR*>(&g))), 
888 886
      _reached(0), _processed(0), _pred(0), _dist(0), _source(s) {}
889 887

	
890 888
  };
891 889
  
892 890
  /// A class to make the usage of Bfs algorithm easier
893 891

	
894 892
  /// This class is created to make it easier to use Bfs algorithm.
895 893
  /// It uses the functions and features of the plain \ref Bfs,
896 894
  /// but it is much simpler to use it.
897 895
  ///
898 896
  /// Simplicity means that the way to change the types defined
899 897
  /// in the traits class is based on functions that returns the new class
900 898
  /// and not on templatable built-in classes.
901 899
  /// When using the plain \ref Bfs
902 900
  /// the new class with the modified type comes from
903 901
  /// the original class by using the ::
904 902
  /// operator. In the case of \ref BfsWizard only
905 903
  /// a function have to be called and it will
906 904
  /// return the needed class.
907 905
  ///
908 906
  /// It does not have own \ref run method. When its \ref run method is called
909 907
  /// it initiates a plain \ref Bfs class, and calls the \ref Bfs::run
910 908
  /// method of it.
911 909
  template<class TR>
912 910
  class BfsWizard : public TR
913 911
  {
914 912
    typedef TR Base;
915 913

	
916 914
    ///The type of the underlying digraph.
917 915
    typedef typename TR::Digraph Digraph;
918 916
    //\e
919 917
    typedef typename Digraph::Node Node;
920 918
    //\e
921 919
    typedef typename Digraph::NodeIt NodeIt;
922 920
    //\e
923 921
    typedef typename Digraph::Arc Arc;
924 922
    //\e
925 923
    typedef typename Digraph::OutArcIt OutArcIt;
926 924
    
927 925
    ///\brief The type of the map that stores
928 926
    ///the reached nodes
929 927
    typedef typename TR::ReachedMap ReachedMap;
930 928
    ///\brief The type of the map that stores
931 929
    ///the processed nodes
932 930
    typedef typename TR::ProcessedMap ProcessedMap;
933 931
    ///\brief The type of the map that stores the last
934 932
    ///arcs of the shortest paths.
935 933
    typedef typename TR::PredMap PredMap;
936 934
    ///The type of the map that stores the dists of the nodes.
937 935
    typedef typename TR::DistMap DistMap;
938 936

	
939 937
  public:
940 938
    /// Constructor.
941 939
    BfsWizard() : TR() {}
942 940

	
943 941
    /// Constructor that requires parameters.
944 942

	
945 943
    /// Constructor that requires parameters.
946 944
    /// These parameters will be the default values for the traits class.
947 945
    BfsWizard(const Digraph &g, Node s=INVALID) :
948 946
      TR(g,s) {}
949 947

	
950 948
    ///Copy constructor
951 949
    BfsWizard(const TR &b) : TR(b) {}
... ...
@@ -976,434 +974,432 @@
976 974
    ///Runs Bfs algorithm from the given node.
977 975
    ///\param s is the given source.
978 976
    void run(Node s)
979 977
    {
980 978
      Base::_source=s;
981 979
      run();
982 980
    }
983 981

	
984 982
    template<class T>
985 983
    struct DefPredMapBase : public Base {
986 984
      typedef T PredMap;
987 985
      static PredMap *createPredMap(const Digraph &) { return 0; };
988 986
      DefPredMapBase(const TR &b) : TR(b) {}
989 987
    };
990 988
    
991 989
    ///\brief \ref named-templ-param "Named parameter"
992 990
    ///function for setting PredMap
993 991
    ///
994 992
    /// \ref named-templ-param "Named parameter"
995 993
    ///function for setting PredMap
996 994
    ///
997 995
    template<class T>
998 996
    BfsWizard<DefPredMapBase<T> > predMap(const T &t) 
999 997
    {
1000 998
      Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t));
1001 999
      return BfsWizard<DefPredMapBase<T> >(*this);
1002 1000
    }
1003 1001
    
1004 1002
 
1005 1003
    template<class T>
1006 1004
    struct DefReachedMapBase : public Base {
1007 1005
      typedef T ReachedMap;
1008 1006
      static ReachedMap *createReachedMap(const Digraph &) { return 0; };
1009 1007
      DefReachedMapBase(const TR &b) : TR(b) {}
1010 1008
    };
1011 1009
    
1012 1010
    ///\brief \ref named-templ-param "Named parameter"
1013 1011
    ///function for setting ReachedMap
1014 1012
    ///
1015 1013
    /// \ref named-templ-param "Named parameter"
1016 1014
    ///function for setting ReachedMap
1017 1015
    ///
1018 1016
    template<class T>
1019 1017
    BfsWizard<DefReachedMapBase<T> > reachedMap(const T &t) 
1020 1018
    {
1021 1019
      Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t));
1022 1020
      return BfsWizard<DefReachedMapBase<T> >(*this);
1023 1021
    }
1024 1022
    
1025 1023

	
1026 1024
    template<class T>
1027 1025
    struct DefProcessedMapBase : public Base {
1028 1026
      typedef T ProcessedMap;
1029 1027
      static ProcessedMap *createProcessedMap(const Digraph &) { return 0; };
1030 1028
      DefProcessedMapBase(const TR &b) : TR(b) {}
1031 1029
    };
1032 1030
    
1033 1031
    ///\brief \ref named-templ-param "Named parameter"
1034 1032
    ///function for setting ProcessedMap
1035 1033
    ///
1036 1034
    /// \ref named-templ-param "Named parameter"
1037 1035
    ///function for setting ProcessedMap
1038 1036
    ///
1039 1037
    template<class T>
1040 1038
    BfsWizard<DefProcessedMapBase<T> > processedMap(const T &t) 
1041 1039
    {
1042 1040
      Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t));
1043 1041
      return BfsWizard<DefProcessedMapBase<T> >(*this);
1044 1042
    }
1045 1043
    
1046 1044
   
1047 1045
    template<class T>
1048 1046
    struct DefDistMapBase : public Base {
1049 1047
      typedef T DistMap;
1050 1048
      static DistMap *createDistMap(const Digraph &) { return 0; };
1051 1049
      DefDistMapBase(const TR &b) : TR(b) {}
1052 1050
    };
1053 1051
    
1054 1052
    ///\brief \ref named-templ-param "Named parameter"
1055 1053
    ///function for setting DistMap type
1056 1054
    ///
1057 1055
    /// \ref named-templ-param "Named parameter"
1058 1056
    ///function for setting DistMap type
1059 1057
    ///
1060 1058
    template<class T>
1061 1059
    BfsWizard<DefDistMapBase<T> > distMap(const T &t) 
1062 1060
    {
1063 1061
      Base::_dist=reinterpret_cast<void*>(const_cast<T*>(&t));
1064 1062
      return BfsWizard<DefDistMapBase<T> >(*this);
1065 1063
    }
1066 1064
    
1067 1065
    /// Sets the source node, from which the Bfs algorithm runs.
1068 1066

	
1069 1067
    /// Sets the source node, from which the Bfs algorithm runs.
1070 1068
    /// \param s is the source node.
1071 1069
    BfsWizard<TR> &source(Node s) 
1072 1070
    {
1073 1071
      Base::_source=s;
1074 1072
      return *this;
1075 1073
    }
1076 1074
    
1077 1075
  };
1078 1076
  
1079 1077
  ///Function type interface for Bfs algorithm.
1080 1078

	
1081 1079
  /// \ingroup search
1082 1080
  ///Function type interface for Bfs algorithm.
1083 1081
  ///
1084 1082
  ///This function also has several
1085 1083
  ///\ref named-templ-func-param "named parameters",
1086 1084
  ///they are declared as the members of class \ref BfsWizard.
1087 1085
  ///The following
1088 1086
  ///example shows how to use these parameters.
1089 1087
  ///\code
1090 1088
  ///  bfs(g,source).predMap(preds).run();
1091 1089
  ///\endcode
1092 1090
  ///\warning Don't forget to put the \ref BfsWizard::run() "run()"
1093 1091
  ///to the end of the parameter list.
1094 1092
  ///\sa BfsWizard
1095 1093
  ///\sa Bfs
1096 1094
  template<class GR>
1097 1095
  BfsWizard<BfsWizardBase<GR> >
1098 1096
  bfs(const GR &g,typename GR::Node s=INVALID)
1099 1097
  {
1100 1098
    return BfsWizard<BfsWizardBase<GR> >(g,s);
1101 1099
  }
1102 1100

	
1103 1101
#ifdef DOXYGEN
1104 1102
  /// \brief Visitor class for bfs.
1105 1103
  ///  
1106 1104
  /// This class defines the interface of the BfsVisit events, and
1107 1105
  /// it could be the base of a real Visitor class.
1108 1106
  template <typename _Digraph>
1109 1107
  struct BfsVisitor {
1110 1108
    typedef _Digraph Digraph;
1111 1109
    typedef typename Digraph::Arc Arc;
1112 1110
    typedef typename Digraph::Node Node;
1113 1111
    /// \brief Called when the arc reach a node.
1114 1112
    /// 
1115 1113
    /// It is called when the bfs find an arc which target is not
1116 1114
    /// reached yet.
1117 1115
    void discover(const Arc& arc) {}
1118 1116
    /// \brief Called when the node reached first time.
1119 1117
    /// 
1120 1118
    /// It is Called when the node reached first time.
1121 1119
    void reach(const Node& node) {}
1122 1120
    /// \brief Called when the arc examined but target of the arc 
1123 1121
    /// already discovered.
1124 1122
    /// 
1125 1123
    /// It called when the arc examined but the target of the arc 
1126 1124
    /// already discovered.
1127 1125
    void examine(const Arc& arc) {}
1128 1126
    /// \brief Called for the source node of the bfs.
1129 1127
    /// 
1130 1128
    /// It is called for the source node of the bfs.
1131 1129
    void start(const Node& node) {}
1132 1130
    /// \brief Called when the node processed.
1133 1131
    /// 
1134 1132
    /// It is Called when the node processed.
1135 1133
    void process(const Node& node) {}
1136 1134
  };
1137 1135
#else
1138 1136
  template <typename _Digraph>
1139 1137
  struct BfsVisitor {
1140 1138
    typedef _Digraph Digraph;
1141 1139
    typedef typename Digraph::Arc Arc;
1142 1140
    typedef typename Digraph::Node Node;
1143 1141
    void discover(const Arc&) {}
1144 1142
    void reach(const Node&) {}
1145 1143
    void examine(const Arc&) {}
1146 1144
    void start(const Node&) {}
1147 1145
    void process(const Node&) {}
1148 1146

	
1149 1147
    template <typename _Visitor>
1150 1148
    struct Constraints {
1151 1149
      void constraints() {
1152 1150
	Arc arc;
1153 1151
	Node node;
1154 1152
	visitor.discover(arc);
1155 1153
	visitor.reach(node);
1156 1154
	visitor.examine(arc);
1157 1155
	visitor.start(node);
1158 1156
        visitor.process(node);
1159 1157
      }
1160 1158
      _Visitor& visitor;
1161 1159
    };
1162 1160
  };
1163 1161
#endif
1164 1162

	
1165 1163
  /// \brief Default traits class of BfsVisit class.
1166 1164
  ///
1167 1165
  /// Default traits class of BfsVisit class.
1168
  /// \param _Digraph Digraph type.
1166
  /// \tparam _Digraph Digraph type.
1169 1167
  template<class _Digraph>
1170 1168
  struct BfsVisitDefaultTraits {
1171 1169

	
1172 1170
    /// \brief The digraph type the algorithm runs on. 
1173 1171
    typedef _Digraph Digraph;
1174 1172

	
1175 1173
    /// \brief The type of the map that indicates which nodes are reached.
1176 1174
    /// 
1177 1175
    /// The type of the map that indicates which nodes are reached.
1178 1176
    /// It must meet the \ref concepts::WriteMap "WriteMap" concept.
1179 1177
    /// \todo named parameter to set this type, function to read and write.
1180 1178
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
1181 1179

	
1182 1180
    /// \brief Instantiates a ReachedMap.
1183 1181
    ///
1184 1182
    /// This function instantiates a \ref ReachedMap. 
1185 1183
    /// \param digraph is the digraph, to which
1186 1184
    /// we would like to define the \ref ReachedMap.
1187 1185
    static ReachedMap *createReachedMap(const Digraph &digraph) {
1188 1186
      return new ReachedMap(digraph);
1189 1187
    }
1190 1188

	
1191 1189
  };
1192 1190

	
1193 1191
  /// \ingroup search
1194 1192
  ///  
1195 1193
  /// \brief %BFS Visit algorithm class.
1196 1194
  ///  
1197 1195
  /// This class provides an efficient implementation of the %BFS algorithm
1198 1196
  /// with visitor interface.
1199 1197
  ///
1200 1198
  /// The %BfsVisit class provides an alternative interface to the Bfs
1201 1199
  /// class. It works with callback mechanism, the BfsVisit object calls
1202 1200
  /// on every bfs event the \c Visitor class member functions. 
1203 1201
  ///
1204
  /// \param _Digraph The digraph type the algorithm runs on. The default value is
1202
  /// \tparam _Digraph The digraph type the algorithm runs on. The default value is
1205 1203
  /// \ref ListDigraph. The value of _Digraph is not used directly by Bfs, it
1206 1204
  /// is only passed to \ref BfsDefaultTraits.
1207
  /// \param _Visitor The Visitor object for the algorithm. The 
1205
  /// \tparam _Visitor The Visitor object for the algorithm. The 
1208 1206
  /// \ref BfsVisitor "BfsVisitor<_Digraph>" is an empty Visitor which
1209 1207
  /// does not observe the Bfs events. If you want to observe the bfs
1210 1208
  /// events you should implement your own Visitor class.
1211
  /// \param _Traits Traits class to set various data types used by the 
1209
  /// \tparam _Traits Traits class to set various data types used by the 
1212 1210
  /// algorithm. The default traits class is
1213 1211
  /// \ref BfsVisitDefaultTraits "BfsVisitDefaultTraits<_Digraph>".
1214 1212
  /// See \ref BfsVisitDefaultTraits for the documentation of
1215 1213
  /// a Bfs visit traits class.
1216
  ///
1217
  /// \author Jacint Szabo, Alpar Juttner and Balazs Dezso
1218 1214
#ifdef DOXYGEN
1219 1215
  template <typename _Digraph, typename _Visitor, typename _Traits>
1220 1216
#else
1221 1217
  template <typename _Digraph = ListDigraph,
1222 1218
	    typename _Visitor = BfsVisitor<_Digraph>,
1223 1219
	    typename _Traits = BfsDefaultTraits<_Digraph> >
1224 1220
#endif
1225 1221
  class BfsVisit {
1226 1222
  public:
1227 1223
    
1228 1224
    /// \brief \ref Exception for uninitialized parameters.
1229 1225
    ///
1230 1226
    /// This error represents problems in the initialization
1231 1227
    /// of the parameters of the algorithms.
1232 1228
    class UninitializedParameter : public lemon::UninitializedParameter {
1233 1229
    public:
1234 1230
      virtual const char* what() const throw() 
1235 1231
      {
1236 1232
	return "lemon::BfsVisit::UninitializedParameter";
1237 1233
      }
1238 1234
    };
1239 1235

	
1240 1236
    typedef _Traits Traits;
1241 1237

	
1242 1238
    typedef typename Traits::Digraph Digraph;
1243 1239

	
1244 1240
    typedef _Visitor Visitor;
1245 1241

	
1246 1242
    ///The type of the map indicating which nodes are reached.
1247 1243
    typedef typename Traits::ReachedMap ReachedMap;
1248 1244

	
1249 1245
  private:
1250 1246

	
1251 1247
    typedef typename Digraph::Node Node;
1252 1248
    typedef typename Digraph::NodeIt NodeIt;
1253 1249
    typedef typename Digraph::Arc Arc;
1254 1250
    typedef typename Digraph::OutArcIt OutArcIt;
1255 1251

	
1256 1252
    /// Pointer to the underlying digraph.
1257 1253
    const Digraph *_digraph;
1258 1254
    /// Pointer to the visitor object.
1259 1255
    Visitor *_visitor;
1260 1256
    ///Pointer to the map of reached status of the nodes.
1261 1257
    ReachedMap *_reached;
1262 1258
    ///Indicates if \ref _reached is locally allocated (\c true) or not.
1263 1259
    bool local_reached;
1264 1260

	
1265 1261
    std::vector<typename Digraph::Node> _list;
1266 1262
    int _list_front, _list_back;
1267 1263

	
1268 1264
    /// \brief Creates the maps if necessary.
1269 1265
    ///
1270 1266
    /// Creates the maps if necessary.
1271 1267
    void create_maps() {
1272 1268
      if(!_reached) {
1273 1269
	local_reached = true;
1274 1270
	_reached = Traits::createReachedMap(*_digraph);
1275 1271
      }
1276 1272
    }
1277 1273

	
1278 1274
  protected:
1279 1275

	
1280 1276
    BfsVisit() {}
1281 1277
    
1282 1278
  public:
1283 1279

	
1284 1280
    typedef BfsVisit Create;
1285 1281

	
1286 1282
    /// \name Named template parameters
1287 1283

	
1288 1284
    ///@{
1289 1285
    template <class T>
1290 1286
    struct DefReachedMapTraits : public Traits {
1291 1287
      typedef T ReachedMap;
1292 1288
      static ReachedMap *createReachedMap(const Digraph &digraph) {
1293 1289
	throw UninitializedParameter();
1294 1290
      }
1295 1291
    };
1296 1292
    /// \brief \ref named-templ-param "Named parameter" for setting 
1297 1293
    /// ReachedMap type
1298 1294
    ///
1299 1295
    /// \ref named-templ-param "Named parameter" for setting ReachedMap type
1300 1296
    template <class T>
1301 1297
    struct DefReachedMap : public BfsVisit< Digraph, Visitor,
1302 1298
					    DefReachedMapTraits<T> > {
1303 1299
      typedef BfsVisit< Digraph, Visitor, DefReachedMapTraits<T> > Create;
1304 1300
    };
1305 1301
    ///@}
1306 1302

	
1307 1303
  public:      
1308 1304
    
1309 1305
    /// \brief Constructor.
1310 1306
    ///
1311 1307
    /// Constructor.
1312 1308
    ///
1313 1309
    /// \param digraph the digraph the algorithm will run on.
1314 1310
    /// \param visitor The visitor of the algorithm.
1315 1311
    ///
1316 1312
    BfsVisit(const Digraph& digraph, Visitor& visitor) 
1317 1313
      : _digraph(&digraph), _visitor(&visitor),
1318 1314
	_reached(0), local_reached(false) {}
1319 1315
    
1320 1316
    /// \brief Destructor.
1321 1317
    ///
1322 1318
    /// Destructor.
1323 1319
    ~BfsVisit() {
1324 1320
      if(local_reached) delete _reached;
1325 1321
    }
1326 1322

	
1327 1323
    /// \brief Sets the map indicating if a node is reached.
1328 1324
    ///
1329 1325
    /// Sets the map indicating if a node is reached.
1330 1326
    /// If you don't use this function before calling \ref run(),
1331 1327
    /// it will allocate one. The destuctor deallocates this
1332 1328
    /// automatically allocated map, of course.
1333 1329
    /// \return <tt> (*this) </tt>
1334 1330
    BfsVisit &reachedMap(ReachedMap &m) {
1335 1331
      if(local_reached) {
1336 1332
	delete _reached;
1337 1333
	local_reached = false;
1338 1334
      }
1339 1335
      _reached = &m;
1340 1336
      return *this;
1341 1337
    }
1342 1338

	
1343 1339
  public:
1344 1340
    /// \name Execution control
1345 1341
    /// The simplest way to execute the algorithm is to use
1346 1342
    /// one of the member functions called \c run(...).
1347 1343
    /// \n
1348 1344
    /// If you need more control on the execution,
1349 1345
    /// first you must call \ref init(), then you can adda source node
1350 1346
    /// with \ref addSource().
1351 1347
    /// Finally \ref start() will perform the actual path
1352 1348
    /// computation.
1353 1349

	
1354 1350
    /// @{
1355 1351
    /// \brief Initializes the internal data structures.
1356 1352
    ///
1357 1353
    /// Initializes the internal data structures.
1358 1354
    ///
1359 1355
    void init() {
1360 1356
      create_maps();
1361 1357
      _list.resize(countNodes(*_digraph));
1362 1358
      _list_front = _list_back = -1;
1363 1359
      for (NodeIt u(*_digraph) ; u != INVALID ; ++u) {
1364 1360
	_reached->set(u, false);
1365 1361
      }
1366 1362
    }
1367 1363
    
1368 1364
    /// \brief Adds a new source node.
1369 1365
    ///
1370 1366
    /// Adds a new source node to the set of nodes to be processed.
1371 1367
    void addSource(Node s) {
1372 1368
      if(!(*_reached)[s]) {
1373 1369
	  _reached->set(s,true);
1374 1370
	  _visitor->start(s);
1375 1371
	  _visitor->reach(s);
1376 1372
          _list[++_list_back] = s;
1377 1373
	}
1378 1374
    }
1379 1375
    
1380 1376
    /// \brief Processes the next node.
1381 1377
    ///
1382 1378
    /// Processes the next node.
1383 1379
    ///
1384 1380
    /// \return The processed node.
1385 1381
    ///
1386 1382
    /// \pre The queue must not be empty!
1387 1383
    Node processNextNode() { 
1388 1384
      Node n = _list[++_list_front];
1389 1385
      _visitor->process(n);
1390 1386
      Arc e;
1391 1387
      for (_digraph->firstOut(e, n); e != INVALID; _digraph->nextOut(e)) {
1392 1388
        Node m = _digraph->target(e);
1393 1389
        if (!(*_reached)[m]) {
1394 1390
          _visitor->discover(e);
1395 1391
          _visitor->reach(m);
1396 1392
          _reached->set(m, true);
1397 1393
          _list[++_list_back] = m;
1398 1394
        } else {
1399 1395
          _visitor->examine(e);
1400 1396
        }
1401 1397
      }
1402 1398
      return n;
1403 1399
    }
1404 1400

	
1405 1401
    /// \brief Processes the next node.
1406 1402
    ///
1407 1403
    /// Processes the next node. And checks that the given target node
1408 1404
    /// is reached. If the target node is reachable from the processed
1409 1405
    /// node then the reached parameter will be set true. The reached
Ignore white space 6 line context
1 1
/* -*- C++ -*-
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_BIN_HEAP_H
20 20
#define LEMON_BIN_HEAP_H
21 21

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

	
26 26
#include <vector>
27 27
#include <utility>
28 28
#include <functional>
29 29

	
30 30
namespace lemon {
31 31

	
32 32
  ///\ingroup auxdat
33 33
  ///
34 34
  ///\brief A Binary Heap implementation.
35 35
  ///
36 36
  ///This class implements the \e binary \e heap data structure. A \e heap
37 37
  ///is a data structure for storing items with specified values called \e
38 38
  ///priorities in such a way that finding the item with minimum priority is
39 39
  ///efficient. \c Compare specifies the ordering of the priorities. In a heap
40 40
  ///one can change the priority of an item, add or erase an item, etc.
41 41
  ///
42
  ///\param _Prio Type of the priority of the items.
43
  ///\param _ItemIntMap A read and writable Item int map, used internally
42
  ///\tparam _Prio Type of the priority of the items.
43
  ///\tparam _ItemIntMap A read and writable Item int map, used internally
44 44
  ///to handle the cross references.
45
  ///\param _Compare A class for the ordering of the priorities. The
45
  ///\tparam _Compare A class for the ordering of the priorities. The
46 46
  ///default is \c std::less<_Prio>.
47 47
  ///
48 48
  ///\sa FibHeap
49 49
  ///\sa Dijkstra
50 50
  template <typename _Prio, typename _ItemIntMap,
51 51
	    typename _Compare = std::less<_Prio> >
52 52
  class BinHeap {
53 53

	
54 54
  public:
55 55
    ///\e
56 56
    typedef _ItemIntMap ItemIntMap;
57 57
    ///\e
58 58
    typedef _Prio Prio;
59 59
    ///\e
60 60
    typedef typename ItemIntMap::Key Item;
61 61
    ///\e
62 62
    typedef std::pair<Item,Prio> Pair;
63 63
    ///\e
64 64
    typedef _Compare Compare;
65 65

	
66 66
    /// \brief Type to represent the items states.
67 67
    ///
68 68
    /// Each Item element have a state associated to it. It may be "in heap",
69 69
    /// "pre heap" or "post heap". The latter two are indifferent from the
70 70
    /// heap's point of view, but may be useful to the user.
71 71
    ///
72 72
    /// The ItemIntMap \e should be initialized in such way that it maps
73 73
    /// PRE_HEAP (-1) to any element to be put in the heap...
74 74
    enum State {
75 75
      IN_HEAP = 0,
76 76
      PRE_HEAP = -1,
77 77
      POST_HEAP = -2
78 78
    };
79 79

	
80 80
  private:
81 81
    std::vector<Pair> data;
82 82
    Compare comp;
83 83
    ItemIntMap &iim;
84 84

	
85 85
  public:
86 86
    /// \brief The constructor.
87 87
    ///
88 88
    /// The constructor.
89 89
    /// \param _iim should be given to the constructor, since it is used
90 90
    /// internally to handle the cross references. The value of the map
91 91
    /// should be PRE_HEAP (-1) for each element.
92 92
    explicit BinHeap(ItemIntMap &_iim) : iim(_iim) {}
93 93
    
94 94
    /// \brief The constructor.
95 95
    ///
96 96
    /// The constructor.
97 97
    /// \param _iim should be given to the constructor, since it is used
98 98
    /// internally to handle the cross references. The value of the map
99 99
    /// should be PRE_HEAP (-1) for each element.
100 100
    ///
101 101
    /// \param _comp The comparator function object.
102 102
    BinHeap(ItemIntMap &_iim, const Compare &_comp) 
103 103
      : iim(_iim), comp(_comp) {}
104 104

	
105 105

	
106 106
    /// The number of items stored in the heap.
107 107
    ///
108 108
    /// \brief Returns the number of items stored in the heap.
109 109
    int size() const { return data.size(); }
110 110
    
111 111
    /// \brief Checks if the heap stores no items.
112 112
    ///
113 113
    /// Returns \c true if and only if the heap stores no items.
114 114
    bool empty() const { return data.empty(); }
115 115

	
116 116
    /// \brief Make empty this heap.
117 117
    /// 
118 118
    /// Make empty this heap. It does not change the cross reference map.
119 119
    /// If you want to reuse what is not surely empty you should first clear
120 120
    /// the heap and after that you should set the cross reference map for
121 121
    /// each item to \c PRE_HEAP.
122 122
    void clear() { 
123 123
      data.clear(); 
124 124
    }
125 125

	
126 126
  private:
127 127
    static int parent(int i) { return (i-1)/2; }
128 128

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

	
134 134
    int bubble_up(int hole, Pair p) {
135 135
      int par = parent(hole);
136 136
      while( hole>0 && less(p,data[par]) ) {
137 137
	move(data[par],hole);
138 138
	hole = par;
139 139
	par = parent(hole);
140 140
      }
141 141
      move(p, hole);
142 142
      return hole;
143 143
    }
144 144

	
145 145
    int bubble_down(int hole, Pair p, int length) {
146 146
      int child = second_child(hole);
147 147
      while(child < length) {
148 148
	if( less(data[child-1], data[child]) ) {
149 149
	  --child;
150 150
	}
151 151
	if( !less(data[child], p) )
152 152
	  goto ok;
153 153
	move(data[child], hole);
154 154
	hole = child;
155 155
	child = second_child(hole);
156 156
      }
157 157
      child--;
158 158
      if( child<length && less(data[child], p) ) {
159 159
	move(data[child], hole);
160 160
	hole=child;
161 161
      }
162 162
    ok:
163 163
      move(p, hole);
164 164
      return hole;
165 165
    }
166 166

	
167 167
    void move(const Pair &p, int i) {
168 168
      data[i] = p;
169 169
      iim.set(p.first, i);
170 170
    }
171 171

	
172 172
  public:
173 173
    /// \brief Insert a pair of item and priority into the heap.
174 174
    ///
175 175
    /// Adds \c p.first to the heap with priority \c p.second.
176 176
    /// \param p The pair to insert.
177 177
    void push(const Pair &p) {
178 178
      int n = data.size();
179 179
      data.resize(n+1);
180 180
      bubble_up(n, p);
181 181
    }
182 182

	
183 183
    /// \brief Insert an item into the heap with the given heap.
184 184
    ///    
185 185
    /// Adds \c i to the heap with priority \c p. 
186 186
    /// \param i The item to insert.
187 187
    /// \param p The priority of the item.
188 188
    void push(const Item &i, const Prio &p) { push(Pair(i,p)); }
189 189

	
190 190
    /// \brief Returns the item with minimum priority relative to \c Compare.
191 191
    ///
192 192
    /// This method returns the item with minimum priority relative to \c
193 193
    /// Compare.  
194 194
    /// \pre The heap must be nonempty.  
195 195
    Item top() const {
196 196
      return data[0].first;
197 197
    }
198 198

	
199 199
    /// \brief Returns the minimum priority relative to \c Compare.
200 200
    ///
201 201
    /// It returns the minimum priority relative to \c Compare.
202 202
    /// \pre The heap must be nonempty.
203 203
    Prio prio() const {
204 204
      return data[0].second;
205 205
    }
206 206

	
207 207
    /// \brief Deletes the item with minimum priority relative to \c Compare.
208 208
    ///
209 209
    /// This method deletes the item with minimum priority relative to \c
210 210
    /// Compare from the heap.  
211 211
    /// \pre The heap must be non-empty.  
212 212
    void pop() {
213 213
      int n = data.size()-1;
214 214
      iim.set(data[0].first, POST_HEAP);
215 215
      if (n > 0) {
216 216
	bubble_down(0, data[n], n);
217 217
      }
218 218
      data.pop_back();
219 219
    }
220 220

	
221 221
    /// \brief Deletes \c i from the heap.
222 222
    ///
223 223
    /// This method deletes item \c i from the heap.
224 224
    /// \param i The item to erase.
225 225
    /// \pre The item should be in the heap.
226 226
    void erase(const Item &i) {
227 227
      int h = iim[i];
228 228
      int n = data.size()-1;
229 229
      iim.set(data[h].first, POST_HEAP);
230 230
      if( h < n ) {
231 231
	if ( bubble_up(h, data[n]) == h) {
232 232
	  bubble_down(h, data[n], n);
233 233
	}
234 234
      }
235 235
      data.pop_back();
236 236
    }
237 237

	
Ignore white space 6 line context
1 1
/* -*- C++ -*-
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_BITS_ALTERATION_NOTIFIER_H
20 20
#define LEMON_BITS_ALTERATION_NOTIFIER_H
21 21

	
22 22
#include <vector>
23 23
#include <list>
24 24

	
25 25
#include <lemon/bits/utility.h>
26 26

	
27 27
///\ingroup graphbits
28 28
///\file
29 29
///\brief Observer notifier for graph alteration observers.
30 30

	
31 31
namespace lemon {
32 32

	
33 33
  /// \ingroup graphbits
34 34
  ///
35 35
  /// \brief Notifier class to notify observes about alterations in 
36 36
  /// a container.
37 37
  ///
38 38
  /// The simple graph's can be refered as two containers, one node container
39 39
  /// and one edge container. But they are not standard containers they
40 40
  /// does not store values directly they are just key continars for more
41 41
  /// value containers which are the node and edge maps.
42 42
  ///
43 43
  /// The graph's node and edge sets can be changed as we add or erase
44 44
  /// nodes and edges in the graph. Lemon would like to handle easily
45 45
  /// that the node and edge maps should contain values for all nodes or
46 46
  /// edges. If we want to check on every indicing if the map contains
47 47
  /// the current indicing key that cause a drawback in the performance
48 48
  /// in the library. We use another solution we notify all maps about
49 49
  /// an alteration in the graph, which cause only drawback on the
50 50
  /// alteration of the graph.
51 51
  ///
52 52
  /// This class provides an interface to the container. The \e first() and \e 
53 53
  /// next() member functions make possible to iterate on the keys of the
54 54
  /// container. The \e id() function returns an integer id for each key.
55 55
  /// The \e maxId() function gives back an upper bound of the ids.
56 56
  ///
57 57
  /// For the proper functonality of this class, we should notify it
58 58
  /// about each alteration in the container. The alterations have four type
59 59
  /// as \e add(), \e erase(), \e build() and \e clear(). The \e add() and
60 60
  /// \e erase() signals that only one or few items added or erased to or
61 61
  /// from the graph. If all items are erased from the graph or from an empty
62 62
  /// graph a new graph is builded then it can be signaled with the
63 63
  /// clear() and build() members. Important rule that if we erase items 
64 64
  /// from graph we should first signal the alteration and after that erase
65 65
  /// them from the container, on the other way on item addition we should
66 66
  /// first extend the container and just after that signal the alteration.
67 67
  ///
68 68
  /// The alteration can be observed with a class inherited from the
69 69
  /// \e ObserverBase nested class. The signals can be handled with
70 70
  /// overriding the virtual functions defined in the base class.  The
71 71
  /// observer base can be attached to the notifier with the 
72 72
  /// \e attach() member and can be detached with detach() function. The
73 73
  /// alteration handlers should not call any function which signals
74 74
  /// an other alteration in the same notifier and should not
75 75
  /// detach any observer from the notifier.
76 76
  ///
77 77
  /// Alteration observers try to be exception safe. If an \e add() or
78 78
  /// a \e clear() function throws an exception then the remaining
79 79
  /// observeres will not be notified and the fulfilled additions will
80 80
  /// be rolled back by calling the \e erase() or \e clear()
81 81
  /// functions. Thence the \e erase() and \e clear() should not throw
82 82
  /// exception. Actullay, it can be throw only 
83 83
  /// \ref AlterationObserver::ImmediateDetach ImmediateDetach
84 84
  /// exception which detach the observer from the notifier.
85 85
  ///
86 86
  /// There are some place when the alteration observing is not completly
87 87
  /// reliable. If we want to carry out the node degree in the graph
88 88
  /// as in the \ref InDegMap and we use the reverseEdge that cause 
89 89
  /// unreliable functionality. Because the alteration observing signals
90 90
  /// only erasing and adding but not the reversing it will stores bad
91 91
  /// degrees. The sub graph adaptors cannot signal the alterations because
92 92
  /// just a setting in the filter map can modify the graph and this cannot
93 93
  /// be watched in any way.
94 94
  ///
95 95
  /// \param _Container The container which is observed.
96 96
  /// \param _Item The item type which is obserbved.
97
  ///
98
  /// \author Balazs Dezso
99 97

	
100 98
  template <typename _Container, typename _Item>
101 99
  class AlterationNotifier {
102 100
  public:
103 101

	
104 102
    typedef True Notifier;
105 103

	
106 104
    typedef _Container Container;
107 105
    typedef _Item Item;
108 106

	
109 107
    /// \brief Exception which can be called from \e clear() and 
110 108
    /// \e erase().
111 109
    ///
112 110
    /// From the \e clear() and \e erase() function only this
113 111
    /// exception is allowed to throw. The exception immediatly
114 112
    /// detaches the current observer from the notifier. Because the
115 113
    /// \e clear() and \e erase() should not throw other exceptions
116 114
    /// it can be used to invalidate the observer.
117 115
    struct ImmediateDetach {};
118 116

	
119 117
    /// \brief ObserverBase is the base class for the observers.
120 118
    ///
121 119
    /// ObserverBase is the abstract base class for the observers.
122 120
    /// It will be notified about an item was inserted into or
123 121
    /// erased from the graph.
124 122
    ///
125 123
    /// The observer interface contains some pure virtual functions
126 124
    /// to override. The add() and erase() functions are
127 125
    /// to notify the oberver when one item is added or
128 126
    /// erased.
129 127
    ///
130 128
    /// The build() and clear() members are to notify the observer
131 129
    /// about the container is built from an empty container or
132 130
    /// is cleared to an empty container. 
133
    /// 
134
    /// \author Balazs Dezso
135 131

	
136 132
    class ObserverBase {
137 133
    protected:
138 134
      typedef AlterationNotifier Notifier;
139 135

	
140 136
      friend class AlterationNotifier;
141 137

	
142 138
      /// \brief Default constructor.
143 139
      ///
144 140
      /// Default constructor for ObserverBase.
145 141
      /// 
146 142
      ObserverBase() : _notifier(0) {}
147 143

	
148 144
      /// \brief Constructor which attach the observer into notifier.
149 145
      ///
150 146
      /// Constructor which attach the observer into notifier.
151 147
      ObserverBase(AlterationNotifier& nf) {
152 148
        attach(nf);
153 149
      }
154 150

	
155 151
      /// \brief Constructor which attach the obserever to the same notifier.
156 152
      ///
157 153
      /// Constructor which attach the obserever to the same notifier as
158 154
      /// the other observer is attached to. 
159 155
      ObserverBase(const ObserverBase& copy) {
160 156
	if (copy.attached()) {
161 157
          attach(*copy.notifier());
162 158
	}
163 159
      }
164 160
	
165 161
      /// \brief Destructor
166 162
      virtual ~ObserverBase() {
167 163
        if (attached()) {
168 164
          detach();
169 165
        }
170 166
      }
171 167

	
172 168
      /// \brief Attaches the observer into an AlterationNotifier.
173 169
      ///
174 170
      /// This member attaches the observer into an AlterationNotifier.
175 171
      ///
176 172
      void attach(AlterationNotifier& nf) {
177 173
	nf.attach(*this);
178 174
      }
179 175
      
180 176
      /// \brief Detaches the observer into an AlterationNotifier.
181 177
      ///
182 178
      /// This member detaches the observer from an AlterationNotifier.
183 179
      ///
184 180
      void detach() {
185 181
        _notifier->detach(*this);
186 182
      }
187 183
      
