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Ignore white space 6 line context
... ...
@@ -57,49 +57,49 @@
57 57
have to be satisfied and all supplies have to be used.
58 58

	
59 59

	
60 60
\section mcf_algs Algorithms
61 61

	
62 62
LEMON contains several algorithms for solving this problem, for more
63 63
information see \ref min_cost_flow_algs "Minimum Cost Flow Algorithms".
64 64

	
65 65
A feasible solution for this problem can be found using \ref Circulation.
66 66

	
67 67

	
68 68
\section mcf_dual Dual Solution
69 69

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

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

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

	
92 92

	
93 93
\section mcf_eq Equality Form
94 94

	
95 95
The above \ref mcf_def "definition" is actually more general than the
96 96
usual formulation of the minimum cost flow problem, in which strict
97 97
equalities are required in the supply/demand contraints.
98 98

	
99 99
\f[ \min\sum_{uv\in A} f(uv) \cdot cost(uv) \f]
100 100
\f[ \sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) =
101 101
    sup(u) \quad \forall u\in V \f]
102 102
\f[ lower(uv) \leq f(uv) \leq upper(uv) \quad \forall uv\in A \f]
103 103

	
104 104
However if the sum of the supply values is zero, then these two problems
105 105
are equivalent.
... ...
@@ -124,30 +124,30 @@
124 124
positive) and all the demands have to be satisfied, but there
125 125
could be supplies that are not carried out from the supply
126 126
nodes.
127 127
The equality form is also a special case of this form, of course.
128 128

	
129 129
You could easily transform this case to the \ref mcf_def "GEQ form"
130 130
of the problem by reversing the direction of the arcs and taking the
131 131
negative of the supply values (e.g. using \ref ReverseDigraph and
132 132
\ref NegMap adaptors).
133 133
However \ref NetworkSimplex algorithm also supports this form directly
134 134
for the sake of convenience.
135 135

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

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

	
152 152
*/
153 153
}
Ignore white space 6 line context
... ...
@@ -279,49 +279,49 @@
279 279
    };
280 280

	
281 281
    /// \brief \ref named-templ-param "Named parameter" for setting
282 282
    /// \c DistMap type.
283 283
    ///
284 284
    /// \ref named-templ-param "Named parameter" for setting
285 285
    /// \c DistMap type.
286 286
    /// It must conform to the \ref concepts::WriteMap "WriteMap" concept.
287 287
    template <class T>
288 288
    struct SetDistMap 
289 289
      : public BellmanFord< Digraph, LengthMap, SetDistMapTraits<T> > {
290 290
      typedef BellmanFord< Digraph, LengthMap, SetDistMapTraits<T> > Create;
291 291
    };
292 292

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

	
313 313
  protected:
314 314
    
315 315
    BellmanFord() {}
316 316

	
317 317
  public:      
318 318
    
319 319
    /// \brief Constructor.
320 320
    ///
321 321
    /// Constructor.
322 322
    /// \param g The digraph the algorithm runs on.
323 323
    /// \param length The length map used by the algorithm.
324 324
    BellmanFord(const Digraph& g, const LengthMap& length) :
325 325
      _gr(&g), _length(&length),
326 326
      _pred(0), _local_pred(false),
327 327
      _dist(0), _local_dist(false), _mask(0) {}
... ...
@@ -697,64 +697,64 @@
697 697
    {
698 698
      return Path(*_gr, *_pred, t);
699 699
    }
700 700
	  
701 701
    /// \brief The distance of the given node from the root(s).
702 702
    ///
703 703
    /// Returns the distance of the given node from the root(s).
704 704
    ///
705 705
    /// \warning If node \c v is not reached from the root(s), then
706 706
    /// the return value of this function is undefined.
707 707
    ///
708 708
    /// \pre Either \ref run() or \ref init() must be called before
709 709
    /// using this function.
710 710
    Value dist(Node v) const { return (*_dist)[v]; }
711 711

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

	
727 727
    /// \brief Returns the 'previous node' of the shortest path tree for
728 728
    /// the given node.
729 729
    ///
730 730
    /// This function returns the 'previous node' of the shortest path
731 731
    /// tree for node \c v, i.e. it returns the last but one node of
732 732
    /// a shortest path from a root to \c v. It is \c INVALID if \c v
733 733
    /// is not reached from the root(s) or if \c v is a root.
734 734
    ///
735 735
    /// The shortest path tree used here is equal to the shortest path
736
    /// tree used in \ref predArc() and \predMap().
736
    /// tree used in \ref predArc() and \ref predMap().
737 737
    ///
738 738
    /// \pre Either \ref run() or \ref init() must be called before
739 739
    /// using this function.
740 740
    Node predNode(Node v) const { 
741 741
      return (*_pred)[v] == INVALID ? INVALID : _gr->source((*_pred)[v]); 
742 742
    }
743 743
    
744 744
    /// \brief Returns a const reference to the node map that stores the
745 745
    /// distances of the nodes.
746 746
    ///
747 747
    /// Returns a const reference to the node map that stores the distances
748 748
    /// of the nodes calculated by the algorithm.
749 749
    ///
750 750
    /// \pre Either \ref run() or \ref init() must be called before
751 751
    /// using this function.
752 752
    const DistMap &distMap() const { return *_dist;}
753 753
 
754 754
    /// \brief Returns a const reference to the node map that stores the
755 755
    /// predecessor arcs.
756 756
    ///
757 757
    /// Returns a const reference to the node map that stores the predecessor
758 758
    /// arcs, which form the shortest path tree (forest).
759 759
    ///
760 760
    /// \pre Either \ref run() or \ref init() must be called before
Ignore white space 6 line context
... ...
@@ -42,49 +42,49 @@
42 42
    ///The type of the digraph the algorithm runs on.
43 43
    typedef GR Digraph;
44 44

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

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

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

	
64 64
    ///The type of the map that indicates which nodes are processed.
65 65
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
66
    ///By default it is a NullMap.
66
    ///By default, it is a NullMap.
67 67
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
68 68
    ///Instantiates a \c ProcessedMap.
69 69

	
70 70
    ///This function instantiates a \ref ProcessedMap.
71 71
    ///\param g is the digraph, to which
72 72
    ///we would like to define the \ref ProcessedMap
73 73
#ifdef DOXYGEN
74 74
    static ProcessedMap *createProcessedMap(const Digraph &g)
75 75
#else
76 76
    static ProcessedMap *createProcessedMap(const Digraph &)
77 77
#endif
78 78
    {
79 79
      return new ProcessedMap();
80 80
    }
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 conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
86 86
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
87 87
    ///Instantiates a \c ReachedMap.
88 88

	
89 89
    ///This function instantiates a \ref ReachedMap.
90 90
    ///\param g is the digraph, to which
... ...
@@ -827,49 +827,49 @@
827 827
    ///The type of the digraph the algorithm runs on.
828 828
    typedef GR Digraph;
829 829

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

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

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

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

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

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

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

	
874 874
    ///This function instantiates a ReachedMap.
875 875
    ///\param g is the digraph, to which
Ignore white space 6 line context
... ...
@@ -285,49 +285,49 @@
285 285
    template <typename T>
286 286
    struct SetElevator
287 287
      : public Circulation<Digraph, LowerMap, UpperMap, SupplyMap,
288 288
                           SetElevatorTraits<T> > {
289 289
      typedef Circulation<Digraph, LowerMap, UpperMap, SupplyMap,
290 290
                          SetElevatorTraits<T> > Create;
291 291
    };
292 292

	
293 293
    template <typename T>
294 294
    struct SetStandardElevatorTraits : public Traits {
295 295
      typedef T Elevator;
296 296
      static Elevator *createElevator(const Digraph& digraph, int max_level) {
297 297
        return new Elevator(digraph, max_level);
298 298
      }
299 299
    };
300 300

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

	
321 321
    /// @}
322 322

	
323 323
  protected:
324 324

	
325 325
    Circulation() {}
326 326

	
327 327
  public:
328 328

	
329 329
    /// Constructor.
330 330

	
331 331
    /// The constructor of the class.
332 332
    ///
333 333
    /// \param graph The digraph the algorithm runs on.
Ignore white space 6 line context
... ...
@@ -86,49 +86,49 @@
86 86
        /// Equality operator.
87 87
        ///
88 88
        /// Two iterators are equal if and only if they point to the
89 89
        /// same object or both are \c INVALID.
90 90
        bool operator==(Node) const { return true; }
91 91

	
92 92
        /// Inequality operator
93 93

	
94 94
        /// Inequality operator.
95 95
        bool operator!=(Node) const { return true; }
96 96

	
97 97
        /// Artificial ordering operator.
98 98

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

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

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

	
120 120
        /// Default constructor.
121 121
        /// \warning It sets the iterator to an undefined value.
122 122
        NodeIt() { }
123 123
        /// Copy constructor.
124 124

	
125 125
        /// Copy constructor.
126 126
        ///
127 127
        NodeIt(const NodeIt& n) : Node(n) { }
128 128
        /// %Invalid constructor \& conversion.
129 129

	
130 130
        /// Initializes the iterator to be invalid.
131 131
        /// \sa Invalid for more details.
132 132
        NodeIt(Invalid) { }
133 133
        /// Sets the iterator to the first node.
134 134

	
... ...
@@ -175,138 +175,138 @@
175 175
        /// Equality operator.
176 176
        ///
177 177
        /// Two iterators are equal if and only if they point to the
178 178
        /// same object or both are \c INVALID.
179 179
        bool operator==(Arc) const { return true; }
180 180
        /// Inequality operator
181 181

	
182 182
        /// Inequality operator.
183 183
        bool operator!=(Arc) const { return true; }
184 184