188 184
      /// \brief Gives back a pointer to the notifier which the map 
189 185
      /// attached into.
190 186
      ///
191 187
      /// This function gives back a pointer to the notifier which the map
192 188
      /// attached into.
193 189
      ///
194 190
      Notifier* notifier() const { return const_cast<Notifier*>(_notifier); }
195 191
      
196 192
      /// Gives back true when the observer is attached into a notifier.
197 193
      bool attached() const { return _notifier != 0; }
198 194

	
199 195
    private:
200 196

	
201 197
      ObserverBase& operator=(const ObserverBase& copy);
202 198

	
203 199
    protected:
204 200
      
205 201
      Notifier* _notifier;
206 202
      typename std::list<ObserverBase*>::iterator _index;
207 203

	
208 204
      /// \brief The member function to notificate the observer about an
209 205
      /// item is added to the container.
210 206
      ///
211 207
      /// The add() member function notificates the observer about an item
212 208
      /// is added to the container. It have to be overrided in the
213 209
      /// subclasses.
214 210
      virtual void add(const Item&) = 0;
215 211

	
216 212
      /// \brief The member function to notificate the observer about 
217 213
      /// more item is added to the container.
218 214
      ///
219 215
      /// The add() member function notificates the observer about more item
220 216
      /// is added to the container. It have to be overrided in the
221 217
      /// subclasses.
222 218
      virtual void add(const std::vector<Item>& items) = 0;
223 219

	
224 220
      /// \brief The member function to notificate the observer about an
225 221
      /// item is erased from the container.
226 222
      ///
227 223
      /// The erase() member function notificates the observer about an
228 224
      /// item is erased from the container. It have to be overrided in
229 225
      /// the subclasses.	
230 226
      virtual void erase(const Item&) = 0;
231 227

	
232 228
      /// \brief The member function to notificate the observer about 
233 229
      /// more item is erased from the container.
234 230
      ///
235 231
      /// The erase() member function notificates the observer about more item
236 232
      /// is erased from the container. It have to be overrided in the
237 233
      /// subclasses.
238 234
      virtual void erase(const std::vector<Item>& items) = 0;
239 235

	
240 236
      /// \brief The member function to notificate the observer about the
241 237
      /// container is built.
242 238
      ///
243 239
      /// The build() member function notificates the observer about the
244 240
      /// container is built from an empty container. It have to be
245 241
      /// overrided in the subclasses.
246 242

	
247 243
      virtual void build() = 0;
248 244

	
249 245
      /// \brief The member function to notificate the observer about all
250 246
      /// items are erased from the container.
251 247
      ///
252 248
      /// The clear() member function notificates the observer about all
253 249
      /// items are erased from the container. It have to be overrided in
254 250
      /// the subclasses.      
255 251
      virtual void clear() = 0;
256 252

	
257 253
    };
258 254
	
259 255
  protected:
260 256

	
261 257
    const Container* container;
262 258

	
263 259
    typedef std::list<ObserverBase*> Observers; 
264 260
    Observers _observers;
265 261

	
266 262
		
267 263
  public:
268 264

	
269 265
    /// \brief Default constructor.
270 266
    ///
271 267
    /// The default constructor of the AlterationNotifier. 
272 268
    /// It creates an empty notifier.
273 269
    AlterationNotifier() 
274 270
      : container(0) {}
275 271

	
276 272
    /// \brief Constructor.
277 273
    ///
278 274
    /// Constructor with the observed container parameter.
279 275
    AlterationNotifier(const Container& _container) 
280 276
      : container(&_container) {}
281 277

	
282 278
    /// \brief Copy Constructor of the AlterationNotifier. 
283 279
    ///
284 280
    /// Copy constructor of the AlterationNotifier. 
285 281
    /// It creates only an empty notifier because the copiable
286 282
    /// notifier's observers have to be registered still into that notifier.
287 283
    AlterationNotifier(const AlterationNotifier& _notifier) 
288 284
      : container(_notifier.container) {}
289 285

	
290 286
    /// \brief Destructor.
291 287
    ///		
292 288
    /// Destructor of the AlterationNotifier.
293 289
    ///
294 290
    ~AlterationNotifier() {
295 291
      typename Observers::iterator it;
296 292
      for (it = _observers.begin(); it != _observers.end(); ++it) {
297 293
	(*it)->_notifier = 0;
298 294
      }
299 295
    }
300 296

	
301 297
    /// \brief Sets the container.
302 298
    ///
303 299
    /// Sets the container.
304 300
    void setContainer(const Container& _container) {
305 301
      container = &_container;
306 302
    }
307 303

	
308 304
  protected:
309 305

	
310 306
    AlterationNotifier& operator=(const AlterationNotifier&);
311 307

	
312 308
  public:
313 309

	
314 310

	
315 311

	
316 312
    /// \brief First item in the container.
317 313
    ///
318 314
    /// Returns the first item in the container. It is
319 315
    /// for start the iteration on the container.
320 316
    void first(Item& item) const {
321 317
      container->first(item);
322 318
    }
323 319

	
324 320
    /// \brief Next item in the container.
325 321
    ///
326 322
    /// Returns the next item in the container. It is
Ignore white space 6 line context
1 1
/* -*- C++ -*-
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_BEZIER_H
20 20
#define LEMON_BEZIER_H
21 21

	
22 22
///\ingroup misc
23 23
///\file
24 24
///\brief Classes to compute with Bezier curves.
25 25
///
26 26
///Up to now this file is used internally by \ref graph_to_eps.h
27
///
28
///\author Alpar Juttner
29 27

	
30 28
#include<lemon/dim2.h>
31 29

	
32 30
namespace lemon {
33 31
  namespace dim2 {
34 32

	
35 33
class BezierBase {
36 34
public:
37 35
  typedef Point<double> Point;
38 36
protected:
39 37
  static Point conv(Point x,Point y,double t) {return (1-t)*x+t*y;}
40 38
};
41 39

	
42 40
class Bezier1 : public BezierBase
43 41
{
44 42
public:
45 43
  Point p1,p2;
46 44

	
47 45
  Bezier1() {}
48 46
  Bezier1(Point _p1, Point _p2) :p1(_p1), p2(_p2) {}
49 47
  
50 48
  Point operator()(double t) const
51 49
  {
52 50
    //    return conv(conv(p1,p2,t),conv(p2,p3,t),t);
53 51
    return conv(p1,p2,t);
54 52
  }
55 53
  Bezier1 before(double t) const
56 54
  {
57 55
    return Bezier1(p1,conv(p1,p2,t));
58 56
  }
59 57
  
60 58
  Bezier1 after(double t) const
61 59
  {
62 60
    return Bezier1(conv(p1,p2,t),p2);
63 61
  }
64 62

	
65 63
  Bezier1 revert() const { return Bezier1(p2,p1);}
66 64
  Bezier1 operator()(double a,double b) const { return before(b).after(a/b); }
67 65
  Point grad() const { return p2-p1; }
68 66
  Point norm() const { return rot90(p2-p1); }
69 67
  Point grad(double) const { return grad(); }
70 68
  Point norm(double t) const { return rot90(grad(t)); }
71 69
};
72 70

	
73 71
class Bezier2 : public BezierBase
74 72
{
75 73
public:
76 74
  Point p1,p2,p3;
77 75

	
78 76
  Bezier2() {}
79 77
  Bezier2(Point _p1, Point _p2, Point _p3) :p1(_p1), p2(_p2), p3(_p3) {}
80 78
  Bezier2(const Bezier1 &b) : p1(b.p1), p2(conv(b.p1,b.p2,.5)), p3(b.p2) {}
81 79
  Point operator()(double t) const
82 80
  {
83 81
    //    return conv(conv(p1,p2,t),conv(p2,p3,t),t);
84 82
    return ((1-t)*(1-t))*p1+(2*(1-t)*t)*p2+(t*t)*p3;
85 83
  }
86 84
  Bezier2 before(double t) const
87 85
  {
88 86
    Point q(conv(p1,p2,t));
89 87
    Point r(conv(p2,p3,t));
90 88
    return Bezier2(p1,q,conv(q,r,t));
91 89
  }
92 90
  
93 91
  Bezier2 after(double t) const
94 92
  {
95 93
    Point q(conv(p1,p2,t));
96 94
    Point r(conv(p2,p3,t));
97 95
    return Bezier2(conv(q,r,t),r,p3);
98 96
  }
99 97
  Bezier2 revert() const { return Bezier2(p3,p2,p1);}
100 98
  Bezier2 operator()(double a,double b) const { return before(b).after(a/b); }
101 99
  Bezier1 grad() const { return Bezier1(2.0*(p2-p1),2.0*(p3-p2)); }
102 100
  Bezier1 norm() const { return Bezier1(2.0*rot90(p2-p1),2.0*rot90(p3-p2)); }
103 101
  Point grad(double t) const { return grad()(t); }
104 102
  Point norm(double t) const { return rot90(grad(t)); }
105 103
};
106 104

	
107 105
class Bezier3 : public BezierBase
108 106
{
109 107
public:
110 108
  Point p1,p2,p3,p4;
111 109

	
112 110
  Bezier3() {}
113 111
  Bezier3(Point _p1, Point _p2, Point _p3, Point _p4)
114 112
    : p1(_p1), p2(_p2), p3(_p3), p4(_p4) {}
115 113
  Bezier3(const Bezier1 &b) : p1(b.p1), p2(conv(b.p1,b.p2,1.0/3.0)), 
116 114
			      p3(conv(b.p1,b.p2,2.0/3.0)), p4(b.p2) {}
117 115
  Bezier3(const Bezier2 &b) : p1(b.p1), p2(conv(b.p1,b.p2,2.0/3.0)),
118 116
			      p3(conv(b.p2,b.p3,1.0/3.0)), p4(b.p3) {}
119 117
  
120 118
  Point operator()(double t) const 
121 119
    {
122 120
      //    return Bezier2(conv(p1,p2,t),conv(p2,p3,t),conv(p3,p4,t))(t);
123 121
      return ((1-t)*(1-t)*(1-t))*p1+(3*t*(1-t)*(1-t))*p2+
124 122
	(3*t*t*(1-t))*p3+(t*t*t)*p4;
125 123
    }
126 124
  Bezier3 before(double t) const
127 125
    {
128 126
      Point p(conv(p1,p2,t));
129 127
      Point q(conv(p2,p3,t));
130 128
      Point r(conv(p3,p4,t));
131 129
      Point a(conv(p,q,t));
132 130
      Point b(conv(q,r,t));
133 131
      Point c(conv(a,b,t));
134 132
      return Bezier3(p1,p,a,c);
135 133
    }
136 134
  
137 135
  Bezier3 after(double t) const
138 136
    {
139 137
      Point p(conv(p1,p2,t));
140 138
      Point q(conv(p2,p3,t));
141 139
      Point r(conv(p3,p4,t));
142 140
      Point a(conv(p,q,t));
143 141
      Point b(conv(q,r,t));
144 142
      Point c(conv(a,b,t));
145 143
      return Bezier3(c,b,r,p4);
146 144
    }
147 145
  Bezier3 revert() const { return Bezier3(p4,p3,p2,p1);}
148 146
  Bezier3 operator()(double a,double b) const { return before(b).after(a/b); }
149 147
  Bezier2 grad() const { return Bezier2(3.0*(p2-p1),3.0*(p3-p2),3.0*(p4-p3)); }
150 148
  Bezier2 norm() const { return Bezier2(3.0*rot90(p2-p1),
151 149
				  3.0*rot90(p3-p2),
152 150
				  3.0*rot90(p4-p3)); }
153 151
  Point grad(double t) const { return grad()(t); }
154 152
  Point norm(double t) const { return rot90(grad(t)); }
155 153

	
156 154
  template<class R,class F,class S,class D>
157 155
  R recSplit(F &_f,const S &_s,D _d) const 
158 156
  {
159 157
    const Point a=(p1+p2)/2;
160 158
    const Point b=(p2+p3)/2;
161 159
    const Point c=(p3+p4)/2;
162 160
    const Point d=(a+b)/2;
163 161
    const Point e=(b+c)/2;
164 162
    const Point f=(d+e)/2;
165 163
    R f1=_f(Bezier3(p1,a,d,e),_d);
166 164
    R f2=_f(Bezier3(e,d,c,p4),_d);
167 165
    return _s(f1,f2);
168 166
  }
169 167
  
170 168
};
171 169

	
172 170

	
173 171
} //END OF NAMESPACE dim2
174 172
} //END OF NAMESPACE lemon
175 173

	
176 174
#endif // LEMON_BEZIER_H
Ignore white space 6 line context
1 1
/* -*- C++ -*-
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_BITS_VECTOR_MAP_H
20 20
#define LEMON_BITS_VECTOR_MAP_H
21 21

	
22 22
#include <vector>
23 23
#include <algorithm>
24 24

	
25 25
#include <lemon/bits/traits.h>
26 26
#include <lemon/bits/utility.h>
27 27

	
28 28
#include <lemon/bits/alteration_notifier.h>
29 29

	
30 30
#include <lemon/concept_check.h>
31 31
#include <lemon/concepts/maps.h>
32 32

	
33 33
///\ingroup graphbits
34 34
///
35 35
///\file
36 36
///\brief Vector based graph maps.
37 37
namespace lemon {
38 38

	
39 39
  /// \ingroup graphbits
40 40
  ///
41 41
  /// \brief Graph map based on the std::vector storage.
42 42
  ///
43 43
  /// The VectorMap template class is graph map structure what
44 44
  /// automatically updates the map when a key is added to or erased from
45 45
  /// the map. This map type uses the std::vector to store the values.
46 46
  ///
47
  /// \param Notifier The AlterationNotifier that will notify this map.
48
  /// \param Item The item type of the graph items.
49
  /// \param Value The value type of the map.
50
  /// 
51
  /// \author Balazs Dezso  	
47
  /// \tparam _Notifier The AlterationNotifier that will notify this map.
48
  /// \tparam _Item The item type of the graph items.
49
  /// \tparam _Value The value type of the map.
50
  /// \todo Fix the doc: there is _Graph parameter instead of _Notifier.
52 51
  template <typename _Graph, typename _Item, typename _Value>
53 52
  class VectorMap 
54 53
    : public ItemSetTraits<_Graph, _Item>::ItemNotifier::ObserverBase {
55 54
  private:
56 55
		
57 56
    /// The container type of the map.
58 57
    typedef std::vector<_Value> Container;	
59 58

	
60 59
  public:
61 60

	
62 61
    /// The graph type of the map. 
63 62
    typedef _Graph Graph;
64 63
    /// The item type of the map.
65 64
    typedef _Item Item;
66 65
    /// The reference map tag.
67 66
    typedef True ReferenceMapTag;
68 67

	
69 68
    /// The key type of the map.
70 69
    typedef _Item Key;
71 70
    /// The value type of the map.
72 71
    typedef _Value Value;
73 72

	
74 73
    /// The notifier type.
75 74
    typedef typename ItemSetTraits<_Graph, _Item>::ItemNotifier Notifier;
76 75

	
77 76
    /// The map type.
78 77
    typedef VectorMap Map;
79 78
    /// The base class of the map.
80 79
    typedef typename Notifier::ObserverBase Parent;
81 80

	
82 81
    /// The reference type of the map;
83 82
    typedef typename Container::reference Reference;
84 83
    /// The const reference type of the map;
85 84
    typedef typename Container::const_reference ConstReference;
86 85

	
87 86

	
88 87
    /// \brief Constructor to attach the new map into the notifier.
89 88
    ///
90 89
    /// It constructs a map and attachs it into the notifier.
91 90
    /// It adds all the items of the graph to the map.
92 91
    VectorMap(const Graph& graph) {
93 92
      Parent::attach(graph.notifier(Item()));
94 93
      container.resize(Parent::notifier()->maxId() + 1);
95 94
    }
96 95

	
97 96
    /// \brief Constructor uses given value to initialize the map. 
98 97
    ///
99 98
    /// It constructs a map uses a given value to initialize the map. 
100 99
    /// It adds all the items of the graph to the map.
101 100
    VectorMap(const Graph& graph, const Value& value) {
102 101
      Parent::attach(graph.notifier(Item()));
103 102
      container.resize(Parent::notifier()->maxId() + 1, value);
104 103
    }
105 104

	
106 105
    /// \brief Copy constructor
107 106
    ///
108 107
    /// Copy constructor.
109 108
    VectorMap(const VectorMap& _copy) : Parent() {
110 109
      if (_copy.attached()) {
111 110
	Parent::attach(*_copy.notifier());
112 111
	container = _copy.container;
113 112
      }
114 113
    }
115 114

	
116 115
    /// \brief Assign operator.
117 116
    ///
118 117
    /// This operator assigns for each item in the map the
119 118
    /// value mapped to the same item in the copied map.  
120 119
    /// The parameter map should be indiced with the same
121 120
    /// itemset because this assign operator does not change
122 121
    /// the container of the map. 
123 122
    VectorMap& operator=(const VectorMap& cmap) {
124 123
      return operator=<VectorMap>(cmap);
125 124
    }
126 125

	
127 126

	
128 127
    /// \brief Template assign operator.
129 128
    ///
130 129
    /// The given parameter should be conform to the ReadMap
131 130
    /// concecpt and could be indiced by the current item set of
132 131
    /// the NodeMap. In this case the value for each item
133 132
    /// is assigned by the value of the given ReadMap. 
134 133
    template <typename CMap>
135 134
    VectorMap& operator=(const CMap& cmap) {
136 135
      checkConcept<concepts::ReadMap<Key, _Value>, CMap>();
137 136
      const typename Parent::Notifier* nf = Parent::notifier();
138 137
      Item it;
139 138
      for (nf->first(it); it != INVALID; nf->next(it)) {
140 139
        set(it, cmap[it]);
141 140
      }
142 141
      return *this;
143 142
    }
144 143
    
145 144
  public:
146 145

	
147 146
    /// \brief The subcript operator.
148 147
    ///
149 148
    /// The subscript operator. The map can be subscripted by the
150 149
    /// actual items of the graph.      
151 150
    Reference operator[](const Key& key) {
152 151
      return container[Parent::notifier()->id(key)];
153 152
    } 
154 153
		
155 154
    /// \brief The const subcript operator.
156 155
    ///
157 156
    /// The const subscript operator. The map can be subscripted by the
158 157
    /// actual items of the graph. 
159 158
    ConstReference operator[](const Key& key) const {
160 159
      return container[Parent::notifier()->id(key)];
161 160
    }
162 161

	
163 162

	
164 163
    /// \brief The setter function of the map.
165 164
    ///
166 165
    /// It the same as operator[](key) = value expression.
167 166
    void set(const Key& key, const Value& value) {
168 167
      (*this)[key] = value;
169 168
    }
170 169

	
171 170
  protected:
172 171

	
173 172
    /// \brief Adds a new key to the map.
174 173
    ///		
175 174
    /// It adds a new key to the map. It called by the observer notifier
176 175
    /// and it overrides the add() member function of the observer base.     
177 176
    virtual void add(const Key& key) {
178 177
      int id = Parent::notifier()->id(key);
179 178
      if (id >= int(container.size())) {
180 179
	container.resize(id + 1);
181 180
      }
182 181
    }
183 182

	
184 183
    /// \brief Adds more new keys to the map.
185 184
    ///		
186 185
    /// It adds more new keys to the map. It called by the observer notifier
187 186
    /// and it overrides the add() member function of the observer base.     
188 187
    virtual void add(const std::vector<Key>& keys) {
189 188
      int max = container.size() - 1;
190 189
      for (int i = 0; i < int(keys.size()); ++i) {
191 190
        int id = Parent::notifier()->id(keys[i]);
192 191
        if (id >= max) {
193 192
          max = id;
194 193
        }
195 194
      }
196 195
      container.resize(max + 1);
197 196
    }
198 197

	
199 198
    /// \brief Erase a key from the map.
200 199
    ///
201 200
    /// Erase a key from the map. It called by the observer notifier
202 201
    /// and it overrides the erase() member function of the observer base.     
203 202
    virtual void erase(const Key& key) {
204 203
      container[Parent::notifier()->id(key)] = Value();
205 204
    }
206 205

	
207 206
    /// \brief Erase more keys from the map.
208 207
    ///
209 208
    /// Erase more keys from the map. It called by the observer notifier
210 209
    /// and it overrides the erase() member function of the observer base.     
211 210
    virtual void erase(const std::vector<Key>& keys) {
212 211
      for (int i = 0; i < int(keys.size()); ++i) {
213 212
	container[Parent::notifier()->id(keys[i])] = Value();
214 213
      }
215 214
    }
216 215
    
217 216
    /// \brief Buildes the map.
218 217
    ///	
219 218
    /// It buildes the map. It called by the observer notifier
220 219
    /// and it overrides the build() member function of the observer base.
221 220
    virtual void build() { 
222 221
      int size = Parent::notifier()->maxId() + 1;
223 222
      container.reserve(size);
224 223
      container.resize(size);
225 224
    }
226 225

	
227 226
    /// \brief Clear the map.
228 227
    ///
229 228
    /// It erase all items from the map. It called by the observer notifier
230 229
    /// and it overrides the clear() member function of the observer base.     
231 230
    virtual void clear() { 
232 231
      container.clear();
233 232
    }
234 233
    
235 234
  private:
236 235
		
237 236
    Container container;
238 237

	
239 238
  };
240 239

	
241 240
}
242 241

	
243 242
#endif
Ignore white space 384 line context
1 1
/* -*- C++ -*-
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_COLOR_H
20 20
#define LEMON_COLOR_H
21 21

	
22 22
#include<vector>
23 23
#include<lemon/math.h>
24 24
#include<lemon/maps.h>
25 25

	
26 26

	
27 27
///\ingroup misc
28 28
///\file
29 29
///\brief Tools to manage RGB colors.
30
///
31
///\author Alpar Juttner
32 30

	
33 31
namespace lemon {
34 32

	
35 33

	
36 34
  /// \addtogroup misc
37 35
  /// @{
38 36

	
39 37
  ///Data structure representing RGB colors.
40 38

	
41 39
  ///Data structure representing RGB colors.
42 40
  class Color
43 41
  {
44 42
    double _r,_g,_b;
45 43
  public:
46 44
    ///Default constructor
47 45
    Color() {}
48 46
    ///Constructor
49 47
    Color(double r,double g,double b) :_r(r),_g(g),_b(b) {};
50 48
    ///Set the red component
51 49
    double & red() {return _r;}
52 50
    ///Return the red component
53 51
    const double & red() const {return _r;}
54 52
    ///Set the green component
55 53
    double & green() {return _g;}
56 54
    ///Return the green component
57 55
    const double & green() const {return _g;}
58 56
    ///Set the blue component
59 57
    double & blue() {return _b;}
60 58
    ///Return the blue component
61 59
    const double & blue() const {return _b;}
62 60
    ///Set the color components
63 61
    void set(double r,double g,double b) { _r=r;_g=g;_b=b; };
64 62
  };
65 63

	
66 64
  /// White color constant
67 65
  extern const Color WHITE;  
68 66
  /// Black color constant
69 67
  extern const Color BLACK;
70 68
  /// Red color constant
71 69
  extern const Color RED;
72 70
  /// Green color constant
73 71
  extern const Color GREEN;
74 72
  /// Blue color constant
75 73
  extern const Color BLUE;
76 74
  /// Yellow color constant
77 75
  extern const Color YELLOW;
78 76
  /// Magenta color constant
79 77
  extern const Color MAGENTA;
80 78
  /// Cyan color constant
81 79
  extern const Color CYAN;
82 80
  /// Grey color constant
83 81
  extern const Color GREY;
84 82
  /// Dark red color constant
85 83
  extern const Color DARK_RED;
86 84
  /// Dark green color constant
87 85
  extern const Color DARK_GREEN;
88 86
  /// Drak blue color constant
89 87
  extern const Color DARK_BLUE;
90 88
  /// Dark yellow color constant
91 89
  extern const Color DARK_YELLOW;
92 90
  /// Dark magenta color constant
93 91
  extern const Color DARK_MAGENTA;
94 92
  /// Dark cyan color constant
95 93
  extern const Color DARK_CYAN;
96 94

	
97 95
  ///Map <tt>int</tt>s to different \ref Color "Color"s
98 96

	
99 97
  ///This map assigns one of the predefined \ref Color "Color"s to
100 98
  ///each <tt>int</tt>. It is possible to change the colors as well as
101 99
  ///their number. The integer range is cyclically mapped to the
102 100
  ///provided set of colors.
103 101
  ///
104 102
  ///This is a true \ref concepts::ReferenceMap "reference map", so
105 103
  ///you can also change the actual colors.
106 104

	
107 105
  class Palette : public MapBase<int,Color>
108 106
  {
109 107
    std::vector<Color> colors;
110 108
  public:
111 109
    ///Constructor
112 110

	
113 111
    ///Constructor 
114 112
    ///\param have_white indicates whether white is amongst the
115 113
    ///provided initial colors (\c true) or not (\c false). If it is true,
116 114
    ///white will be assigned to \c 0.
117 115
    ///\param num the number of the allocated colors. If it is \c -1,
118 116
    ///the default color configuration is set up (26 color plus optionaly the
119 117
    ///white).  If \c num is less then 26/27 then the default color
120 118
    ///list is cut. Otherwise the color list is filled repeatedly with
121 119
    ///the default color list.  (The colors can be changed later on.)
122 120
    Palette(bool have_white=false,int num=-1)
123 121
    {
124 122
      if (num==0) return;
125 123
      do {
126 124
        if(have_white) colors.push_back(Color(1,1,1));
127 125

	
128 126
        colors.push_back(Color(0,0,0));
129 127
        colors.push_back(Color(1,0,0));
130 128
        colors.push_back(Color(0,1,0));
131 129
        colors.push_back(Color(0,0,1));
132 130
        colors.push_back(Color(1,1,0));
133 131
        colors.push_back(Color(1,0,1));
134 132
        colors.push_back(Color(0,1,1));
135 133
      
136 134
        colors.push_back(Color(.5,0,0));
137 135
        colors.push_back(Color(0,.5,0));
138 136
        colors.push_back(Color(0,0,.5));
139 137
        colors.push_back(Color(.5,.5,0));
140 138
        colors.push_back(Color(.5,0,.5));
141 139
        colors.push_back(Color(0,.5,.5));
142 140
      
143 141
        colors.push_back(Color(.5,.5,.5));
144 142
        colors.push_back(Color(1,.5,.5));
145 143
        colors.push_back(Color(.5,1,.5));
146 144
        colors.push_back(Color(.5,.5,1));
147 145
        colors.push_back(Color(1,1,.5));
148 146
        colors.push_back(Color(1,.5,1));
149 147
        colors.push_back(Color(.5,1,1));
150 148
      
151 149
        colors.push_back(Color(1,.5,0));
152 150
        colors.push_back(Color(.5,1,0));
153 151
        colors.push_back(Color(1,0,.5));
154 152
        colors.push_back(Color(0,1,.5));
155 153
        colors.push_back(Color(0,.5,1));
156 154
        colors.push_back(Color(.5,0,1));
157 155
      } while(int(colors.size())<num);
158 156
      //    colors.push_back(Color(1,1,1));
159 157
      if(num>=0) colors.resize(num);
160 158
    }
161 159
    ///\e
162 160
    Color &operator[](int i)
163 161
    {
164 162
      return colors[i%colors.size()];
165 163
    }
166 164
    ///\e
167 165
    const Color &operator[](int i) const
168 166
    {
169 167
      return colors[i%colors.size()];
170 168
    }
171 169
    ///\e
172 170
    void set(int i,const Color &c)
173 171
    {
174 172
      colors[i%colors.size()]=c;
175 173
    }
176 174
    ///Add a new color to the end of the color list.
177 175
    void add(const Color &c) 
178 176
    {
179 177
      colors.push_back(c);
180 178
    }
181 179

	
182 180
    ///Sets the number of the exiting colors.
183 181
    void resize(int s) { colors.resize(s);}
184 182
    ///Returns the number of the existing colors.
185 183
    int size() const { return int(colors.size());}
186 184
  };
187 185

	
188 186
  ///Returns a visibly distinct \ref Color
189 187

	
190 188
  ///Returns a \ref Color which is as different from the given parameter
191 189
  ///as it is possible.
192 190
  inline Color distantColor(const Color &c) 
193 191
  {
194 192
    return Color(c.red()<.5?1:0,c.green()<.5?1:0,c.blue()<.5?1:0);
195 193
  }
196 194
  ///Returns black for light colors and white for the dark ones.
197 195

	
198 196
  ///Returns black for light colors and white for the dark ones.
199 197
  inline Color distantBW(const Color &c){
200 198
    return (.2125*c.red()+.7154*c.green()+.0721*c.blue())<.5 ? WHITE : BLACK;
201 199
  }
202 200

	
203 201
  /// @}
204 202

	
205 203
} //END OF NAMESPACE LEMON
206 204

	
207 205
#endif // LEMON_COLOR_H
Ignore white space 6 line context
1 1
/* -*- C++ -*-
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
///\ingroup concept
20 20
///\file
21 21
///\brief Classes for representing paths in digraphs.
22 22
///
23 23
///\todo Iterators have obsolete style
24 24

	
25 25
#ifndef LEMON_CONCEPT_PATH_H
26 26
#define LEMON_CONCEPT_PATH_H
27 27

	
28 28
#include <lemon/bits/invalid.h>
29 29
#include <lemon/bits/utility.h>
30 30
#include <lemon/concept_check.h>
31 31

	
32 32
namespace lemon {
33 33
  namespace concepts {
34 34

	
35 35
    /// \addtogroup concept
36 36
    /// @{
37 37

	
38 38
    /// \brief A skeleton structure for representing directed paths in
39 39
    /// a digraph.
40 40
    ///
41 41
    /// A skeleton structure for representing directed paths in a
42 42
    /// digraph.  
43
    /// \param _Digraph The digraph type in which the path is.
43
    /// \tparam _Digraph The digraph type in which the path is.
44 44
    ///
45 45
    /// In a sense, the path can be treated as a list of arcs. The
46 46
    /// lemon path type stores just this list. As a consequence it
47 47
    /// cannot enumerate the nodes in the path and the zero length
48 48
    /// paths cannot store the source.
49 49
    ///
50 50
    template <typename _Digraph>
51 51
    class Path {
52 52
    public:
53 53

	
54 54
      /// Type of the underlying digraph.
55 55
      typedef _Digraph Digraph;
56 56
      /// Arc type of the underlying digraph.
57 57
      typedef typename Digraph::Arc Arc;
58 58

	
59 59
      class ArcIt;
60 60

	
61 61
      /// \brief Default constructor
62 62
      Path() {}
63 63

	
64 64
      /// \brief Template constructor
65 65
      template <typename CPath>
66 66
      Path(const CPath& cpath) {}
67 67

	
68 68
      /// \brief Template assigment
69 69
      template <typename CPath>
70 70
      Path& operator=(const CPath& cpath) {}
71 71

	
72 72
      /// Length of the path ie. the number of arcs in the path.
73 73
      int length() const { return 0;}
74 74

	
75 75
      /// Returns whether the path is empty.
76 76
      bool empty() const { return true;}
77 77

	
78 78
      /// Resets the path to an empty path.
79 79
      void clear() {}
80 80

	
81 81
      /// \brief Lemon style iterator for path arcs
82 82
      ///
83 83
      /// This class is used to iterate on the arcs of the paths.
84 84
      class ArcIt {
85 85
      public:
86 86
	/// Default constructor
87 87
	ArcIt() {}
88 88
	/// Invalid constructor
89 89
	ArcIt(Invalid) {}
90 90
	/// Constructor for first arc
91 91
	ArcIt(const Path &) {}
92 92

	
93 93
        /// Conversion to Arc
94 94
	operator Arc() const { return INVALID; }
95 95

	
96 96
	/// Next arc
97 97
	ArcIt& operator++() {return *this;}
98 98

	
99 99
	/// Comparison operator
100 100
	bool operator==(const ArcIt&) const {return true;}
101 101
	/// Comparison operator
102 102
	bool operator!=(const ArcIt&) const {return true;}
103 103
 	/// Comparison operator
104 104
 	bool operator<(const ArcIt&) const {return false;}
105 105

	
106 106
      };
107 107

	
108 108
      template <typename _Path>
109 109
      struct Constraints {
110 110
        void constraints() {
111 111
          Path<Digraph> pc;
112 112
          _Path p, pp(pc);
113 113
          int l = p.length();
114 114
          int e = p.empty();
115 115
          p.clear();
116 116

	
117 117
          p = pc;
118 118

	
119 119
          typename _Path::ArcIt id, ii(INVALID), i(p);
120 120

	
121 121
          ++i;
122 122
          typename Digraph::Arc ed = i;
123 123

	
124 124
          e = (i == ii);
125 125
          e = (i != ii);
126 126
          e = (i < ii);
127 127

	
128 128
          ignore_unused_variable_warning(l);
129 129
          ignore_unused_variable_warning(pp);
130 130
          ignore_unused_variable_warning(e);
131 131
          ignore_unused_variable_warning(id);
132 132
          ignore_unused_variable_warning(ii);
133 133
          ignore_unused_variable_warning(ed);
134 134
        }
135 135
      };
136 136

	
137 137
    };
138 138

	
139 139
    namespace _path_bits {
140 140
      
141 141
      template <typename _Digraph, typename _Path, typename RevPathTag = void>
142 142
      struct PathDumperConstraints {
143 143
        void constraints() {
144 144
          int l = p.length();
145 145
          int e = p.empty();
146 146

	
147 147
          typename _Path::ArcIt id, i(p);
148 148

	
149 149
          ++i;
150 150
          typename _Digraph::Arc ed = i;
151 151

	
152 152
          e = (i == INVALID);
153 153
          e = (i != INVALID);
154 154

	
155 155
          ignore_unused_variable_warning(l);
156 156
          ignore_unused_variable_warning(e);
157 157
          ignore_unused_variable_warning(id);
158 158
          ignore_unused_variable_warning(ed);
159 159
        }
160 160
        _Path& p;
161 161
      };
162 162

	
163 163
      template <typename _Digraph, typename _Path>
164 164
      struct PathDumperConstraints<
165 165
        _Digraph, _Path, 
166 166
        typename enable_if<typename _Path::RevPathTag, void>::type
167 167
      > {
168 168
        void constraints() {
169 169
          int l = p.length();
170 170
          int e = p.empty();
171 171

	
172 172
          typename _Path::RevArcIt id, i(p);
173 173

	
174 174
          ++i;
175 175
          typename _Digraph::Arc ed = i;
176 176

	
177 177
          e = (i == INVALID);
178 178
          e = (i != INVALID);
179 179

	
180 180
          ignore_unused_variable_warning(l);
181 181
          ignore_unused_variable_warning(e);
182 182
          ignore_unused_variable_warning(id);
183 183
          ignore_unused_variable_warning(ed);
184 184
        }
185 185
        _Path& p;
186 186
      };
187 187
    
188 188
    }
189 189

	
190 190

	
191 191
    /// \brief A skeleton structure for path dumpers.
192 192
    ///
193 193
    /// A skeleton structure for path dumpers. The path dumpers are
194 194
    /// the generalization of the paths. The path dumpers can
195 195
    /// enumerate the arcs of the path wheter in forward or in
196 196
    /// backward order.  In most time these classes are not used
197 197
    /// directly rather it used to assign a dumped class to a real
198 198
    /// path type.
199 199
    ///
200 200
    /// The main purpose of this concept is that the shortest path
201 201
    /// algorithms can enumerate easily the arcs in reverse order.
202 202
    /// If we would like to give back a real path from these
203 203
    /// algorithms then we should create a temporarly path object. In
204 204
    /// Lemon such algorithms gives back a path dumper what can
205 205
    /// assigned to a real path and the dumpers can be implemented as
206 206
    /// an adaptor class to the predecessor map.
207 207

	
208
    /// \param _Digraph  The digraph type in which the path is.
208
    /// \tparam _Digraph  The digraph type in which the path is.
209 209
    ///
210 210
    /// The paths can be constructed from any path type by a
211 211
    /// template constructor or a template assignment operator.
212 212
    /// 
213 213
    template <typename _Digraph>
214 214
    class PathDumper {
215 215
    public:
216 216

	
217 217
      /// Type of the underlying digraph.
218 218
      typedef _Digraph Digraph;
219 219
      /// Arc type of the underlying digraph.
220 220
      typedef typename Digraph::Arc Arc;
221 221

	
222 222
      /// Length of the path ie. the number of arcs in the path.
223 223
      int length() const { return 0;}
224 224

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

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

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

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

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

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

	
261 261
      };
262 262

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

	
276 276
        /// Conversion to Arc
277 277
	operator Arc() const { return INVALID; }
278 278

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

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

	
289 289
      };
290 290

	
291 291
      template <typename _Path>
292 292
      struct Constraints {
293 293
        void constraints() {
294 294
          function_requires<_path_bits::
295 295
            PathDumperConstraints<Digraph, _Path> >();
296 296
        }
297 297
      };
298 298

	
299 299
    };
300 300

	
301 301

	
302 302
    ///@}
303 303
  }
304 304

	
305 305
} // namespace lemon
306 306

	
307 307
#endif // LEMON_CONCEPT_PATH_H
Ignore white space 6 line context
1 1
/* -*- C++ -*-
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/graph_utils.h>
28 28
#include <lemon/bits/path_dump.h>
29 29
#include <lemon/bits/invalid.h>
30 30
#include <lemon/error.h>
31 31
#include <lemon/maps.h>
32 32

	
33 33
#include <lemon/concept_check.h>
34 34

	
35 35
namespace lemon {
36 36

	
37 37
  
38 38
  ///Default traits class of Dfs class.
39 39

	
40 40
  ///Default traits class of Dfs class.
41
  ///\param GR Digraph type.
41
  ///\tparam GR Digraph type.
42 42
  template<class GR>
43 43
  struct DfsDefaultTraits
44 44
  {
45 45
    ///The digraph type the algorithm runs on. 
46 46
    typedef GR Digraph;
47 47
    ///\brief The type of the map that stores the last
48 48
    ///arcs of the %DFS paths.
49 49
    /// 
50 50
    ///The type of the map that stores the last
51 51
    ///arcs of the %DFS paths.
52 52
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
53 53
    ///
54 54
    typedef typename Digraph::template NodeMap<typename GR::Arc> PredMap;
55 55
    ///Instantiates a PredMap.
56 56
 
57 57
    ///This function instantiates a \ref PredMap. 
58 58
    ///\param G is the digraph, to which we would like to define the PredMap.
59 59
    ///\todo The digraph alone may be insufficient to initialize
60 60
    static PredMap *createPredMap(const GR &G) 
61 61
    {
62 62
      return new PredMap(G);
63 63
    }
64 64

	
65 65
    ///The type of the map that indicates which nodes are processed.
66 66
 
67 67
    ///The type of the map that indicates which nodes are processed.
68 68
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
69 69
    ///\todo named parameter to set this type, function to read and write.
70 70
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
71 71
    ///Instantiates a ProcessedMap.
72 72
 
73 73
    ///This function instantiates a \ref ProcessedMap. 
74 74
    ///\param g is the digraph, to which
75 75
    ///we would like to define the \ref ProcessedMap
76 76
#ifdef DOXYGEN
77 77
    static ProcessedMap *createProcessedMap(const GR &g)
78 78
#else
79 79
    static ProcessedMap *createProcessedMap(const GR &)
80 80
#endif
81 81
    {
82 82
      return new ProcessedMap();
83 83
    }
84 84
    ///The type of the map that indicates which nodes are reached.
85 85
 
86 86
    ///The type of the map that indicates which nodes are reached.
87 87
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
88 88
    ///\todo named parameter to set this type, function to read and write.
89 89
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
90 90
    ///Instantiates a ReachedMap.
91 91
 
92 92
    ///This function instantiates a \ref ReachedMap. 
93 93
    ///\param G is the digraph, to which
94 94
    ///we would like to define the \ref ReachedMap.
95 95
    static ReachedMap *createReachedMap(const GR &G)
96 96
    {
97 97
      return new ReachedMap(G);
98 98
    }
99 99
    ///The type of the map that stores the dists of the nodes.
100 100
 
101 101
    ///The type of the map that stores the dists of the nodes.
102 102
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
103 103
    ///
104 104
    typedef typename Digraph::template NodeMap<int> DistMap;
105 105
    ///Instantiates a DistMap.
106 106
 
107 107
    ///This function instantiates a \ref DistMap. 
108 108
    ///\param G is the digraph, to which we would like to define the \ref DistMap
109 109
    static DistMap *createDistMap(const GR &G)
110 110
    {
111 111
      return new DistMap(G);
112 112
    }
113 113
  };
114 114
  
115 115
  ///%DFS algorithm class.
116 116
  
117 117
  ///\ingroup search
118 118
  ///This class provides an efficient implementation of the %DFS algorithm.
119 119
  ///
120
  ///\param GR The digraph type the algorithm runs on. The default value is
120
  ///\tparam GR The digraph type the algorithm runs on. The default value is
121 121
  ///\ref ListDigraph. The value of GR is not used directly by Dfs, it
122 122
  ///is only passed to \ref DfsDefaultTraits.
123
  ///\param TR Traits class to set various data types used by the algorithm.
123
  ///\tparam TR Traits class to set various data types used by the algorithm.
124 124
  ///The default traits class is
125 125
  ///\ref DfsDefaultTraits "DfsDefaultTraits<GR>".
126 126
  ///See \ref DfsDefaultTraits for the documentation of
127 127
  ///a Dfs traits class.
128
  ///
129
  ///\author Jacint Szabo and Alpar Juttner
130 128
#ifdef DOXYGEN
131 129
  template <typename GR,
132 130
	    typename TR>
133 131
#else
134 132
  template <typename GR=ListDigraph,
135 133
	    typename TR=DfsDefaultTraits<GR> >
136 134
#endif
137 135
  class Dfs {
138 136
  public:
139 137
    /**
140 138
     * \brief \ref Exception for uninitialized parameters.
141 139
     *
142 140
     * This error represents problems in the initialization
143 141
     * of the parameters of the algorithms.
144 142
     */
145 143
    class UninitializedParameter : public lemon::UninitializedParameter {
146 144
    public:
147 145
      virtual const char* what() const throw() {
148 146
	return "lemon::Dfs::UninitializedParameter";
149 147
      }
150 148
    };
151 149

	
152 150
    typedef TR Traits;
153 151
    ///The type of the underlying digraph.
154 152
    typedef typename TR::Digraph Digraph;
155 153
    ///\e
156 154
    typedef typename Digraph::Node Node;
157 155
    ///\e
158 156
    typedef typename Digraph::NodeIt NodeIt;
159 157
    ///\e
160 158
    typedef typename Digraph::Arc Arc;
161 159
    ///\e
162 160
    typedef typename Digraph::OutArcIt OutArcIt;
163 161
    
164 162
    ///\brief The type of the map that stores the last
165 163
    ///arcs of the %DFS paths.
166 164
    typedef typename TR::PredMap PredMap;
167 165
    ///The type of the map indicating which nodes are reached.
168 166
    typedef typename TR::ReachedMap ReachedMap;
169 167
    ///The type of the map indicating which nodes are processed.
170 168
    typedef typename TR::ProcessedMap ProcessedMap;
171 169
    ///The type of the map that stores the dists of the nodes.
172 170
    typedef typename TR::DistMap DistMap;
173 171
  private:
174 172
    /// Pointer to the underlying digraph.
175 173
    const Digraph *G;
176 174
    ///Pointer to the map of predecessors arcs.
177 175
    PredMap *_pred;
178 176
    ///Indicates if \ref _pred is locally allocated (\c true) or not.
179 177
    bool local_pred;
180 178
    ///Pointer to the map of distances.
181 179
    DistMap *_dist;
182 180
    ///Indicates if \ref _dist is locally allocated (\c true) or not.
183 181
    bool local_dist;
184 182
    ///Pointer to the map of reached status of the nodes.
185 183
    ReachedMap *_reached;
186 184
    ///Indicates if \ref _reached is locally allocated (\c true) or not.
187 185
    bool local_reached;
188 186
    ///Pointer to the map of processed status of the nodes.
189 187
    ProcessedMap *_processed;
190 188
    ///Indicates if \ref _processed is locally allocated (\c true) or not.
191 189
    bool local_processed;
192 190

	
193 191
    std::vector<typename Digraph::OutArcIt> _stack;
194 192
    int _stack_head;
195 193

	
196 194
    ///Creates the maps if necessary.
197 195
    
198 196
    ///\todo Better memory allocation (instead of new).
199 197
    void create_maps() 
200 198
    {
201 199
      if(!_pred) {
202 200
	local_pred = true;
203 201
	_pred = Traits::createPredMap(*G);
204 202
      }
205 203
      if(!_dist) {
206 204
	local_dist = true;
207 205
	_dist = Traits::createDistMap(*G);
208 206
      }
209 207
      if(!_reached) {
210 208
	local_reached = true;
211 209
	_reached = Traits::createReachedMap(*G);
212 210
      }
213 211
      if(!_processed) {
214 212
	local_processed = true;
215 213
	_processed = Traits::createProcessedMap(*G);
216 214
      }
217 215
    }
218 216

	
219 217
  protected:
220 218

	
221 219
    Dfs() {}
222 220
    
223 221
  public:
224 222

	
225 223
    typedef Dfs Create;
226 224

	
227 225
    ///\name Named template parameters
228 226

	
229 227
    ///@{
230 228

	
231 229
    template <class T>
232 230
    struct DefPredMapTraits : public Traits {
233 231
      typedef T PredMap;
234 232
      static PredMap *createPredMap(const Digraph &G) 
235 233
      {
236 234
	throw UninitializedParameter();
237 235
      }
238 236
    };
239 237
    ///\brief \ref named-templ-param "Named parameter" for setting
240 238
    ///PredMap type
241 239
    ///
242 240
    ///\ref named-templ-param "Named parameter" for setting PredMap type
243 241
    ///
244 242
    template <class T>
245 243
    struct DefPredMap : public Dfs<Digraph, DefPredMapTraits<T> > {
246 244
      typedef Dfs<Digraph, DefPredMapTraits<T> > Create;
247 245
    };
248 246
    
249 247
    
250 248
    template <class T>
251 249
    struct DefDistMapTraits : public Traits {
252 250
      typedef T DistMap;
253 251
      static DistMap *createDistMap(const Digraph &) 
254 252
      {
255 253
	throw UninitializedParameter();
256 254
      }
257 255
    };
258 256
    ///\brief \ref named-templ-param "Named parameter" for setting
259 257
    ///DistMap type
260 258
    ///
261 259
    ///\ref named-templ-param "Named parameter" for setting DistMap
262 260
    ///type
263 261
    template <class T>
264 262
    struct DefDistMap {
265 263
      typedef Dfs<Digraph, DefDistMapTraits<T> > Create;
266 264
    };
267 265
    
268 266
    template <class T>
269 267
    struct DefReachedMapTraits : public Traits {
270 268
      typedef T ReachedMap;
271 269
      static ReachedMap *createReachedMap(const Digraph &) 
272 270
      {
273 271
	throw UninitializedParameter();
274 272
      }
275 273
    };
276 274
    ///\brief \ref named-templ-param "Named parameter" for setting
277 275
    ///ReachedMap type
278 276
    ///
279 277
    ///\ref named-templ-param "Named parameter" for setting ReachedMap type
280 278
    ///
281 279
    template <class T>
282 280
    struct DefReachedMap : public Dfs< Digraph, DefReachedMapTraits<T> > {
283 281
      typedef Dfs< Digraph, DefReachedMapTraits<T> > Create;
284 282
    };
285 283

	
286 284
    template <class T>
287 285
    struct DefProcessedMapTraits : public Traits {
288 286
      typedef T ProcessedMap;
289 287
      static ProcessedMap *createProcessedMap(const Digraph &) 
290 288
      {
291 289
	throw UninitializedParameter();
292 290
      }
293 291
    };
294 292
    ///\brief \ref named-templ-param "Named parameter" for setting
295 293
    ///ProcessedMap type
296 294
    ///
297 295
    ///\ref named-templ-param "Named parameter" for setting ProcessedMap type
298 296
    ///
299 297
    template <class T>
300 298
    struct DefProcessedMap : public Dfs< Digraph, DefProcessedMapTraits<T> > { 
301 299
      typedef Dfs< Digraph, DefProcessedMapTraits<T> > Create;
302 300
    };
303 301
    
304 302
    struct DefDigraphProcessedMapTraits : public Traits {
305 303
      typedef typename Digraph::template NodeMap<bool> ProcessedMap;
306 304
      static ProcessedMap *createProcessedMap(const Digraph &G) 
307 305
      {
308 306
	return new ProcessedMap(G);
309 307
      }
310 308
    };
311 309
    ///\brief \ref named-templ-param "Named parameter"
312 310
    ///for setting the ProcessedMap type to be Digraph::NodeMap<bool>.
313 311
    ///
314 312
    ///\ref named-templ-param "Named parameter"
315 313
    ///for setting the ProcessedMap type to be Digraph::NodeMap<bool>.
316 314
    ///If you don't set it explicitely, it will be automatically allocated.
317 315
    template <class T>
318 316
    class DefProcessedMapToBeDefaultMap :
319 317
      public Dfs< Digraph, DefDigraphProcessedMapTraits> { 
320 318
      typedef Dfs< Digraph, DefDigraphProcessedMapTraits> Create;
321 319
    };
... ...
@@ -550,385 +548,385 @@
550 548
    ///This method runs the %DFS algorithm from the root node(s)
551 549
    ///in order to
552 550
    ///compute the
553 551
    ///%DFS path to \c dest. The algorithm computes
554 552
    ///- The %DFS path to \c  dest.
555 553
    ///- The distance of \c dest from the root(s) in the %DFS tree.
556 554
    ///
557 555
    void start(Node dest)
558 556
    {
559 557
      while ( !emptyQueue() && G->target(_stack[_stack_head])!=dest ) 
560 558
	processNextArc();
561 559
    }
562 560
    
563 561
    ///Executes the algorithm until a condition is met.
564 562

	
565 563
    ///Executes the algorithm until a condition is met.
566 564
    ///
567 565
    ///\pre init() must be called and at least one node should be added
568 566
    ///with addSource() before using this function.
569 567
    ///
570 568
    ///\param em must be a bool (or convertible) arc map. The algorithm
571 569
    ///will stop when it reaches an arc \c e with <tt>em[e]</tt> true.
572 570
    ///
573 571
    ///\return The reached arc \c e with <tt>em[e]</tt> true or
574 572
    ///\c INVALID if no such arc was found.
575 573
    ///
576 574
    ///\warning Contrary to \ref Bfs and \ref Dijkstra, \c em is an arc map,
577 575
    ///not a node map.
578 576
    template<class EM>
579 577
    Arc start(const EM &em)
580 578
    {
581 579
      while ( !emptyQueue() && !em[_stack[_stack_head]] )
582 580
        processNextArc();
583 581
      return emptyQueue() ? INVALID : _stack[_stack_head];
584 582
    }
585 583

	
586 584
    ///Runs %DFS algorithm to visit all nodes in the digraph.
587 585
    
588 586
    ///This method runs the %DFS algorithm in order to
589 587
    ///compute the
590 588
    ///%DFS path to each node. The algorithm computes
591 589
    ///- The %DFS tree.
592 590
    ///- The distance of each node from the root in the %DFS tree.
593 591
    ///
594 592
    ///\note d.run() is just a shortcut of the following code.
595 593
    ///\code
596 594
    ///  d.init();
597 595
    ///  for (NodeIt it(digraph); it != INVALID; ++it) {
598 596
    ///    if (!d.reached(it)) {
599 597
    ///      d.addSource(it);
600 598
    ///      d.start();
601 599
    ///    }
602 600
    ///  }
603 601
    ///\endcode
604 602
    void run() {
605 603
      init();
606 604
      for (NodeIt it(*G); it != INVALID; ++it) {
607 605
        if (!reached(it)) {
608 606
          addSource(it);
609 607
          start();
610 608
        }
611 609
      }
612 610
    }
613 611

	
614 612
    ///Runs %DFS algorithm from node \c s.
615 613
    
616 614
    ///This method runs the %DFS algorithm from a root node \c s
617 615
    ///in order to
618 616
    ///compute the
619 617
    ///%DFS path to each node. The algorithm computes
620 618
    ///- The %DFS tree.
621 619
    ///- The distance of each node from the root in the %DFS tree.
622 620
    ///
623 621
    ///\note d.run(s) is just a shortcut of the following code.
624 622
    ///\code
625 623
    ///  d.init();
626 624
    ///  d.addSource(s);
627 625
    ///  d.start();
628 626
    ///\endcode
629 627
    void run(Node s) {
630 628
      init();
631 629
      addSource(s);
632 630
      start();
633 631
    }
634 632
    
635 633
    ///Finds the %DFS path between \c s and \c t.
636 634
    
637 635
    ///Finds the %DFS path between \c s and \c t.
638 636
    ///
639 637
    ///\return The length of the %DFS s---t path if there exists one,
640 638
    ///0 otherwise.
641 639
    ///\note Apart from the return value, d.run(s,t) is
642 640
    ///just a shortcut of the following code.
643 641
    ///\code
644 642
    ///  d.init();
645 643
    ///  d.addSource(s);
646 644
    ///  d.start(t);
647 645
    ///\endcode
648 646
    int run(Node s,Node t) {
649 647
      init();
650 648
      addSource(s);
651 649
      start(t);
652 650
      return reached(t)?_stack_head+1:0;
653 651
    }
654 652
    
655 653
    ///@}
656 654

	
657 655
    ///\name Query Functions
658 656
    ///The result of the %DFS algorithm can be obtained using these
659 657
    ///functions.\n
660 658
    ///Before the use of these functions,
661 659
    ///either run() or start() must be called.
662 660
    
663 661
    ///@{
664 662

	
665 663
    typedef PredMapPath<Digraph, PredMap> Path;
666 664

	
667 665
    ///Gives back the shortest path.
668 666
    
669 667
    ///Gives back the shortest path.
670 668
    ///\pre The \c t should be reachable from the source.
671 669
    Path path(Node t) 
672 670
    {
673 671
      return Path(*G, *_pred, t);
674 672
    }
675 673

	
676 674
    ///The distance of a node from the root(s).
677 675

	
678 676
    ///Returns the distance of a node from the root(s).
679 677
    ///\pre \ref run() must be called before using this function.
680 678
    ///\warning If node \c v is unreachable from the root(s) then the return 
681 679
    ///value of this funcion is undefined.
682 680
    int dist(Node v) const { return (*_dist)[v]; }
683 681

	
684 682
    ///Returns the 'previous arc' of the %DFS tree.
685 683

	
686 684
    ///For a node \c v it returns the 'previous arc'
687 685
    ///of the %DFS path,
688 686
    ///i.e. it returns the last arc of a %DFS path from the root(s) to \c
689 687
    ///v. It is \ref INVALID
690 688
    ///if \c v is unreachable from the root(s) or \c v is a root. The
691 689
    ///%DFS tree used here is equal to the %DFS tree used in
692 690
    ///\ref predNode().
693 691
    ///\pre Either \ref run() or \ref start() must be called before using
694 692
    ///this function.
695 693
    Arc predArc(Node v) const { return (*_pred)[v];}
696 694

	
697 695
    ///Returns the 'previous node' of the %DFS tree.
698 696

	
699 697
    ///For a node \c v it returns the 'previous node'
700 698
    ///of the %DFS tree,
701 699
    ///i.e. it returns the last but one node from a %DFS path from the
702 700
    ///root(s) to \c v.
703 701
    ///It is INVALID if \c v is unreachable from the root(s) or
704 702
    ///if \c v itself a root.
705 703
    ///The %DFS tree used here is equal to the %DFS
706 704
    ///tree used in \ref predArc().
707 705
    ///\pre Either \ref run() or \ref start() must be called before
708 706
    ///using this function.
709 707
    Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID:
710 708
				  G->source((*_pred)[v]); }
711 709
    
712 710
    ///Returns a reference to the NodeMap of distances.
713 711

	
714 712
    ///Returns a reference to the NodeMap of distances.
715 713
    ///\pre Either \ref run() or \ref init() must
716 714
    ///be called before using this function.
717 715
    const DistMap &distMap() const { return *_dist;}
718 716
 
719 717
    ///Returns a reference to the %DFS arc-tree map.
720 718

	
721 719
    ///Returns a reference to the NodeMap of the arcs of the
722 720
    ///%DFS tree.
723 721
    ///\pre Either \ref run() or \ref init()
724 722
    ///must be called before using this function.
725 723
    const PredMap &predMap() const { return *_pred;}
726 724
 
727 725
    ///Checks if a node is reachable from the root.
728 726

	
729 727
    ///Returns \c true if \c v is reachable from the root(s).
730 728
    ///\warning The source nodes are inditated as unreachable.
731 729
    ///\pre Either \ref run() or \ref start()
732 730
    ///must be called before using this function.
733 731
    ///
734 732
    bool reached(Node v) { return (*_reached)[v]; }
735 733
    
736 734
    ///@}
737 735
  };
738 736

	
739 737
  ///Default traits class of Dfs function.
740 738

	
741 739
  ///Default traits class of Dfs function.
742
  ///\param GR Digraph type.
740
  ///\tparam GR Digraph type.
743 741
  template<class GR>
744 742
  struct DfsWizardDefaultTraits
745 743
  {
746 744
    ///The digraph type the algorithm runs on. 
747 745
    typedef GR Digraph;
748 746
    ///\brief The type of the map that stores the last
749 747
    ///arcs of the %DFS paths.
750 748
    /// 
751 749
    ///The type of the map that stores the last
752 750
    ///arcs of the %DFS paths.
753 751
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
754 752
    ///
755 753
    typedef NullMap<typename Digraph::Node,typename GR::Arc> PredMap;
756 754
    ///Instantiates a PredMap.
757 755
 
758 756
    ///This function instantiates a \ref PredMap. 
759 757
    ///\param g is the digraph, to which we would like to define the PredMap.
760 758
    ///\todo The digraph alone may be insufficient to initialize
761 759
#ifdef DOXYGEN
762 760
    static PredMap *createPredMap(const GR &g) 
763 761
#else
764 762
    static PredMap *createPredMap(const GR &) 
765 763
#endif
766 764
    {
767 765
      return new PredMap();
768 766
    }
769 767

	
770 768
    ///The type of the map that indicates which nodes are processed.
771 769
 
772 770
    ///The type of the map that indicates which nodes are processed.
773 771
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
774 772
    ///\todo named parameter to set this type, function to read and write.
775 773
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
776 774
    ///Instantiates a ProcessedMap.
777 775
 
778 776
    ///This function instantiates a \ref ProcessedMap. 
779 777
    ///\param g is the digraph, to which
780 778
    ///we would like to define the \ref ProcessedMap
781 779
#ifdef DOXYGEN
782 780
    static ProcessedMap *createProcessedMap(const GR &g)
783 781
#else
784 782
    static ProcessedMap *createProcessedMap(const GR &)
785 783
#endif
786 784
    {
787 785
      return new ProcessedMap();
788 786
    }
789 787
    ///The type of the map that indicates which nodes are reached.
790 788
 
791 789
    ///The type of the map that indicates which nodes are reached.
792 790
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
793 791
    ///\todo named parameter to set this type, function to read and write.
794 792
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
795 793
    ///Instantiates a ReachedMap.
796 794
 
797 795
    ///This function instantiates a \ref ReachedMap. 
798 796
    ///\param G is the digraph, to which
799 797
    ///we would like to define the \ref ReachedMap.
800 798
    static ReachedMap *createReachedMap(const GR &G)
801 799
    {
802 800
      return new ReachedMap(G);
803 801
    }
804 802
    ///The type of the map that stores the dists of the nodes.
805 803
 
806 804
    ///The type of the map that stores the dists of the nodes.
807 805
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
808 806
    ///
809 807
    typedef NullMap<typename Digraph::Node,int> DistMap;
810 808
    ///Instantiates a DistMap.
811 809
 
812 810
    ///This function instantiates a \ref DistMap. 
813 811
    ///\param g is the digraph, to which we would like to define the \ref DistMap
814 812
#ifdef DOXYGEN
815 813
    static DistMap *createDistMap(const GR &g)
816 814
#else
817 815
    static DistMap *createDistMap(const GR &)
818 816
#endif
819 817
    {
820 818
      return new DistMap();
821 819
    }
822 820
  };
823 821
  
824 822
  /// Default traits used by \ref DfsWizard
825 823

	
826 824
  /// To make it easier to use Dfs algorithm
827 825
  ///we have created a wizard class.
828 826
  /// This \ref DfsWizard class needs default traits,
829 827
  ///as well as the \ref Dfs class.
830 828
  /// The \ref DfsWizardBase is a class to be the default traits of the
831 829
  /// \ref DfsWizard class.
832 830
  template<class GR>
833 831
  class DfsWizardBase : public DfsWizardDefaultTraits<GR>
834 832
  {
835 833

	
836 834
    typedef DfsWizardDefaultTraits<GR> Base;
837 835
  protected:
838 836
    /// Type of the nodes in the digraph.
839 837
    typedef typename Base::Digraph::Node Node;
840 838

	
841 839
    /// Pointer to the underlying digraph.
842 840
    void *_g;
843 841
    ///Pointer to the map of reached nodes.
844 842
    void *_reached;
845 843
    ///Pointer to the map of processed nodes.
846 844
    void *_processed;
847 845
    ///Pointer to the map of predecessors arcs.
848 846
    void *_pred;
849 847
    ///Pointer to the map of distances.
850 848
    void *_dist;
851 849
    ///Pointer to the source node.
852 850
    Node _source;
853 851
    
854 852
    public:
855 853
    /// Constructor.
856 854
    
857 855
    /// This constructor does not require parameters, therefore it initiates
858 856
    /// all of the attributes to default values (0, INVALID).
859 857
    DfsWizardBase() : _g(0), _reached(0), _processed(0), _pred(0),
860 858
			   _dist(0), _source(INVALID) {}
861 859

	
862 860
    /// Constructor.
863 861
    
864 862
    /// This constructor requires some parameters,
865 863
    /// listed in the parameters list.
866 864
    /// Others are initiated to 0.
867 865
    /// \param g is the initial value of  \ref _g
868 866
    /// \param s is the initial value of  \ref _source
869 867
    DfsWizardBase(const GR &g, Node s=INVALID) :
870 868
      _g(reinterpret_cast<void*>(const_cast<GR*>(&g))), 
871 869
      _reached(0), _processed(0), _pred(0), _dist(0), _source(s) {}
872 870

	
873 871
  };
874 872
  
875 873
  /// A class to make the usage of the Dfs algorithm easier
876 874

	
877 875
  /// This class is created to make it easier to use the Dfs algorithm.
878 876
  /// It uses the functions and features of the plain \ref Dfs,
879 877
  /// but it is much simpler to use it.
880 878
  ///
881 879
  /// Simplicity means that the way to change the types defined
882 880
  /// in the traits class is based on functions that returns the new class
883 881
  /// and not on templatable built-in classes.
884 882
  /// When using the plain \ref Dfs
885 883
  /// the new class with the modified type comes from
886 884
  /// the original class by using the ::
887 885
  /// operator. In the case of \ref DfsWizard only
888 886
  /// a function have to be called and it will
889 887
  /// return the needed class.
890 888
  ///
891 889
  /// It does not have own \ref run method. When its \ref run method is called
892 890
  /// it initiates a plain \ref Dfs object, and calls the \ref Dfs::run
893 891
  /// method of it.
894 892
  template<class TR>
895 893
  class DfsWizard : public TR
896 894
  {
897 895
    typedef TR Base;
898 896

	
899 897
    ///The type of the underlying digraph.
900 898
    typedef typename TR::Digraph Digraph;
901 899
    //\e
902 900
    typedef typename Digraph::Node Node;
903 901
    //\e
904 902
    typedef typename Digraph::NodeIt NodeIt;
905 903
    //\e
906 904
    typedef typename Digraph::Arc Arc;
907 905
    //\e
908 906
    typedef typename Digraph::OutArcIt OutArcIt;
909 907
    
910 908
    ///\brief The type of the map that stores
911 909
    ///the reached nodes
912 910
    typedef typename TR::ReachedMap ReachedMap;
913 911
    ///\brief The type of the map that stores
914 912
    ///the processed nodes
915 913
    typedef typename TR::ProcessedMap ProcessedMap;
916 914
    ///\brief The type of the map that stores the last
917 915
    ///arcs of the %DFS paths.
918 916
    typedef typename TR::PredMap PredMap;
919 917
    ///The type of the map that stores the distances of the nodes.
920 918
    typedef typename TR::DistMap DistMap;
921 919

	
922 920
  public:
923 921
    /// Constructor.
924 922
    DfsWizard() : TR() {}
925 923

	
926 924
    /// Constructor that requires parameters.
927 925

	
928 926
    /// Constructor that requires parameters.
929 927
    /// These parameters will be the default values for the traits class.
930 928
    DfsWizard(const Digraph &g, Node s=INVALID) :
931 929
      TR(g,s) {}
932 930

	
933 931
    ///Copy constructor
934 932
    DfsWizard(const TR &b) : TR(b) {}
... ...
@@ -971,427 +969,427 @@
971 969
      DefPredMapBase(const TR &b) : TR(b) {}
972 970
    };
973 971
    
974 972
    ///\brief \ref named-templ-param "Named parameter"
975 973
    ///function for setting PredMap type
976 974
    ///
977 975
    /// \ref named-templ-param "Named parameter"
978 976
    ///function for setting PredMap type
979 977
    ///
980 978
    template<class T>
981 979
    DfsWizard<DefPredMapBase<T> > predMap(const T &t) 
982 980
    {
983 981
      Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t));
984 982
      return DfsWizard<DefPredMapBase<T> >(*this);
985 983
    }
986 984
    
987 985
 
988 986
    template<class T>
989 987
    struct DefReachedMapBase : public Base {
990 988
      typedef T ReachedMap;
991 989
      static ReachedMap *createReachedMap(const Digraph &) { return 0; };
992 990
      DefReachedMapBase(const TR &b) : TR(b) {}
993 991
    };
994 992
    
995 993
    ///\brief \ref named-templ-param "Named parameter"
996 994
    ///function for setting ReachedMap
997 995
    ///
998 996
    /// \ref named-templ-param "Named parameter"
999 997
    ///function for setting ReachedMap
1000 998
    ///
1001 999
    template<class T>
1002 1000
    DfsWizard<DefReachedMapBase<T> > reachedMap(const T &t) 
1003 1001
    {
1004 1002
      Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t));
1005 1003
      return DfsWizard<DefReachedMapBase<T> >(*this);
1006 1004
    }
1007 1005
    
1008 1006

	
1009 1007
    template<class T>
1010 1008
    struct DefProcessedMapBase : public Base {
1011 1009
      typedef T ProcessedMap;
1012 1010
      static ProcessedMap *createProcessedMap(const Digraph &) { return 0; };
1013 1011
      DefProcessedMapBase(const TR &b) : TR(b) {}
1014 1012
    };
1015 1013
    
1016 1014
    ///\brief \ref named-templ-param "Named parameter"
1017 1015
    ///function for setting ProcessedMap
1018 1016
    ///
1019 1017
    /// \ref named-templ-param "Named parameter"
1020 1018
    ///function for setting ProcessedMap
1021 1019
    ///
1022 1020
    template<class T>
1023 1021
    DfsWizard<DefProcessedMapBase<T> > processedMap(const T &t) 
1024 1022
    {
1025 1023
      Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t));
1026 1024
      return DfsWizard<DefProcessedMapBase<T> >(*this);
1027 1025
    }
1028 1026
    
1029 1027
    template<class T>
1030 1028
    struct DefDistMapBase : public Base {
1031 1029
      typedef T DistMap;
1032 1030
      static DistMap *createDistMap(const Digraph &) { return 0; };
1033 1031
      DefDistMapBase(const TR &b) : TR(b) {}
1034 1032
    };
1035 1033
    
1036 1034
    ///\brief \ref named-templ-param "Named parameter"
1037 1035
    ///function for setting DistMap type
1038 1036
    ///
1039 1037
    /// \ref named-templ-param "Named parameter"
1040 1038
    ///function for setting DistMap type
1041 1039
    ///
1042 1040
    template<class T>
1043 1041
    DfsWizard<DefDistMapBase<T> > distMap(const T &t) 
1044 1042
    {
1045 1043
      Base::_dist=reinterpret_cast<void*>(const_cast<T*>(&t));
1046 1044
      return DfsWizard<DefDistMapBase<T> >(*this);
1047 1045
    }
1048 1046
    
1049 1047
    /// Sets the source node, from which the Dfs algorithm runs.
1050 1048

	
1051 1049
    /// Sets the source node, from which the Dfs algorithm runs.
1052 1050
    /// \param s is the source node.
1053 1051
    DfsWizard<TR> &source(Node s) 
1054 1052
    {
1055 1053
      Base::_source=s;
1056 1054
      return *this;
1057 1055
    }
1058 1056
    
1059 1057
  };
1060 1058
  
1061 1059
  ///Function type interface for Dfs algorithm.
1062 1060

	
1063 1061
  ///\ingroup search
1064 1062
  ///Function type interface for Dfs algorithm.
1065 1063
  ///
1066 1064
  ///This function also has several
1067 1065
  ///\ref named-templ-func-param "named parameters",
1068 1066
  ///they are declared as the members of class \ref DfsWizard.
1069 1067
  ///The following
1070 1068
  ///example shows how to use these parameters.
1071 1069
  ///\code
1072 1070
  ///  dfs(g,source).predMap(preds).run();
1073 1071
  ///\endcode
1074 1072
  ///\warning Don't forget to put the \ref DfsWizard::run() "run()"
1075 1073
  ///to the end of the parameter list.
1076 1074
  ///\sa DfsWizard
1077 1075
  ///\sa Dfs
1078 1076
  template<class GR>
1079 1077
  DfsWizard<DfsWizardBase<GR> >
1080 1078
  dfs(const GR &g,typename GR::Node s=INVALID)
1081 1079
  {
1082 1080
    return DfsWizard<DfsWizardBase<GR> >(g,s);
1083 1081
  }
1084 1082

	
1085 1083
#ifdef DOXYGEN
1086 1084
  /// \brief Visitor class for dfs.
1087 1085
  ///  
1088 1086
  /// It gives a simple interface for a functional interface for dfs 
1089 1087
  /// traversal. The traversal on a linear data structure. 
1090 1088
  template <typename _Digraph>
1091 1089
  struct DfsVisitor {
1092 1090
    typedef _Digraph Digraph;
1093 1091
    typedef typename Digraph::Arc Arc;
1094 1092
    typedef typename Digraph::Node Node;
1095 1093
    /// \brief Called when the arc reach a node.
1096 1094
    /// 
1097 1095
    /// It is called when the dfs find an arc which target is not
1098 1096
    /// reached yet.
1099 1097
    void discover(const Arc& arc) {}
1100 1098
    /// \brief Called when the node reached first time.
1101 1099
    /// 
1102 1100
    /// It is Called when the node reached first time.
1103 1101
    void reach(const Node& node) {}
1104 1102
    /// \brief Called when we step back on an arc.
1105 1103
    /// 
1106 1104
    /// It is called when the dfs should step back on the arc.
1107 1105
    void backtrack(const Arc& arc) {}
1108 1106
    /// \brief Called when we step back from the node.
1109 1107
    /// 
1110 1108
    /// It is called when we step back from the node.
1111 1109
    void leave(const Node& node) {}
1112 1110
    /// \brief Called when the arc examined but target of the arc 
1113 1111
    /// already discovered.
1114 1112
    /// 
1115 1113
    /// It called when the arc examined but the target of the arc 
1116 1114
    /// already discovered.
1117 1115
    void examine(const Arc& arc) {}
1118 1116
    /// \brief Called for the source node of the dfs.
1119 1117
    /// 
1120 1118
    /// It is called for the source node of the dfs.
1121 1119
    void start(const Node& node) {}
1122 1120
    /// \brief Called when we leave the source node of the dfs.
1123 1121
    /// 
1124 1122
    /// It is called when we leave the source node of the dfs.
1125 1123
    void stop(const Node& node) {}
1126 1124

	
1127 1125
  };
1128 1126
#else
1129 1127
  template <typename _Digraph>
1130 1128
  struct DfsVisitor {
1131 1129
    typedef _Digraph Digraph;
1132 1130
    typedef typename Digraph::Arc Arc;
1133 1131
    typedef typename Digraph::Node Node;
1134 1132
    void discover(const Arc&) {}
1135 1133
    void reach(const Node&) {}
1136 1134
    void backtrack(const Arc&) {}
1137 1135
    void leave(const Node&) {}
1138 1136
    void examine(const Arc&) {}
1139 1137
    void start(const Node&) {}
1140 1138
    void stop(const Node&) {}
1141 1139

	
1142 1140
    template <typename _Visitor>
1143 1141
    struct Constraints {
1144 1142
      void constraints() {
1145 1143
	Arc arc;
1146 1144
	Node node;
1147 1145
	visitor.discover(arc);
1148 1146
	visitor.reach(node);
1149 1147
	visitor.backtrack(arc);
1150 1148
	visitor.leave(node);
1151 1149
	visitor.examine(arc);
1152 1150
	visitor.start(node);
1153 1151
	visitor.stop(arc);
1154 1152
      }
1155 1153
      _Visitor& visitor;
1156 1154
    };
1157 1155
  };
1158 1156
#endif
1159 1157

	
1160 1158
  /// \brief Default traits class of DfsVisit class.
1161 1159
  ///
1162 1160
  /// Default traits class of DfsVisit class.
1163
  /// \param _Digraph Digraph type.
1161
  /// \tparam _Digraph Digraph type.
1164 1162
  template<class _Digraph>
1165 1163
  struct DfsVisitDefaultTraits {
1166 1164

	
1167 1165
    /// \brief The digraph type the algorithm runs on. 
1168 1166
    typedef _Digraph Digraph;
1169 1167

	
1170 1168
    /// \brief The type of the map that indicates which nodes are reached.
1171 1169
    /// 
1172 1170
    /// The type of the map that indicates which nodes are reached.
1173 1171
    /// It must meet the \ref concepts::WriteMap "WriteMap" concept.
1174 1172
    /// \todo named parameter to set this type, function to read and write.
1175 1173
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
1176 1174

	
1177 1175
    /// \brief Instantiates a ReachedMap.
1178 1176
    ///
1179 1177
    /// This function instantiates a \ref ReachedMap. 
1180 1178
    /// \param digraph is the digraph, to which
1181 1179
    /// we would like to define the \ref ReachedMap.
1182 1180
    static ReachedMap *createReachedMap(const Digraph &digraph) {
1183 1181
      return new ReachedMap(digraph);
1184 1182
    }
1185 1183