	
185 185
        /// Artificial ordering operator.
186 186

	
187 187
        /// Artificial ordering operator.
188 188
        ///
189 189
        /// \note This operator only has to define some strict ordering of
190 190
        /// the arcs; this order has nothing to do with the iteration
191 191
        /// ordering of the arcs.
192 192
        bool operator<(Arc) const { return false; }
193 193
      };
194 194

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

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

	
210 210
        /// Default constructor.
211 211
        /// \warning It sets the iterator to an undefined value.
212 212
        OutArcIt() { }
213 213
        /// Copy constructor.
214 214

	
215 215
        /// Copy constructor.
216 216
        ///
217 217
        OutArcIt(const OutArcIt& e) : Arc(e) { }
218 218
        /// %Invalid constructor \& conversion.
219 219

	
220 220
        /// Initializes the iterator to be invalid.
221 221
        /// \sa Invalid for more details.
222 222
        OutArcIt(Invalid) { }
223 223
        /// Sets the iterator to the first outgoing arc.
224 224

	
225 225
        /// Sets the iterator to the first outgoing arc of the given node.
226 226
        ///
227 227
        OutArcIt(const Digraph&, const Node&) { }
228 228
        /// Sets the iterator to the given arc.
229 229

	
230 230
        /// Sets the iterator to the given arc of the given digraph.
231 231
        ///
232 232
        OutArcIt(const Digraph&, const Arc&) { }
233 233
        /// Next outgoing arc
234 234

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

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

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

	
255 255
        /// Default constructor.
256 256
        /// \warning It sets the iterator to an undefined value.
257 257
        InArcIt() { }
258 258
        /// Copy constructor.
259 259

	
260 260
        /// Copy constructor.
261 261
        ///
262 262
        InArcIt(const InArcIt& e) : Arc(e) { }
263 263
        /// %Invalid constructor \& conversion.
264 264

	
265 265
        /// Initializes the iterator to be invalid.
266 266
        /// \sa Invalid for more details.
267 267
        InArcIt(Invalid) { }
268 268
        /// Sets the iterator to the first incoming arc.
269 269

	
270 270
        /// Sets the iterator to the first incoming arc of the given node.
271 271
        ///
272 272
        InArcIt(const Digraph&, const Node&) { }
273 273
        /// Sets the iterator to the given arc.
274 274

	
275 275
        /// Sets the iterator to the given arc of the given digraph.
276 276
        ///
277 277
        InArcIt(const Digraph&, const Arc&) { }
278 278
        /// Next incoming arc
279 279

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

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

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

	
298 298
        /// Default constructor.
299 299
        /// \warning It sets the iterator to an undefined value.
300 300
        ArcIt() { }
301 301
        /// Copy constructor.
302 302

	
303 303
        /// Copy constructor.
304 304
        ///
305 305
        ArcIt(const ArcIt& e) : Arc(e) { }
306 306
        /// %Invalid constructor \& conversion.
307 307

	
308 308
        /// Initializes the iterator to be invalid.
309 309
        /// \sa Invalid for more details.
310 310
        ArcIt(Invalid) { }
311 311
        /// Sets the iterator to the first arc.
312 312

	
Ignore white space 6 line context
... ...
@@ -119,49 +119,49 @@
119 119
        ///
120 120
        /// Two iterators are equal if and only if they point to the
121 121
        /// same object or both are \c INVALID.
122 122
        bool operator==(Node) const { return true; }
123 123

	
124 124
        /// Inequality operator
125 125

	
126 126
        /// Inequality operator.
127 127
        bool operator!=(Node) const { return true; }
128 128

	
129 129
        /// Artificial ordering operator.
130 130

	
131 131
        /// Artificial ordering operator.
132 132
        ///
133 133
        /// \note This operator only has to define some strict ordering of
134 134
        /// the items; this order has nothing to do with the iteration
135 135
        /// ordering of the items.
136 136
        bool operator<(Node) const { return false; }
137 137

	
138 138
      };
139 139

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

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

	
153 153
        /// Default constructor.
154 154
        /// \warning It sets the iterator to an undefined value.
155 155
        NodeIt() { }
156 156
        /// Copy constructor.
157 157

	
158 158
        /// Copy constructor.
159 159
        ///
160 160
        NodeIt(const NodeIt& n) : Node(n) { }
161 161
        /// %Invalid constructor \& conversion.
162 162

	
163 163
        /// Initializes the iterator to be invalid.
164 164
        /// \sa Invalid for more details.
165 165
        NodeIt(Invalid) { }
166 166
        /// Sets the iterator to the first node.
167 167

	
... ...
@@ -207,93 +207,93 @@
207 207

	
208 208
        /// Equality operator.
209 209
        ///
210 210
        /// Two iterators are equal if and only if they point to the
211 211
        /// same object or both are \c INVALID.
212 212
        bool operator==(Edge) const { return true; }
213 213
        /// Inequality operator
214 214

	
215 215
        /// Inequality operator.
216 216
        bool operator!=(Edge) const { return true; }
217 217

	
218 218
        /// Artificial ordering operator.
219 219

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

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

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

	
241 241
        /// Default constructor.
242 242
        /// \warning It sets the iterator to an undefined value.
243 243
        EdgeIt() { }
244 244
        /// Copy constructor.
245 245

	
246 246
        /// Copy constructor.
247 247
        ///
248 248
        EdgeIt(const EdgeIt& e) : Edge(e) { }
249 249
        /// %Invalid constructor \& conversion.
250 250

	
251 251
        /// Initializes the iterator to be invalid.
252 252
        /// \sa Invalid for more details.
253 253
        EdgeIt(Invalid) { }
254 254
        /// Sets the iterator to the first edge.
255 255

	
256 256
        /// Sets the iterator to the first edge of the given graph.
257 257
        ///
258 258
        explicit EdgeIt(const Graph&) { }
259 259
        /// Sets the iterator to the given edge.
260 260

	
261 261
        /// Sets the iterator to the given edge of the given graph.
262 262
        ///
263 263
        EdgeIt(const Graph&, const Edge&) { }
264 264
        /// Next edge
265 265

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

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

	
273 273
      /// This iterator goes trough the incident undirected edges
274 274
      /// of a certain node of a graph.
275
      /// Its usage is quite simple, for example you can compute the
275
      /// Its usage is quite simple, for example, you can compute the
276 276
      /// degree (i.e. the number of incident edges) of a node \c n
277 277
      /// in a graph \c g of type \c %Graph as follows.
278 278
      ///
279 279
      ///\code
280 280
      /// int count=0;
281 281
      /// for(Graph::IncEdgeIt e(g, n); e!=INVALID; ++e) ++count;
282 282
      ///\endcode
283 283
      ///
284 284
      /// \warning Loop edges will be iterated twice.
285 285
      class IncEdgeIt : public Edge {
286 286
      public:
287 287
        /// Default constructor
288 288

	
289 289
        /// Default constructor.
290 290
        /// \warning It sets the iterator to an undefined value.
291 291
        IncEdgeIt() { }
292 292
        /// Copy constructor.
293 293

	
294 294
        /// Copy constructor.
295 295
        ///
296 296
        IncEdgeIt(const IncEdgeIt& e) : Edge(e) { }
297 297
        /// %Invalid constructor \& conversion.
298 298

	
299 299
        /// Initializes the iterator to be invalid.
... ...
@@ -348,141 +348,141 @@
348 348
        /// Inequality operator
349 349

	
350 350
        /// Inequality operator.
351 351
        bool operator!=(Arc) const { return true; }
352 352

	
353 353
        /// Artificial ordering operator.
354 354

	
355 355
        /// Artificial ordering operator.
356 356
        ///
357 357
        /// \note This operator only has to define some strict ordering of
358 358
        /// the arcs; this order has nothing to do with the iteration
359 359
        /// ordering of the arcs.
360 360
        bool operator<(Arc) const { return false; }
361 361

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

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

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

	
382 382
        /// Default constructor.
383 383
        /// \warning It sets the iterator to an undefined value.
384 384
        ArcIt() { }
385 385
        /// Copy constructor.
386 386

	
387 387
        /// Copy constructor.
388 388
        ///
389 389
        ArcIt(const ArcIt& e) : Arc(e) { }
390 390
        /// %Invalid constructor \& conversion.
391 391

	
392 392
        /// Initializes the iterator to be invalid.
393 393
        /// \sa Invalid for more details.
394 394
        ArcIt(Invalid) { }
395 395
        /// Sets the iterator to the first arc.
396 396

	
397 397
        /// Sets the iterator to the first arc of the given graph.
398 398
        ///
399 399
        explicit ArcIt(const Graph &g) { ignore_unused_variable_warning(g); }
400 400
        /// Sets the iterator to the given arc.
401 401

	
402 402
        /// Sets the iterator to the given arc of the given graph.
403 403
        ///
404 404
        ArcIt(const Graph&, const Arc&) { }
405 405
        /// Next arc
406 406

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

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

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

	
427 427
        /// Default constructor.
428 428
        /// \warning It sets the iterator to an undefined value.
429 429
        OutArcIt() { }
430 430
        /// Copy constructor.
431 431

	
432 432
        /// Copy constructor.
433 433
        ///
434 434
        OutArcIt(const OutArcIt& e) : Arc(e) { }
435 435
        /// %Invalid constructor \& conversion.
436 436

	
437 437
        /// Initializes the iterator to be invalid.
438 438
        /// \sa Invalid for more details.
439 439
        OutArcIt(Invalid) { }
440 440
        /// Sets the iterator to the first outgoing arc.
441 441

	
442 442
        /// Sets the iterator to the first outgoing arc of the given node.
443 443
        ///
444 444
        OutArcIt(const Graph& n, const Node& g) {
445 445
          ignore_unused_variable_warning(n);
446 446
          ignore_unused_variable_warning(g);
447 447
        }
448 448
        /// Sets the iterator to the given arc.
449 449

	
450 450
        /// Sets the iterator to the given arc of the given graph.
451 451
        ///
452 452
        OutArcIt(const Graph&, const Arc&) { }
453 453
        /// Next outgoing arc
454 454

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

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

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

	
475 475
        /// Default constructor.
476 476
        /// \warning It sets the iterator to an undefined value.
477 477
        InArcIt() { }
478 478
        /// Copy constructor.
479 479

	
480 480
        /// Copy constructor.
481 481
        ///
482 482
        InArcIt(const InArcIt& e) : Arc(e) { }
483 483
        /// %Invalid constructor \& conversion.
484 484

	
485 485
        /// Initializes the iterator to be invalid.
486 486
        /// \sa Invalid for more details.
487 487
        InArcIt(Invalid) { }
488 488
        /// Sets the iterator to the first incoming arc.
... ...
@@ -566,62 +566,62 @@
566 566
      {
567 567
      public:
568 568

	
569 569
        /// Constructor
570 570
        explicit EdgeMap(const Graph&) { }
571 571
        /// Constructor with given initial value
572 572
        EdgeMap(const Graph&, T) { }
573 573

	
574 574
      private:
575 575
        ///Copy constructor
576 576
        EdgeMap(const EdgeMap& em) :
577 577
          ReferenceMap<Edge, T, T&, const T&>(em) {}
578 578
        ///Assignment operator
579 579
        template <typename CMap>
580 580
        EdgeMap& operator=(const CMap&) {
581 581
          checkConcept<ReadMap<Edge, T>, CMap>();
582 582
          return *this;
583 583
        }
584 584
      };
585 585

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

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

	
612 612
      /// \brief The source node of the arc.
613 613
      ///
614 614
      /// Returns the source node of the given arc.
615 615
      Node source(Arc) const { return INVALID; }
616 616

	
617 617
      /// \brief The target node of the arc.
618 618
      ///
619 619
      /// Returns the target node of the given arc.
620 620
      Node target(Arc) const { return INVALID; }
621 621

	
622 622
      /// \brief The ID of the node.
623 623
      ///
624 624
      /// Returns the ID of the given node.
625 625
      int id(Node) const { return -1; }
626 626

	
627 627
      /// \brief The ID of the edge.
Ignore white space 6 line context
1 1
/* -*- mode: C++; indent-tabs-mode: nil; -*-
2 2
 *
3 3
 * This file is a part of LEMON, a generic C++ optimization library.
4 4
 *
5 5
 * Copyright (C) 2003-2009
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 graph_concepts
20 20
///\file
21
///\brief The concept of graph components.
21
///\brief The concepts of graph components.
22 22

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

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

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

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

	
34 34
    /// \brief Concept class for \c Node, \c Arc and \c Edge types.
35 35
    ///
36 36
    /// This class describes the concept of \c Node, \c Arc and \c Edge
37 37
    /// subtypes of digraph and graph types.
38 38
    ///
39 39
    /// \note This class is a template class so that we can use it to
40 40
    /// create graph skeleton classes. The reason for this is that \c Node
41 41
    /// and \c Arc (or \c Edge) types should \e not derive from the same 
42 42
    /// base class. For \c Node you should instantiate it with character
43 43
    /// \c 'n', for \c Arc with \c 'a' and for \c Edge with \c 'e'.
44 44
#ifndef DOXYGEN
45 45
    template <char sel = '0'>
Ignore white space 48 line context
1 1
/* -*- mode: C++; indent-tabs-mode: nil; -*-
2 2
 *
3 3
 * This file is a part of LEMON, a generic C++ optimization library.
4 4
 *
5 5
 * Copyright (C) 2003-2009
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
///\brief Classes for representing paths in digraphs.
21
///\brief The concept of paths
22 22
///
23 23

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

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

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

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

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

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

	
57 66
      class ArcIt;
58 67

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

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

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

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

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

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

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

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

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

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

	
107 116
      };
108 117

	
109 118
      template <typename _Path>
110 119
      struct Constraints {
111 120
        void constraints() {
112 121
          Path<Digraph> pc;
113 122
          _Path p, pp(pc);
114 123
          int l = p.length();
115 124
          int e = p.empty();
116 125
          p.clear();
117 126

	
118 127
          p = pc;
... ...
@@ -171,130 +180,124 @@
171 180
          int e = p.empty();
172 181

	
173 182
          typename _Path::RevArcIt id, i(p);
174 183

	
175 184
          ++i;
176 185
          typename _Digraph::Arc ed = i;
177 186

	
178 187
          e = (i == INVALID);
179 188
          e = (i != INVALID);
180 189

	
181 190
          ignore_unused_variable_warning(l);
182 191
          ignore_unused_variable_warning(e);
183 192
          ignore_unused_variable_warning(id);
184 193
          ignore_unused_variable_warning(ed);
185 194
        }
186 195
        _Path& p;
187 196
      };
188 197

	
189 198
    }
190 199

	
191 200

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

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

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

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

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

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

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

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

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

	
261 263
      };
262 264

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

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

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

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

	
289 292
      };
290 293

	
291 294
      template <typename _Path>
292 295
      struct Constraints {
293 296
        void constraints() {
294 297
          function_requires<_path_bits::
295 298
            PathDumperConstraints<Digraph, _Path> >();
296 299
        }
297 300
      };
298 301

	
299 302
    };
300 303

	
Ignore white space 6 line context
... ...
@@ -191,49 +191,49 @@
191 191
    Counter &operator++() { count++; return *this;}
192 192
    ///\e
193 193
    int operator++(int) { return count++;}
194 194
    ///\e
195 195
    Counter &operator--() { count--; return *this;}
196 196
    ///\e
197 197
    int operator--(int) { return count--;}
198 198
    ///\e
199 199
    Counter &operator+=(int c) { count+=c; return *this;}
200 200
    ///\e
201 201
    Counter &operator-=(int c) { count-=c; return *this;}
202 202
    /// Resets the counter to the given value.
203 203

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

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

	
215
  /// This class can be used in the same way as \ref Counter however it
215
  /// This class can be used in the same way as \ref Counter, but it
216 216
  /// does not count at all and does not print report on destruction.
217 217
  ///
218 218
  /// Replacing a \ref Counter with a \ref NoCounter makes it possible
219 219
  /// to turn off all counting and reporting (SubCounters should also
220 220
  /// be replaced with NoSubCounters), so it does not affect the
221 221
  /// efficiency of the program at all.
222 222
  ///
223 223
  /// \sa Counter
224 224
  class NoCounter
225 225
  {
226 226
  public:
227 227
    typedef _NoSubCounter<NoCounter> SubCounter;
228 228
    typedef _NoSubCounter<NoCounter> NoSubCounter;
229 229

	
230 230
    NoCounter() {}
231 231
    NoCounter(std::string,std::ostream &) {}
232 232
    NoCounter(const char *,std::ostream &) {}
233 233
    NoCounter(std::string) {}
234 234
    NoCounter(const char *) {}
235 235
    NoCounter &operator++() { return *this; }
236 236
    int operator++(int) { return 0; }
237 237
    NoCounter &operator--() { return *this; }
238 238
    int operator--(int) { return 0; }
239 239
    NoCounter &operator+=(int) { return *this;}
Ignore white space 6 line context
... ...
@@ -42,49 +42,49 @@
42 42
    ///The type of the digraph the algorithm runs on.
43 43
    typedef GR Digraph;
44 44

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

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

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

	
64 64
    ///The type of the map that indicates which nodes are processed.
65 65
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
66
    ///By default it is a NullMap.
66
    ///By default, it is a NullMap.
67 67
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
68 68
    ///Instantiates a \c ProcessedMap.
69 69

	
70 70
    ///This function instantiates a \ref ProcessedMap.
71 71
    ///\param g is the digraph, to which
72 72
    ///we would like to define the \ref ProcessedMap.
73 73
#ifdef DOXYGEN
74 74
    static ProcessedMap *createProcessedMap(const Digraph &g)
75 75
#else
76 76
    static ProcessedMap *createProcessedMap(const Digraph &)
77 77
#endif
78 78
    {
79 79
      return new ProcessedMap();
80 80
    }
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 conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
86 86
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
87 87
    ///Instantiates a \c ReachedMap.
88 88

	
89 89
    ///This function instantiates a \ref ReachedMap.
90 90
    ///\param g is the digraph, to which
... ...
@@ -757,49 +757,49 @@
757 757
    ///The type of the digraph the algorithm runs on.
758 758
    typedef GR Digraph;
759 759

	
760 760
    ///\brief The type of the map that stores the predecessor
761 761
    ///arcs of the %DFS paths.
762 762
    ///
763 763
    ///The type of the map that stores the predecessor
764 764
    ///arcs of the %DFS paths.
765 765
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
766 766
    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
767 767
    ///Instantiates a PredMap.
768 768

	
769 769
    ///This function instantiates a PredMap.
770 770
    ///\param g is the digraph, to which we would like to define the
771 771
    ///PredMap.
772 772
    static PredMap *createPredMap(const Digraph &g)
773 773
    {
774 774
      return new PredMap(g);
775 775
    }
776 776