	
1186 1184
  };
1187 1185
  
1188 1186
  /// %DFS Visit algorithm class.
1189 1187
  
1190 1188
  /// \ingroup search
1191 1189
  /// This class provides an efficient implementation of the %DFS algorithm
1192 1190
  /// with visitor interface.
1193 1191
  ///
1194 1192
  /// The %DfsVisit class provides an alternative interface to the Dfs
1195 1193
  /// class. It works with callback mechanism, the DfsVisit object calls
1196 1194
  /// on every dfs event the \c Visitor class member functions. 
1197 1195
  ///
1198
  /// \param _Digraph The digraph type the algorithm runs on. The default value is
1196
  /// \tparam _Digraph The digraph type the algorithm runs on. The default value is
1199 1197
  /// \ref ListDigraph. The value of _Digraph is not used directly by Dfs, it
1200 1198
  /// is only passed to \ref DfsDefaultTraits.
1201
  /// \param _Visitor The Visitor object for the algorithm. The 
1199
  /// \tparam _Visitor The Visitor object for the algorithm. The 
1202 1200
  /// \ref DfsVisitor "DfsVisitor<_Digraph>" is an empty Visitor which
1203 1201
  /// does not observe the Dfs events. If you want to observe the dfs
1204 1202
  /// events you should implement your own Visitor class.
1205
  /// \param _Traits Traits class to set various data types used by the 
1203
  /// \tparam _Traits Traits class to set various data types used by the 
1206 1204
  /// algorithm. The default traits class is
1207 1205
  /// \ref DfsVisitDefaultTraits "DfsVisitDefaultTraits<_Digraph>".
1208 1206
  /// See \ref DfsVisitDefaultTraits for the documentation of
1209 1207
  /// a Dfs visit traits class.
1210 1208
  ///
1211 1209
  /// \author Jacint Szabo, Alpar Juttner and Balazs Dezso
1212 1210
#ifdef DOXYGEN
1213 1211
  template <typename _Digraph, typename _Visitor, typename _Traits>
1214 1212
#else
1215 1213
  template <typename _Digraph = ListDigraph,
1216 1214
	    typename _Visitor = DfsVisitor<_Digraph>,
1217 1215
	    typename _Traits = DfsDefaultTraits<_Digraph> >
1218 1216
#endif
1219 1217
  class DfsVisit {
1220 1218
  public:
1221 1219
    
1222 1220
    /// \brief \ref Exception for uninitialized parameters.
1223 1221
    ///
1224 1222
    /// This error represents problems in the initialization
1225 1223
    /// of the parameters of the algorithms.
1226 1224
    class UninitializedParameter : public lemon::UninitializedParameter {
1227 1225
    public:
1228 1226
      virtual const char* what() const throw() 
1229 1227
      {
1230 1228
	return "lemon::DfsVisit::UninitializedParameter";
1231 1229
      }
1232 1230
    };
1233 1231

	
1234 1232
    typedef _Traits Traits;
1235 1233

	
1236 1234
    typedef typename Traits::Digraph Digraph;
1237 1235

	
1238 1236
    typedef _Visitor Visitor;
1239 1237

	
1240 1238
    ///The type of the map indicating which nodes are reached.
1241 1239
    typedef typename Traits::ReachedMap ReachedMap;
1242 1240

	
1243 1241
  private:
1244 1242

	
1245 1243
    typedef typename Digraph::Node Node;
1246 1244
    typedef typename Digraph::NodeIt NodeIt;
1247 1245
    typedef typename Digraph::Arc Arc;
1248 1246
    typedef typename Digraph::OutArcIt OutArcIt;
1249 1247

	
1250 1248
    /// Pointer to the underlying digraph.
1251 1249
    const Digraph *_digraph;
1252 1250
    /// Pointer to the visitor object.
1253 1251
    Visitor *_visitor;
1254 1252
    ///Pointer to the map of reached status of the nodes.
1255 1253
    ReachedMap *_reached;
1256 1254
    ///Indicates if \ref _reached is locally allocated (\c true) or not.
1257 1255
    bool local_reached;
1258 1256

	
1259 1257
    std::vector<typename Digraph::Arc> _stack;
1260 1258
    int _stack_head;
1261 1259

	
1262 1260
    /// \brief Creates the maps if necessary.
1263 1261
    ///
1264 1262
    /// Creates the maps if necessary.
1265 1263
    void create_maps() {
1266 1264
      if(!_reached) {
1267 1265
	local_reached = true;
1268 1266
	_reached = Traits::createReachedMap(*_digraph);
1269 1267
      }
1270 1268
    }
1271 1269

	
1272 1270
  protected:
1273 1271

	
1274 1272
    DfsVisit() {}
1275 1273
    
1276 1274
  public:
1277 1275

	
1278 1276
    typedef DfsVisit Create;
1279 1277

	
1280 1278
    /// \name Named template parameters
1281 1279

	
1282 1280
    ///@{
1283 1281
    template <class T>
1284 1282
    struct DefReachedMapTraits : public Traits {
1285 1283
      typedef T ReachedMap;
1286 1284
      static ReachedMap *createReachedMap(const Digraph &digraph) {
1287 1285
	throw UninitializedParameter();
1288 1286
      }
1289 1287
    };
1290 1288
    /// \brief \ref named-templ-param "Named parameter" for setting 
1291 1289
    /// ReachedMap type
1292 1290
    ///
1293 1291
    /// \ref named-templ-param "Named parameter" for setting ReachedMap type
1294 1292
    template <class T>
1295 1293
    struct DefReachedMap : public DfsVisit< Digraph, Visitor,
1296 1294
					    DefReachedMapTraits<T> > {
1297 1295
      typedef DfsVisit< Digraph, Visitor, DefReachedMapTraits<T> > Create;
1298 1296
    };
1299 1297
    ///@}
1300 1298

	
1301 1299
  public:      
1302 1300
    
1303 1301
    /// \brief Constructor.
1304 1302
    ///
1305 1303
    /// Constructor.
1306 1304
    ///
1307 1305
    /// \param digraph the digraph the algorithm will run on.
1308 1306
    /// \param visitor The visitor of the algorithm.
1309 1307
    ///
1310 1308
    DfsVisit(const Digraph& digraph, Visitor& visitor) 
1311 1309
      : _digraph(&digraph), _visitor(&visitor),
1312 1310
	_reached(0), local_reached(false) {}
1313 1311
    
1314 1312
    /// \brief Destructor.
1315 1313
    ///
1316 1314
    /// Destructor.
1317 1315
    ~DfsVisit() {
1318 1316
      if(local_reached) delete _reached;
1319 1317
    }
1320 1318

	
1321 1319
    /// \brief Sets the map indicating if a node is reached.
1322 1320
    ///
1323 1321
    /// Sets the map indicating if a node is reached.
1324 1322
    /// If you don't use this function before calling \ref run(),
1325 1323
    /// it will allocate one. The destuctor deallocates this
1326 1324
    /// automatically allocated map, of course.
1327 1325
    /// \return <tt> (*this) </tt>
1328 1326
    DfsVisit &reachedMap(ReachedMap &m) {
1329 1327
      if(local_reached) {
1330 1328
	delete _reached;
1331 1329
	local_reached=false;
1332 1330
      }
1333 1331
      _reached = &m;
1334 1332
      return *this;
1335 1333
    }
1336 1334

	
1337 1335
  public:
1338 1336
    /// \name Execution control
1339 1337
    /// The simplest way to execute the algorithm is to use
1340 1338
    /// one of the member functions called \c run(...).
1341 1339
    /// \n
1342 1340
    /// If you need more control on the execution,
1343 1341
    /// first you must call \ref init(), then you can adda source node
1344 1342
    /// with \ref addSource().
1345 1343
    /// Finally \ref start() will perform the actual path
1346 1344
    /// computation.
1347 1345

	
1348 1346
    /// @{
1349 1347
    /// \brief Initializes the internal data structures.
1350 1348
    ///
1351 1349
    /// Initializes the internal data structures.
1352 1350
    ///
1353 1351
    void init() {
1354 1352
      create_maps();
1355 1353
      _stack.resize(countNodes(*_digraph));
1356 1354
      _stack_head = -1;
1357 1355
      for (NodeIt u(*_digraph) ; u != INVALID ; ++u) {
1358 1356
	_reached->set(u, false);
1359 1357
      }
1360 1358
    }
1361 1359
    
1362 1360
    /// \brief Adds a new source node.
1363 1361
    ///
1364 1362
    /// Adds a new source node to the set of nodes to be processed.
1365 1363
    void addSource(Node s) {
1366 1364
      if(!(*_reached)[s]) {
1367 1365
	  _reached->set(s,true);
1368 1366
	  _visitor->start(s);
1369 1367
	  _visitor->reach(s);
1370 1368
	  Arc e; 
1371 1369
	  _digraph->firstOut(e, s);
1372 1370
	  if (e != INVALID) {
1373 1371
	    _stack[++_stack_head] = e;
1374 1372
	  } else {
1375 1373
	    _visitor->leave(s);
1376 1374
	  }
1377 1375
	}
1378 1376
    }
1379 1377
    
1380 1378
    /// \brief Processes the next arc.
1381 1379
    ///
1382 1380
    /// Processes the next arc.
1383 1381
    ///
1384 1382
    /// \return The processed arc.
1385 1383
    ///
1386 1384
    /// \pre The stack must not be empty!
1387 1385
    Arc processNextArc() { 
1388 1386
      Arc e = _stack[_stack_head];
1389 1387
      Node m = _digraph->target(e);
1390 1388
      if(!(*_reached)[m]) {
1391 1389
	_visitor->discover(e);
1392 1390
	_visitor->reach(m);
1393 1391
	_reached->set(m, true);
1394 1392
	_digraph->firstOut(_stack[++_stack_head], m);
1395 1393
      } else {
1396 1394
	_visitor->examine(e);
1397 1395
	m = _digraph->source(e);
Ignore white space 6 line context
1 1
/* -*- C++ -*-
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

	
27 27
#include <lemon/list_digraph.h>
28 28
#include <lemon/bin_heap.h>
29 29
#include <lemon/bits/path_dump.h>
30 30
#include <lemon/bits/invalid.h>
31 31
#include <lemon/error.h>
32 32
#include <lemon/maps.h>
33 33

	
34 34

	
35 35
namespace lemon {
36 36

	
37 37
  /// \brief Default OperationTraits for the Dijkstra algorithm class.
38 38
  ///  
39 39
  /// It defines all computational operations and constants which are
40 40
  /// 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 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 OperationTraits for the Dijkstra algorithm class.
58 58
  ///  
59 59
  /// It defines all computational operations and constants which are
60 60
  /// used in the Dijkstra algorithm for widest path computation.
61 61
  template <typename Value>
62 62
  struct DijkstraWidestPathOperationTraits {
63 63
    /// \brief Gives back the maximum value of the type.
64 64
    static Value zero() {
65 65
      return std::numeric_limits<Value>::max();
66 66
    }
67 67
    /// \brief Gives back the minimum of the given two elements.
68 68
    static Value plus(const Value& left, const Value& right) {
69 69
      return std::min(left, right);
70 70
    }
71 71
    /// \brief Gives back true only if the first value less than the second.
72 72
    static bool less(const Value& left, const Value& right) {
73 73
      return left < right;
74 74
    }
75 75
  };
76 76
  
77 77
  ///Default traits class of Dijkstra class.
78 78

	
79 79
  ///Default traits class of Dijkstra class.
80
  ///\param GR Digraph type.
81
  ///\param LM Type of length map.
80
  ///\tparam GR Digraph type.
81
  ///\tparam LM Type of length map.
82 82
  template<class GR, class LM>
83 83
  struct DijkstraDefaultTraits
84 84
  {
85 85
    ///The digraph type the algorithm runs on. 
86 86
    typedef GR Digraph;
87 87
    ///The type of the map that stores the arc lengths.
88 88

	
89 89
    ///The type of the map that stores the arc lengths.
90 90
    ///It must meet the \ref concepts::ReadMap "ReadMap" concept.
91 91
    typedef LM LengthMap;
92 92
    //The type of the length of the arcs.
93 93
    typedef typename LM::Value Value;
94 94
    /// Operation traits for Dijkstra algorithm.
95 95

	
96 96
    /// It defines the used operation by the algorithm.
97 97
    /// \see DijkstraDefaultOperationTraits
98 98
    typedef DijkstraDefaultOperationTraits<Value> OperationTraits;
99 99
    /// The cross reference type used by heap.
100 100

	
101 101

	
102 102
    /// The cross reference type used by heap.
103 103
    /// Usually it is \c Digraph::NodeMap<int>.
104 104
    typedef typename Digraph::template NodeMap<int> HeapCrossRef;
105 105
    ///Instantiates a HeapCrossRef.
106 106

	
107 107
    ///This function instantiates a \c HeapCrossRef. 
108 108
    /// \param G is the digraph, to which we would like to define the 
109 109
    /// HeapCrossRef.
110 110
    static HeapCrossRef *createHeapCrossRef(const GR &G) 
111 111
    {
112 112
      return new HeapCrossRef(G);
113 113
    }
114 114
    
115 115
    ///The heap type used by Dijkstra algorithm.
116 116

	
117 117
    ///The heap type used by Dijkstra algorithm.
118 118
    ///
119 119
    ///\sa BinHeap
120 120
    ///\sa Dijkstra
121 121
    typedef BinHeap<typename LM::Value, HeapCrossRef, std::less<Value> > Heap;
122 122

	
123 123
    static Heap *createHeap(HeapCrossRef& R) 
124 124
    {
125 125
      return new Heap(R);
126 126
    }
127 127

	
128 128
    ///\brief The type of the map that stores the last
129 129
    ///arcs of the shortest paths.
130 130
    /// 
131 131
    ///The type of the map that stores the last
132 132
    ///arcs of the shortest paths.
133 133
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
134 134
    ///
135 135
    typedef typename Digraph::template NodeMap<typename GR::Arc> PredMap;
136 136
    ///Instantiates a PredMap.
137 137
 
138 138
    ///This function instantiates a \c PredMap. 
139 139
    ///\param G is the digraph, to which we would like to define the PredMap.
140 140
    ///\todo The digraph alone may be insufficient for the initialization
141 141
    static PredMap *createPredMap(const GR &G) 
142 142
    {
143 143
      return new PredMap(G);
144 144
    }
145 145

	
146 146
    ///The type of the map that stores whether a nodes is processed.
147 147
 
148 148
    ///The type of the map that stores whether a nodes is processed.
149 149
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
150 150
    ///By default it is a NullMap.
151 151
    ///\todo If it is set to a real map,
152 152
    ///Dijkstra::processed() should read this.
153 153
    ///\todo named parameter to set this type, function to read and write.
154 154
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
155 155
    ///Instantiates a ProcessedMap.
156 156
 
157 157
    ///This function instantiates a \c ProcessedMap. 
158 158
    ///\param g is the digraph, to which
159 159
    ///we would like to define the \c ProcessedMap
160 160
#ifdef DOXYGEN
161 161
    static ProcessedMap *createProcessedMap(const GR &g)
162 162
#else
163 163
    static ProcessedMap *createProcessedMap(const GR &)
164 164
#endif
165 165
    {
166 166
      return new ProcessedMap();
167 167
    }
168 168
    ///The type of the map that stores the dists of the nodes.
169 169
 
170 170
    ///The type of the map that stores the dists of the nodes.
171 171
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
172 172
    ///
173 173
    typedef typename Digraph::template NodeMap<typename LM::Value> DistMap;
174 174
    ///Instantiates a DistMap.
175 175
 
176 176
    ///This function instantiates a \ref DistMap. 
177 177
    ///\param G is the digraph, to which we would like to define the \ref DistMap
178 178
    static DistMap *createDistMap(const GR &G)
179 179
    {
180 180
      return new DistMap(G);
181 181
    }
182 182
  };
183 183
  
184 184
  ///%Dijkstra algorithm class.
185 185
  
186 186
  /// \ingroup shortest_path
187 187
  ///This class provides an efficient implementation of %Dijkstra algorithm.
188 188
  ///The arc lengths are passed to the algorithm using a
189 189
  ///\ref concepts::ReadMap "ReadMap",
190 190
  ///so it is easy to change it to any kind of length.
191 191
  ///
192 192
  ///The type of the length is determined by the
193 193
  ///\ref concepts::ReadMap::Value "Value" of the length map.
194 194
  ///
195 195
  ///It is also possible to change the underlying priority heap.
196 196
  ///
197
  ///\param GR The digraph type the algorithm runs on. The default value
197
  ///\tparam GR The digraph type the algorithm runs on. The default value
198 198
  ///is \ref ListDigraph. The value of GR is not used directly by
199 199
  ///Dijkstra, it is only passed to \ref DijkstraDefaultTraits.
200
  ///\param LM This read-only ArcMap determines the lengths of the
200
  ///\tparam LM This read-only ArcMap determines the lengths of the
201 201
  ///arcs. It is read once for each arc, so the map may involve in
202 202
  ///relatively time consuming process to compute the arc length if
203 203
  ///it is necessary. The default map type is \ref
204 204
  ///concepts::Digraph::ArcMap "Digraph::ArcMap<int>".  The value
205 205
  ///of LM is not used directly by Dijkstra, it is only passed to \ref
206
  ///DijkstraDefaultTraits.  \param TR Traits class to set
206
  ///DijkstraDefaultTraits.  
207
  ///\tparam TR Traits class to set
207 208
  ///various data types used by the algorithm.  The default traits
208 209
  ///class is \ref DijkstraDefaultTraits
209 210
  ///"DijkstraDefaultTraits<GR,LM>".  See \ref
210 211
  ///DijkstraDefaultTraits for the documentation of a Dijkstra traits
211 212
  ///class.
212
  ///
213
  ///\author Jacint Szabo and Alpar Juttner
214 213

	
215 214
#ifdef DOXYGEN
216 215
  template <typename GR, typename LM, typename TR>
217 216
#else
218 217
  template <typename GR=ListDigraph,
219 218
	    typename LM=typename GR::template ArcMap<int>,
220 219
	    typename TR=DijkstraDefaultTraits<GR,LM> >
221 220
#endif
222 221
  class Dijkstra {
223 222
  public:
224 223
    /**
225 224
     * \brief \ref Exception for uninitialized parameters.
226 225
     *
227 226
     * This error represents problems in the initialization
228 227
     * of the parameters of the algorithms.
229 228
     */
230 229
    class UninitializedParameter : public lemon::UninitializedParameter {
231 230
    public:
232 231
      virtual const char* what() const throw() {
233 232
	return "lemon::Dijkstra::UninitializedParameter";
234 233
      }
235 234
    };
236 235

	
237 236
    typedef TR Traits;
238 237
    ///The type of the underlying digraph.
239 238
    typedef typename TR::Digraph Digraph;
240 239
    ///\e
241 240
    typedef typename Digraph::Node Node;
242 241
    ///\e
243 242
    typedef typename Digraph::NodeIt NodeIt;
244 243
    ///\e
245 244
    typedef typename Digraph::Arc Arc;
246 245
    ///\e
247 246
    typedef typename Digraph::OutArcIt OutArcIt;
248 247
    
249 248
    ///The type of the length of the arcs.
250 249
    typedef typename TR::LengthMap::Value Value;
251 250
    ///The type of the map that stores the arc lengths.
252 251
    typedef typename TR::LengthMap LengthMap;
253 252
    ///\brief The type of the map that stores the last
254 253
    ///arcs of the shortest paths.
255 254
    typedef typename TR::PredMap PredMap;
256 255
    ///The type of the map indicating if a node is processed.
257 256
    typedef typename TR::ProcessedMap ProcessedMap;
258 257
    ///The type of the map that stores the dists of the nodes.
259 258
    typedef typename TR::DistMap DistMap;
260 259
    ///The cross reference type used for the current heap.
261 260
    typedef typename TR::HeapCrossRef HeapCrossRef;
262 261
    ///The heap type used by the dijkstra algorithm.
263 262
    typedef typename TR::Heap Heap;
264 263
    ///The operation traits.
265 264
    typedef typename TR::OperationTraits OperationTraits;
266 265
  private:
267 266
    /// Pointer to the underlying digraph.
268 267
    const Digraph *G;
269 268
    /// Pointer to the length map
270 269
    const LengthMap *length;
271 270
    ///Pointer to the map of predecessors arcs.
272 271
    PredMap *_pred;
273 272
    ///Indicates if \ref _pred is locally allocated (\c true) or not.
274 273
    bool local_pred;
275 274
    ///Pointer to the map of distances.
276 275
    DistMap *_dist;
277 276
    ///Indicates if \ref _dist is locally allocated (\c true) or not.
278 277
    bool local_dist;
279 278
    ///Pointer to the map of processed status of the nodes.
280 279
    ProcessedMap *_processed;
281 280
    ///Indicates if \ref _processed is locally allocated (\c true) or not.
282 281
    bool local_processed;
283 282
    ///Pointer to the heap cross references.
284 283
    HeapCrossRef *_heap_cross_ref;
285 284
    ///Indicates if \ref _heap_cross_ref is locally allocated (\c true) or not.
286 285
    bool local_heap_cross_ref;
287 286
    ///Pointer to the heap.
288 287
    Heap *_heap;
289 288
    ///Indicates if \ref _heap is locally allocated (\c true) or not.
290 289
    bool local_heap;
291 290

	
292 291
    ///Creates the maps if necessary.
293 292
    
294 293
    ///\todo Better memory allocation (instead of new).
295 294
    void create_maps() 
296 295
    {
297 296
      if(!_pred) {
298 297
	local_pred = true;
299 298
	_pred = Traits::createPredMap(*G);
300 299
      }
301 300
      if(!_dist) {
302 301
	local_dist = true;
303 302
	_dist = Traits::createDistMap(*G);
304 303
      }
305 304
      if(!_processed) {
306 305
	local_processed = true;
307 306
	_processed = Traits::createProcessedMap(*G);
308 307
      }
309 308
      if (!_heap_cross_ref) {
310 309
	local_heap_cross_ref = true;
311 310
	_heap_cross_ref = Traits::createHeapCrossRef(*G);
312 311
      }
313 312
      if (!_heap) {
314 313
	local_heap = true;
315 314
	_heap = Traits::createHeap(*_heap_cross_ref);
316 315
      }
317 316
    }
318 317
    
319 318
  public :
320 319

	
321 320
    typedef Dijkstra Create;
322 321
 
323 322
    ///\name Named template parameters
324 323

	
325 324
    ///@{
326 325

	
327 326
    template <class T>
328 327
    struct DefPredMapTraits : public Traits {
329 328
      typedef T PredMap;
330 329
      static PredMap *createPredMap(const Digraph &)
331 330
      {
332 331
	throw UninitializedParameter();
333 332
      }
334 333
    };
335 334
    ///\ref named-templ-param "Named parameter" for setting PredMap type
336 335

	
337 336
    ///\ref named-templ-param "Named parameter" for setting PredMap type
338 337
    ///
339 338
    template <class T>
340 339
    struct DefPredMap 
341 340
      : public Dijkstra< Digraph,	LengthMap, DefPredMapTraits<T> > {
342 341
      typedef Dijkstra< Digraph,	LengthMap, DefPredMapTraits<T> > Create;
343 342
    };
344 343
    
345 344
    template <class T>
346 345
    struct DefDistMapTraits : public Traits {
347 346
      typedef T DistMap;
348 347
      static DistMap *createDistMap(const Digraph &)
349 348
      {
350 349
	throw UninitializedParameter();
351 350
      }
352 351
    };
353 352
    ///\ref named-templ-param "Named parameter" for setting DistMap type
354 353

	
355 354
    ///\ref named-templ-param "Named parameter" for setting DistMap type
356 355
    ///
357 356
    template <class T>
358 357
    struct DefDistMap 
359 358
      : public Dijkstra< Digraph, LengthMap, DefDistMapTraits<T> > { 
360 359
      typedef Dijkstra< Digraph, LengthMap, DefDistMapTraits<T> > Create;
361 360
    };
362 361
    
363 362
    template <class T>
364 363
    struct DefProcessedMapTraits : public Traits {
365 364
      typedef T ProcessedMap;
366 365
      static ProcessedMap *createProcessedMap(const Digraph &G) 
367 366
      {
368 367
	throw UninitializedParameter();
369 368
      }
370 369
    };
371 370
    ///\ref named-templ-param "Named parameter" for setting ProcessedMap type
372 371

	
373 372
    ///\ref named-templ-param "Named parameter" for setting ProcessedMap type
374 373
    ///
375 374
    template <class T>
376 375
    struct DefProcessedMap 
377 376
      : public Dijkstra< Digraph,	LengthMap, DefProcessedMapTraits<T> > { 
378 377
      typedef Dijkstra< Digraph,	LengthMap, DefProcessedMapTraits<T> > Create;
379 378
    };
380 379
    
381 380
    struct DefDigraphProcessedMapTraits : public Traits {
382 381
      typedef typename Digraph::template NodeMap<bool> ProcessedMap;
383 382
      static ProcessedMap *createProcessedMap(const Digraph &G) 
384 383
      {
385 384
	return new ProcessedMap(G);
386 385
      }
387 386
    };
388 387
    ///\brief \ref named-templ-param "Named parameter"
389 388
    ///for setting the ProcessedMap type to be Digraph::NodeMap<bool>.
390 389
    ///
391 390
    ///\ref named-templ-param "Named parameter"
392 391
    ///for setting the ProcessedMap type to be Digraph::NodeMap<bool>.
393 392
    ///If you don't set it explicitely, it will be automatically allocated.
394 393
    template <class T>
395 394
    struct DefProcessedMapToBeDefaultMap 
396 395
      : public Dijkstra< Digraph, LengthMap, DefDigraphProcessedMapTraits> {
397 396
      typedef Dijkstra< Digraph, LengthMap, DefDigraphProcessedMapTraits> Create;
398 397
    };
399 398

	
400 399
    template <class H, class CR>
401 400
    struct DefHeapTraits : public Traits {
402 401
      typedef CR HeapCrossRef;
403 402
      typedef H Heap;
404 403
      static HeapCrossRef *createHeapCrossRef(const Digraph &) {
405 404
	throw UninitializedParameter();
... ...
@@ -686,386 +685,386 @@
686 685
    ///\pre init() must be called and at least one node should be added
687 686
    ///with addSource() before using this function.
688 687
    ///
689 688
    ///This method runs the %Dijkstra algorithm from the root node(s)
690 689
    ///in order to
691 690
    ///compute the
692 691
    ///shortest path to each node. The algorithm computes
693 692
    ///- The shortest path tree.
694 693
    ///- The distance of each node from the root(s).
695 694
    ///
696 695
    void start()
697 696
    {
698 697
      while ( !_heap->empty() ) processNextNode();
699 698
    }
700 699
    
701 700
    ///Executes the algorithm until \c dest is reached.
702 701

	
703 702
    ///Executes the algorithm until \c dest is reached.
704 703
    ///
705 704
    ///\pre init() must be called and at least one node should be added
706 705
    ///with addSource() before using this function.
707 706
    ///
708 707
    ///This method runs the %Dijkstra algorithm from the root node(s)
709 708
    ///in order to
710 709
    ///compute the
711 710
    ///shortest path to \c dest. The algorithm computes
712 711
    ///- The shortest path to \c  dest.
713 712
    ///- The distance of \c dest from the root(s).
714 713
    ///
715 714
    void start(Node dest)
716 715
    {
717 716
      while ( !_heap->empty() && _heap->top()!=dest ) processNextNode();
718 717
      if ( !_heap->empty() ) finalizeNodeData(_heap->top(),_heap->prio());
719 718
    }
720 719
    
721 720
    ///Executes the algorithm until a condition is met.
722 721

	
723 722
    ///Executes the algorithm until a condition is met.
724 723
    ///
725 724
    ///\pre init() must be called and at least one node should be added
726 725
    ///with addSource() before using this function.
727 726
    ///
728 727
    ///\param nm must be a bool (or convertible) node map. The algorithm
729 728
    ///will stop when it reaches a node \c v with <tt>nm[v]</tt> true.
730 729
    ///
731 730
    ///\return The reached node \c v with <tt>nm[v]</tt> true or
732 731
    ///\c INVALID if no such node was found.
733 732
    template<class NodeBoolMap>
734 733
    Node start(const NodeBoolMap &nm)
735 734
    {
736 735
      while ( !_heap->empty() && !nm[_heap->top()] ) processNextNode();
737 736
      if ( _heap->empty() ) return INVALID;
738 737
      finalizeNodeData(_heap->top(),_heap->prio());
739 738
      return _heap->top();
740 739
    }
741 740
    
742 741
    ///Runs %Dijkstra algorithm from node \c s.
743 742
    
744 743
    ///This method runs the %Dijkstra algorithm from a root node \c s
745 744
    ///in order to
746 745
    ///compute the
747 746
    ///shortest path to each node. The algorithm computes
748 747
    ///- The shortest path tree.
749 748
    ///- The distance of each node from the root.
750 749
    ///
751 750
    ///\note d.run(s) is just a shortcut of the following code.
752 751
    ///\code
753 752
    ///  d.init();
754 753
    ///  d.addSource(s);
755 754
    ///  d.start();
756 755
    ///\endcode
757 756
    void run(Node s) {
758 757
      init();
759 758
      addSource(s);
760 759
      start();
761 760
    }
762 761
    
763 762
    ///Finds the shortest path between \c s and \c t.
764 763
    
765 764
    ///Finds the shortest path between \c s and \c t.
766 765
    ///
767 766
    ///\return The length of the shortest s---t path if there exists one,
768 767
    ///0 otherwise.
769 768
    ///\note Apart from the return value, d.run(s) is
770 769
    ///just a shortcut of the following code.
771 770
    ///\code
772 771
    ///  d.init();
773 772
    ///  d.addSource(s);
774 773
    ///  d.start(t);
775 774
    ///\endcode
776 775
    Value run(Node s,Node t) {
777 776
      init();
778 777
      addSource(s);
779 778
      start(t);
780 779
      return (*_pred)[t]==INVALID?OperationTraits::zero():(*_dist)[t];
781 780
    }
782 781
    
783 782
    ///@}
784 783

	
785 784
    ///\name Query Functions
786 785
    ///The result of the %Dijkstra algorithm can be obtained using these
787 786
    ///functions.\n
788 787
    ///Before the use of these functions,
789 788
    ///either run() or start() must be called.
790 789
    
791 790
    ///@{
792 791

	
793 792
    ///Gives back the shortest path.
794 793
    
795 794
    ///Gives back the shortest path.
796 795
    ///\pre The \c t should be reachable from the source.
797 796
    Path path(Node t) 
798 797
    {
799 798
      return Path(*G, *_pred, t);
800 799
    }
801 800

	
802 801
    ///The distance of a node from the root.
803 802

	
804 803
    ///Returns the distance of a node from the root.
805 804
    ///\pre \ref run() must be called before using this function.
806 805
    ///\warning If node \c v in unreachable from the root the return value
807 806
    ///of this funcion is undefined.
808 807
    Value dist(Node v) const { return (*_dist)[v]; }
809 808

	
810 809
    ///The current distance of a node from the root.
811 810

	
812 811
    ///Returns the current distance of a node from the root.
813 812
    ///It may be decreased in the following processes.
814 813
    ///\pre \c node should be reached but not processed
815 814
    Value currentDist(Node v) const { return (*_heap)[v]; }
816 815

	
817 816
    ///Returns the 'previous arc' of the shortest path tree.
818 817

	
819 818
    ///For a node \c v it returns the 'previous arc' of the shortest path tree,
820 819
    ///i.e. it returns the last arc of a shortest path from the root to \c
821 820
    ///v. It is \ref INVALID
822 821
    ///if \c v is unreachable from the root or if \c v=s. The
823 822
    ///shortest path tree used here is equal to the shortest path tree used in
824 823
    ///\ref predNode().  \pre \ref run() must be called before using
825 824
    ///this function.
826 825
    Arc predArc(Node v) const { return (*_pred)[v]; }
827 826

	
828 827
    ///Returns the 'previous node' of the shortest path tree.
829 828

	
830 829
    ///For a node \c v it returns the 'previous node' of the shortest path tree,
831 830
    ///i.e. it returns the last but one node from a shortest path from the
832 831
    ///root to \c /v. It is INVALID if \c v is unreachable from the root or if
833 832
    ///\c v=s. The shortest path tree used here is equal to the shortest path
834 833
    ///tree used in \ref predArc().  \pre \ref run() must be called before
835 834
    ///using this function.
836 835
    Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID:
837 836
				  G->source((*_pred)[v]); }
838 837
    
839 838
    ///Returns a reference to the NodeMap of distances.
840 839

	
841 840
    ///Returns a reference to the NodeMap of distances. \pre \ref run() must
842 841
    ///be called before using this function.
843 842
    const DistMap &distMap() const { return *_dist;}
844 843
 
845 844
    ///Returns a reference to the shortest path tree map.
846 845

	
847 846
    ///Returns a reference to the NodeMap of the arcs of the
848 847
    ///shortest path tree.
849 848
    ///\pre \ref run() must be called before using this function.
850 849
    const PredMap &predMap() const { return *_pred;}
851 850
 
852 851
    ///Checks if a node is reachable from the root.
853 852

	
854 853
    ///Returns \c true if \c v is reachable from the root.
855 854
    ///\warning The source nodes are inditated as unreached.
856 855
    ///\pre \ref run() must be called before using this function.
857 856
    ///
858 857
    bool reached(Node v) { return (*_heap_cross_ref)[v] != Heap::PRE_HEAP; }
859 858

	
860 859
    ///Checks if a node is processed.
861 860

	
862 861
    ///Returns \c true if \c v is processed, i.e. the shortest
863 862
    ///path to \c v has already found.
864 863
    ///\pre \ref run() must be called before using this function.
865 864
    ///
866 865
    bool processed(Node v) { return (*_heap_cross_ref)[v] == Heap::POST_HEAP; }
867 866
    
868 867
    ///@}
869 868
  };
870 869

	
871 870

	
872 871

	
873 872

	
874 873
 
875 874
  ///Default traits class of Dijkstra function.
876 875

	
877 876
  ///Default traits class of Dijkstra function.
878
  ///\param GR Digraph type.
879
  ///\param LM Type of length map.
877
  ///\tparam GR Digraph type.
878
  ///\tparam LM Type of length map.
880 879
  template<class GR, class LM>
881 880
  struct DijkstraWizardDefaultTraits
882 881
  {
883 882
    ///The digraph type the algorithm runs on. 
884 883
    typedef GR Digraph;
885 884
    ///The type of the map that stores the arc lengths.
886 885

	
887 886
    ///The type of the map that stores the arc lengths.
888 887
    ///It must meet the \ref concepts::ReadMap "ReadMap" concept.
889 888
    typedef LM LengthMap;
890 889
    //The type of the length of the arcs.
891 890
    typedef typename LM::Value Value;
892 891
    /// Operation traits for Dijkstra algorithm.
893 892

	
894 893
    /// It defines the used operation by the algorithm.
895 894
    /// \see DijkstraDefaultOperationTraits
896 895
    typedef DijkstraDefaultOperationTraits<Value> OperationTraits;
897 896
    ///The heap type used by Dijkstra algorithm.
898 897

	
899 898
    /// The cross reference type used by heap.
900 899

	
901 900
    /// The cross reference type used by heap.
902 901
    /// Usually it is \c Digraph::NodeMap<int>.
903 902
    typedef typename Digraph::template NodeMap<int> HeapCrossRef;
904 903
    ///Instantiates a HeapCrossRef.
905 904

	
906 905
    ///This function instantiates a \ref HeapCrossRef. 
907 906
    /// \param G is the digraph, to which we would like to define the 
908 907
    /// HeapCrossRef.
909 908
    /// \todo The digraph alone may be insufficient for the initialization
910 909
    static HeapCrossRef *createHeapCrossRef(const GR &G) 
911 910
    {
912 911
      return new HeapCrossRef(G);
913 912
    }
914 913
    
915 914
    ///The heap type used by Dijkstra algorithm.
916 915

	
917 916
    ///The heap type used by Dijkstra algorithm.
918 917
    ///
919 918
    ///\sa BinHeap
920 919
    ///\sa Dijkstra
921 920
    typedef BinHeap<typename LM::Value, typename GR::template NodeMap<int>,
922 921
		    std::less<Value> > Heap;
923 922

	
924 923
    static Heap *createHeap(HeapCrossRef& R) 
925 924
    {
926 925
      return new Heap(R);
927 926
    }
928 927

	
929 928
    ///\brief The type of the map that stores the last
930 929
    ///arcs of the shortest paths.
931 930
    /// 
932 931
    ///The type of the map that stores the last
933 932
    ///arcs of the shortest paths.
934 933
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
935 934
    ///
936 935
    typedef NullMap <typename GR::Node,typename GR::Arc> PredMap;
937 936
    ///Instantiates a PredMap.
938 937
 
939 938
    ///This function instantiates a \ref PredMap. 
940 939
    ///\param g is the digraph, to which we would like to define the PredMap.
941 940
    ///\todo The digraph alone may be insufficient for the initialization
942 941
#ifdef DOXYGEN
943 942
    static PredMap *createPredMap(const GR &g) 
944 943
#else
945 944
    static PredMap *createPredMap(const GR &) 
946 945
#endif
947 946
    {
948 947
      return new PredMap();
949 948
    }
950 949
    ///The type of the map that stores whether a nodes is processed.
951 950
 
952 951
    ///The type of the map that stores whether a nodes is processed.
953 952
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
954 953
    ///By default it is a NullMap.
955 954
    ///\todo If it is set to a real map,
956 955
    ///Dijkstra::processed() should read this.
957 956
    ///\todo named parameter to set this type, function to read and write.
958 957
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
959 958
    ///Instantiates a ProcessedMap.
960 959
 
961 960
    ///This function instantiates a \ref ProcessedMap. 
962 961
    ///\param g is the digraph, to which
963 962
    ///we would like to define the \ref ProcessedMap
964 963
#ifdef DOXYGEN
965 964
    static ProcessedMap *createProcessedMap(const GR &g)
966 965
#else
967 966
    static ProcessedMap *createProcessedMap(const GR &)
968 967
#endif
969 968
    {
970 969
      return new ProcessedMap();
971 970
    }
972 971
    ///The type of the map that stores the dists of the nodes.
973 972
 
974 973
    ///The type of the map that stores the dists of the nodes.
975 974
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
976 975
    ///
977 976
    typedef NullMap<typename Digraph::Node,typename LM::Value> DistMap;
978 977
    ///Instantiates a DistMap.
979 978
 