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

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

	
785 785
    ///This function instantiates a ProcessedMap.
786 786
    ///\param g is the digraph, to which
787 787
    ///we would like to define the ProcessedMap.
788 788
#ifdef DOXYGEN
789 789
    static ProcessedMap *createProcessedMap(const Digraph &g)
790 790
#else
791 791
    static ProcessedMap *createProcessedMap(const Digraph &)
792 792
#endif
793 793
    {
794 794
      return new ProcessedMap();
795 795
    }
796 796

	
797 797
    ///The type of the map that indicates which nodes are reached.
798 798

	
799 799
    ///The type of the map that indicates which nodes are reached.
800 800
    ///It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
801 801
    typedef typename Digraph::template NodeMap<bool> ReachedMap;
802 802
    ///Instantiates a ReachedMap.
803 803

	
804 804
    ///This function instantiates a ReachedMap.
805 805
    ///\param g is the digraph, to which
Ignore white space 6 line context
... ...
@@ -111,49 +111,49 @@
111 111
      return new Heap(r);
112 112
    }
113 113

	
114 114
    ///\brief The type of the map that stores the predecessor
115 115
    ///arcs of the shortest paths.
116 116
    ///
117 117
    ///The type of the map that stores the predecessor
118 118
    ///arcs of the shortest paths.
119 119
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
120 120
    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
121 121
    ///Instantiates a \c PredMap.
122 122

	
123 123
    ///This function instantiates a \ref PredMap.
124 124
    ///\param g is the digraph, to which we would like to define the
125 125
    ///\ref PredMap.
126 126
    static PredMap *createPredMap(const Digraph &g)
127 127
    {
128 128
      return new PredMap(g);
129 129
    }
130 130

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

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

	
139 139
    ///This function instantiates a \ref ProcessedMap.
140 140
    ///\param g is the digraph, to which
141 141
    ///we would like to define the \ref ProcessedMap.
142 142
#ifdef DOXYGEN
143 143
    static ProcessedMap *createProcessedMap(const Digraph &g)
144 144
#else
145 145
    static ProcessedMap *createProcessedMap(const Digraph &)
146 146
#endif
147 147
    {
148 148
      return new ProcessedMap();
149 149
    }
150 150

	
151 151
    ///The type of the map that stores the distances of the nodes.
152 152

	
153 153
    ///The type of the map that stores the distances of the nodes.
154 154
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
155 155
    typedef typename Digraph::template NodeMap<typename LEN::Value> DistMap;
156 156
    ///Instantiates a \c DistMap.
157 157

	
158 158
    ///This function instantiates a \ref DistMap.
159 159
    ///\param g is the digraph, to which we would like to define
... ...
@@ -405,70 +405,70 @@
405 405
      typedef Dijkstra< Digraph, LengthMap, SetHeapTraits<H, CR> > Create;
406 406
    };
407 407

	
408 408
    template <class H, class CR>
409 409
    struct SetStandardHeapTraits : public Traits {
410 410
      typedef CR HeapCrossRef;
411 411
      typedef H Heap;
412 412
      static HeapCrossRef *createHeapCrossRef(const Digraph &G) {
413 413
        return new HeapCrossRef(G);
414 414
      }
415 415
      static Heap *createHeap(HeapCrossRef &R)
416 416
      {
417 417
        return new Heap(R);
418 418
      }
419 419
    };
420 420
    ///\brief \ref named-templ-param "Named parameter" for setting
421 421
    ///heap and cross reference types with automatic allocation
422 422
    ///
423 423
    ///\ref named-templ-param "Named parameter" for setting heap and cross
424 424
    ///reference types with automatic allocation.
425 425
    ///They should have standard constructor interfaces to be able to
426 426
    ///automatically created by the algorithm (i.e. the digraph should be
427 427
    ///passed to the constructor of the cross reference and the cross
428 428
    ///reference should be passed to the constructor of the heap).
429
    ///However external heap and cross reference objects could also be
429
    ///However, external heap and cross reference objects could also be
430 430
    ///passed to the algorithm using the \ref heap() function before
431 431
    ///calling \ref run(Node) "run()" or \ref init().
432 432
    ///\sa SetHeap
433 433
    template <class H, class CR = typename Digraph::template NodeMap<int> >
434 434
    struct SetStandardHeap
435 435
      : public Dijkstra< Digraph, LengthMap, SetStandardHeapTraits<H, CR> > {
436 436
      typedef Dijkstra< Digraph, LengthMap, SetStandardHeapTraits<H, CR> >
437 437
      Create;
438 438
    };
439 439

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

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

	
458 458
    ///@}
459 459

	
460 460
  protected:
461 461

	
462 462
    Dijkstra() {}
463 463

	
464 464
  public:
465 465

	
466 466
    ///Constructor.
467 467

	
468 468
    ///Constructor.
469 469
    ///\param g The digraph the algorithm runs on.
470 470
    ///\param length The length map used by the algorithm.
471 471
    Dijkstra(const Digraph& g, const LengthMap& length) :
472 472
      G(&g), _length(&length),
473 473
      _pred(NULL), local_pred(false),
474 474
      _dist(NULL), local_dist(false),
... ...
@@ -975,49 +975,49 @@
975 975
      return new Heap(r);
976 976
    }
977 977

	
978 978
    ///\brief The type of the map that stores the predecessor
979 979
    ///arcs of the shortest paths.
980 980
    ///
981 981
    ///The type of the map that stores the predecessor
982 982
    ///arcs of the shortest paths.
983 983
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
984 984
    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
985 985
    ///Instantiates a PredMap.
986 986

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

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

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

	
1003 1003
    ///This function instantiates a ProcessedMap.
1004 1004
    ///\param g is the digraph, to which
1005 1005
    ///we would like to define the ProcessedMap.
1006 1006
#ifdef DOXYGEN
1007 1007
    static ProcessedMap *createProcessedMap(const Digraph &g)
1008 1008
#else
1009 1009
    static ProcessedMap *createProcessedMap(const Digraph &)
1010 1010
#endif
1011 1011
    {
1012 1012
      return new ProcessedMap();
1013 1013
    }
1014 1014

	
1015 1015
    ///The type of the map that stores the distances of the nodes.
1016 1016

	
1017 1017
    ///The type of the map that stores the distances of the nodes.
1018 1018
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
1019 1019
    typedef typename Digraph::template NodeMap<typename LEN::Value> DistMap;
1020 1020
    ///Instantiates a DistMap.
1021 1021

	
1022 1022
    ///This function instantiates a DistMap.
1023 1023
    ///\param g is the digraph, to which we would like to define
Ignore white space 6 line context
... ...
@@ -273,53 +273,51 @@
273 273
	  sn = (*_pred)[sn];
274 274
	}
275 275
      }
276 276
      return value;
277 277
    }
278 278

	
279 279
    /// \brief Return the minimum cut between two nodes
280 280
    ///
281 281
    /// This function returns the minimum cut between the nodes \c s and \c t
282 282
    /// in the \c cutMap parameter by setting the nodes in the component of
283 283
    /// \c s to \c true and the other nodes to \c false.
284 284
    ///
285 285
    /// For higher level interfaces see MinCutNodeIt and MinCutEdgeIt.
286 286
    ///
287 287
    /// \param s The base node.
288 288
    /// \param t The node you want to separate from node \c s.
289 289
    /// \param cutMap The cut will be returned in this map.
290 290
    /// It must be a \c bool (or convertible) \ref concepts::ReadWriteMap
291 291
    /// "ReadWriteMap" on the graph nodes.
292 292
    ///
293 293
    /// \return The value of the minimum cut between \c s and \c t.
294 294
    ///
295 295
    /// \pre \ref run() must be called before using this function.
296 296
    template <typename CutMap>
297
    Value minCutMap(const Node& s, ///< 
297
    Value minCutMap(const Node& s,
298 298
                    const Node& t,
299
                    ///< 
300 299
                    CutMap& cutMap
301
                    ///< 
302 300
                    ) const {
303 301
      Node sn = s, tn = t;
304 302
      bool s_root=false;
305 303
      Node rn = INVALID;
306 304
      Value value = std::numeric_limits<Value>::max();
307 305
      
308 306
      while (sn != tn) {
309 307
	if ((*_order)[sn] < (*_order)[tn]) {
310 308
	  if ((*_weight)[tn] <= value) {
311 309
	    rn = tn;
312 310
            s_root = false;
313 311
	    value = (*_weight)[tn];
314 312
	  }
315 313
	  tn = (*_pred)[tn];
316 314
	} else {
317 315
	  if ((*_weight)[sn] <= value) {
318 316
	    rn = sn;
319 317
            s_root = true;
320 318
	    value = (*_weight)[sn];
321 319
	  }
322 320
	  sn = (*_pred)[sn];
323 321
	}
324 322
      }
325 323

	
... ...
@@ -373,49 +371,49 @@
373 371
      /// Constructor
374 372

	
375 373
      /// Constructor.
376 374
      ///
377 375
      MinCutNodeIt(GomoryHu const &gomory,
378 376
                   ///< The GomoryHu class. You must call its
379 377
                   ///  run() method
380 378
                   ///  before initializing this iterator.
381 379
                   const Node& s, ///< The base node.
382 380
                   const Node& t,
383 381
                   ///< The node you want to separate from node \c s.
384 382
                   bool side=true
385 383
                   ///< If it is \c true (default) then the iterator lists
386 384
                   ///  the nodes of the component containing \c s,
387 385
                   ///  otherwise it lists the other component.
388 386
                   /// \note As the minimum cut is not always unique,
389 387
                   /// \code
390 388
                   /// MinCutNodeIt(gomory, s, t, true);
391 389
                   /// \endcode
392 390
                   /// and
393 391
                   /// \code
394 392
                   /// MinCutNodeIt(gomory, t, s, false);
395 393
                   /// \endcode
396 394
                   /// does not necessarily give the same set of nodes.
397
                   /// However it is ensured that
395
                   /// However, it is ensured that
398 396
                   /// \code
399 397
                   /// MinCutNodeIt(gomory, s, t, true);
400 398
                   /// \endcode
401 399
                   /// and
402 400
                   /// \code
403 401
                   /// MinCutNodeIt(gomory, s, t, false);
404 402
                   /// \endcode
405 403
                   /// together list each node exactly once.
406 404
                   )
407 405
        : _side(side), _cut(gomory._graph)
408 406
      {
409 407
        gomory.minCutMap(s,t,_cut);
410 408
        for(_node_it=typename Graph::NodeIt(gomory._graph);
411 409
            _node_it!=INVALID && _cut[_node_it]!=_side;
412 410
            ++_node_it) {}
413 411
      }
414 412
      /// Conversion to \c Node
415 413

	
416 414
      /// Conversion to \c Node.
417 415
      ///
418 416
      operator typename Graph::Node() const
419 417
      {
420 418
        return _node_it;
421 419
      }
Ignore white space 6 line context
... ...
@@ -121,49 +121,49 @@
121 121

	
122 122
  bool _scaleToA4;
123 123

	
124 124
  std::string _title;
125 125
  std::string _copyright;
126 126

	
127 127
  enum NodeTextColorType
128 128
    { DIST_COL=0, DIST_BW=1, CUST_COL=2, SAME_COL=3 } _nodeTextColorType;
129 129
  ConstMap<typename Graph::Node,Color > _nodeTextColors;
130 130

	
131 131
  bool _autoNodeScale;
132 132
  bool _autoArcWidthScale;
133 133

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

	
137 137
  bool _negY;
138 138

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

	
142 142
  ///Constructor
143 143
  ///\param gr  Reference to the graph to be printed.
144 144
  ///\param ost Reference to the output stream.
145
  ///By default it is <tt>std::cout</tt>.
145
  ///By default, it is <tt>std::cout</tt>.
146 146
  ///\param pros If it is \c true, then the \c ostream referenced by \c os
147 147
  ///will be explicitly deallocated by the destructor.
148 148
  DefaultGraphToEpsTraits(const GR &gr, std::ostream& ost = std::cout,
149 149
                          bool pros = false) :
150 150
    g(gr), os(ost),
151 151
    _coords(dim2::Point<double>(1,1)), _nodeSizes(1), _nodeShapes(0),
152 152
    _nodeColors(WHITE), _arcColors(BLACK),
153 153
    _arcWidths(1.0), _arcWidthScale(0.003),
154 154
    _nodeScale(.01), _xBorder(10), _yBorder(10), _scale(1.0),
155 155
    _nodeBorderQuotient(.1),
156 156
    _drawArrows(false), _arrowLength(1), _arrowWidth(0.3),
157 157
    _showNodes(true), _showArcs(true),
158 158
    _enableParallel(false), _parArcDist(1),
159 159
    _showNodeText(false), _nodeTexts(false), _nodeTextSize(1),
160 160
    _showNodePsText(false), _nodePsTexts(false), _nodePsTextsPreamble(0),
161 161
    _undirected(lemon::UndirectedTagIndicator<GR>::value),
162 162
    _pleaseRemoveOsStream(pros), _scaleToA4(false),
163 163
    _nodeTextColorType(SAME_COL), _nodeTextColors(BLACK),
164 164
    _autoNodeScale(false),
165 165
    _autoArcWidthScale(false),
166 166
    _absoluteNodeSizes(false),
167 167
    _absoluteArcWidths(false),
168 168
    _negY(false),
169 169
    _preScale(true)
... ...
@@ -491,49 +491,49 @@
491 491
  ///
492 492
  ///\sa nodeScale()
493 493
  ///
494 494
  GraphToEps<T> &autoNodeScale(bool b=true) {
495 495
    _autoNodeScale=b;return *this;
496 496
  }
497 497

	
498 498
  ///Turns on/off the absolutematic node size scaling.
499 499

	
500 500
  ///Turns on/off the absolutematic node size scaling.
501 501
  ///
502 502
  ///\sa nodeScale()
503 503
  ///
504 504
  GraphToEps<T> &absoluteNodeSizes(bool b=true) {
505 505
    _absoluteNodeSizes=b;return *this;
506 506
  }
507 507

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

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

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

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

	
526 526
  /// Sets a global scale factor for arc widths.
527 527
  ///
528 528
  /// If arcWidths() is not given, this function simply sets the arc
529 529
  /// widths to \c d.  If arcWidths() is given, but
530 530
  /// autoArcWidthScale() is not, then the arc withs given by
531 531
  /// arcWidths() will be multiplied by the value \c d.
532 532
  /// If both arcWidths() and autoArcWidthScale() are used, then the
533 533
  /// arc withs will be scaled in such a way that the greatest width will be
534 534
  /// equal to \c d.
535 535
  GraphToEps<T> &arcWidthScale(double d=.003) {_arcWidthScale=d;return *this;}
536 536
  ///Turns on/off the automatic arc width scaling.
537 537

	
538 538
  ///Turns on/off the automatic arc width scaling.
539 539
  ///
... ...
@@ -1093,61 +1093,61 @@
1093 1093
  GraphToEps<T> &parEdgeDist(double d) {return parArcDist(d);}
1094 1094

	
1095 1095
  ///An alias for hideArcs()
1096 1096
  GraphToEps<T> &hideEdges(bool b=true) {return hideArcs(b);}
1097 1097

	
1098 1098
  ///@}
1099 1099
};
1100 1100

	
1101 1101
template<class T>
1102 1102
const int GraphToEps<T>::INTERPOL_PREC = 20;
1103 1103
template<class T>
1104 1104
const double GraphToEps<T>::A4HEIGHT = 841.8897637795276;
1105 1105
template<class T>
1106 1106
const double GraphToEps<T>::A4WIDTH  = 595.275590551181;
1107 1107
template<class T>
1108 1108
const double GraphToEps<T>::A4BORDER = 15;
1109 1109

	
1110 1110

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

	
1113 1113
///\ingroup eps_io
1114 1114
///Generates an EPS file from a graph.
1115 1115
///\param g Reference to the graph to be printed.
1116 1116
///\param os Reference to the output stream.
1117
///By default it is <tt>std::cout</tt>.
1117
///By default, it is <tt>std::cout</tt>.
1118 1118
///
1119 1119
///This function also has a lot of
1120 1120
///\ref named-templ-func-param "named parameters",
1121 1121
///they are declared as the members of class \ref GraphToEps. The following
1122 1122
///example shows how to use these parameters.
1123 1123
///\code
1124 1124
/// graphToEps(g,os).scale(10).coords(coords)
1125 1125
///              .nodeScale(2).nodeSizes(sizes)
1126 1126
///              .arcWidthScale(.4).run();
1127 1127
///\endcode
1128 1128
///
1129
///For more detailed examples see the \ref graph_to_eps_demo.cc demo file.
1129
///For more detailed examples, see the \ref graph_to_eps_demo.cc demo file.
1130 1130
///
1131 1131
///\warning Don't forget to put the \ref GraphToEps::run() "run()"
1132 1132
///to the end of the parameter list.
1133 1133
///\sa GraphToEps
1134 1134
///\sa graphToEps(GR &g, const char *file_name)
1135 1135
template<class GR>
1136 1136
GraphToEps<DefaultGraphToEpsTraits<GR> >
1137 1137
graphToEps(GR &g, std::ostream& os=std::cout)
1138 1138
{
1139 1139
  return
1140 1140
    GraphToEps<DefaultGraphToEpsTraits<GR> >(DefaultGraphToEpsTraits<GR>(g,os));
1141 1141
}
1142 1142

	
1143 1143
///Generates an EPS file from a graph
1144 1144

	
1145 1145
///\ingroup eps_io
1146 1146
///This function does the same as
1147 1147
///\ref graphToEps(GR &g,std::ostream& os)
1148 1148
///but it writes its output into the file \c file_name
1149 1149
///instead of a stream.
1150 1150
///\sa graphToEps(GR &g, std::ostream& os)
1151 1151
template<class GR>
1152 1152
GraphToEps<DefaultGraphToEpsTraits<GR> >
1153 1153
graphToEps(GR &g,const char *file_name)
Ignore white space 6 line context
... ...
@@ -266,49 +266,49 @@
266 266
      return node._id;
267 267
    }
268 268

	
269 269
    Node operator()(int ix) const {
270 270
      return Node(ix);
271 271
    }
272 272

	
273 273
  private:
274 274
    int _dim;
275 275
    int _node_num, _edge_num;
276 276
  };
277 277

	
278 278

	
279 279
  typedef GraphExtender<HypercubeGraphBase> ExtendedHypercubeGraphBase;
280 280

	
281 281
  /// \ingroup graphs
282 282
  ///
283 283
  /// \brief Hypercube graph class
284 284
  ///
285 285
  /// HypercubeGraph implements a special graph type. The nodes of the
286 286
  /// graph are indexed with integers having at most \c dim binary digits.
287 287
  /// Two nodes are connected in the graph if and only if their indices
288 288
  /// differ only on one position in the binary form.
289 289
  /// This class is completely static and it needs constant memory space.
290
  /// Thus you can neither add nor delete nodes or edges, however 
290
  /// Thus you can neither add nor delete nodes or edges, however,
291 291
  /// the structure can be resized using resize().
292 292
  ///
293 293
  /// This type fully conforms to the \ref concepts::Graph "Graph concept".
294 294
  /// Most of its member functions and nested classes are documented
295 295
  /// only in the concept class.
296 296
  ///
297 297
  /// This class provides constant time counting for nodes, edges and arcs.
298 298
  ///
299 299
  /// \note The type of the indices is chosen to \c int for efficiency
300 300
  /// reasons. Thus the maximum dimension of this implementation is 26
301 301
  /// (assuming that the size of \c int is 32 bit).
302 302
  class HypercubeGraph : public ExtendedHypercubeGraphBase {
303 303
    typedef ExtendedHypercubeGraphBase Parent;
304 304