980 979
    ///This function instantiates a \ref DistMap. 
981 980
    ///\param g is the digraph, to which we would like to define the \ref DistMap
982 981
#ifdef DOXYGEN
983 982
    static DistMap *createDistMap(const GR &g)
984 983
#else
985 984
    static DistMap *createDistMap(const GR &)
986 985
#endif
987 986
    {
988 987
      return new DistMap();
989 988
    }
990 989
  };
991 990
  
992 991
  /// Default traits used by \ref DijkstraWizard
993 992

	
994 993
  /// To make it easier to use Dijkstra algorithm
995 994
  ///we have created a wizard class.
996 995
  /// This \ref DijkstraWizard class needs default traits,
997 996
  ///as well as the \ref Dijkstra class.
998 997
  /// The \ref DijkstraWizardBase is a class to be the default traits of the
999 998
  /// \ref DijkstraWizard class.
1000 999
  /// \todo More named parameters are required...
1001 1000
  template<class GR,class LM>
1002 1001
  class DijkstraWizardBase : public DijkstraWizardDefaultTraits<GR,LM>
1003 1002
  {
1004 1003

	
1005 1004
    typedef DijkstraWizardDefaultTraits<GR,LM> Base;
1006 1005
  protected:
1007 1006
    /// Type of the nodes in the digraph.
1008 1007
    typedef typename Base::Digraph::Node Node;
1009 1008

	
1010 1009
    /// Pointer to the underlying digraph.
1011 1010
    void *_g;
1012 1011
    /// Pointer to the length map
1013 1012
    void *_length;
1014 1013
    ///Pointer to the map of predecessors arcs.
1015 1014
    void *_pred;
1016 1015
    ///Pointer to the map of distances.
1017 1016
    void *_dist;
1018 1017
    ///Pointer to the source node.
1019 1018
    Node _source;
1020 1019

	
1021 1020
    public:
1022 1021
    /// Constructor.
1023 1022
    
1024 1023
    /// This constructor does not require parameters, therefore it initiates
1025 1024
    /// all of the attributes to default values (0, INVALID).
1026 1025
    DijkstraWizardBase() : _g(0), _length(0), _pred(0),
1027 1026
			   _dist(0), _source(INVALID) {}
1028 1027

	
1029 1028
    /// Constructor.
1030 1029
    
1031 1030
    /// This constructor requires some parameters,
1032 1031
    /// listed in the parameters list.
1033 1032
    /// Others are initiated to 0.
1034 1033
    /// \param g is the initial value of  \ref _g
1035 1034
    /// \param l is the initial value of  \ref _length
1036 1035
    /// \param s is the initial value of  \ref _source
1037 1036
    DijkstraWizardBase(const GR &g,const LM &l, Node s=INVALID) :
1038 1037
      _g(reinterpret_cast<void*>(const_cast<GR*>(&g))), 
1039 1038
      _length(reinterpret_cast<void*>(const_cast<LM*>(&l))), 
1040 1039
      _pred(0), _dist(0), _source(s) {}
1041 1040

	
1042 1041
  };
1043 1042
  
1044 1043
  /// A class to make the usage of Dijkstra algorithm easier
1045 1044

	
1046 1045
  /// This class is created to make it easier to use Dijkstra algorithm.
1047 1046
  /// It uses the functions and features of the plain \ref Dijkstra,
1048 1047
  /// but it is much simpler to use it.
1049 1048
  ///
1050 1049
  /// Simplicity means that the way to change the types defined
1051 1050
  /// in the traits class is based on functions that returns the new class
1052 1051
  /// and not on templatable built-in classes.
1053 1052
  /// When using the plain \ref Dijkstra
1054 1053
  /// the new class with the modified type comes from
1055 1054
  /// the original class by using the ::
1056 1055
  /// operator. In the case of \ref DijkstraWizard only
1057 1056
  /// a function have to be called and it will
1058 1057
  /// return the needed class.
1059 1058
  ///
1060 1059
  /// It does not have own \ref run method. When its \ref run method is called
1061 1060
  /// it initiates a plain \ref Dijkstra class, and calls the \ref 
1062 1061
  /// Dijkstra::run method of it.
1063 1062
  template<class TR>
1064 1063
  class DijkstraWizard : public TR
1065 1064
  {
1066 1065
    typedef TR Base;
1067 1066

	
1068 1067
    ///The type of the underlying digraph.
1069 1068
    typedef typename TR::Digraph Digraph;
1070 1069
    //\e
1071 1070
    typedef typename Digraph::Node Node;
Ignore white space 6 line context
... ...
@@ -227,433 +227,433 @@
227 227
  using T::DIST_BW;
228 228
  using T::_nodeTextColorType;
229 229
  using T::_nodeTextColors;
230 230

	
231 231
  using T::_autoNodeScale;
232 232
  using T::_autoArcWidthScale;
233 233

	
234 234
  using T::_absoluteNodeSizes;
235 235
  using T::_absoluteArcWidths;
236 236

	
237 237

	
238 238
  using T::_negY;
239 239
  using T::_preScale;
240 240

	
241 241
  // dradnats ++C eht yb deriuqer si ti eveileb t'naC
242 242

	
243 243
  typedef typename T::Graph Graph;
244 244
  typedef typename Graph::Node Node;
245 245
  typedef typename Graph::NodeIt NodeIt;
246 246
  typedef typename Graph::Arc Arc;
247 247
  typedef typename Graph::ArcIt ArcIt;
248 248
  typedef typename Graph::InArcIt InArcIt;
249 249
  typedef typename Graph::OutArcIt OutArcIt;
250 250

	
251 251
  static const int INTERPOL_PREC;
252 252
  static const double A4HEIGHT;
253 253
  static const double A4WIDTH;
254 254
  static const double A4BORDER;
255 255

	
256 256
  bool dontPrint;
257 257

	
258 258
public:
259 259
  ///Node shapes
260 260

	
261 261
  ///Node shapes
262 262
  ///
263 263
  enum NodeShapes { 
264 264
    /// = 0
265 265
    ///\image html nodeshape_0.png
266 266
    ///\image latex nodeshape_0.eps "CIRCLE shape (0)" width=2cm
267 267
    CIRCLE=0, 
268 268
    /// = 1
269 269
    ///\image html nodeshape_1.png
270 270
    ///\image latex nodeshape_1.eps "SQUARE shape (1)" width=2cm
271 271
    ///
272 272
    SQUARE=1, 
273 273
    /// = 2
274 274
    ///\image html nodeshape_2.png
275 275
    ///\image latex nodeshape_2.eps "DIAMOND shape (2)" width=2cm
276 276
    ///
277 277
    DIAMOND=2,
278 278
    /// = 3
279 279
    ///\image html nodeshape_3.png
280 280
    ///\image latex nodeshape_2.eps "MALE shape (4)" width=2cm
281 281
    ///
282 282
    MALE=3,
283 283
    /// = 4
284 284
    ///\image html nodeshape_4.png
285 285
    ///\image latex nodeshape_2.eps "FEMALE shape (4)" width=2cm
286 286
    ///
287 287
    FEMALE=4
288 288
  };
289 289

	
290 290
private:
291 291
  class arcLess {
292 292
    const Graph &g;
293 293
  public:
294 294
    arcLess(const Graph &_g) : g(_g) {}
295 295
    bool operator()(Arc a,Arc b) const 
296 296
    {
297 297
      Node ai=std::min(g.source(a),g.target(a));
298 298
      Node aa=std::max(g.source(a),g.target(a));
299 299
      Node bi=std::min(g.source(b),g.target(b));
300 300
      Node ba=std::max(g.source(b),g.target(b));
301 301
      return ai<bi ||
302 302
	(ai==bi && (aa < ba || 
303 303
		    (aa==ba && ai==g.source(a) && bi==g.target(b))));
304 304
    }
305 305
  };
306 306
  bool isParallel(Arc e,Arc f) const
307 307
  {
308 308
    return (g.source(e)==g.source(f)&&
309 309
	    g.target(e)==g.target(f)) ||
310 310
      (g.source(e)==g.target(f)&&
311 311
       g.target(e)==g.source(f));
312 312
  }
313 313
  template<class TT>
314 314
  static std::string psOut(const dim2::Point<TT> &p) 
315 315
    {
316 316
      std::ostringstream os;	
317 317
      os << p.x << ' ' << p.y;
318 318
      return os.str();
319 319
    }
320 320
  static std::string psOut(const Color &c) 
321 321
    {
322 322
      std::ostringstream os;	
323 323
      os << c.red() << ' ' << c.green() << ' ' << c.blue();
324 324
      return os.str();
325 325
    }
326 326
  
327 327
public:
328 328
  GraphToEps(const T &t) : T(t), dontPrint(false) {};
329 329
  
330 330
  template<class X> struct CoordsTraits : public T {
331 331
  typedef X CoordsMapType;
332 332
    const X &_coords;
333 333
    CoordsTraits(const T &t,const X &x) : T(t), _coords(x) {}
334 334
  };
335 335
  ///Sets the map of the node coordinates
336 336

	
337 337
  ///Sets the map of the node coordinates.
338 338
  ///\param x must be a node map with dim2::Point<double> or
339 339
  ///\ref dim2::Point "dim2::Point<int>" values. 
340 340
  template<class X> GraphToEps<CoordsTraits<X> > coords(const X &x) {
341 341
    dontPrint=true;
342 342
    return GraphToEps<CoordsTraits<X> >(CoordsTraits<X>(*this,x));
343 343
  }
344 344
  template<class X> struct NodeSizesTraits : public T {
345 345
    const X &_nodeSizes;
346 346
    NodeSizesTraits(const T &t,const X &x) : T(t), _nodeSizes(x) {}
347 347
  };
348 348
  ///Sets the map of the node sizes
349 349

	
350 350
  ///Sets the map of the node sizes
351 351
  ///\param x must be a node map with \c double (or convertible) values. 
352 352
  template<class X> GraphToEps<NodeSizesTraits<X> > nodeSizes(const X &x)
353 353
  {
354 354
    dontPrint=true;
355 355
    return GraphToEps<NodeSizesTraits<X> >(NodeSizesTraits<X>(*this,x));
356 356
  }
357 357
  template<class X> struct NodeShapesTraits : public T {
358 358
    const X &_nodeShapes;
359 359
    NodeShapesTraits(const T &t,const X &x) : T(t), _nodeShapes(x) {}
360 360
  };
361 361
  ///Sets the map of the node shapes
362 362

	
363 363
  ///Sets the map of the node shapes.
364 364
  ///The available shape values
365 365
  ///can be found in \ref NodeShapes "enum NodeShapes".
366 366
  ///\param x must be a node map with \c int (or convertible) values. 
367 367
  ///\sa NodeShapes
368 368
  template<class X> GraphToEps<NodeShapesTraits<X> > nodeShapes(const X &x)
369 369
  {
370 370
    dontPrint=true;
371 371
    return GraphToEps<NodeShapesTraits<X> >(NodeShapesTraits<X>(*this,x));
372 372
  }
373 373
  template<class X> struct NodeTextsTraits : public T {
374 374
    const X &_nodeTexts;
375 375
    NodeTextsTraits(const T &t,const X &x) : T(t), _nodeTexts(x) {}
376 376
  };
377 377
  ///Sets the text printed on the nodes
378 378

	
379 379
  ///Sets the text printed on the nodes
380 380
  ///\param x must be a node map with type that can be pushed to a standard
381 381
  ///ostream. 
382 382
  template<class X> GraphToEps<NodeTextsTraits<X> > nodeTexts(const X &x)
383 383
  {
384 384
    dontPrint=true;
385 385
    _showNodeText=true;
386 386
    return GraphToEps<NodeTextsTraits<X> >(NodeTextsTraits<X>(*this,x));
387 387
  }
388 388
  template<class X> struct NodePsTextsTraits : public T {
389 389
    const X &_nodePsTexts;
390 390
    NodePsTextsTraits(const T &t,const X &x) : T(t), _nodePsTexts(x) {}
391 391
  };
392 392
  ///Inserts a PostScript block to the nodes
393 393

	
394 394
  ///With this command it is possible to insert a verbatim PostScript
395 395
  ///block to the nodes.
396 396
  ///The PS current point will be moved to the centre of the node before
397 397
  ///the PostScript block inserted.
398 398
  ///
399 399
  ///Before and after the block a newline character is inserted so you
400 400
  ///don't have to bother with the separators.
401 401
  ///
402 402
  ///\param x must be a node map with type that can be pushed to a standard
403 403
  ///ostream.
404 404
  ///
405 405
  ///\sa nodePsTextsPreamble()
406 406
  template<class X> GraphToEps<NodePsTextsTraits<X> > nodePsTexts(const X &x)
407 407
  {
408 408
    dontPrint=true;
409 409
    _showNodePsText=true;
410 410
    return GraphToEps<NodePsTextsTraits<X> >(NodePsTextsTraits<X>(*this,x));
411 411
  }
412 412
  template<class X> struct ArcWidthsTraits : public T {
413 413
    const X &_arcWidths;
414 414
    ArcWidthsTraits(const T &t,const X &x) : T(t), _arcWidths(x) {}
415 415
  };
416 416
  ///Sets the map of the arc widths
417 417

	
418 418
  ///Sets the map of the arc widths
419
  ///\param x must be a arc map with \c double (or convertible) values. 
419
  ///\param x must be an arc map with \c double (or convertible) values. 
420 420
  template<class X> GraphToEps<ArcWidthsTraits<X> > arcWidths(const X &x)
421 421
  {
422 422
    dontPrint=true;
423 423
    return GraphToEps<ArcWidthsTraits<X> >(ArcWidthsTraits<X>(*this,x));
424 424
  }
425 425

	
426 426
  template<class X> struct NodeColorsTraits : public T {
427 427
    const X &_nodeColors;
428 428
    NodeColorsTraits(const T &t,const X &x) : T(t), _nodeColors(x) {}
429 429
  };
430 430
  ///Sets the map of the node colors
431 431

	
432 432
  ///Sets the map of the node colors
433 433
  ///\param x must be a node map with \ref Color values.
434 434
  ///
435 435
  ///\sa Palette
436 436
  template<class X> GraphToEps<NodeColorsTraits<X> >
437 437
  nodeColors(const X &x)
438 438
  {
439 439
    dontPrint=true;
440 440
    return GraphToEps<NodeColorsTraits<X> >(NodeColorsTraits<X>(*this,x));
441 441
  }
442 442
  template<class X> struct NodeTextColorsTraits : public T {
443 443
    const X &_nodeTextColors;
444 444
    NodeTextColorsTraits(const T &t,const X &x) : T(t), _nodeTextColors(x) {}
445 445
  };
446 446
  ///Sets the map of the node text colors
447 447

	
448 448
  ///Sets the map of the node text colors
449 449
  ///\param x must be a node map with \ref Color values. 
450 450
  ///
451 451
  ///\sa Palette
452 452
  template<class X> GraphToEps<NodeTextColorsTraits<X> >
453 453
  nodeTextColors(const X &x)
454 454
  {
455 455
    dontPrint=true;
456 456
    _nodeTextColorType=CUST_COL;
457 457
    return GraphToEps<NodeTextColorsTraits<X> >
458 458
      (NodeTextColorsTraits<X>(*this,x));
459 459
  }
460 460
  template<class X> struct ArcColorsTraits : public T {
461 461
    const X &_arcColors;
462 462
    ArcColorsTraits(const T &t,const X &x) : T(t), _arcColors(x) {}
463 463
  };
464 464
  ///Sets the map of the arc colors
465 465

	
466 466
  ///Sets the map of the arc colors
467
  ///\param x must be a arc map with \ref Color values. 
467
  ///\param x must be an arc map with \ref Color values. 
468 468
  ///
469 469
  ///\sa Palette
470 470
  template<class X> GraphToEps<ArcColorsTraits<X> >
471 471
  arcColors(const X &x)
472 472
  {
473 473
    dontPrint=true;
474 474
    return GraphToEps<ArcColorsTraits<X> >(ArcColorsTraits<X>(*this,x));
475 475
  }
476 476
  ///Sets a global scale factor for node sizes
477 477

	
478 478
  ///Sets a global scale factor for node sizes.
479 479
  /// 
480 480
  /// If nodeSizes() is not given, this function simply sets the node
481 481
  /// sizes to \c d.  If nodeSizes() is given, but
482 482
  /// autoNodeScale() is not, then the node size given by
483 483
  /// nodeSizes() will be multiplied by the value \c d.
484 484
  /// If both nodeSizes() and autoNodeScale() are used, then the
485 485
  /// node sizes will be scaled in such a way that the greatest size will be
486 486
  /// equal to \c d.
487 487
  /// \sa nodeSizes()
488 488
  /// \sa autoNodeScale()
489 489
  GraphToEps<T> &nodeScale(double d=.01) {_nodeScale=d;return *this;}
490 490
  ///Turns on/off the automatic node width scaling.
491 491

	
492 492
  ///Turns on/off the automatic node width scaling.
493 493
  ///
494 494
  ///\sa nodeScale()
495 495
  ///
496 496
  GraphToEps<T> &autoNodeScale(bool b=true) {
497 497
    _autoNodeScale=b;return *this;
498 498
  }
499 499

	
500 500
  ///Turns on/off the absolutematic node width scaling.
501 501

	
502 502
  ///Turns on/off the absolutematic node width scaling.
503 503
  ///
504 504
  ///\sa nodeScale()
505 505
  ///
506 506
  GraphToEps<T> &absoluteNodeSizes(bool b=true) {
507 507
    _absoluteNodeSizes=b;return *this;
508 508
  }
509 509

	
510 510
  ///Negates the Y coordinates.
511 511

	
512 512
  ///Negates the Y coordinates.
513 513
  ///
514 514
  GraphToEps<T> &negateY(bool b=true) {
515 515
    _negY=b;return *this;
516 516
  }
517 517

	
518 518
  ///Turn on/off pre-scaling
519 519

	
520 520
  ///By default graphToEps() rescales the whole image in order to avoid
521 521
  ///very big or very small bounding boxes.
522 522
  ///
523 523
  ///This (p)rescaling can be turned off with this function.
524 524
  ///
525 525
  GraphToEps<T> &preScale(bool b=true) {
526 526
    _preScale=b;return *this;
527 527
  }
528 528

	
529 529
  ///Sets a global scale factor for arc widths
530 530

	
531 531
  /// Sets a global scale factor for arc widths.
532 532
  ///
533 533
  /// If arcWidths() is not given, this function simply sets the arc
534 534
  /// widths to \c d.  If arcWidths() is given, but
535 535
  /// autoArcWidthScale() is not, then the arc withs given by
536 536
  /// arcWidths() will be multiplied by the value \c d.
537 537
  /// If both arcWidths() and autoArcWidthScale() are used, then the
538 538
  /// arc withs will be scaled in such a way that the greatest width will be
539 539
  /// equal to \c d.
540 540
  GraphToEps<T> &arcWidthScale(double d=.003) {_arcWidthScale=d;return *this;}
541 541
  ///Turns on/off the automatic arc width scaling.
542 542

	
543 543
  ///Turns on/off the automatic arc width scaling.
544 544
  ///
545 545
  ///\sa arcWidthScale()
546 546
  ///
547 547
  GraphToEps<T> &autoArcWidthScale(bool b=true) {
548 548
    _autoArcWidthScale=b;return *this;
549 549
  }
550 550
  ///Turns on/off the absolutematic arc width scaling.
551 551

	
552 552
  ///Turns on/off the absolutematic arc width scaling.
553 553
  ///
554 554
  ///\sa arcWidthScale()
555 555
  ///
556 556
  GraphToEps<T> &absoluteArcWidths(bool b=true) {
557 557
    _absoluteArcWidths=b;return *this;
558 558
  }
559 559
  ///Sets a global scale factor for the whole picture
560 560

	
561 561
  ///Sets a global scale factor for the whole picture
562 562
  ///
563 563

	
564 564
  GraphToEps<T> &scale(double d) {_scale=d;return *this;}
565 565
  ///Sets the width of the border around the picture
566 566

	
567 567
  ///Sets the width of the border around the picture
568 568
  ///
569 569
  GraphToEps<T> &border(double b=10) {_xBorder=_yBorder=b;return *this;}
570 570
  ///Sets the width of the border around the picture
571 571

	
572 572
  ///Sets the width of the border around the picture
573 573
  ///
574 574
  GraphToEps<T> &border(double x, double y) {
575 575
    _xBorder=x;_yBorder=y;return *this;
576 576
  }
577 577
  ///Sets whether to draw arrows
578 578

	
579 579
  ///Sets whether to draw arrows
580 580
  ///
581 581
  GraphToEps<T> &drawArrows(bool b=true) {_drawArrows=b;return *this;}
582 582
  ///Sets the length of the arrowheads
583 583

	
584 584
  ///Sets the length of the arrowheads
585 585
  ///
586 586
  GraphToEps<T> &arrowLength(double d=1.0) {_arrowLength*=d;return *this;}
587 587
  ///Sets the width of the arrowheads
588 588

	
589 589
  ///Sets the width of the arrowheads
590 590
  ///
591 591
  GraphToEps<T> &arrowWidth(double d=.3) {_arrowWidth*=d;return *this;}
592 592
  
593 593
  ///Scales the drawing to fit to A4 page
594 594

	
595 595
  ///Scales the drawing to fit to A4 page
596 596
  ///
597 597
  GraphToEps<T> &scaleToA4() {_scaleToA4=true;return *this;}
598 598
  
599 599
  ///Enables parallel arcs
600 600

	
601 601
  ///Enables parallel arcs
602 602
  GraphToEps<T> &enableParallel(bool b=true) {_enableParallel=b;return *this;}
603 603
  
604 604
  ///Sets the distance 
605 605
  
606 606
  ///Sets the distance 
607 607
  ///
608 608
  GraphToEps<T> &parArcDist(double d) {_parArcDist*=d;return *this;}
609 609
  
610 610
  ///Hides the arcs
611 611
  
612 612
  ///Hides the arcs
613 613
  ///
614 614
  GraphToEps<T> &hideArcs(bool b=true) {_showArcs=!b;return *this;}
615 615
  ///Hides the nodes
616 616
  
617 617
  ///Hides the nodes
618 618
  ///
619 619
  GraphToEps<T> &hideNodes(bool b=true) {_showNodes=!b;return *this;}
620 620
  
621 621
  ///Sets the size of the node texts
622 622
  
623 623
  ///Sets the size of the node texts
624 624
  ///
625 625
  GraphToEps<T> &nodeTextSize(double d) {_nodeTextSize=d;return *this;}
626 626

	
627 627
  ///Sets the color of the node texts to be different from the node color
628 628

	
629 629
  ///Sets the color of the node texts to be as different from the node color
630 630
  ///as it is possible
631 631
  ///
632 632
  GraphToEps<T> &distantColorNodeTexts()
633 633
  {_nodeTextColorType=DIST_COL;return *this;}
634 634
  ///Sets the color of the node texts to be black or white and always visible.
635 635

	
636 636
  ///Sets the color of the node texts to be black or white according to
637 637
  ///which is more 
638 638
  ///different from the node color
639 639
  ///
640 640
  GraphToEps<T> &distantBWNodeTexts()
641 641
  {_nodeTextColorType=DIST_BW;return *this;}
642 642

	
643 643
  ///Gives a preamble block for node Postscript block.
644 644
  
645 645
  ///Gives a preamble block for node Postscript block.
646 646
  ///
647 647
  ///\sa nodePsTexts()
648 648
  GraphToEps<T> & nodePsTextsPreamble(const char *str) {
649 649
    _nodePsTextsPreamble=str ;return *this;
650 650
  }
651 651
  ///Sets whether the the graph is undirected
652 652

	
653 653
  ///Sets whether the the graph is undirected.
654 654
  ///
655 655
  ///This setting is the default for undirected graphs.
656 656
  ///
657 657
  ///\sa directed()
658 658
   GraphToEps<T> &undirected(bool b=true) {_undirected=b;return *this;}
659 659

	
Ignore white space 6 line context
... ...
@@ -165,510 +165,506 @@
165 165
  ///
166 166
  /// If the graph contains a \e nodeNum() member function and a 
167 167
  /// \e NodeNumTag tag then this function calls directly the member
168 168
  /// function to query the cardinality of the node set.
169 169
  template <typename Graph>
170 170
  inline int countNodes(const Graph& g) {
171 171
    return _graph_utils_bits::CountNodesSelector<Graph>::count(g);
172 172
  }
173 173

	
174 174
  // Arc counting:
175 175

	
176 176
  namespace _graph_utils_bits {
177 177
    
178 178
    template <typename Graph, typename Enable = void>
179 179
    struct CountArcsSelector {
180 180
      static int count(const Graph &g) {
181 181
        return countItems<Graph, typename Graph::Arc>(g);
182 182
      }
183 183
    };
184 184

	
185 185
    template <typename Graph>
186 186
    struct CountArcsSelector<
187 187
      Graph, 
188 188
      typename enable_if<typename Graph::ArcNumTag, void>::type> 
189 189
    {
190 190
      static int count(const Graph &g) {
191 191
        return g.arcNum();
192 192
      }
193 193
    };    
194 194
  }
195 195

	
196 196
  /// \brief Function to count the arcs in the graph.
197 197
  ///
198 198
  /// This function counts the arcs in the graph.
199 199
  /// The complexity of the function is O(e) but for some
200 200
  /// graph structures it is specialized to run in O(1).
201 201
  ///
202 202
  /// If the graph contains a \e arcNum() member function and a 
203 203
  /// \e EdgeNumTag tag then this function calls directly the member
204 204
  /// function to query the cardinality of the arc set.
205 205
  template <typename Graph>
206 206
  inline int countArcs(const Graph& g) {
207 207
    return _graph_utils_bits::CountArcsSelector<Graph>::count(g);
208 208
  }
209 209

	
210 210
  // Edge counting:
211 211
  namespace _graph_utils_bits {
212 212
    
213 213
    template <typename Graph, typename Enable = void>
214 214
    struct CountEdgesSelector {
215 215
      static int count(const Graph &g) {
216 216
        return countItems<Graph, typename Graph::Edge>(g);
217 217
      }
218 218
    };
219 219

	
220 220
    template <typename Graph>
221 221
    struct CountEdgesSelector<
222 222
      Graph, 
223 223
      typename enable_if<typename Graph::EdgeNumTag, void>::type> 
224 224
    {
225 225
      static int count(const Graph &g) {
226 226
        return g.edgeNum();
227 227
      }
228 228
    };    
229 229
  }
230 230

	
231 231
  /// \brief Function to count the edges in the graph.
232 232
  ///
233 233
  /// This function counts the edges in the graph.
234 234
  /// The complexity of the function is O(m) but for some
235 235
  /// graph structures it is specialized to run in O(1).
236 236
  ///
237 237
  /// If the graph contains a \e edgeNum() member function and a 
238 238
  /// \e EdgeNumTag tag then this function calls directly the member
239 239
  /// function to query the cardinality of the edge set.
240 240
  template <typename Graph>
241 241
  inline int countEdges(const Graph& g) {
242 242
    return _graph_utils_bits::CountEdgesSelector<Graph>::count(g);
243 243

	
244 244
  }
245 245

	
246 246

	
247 247
  template <typename Graph, typename DegIt>
248 248
  inline int countNodeDegree(const Graph& _g, const typename Graph::Node& _n) {
249 249
    int num = 0;
250 250
    for (DegIt it(_g, _n); it != INVALID; ++it) {
251 251
      ++num;
252 252
    }
253 253
    return num;
254 254
  }
255 255

	
256 256
  /// \brief Function to count the number of the out-arcs from node \c n.
257 257
  ///
258 258
  /// This function counts the number of the out-arcs from node \c n
259 259
  /// in the graph.  
260 260
  template <typename Graph>
261 261
  inline int countOutArcs(const Graph& _g,  const typename Graph::Node& _n) {
262 262
    return countNodeDegree<Graph, typename Graph::OutArcIt>(_g, _n);
263 263
  }
264 264

	
265 265
  /// \brief Function to count the number of the in-arcs to node \c n.
266 266
  ///
267 267
  /// This function counts the number of the in-arcs to node \c n
268 268
  /// in the graph.  
269 269
  template <typename Graph>
270 270
  inline int countInArcs(const Graph& _g,  const typename Graph::Node& _n) {
271 271
    return countNodeDegree<Graph, typename Graph::InArcIt>(_g, _n);
272 272
  }
273 273

	
274 274
  /// \brief Function to count the number of the inc-edges to node \c n.
275 275
  ///
276 276
  /// This function counts the number of the inc-edges to node \c n
277 277
  /// in the graph.  
278 278
  template <typename Graph>
279 279
  inline int countIncEdges(const Graph& _g,  const typename Graph::Node& _n) {
280 280
    return countNodeDegree<Graph, typename Graph::IncEdgeIt>(_g, _n);
281 281
  }
282 282

	
283 283
  namespace _graph_utils_bits {
284 284
    
285 285
    template <typename Graph, typename Enable = void>
286 286
    struct FindArcSelector {
287 287
      typedef typename Graph::Node Node;
288 288
      typedef typename Graph::Arc Arc;
289 289
      static Arc find(const Graph &g, Node u, Node v, Arc e) {
290 290
        if (e == INVALID) {
291 291
          g.firstOut(e, u);
292 292
        } else {
293 293
          g.nextOut(e);
294 294
        }
295 295
        while (e != INVALID && g.target(e) != v) {
296 296
          g.nextOut(e);
297 297
        }
298 298
        return e;
299 299
      }
300 300
    };
301 301

	
302 302
    template <typename Graph>
303 303
    struct FindArcSelector<
304 304
      Graph, 
305 305
      typename enable_if<typename Graph::FindEdgeTag, void>::type> 
306 306
    {
307 307
      typedef typename Graph::Node Node;
308 308
      typedef typename Graph::Arc Arc;
309 309
      static Arc find(const Graph &g, Node u, Node v, Arc prev) {
310 310
        return g.findArc(u, v, prev);
311 311
      }
312 312
    };    
313 313
  }
314 314

	
315 315
  /// \brief Finds an arc between two nodes of a graph.
316 316
  ///
317 317
  /// Finds an arc from node \c u to node \c v in graph \c g.
318 318
  ///
319 319
  /// If \c prev is \ref INVALID (this is the default value), then
320 320
  /// it finds the first arc from \c u to \c v. Otherwise it looks for
321 321
  /// the next arc from \c u to \c v after \c prev.
322 322
  /// \return The found arc or \ref INVALID if there is no such an arc.
323 323
  ///
324 324
  /// Thus you can iterate through each arc from \c u to \c v as it follows.
325 325
  ///\code
326 326
  /// for(Arc e=findArc(g,u,v);e!=INVALID;e=findArc(g,u,v,e)) {
327 327
  ///   ...
328 328
  /// }
329 329
  ///\endcode
330 330
  ///
331 331
  ///\sa ArcLookUp
332 332
  ///\sa AllArcLookUp
333 333
  ///\sa DynArcLookUp
334 334
  ///\sa ConArcIt
335 335
  template <typename Graph>
336 336
  inline typename Graph::Arc 
337 337
  findArc(const Graph &g, typename Graph::Node u, typename Graph::Node v,
338 338
           typename Graph::Arc prev = INVALID) {
339 339
    return _graph_utils_bits::FindArcSelector<Graph>::find(g, u, v, prev);
340 340
  }
341 341

	
342 342
  /// \brief Iterator for iterating on arcs connected the same nodes.
343 343
  ///
344 344
  /// Iterator for iterating on arcs connected the same nodes. It is 
345 345
  /// higher level interface for the findArc() function. You can
346 346
  /// use it the following way:
347 347
  ///\code
348 348
  /// for (ConArcIt<Graph> it(g, src, trg); it != INVALID; ++it) {
349 349
  ///   ...
350 350
  /// }
351 351
  ///\endcode
352 352
  /// 
353 353
  ///\sa findArc()
354 354
  ///\sa ArcLookUp
355 355
  ///\sa AllArcLookUp
356 356
  ///\sa DynArcLookUp
357
  ///
358
  /// \author Balazs Dezso 
359 357
  template <typename _Graph>
360 358
  class ConArcIt : public _Graph::Arc {
361 359
  public:
362 360

	
363 361
    typedef _Graph Graph;
364 362
    typedef typename Graph::Arc Parent;
365 363

	
366 364
    typedef typename Graph::Arc Arc;
367 365
    typedef typename Graph::Node Node;
368 366

	
369 367
    /// \brief Constructor.
370 368
    ///
371 369
    /// Construct a new ConArcIt iterating on the arcs which
372 370
    /// connects the \c u and \c v node.
373 371
    ConArcIt(const Graph& g, Node u, Node v) : _graph(g) {
374 372
      Parent::operator=(findArc(_graph, u, v));
375 373
    }
376 374

	
377 375
    /// \brief Constructor.
378 376
    ///
379 377
    /// Construct a new ConArcIt which continues the iterating from 
380 378
    /// the \c e arc.
381 379
    ConArcIt(const Graph& g, Arc a) : Parent(a), _graph(g) {}
382 380
    
383 381
    /// \brief Increment operator.
384 382
    ///
385 383
    /// It increments the iterator and gives back the next arc.
386 384
    ConArcIt& operator++() {
387 385
      Parent::operator=(findArc(_graph, _graph.source(*this), 
388 386
				_graph.target(*this), *this));
389 387
      return *this;
390 388
    }
391 389
  private:
392 390
    const Graph& _graph;
393 391
  };
394 392

	
395 393
  namespace _graph_utils_bits {
396 394
    
397 395
    template <typename Graph, typename Enable = void>
398 396
    struct FindEdgeSelector {
399 397
      typedef typename Graph::Node Node;
400 398
      typedef typename Graph::Edge Edge;
401 399
      static Edge find(const Graph &g, Node u, Node v, Edge e) {
402 400
        bool b;
403 401
        if (u != v) {
404 402
          if (e == INVALID) {
405 403
            g.firstInc(e, b, u);
406 404
          } else {
407 405
            b = g.source(e) == u;
408 406
            g.nextInc(e, b);
409 407
          }
410 408
          while (e != INVALID && (b ? g.target(e) : g.source(e)) != v) {
411 409
            g.nextInc(e, b);
412 410
          }
413 411
        } else {
414 412
          if (e == INVALID) {
415 413
            g.firstInc(e, b, u);
416 414
          } else {
417 415
            b = true;
418 416
            g.nextInc(e, b);
419 417
          }
420 418
          while (e != INVALID && (!b || g.target(e) != v)) {
421 419
            g.nextInc(e, b);
422 420
          }
423 421
        }
424 422
        return e;
425 423
      }
426 424
    };
427 425

	
428 426
    template <typename Graph>
429 427
    struct FindEdgeSelector<
430 428
      Graph, 
431 429
      typename enable_if<typename Graph::FindEdgeTag, void>::type> 
432 430
    {
433 431
      typedef typename Graph::Node Node;
434 432
      typedef typename Graph::Edge Edge;
435 433
      static Edge find(const Graph &g, Node u, Node v, Edge prev) {
436 434
        return g.findEdge(u, v, prev);
437 435
      }
438 436
    };    
439 437
  }
440 438

	
441 439
  /// \brief Finds an edge between two nodes of a graph.
442 440
  ///
443 441
  /// Finds an edge from node \c u to node \c v in graph \c g.
444 442
  /// If the node \c u and node \c v is equal then each loop edge
445 443
  /// will be enumerated once.
446 444
  ///
447 445
  /// If \c prev is \ref INVALID (this is the default value), then
448 446
  /// it finds the first arc from \c u to \c v. Otherwise it looks for
449 447
  /// the next arc from \c u to \c v after \c prev.
450 448
  /// \return The found arc or \ref INVALID if there is no such an arc.
451 449
  ///
452 450
  /// Thus you can iterate through each arc from \c u to \c v as it follows.
453 451
  ///\code
454 452
  /// for(Edge e = findEdge(g,u,v); e != INVALID; 
455 453
  ///     e = findEdge(g,u,v,e)) {
456 454
  ///   ...
457 455
  /// }
458 456
  ///\endcode
459 457
  ///
460 458
  ///\sa ConArcIt
461 459

	
462 460
  template <typename Graph>
463 461
  inline typename Graph::Edge 
464 462
  findEdge(const Graph &g, typename Graph::Node u, typename Graph::Node v,
465 463
            typename Graph::Edge p = INVALID) {
466 464
    return _graph_utils_bits::FindEdgeSelector<Graph>::find(g, u, v, p);
467 465
  }
468 466

	
469 467
  /// \brief Iterator for iterating on edges connected the same nodes.
470 468
  ///
471 469
  /// Iterator for iterating on edges connected the same nodes. It is 
472 470
  /// higher level interface for the findEdge() function. You can
473 471
  /// use it the following way:
474 472
  ///\code
475 473
  /// for (ConEdgeIt<Graph> it(g, src, trg); it != INVALID; ++it) {
476 474
  ///   ...
477 475
  /// }
478 476
  ///\endcode
479 477
  ///
480 478
  ///\sa findEdge()
481
  ///
482
  /// \author Balazs Dezso 
483 479
  template <typename _Graph>
484 480
  class ConEdgeIt : public _Graph::Edge {
485 481
  public:
486 482

	
487 483
    typedef _Graph Graph;
488 484
    typedef typename Graph::Edge Parent;
489 485

	
490 486
    typedef typename Graph::Edge Edge;
491 487
    typedef typename Graph::Node Node;
492 488

	
493 489
    /// \brief Constructor.
494 490
    ///
495 491
    /// Construct a new ConEdgeIt iterating on the edges which
496 492
    /// connects the \c u and \c v node.
497 493
    ConEdgeIt(const Graph& g, Node u, Node v) : _graph(g) {
498 494
      Parent::operator=(findEdge(_graph, u, v));
499 495
    }
500 496

	
501 497
    /// \brief Constructor.
502 498
    ///
503 499
    /// Construct a new ConEdgeIt which continues the iterating from 
504 500
    /// the \c e edge.
505 501
    ConEdgeIt(const Graph& g, Edge e) : Parent(e), _graph(g) {}
506 502
    
507 503
    /// \brief Increment operator.
508 504
    ///
509 505
    /// It increments the iterator and gives back the next edge.
510 506
    ConEdgeIt& operator++() {
511 507
      Parent::operator=(findEdge(_graph, _graph.source(*this), 
512 508
				 _graph.target(*this), *this));
513 509
      return *this;
514 510
    }
515 511
  private:
516 512
    const Graph& _graph;
517 513
  };
518 514

	
519 515
  namespace _graph_utils_bits {
520 516

	
521 517
    template <typename Digraph, typename Item, typename RefMap>
522 518
    class MapCopyBase {
523 519
    public:
524 520
      virtual void copy(const Digraph& from, const RefMap& refMap) = 0;
525 521
      
526 522
      virtual ~MapCopyBase() {}
527 523
    };
528 524

	
529 525
    template <typename Digraph, typename Item, typename RefMap, 
530 526
              typename ToMap, typename FromMap>
531 527
    class MapCopy : public MapCopyBase<Digraph, Item, RefMap> {
532 528
    public:
533 529

	
534 530
      MapCopy(ToMap& tmap, const FromMap& map) 
535 531
        : _tmap(tmap), _map(map) {}
536 532
      
537 533
      virtual void copy(const Digraph& digraph, const RefMap& refMap) {
538 534
        typedef typename ItemSetTraits<Digraph, Item>::ItemIt ItemIt;
539 535
        for (ItemIt it(digraph); it != INVALID; ++it) {
540 536
          _tmap.set(refMap[it], _map[it]);
541 537
        }
542 538
      }
543 539

	
544 540
    private:
545 541
      ToMap& _tmap;
546 542
      const FromMap& _map;
547 543
    };
548 544

	
549 545
    template <typename Digraph, typename Item, typename RefMap, typename It>
550 546
    class ItemCopy : public MapCopyBase<Digraph, Item, RefMap> {
551 547
    public:
552 548

	
553 549
      ItemCopy(It& it, const Item& item) : _it(it), _item(item) {}
554 550
      
555 551
      virtual void copy(const Digraph&, const RefMap& refMap) {
556 552
        _it = refMap[_item];
557 553
      }
558 554

	
559 555
    private:
560 556
      It& _it;
561 557
      Item _item;
562 558
    };
563 559

	
564 560
    template <typename Digraph, typename Item, typename RefMap, typename Ref>
565 561
    class RefCopy : public MapCopyBase<Digraph, Item, RefMap> {
566 562
    public:
567 563

	
568 564
      RefCopy(Ref& map) : _map(map) {}
569 565
      
570 566
      virtual void copy(const Digraph& digraph, const RefMap& refMap) {
571 567
        typedef typename ItemSetTraits<Digraph, Item>::ItemIt ItemIt;
572 568
        for (ItemIt it(digraph); it != INVALID; ++it) {
573 569
          _map.set(it, refMap[it]);
574 570
        }
575 571
      }
576 572

	
577 573
    private:
578 574
      Ref& _map;
579 575
    };
580 576

	
581 577
    template <typename Digraph, typename Item, typename RefMap, 
582 578
              typename CrossRef>
583 579
    class CrossRefCopy : public MapCopyBase<Digraph, Item, RefMap> {
584 580
    public:
585 581

	
586 582
      CrossRefCopy(CrossRef& cmap) : _cmap(cmap) {}
587 583
      
588 584
      virtual void copy(const Digraph& digraph, const RefMap& refMap) {
589 585
        typedef typename ItemSetTraits<Digraph, Item>::ItemIt ItemIt;
590 586
        for (ItemIt it(digraph); it != INVALID; ++it) {
591 587
          _cmap.set(refMap[it], it);
592 588
        }
593 589
      }
594 590

	
595 591
    private:
596 592
      CrossRef& _cmap;
597 593
    };
598 594

	
599 595
    template <typename Digraph, typename Enable = void>
600 596
    struct DigraphCopySelector {
601 597
      template <typename From, typename NodeRefMap, typename ArcRefMap>
602 598
      static void copy(Digraph &to, const From& from,
603 599
                       NodeRefMap& nodeRefMap, ArcRefMap& arcRefMap) {
604 600
        for (typename From::NodeIt it(from); it != INVALID; ++it) {
605 601
          nodeRefMap[it] = to.addNode();
606 602
        }
607 603
        for (typename From::ArcIt it(from); it != INVALID; ++it) {
608 604
          arcRefMap[it] = to.addArc(nodeRefMap[from.source(it)], 
609 605
                                          nodeRefMap[from.target(it)]);
610 606
        }
611 607
      }
612 608
    };
613 609

	
614 610
    template <typename Digraph>
615 611
    struct DigraphCopySelector<
616 612
      Digraph, 
617 613
      typename enable_if<typename Digraph::BuildTag, void>::type> 
618 614
    {
619 615
      template <typename From, typename NodeRefMap, typename ArcRefMap>
620 616
      static void copy(Digraph &to, const From& from,
621 617
                       NodeRefMap& nodeRefMap, ArcRefMap& arcRefMap) {
622 618
        to.build(from, nodeRefMap, arcRefMap);
623 619
      }
624 620
    };
625 621

	
626 622
    template <typename Graph, typename Enable = void>
627 623
    struct GraphCopySelector {
628 624
      template <typename From, typename NodeRefMap, typename EdgeRefMap>
629 625
      static void copy(Graph &to, const From& from,
630 626
                       NodeRefMap& nodeRefMap, EdgeRefMap& edgeRefMap) {
631 627
        for (typename From::NodeIt it(from); it != INVALID; ++it) {
632 628
          nodeRefMap[it] = to.addNode();
633 629
        }
634 630
        for (typename From::EdgeIt it(from); it != INVALID; ++it) {
635 631
          edgeRefMap[it] = to.addArc(nodeRefMap[from.source(it)], 
636 632
				       nodeRefMap[from.target(it)]);
637 633
        }
638 634
      }
639 635
    };
640 636

	
641 637
    template <typename Graph>
642 638
    struct GraphCopySelector<
643 639
      Graph, 
644 640
      typename enable_if<typename Graph::BuildTag, void>::type> 
645 641
    {
646 642
      template <typename From, typename NodeRefMap, typename EdgeRefMap>
647 643
      static void copy(Graph &to, const From& from,
648 644
                       NodeRefMap& nodeRefMap, EdgeRefMap& edgeRefMap) {
649 645
        to.build(from, nodeRefMap, edgeRefMap);
650 646
      }
651 647
    };
652 648

	
653 649
  }
654 650

	
655 651
  /// \brief Class to copy a digraph.
656 652
  ///
657 653
  /// Class to copy a digraph to another digraph (duplicate a digraph). The
658 654
  /// simplest way of using it is through the \c copyDigraph() function.
659 655
  ///
660 656
  /// This class not just make a copy of a graph, but it can create
661 657
  /// references and cross references between the nodes and arcs of
662 658
  /// the two graphs, it can copy maps for use with the newly created
663 659
  /// graph and copy nodes and arcs.
664 660
  ///
665 661
  /// To make a copy from a graph, first an instance of DigraphCopy
666 662
  /// should be created, then the data belongs to the graph should
667 663
  /// assigned to copy. In the end, the \c run() member should be
668 664
  /// called.
669 665
  ///
670 666
  /// The next code copies a graph with several data:
671 667
  ///\code
672 668
  ///  DigraphCopy<NewGraph, OrigGraph> dc(new_graph, orig_graph);
673 669
  ///  // create a reference for the nodes
674 670
  ///  OrigGraph::NodeMap<NewGraph::Node> nr(orig_graph);
... ...
@@ -1053,1239 +1049,1235 @@
1053 1049
			  ArcRefMap, TArc>(tarc, sarc));
1054 1050
      return *this;
1055 1051
    }
1056 1052

	
1057 1053
    /// \brief Copies the edge references into the given map.
1058 1054
    ///
1059 1055
    /// Copies the edge references into the given map.
1060 1056
    template <typename EdgeRef>
1061 1057
    GraphCopy& edgeRef(EdgeRef& map) {
1062 1058
      _edge_maps.push_back(new _graph_utils_bits::RefCopy<From, Edge, 
1063 1059
			   EdgeRefMap, EdgeRef>(map));
1064 1060
      return *this;
1065 1061
    }
1066 1062

	
1067 1063
    /// \brief Copies the edge cross references into the given map.
1068 1064
    ///
1069 1065
    /// Copies the edge cross references (reverse
1070 1066
    /// references) into the given map.
1071 1067
    template <typename EdgeCrossRef>
1072 1068
    GraphCopy& edgeCrossRef(EdgeCrossRef& map) {
1073 1069
      _edge_maps.push_back(new _graph_utils_bits::CrossRefCopy<From, 
1074 1070
			   Edge, EdgeRefMap, EdgeCrossRef>(map));
1075 1071
      return *this;
1076 1072
    }
1077 1073

	
1078 1074
    /// \brief Make copy of the given map.
1079 1075
    ///
1080 1076
    /// Makes copy of the given map for the newly created graph. 
1081 1077
    /// The new map's key type is the to graph's edge type,
1082 1078
    /// and the copied map's key type is the from graph's edge
1083 1079
    /// type.  
1084 1080
    template <typename ToMap, typename FromMap>
1085 1081
    GraphCopy& edgeMap(ToMap& tmap, const FromMap& map) {
1086 1082
      _edge_maps.push_back(new _graph_utils_bits::MapCopy<From, Edge, 
1087 1083
			   EdgeRefMap, ToMap, FromMap>(tmap, map));
1088 1084
      return *this;
1089 1085
    }
1090 1086

	
1091 1087
    /// \brief Make a copy of the given edge.
1092 1088
    ///
1093 1089
    /// Make a copy of the given edge.
1094 1090
    GraphCopy& edge(TEdge& tedge, const Edge& sedge) {
1095 1091
      _edge_maps.push_back(new _graph_utils_bits::ItemCopy<From, Edge, 
1096 1092
			   EdgeRefMap, TEdge>(tedge, sedge));
1097 1093
      return *this;
1098 1094
    }
1099 1095

	
1100 1096
    /// \brief Executes the copies.
1101 1097
    ///
1102 1098
    /// Executes the copies.
1103 1099
    void run() {
1104 1100
      NodeRefMap nodeRefMap(_from);
1105 1101
      EdgeRefMap edgeRefMap(_from);
1106 1102
      ArcRefMap arcRefMap(_to, _from, edgeRefMap, nodeRefMap);
1107 1103
      _graph_utils_bits::GraphCopySelector<To>::
1108 1104
        copy(_to, _from, nodeRefMap, edgeRefMap);
1109 1105
      for (int i = 0; i < int(_node_maps.size()); ++i) {
1110 1106
        _node_maps[i]->copy(_from, nodeRefMap);
1111 1107
      }
1112 1108
      for (int i = 0; i < int(_edge_maps.size()); ++i) {
1113 1109
        _edge_maps[i]->copy(_from, edgeRefMap);
1114 1110
      }
1115 1111
      for (int i = 0; i < int(_arc_maps.size()); ++i) {
1116 1112
        _arc_maps[i]->copy(_from, arcRefMap);
1117 1113
      }
1118 1114
    }
1119 1115

	
1120 1116
  private:
1121 1117
    
1122 1118
    const From& _from;
1123 1119
    To& _to;
1124 1120

	
1125 1121
    std::vector<_graph_utils_bits::MapCopyBase<From, Node, NodeRefMap>* > 
1126 1122
    _node_maps;
1127 1123

	
1128 1124
    std::vector<_graph_utils_bits::MapCopyBase<From, Arc, ArcRefMap>* > 
1129 1125
    _arc_maps;
1130 1126

	
1131 1127
    std::vector<_graph_utils_bits::MapCopyBase<From, Edge, EdgeRefMap>* > 
1132 1128
    _edge_maps;
1133 1129

	
1134 1130
  };
1135 1131

	
1136 1132
  /// \brief Copy a graph to another graph.
1137 1133
  ///
1138 1134
  /// Copy a graph to another graph. The complete usage of the
1139 1135
  /// function is detailed in the GraphCopy class, but a short
1140 1136
  /// example shows a basic work:
1141 1137
  ///\code
1142 1138
  /// copyGraph(trg, src).nodeRef(nr).arcCrossRef(ecr).run();
1143 1139
  ///\endcode
1144 1140
  /// 
1145 1141
  /// After the copy the \c nr map will contain the mapping from the
1146 1142
  /// nodes of the \c from graph to the nodes of the \c to graph and
1147 1143
  /// \c ecr will contain the mapping from the arcs of the \c to graph
1148 1144
  /// to the arcs of the \c from graph.
1149 1145
  ///
1150 1146
  /// \see GraphCopy 
1151 1147
  template <typename To, typename From>
1152 1148
  GraphCopy<To, From> 
1153 1149
  copyGraph(To& to, const From& from) {
1154 1150
    return GraphCopy<To, From>(to, from);
1155 1151
  }
1156 1152

	
1157 1153
  /// @}
1158 1154

	
1159 1155
  /// \addtogroup graph_maps
1160 1156
  /// @{
1161 1157

	
1162 1158
  /// Provides an immutable and unique id for each item in the graph.
1163 1159

	
1164 1160
  /// The IdMap class provides a unique and immutable id for each item of the
1165 1161
  /// same type (e.g. node) in the graph. This id is <ul><li>\b unique:
1166 1162
  /// different items (nodes) get different ids <li>\b immutable: the id of an
1167 1163
  /// item (node) does not change (even if you delete other nodes).  </ul>
1168 1164
  /// Through this map you get access (i.e. can read) the inner id values of
1169 1165
  /// the items stored in the graph. This map can be inverted with its member
1170 1166
  /// class \c InverseMap or with the \c operator() member.
1171 1167
  ///
1172 1168
  template <typename _Graph, typename _Item>
1173 1169
  class IdMap {
1174 1170
  public:
1175 1171
    typedef _Graph Graph;
1176 1172
    typedef int Value;
1177 1173
    typedef _Item Item;
1178 1174
    typedef _Item Key;
1179 1175

	
1180 1176
    /// \brief Constructor.
1181 1177
    ///
1182 1178
    /// Constructor of the map.
1183 1179
    explicit IdMap(const Graph& graph) : _graph(&graph) {}
1184 1180

	
1185 1181
    /// \brief Gives back the \e id of the item.
1186 1182
    ///
1187 1183
    /// Gives back the immutable and unique \e id of the item.
1188 1184
    int operator[](const Item& item) const { return _graph->id(item);}
1189 1185

	
1190 1186
    /// \brief Gives back the item by its id.
1191 1187
    ///
1192 1188
    /// Gives back the item by its id.
1193 1189
    Item operator()(int id) { return _graph->fromId(id, Item()); }
1194 1190

	
1195 1191
  private:
1196 1192
    const Graph* _graph;
1197 1193

	
1198 1194
  public:
1199 1195

	
1200 1196
    /// \brief The class represents the inverse of its owner (IdMap).
1201 1197
    ///
1202 1198
    /// The class represents the inverse of its owner (IdMap).
1203 1199
    /// \see inverse()
1204 1200
    class InverseMap {
1205 1201
    public:
1206 1202

	
1207 1203
      /// \brief Constructor.
1208 1204
      ///
1209 1205
      /// Constructor for creating an id-to-item map.
1210 1206
      explicit InverseMap(const Graph& graph) : _graph(&graph) {}
1211 1207

	
1212 1208
      /// \brief Constructor.
1213 1209
      ///
1214 1210
      /// Constructor for creating an id-to-item map.
1215 1211
      explicit InverseMap(const IdMap& map) : _graph(map._graph) {}
1216 1212

	
1217 1213
      /// \brief Gives back the given item from its id.
1218 1214
      ///
1219 1215
      /// Gives back the given item from its id.
1220 1216
      /// 
1221 1217
      Item operator[](int id) const { return _graph->fromId(id, Item());}
1222 1218

	
1223 1219
    private:
1224 1220
      const Graph* _graph;
1225 1221
    };
1226 1222

	
1227 1223
    /// \brief Gives back the inverse of the map.
1228 1224
    ///
1229 1225
    /// Gives back the inverse of the IdMap.
1230 1226
    InverseMap inverse() const { return InverseMap(*_graph);} 
1231 1227

	
1232 1228
  };
1233 1229

	
1234 1230
  
1235 1231
  /// \brief General invertable graph-map type.
1236 1232

	
1237 1233
  /// This type provides simple invertable graph-maps. 
1238 1234
  /// The InvertableMap wraps an arbitrary ReadWriteMap 
1239 1235
  /// and if a key is set to a new value then store it
1240 1236
  /// in the inverse map.
1241 1237
  ///
1242 1238
  /// The values of the map can be accessed
1243 1239
  /// with stl compatible forward iterator.
1244 1240
  ///
1245
  /// \param _Graph The graph type.
1246
  /// \param _Item The item type of the graph.
1247
  /// \param _Value The value type of the map.
1241
  /// \tparam _Graph The graph type.
1242
  /// \tparam _Item The item type of the graph.
1243
  /// \tparam _Value The value type of the map.
1248 1244
  ///
1249 1245
  /// \see IterableValueMap
1250 1246
  template <typename _Graph, typename _Item, typename _Value>
1251 1247
  class InvertableMap : protected DefaultMap<_Graph, _Item, _Value> {
1252 1248
  private:
1253 1249
    
1254 1250
    typedef DefaultMap<_Graph, _Item, _Value> Map;
1255 1251
    typedef _Graph Graph;
1256 1252

	
1257 1253
    typedef std::map<_Value, _Item> Container;
1258 1254
    Container _inv_map;    
1259 1255

	
1260 1256
  public:
1261 1257
 
1262 1258
    /// The key type of InvertableMap (Node, Arc, Edge).
1263 1259
    typedef typename Map::Key Key;
1264 1260
    /// The value type of the InvertableMap.
1265 1261
    typedef typename Map::Value Value;
1266 1262

	
1267 1263

	
1268 1264

	
1269 1265
    /// \brief Constructor.
1270 1266
    ///
1271 1267
    /// Construct a new InvertableMap for the graph.
1272 1268
    ///
1273 1269
    explicit InvertableMap(const Graph& graph) : Map(graph) {} 
1274 1270

	
1275 1271
    /// \brief Forward iterator for values.
1276 1272
    ///
1277 1273
    /// This iterator is an stl compatible forward
1278 1274
    /// iterator on the values of the map. The values can
1279 1275
    /// be accessed in the [beginValue, endValue) range.
1280 1276
    ///
1281 1277
    class ValueIterator 
1282 1278
      : public std::iterator<std::forward_iterator_tag, Value> {
1283 1279
      friend class InvertableMap;
1284 1280
    private:
1285 1281
      ValueIterator(typename Container::const_iterator _it) 
1286 1282
        : it(_it) {}
1287 1283
    public:
1288 1284
      
1289 1285
      ValueIterator() {}
1290 1286

	
1291 1287
      ValueIterator& operator++() { ++it; return *this; }
1292 1288
      ValueIterator operator++(int) { 
1293 1289
        ValueIterator tmp(*this); 
1294 1290
        operator++();
1295 1291
        return tmp; 
1296 1292
      }
1297 1293

	
1298 1294
      const Value& operator*() const { return it->first; }
1299 1295
      const Value* operator->() const { return &(it->first); }
1300 1296

	
1301 1297
      bool operator==(ValueIterator jt) const { return it == jt.it; }
1302 1298
      bool operator!=(ValueIterator jt) const { return it != jt.it; }
1303 1299
      
1304 1300
    private:
1305 1301
      typename Container::const_iterator it;
1306 1302
    };
1307 1303

	
1308 1304
    /// \brief Returns an iterator to the first value.
1309 1305
    ///
1310 1306
    /// Returns an stl compatible iterator to the 
1311 1307
    /// first value of the map. The values of the
1312 1308
    /// map can be accessed in the [beginValue, endValue)
1313 1309
    /// range.
1314 1310
    ValueIterator beginValue() const {
1315 1311
      return ValueIterator(_inv_map.begin());
1316 1312
    }
1317 1313

	
1318 1314
    /// \brief Returns an iterator after the last value.
1319 1315
    ///
1320 1316
    /// Returns an stl compatible iterator after the 
1321 1317
    /// last value of the map. The values of the
1322 1318
    /// map can be accessed in the [beginValue, endValue)
1323 1319
    /// range.
1324 1320
    ValueIterator endValue() const {
1325 1321
      return ValueIterator(_inv_map.end());
1326 1322
    }
1327 1323
    
1328 1324
    /// \brief The setter function of the map.
1329 1325
    ///
1330 1326
    /// Sets the mapped value.
1331 1327
    void set(const Key& key, const Value& val) {
1332 1328
      Value oldval = Map::operator[](key);
1333 1329
      typename Container::iterator it = _inv_map.find(oldval);
1334 1330
      if (it != _inv_map.end() && it->second == key) {
1335 1331
	_inv_map.erase(it);
1336 1332
      }      
1337 1333
      _inv_map.insert(make_pair(val, key));
1338 1334
      Map::set(key, val);
1339 1335
    }
1340 1336

	
1341 1337
    /// \brief The getter function of the map.
1342 1338
    ///
1343 1339
    /// It gives back the value associated with the key.
1344 1340
    typename MapTraits<Map>::ConstReturnValue 
1345 1341
    operator[](const Key& key) const {
1346 1342
      return Map::operator[](key);
1347 1343
    }
1348 1344

	
1349 1345
    /// \brief Gives back the item by its value.
1350 1346
    ///
1351 1347
    /// Gives back the item by its value.
1352 1348
    Key operator()(const Value& key) const {
1353 1349
      typename Container::const_iterator it = _inv_map.find(key);
1354 1350
      return it != _inv_map.end() ? it->second : INVALID;
1355 1351
    }
1356 1352

	
1357 1353
  protected:
1358 1354

	
1359 1355
    /// \brief Erase the key from the map.
1360 1356
    ///
1361 1357
    /// Erase the key to the map. It is called by the
1362 1358
    /// \c AlterationNotifier.
1363 1359
    virtual void erase(const Key& key) {
1364 1360
      Value val = Map::operator[](key);
1365 1361
      typename Container::iterator it = _inv_map.find(val);
1366 1362
      if (it != _inv_map.end() && it->second == key) {
1367 1363
	_inv_map.erase(it);
1368 1364
      }
1369 1365
      Map::erase(key);
1370 1366
    }
1371 1367

	
1372 1368
    /// \brief Erase more keys from the map.
1373 1369
    ///
1374 1370
    /// Erase more keys from the map. It is called by the
1375 1371
    /// \c AlterationNotifier.
1376 1372
    virtual void erase(const std::vector<Key>& keys) {
1377 1373
      for (int i = 0; i < int(keys.size()); ++i) {
1378 1374
	Value val = Map::operator[](keys[i]);
1379 1375
	typename Container::iterator it = _inv_map.find(val);
1380 1376
	if (it != _inv_map.end() && it->second == keys[i]) {
1381 1377
	  _inv_map.erase(it);
1382 1378
	}
1383 1379
      }
1384 1380
      Map::erase(keys);
1385 1381
    }
1386 1382

	
1387 1383
    /// \brief Clear the keys from the map and inverse map.
1388 1384
    ///
1389 1385
    /// Clear the keys from the map and inverse map. It is called by the
1390 1386
    /// \c AlterationNotifier.
1391 1387
    virtual void clear() {
1392 1388
      _inv_map.clear();
1393 1389
      Map::clear();
1394 1390
    }
1395 1391

	
1396 1392
  public:
1397 1393

	
1398 1394
    /// \brief The inverse map type.
1399 1395
    ///
1400 1396
    /// The inverse of this map. The subscript operator of the map
1401 1397
    /// gives back always the item what was last assigned to the value. 
1402 1398
    class InverseMap {
1403 1399
    public:
1404 1400
      /// \brief Constructor of the InverseMap.
1405 1401
      ///
1406 1402
      /// Constructor of the InverseMap.
1407 1403
      explicit InverseMap(const InvertableMap& inverted) 
1408 1404
        : _inverted(inverted) {}
1409 1405

	
1410 1406
      /// The value type of the InverseMap.
1411 1407
      typedef typename InvertableMap::Key Value;
1412 1408
      /// The key type of the InverseMap.
1413 1409
      typedef typename InvertableMap::Value Key; 
1414 1410

	
1415 1411
      /// \brief Subscript operator. 
1416 1412
      ///
1417 1413
      /// Subscript operator. It gives back always the item 
1418 1414
      /// what was last assigned to the value.
1419 1415
      Value operator[](const Key& key) const {
1420 1416
	return _inverted(key);
1421 1417
      }
1422 1418
      
1423 1419
    private:
1424 1420
      const InvertableMap& _inverted;
1425 1421
    };
1426 1422

	
1427 1423
    /// \brief It gives back the just readable inverse map.
1428 1424
    ///
1429 1425
    /// It gives back the just readable inverse map.
1430 1426
    InverseMap inverse() const {
1431 1427
      return InverseMap(*this);
1432 1428
    } 
1433 1429

	
1434 1430

	
1435 1431
    
1436 1432
  };
1437 1433

	
1438 1434
  /// \brief Provides a mutable, continuous and unique descriptor for each 
1439 1435
  /// item in the graph.
1440 1436
  ///
1441 1437
  /// The DescriptorMap class provides a unique and continuous (but mutable)
1442 1438
  /// descriptor (id) for each item of the same type (e.g. node) in the
1443 1439
  /// graph. This id is <ul><li>\b unique: different items (nodes) get
1444 1440
  /// different ids <li>\b continuous: the range of the ids is the set of
1445 1441
  /// integers between 0 and \c n-1, where \c n is the number of the items of
1446 1442
  /// this type (e.g. nodes) (so the id of a node can change if you delete an
1447 1443
  /// other node, i.e. this id is mutable).  </ul> This map can be inverted
1448 1444
  /// with its member class \c InverseMap, or with the \c operator() member.
1449 1445
  ///
1450
  /// \param _Graph The graph class the \c DescriptorMap belongs to.
1451
  /// \param _Item The Item is the Key of the Map. It may be Node, Arc or 
1446
  /// \tparam _Graph The graph class the \c DescriptorMap belongs to.
1447
  /// \tparam _Item The Item is the Key of the Map. It may be Node, Arc or 
1452 1448
  /// Edge.
1453 1449
  template <typename _Graph, typename _Item>
1454 1450
  class DescriptorMap : protected DefaultMap<_Graph, _Item, int> {
1455 1451

	
1456 1452
    typedef _Item Item;
1457 1453
    typedef DefaultMap<_Graph, _Item, int> Map;
1458 1454

	
1459 1455
  public:
1460 1456
    /// The graph class of DescriptorMap.
1461 1457
    typedef _Graph Graph;
1462 1458

	
1463 1459
    /// The key type of DescriptorMap (Node, Arc, Edge).
1464 1460
    typedef typename Map::Key Key;
1465 1461
    /// The value type of DescriptorMap.
1466 1462
    typedef typename Map::Value Value;
1467 1463

	
1468 1464
    /// \brief Constructor.
1469 1465
    ///
1470 1466
    /// Constructor for descriptor map.
1471 1467
    explicit DescriptorMap(const Graph& _graph) : Map(_graph) {
1472 1468
      Item it;
1473 1469
      const typename Map::Notifier* nf = Map::notifier(); 
1474 1470
      for (nf->first(it); it != INVALID; nf->next(it)) {
1475 1471
	Map::set(it, _inv_map.size());
1476 1472
	_inv_map.push_back(it);	
1477 1473
      }      
1478 1474
    }
1479 1475

	
1480 1476
  protected:
1481 1477

	
1482 1478
    /// \brief Add a new key to the map.
1483 1479
    ///
1484 1480
    /// Add a new key to the map. It is called by the
1485 1481
    /// \c AlterationNotifier.
1486 1482
    virtual void add(const Item& item) {
1487 1483
      Map::add(item);
1488 1484
      Map::set(item, _inv_map.size());
1489 1485
      _inv_map.push_back(item);
1490 1486
    }
1491 1487

	
1492 1488
    /// \brief Add more new keys to the map.
1493 1489
    ///
1494 1490
    /// Add more new keys to the map. It is called by the
1495 1491
    /// \c AlterationNotifier.
1496 1492
    virtual void add(const std::vector<Item>& items) {
1497 1493
      Map::add(items);
1498 1494
      for (int i = 0; i < int(items.size()); ++i) {
1499 1495
	Map::set(items[i], _inv_map.size());
1500 1496
	_inv_map.push_back(items[i]);
1501 1497
      }
1502 1498
    }
1503 1499

	
1504 1500
    /// \brief Erase the key from the map.
1505 1501
    ///
1506 1502
    /// Erase the key from the map. It is called by the
1507 1503
    /// \c AlterationNotifier.
1508 1504
    virtual void erase(const Item& item) {
1509 1505
      Map::set(_inv_map.back(), Map::operator[](item));
1510 1506
      _inv_map[Map::operator[](item)] = _inv_map.back();
1511 1507
      _inv_map.pop_back();
1512 1508
      Map::erase(item);
1513 1509
    }
1514 1510

	
1515 1511
    /// \brief Erase more keys from the map.
1516 1512
    ///
1517 1513
    /// Erase more keys from the map. It is called by the
1518 1514
    /// \c AlterationNotifier.
1519 1515
    virtual void erase(const std::vector<Item>& items) {
1520 1516
      for (int i = 0; i < int(items.size()); ++i) {
1521 1517
	Map::set(_inv_map.back(), Map::operator[](items[i]));
1522 1518
	_inv_map[Map::operator[](items[i])] = _inv_map.back();
1523 1519
	_inv_map.pop_back();
1524 1520
      }
1525 1521
      Map::erase(items);
1526 1522
    }
1527 1523

	
1528 1524
    /// \brief Build the unique map.
1529 1525
    ///
1530 1526
    /// Build the unique map. It is called by the
1531 1527
    /// \c AlterationNotifier.
1532 1528
    virtual void build() {
1533 1529
      Map::build();
1534 1530
      Item it;
1535 1531
      const typename Map::Notifier* nf = Map::notifier(); 
1536 1532
      for (nf->first(it); it != INVALID; nf->next(it)) {
1537 1533
	Map::set(it, _inv_map.size());
1538 1534
	_inv_map.push_back(it);	
1539 1535
      }      
1540 1536
    }
1541 1537
    
1542 1538
    /// \brief Clear the keys from the map.
1543 1539
    ///
1544 1540
    /// Clear the keys from the map. It is called by the
1545 1541
    /// \c AlterationNotifier.
1546 1542
    virtual void clear() {
1547 1543
      _inv_map.clear();
1548 1544
      Map::clear();
1549 1545
    }
1550 1546

	
1551 1547
  public:
1552 1548

	
1553 1549
    /// \brief Returns the maximal value plus one.
1554 1550
    ///
1555 1551
    /// Returns the maximal value plus one in the map.
1556 1552
    unsigned int size() const {
1557 1553
      return _inv_map.size();
1558 1554
    }
1559 1555

	
1560 1556
    /// \brief Swaps the position of the two items in the map.
1561 1557
    ///
1562 1558
    /// Swaps the position of the two items in the map.
1563 1559
    void swap(const Item& p, const Item& q) {
1564 1560
      int pi = Map::operator[](p);
1565 1561
      int qi = Map::operator[](q);
1566 1562
      Map::set(p, qi);
1567 1563
      _inv_map[qi] = p;
1568 1564
      Map::set(q, pi);
1569 1565
      _inv_map[pi] = q;
1570 1566
    }
1571 1567

	
1572 1568
    /// \brief Gives back the \e descriptor of the item.
1573 1569
    ///
1574 1570
    /// Gives back the mutable and unique \e descriptor of the map.
1575 1571
    int operator[](const Item& item) const {
1576 1572
      return Map::operator[](item);
1577 1573
    }
1578 1574

	
1579 1575
    /// \brief Gives back the item by its descriptor.
1580 1576
    ///
1581 1577
    /// Gives back th item by its descriptor.
1582 1578
    Item operator()(int id) const {
1583 1579
      return _inv_map[id];
1584 1580
    }
1585 1581
    
1586 1582
  private:
1587 1583

	
1588 1584
    typedef std::vector<Item> Container;
1589 1585
    Container _inv_map;
1590 1586

	
1591 1587
  public:
1592 1588
    /// \brief The inverse map type of DescriptorMap.
1593 1589
    ///
1594 1590
    /// The inverse map type of DescriptorMap.
1595 1591
    class InverseMap {
1596 1592
    public:
1597 1593
      /// \brief Constructor of the InverseMap.
1598 1594
      ///
1599 1595
      /// Constructor of the InverseMap.
1600 1596
      explicit InverseMap(const DescriptorMap& inverted) 
1601 1597
	: _inverted(inverted) {}
1602 1598

	
1603 1599

	
1604 1600
      /// The value type of the InverseMap.
1605 1601
      typedef typename DescriptorMap::Key Value;
1606 1602
      /// The key type of the InverseMap.
1607 1603
      typedef typename DescriptorMap::Value Key; 
1608 1604

	
1609 1605
      /// \brief Subscript operator. 
1610 1606
      ///
1611 1607
      /// Subscript operator. It gives back the item 
1612 1608
      /// that the descriptor belongs to currently.
1613 1609
      Value operator[](const Key& key) const {
1614 1610
	return _inverted(key);
1615 1611
      }
1616 1612

	
1617 1613
      /// \brief Size of the map.
1618 1614
      ///
1619 1615
      /// Returns the size of the map.
1620 1616
      unsigned int size() const {
1621 1617
	return _inverted.size();
1622 1618
      }
1623 1619
      
1624 1620
    private:
1625 1621
      const DescriptorMap& _inverted;
1626 1622
    };
1627 1623

	
1628 1624
    /// \brief Gives back the inverse of the map.
1629 1625
    ///
1630 1626
    /// Gives back the inverse of the map.
1631 1627
    const InverseMap inverse() const {
1632 1628
      return InverseMap(*this);
1633 1629
    }
1634 1630
  };
1635 1631

	
1636 1632
  /// \brief Returns the source of the given arc.
1637 1633
  ///
1638 1634
  /// The SourceMap gives back the source Node of the given arc. 
1639 1635
  /// \see TargetMap
1640
  /// \author Balazs Dezso
1641 1636
  template <typename Digraph>
1642 1637
  class SourceMap {
1643 1638
  public:
1644 1639

	
1645 1640
    typedef typename Digraph::Node Value;
1646 1641
    typedef typename Digraph::Arc Key;
1647 1642

	
1648 1643
    /// \brief Constructor
1649 1644
    ///
1650 1645
    /// Constructor
1651 1646
    /// \param _digraph The digraph that the map belongs to.
1652 1647
    explicit SourceMap(const Digraph& digraph) : _digraph(digraph) {}
1653 1648

	
1654 1649
    /// \brief The subscript operator.
1655 1650
    ///
1656 1651
    /// The subscript operator.
1657 1652
    /// \param arc The arc 
1658 1653
    /// \return The source of the arc 
1659 1654
    Value operator[](const Key& arc) const {
1660 1655
      return _digraph.source(arc);
1661 1656
    }
1662 1657

	
1663 1658
  private:
1664 1659
    const Digraph& _digraph;
1665 1660
  };
1666 1661

	
1667 1662
  /// \brief Returns a \ref SourceMap class.
1668 1663
  ///
1669 1664
  /// This function just returns an \ref SourceMap class.
1670 1665
  /// \relates SourceMap
1671 1666
  template <typename Digraph>
1672 1667
  inline SourceMap<Digraph> sourceMap(const Digraph& digraph) {
1673 1668
    return SourceMap<Digraph>(digraph);
1674 1669
  } 
1675 1670

	
1676 1671
  /// \brief Returns the target of the given arc.
1677 1672
  ///
1678 1673
  /// The TargetMap gives back the target Node of the given arc. 
1679 1674
  /// \see SourceMap
1680
  /// \author Balazs Dezso
1681 1675
  template <typename Digraph>
1682 1676
  class TargetMap {
1683 1677
  public:
1684 1678

	
1685 1679
    typedef typename Digraph::Node Value;
1686 1680
    typedef typename Digraph::Arc Key;
1687 1681

	
1688 1682
    /// \brief Constructor
1689 1683
    ///
1690 1684
    /// Constructor
1691 1685
    /// \param _digraph The digraph that the map belongs to.
1692 1686
    explicit TargetMap(const Digraph& digraph) : _digraph(digraph) {}
1693 1687

	
1694 1688
    /// \brief The subscript operator.
1695 1689
    ///
1696 1690
    /// The subscript operator.
1697 1691
    /// \param e The arc 
1698 1692
    /// \return The target of the arc 
1699 1693
    Value operator[](const Key& e) const {
1700 1694
      return _digraph.target(e);
1701 1695
    }
1702 1696

	
1703 1697
  private:
1704 1698
    const Digraph& _digraph;
1705 1699
  };
1706 1700

	
1707 1701
  /// \brief Returns a \ref TargetMap class.
1708 1702
  ///
1709 1703
  /// This function just returns a \ref TargetMap class.
1710 1704
  /// \relates TargetMap
1711 1705
  template <typename Digraph>
1712 1706
  inline TargetMap<Digraph> targetMap(const Digraph& digraph) {
1713 1707
    return TargetMap<Digraph>(digraph);
1714 1708
  }
1715 1709

	
1716 1710
  /// \brief Returns the "forward" directed arc view of an edge.
1717 1711
  ///
1718 1712
  /// Returns the "forward" directed arc view of an edge.
1719 1713
  /// \see BackwardMap
1720
  /// \author Balazs Dezso
1721 1714
  template <typename Graph>
1722 1715
  class ForwardMap {
1723 1716
  public:
1724 1717

	
1725 1718
    typedef typename Graph::Arc Value;
1726 1719
    typedef typename Graph::Edge Key;
1727 1720