	
305 305
  public:
306 306

	
307 307
    /// \brief Constructs a hypercube graph with \c dim dimensions.
308 308
    ///
309 309
    /// Constructs a hypercube graph with \c dim dimensions.
310 310
    HypercubeGraph(int dim) { construct(dim); }
311 311

	
312 312
    /// \brief Resizes the graph
313 313
    ///
314 314
    /// This function resizes the graph. It fully destroys and
Ignore white space 6 line context
... ...
@@ -406,49 +406,49 @@
406 406
  /// The reading method does a batch processing. The user creates a
407 407
  /// reader object, then various reading rules can be added to the
408 408
  /// reader, and eventually the reading is executed with the \c run()
409 409
  /// member function. A map reading rule can be added to the reader
410 410
  /// with the \c nodeMap() or \c arcMap() members. An optional
411 411
  /// converter parameter can also be added as a standard functor
412 412
  /// converting from \c std::string to the value type of the map. If it
413 413
  /// is set, it will determine how the tokens in the file should be
414 414
  /// converted to the value type of the map. If the functor is not set,
415 415
  /// then a default conversion will be used. One map can be read into
416 416
  /// multiple map objects at the same time. The \c attribute(), \c
417 417
  /// node() and \c arc() functions are used to add attribute reading
418 418
  /// rules.
419 419
  ///
420 420
  ///\code
421 421
  /// DigraphReader<DGR>(digraph, std::cin).
422 422
  ///   nodeMap("coordinates", coord_map).
423 423
  ///   arcMap("capacity", cap_map).
424 424
  ///   node("source", src).
425 425
  ///   node("target", trg).
426 426
  ///   attribute("caption", caption).
427 427
  ///   run();
428 428
  ///\endcode
429 429
  ///
430
  /// By default the reader uses the first section in the file of the
430
  /// By default, the reader uses the first section in the file of the
431 431
  /// proper type. If a section has an optional name, then it can be
432 432
  /// selected for reading by giving an optional name parameter to the
433 433
  /// \c nodes(), \c arcs() or \c attributes() functions.
434 434
  ///
435 435
  /// The \c useNodes() and \c useArcs() functions are used to tell the reader
436 436
  /// that the nodes or arcs should not be constructed (added to the
437 437
  /// graph) during the reading, but instead the label map of the items
438 438
  /// are given as a parameter of these functions. An
439 439
  /// application of these functions is multipass reading, which is
440 440
  /// important if two \c \@arcs sections must be read from the
441 441
  /// file. In this case the first phase would read the node set and one
442 442
  /// of the arc sets, while the second phase would read the second arc
443 443
  /// set into an \e ArcSet class (\c SmartArcSet or \c ListArcSet).
444 444
  /// The previously read label node map should be passed to the \c
445 445
  /// useNodes() functions. Another application of multipass reading when
446 446
  /// paths are given as a node map or an arc map.
447 447
  /// It is impossible to read this in
448 448
  /// a single pass, because the arcs are not constructed when the node
449 449
  /// maps are read.
450 450
  template <typename DGR>
451 451
  class DigraphReader {
452 452
  public:
453 453

	
454 454
    typedef DGR Digraph;
... ...
@@ -2200,49 +2200,49 @@
2200 2200
      : _is(other._is), local_is(other.local_is) {
2201 2201

	
2202 2202
      other._is = 0;
2203 2203
      other.local_is = false;
2204 2204

	
2205 2205
      _sections.swap(other._sections);
2206 2206
    }
2207 2207

	
2208 2208
    SectionReader& operator=(const SectionReader&);
2209 2209

	
2210 2210
  public:
2211 2211

	
2212 2212
    /// \name Section Readers
2213 2213
    /// @{
2214 2214

	
2215 2215
    /// \brief Add a section processor with line oriented reading
2216 2216
    ///
2217 2217
    /// The first parameter is the type descriptor of the section, the
2218 2218
    /// second is a functor, which takes just one \c std::string
2219 2219
    /// parameter. At the reading process, each line of the section
2220 2220
    /// will be given to the functor object. However, the empty lines
2221 2221
    /// and the comment lines are filtered out, and the leading
2222 2222
    /// whitespaces are trimmed from each processed string.
2223 2223
    ///
2224
    /// For example let's see a section, which contain several
2224
    /// For example, let's see a section, which contain several
2225 2225
    /// integers, which should be inserted into a vector.
2226 2226
    ///\code
2227 2227
    ///  @numbers
2228 2228
    ///  12 45 23
2229 2229
    ///  4
2230 2230
    ///  23 6
2231 2231
    ///\endcode
2232 2232
    ///
2233 2233
    /// The functor is implemented as a struct:
2234 2234
    ///\code
2235 2235
    ///  struct NumberSection {
2236 2236
    ///    std::vector<int>& _data;
2237 2237
    ///    NumberSection(std::vector<int>& data) : _data(data) {}
2238 2238
    ///    void operator()(const std::string& line) {
2239 2239
    ///      std::istringstream ls(line);
2240 2240
    ///      int value;
2241 2241
    ///      while (ls >> value) _data.push_back(value);
2242 2242
    ///    }
2243 2243
    ///  };
2244 2244
    ///
2245 2245
    ///  // ...
2246 2246
    ///
2247 2247
    ///  reader.sectionLines("numbers", NumberSection(vec));
2248 2248
    ///\endcode
Ignore white space 6 line context
... ...
@@ -379,61 +379,61 @@
379 379

	
380 380
    /// Node validity check
381 381

	
382 382
    /// This function gives back \c true if the given node is valid,
383 383
    /// i.e. it is a real node of the digraph.
384 384
    ///
385 385
    /// \warning A removed node could become valid again if new nodes are
386 386
    /// added to the digraph.
387 387
    bool valid(Node n) const { return Parent::valid(n); }
388 388

	
389 389
    /// Arc validity check
390 390

	
391 391
    /// This function gives back \c true if the given arc is valid,
392 392
    /// i.e. it is a real arc of the digraph.
393 393
    ///
394 394
    /// \warning A removed arc could become valid again if new arcs are
395 395
    /// added to the digraph.
396 396
    bool valid(Arc a) const { return Parent::valid(a); }
397 397

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

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

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

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

	
425 425
    /// This function reverses the direction of the given arc.
426 426
    ///\note \c ArcIt, \c OutArcIt and \c InArcIt iterators referencing
427 427
    ///the changed arc are invalidated.
428 428
    ///
429 429
    ///\warning This functionality cannot be used together with the Snapshot
430 430
    ///feature.
431 431
    void reverseArc(Arc a) {
432 432
      Node t=target(a);
433 433
      changeTarget(a,source(a));
434 434
      changeSource(a,t);
435 435
    }
436 436

	
437 437
    ///Contract two nodes.
438 438

	
439 439
    ///This function contracts the given two nodes.
... ...
@@ -538,49 +538,49 @@
538 538

	
539 539
    /// Using this function, it is possible to avoid superfluous memory
540 540
    /// allocation: if you know that the digraph you want to build will
541 541
    /// be large (e.g. it will contain millions of nodes and/or arcs),
542 542
    /// then it is worth reserving space for this amount before starting
543 543
    /// to build the digraph.
544 544
    /// \sa reserveNode()
545 545
    void reserveArc(int m) { arcs.reserve(m); };
546 546

	
547 547
    /// \brief Class to make a snapshot of the digraph and restore
548 548
    /// it later.
549 549
    ///
550 550
    /// Class to make a snapshot of the digraph and restore it later.
551 551
    ///
552 552
    /// The newly added nodes and arcs can be removed using the
553 553
    /// restore() function.
554 554
    ///
555 555
    /// \note After a state is restored, you cannot restore a later state, 
556 556
    /// i.e. you cannot add the removed nodes and arcs again using
557 557
    /// another Snapshot instance.
558 558
    ///
559 559
    /// \warning Node and arc deletions and other modifications (e.g.
560 560
    /// reversing, contracting, splitting arcs or nodes) cannot be
561 561
    /// restored. These events invalidate the snapshot.
562
    /// However the arcs and nodes that were added to the digraph after
562
    /// However, the arcs and nodes that were added to the digraph after
563 563
    /// making the current snapshot can be removed without invalidating it.
564 564
    class Snapshot {
565 565
    protected:
566 566

	
567 567
      typedef Parent::NodeNotifier NodeNotifier;
568 568

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

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

	
575 575
        using NodeNotifier::ObserverBase::attach;
576 576
        using NodeNotifier::ObserverBase::detach;
577 577
        using NodeNotifier::ObserverBase::attached;
578 578

	
579 579
      protected:
580 580

	
581 581
        virtual void add(const Node& node) {
582 582
          snapshot.addNode(node);
583 583
        }
584 584
        virtual void add(const std::vector<Node>& nodes) {
585 585
          for (int i = nodes.size() - 1; i >= 0; ++i) {
586 586
            snapshot.addNode(nodes[i]);
... ...
@@ -1265,49 +1265,49 @@
1265 1265
    /// i.e. it is a real arc of the graph.
1266 1266
    ///
1267 1267
    /// \warning A removed arc could become valid again if new edges are
1268 1268
    /// added to the graph.
1269 1269
    bool valid(Arc a) const { return Parent::valid(a); }
1270 1270

	
1271 1271
    /// \brief Change the first node of an edge.
1272 1272
    ///
1273 1273
    /// This function changes the first node of the given edge \c e to \c n.
1274 1274
    ///
1275 1275
    ///\note \c EdgeIt and \c ArcIt iterators referencing the
1276 1276
    ///changed edge are invalidated and all other iterators whose
1277 1277
    ///base node is the changed node are also invalidated.
1278 1278
    ///
1279 1279
    ///\warning This functionality cannot be used together with the
1280 1280
    ///Snapshot feature.
1281 1281
    void changeU(Edge e, Node n) {
1282 1282
      Parent::changeU(e,n);
1283 1283
    }
1284 1284
    /// \brief Change the second node of an edge.
1285 1285
    ///
1286 1286
    /// This function changes the second node of the given edge \c e to \c n.
1287 1287
    ///
1288 1288
    ///\note \c EdgeIt iterators referencing the changed edge remain
1289
    ///valid, however \c ArcIt iterators referencing the changed edge and
1289
    ///valid, but \c ArcIt iterators referencing the changed edge and
1290 1290
    ///all other iterators whose base node is the changed node are also
1291 1291
    ///invalidated.
1292 1292
    ///
1293 1293
    ///\warning This functionality cannot be used together with the
1294 1294
    ///Snapshot feature.
1295 1295
    void changeV(Edge e, Node n) {
1296 1296
      Parent::changeV(e,n);
1297 1297
    }
1298 1298

	
1299 1299
    /// \brief Contract two nodes.
1300 1300
    ///
1301 1301
    /// This function contracts the given two nodes.
1302 1302
    /// Node \c b is removed, but instead of deleting
1303 1303
    /// its incident edges, they are joined to node \c a.
1304 1304
    /// If the last parameter \c r is \c true (this is the default value),
1305 1305
    /// then the newly created loops are removed.
1306 1306
    ///
1307 1307
    /// \note The moved edges are joined to node \c a using changeU()
1308 1308
    /// or changeV(), thus all edge and arc iterators whose base node is
1309 1309
    /// \c b are invalidated.
1310 1310
    /// Moreover all iterators referencing node \c b or the removed 
1311 1311
    /// loops are also invalidated. Other iterators remain valid.
1312 1312
    ///
1313 1313
    ///\warning This functionality cannot be used together with the
... ...
@@ -1350,49 +1350,49 @@
1350 1350

	
1351 1351
    /// Using this function, it is possible to avoid superfluous memory
1352 1352
    /// allocation: if you know that the graph you want to build will
1353 1353
    /// be large (e.g. it will contain millions of nodes and/or edges),
1354 1354
    /// then it is worth reserving space for this amount before starting
1355 1355
    /// to build the graph.
1356 1356
    /// \sa reserveNode()
1357 1357
    void reserveEdge(int m) { arcs.reserve(2 * m); };
1358 1358

	
1359 1359
    /// \brief Class to make a snapshot of the graph and restore
1360 1360
    /// it later.
1361 1361
    ///
1362 1362
    /// Class to make a snapshot of the graph and restore it later.
1363 1363
    ///
1364 1364
    /// The newly added nodes and edges can be removed
1365 1365
    /// using the restore() function.
1366 1366
    ///
1367 1367
    /// \note After a state is restored, you cannot restore a later state, 
1368 1368
    /// i.e. you cannot add the removed nodes and edges again using
1369 1369
    /// another Snapshot instance.
1370 1370
    ///
1371 1371
    /// \warning Node and edge deletions and other modifications
1372 1372
    /// (e.g. changing the end-nodes of edges or contracting nodes)
1373 1373
    /// cannot be restored. These events invalidate the snapshot.
1374
    /// However the edges and nodes that were added to the graph after
1374
    /// However, the edges and nodes that were added to the graph after
1375 1375
    /// making the current snapshot can be removed without invalidating it.
1376 1376
    class Snapshot {
1377 1377
    protected:
1378 1378

	
1379 1379
      typedef Parent::NodeNotifier NodeNotifier;
1380 1380

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

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

	
1387 1387
        using NodeNotifier::ObserverBase::attach;
1388 1388
        using NodeNotifier::ObserverBase::detach;
1389 1389
        using NodeNotifier::ObserverBase::attached;
1390 1390

	
1391 1391
      protected:
1392 1392

	
1393 1393
        virtual void add(const Node& node) {
1394 1394
          snapshot.addNode(node);
1395 1395
        }
1396 1396
        virtual void add(const std::vector<Node>& nodes) {
1397 1397
          for (int i = nodes.size() - 1; i >= 0; ++i) {
1398 1398
            snapshot.addNode(nodes[i]);
Ignore white space 6 line context
... ...
@@ -125,49 +125,49 @@
125 125
      Col(const Invalid&) : _id(-1) {}
126 126
      /// Equality operator
127 127

	
128 128
      /// Two \ref Col "Col"s are equal if and only if they point to
129 129
      /// the same LP column or both are invalid.
130 130
      bool operator==(Col c) const  {return _id == c._id;}
131 131
      /// Inequality operator
132 132

	
133 133
      /// \sa operator==(Col c)
134 134
      ///
135 135
      bool operator!=(Col c) const  {return _id != c._id;}
136 136
      /// Artificial ordering operator.
137 137

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

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

	
149
    /// Its usage is quite simple, for example you can count the number
149
    /// Its usage is quite simple, for example, you can count the number
150 150
    /// of columns in an LP \c lp:
151 151
    ///\code
152 152
    /// int count=0;
153 153
    /// for (LpBase::ColIt c(lp); c!=INVALID; ++c) ++count;
154 154
    ///\endcode
155 155
    class ColIt : public Col {
156 156
      const LpBase *_solver;
157 157
    public:
158 158
      /// Default constructor
159 159
      
160 160
      /// \warning The default constructor sets the iterator
161 161
      /// to an undefined value.
162 162
      ColIt() {}
163 163
      /// Sets the iterator to the first Col
164 164
      
165 165
      /// Sets the iterator to the first Col.
166 166
      ///
167 167
      ColIt(const LpBase &solver) : _solver(&solver)
168 168
      {
169 169
        _solver->cols.firstItem(_id);
170 170
      }
171 171
      /// Invalid constructor \& conversion
172 172
      
173 173
      /// Initialize the iterator to be invalid.
... ...
@@ -220,49 +220,49 @@
220 220
      Row(const Invalid&) : _id(-1) {}
221 221
      /// Equality operator
222 222

	
223 223
      /// Two \ref Row "Row"s are equal if and only if they point to
224 224
      /// the same LP row or both are invalid.
225 225
      bool operator==(Row r) const  {return _id == r._id;}
226 226
      /// Inequality operator
227 227
      
228 228
      /// \sa operator==(Row r)
229 229
      ///
230 230
      bool operator!=(Row r) const  {return _id != r._id;}
231 231
      /// Artificial ordering operator.
232 232

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

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

	
244
    /// Its usage is quite simple, for example you can count the number
244
    /// Its usage is quite simple, for example, you can count the number
245 245
    /// of rows in an LP \c lp:
246 246
    ///\code
247 247
    /// int count=0;
248 248
    /// for (LpBase::RowIt c(lp); c!=INVALID; ++c) ++count;
249 249
    ///\endcode
250 250
    class RowIt : public Row {
251 251
      const LpBase *_solver;
252 252
    public:
253 253
      /// Default constructor
254 254
      
255 255
      /// \warning The default constructor sets the iterator
256 256
      /// to an undefined value.
257 257
      RowIt() {}
258 258
      /// Sets the iterator to the first Row
259 259
      
260 260
      /// Sets the iterator to the first Row.
261 261
      ///
262 262
      RowIt(const LpBase &solver) : _solver(&solver)
263 263
      {
264 264
        _solver->rows.firstItem(_id);
265 265
      }
266 266
      /// Invalid constructor \& conversion
267 267
      
268 268
      /// Initialize the iterator to be invalid.
Ignore white space 6 line context
... ...
@@ -209,52 +209,52 @@
209 209
    ///\e
210 210
    typedef T Value;
211 211

	
212 212
    /// Gives back the given value without any modification.
213 213
    Value operator[](const Key &k) const {
214 214
      return k;
215 215
    }
216 216
  };
217 217

	
218 218
  /// Returns an \c IdentityMap class
219 219

	
220 220
  /// This function just returns an \c IdentityMap class.
221 221
  /// \relates IdentityMap
222 222
  template<typename T>
223 223
  inline IdentityMap<T> identityMap() {
224 224
    return IdentityMap<T>();
225 225
  }
226 226

	
227 227

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

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

	
249 249
  public:
250 250

	
251 251
    /// Key type
252 252
    typedef int Key;
253 253
    /// Value type
254 254
    typedef V Value;
255 255
    /// Reference type
256 256
    typedef typename Vector::reference Reference;
257 257
    /// Const reference type
258 258
    typedef typename Vector::const_reference ConstReference;
259 259

	
260 260
    typedef True ReferenceMapTag;
... ...
@@ -327,51 +327,51 @@
327 327

	
328 328
  /// This function just returns a \c RangeMap class created from an
329 329
  /// appropriate \c std::vector.
330 330
  /// \relates RangeMap
331 331
  template<typename V>
332 332
  inline RangeMap<V> rangeMap(const std::vector<V> &vector) {
333 333
    return RangeMap<V>(vector);
334 334
  }
335 335