	
1728 1721
    /// \brief Constructor
1729 1722
    ///
1730 1723
    /// Constructor
1731 1724
    /// \param _graph The graph that the map belongs to.
1732 1725
    explicit ForwardMap(const Graph& graph) : _graph(graph) {}
1733 1726

	
1734 1727
    /// \brief The subscript operator.
1735 1728
    ///
1736 1729
    /// The subscript operator.
1737 1730
    /// \param key An edge 
1738 1731
    /// \return The "forward" directed arc view of edge 
1739 1732
    Value operator[](const Key& key) const {
1740 1733
      return _graph.direct(key, true);
1741 1734
    }
1742 1735

	
1743 1736
  private:
1744 1737
    const Graph& _graph;
1745 1738
  };
1746 1739

	
1747 1740
  /// \brief Returns a \ref ForwardMap class.
1748 1741
  ///
1749 1742
  /// This function just returns an \ref ForwardMap class.
1750 1743
  /// \relates ForwardMap
1751 1744
  template <typename Graph>
1752 1745
  inline ForwardMap<Graph> forwardMap(const Graph& graph) {
1753 1746
    return ForwardMap<Graph>(graph);
1754 1747
  }
1755 1748

	
1756 1749
  /// \brief Returns the "backward" directed arc view of an edge.
1757 1750
  ///
1758 1751
  /// Returns the "backward" directed arc view of an edge.
1759 1752
  /// \see ForwardMap
1760
  /// \author Balazs Dezso
1761 1753
  template <typename Graph>
1762 1754
  class BackwardMap {
1763 1755
  public:
1764 1756

	
1765 1757
    typedef typename Graph::Arc Value;
1766 1758
    typedef typename Graph::Edge Key;
1767 1759

	
1768 1760
    /// \brief Constructor
1769 1761
    ///
1770 1762
    /// Constructor
1771 1763
    /// \param _graph The graph that the map belongs to.
1772 1764
    explicit BackwardMap(const Graph& graph) : _graph(graph) {}
1773 1765

	
1774 1766
    /// \brief The subscript operator.
1775 1767
    ///
1776 1768
    /// The subscript operator.
1777 1769
    /// \param key An edge 
1778 1770
    /// \return The "backward" directed arc view of edge 
1779 1771
    Value operator[](const Key& key) const {
1780 1772
      return _graph.direct(key, false);
1781 1773
    }
1782 1774

	
1783 1775
  private:
1784 1776
    const Graph& _graph;
1785 1777
  };
1786 1778

	
1787 1779
  /// \brief Returns a \ref BackwardMap class
1788 1780

	
1789 1781
  /// This function just returns a \ref BackwardMap class.
1790 1782
  /// \relates BackwardMap
1791 1783
  template <typename Graph>
1792 1784
  inline BackwardMap<Graph> backwardMap(const Graph& graph) {
1793 1785
    return BackwardMap<Graph>(graph);
1794 1786
  }
1795 1787

	
1796 1788
  /// \brief Potential difference map
1797 1789
  ///
1798 1790
  /// If there is an potential map on the nodes then we
1799 1791
  /// can get an arc map as we get the substraction of the
1800 1792
  /// values of the target and source.
1801 1793
  template <typename Digraph, typename NodeMap>
1802 1794
  class PotentialDifferenceMap {
1803 1795
  public:
1804 1796
    typedef typename Digraph::Arc Key;
1805 1797
    typedef typename NodeMap::Value Value;
1806 1798

	
1807 1799
    /// \brief Constructor
1808 1800
    ///
1809 1801
    /// Contructor of the map
1810 1802
    explicit PotentialDifferenceMap(const Digraph& digraph, 
1811 1803
                                    const NodeMap& potential) 
1812 1804
      : _digraph(digraph), _potential(potential) {}
1813 1805

	
1814 1806
    /// \brief Const subscription operator
1815 1807
    ///
1816 1808
    /// Const subscription operator
1817 1809
    Value operator[](const Key& arc) const {
1818 1810
      return _potential[_digraph.target(arc)] - 
1819 1811
	_potential[_digraph.source(arc)];
1820 1812
    }
1821 1813

	
1822 1814
  private:
1823 1815
    const Digraph& _digraph;
1824 1816
    const NodeMap& _potential;
1825 1817
  };
1826 1818

	
1827 1819
  /// \brief Returns a PotentialDifferenceMap.
1828 1820
  ///
1829 1821
  /// This function just returns a PotentialDifferenceMap.
1830 1822
  /// \relates PotentialDifferenceMap
1831 1823
  template <typename Digraph, typename NodeMap>
1832 1824
  PotentialDifferenceMap<Digraph, NodeMap> 
1833 1825
  potentialDifferenceMap(const Digraph& digraph, const NodeMap& potential) {
1834 1826
    return PotentialDifferenceMap<Digraph, NodeMap>(digraph, potential);
1835 1827
  }
1836 1828

	
1837 1829
  /// \brief Map of the node in-degrees.
1838 1830
  ///
1839 1831
  /// This map returns the in-degree of a node. Once it is constructed,
1840 1832
  /// the degrees are stored in a standard NodeMap, so each query is done
1841 1833
  /// in constant time. On the other hand, the values are updated automatically
1842 1834
  /// whenever the digraph changes.
1843 1835
  ///
1844 1836
  /// \warning Besides addNode() and addArc(), a digraph structure may provide
1845 1837
  /// alternative ways to modify the digraph. The correct behavior of InDegMap
1846 1838
  /// is not guarantied if these additional features are used. For example
1847 1839
  /// the functions \ref ListDigraph::changeSource() "changeSource()",
1848 1840
  /// \ref ListDigraph::changeTarget() "changeTarget()" and
1849 1841
  /// \ref ListDigraph::reverseArc() "reverseArc()"
1850 1842
  /// of \ref ListDigraph will \e not update the degree values correctly.
1851 1843
  ///
1852 1844
  /// \sa OutDegMap
1853 1845

	
1854 1846
  template <typename _Digraph>
1855 1847
  class InDegMap  
1856 1848
    : protected ItemSetTraits<_Digraph, typename _Digraph::Arc>
1857 1849
      ::ItemNotifier::ObserverBase {
1858 1850

	
1859 1851
  public:
1860 1852
    
1861 1853
    typedef _Digraph Digraph;
1862 1854
    typedef int Value;
1863 1855
    typedef typename Digraph::Node Key;
1864 1856

	
1865 1857
    typedef typename ItemSetTraits<Digraph, typename Digraph::Arc>
1866 1858
    ::ItemNotifier::ObserverBase Parent;
1867 1859

	
1868 1860
  private:
1869 1861

	
1870 1862
    class AutoNodeMap : public DefaultMap<Digraph, Key, int> {
1871 1863
    public:
1872 1864

	
1873 1865
      typedef DefaultMap<Digraph, Key, int> Parent;
1874 1866

	
1875 1867
      AutoNodeMap(const Digraph& digraph) : Parent(digraph, 0) {}
1876 1868
      
1877 1869
      virtual void add(const Key& key) {
1878 1870
	Parent::add(key);
1879 1871
	Parent::set(key, 0);
1880 1872
      }
1881 1873

	
1882 1874
      virtual void add(const std::vector<Key>& keys) {
1883 1875
	Parent::add(keys);
1884 1876
	for (int i = 0; i < int(keys.size()); ++i) {
1885 1877
	  Parent::set(keys[i], 0);
1886 1878
	}
1887 1879
      }
1888 1880

	
1889 1881
      virtual void build() {
1890 1882
	Parent::build();
1891 1883
	Key it;
1892 1884
	typename Parent::Notifier* nf = Parent::notifier();
1893 1885
	for (nf->first(it); it != INVALID; nf->next(it)) {
1894 1886
	  Parent::set(it, 0);
1895 1887
	}
1896 1888
      }
1897 1889
    };
1898 1890

	
1899 1891
  public:
1900 1892

	
1901 1893
    /// \brief Constructor.
1902 1894
    ///
1903 1895
    /// Constructor for creating in-degree map.
1904 1896
    explicit InDegMap(const Digraph& digraph) 
1905 1897
      : _digraph(digraph), _deg(digraph) {
1906 1898
      Parent::attach(_digraph.notifier(typename Digraph::Arc()));
1907 1899
      
1908 1900
      for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
1909 1901
	_deg[it] = countInArcs(_digraph, it);
1910 1902
      }
1911 1903
    }
1912 1904
    
1913 1905
    /// Gives back the in-degree of a Node.
1914 1906
    int operator[](const Key& key) const {
1915 1907
      return _deg[key];
1916 1908
    }
1917 1909

	
1918 1910
  protected:
1919 1911
    
1920 1912
    typedef typename Digraph::Arc Arc;
1921 1913

	
1922 1914
    virtual void add(const Arc& arc) {
1923 1915
      ++_deg[_digraph.target(arc)];
1924 1916
    }
1925 1917

	
1926 1918
    virtual void add(const std::vector<Arc>& arcs) {
1927 1919
      for (int i = 0; i < int(arcs.size()); ++i) {
1928 1920
        ++_deg[_digraph.target(arcs[i])];
1929 1921
      }
1930 1922
    }
1931 1923

	
1932 1924
    virtual void erase(const Arc& arc) {
1933 1925
      --_deg[_digraph.target(arc)];
1934 1926
    }
1935 1927

	
1936 1928
    virtual void erase(const std::vector<Arc>& arcs) {
1937 1929
      for (int i = 0; i < int(arcs.size()); ++i) {
1938 1930
        --_deg[_digraph.target(arcs[i])];
1939 1931
      }
1940 1932
    }
1941 1933

	
1942 1934
    virtual void build() {
1943 1935
      for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
1944 1936
	_deg[it] = countInArcs(_digraph, it);
1945 1937
      }      
1946 1938
    }
1947 1939

	
1948 1940
    virtual void clear() {
1949 1941
      for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
1950 1942
	_deg[it] = 0;
1951 1943
      }
1952 1944
    }
1953 1945
  private:
1954 1946
    
1955 1947
    const Digraph& _digraph;
1956 1948
    AutoNodeMap _deg;
1957 1949
  };
1958 1950

	
1959 1951
  /// \brief Map of the node out-degrees.
1960 1952
  ///
1961 1953
  /// This map returns the out-degree of a node. Once it is constructed,
1962 1954
  /// the degrees are stored in a standard NodeMap, so each query is done
1963 1955
  /// in constant time. On the other hand, the values are updated automatically
1964 1956
  /// whenever the digraph changes.
1965 1957
  ///
1966 1958
  /// \warning Besides addNode() and addArc(), a digraph structure may provide
1967 1959
  /// alternative ways to modify the digraph. The correct behavior of OutDegMap
1968 1960
  /// is not guarantied if these additional features are used. For example
1969 1961
  /// the functions \ref ListDigraph::changeSource() "changeSource()",
1970 1962
  /// \ref ListDigraph::changeTarget() "changeTarget()" and
1971 1963
  /// \ref ListDigraph::reverseArc() "reverseArc()"
1972 1964
  /// of \ref ListDigraph will \e not update the degree values correctly.
1973 1965
  ///
1974 1966
  /// \sa InDegMap
1975 1967

	
1976 1968
  template <typename _Digraph>
1977 1969
  class OutDegMap  
1978 1970
    : protected ItemSetTraits<_Digraph, typename _Digraph::Arc>
1979 1971
      ::ItemNotifier::ObserverBase {
1980 1972

	
1981 1973
  public:
1982 1974
    
1983 1975
    typedef _Digraph Digraph;
1984 1976
    typedef int Value;
1985 1977
    typedef typename Digraph::Node Key;
1986 1978

	
1987 1979
    typedef typename ItemSetTraits<Digraph, typename Digraph::Arc>
1988 1980
    ::ItemNotifier::ObserverBase Parent;
1989 1981

	
1990 1982
  private:
1991 1983

	
1992 1984
    class AutoNodeMap : public DefaultMap<Digraph, Key, int> {
1993 1985
    public:
1994 1986

	
1995 1987
      typedef DefaultMap<Digraph, Key, int> Parent;
1996 1988

	
1997 1989
      AutoNodeMap(const Digraph& digraph) : Parent(digraph, 0) {}
1998 1990
      
1999 1991
      virtual void add(const Key& key) {
2000 1992
	Parent::add(key);
2001 1993
	Parent::set(key, 0);
2002 1994
      }
2003 1995
      virtual void add(const std::vector<Key>& keys) {
2004 1996
	Parent::add(keys);
2005 1997
	for (int i = 0; i < int(keys.size()); ++i) {
2006 1998
	  Parent::set(keys[i], 0);
2007 1999
	}
2008 2000
      }
2009 2001
      virtual void build() {
2010 2002
	Parent::build();
2011 2003
	Key it;
2012 2004
	typename Parent::Notifier* nf = Parent::notifier();
2013 2005
	for (nf->first(it); it != INVALID; nf->next(it)) {
2014 2006
	  Parent::set(it, 0);
2015 2007
	}
2016 2008
      }
2017 2009
    };
2018 2010

	
2019 2011
  public:
2020 2012

	
2021 2013
    /// \brief Constructor.
2022 2014
    ///
2023 2015
    /// Constructor for creating out-degree map.
2024 2016
    explicit OutDegMap(const Digraph& digraph) 
2025 2017
      : _digraph(digraph), _deg(digraph) {
2026 2018
      Parent::attach(_digraph.notifier(typename Digraph::Arc()));
2027 2019
      
2028 2020
      for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
2029 2021
	_deg[it] = countOutArcs(_digraph, it);
2030 2022
      }
2031 2023
    }
2032 2024

	
2033 2025
    /// Gives back the out-degree of a Node.
2034 2026
    int operator[](const Key& key) const {
2035 2027
      return _deg[key];
2036 2028
    }
2037 2029

	
2038 2030
  protected:
2039 2031
    
2040 2032
    typedef typename Digraph::Arc Arc;
2041 2033

	
2042 2034
    virtual void add(const Arc& arc) {
2043 2035
      ++_deg[_digraph.source(arc)];
2044 2036
    }
2045 2037

	
2046 2038
    virtual void add(const std::vector<Arc>& arcs) {
2047 2039
      for (int i = 0; i < int(arcs.size()); ++i) {
2048 2040
        ++_deg[_digraph.source(arcs[i])];
2049 2041
      }
2050 2042
    }
2051 2043

	
2052 2044
    virtual void erase(const Arc& arc) {
2053 2045
      --_deg[_digraph.source(arc)];
2054 2046
    }
2055 2047

	
2056 2048
    virtual void erase(const std::vector<Arc>& arcs) {
2057 2049
      for (int i = 0; i < int(arcs.size()); ++i) {
2058 2050
        --_deg[_digraph.source(arcs[i])];
2059 2051
      }
2060 2052
    }
2061 2053

	
2062 2054
    virtual void build() {
2063 2055
      for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
2064 2056
	_deg[it] = countOutArcs(_digraph, it);
2065 2057
      }      
2066 2058
    }
2067 2059

	
2068 2060
    virtual void clear() {
2069 2061
      for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
2070 2062
	_deg[it] = 0;
2071 2063
      }
2072 2064
    }
2073 2065
  private:
2074 2066
    
2075 2067
    const Digraph& _digraph;
2076 2068
    AutoNodeMap _deg;
2077 2069
  };
2078 2070

	
2079 2071

	
2080 2072
  ///Dynamic arc look up between given endpoints.
2081 2073
  
2082 2074
  ///\ingroup gutils
2083 2075
  ///Using this class, you can find an arc in a digraph from a given
2084 2076
  ///source to a given target in amortized time <em>O(log d)</em>,
2085 2077
  ///where <em>d</em> is the out-degree of the source node.
2086 2078
  ///
2087 2079
  ///It is possible to find \e all parallel arcs between two nodes with
2088 2080
  ///the \c findFirst() and \c findNext() members.
2089 2081
  ///
2090 2082
  ///See the \ref ArcLookUp and \ref AllArcLookUp classes if your
2091 2083
  ///digraph is not changed so frequently.
2092 2084
  ///
2093 2085
  ///This class uses a self-adjusting binary search tree, Sleator's
2094 2086
  ///and Tarjan's Splay tree for guarantee the logarithmic amortized
2095 2087
  ///time bound for arc lookups. This class also guarantees the
2096 2088
  ///optimal time bound in a constant factor for any distribution of
2097 2089
  ///queries.
2098 2090
  ///
2099
  ///\param G The type of the underlying digraph.  
2091
  ///\tparam G The type of the underlying digraph.  
2100 2092
  ///
2101 2093
  ///\sa ArcLookUp  
2102 2094
  ///\sa AllArcLookUp  
2103 2095
  template<class G>
2104 2096
  class DynArcLookUp 
2105 2097
    : protected ItemSetTraits<G, typename G::Arc>::ItemNotifier::ObserverBase
2106 2098
  {
2107 2099
  public:
2108 2100
    typedef typename ItemSetTraits<G, typename G::Arc>
2109 2101
    ::ItemNotifier::ObserverBase Parent;
2110 2102

	
2111 2103
    TEMPLATE_DIGRAPH_TYPEDEFS(G);
2112 2104
    typedef G Digraph;
2113 2105

	
2114 2106
  protected:
2115 2107

	
2116 2108
    class AutoNodeMap : public DefaultMap<G, Node, Arc> {
2117 2109
    public:
2118 2110

	
2119 2111
      typedef DefaultMap<G, Node, Arc> Parent;
2120 2112

	
2121 2113
      AutoNodeMap(const G& digraph) : Parent(digraph, INVALID) {}
2122 2114
      
2123 2115
      virtual void add(const Node& node) {
2124 2116
	Parent::add(node);
2125 2117
	Parent::set(node, INVALID);
2126 2118
      }
2127 2119

	
2128 2120
      virtual void add(const std::vector<Node>& nodes) {
2129 2121
	Parent::add(nodes);
2130 2122
	for (int i = 0; i < int(nodes.size()); ++i) {
2131 2123
	  Parent::set(nodes[i], INVALID);
2132 2124
	}
2133 2125
      }
2134 2126

	
2135 2127
      virtual void build() {
2136 2128
	Parent::build();
2137 2129
	Node it;
2138 2130
	typename Parent::Notifier* nf = Parent::notifier();
2139 2131
	for (nf->first(it); it != INVALID; nf->next(it)) {
2140 2132
	  Parent::set(it, INVALID);
2141 2133
	}
2142 2134
      }
2143 2135
    };
2144 2136

	
2145 2137
    const Digraph &_g;
2146 2138
    AutoNodeMap _head;
2147 2139
    typename Digraph::template ArcMap<Arc> _parent;
2148 2140
    typename Digraph::template ArcMap<Arc> _left;
2149 2141
    typename Digraph::template ArcMap<Arc> _right;
2150 2142
    
2151 2143
    class ArcLess {
2152 2144
      const Digraph &g;
2153 2145
    public:
2154 2146
      ArcLess(const Digraph &_g) : g(_g) {}
2155 2147
      bool operator()(Arc a,Arc b) const 
2156 2148
      {
2157 2149
	return g.target(a)<g.target(b);
2158 2150
      }
2159 2151
    };
2160 2152
    
2161 2153
  public:
2162 2154
    
2163 2155
    ///Constructor
2164 2156

	
2165 2157
    ///Constructor.
2166 2158
    ///
2167 2159
    ///It builds up the search database.
2168 2160
    DynArcLookUp(const Digraph &g) 
2169 2161
      : _g(g),_head(g),_parent(g),_left(g),_right(g) 
2170 2162
    { 
2171 2163
      Parent::attach(_g.notifier(typename Digraph::Arc()));
2172 2164
      refresh(); 
2173 2165
    }
2174 2166
    
2175 2167
  protected:
2176 2168

	
2177 2169
    virtual void add(const Arc& arc) {
2178 2170
      insert(arc);
2179 2171
    }
2180 2172

	
2181 2173
    virtual void add(const std::vector<Arc>& arcs) {
2182 2174
      for (int i = 0; i < int(arcs.size()); ++i) {
2183 2175
	insert(arcs[i]);
2184 2176
      }
2185 2177
    }
2186 2178

	
2187 2179
    virtual void erase(const Arc& arc) {
2188 2180
      remove(arc);
2189 2181
    }
2190 2182

	
2191 2183
    virtual void erase(const std::vector<Arc>& arcs) {
2192 2184
      for (int i = 0; i < int(arcs.size()); ++i) {
2193 2185
	remove(arcs[i]);
2194 2186
      }     
2195 2187
    }
2196 2188

	
2197 2189
    virtual void build() {
2198 2190
      refresh();
2199 2191
    }
2200 2192

	
2201 2193
    virtual void clear() {
2202 2194
      for(NodeIt n(_g);n!=INVALID;++n) {
2203 2195
	_head.set(n, INVALID);
2204 2196
      }
2205 2197
    }
2206 2198

	
2207 2199
    void insert(Arc arc) {
2208 2200
      Node s = _g.source(arc);
2209 2201
      Node t = _g.target(arc);
2210 2202
      _left.set(arc, INVALID);
2211 2203
      _right.set(arc, INVALID);
2212 2204
      
2213 2205
      Arc e = _head[s];
2214 2206
      if (e == INVALID) {
2215 2207
	_head.set(s, arc);
2216 2208
	_parent.set(arc, INVALID);
2217 2209
	return;
2218 2210
      }
2219 2211
      while (true) {
2220 2212
	if (t < _g.target(e)) {
2221 2213
	  if (_left[e] == INVALID) {
2222 2214
	    _left.set(e, arc);
2223 2215
	    _parent.set(arc, e);
2224 2216
	    splay(arc);
2225 2217
	    return;
2226 2218
	  } else {
2227 2219
	    e = _left[e];
2228 2220
	  }
2229 2221
	} else {
2230 2222
	  if (_right[e] == INVALID) {
2231 2223
	    _right.set(e, arc);
2232 2224
	    _parent.set(arc, e);
2233 2225
	    splay(arc);
2234 2226
	    return;
2235 2227
	  } else {
2236 2228
	    e = _right[e];
2237 2229
	  }
2238 2230
	}
2239 2231
      }
2240 2232
    }
2241 2233

	
2242 2234
    void remove(Arc arc) {
2243 2235
      if (_left[arc] == INVALID) {
2244 2236
	if (_right[arc] != INVALID) {
2245 2237
	  _parent.set(_right[arc], _parent[arc]);
2246 2238
	}
2247 2239
	if (_parent[arc] != INVALID) {
2248 2240
	  if (_left[_parent[arc]] == arc) {
2249 2241
	    _left.set(_parent[arc], _right[arc]);
2250 2242
	  } else {
2251 2243
	    _right.set(_parent[arc], _right[arc]);
2252 2244
	  }
2253 2245
	} else {
2254 2246
	  _head.set(_g.source(arc), _right[arc]);
2255 2247
	}
2256 2248
      } else if (_right[arc] == INVALID) {
2257 2249
	_parent.set(_left[arc], _parent[arc]);
2258 2250
	if (_parent[arc] != INVALID) {
2259 2251
	  if (_left[_parent[arc]] == arc) {
2260 2252
	    _left.set(_parent[arc], _left[arc]);
2261 2253
	  } else {
2262 2254
	    _right.set(_parent[arc], _left[arc]);
2263 2255
	  }
2264 2256
	} else {
2265 2257
	  _head.set(_g.source(arc), _left[arc]);
2266 2258
	}
2267 2259
      } else {
2268 2260
	Arc e = _left[arc];
2269 2261
	if (_right[e] != INVALID) {
2270 2262
	  e = _right[e];	  
2271 2263
	  while (_right[e] != INVALID) {
2272 2264
	    e = _right[e];
2273 2265
	  }
2274 2266
	  Arc s = _parent[e];
2275 2267
	  _right.set(_parent[e], _left[e]);
2276 2268
	  if (_left[e] != INVALID) {
2277 2269
	    _parent.set(_left[e], _parent[e]);
2278 2270
	  }
2279 2271
	  
2280 2272
	  _left.set(e, _left[arc]);
2281 2273
	  _parent.set(_left[arc], e);
2282 2274
	  _right.set(e, _right[arc]);
2283 2275
	  _parent.set(_right[arc], e);
2284 2276

	
2285 2277
	  _parent.set(e, _parent[arc]);
2286 2278
	  if (_parent[arc] != INVALID) {
2287 2279
	    if (_left[_parent[arc]] == arc) {
2288 2280
	      _left.set(_parent[arc], e);
2289 2281
	    } else {
2290 2282
	      _right.set(_parent[arc], e);
2291 2283
	    }
... ...
@@ -2348,420 +2340,420 @@
2348 2340
      _parent.set(v, _parent[w]);
2349 2341
      _parent.set(w, v);
2350 2342
      _left.set(w, _right[v]);
2351 2343
      _right.set(v, w);
2352 2344
      if (_parent[v] != INVALID) {
2353 2345
	if (_right[_parent[v]] == w) {
2354 2346
	  _right.set(_parent[v], v);
2355 2347
	} else {
2356 2348
	  _left.set(_parent[v], v);
2357 2349
	}
2358 2350
      }
2359 2351
      if (_left[w] != INVALID){
2360 2352
	_parent.set(_left[w], w);
2361 2353
      }
2362 2354
    }
2363 2355

	
2364 2356
    void zag(Arc v) {        
2365 2357
      Arc w = _parent[v];
2366 2358
      _parent.set(v, _parent[w]);
2367 2359
      _parent.set(w, v);
2368 2360
      _right.set(w, _left[v]);
2369 2361
      _left.set(v, w);
2370 2362
      if (_parent[v] != INVALID){
2371 2363
	if (_left[_parent[v]] == w) {
2372 2364
	  _left.set(_parent[v], v);
2373 2365
	} else {
2374 2366
	  _right.set(_parent[v], v);
2375 2367
	}
2376 2368
      }
2377 2369
      if (_right[w] != INVALID){
2378 2370
	_parent.set(_right[w], w);
2379 2371
      }
2380 2372
    }
2381 2373

	
2382 2374
    void splay(Arc v) {
2383 2375
      while (_parent[v] != INVALID) {
2384 2376
	if (v == _left[_parent[v]]) {
2385 2377
	  if (_parent[_parent[v]] == INVALID) {
2386 2378
	    zig(v);
2387 2379
	  } else {
2388 2380
	    if (_parent[v] == _left[_parent[_parent[v]]]) {
2389 2381
	      zig(_parent[v]);
2390 2382
	      zig(v);
2391 2383
	    } else {
2392 2384
	      zig(v);
2393 2385
	      zag(v);
2394 2386
	    }
2395 2387
	  }
2396 2388
	} else {
2397 2389
	  if (_parent[_parent[v]] == INVALID) {
2398 2390
	    zag(v);
2399 2391
	  } else {
2400 2392
	    if (_parent[v] == _left[_parent[_parent[v]]]) {
2401 2393
	      zag(v);
2402 2394
	      zig(v);
2403 2395
	    } else {
2404 2396
	      zag(_parent[v]);
2405 2397
	      zag(v);
2406 2398
	    }
2407 2399
	  }
2408 2400
	}
2409 2401
      }
2410 2402
      _head[_g.source(v)] = v;
2411 2403
    }
2412 2404

	
2413 2405

	
2414 2406
  public:
2415 2407
    
2416 2408
    ///Find an arc between two nodes.
2417 2409
    
2418 2410
    ///Find an arc between two nodes in time <em>O(</em>log<em>d)</em>, where
2419 2411
    /// <em>d</em> is the number of outgoing arcs of \c s.
2420 2412
    ///\param s The source node
2421 2413
    ///\param t The target node
2422 2414
    ///\return An arc from \c s to \c t if there exists,
2423 2415
    ///\ref INVALID otherwise.
2424 2416
    Arc operator()(Node s, Node t) const
2425 2417
    {
2426 2418
      Arc a = _head[s];
2427 2419
      while (true) {
2428 2420
	if (_g.target(a) == t) {
2429 2421
	  const_cast<DynArcLookUp&>(*this).splay(a);
2430 2422
	  return a;
2431 2423
	} else if (t < _g.target(a)) {
2432 2424
	  if (_left[a] == INVALID) {
2433 2425
	    const_cast<DynArcLookUp&>(*this).splay(a);
2434 2426
	    return INVALID;
2435 2427
	  } else {
2436 2428
	    a = _left[a];
2437 2429
	  }
2438 2430
	} else  {
2439 2431
	  if (_right[a] == INVALID) {
2440 2432
	    const_cast<DynArcLookUp&>(*this).splay(a);
2441 2433
	    return INVALID;
2442 2434
	  } else {
2443 2435
	    a = _right[a];
2444 2436
	  }
2445 2437
	}
2446 2438
      }
2447 2439
    }
2448 2440

	
2449 2441
    ///Find the first arc between two nodes.
2450 2442
    
2451 2443
    ///Find the first arc between two nodes in time
2452 2444
    /// <em>O(</em>log<em>d)</em>, where <em>d</em> is the number of
2453 2445
    /// outgoing arcs of \c s.  
2454 2446
    ///\param s The source node 
2455 2447
    ///\param t The target node
2456 2448
    ///\return An arc from \c s to \c t if there exists, \ref INVALID
2457 2449
    /// otherwise.
2458 2450
    Arc findFirst(Node s, Node t) const
2459 2451
    {
2460 2452
      Arc a = _head[s];
2461 2453
      Arc r = INVALID;
2462 2454
      while (true) {
2463 2455
	if (_g.target(a) < t) {
2464 2456
	  if (_right[a] == INVALID) {
2465 2457
	    const_cast<DynArcLookUp&>(*this).splay(a);
2466 2458
	    return r;
2467 2459
	  } else {
2468 2460
	    a = _right[a];
2469 2461
	  }
2470 2462
	} else {
2471 2463
	  if (_g.target(a) == t) {
2472 2464
	    r = a;
2473 2465
	  }
2474 2466
	  if (_left[a] == INVALID) {
2475 2467
	    const_cast<DynArcLookUp&>(*this).splay(a);
2476 2468
	    return r;
2477 2469
	  } else {
2478 2470
	    a = _left[a];
2479 2471
	  }
2480 2472
	}
2481 2473
      }
2482 2474
    }
2483 2475

	
2484 2476
    ///Find the next arc between two nodes.
2485 2477
    
2486 2478
    ///Find the next arc between two nodes in time
2487 2479
    /// <em>O(</em>log<em>d)</em>, where <em>d</em> is the number of
2488 2480
    /// outgoing arcs of \c s.  
2489 2481
    ///\param s The source node 
2490 2482
    ///\param t The target node
2491 2483
    ///\return An arc from \c s to \c t if there exists, \ref INVALID
2492 2484
    /// otherwise.
2493 2485

	
2494 2486
    ///\note If \c e is not the result of the previous \c findFirst()
2495 2487
    ///operation then the amorized time bound can not be guaranteed.
2496 2488
#ifdef DOXYGEN
2497 2489
    Arc findNext(Node s, Node t, Arc a) const
2498 2490
#else
2499 2491
    Arc findNext(Node, Node t, Arc a) const
2500 2492
#endif
2501 2493
    {
2502 2494
      if (_right[a] != INVALID) {
2503 2495
	a = _right[a];
2504 2496
	while (_left[a] != INVALID) {
2505 2497
	  a = _left[a];
2506 2498
	}
2507 2499
	const_cast<DynArcLookUp&>(*this).splay(a);
2508 2500
      } else {
2509 2501
	while (_parent[a] != INVALID && _right[_parent[a]] ==  a) {
2510 2502
	  a = _parent[a];
2511 2503
	}
2512 2504
	if (_parent[a] == INVALID) {
2513 2505
	  return INVALID;
2514 2506
	} else {
2515 2507
	  a = _parent[a];
2516 2508
	  const_cast<DynArcLookUp&>(*this).splay(a);
2517 2509
	}
2518 2510
      }
2519 2511
      if (_g.target(a) == t) return a;
2520 2512
      else return INVALID;    
2521 2513
    }
2522 2514

	
2523 2515
  };
2524 2516

	
2525 2517
  ///Fast arc look up between given endpoints.
2526 2518
  
2527 2519
  ///\ingroup gutils
2528 2520
  ///Using this class, you can find an arc in a digraph from a given
2529 2521
  ///source to a given target in time <em>O(log d)</em>,
2530 2522
  ///where <em>d</em> is the out-degree of the source node.
2531 2523
  ///
2532 2524
  ///It is not possible to find \e all parallel arcs between two nodes.
2533 2525
  ///Use \ref AllArcLookUp for this purpose.
2534 2526
  ///
2535 2527
  ///\warning This class is static, so you should refresh() (or at least
2536 2528
  ///refresh(Node)) this data structure
2537 2529
  ///whenever the digraph changes. This is a time consuming (superlinearly
2538 2530
  ///proportional (<em>O(m</em>log<em>m)</em>) to the number of arcs).
2539 2531
  ///
2540
  ///\param G The type of the underlying digraph.
2532
  ///\tparam G The type of the underlying digraph.
2541 2533
  ///
2542 2534
  ///\sa DynArcLookUp
2543 2535
  ///\sa AllArcLookUp  
2544 2536
  template<class G>
2545 2537
  class ArcLookUp 
2546 2538
  {
2547 2539
  public:
2548 2540
    TEMPLATE_DIGRAPH_TYPEDEFS(G);
2549 2541
    typedef G Digraph;
2550 2542

	
2551 2543
  protected:
2552 2544
    const Digraph &_g;
2553 2545
    typename Digraph::template NodeMap<Arc> _head;
2554 2546
    typename Digraph::template ArcMap<Arc> _left;
2555 2547
    typename Digraph::template ArcMap<Arc> _right;
2556 2548
    
2557 2549
    class ArcLess {
2558 2550
      const Digraph &g;
2559 2551
    public:
2560 2552
      ArcLess(const Digraph &_g) : g(_g) {}
2561 2553
      bool operator()(Arc a,Arc b) const 
2562 2554
      {
2563 2555
	return g.target(a)<g.target(b);
2564 2556
      }
2565 2557
    };
2566 2558
    
2567 2559
  public:
2568 2560
    
2569 2561
    ///Constructor
2570 2562

	
2571 2563
    ///Constructor.
2572 2564
    ///
2573 2565
    ///It builds up the search database, which remains valid until the digraph
2574 2566
    ///changes.
2575 2567
    ArcLookUp(const Digraph &g) :_g(g),_head(g),_left(g),_right(g) {refresh();}
2576 2568
    
2577 2569
  private:
2578 2570
    Arc refreshRec(std::vector<Arc> &v,int a,int b) 
2579 2571
    {
2580 2572
      int m=(a+b)/2;
2581 2573
      Arc me=v[m];
2582 2574
      _left[me] = a<m?refreshRec(v,a,m-1):INVALID;
2583 2575
      _right[me] = m<b?refreshRec(v,m+1,b):INVALID;
2584 2576
      return me;
2585 2577
    }
2586 2578
  public:
2587 2579
    ///Refresh the data structure at a node.
2588 2580

	
2589 2581
    ///Build up the search database of node \c n.
2590 2582
    ///
2591 2583
    ///It runs in time <em>O(d</em>log<em>d)</em>, where <em>d</em> is
2592 2584
    ///the number of the outgoing arcs of \c n.
2593 2585
    void refresh(Node n) 
2594 2586
    {
2595 2587
      std::vector<Arc> v;
2596 2588
      for(OutArcIt e(_g,n);e!=INVALID;++e) v.push_back(e);
2597 2589
      if(v.size()) {
2598 2590
	std::sort(v.begin(),v.end(),ArcLess(_g));
2599 2591
	_head[n]=refreshRec(v,0,v.size()-1);
2600 2592
      }
2601 2593
      else _head[n]=INVALID;
2602 2594
    }
2603 2595
    ///Refresh the full data structure.
2604 2596

	
2605 2597
    ///Build up the full search database. In fact, it simply calls
2606 2598
    ///\ref refresh(Node) "refresh(n)" for each node \c n.
2607 2599
    ///
2608 2600
    ///It runs in time <em>O(m</em>log<em>D)</em>, where <em>m</em> is
2609 2601
    ///the number of the arcs of \c n and <em>D</em> is the maximum
2610 2602
    ///out-degree of the digraph.
2611 2603

	
2612 2604
    void refresh() 
2613 2605
    {
2614 2606
      for(NodeIt n(_g);n!=INVALID;++n) refresh(n);
2615 2607
    }
2616 2608
    
2617 2609
    ///Find an arc between two nodes.
2618 2610
    
2619 2611
    ///Find an arc between two nodes in time <em>O(</em>log<em>d)</em>, where
2620 2612
    /// <em>d</em> is the number of outgoing arcs of \c s.
2621 2613
    ///\param s The source node
2622 2614
    ///\param t The target node
2623 2615
    ///\return An arc from \c s to \c t if there exists,
2624 2616
    ///\ref INVALID otherwise.
2625 2617
    ///
2626 2618
    ///\warning If you change the digraph, refresh() must be called before using
2627 2619
    ///this operator. If you change the outgoing arcs of
2628 2620
    ///a single node \c n, then
2629 2621
    ///\ref refresh(Node) "refresh(n)" is enough.
2630 2622
    ///
2631 2623
    Arc operator()(Node s, Node t) const
2632 2624
    {
2633 2625
      Arc e;
2634 2626
      for(e=_head[s];
2635 2627
	  e!=INVALID&&_g.target(e)!=t;
2636 2628
	  e = t < _g.target(e)?_left[e]:_right[e]) ;
2637 2629
      return e;
2638 2630
    }
2639 2631

	
2640 2632
  };
2641 2633

	
2642 2634
  ///Fast look up of all arcs between given endpoints.
2643 2635
  
2644 2636
  ///\ingroup gutils
2645 2637
  ///This class is the same as \ref ArcLookUp, with the addition
2646 2638
  ///that it makes it possible to find all arcs between given endpoints.
2647 2639
  ///
2648 2640
  ///\warning This class is static, so you should refresh() (or at least
2649 2641
  ///refresh(Node)) this data structure
2650 2642
  ///whenever the digraph changes. This is a time consuming (superlinearly
2651 2643
  ///proportional (<em>O(m</em>log<em>m)</em>) to the number of arcs).
2652 2644
  ///
2653
  ///\param G The type of the underlying digraph.
2645
  ///\tparam G The type of the underlying digraph.
2654 2646
  ///
2655 2647
  ///\sa DynArcLookUp
2656 2648
  ///\sa ArcLookUp  
2657 2649
  template<class G>
2658 2650
  class AllArcLookUp : public ArcLookUp<G>
2659 2651
  {
2660 2652
    using ArcLookUp<G>::_g;
2661 2653
    using ArcLookUp<G>::_right;
2662 2654
    using ArcLookUp<G>::_left;
2663 2655
    using ArcLookUp<G>::_head;
2664 2656

	
2665 2657
    TEMPLATE_DIGRAPH_TYPEDEFS(G);
2666 2658
    typedef G Digraph;
2667 2659
    
2668 2660
    typename Digraph::template ArcMap<Arc> _next;
2669 2661
    
2670 2662
    Arc refreshNext(Arc head,Arc next=INVALID)
2671 2663
    {
2672 2664
      if(head==INVALID) return next;
2673 2665
      else {
2674 2666
	next=refreshNext(_right[head],next);
2675 2667
// 	_next[head]=next;
2676 2668
	_next[head]=( next!=INVALID && _g.target(next)==_g.target(head))
2677 2669
	  ? next : INVALID;
2678 2670
	return refreshNext(_left[head],head);
2679 2671
      }
2680 2672
    }
2681 2673
    
2682 2674
    void refreshNext()
2683 2675
    {
2684 2676
      for(NodeIt n(_g);n!=INVALID;++n) refreshNext(_head[n]);
2685 2677
    }
2686 2678
    
2687 2679
  public:
2688 2680
    ///Constructor
2689 2681

	
2690 2682
    ///Constructor.
2691 2683
    ///
2692 2684
    ///It builds up the search database, which remains valid until the digraph
2693 2685
    ///changes.
2694 2686
    AllArcLookUp(const Digraph &g) : ArcLookUp<G>(g), _next(g) {refreshNext();}
2695 2687

	
2696 2688
    ///Refresh the data structure at a node.
2697 2689

	
2698 2690
    ///Build up the search database of node \c n.
2699 2691
    ///
2700 2692
    ///It runs in time <em>O(d</em>log<em>d)</em>, where <em>d</em> is
2701 2693
    ///the number of the outgoing arcs of \c n.
2702 2694
    
2703 2695
    void refresh(Node n) 
2704 2696
    {
2705 2697
      ArcLookUp<G>::refresh(n);
2706 2698
      refreshNext(_head[n]);
2707 2699
    }
2708 2700
    
2709 2701
    ///Refresh the full data structure.
2710 2702

	
2711 2703
    ///Build up the full search database. In fact, it simply calls
2712 2704
    ///\ref refresh(Node) "refresh(n)" for each node \c n.
2713 2705
    ///
2714 2706
    ///It runs in time <em>O(m</em>log<em>D)</em>, where <em>m</em> is
2715 2707
    ///the number of the arcs of \c n and <em>D</em> is the maximum
2716 2708
    ///out-degree of the digraph.
2717 2709

	
2718 2710
    void refresh() 
2719 2711
    {
2720 2712
      for(NodeIt n(_g);n!=INVALID;++n) refresh(_head[n]);
2721 2713
    }
2722 2714
    
2723 2715
    ///Find an arc between two nodes.
2724 2716
    
2725 2717
    ///Find an arc between two nodes.
2726 2718
    ///\param s The source node
2727 2719
    ///\param t The target node
2728 2720
    ///\param prev The previous arc between \c s and \c t. It it is INVALID or
2729 2721
    ///not given, the operator finds the first appropriate arc.
2730 2722
    ///\return An arc from \c s to \c t after \c prev or
2731 2723
    ///\ref INVALID if there is no more.
2732 2724
    ///
2733 2725
    ///For example, you can count the number of arcs from \c u to \c v in the
2734 2726
    ///following way.
2735 2727
    ///\code
2736 2728
    ///AllArcLookUp<ListDigraph> ae(g);
2737 2729
    ///...
2738 2730
    ///int n=0;
2739 2731
    ///for(Arc e=ae(u,v);e!=INVALID;e=ae(u,v,e)) n++;
2740 2732
    ///\endcode
2741 2733
    ///
2742 2734
    ///Finding the first arc take <em>O(</em>log<em>d)</em> time, where
2743 2735
    /// <em>d</em> is the number of outgoing arcs of \c s. Then, the
2744 2736
    ///consecutive arcs are found in constant time.
2745 2737
    ///
2746 2738
    ///\warning If you change the digraph, refresh() must be called before using
2747 2739
    ///this operator. If you change the outgoing arcs of
2748 2740
    ///a single node \c n, then
2749 2741
    ///\ref refresh(Node) "refresh(n)" is enough.
2750 2742
    ///
2751 2743
#ifdef DOXYGEN
2752 2744
    Arc operator()(Node s, Node t, Arc prev=INVALID) const {}
2753 2745
#else
2754 2746
    using ArcLookUp<G>::operator() ;
2755 2747
    Arc operator()(Node s, Node t, Arc prev) const
2756 2748
    {
2757 2749
      return prev==INVALID?(*this)(s,t):_next[prev];
2758 2750
    }
2759 2751
#endif
2760 2752
      
2761 2753
  };
2762 2754

	
2763 2755
  /// @}
2764 2756

	
2765 2757
} //END OF NAMESPACE LEMON
2766 2758

	
2767 2759
#endif
Ignore white space 6 line context
1 1
/* -*- C++ -*-
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
///\ingroup paths
20 20
///\file
21 21
///\brief Classes for representing paths in digraphs.
22 22
///
23 23

	
24 24
#ifndef LEMON_PATH_H
25 25
#define LEMON_PATH_H
26 26

	
27 27
#include <vector>
28 28
#include <algorithm>
29 29

	
30 30
#include <lemon/error.h>
31 31
#include <lemon/bits/invalid.h>
32 32
#include <lemon/concepts/path.h>
33 33

	
34 34
namespace lemon {
35 35

	
36 36
  /// \addtogroup paths
37 37
  /// @{
38 38

	
39 39

	
40 40
  /// \brief A structure for representing directed paths in a digraph.
41 41
  ///
42 42
  /// A structure for representing directed path in a digraph.
43
  /// \param Digraph The digraph type in which the path is.
43
  /// \tparam _Digraph The digraph type in which the path is.
44 44
  ///
45 45
  /// In a sense, the path can be treated as a list of arcs. The
46 46
  /// lemon path type stores just this list. As a consequence, it
47 47
  /// cannot enumerate the nodes of the path and the source node of
48 48
  /// a zero length path is undefined.
49 49
  ///
50 50
  /// This implementation is a back and front insertable and erasable
51 51
  /// path type. It can be indexed in O(1) time. The front and back
52 52
  /// insertion and erase is done in O(1) (amortized) time. The
53 53
  /// implementation uses two vectors for storing the front and back
54 54
  /// insertions.
55 55
  template <typename _Digraph>
56 56
  class Path {
57 57
  public:
58 58

	
59 59
    typedef _Digraph Digraph;
60 60
    typedef typename Digraph::Arc Arc;
61 61

	
62 62
    /// \brief Default constructor
63 63
    ///
64 64
    /// Default constructor
65 65
    Path() {}
66 66

	
67 67
    /// \brief Template copy constructor
68 68
    ///
69 69
    /// This constuctor initializes the path from any other path type.
70 70
    /// It simply makes a copy of the given path.
71 71
    template <typename CPath>
72 72
    Path(const CPath& cpath) {
73 73
      copyPath(*this, cpath);
74 74
    }
75 75

	
76 76
    /// \brief Template copy assignment
77 77
    ///
78 78
    /// This operator makes a copy of a path of any other type.
79 79
    template <typename CPath>
80 80
    Path& operator=(const CPath& cpath) {
81 81
      copyPath(*this, cpath);
82 82
      return *this;
83 83
    }
84 84

	
85 85
    /// \brief Lemon style iterator for path arcs
86 86
    ///
87 87
    /// This class is used to iterate on the arcs of the paths.
88 88
    class ArcIt {
89 89
      friend class Path;
90 90
    public:
91 91
      /// \brief Default constructor
92 92
      ArcIt() {}
93 93
      /// \brief Invalid constructor
94 94
      ArcIt(Invalid) : path(0), idx(-1) {}
95 95
      /// \brief Initializate the iterator to the first arc of path
96 96
      ArcIt(const Path &_path) 
97 97
        : path(&_path), idx(_path.empty() ? -1 : 0) {}
98 98

	
99 99
    private:
100 100

	
101 101
      ArcIt(const Path &_path, int _idx) 
102 102
        : path(&_path), idx(_idx) {}
103 103

	
104 104
    public:
105 105

	
106 106
      /// \brief Conversion to Arc
107 107
      operator const Arc&() const {
108 108
        return path->nth(idx);
109 109
      }
110 110

	
111 111
      /// \brief Next arc
112 112
      ArcIt& operator++() { 
113 113
        ++idx;
114 114
        if (idx >= path->length()) idx = -1; 
115 115
        return *this; 
116 116
      }
117 117

	
118 118
      /// \brief Comparison operator
119 119
      bool operator==(const ArcIt& e) const { return idx==e.idx; }
120 120
      /// \brief Comparison operator
121 121
      bool operator!=(const ArcIt& e) const { return idx!=e.idx; }
122 122
      /// \brief Comparison operator
123 123
      bool operator<(const ArcIt& e) const { return idx<e.idx; }
124 124

	
125 125
    private:
126 126
      const Path *path;
127 127
      int idx;
128 128
    };
129 129

	
130 130
    /// \brief Length of the path.
131 131
    int length() const { return head.size() + tail.size(); }
132 132
    /// \brief Return whether the path is empty.
133 133
    bool empty() const { return head.empty() && tail.empty(); }
134 134

	
135 135
    /// \brief Reset the path to an empty one.
136 136
    void clear() { head.clear(); tail.clear(); }
137 137

	
138 138
    /// \brief The nth arc.
139 139
    ///
140 140
    /// \pre n is in the [0..length() - 1] range
141 141
    const Arc& nth(int n) const {
142 142
      return n < int(head.size()) ? *(head.rbegin() + n) :
143 143
        *(tail.begin() + (n - head.size()));
144 144
    }
145 145

	
146 146
    /// \brief Initialize arc iterator to point to the nth arc
147 147
    ///
148 148
    /// \pre n is in the [0..length() - 1] range
149 149
    ArcIt nthIt(int n) const {
150 150
      return ArcIt(*this, n);
151 151
    }
152 152

	
153 153
    /// \brief The first arc of the path
154 154
    const Arc& front() const {
155 155
      return head.empty() ? tail.front() : head.back();
156 156
    }
157 157

	
158 158
    /// \brief Add a new arc before the current path
159 159
    void addFront(const Arc& arc) {
160 160
      head.push_back(arc);
161 161
    }
162 162

	
163 163
    /// \brief Erase the first arc of the path
164 164
    void eraseFront() {
165 165
      if (!head.empty()) {
166 166
        head.pop_back();
167 167
      } else {
168 168
        head.clear();
169 169
        int halfsize = tail.size() / 2;
170 170
        head.resize(halfsize);
171 171
        std::copy(tail.begin() + 1, tail.begin() + halfsize + 1,
172 172
                  head.rbegin());
173 173
        std::copy(tail.begin() + halfsize + 1, tail.end(), tail.begin());
174 174
        tail.resize(tail.size() - halfsize - 1);
175 175
      }
176 176
    }
177 177

	
178 178
    /// \brief The last arc of the path
179 179
    const Arc& back() const {
180 180
      return tail.empty() ? head.front() : tail.back();
181 181
    }
182 182

	
183 183
    /// \brief Add a new arc behind the current path
184 184
    void addBack(const Arc& arc) {
185 185
      tail.push_back(arc);
186 186
    }
187 187

	
188 188
    /// \brief Erase the last arc of the path
189 189
    void eraseBack() {
190 190
      if (!tail.empty()) {
191 191
        tail.pop_back();
192 192
      } else {
193 193
        int halfsize = head.size() / 2;
194 194
        tail.resize(halfsize);
195 195
        std::copy(head.begin() + 1, head.begin() + halfsize + 1,
196 196
                  tail.rbegin());
197 197
        std::copy(head.begin() + halfsize + 1, head.end(), head.begin());
198 198
        head.resize(head.size() - halfsize - 1);
199 199
      }
200 200
    }
201 201

	
202 202
    typedef True BuildTag;
203 203

	
204 204
    template <typename CPath>
205 205
    void build(const CPath& path) {
206 206
      int len = path.length();
207 207
      tail.reserve(len);
208 208
      for (typename CPath::ArcIt it(path); it != INVALID; ++it) {
209 209
        tail.push_back(it);
210 210
      }
211 211
    }
212 212

	
213 213
    template <typename CPath>
214 214
    void buildRev(const CPath& path) {
215 215
      int len = path.length();
216 216
      head.reserve(len);
217 217
      for (typename CPath::RevArcIt it(path); it != INVALID; ++it) {
218 218
        head.push_back(it);
219 219
      }
220 220
    }
221 221

	
222 222
  protected:
223 223
    typedef std::vector<Arc> Container;
224 224
    Container head, tail;
225 225

	
226 226
  };
227 227

	
228 228
  /// \brief A structure for representing directed paths in a digraph.
229 229
  ///
230 230
  /// A structure for representing directed path in a digraph.
231
  /// \param Digraph The digraph type in which the path is.
231
  /// \tparam _Digraph The digraph type in which the path is.
232 232
  ///
233 233
  /// In a sense, the path can be treated as a list of arcs. The
234 234
  /// lemon path type stores just this list. As a consequence it
235 235
  /// cannot enumerate the nodes in the path and the zero length paths
236 236
  /// cannot store the source.
237 237
  ///
238 238
  /// This implementation is a just back insertable and erasable path
239 239
  /// type. It can be indexed in O(1) time. The back insertion and
240 240
  /// erasure is amortized O(1) time. This implementation is faster
241 241
  /// then the \c Path type because it use just one vector for the
242 242
  /// arcs.
243 243
  template <typename _Digraph>
244 244
  class SimplePath {
245 245
  public:
246 246

	
247 247
    typedef _Digraph Digraph;
248 248
    typedef typename Digraph::Arc Arc;
249 249

	
250 250
    /// \brief Default constructor
251 251
    ///
252 252
    /// Default constructor
253 253
    SimplePath() {}
254 254

	
255 255
    /// \brief Template copy constructor
256 256
    ///
257 257
    /// This path can be initialized with any other path type. It just
258 258
    /// makes a copy of the given path.
259 259
    template <typename CPath>
260 260
    SimplePath(const CPath& cpath) {
261 261
      copyPath(*this, cpath);
262 262
    }
263 263

	
264 264
    /// \brief Template copy assignment
265 265
    ///
266 266
    /// This path can be initialized with any other path type. It just
267 267
    /// makes a copy of the given path.
268 268
    template <typename CPath>
269 269
    SimplePath& operator=(const CPath& cpath) {
270 270
      copyPath(*this, cpath);
271 271
      return *this;
272 272
    }
273 273

	
274 274
    /// \brief Iterator class to iterate on the arcs of the paths
275 275
    ///
276 276
    /// This class is used to iterate on the arcs of the paths
277 277
    ///
278 278
    /// Of course it converts to Digraph::Arc
279 279
    class ArcIt {
280 280
      friend class SimplePath;
281 281
    public:
282 282
      /// Default constructor
283 283
      ArcIt() {}
284 284
      /// Invalid constructor
285 285
      ArcIt(Invalid) : path(0), idx(-1) {}
286 286
      /// \brief Initializate the constructor to the first arc of path
287 287
      ArcIt(const SimplePath &_path) 
288 288
        : path(&_path), idx(_path.empty() ? -1 : 0) {}
289 289

	
290 290
    private:
291 291

	
292 292
      /// Constructor with starting point
293 293
      ArcIt(const SimplePath &_path, int _idx) 
294 294
        : idx(_idx), path(&_path) {}
295 295

	
296 296
    public:
297 297

	
298 298
      ///Conversion to Digraph::Arc
299 299
      operator const Arc&() const {
300 300
        return path->nth(idx);
301 301
      }
302 302

	
303 303
      /// Next arc
304 304
      ArcIt& operator++() { 
305 305
        ++idx;
306 306
        if (idx >= path->length()) idx = -1; 
307 307
        return *this; 
308 308
      }
309 309

	
310 310
      /// Comparison operator
311 311
      bool operator==(const ArcIt& e) const { return idx==e.idx; }
312 312
      /// Comparison operator
313 313
      bool operator!=(const ArcIt& e) const { return idx!=e.idx; }
314 314
      /// Comparison operator
315 315
      bool operator<(const ArcIt& e) const { return idx<e.idx; }
316 316

	
317 317
    private:
318 318
      const SimplePath *path;
319 319
      int idx;
320 320
    };
321 321

	
322 322
    /// \brief Length of the path.
323 323
    int length() const { return data.size(); }
324 324
    /// \brief Return true if the path is empty.
325 325
    bool empty() const { return data.empty(); }
326 326

	
327 327
    /// \brief Reset the path to an empty one.
328 328
    void clear() { data.clear(); }
329 329

	
330 330
    /// \brief The nth arc.
331 331
    ///
332 332
    /// \pre n is in the [0..length() - 1] range
333 333
    const Arc& nth(int n) const {
334 334
      return data[n];
335 335
    }
336 336

	
337 337
    /// \brief  Initializes arc iterator to point to the nth arc.
338 338
    ArcIt nthIt(int n) const {
339 339
      return ArcIt(*this, n);
340 340
    }
341 341

	
342 342
    /// \brief The first arc of the path.
343 343
    const Arc& front() const {
344 344
      return data.front();
345 345
    }
346 346

	
347 347
    /// \brief The last arc of the path.
348 348
    const Arc& back() const {
349 349
      return data.back();
350 350
    }
351 351

	
352 352
    /// \brief Add a new arc behind the current path.
353 353
    void addBack(const Arc& arc) {
354 354
      data.push_back(arc);
355 355
    }
356 356

	
357 357
    /// \brief Erase the last arc of the path
358 358
    void eraseBack() {
359 359
      data.pop_back();
360 360
    }
361 361

	
362 362
    typedef True BuildTag;
363 363

	
364 364
    template <typename CPath>
365 365
    void build(const CPath& path) {
366 366
      int len = path.length();
367 367
      data.resize(len);
368 368
      int index = 0;
369 369
      for (typename CPath::ArcIt it(path); it != INVALID; ++it) {
370 370
        data[index] = it;;
371 371
        ++index;
372 372
      }
373 373
    }
374 374

	
375 375
    template <typename CPath>
376 376
    void buildRev(const CPath& path) {
377 377
      int len = path.length();
378 378
      data.resize(len);
379 379
      int index = len;
380 380
      for (typename CPath::RevArcIt it(path); it != INVALID; ++it) {
381 381
        --index;
382 382
        data[index] = it;;
383 383
      }
384 384
    }
385 385

	
386 386
  protected:
387 387
    typedef std::vector<Arc> Container;
388 388
    Container data;
389 389

	
390 390
  };
391 391

	
392 392
  /// \brief A structure for representing directed paths in a digraph.
393 393
  ///
394 394
  /// A structure for representing directed path in a digraph.
395
  /// \param Digraph The digraph type in which the path is.
395
  /// \tparam _Digraph The digraph type in which the path is.
396 396
  ///
397 397
  /// In a sense, the path can be treated as a list of arcs. The
398 398
  /// lemon path type stores just this list. As a consequence it
399 399
  /// cannot enumerate the nodes in the path and the zero length paths
400 400
  /// cannot store the source.
401 401
  ///
402 402
  /// This implementation is a back and front insertable and erasable
403 403
  /// path type. It can be indexed in O(k) time, where k is the rank
404 404
  /// of the arc in the path. The length can be computed in O(n)
405 405
  /// time. The front and back insertion and erasure is O(1) time
406 406
  /// and it can be splited and spliced in O(1) time.
407 407
  template <typename _Digraph>
408 408
  class ListPath {
409 409
  public:
410 410

	
411 411
    typedef _Digraph Digraph;
412 412
    typedef typename Digraph::Arc Arc;
413 413

	
414 414
  protected:
415 415

	
416 416
    // the std::list<> is incompatible 
417 417
    // hard to create invalid iterator
418 418
    struct Node {
419 419
      Arc arc;
420 420
      Node *next, *prev;
421 421
    };
422 422

	
423 423
    Node *first, *last;
424 424

	
425 425
    std::allocator<Node> alloc;
426 426

	
427 427
  public:
428 428
 
429 429
    /// \brief Default constructor
430 430
    ///
431 431
    /// Default constructor
432 432
    ListPath() : first(0), last(0) {}
433 433

	
434 434
    /// \brief Template copy constructor
435 435
    ///
436 436
    /// This path can be initialized with any other path type. It just
437 437
    /// makes a copy of the given path.
438 438
    template <typename CPath>
439 439
    ListPath(const CPath& cpath) : first(0), last(0) {
440 440
      copyPath(*this, cpath);
441 441
    }
442 442

	
443 443
    /// \brief Destructor of the path
444 444
    ///
445 445
    /// Destructor of the path
446 446
    ~ListPath() {
447 447
      clear();
448 448
    }
449 449

	
450 450
    /// \brief Template copy assignment
451 451
    ///
452 452
    /// This path can be initialized with any other path type. It just
453 453
    /// makes a copy of the given path.
454 454
    template <typename CPath>
455 455
    ListPath& operator=(const CPath& cpath) {
456 456
      copyPath(*this, cpath);
457 457
      return *this;
458 458
    }
459 459

	
460 460
    /// \brief Iterator class to iterate on the arcs of the paths
461 461
    ///
462 462
    /// This class is used to iterate on the arcs of the paths
463 463
    ///
464 464
    /// Of course it converts to Digraph::Arc
465 465
    class ArcIt {
466 466
      friend class ListPath;
467 467
    public:
468 468
      /// Default constructor
469 469
      ArcIt() {}
470 470
      /// Invalid constructor
471 471
      ArcIt(Invalid) : path(0), node(0) {}
472 472
      /// \brief Initializate the constructor to the first arc of path
473 473
      ArcIt(const ListPath &_path) 
474 474
        : path(&_path), node(_path.first) {}
475 475

	
476 476
    protected:
477 477

	
478 478
      ArcIt(const ListPath &_path, Node *_node) 
479 479
        : path(&_path), node(_node) {}
480 480

	
481 481

	
482 482
    public:
483 483

	
484 484
      ///Conversion to Digraph::Arc
485 485
      operator const Arc&() const {
486 486
        return node->arc;
487 487
      }
488 488

	
489 489
      /// Next arc
490 490
      ArcIt& operator++() { 
491 491
        node = node->next;
492 492
        return *this; 
493 493
      }
494 494

	
495 495
      /// Comparison operator
496 496
      bool operator==(const ArcIt& e) const { return node==e.node; }
497 497
      /// Comparison operator
498 498
      bool operator!=(const ArcIt& e) const { return node!=e.node; }
499 499
      /// Comparison operator
500 500
      bool operator<(const ArcIt& e) const { return node<e.node; }
501 501

	
502 502
    private:
503 503
      const ListPath *path;
504 504
      Node *node;
505 505
    };
506 506

	
507 507
    /// \brief The nth arc.
508 508
    ///
509 509
    /// This function looks for the nth arc in O(n) time.
510 510
    /// \pre n is in the [0..length() - 1] range
511 511
    const Arc& nth(int n) const {
512 512
      Node *node = first;
513 513
      for (int i = 0; i < n; ++i) {
514 514
        node = node->next;
515 515
      }
516 516
      return node->arc;
517 517
    }
518 518

	
519 519
    /// \brief Initializes arc iterator to point to the nth arc.
520 520
    ArcIt nthIt(int n) const {
521 521
      Node *node = first;
522 522
      for (int i = 0; i < n; ++i) {
523 523
        node = node->next;
524 524
      }
525 525
      return ArcIt(*this, node);
526 526
    }
527 527

	
528 528
    /// \brief Length of the path.
529 529
    int length() const {
530 530
      int len = 0;
531 531
      Node *node = first;
532 532
      while (node != 0) {
533 533
        node = node->next;
534 534
        ++len;
535 535
      }
536 536
      return len;
537 537
    }
538 538

	
539 539
    /// \brief Return true if the path is empty.
540 540
    bool empty() const { return first == 0; }
541 541

	
542 542
    /// \brief Reset the path to an empty one.
543 543
    void clear() {
544 544
      while (first != 0) {
545 545
        last = first->next;
546 546
        alloc.destroy(first);
547 547
        alloc.deallocate(first, 1);
548 548
        first = last;
549 549
      }
550 550
    }
551 551

	
552 552
    /// \brief The first arc of the path
553 553
    const Arc& front() const {
554 554
      return first->arc;
555 555
    }
556 556

	
557 557
    /// \brief Add a new arc before the current path
558 558
    void addFront(const Arc& arc) {
559 559
      Node *node = alloc.allocate(1);
560 560
      alloc.construct(node, Node());
561 561
      node->prev = 0;
562 562
      node->next = first;
563 563
      node->arc = arc;
564 564
      if (first) {
565 565
        first->prev = node;
566 566
        first = node;
567 567
      } else {
568 568
        first = last = node;
569 569
      }
570 570
    }
571 571

	
572 572
    /// \brief Erase the first arc of the path
573 573
    void eraseFront() {
574 574
      Node *node = first;
575 575
      first = first->next;
576 576
      if (first) {
577 577
        first->prev = 0;
578 578
      } else {
579 579
        last = 0;
580 580
      }
581 581
      alloc.destroy(node);
582 582
      alloc.deallocate(node, 1);
583 583
    }
584 584

	
585 585
    /// \brief The last arc of the path.
586 586
    const Arc& back() const {
587 587
      return last->arc;
588 588
    }
589 589

	
590 590
    /// \brief Add a new arc behind the current path.
591 591
    void addBack(const Arc& arc) {
592 592
      Node *node = alloc.allocate(1);
593 593
      alloc.construct(node, Node());
594 594
      node->next = 0;
595 595
      node->prev = last;
596 596
      node->arc = arc;
597 597
      if (last) {
598 598
        last->next = node;
599 599
        last = node;
600 600
      } else {
601 601
        last = first = node;
602 602
      }
603 603
    }
604 604

	
605 605
    /// \brief Erase the last arc of the path
606 606
    void eraseBack() {
607 607
      Node *node = last;
608 608
      last = last->prev;
609 609
      if (last) {
610 610
        last->next = 0;
611 611
      } else {
612 612
        first = 0;
613 613
      }
614 614
      alloc.destroy(node);
615 615
      alloc.deallocate(node, 1);
616 616
    }
617 617

	
618 618
    /// \brief Splice a path to the back of the current path.
619 619
    ///
620 620
    /// It splices \c tpath to the back of the current path and \c
621 621
    /// tpath becomes empty. The time complexity of this function is
622 622
    /// O(1).
623 623
    void spliceBack(ListPath& tpath) {
624 624
      if (first) {
625 625
        if (tpath.first) {
626 626
          last->next = tpath.first;
627 627
          tpath.first->prev = last;
628 628
          last = tpath.last;
629 629
        }
630 630
      } else {
631 631
        first = tpath.first;
632 632
        last = tpath.last;
633 633
      }
634 634
      tpath.first = tpath.last = 0;
635 635
    }
636 636

	
637 637
    /// \brief Splice a path to the front of the current path.
638 638
    ///
639 639
    /// It splices \c tpath before the current path and \c tpath
640 640
    /// becomes empty. The time complexity of this function
641 641
    /// is O(1).
642 642
    void spliceFront(ListPath& tpath) {
643 643
      if (first) {
644 644
        if (tpath.first) {
645 645
          first->prev = tpath.last;
646 646
          tpath.last->next = first;
647 647
          first = tpath.first;
648 648
        }
649 649
      } else {
650 650
        first = tpath.first;
651 651
        last = tpath.last;
652 652
      }
653 653
      tpath.first = tpath.last = 0;
654 654
    }
655 655

	
656 656
    /// \brief Splice a path into the current path.
657 657
    ///
658 658
    /// It splices the \c tpath into the current path before the
659 659
    /// position of \c it iterator and \c tpath becomes empty. The
660 660
    /// time complexity of this function is O(1). If the \c it is
661 661
    /// \c INVALID then it will splice behind the current path.
662 662
    void splice(ArcIt it, ListPath& tpath) {
663 663
      if (it.node) {
664 664
        if (tpath.first) {
665 665
          tpath.first->prev = it.node->prev;
666 666
          if (it.node->prev) {
667 667
            it.node->prev->next = tpath.first;
668 668
          } else {
669 669
            first = tpath.first;
670 670
          }
671 671
          it.node->prev = tpath.last;
672 672
          tpath.last->next = it.node;
673 673
        }
674 674
      } else {
675 675
        if (first) {
676 676
          if (tpath.first) {
677 677
            last->next = tpath.first;
678 678
            tpath.first->prev = last;
679 679
            last = tpath.last;
680 680
          }
681 681
        } else {
682 682
          first = tpath.first;
683 683
          last = tpath.last;
684 684
        }
685 685
      }
686 686
      tpath.first = tpath.last = 0;
687 687
    }
688 688

	
689 689
    /// \brief Split the current path.
690 690
    ///
691 691
    /// It splits the current path into two parts. The part before
692 692
    /// the iterator \c it will remain in the current path and the part
693 693
    /// starting with
694 694
    /// \c it will put into \c tpath. If \c tpath have arcs
695 695
    /// before the operation they are removed first.  The time
696 696
    /// complexity of this function is O(1) plus the the time of emtying
697 697
    /// \c tpath. If \c it is \c INVALID then it just clears \c tpath
698 698
    void split(ArcIt it, ListPath& tpath) {
699 699
      tpath.clear();
700 700
      if (it.node) {
701 701
        tpath.first = it.node;
702 702
        tpath.last = last;
703 703
        if (it.node->prev) {
704 704
          last = it.node->prev;
705 705
          last->next = 0;
706 706
        } else {
707 707
          first = last = 0;
708 708
        }
709 709
        it.node->prev = 0;
710 710
      }
711 711
    }
712 712

	
713 713

	
714 714
    typedef True BuildTag;
715 715

	
716 716
    template <typename CPath>
717 717
    void build(const CPath& path) {
718 718
      for (typename CPath::ArcIt it(path); it != INVALID; ++it) {
719 719
        addBack(it);
720 720
      }
721 721
    }
722 722

	
723 723
    template <typename CPath>
724 724
    void buildRev(const CPath& path) {
725 725
      for (typename CPath::RevArcIt it(path); it != INVALID; ++it) {
726 726
        addFront(it);
727 727
      }
728 728
    }
729 729

	
730 730
  };
731 731

	
732 732
  /// \brief A structure for representing directed paths in a digraph.
733 733
  ///
734 734
  /// A structure for representing directed path in a digraph.
735
  /// \param Digraph The digraph type in which the path is.
735
  /// \tparam _Digraph The digraph type in which the path is.
736 736
  ///
737 737
  /// In a sense, the path can be treated as a list of arcs. The
738 738
  /// lemon path type stores just this list. As a consequence it
739 739
  /// cannot enumerate the nodes in the path and the source node of
740 740
  /// a zero length path is undefined.
741 741
  ///
742 742
  /// This implementation is completly static, i.e. it can be copy constucted
743 743
  /// or copy assigned from another path, but otherwise it cannot be
744 744
  /// modified.
745 745
  ///
746 746
  /// Being the the most memory efficient path type in LEMON,
747 747
  /// it is intented to be
748 748
  /// used when you want to store a large number of paths.
749 749
  template <typename _Digraph>
750 750
  class StaticPath {
751 751
  public:
752 752

	
753 753
    typedef _Digraph Digraph;
754 754
    typedef typename Digraph::Arc Arc;
755 755

	
756 756
    /// \brief Default constructor
757 757
    ///
758 758
    /// Default constructor
759 759
    StaticPath() : len(0), arcs(0) {}
760 760
    
761 761
    /// \brief Template copy constructor
762 762
    ///
763 763
    /// This path can be initialized from any other path type.
764 764
    template <typename CPath>
765 765
    StaticPath(const CPath& cpath) : arcs(0) {
766 766
      copyPath(*this, cpath);
767 767
    }
768 768

	
769 769
    /// \brief Destructor of the path
770 770
    ///
771 771
    /// Destructor of the path
772 772
    ~StaticPath() {
773 773
      if (arcs) delete[] arcs;
774 774
    }
775 775

	
776 776
    /// \brief Template copy assignment
777 777
    ///
778 778
    /// This path can be made equal to any other path type. It simply
779 779
    /// makes a copy of the given path.
780 780
    template <typename CPath>
781 781
    StaticPath& operator=(const CPath& cpath) {
782 782
      copyPath(*this, cpath);
783 783
      return *this;
784 784
    }
785 785

	
786 786
    /// \brief Iterator class to iterate on the arcs of the paths
787 787
    ///
788 788
    /// This class is used to iterate on the arcs of the paths
789 789
    ///
790 790
    /// Of course it converts to Digraph::Arc
791 791
    class ArcIt {
792 792
      friend class StaticPath;
793 793
    public:
794 794
      /// Default constructor
795 795
      ArcIt() {}
796 796
      /// Invalid constructor
797 797
      ArcIt(Invalid) : path(0), idx(-1) {}
798 798
      /// Initializate the constructor to the first arc of path
799 799
      ArcIt(const StaticPath &_path) 
800 800
        : path(&_path), idx(_path.empty() ? -1 : 0) {}
801 801

	
802 802
    private:
803 803

	
804 804
      /// Constructor with starting point
805 805
      ArcIt(const StaticPath &_path, int _idx) 
806 806
        : idx(_idx), path(&_path) {}
807 807

	
808 808
    public:
809 809

	
810 810
      ///Conversion to Digraph::Arc
811 811
      operator const Arc&() const {
812 812
        return path->nth(idx);
813 813
      }
814 814

	
815 815
      /// Next arc
816 816
      ArcIt& operator++() { 
817 817
        ++idx;
818 818
        if (idx >= path->length()) idx = -1; 
819 819
        return *this; 
820 820
      }
821 821

	
822 822
      /// Comparison operator
823 823
      bool operator==(const ArcIt& e) const { return idx==e.idx; }
824 824
      /// Comparison operator
825 825
      bool operator!=(const ArcIt& e) const { return idx!=e.idx; }
826 826
      /// Comparison operator
827 827
      bool operator<(const ArcIt& e) const { return idx<e.idx; }
828 828

	
829 829
    private:
830 830
      const StaticPath *path;
831 831
      int idx;
832 832
    };
833 833

	
834 834
    /// \brief The nth arc.
835 835
    ///
836 836
    /// \pre n is in the [0..length() - 1] range
837 837
    const Arc& nth(int n) const {
838 838
      return arcs[n];
839 839
    }
840 840

	
841 841
    /// \brief The arc iterator pointing to the nth arc.
842 842
    ArcIt nthIt(int n) const {
843 843
      return ArcIt(*this, n);
844 844
    }
845 845

	
846 846
    /// \brief The length of the path.
847 847
    int length() const { return len; }
848 848

	
849 849
    /// \brief Return true when the path is empty.
850 850
    int empty() const { return len == 0; }
851 851

	
852 852
    /// \break Erase all arcs in the digraph.
853 853
    void clear() {
854 854
      len = 0;
855 855
      if (arcs) delete[] arcs;
856 856
      arcs = 0;
857 857
    }
858 858

	
859 859
    /// \brief The first arc of the path.
860 860
    const Arc& front() const {
861 861
      return arcs[0];
862 862
    }
863 863

	
864 864
    /// \brief The last arc of the path.
865 865
    const Arc& back() const {
866 866
      return arcs[len - 1];
867 867
    }
868 868

	
869 869

	
870 870
    typedef True BuildTag;
871 871

	
872 872
    template <typename CPath>
873 873
    void build(const CPath& path) {
874 874
      len = path.length();
875 875
      arcs = new Arc[len];
876 876
      int index = 0;
877 877
      for (typename CPath::ArcIt it(path); it != INVALID; ++it) {
878 878
        arcs[index] = it;
879 879
        ++index;
880 880
      }
881 881
    }
882 882

	
883 883
    template <typename CPath>
884 884
    void buildRev(const CPath& path) {
885 885
      len = path.length();
886 886
      arcs = new Arc[len];
887 887
      int index = len;
888 888
      for (typename CPath::RevArcIt it(path); it != INVALID; ++it) {
889 889
        --index;
890 890
        arcs[index] = it;
891 891
      }
892 892
    }
893 893

	
894 894
  private:
895 895
    int len;
896 896
    Arc* arcs;
897 897
  };
898 898

	
899 899
  ///////////////////////////////////////////////////////////////////////
900 900
  // Additional utilities
901 901
  ///////////////////////////////////////////////////////////////////////
902 902

	
903 903
  namespace _path_bits {
904 904

	
905 905
    template <typename Path, typename Enable = void>
906 906
    struct RevPathTagIndicator {
907 907
      static const bool value = false;
908 908
    };
909 909

	
910 910
    template <typename Path>
911 911
    struct RevPathTagIndicator<
912 912
      Path, 
913 913
      typename enable_if<typename Path::RevPathTag, void>::type
914 914
      > {
915 915
      static const bool value = true;
916 916
    };
917 917

	
918 918
    template <typename Path, typename Enable = void>
919 919
    struct BuildTagIndicator {
920 920
      static const bool value = false;
921 921
    };
922 922

	
923 923
    template <typename Path>
924 924
    struct BuildTagIndicator<
925 925
      Path, 
926 926
      typename enable_if<typename Path::BuildTag, void>::type
927 927
    > {

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