	
336 336

	
337 337
  /// Map type based on \c std::map
338 338

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

	
364 364
    /// Key type
365 365
    typedef K Key;
366 366
    /// Value type
367 367
    typedef V Value;
368 368
    /// Reference type
369 369
    typedef Value& Reference;
370 370
    /// Const reference type
371 371
    typedef const Value& ConstReference;
372 372

	
373 373
    typedef True ReferenceMapTag;
374 374

	
375 375
  private:
376 376

	
377 377
    typedef std::map<K, V, Comp> Map;
... ...
@@ -1764,64 +1764,64 @@
1764 1764

	
1765 1765
    /// Gives back the the 'after the last' iterator
1766 1766
    Iterator end() const {
1767 1767
      return _end;
1768 1768
    }
1769 1769

	
1770 1770
    /// The set function of the map
1771 1771
    void set(const Key& key, Value value) {
1772 1772
      if (value) {
1773 1773
        *_end++ = key;
1774 1774
      }
1775 1775
    }
1776 1776

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

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

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

	
1812 1812
  /// @}
1813 1813

	
1814 1814
  /// \addtogroup graph_maps
1815 1815
  /// @{
1816 1816

	
1817 1817
  /// \brief Provides an immutable and unique id for each item in a graph.
1818 1818
  ///
1819 1819
  /// IdMap provides a unique and immutable id for each item of the
1820 1820
  /// same type (\c Node, \c Arc or \c Edge) in a graph. This id is
1821 1821
  ///  - \b unique: different items get different ids,
1822 1822
  ///  - \b immutable: the id of an item does not change (even if you
1823 1823
  ///    delete other nodes).
1824 1824
  ///
1825 1825
  /// Using this map you get access (i.e. can read) the inner id values of
1826 1826
  /// the items stored in the graph, which is returned by the \c id()
1827 1827
  /// function of the graph. This map can be inverted with its member
... ...
@@ -1901,49 +1901,49 @@
1901 1901

	
1902 1902
  /// \brief Returns an \c IdMap class.
1903 1903
  ///
1904 1904
  /// This function just returns an \c IdMap class.
1905 1905
  /// \relates IdMap
1906 1906
  template <typename K, typename GR>
1907 1907
  inline IdMap<GR, K> idMap(const GR& graph) {
1908 1908
    return IdMap<GR, K>(graph);
1909 1909
  }
1910 1910

	
1911 1911
  /// \brief General cross reference graph map type.
1912 1912

	
1913 1913
  /// This class provides simple invertable graph maps.
1914 1914
  /// It wraps a standard graph map (\c NodeMap, \c ArcMap or \c EdgeMap)
1915 1915
  /// and if a key is set to a new value, then stores it in the inverse map.
1916 1916
  /// The graph items can be accessed by their values either using
1917 1917
  /// \c InverseMap or \c operator()(), and the values of the map can be
1918 1918
  /// accessed with an STL compatible forward iterator (\c ValueIt).
1919 1919
  /// 
1920 1920
  /// This map is intended to be used when all associated values are
1921 1921
  /// different (the map is actually invertable) or there are only a few
1922 1922
  /// items with the same value.
1923 1923
  /// Otherwise consider to use \c IterableValueMap, which is more 
1924 1924
  /// suitable and more efficient for such cases. It provides iterators
1925
  /// to traverse the items with the same associated value, however
1925
  /// to traverse the items with the same associated value, but
1926 1926
  /// it does not have \c InverseMap.
1927 1927
  ///
1928 1928
  /// This type is not reference map, so it cannot be modified with
1929 1929
  /// the subscript operator.
1930 1930
  ///
1931 1931
  /// \tparam GR The graph type.
1932 1932
  /// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or
1933 1933
  /// \c GR::Edge).
1934 1934
  /// \tparam V The value type of the map.
1935 1935
  ///
1936 1936
  /// \see IterableValueMap
1937 1937
  template <typename GR, typename K, typename V>
1938 1938
  class CrossRefMap
1939 1939
    : protected ItemSetTraits<GR, K>::template Map<V>::Type {
1940 1940
  private:
1941 1941

	
1942 1942
    typedef typename ItemSetTraits<GR, K>::
1943 1943
      template Map<V>::Type Map;
1944 1944

	
1945 1945
    typedef std::multimap<V, K> Container;
1946 1946
    Container _inv_map;
1947 1947

	
1948 1948
  public:
1949 1949

	
... ...
@@ -3445,49 +3445,49 @@
3445 3445

	
3446 3446
  private:
3447 3447
    const GR& _graph;
3448 3448
  };
3449 3449

	
3450 3450
  /// \brief Returns a \c BackwardMap class
3451 3451

	
3452 3452
  /// This function just returns a \c BackwardMap class.
3453 3453
  /// \relates BackwardMap
3454 3454
  template <typename GR>
3455 3455
  inline BackwardMap<GR> backwardMap(const GR& graph) {
3456 3456
    return BackwardMap<GR>(graph);
3457 3457
  }
3458 3458

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

	
3481 3481
  public:
3482 3482

	
3483 3483
    /// The graph type of InDegMap
3484 3484
    typedef GR Graph;
3485 3485
    typedef GR Digraph;
3486 3486
    /// The key type
3487 3487
    typedef typename Digraph::Node Key;
3488 3488
    /// The value type
3489 3489
    typedef int Value;
3490 3490

	
3491 3491
    typedef typename ItemSetTraits<Digraph, typename Digraph::Arc>
3492 3492
    ::ItemNotifier::ObserverBase Parent;
3493 3493

	
... ...
@@ -3575,49 +3575,49 @@
3575 3575
      }
3576 3576
    }
3577 3577

	
3578 3578
    virtual void clear() {
3579 3579
      for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
3580 3580
        _deg[it] = 0;
3581 3581
      }
3582 3582
    }
3583 3583
  private:
3584 3584

	
3585 3585
    const Digraph& _digraph;
3586 3586
    AutoNodeMap _deg;
3587 3587
  };
3588 3588

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

	
3611 3611
  public:
3612 3612

	
3613 3613
    /// The graph type of OutDegMap
3614 3614
    typedef GR Graph;
3615 3615
    typedef GR Digraph;
3616 3616
    /// The key type
3617 3617
    typedef typename Digraph::Node Key;
3618 3618
    /// The value type
3619 3619
    typedef int Value;
3620 3620

	
3621 3621
    typedef typename ItemSetTraits<Digraph, typename Digraph::Arc>
3622 3622
    ::ItemNotifier::ObserverBase Parent;
3623 3623

	
Ignore white space 6 line context
... ...
@@ -29,67 +29,67 @@
29 29
#include <algorithm>
30 30

	
31 31
#include <lemon/core.h>
32 32
#include <lemon/math.h>
33 33

	
34 34
namespace lemon {
35 35

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

	
39 39
  /// \brief Implementation of the primal Network Simplex algorithm
40 40
  /// for finding a \ref min_cost_flow "minimum cost flow".
41 41
  ///
42 42
  /// \ref NetworkSimplex implements the primal Network Simplex algorithm
43 43
  /// for finding a \ref min_cost_flow "minimum cost flow"
44 44
  /// \ref amo93networkflows, \ref dantzig63linearprog,
45 45
  /// \ref kellyoneill91netsimplex.
46 46
  /// This algorithm is a specialized version of the linear programming
47 47
  /// simplex method directly for the minimum cost flow problem.
48 48
  /// It is one of the most efficient solution methods.
49 49
  ///
50 50
  /// In general this class is the fastest implementation available
51 51
  /// in LEMON for the minimum cost flow problem.
52 52
  /// Moreover it supports both directions of the supply/demand inequality
53
  /// constraints. For more information see \ref SupplyType.
53
  /// constraints. For more information, see \ref SupplyType.
54 54
  ///
55 55
  /// Most of the parameters of the problem (except for the digraph)
56 56
  /// can be given using separate functions, and the algorithm can be
57 57
  /// executed using the \ref run() function. If some parameters are not
58 58
  /// specified, then default values will be used.
59 59
  ///
60 60
  /// \tparam GR The digraph type the algorithm runs on.
61 61
  /// \tparam V The value type used for flow amounts, capacity bounds
62
  /// and supply values in the algorithm. By default it is \c int.
62
  /// and supply values in the algorithm. By default, it is \c int.
63 63
  /// \tparam C The value type used for costs and potentials in the
64
  /// algorithm. By default it is the same as \c V.
64
  /// algorithm. By default, it is the same as \c V.
65 65
  ///
66 66
  /// \warning Both value types must be signed and all input data must
67 67
  /// be integer.
68 68
  ///
69 69
  /// \note %NetworkSimplex provides five different pivot rule
70 70
  /// implementations, from which the most efficient one is used
71
  /// by default. For more information see \ref PivotRule.
71
  /// by default. For more information, see \ref PivotRule.
72 72
  template <typename GR, typename V = int, typename C = V>
73 73
  class NetworkSimplex
74 74
  {
75 75
  public:
76 76

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

	
82 82
  public:
83 83

	
84 84
    /// \brief Problem type constants for the \c run() function.
85 85
    ///
86 86
    /// Enum type containing the problem type constants that can be
87 87
    /// returned by the \ref run() function of the algorithm.
88 88
    enum ProblemType {
89 89
      /// The problem has no feasible solution (flow).
90 90
      INFEASIBLE,
91 91
      /// The problem has optimal solution (i.e. it is feasible and
92 92
      /// bounded), and the algorithm has found optimal flow and node
93 93
      /// potentials (primal and dual solutions).
94 94
      OPTIMAL,
95 95
      /// The objective function of the problem is unbounded, i.e.
... ...
@@ -103,77 +103,77 @@
103 103
    /// Enum type containing constants for selecting the supply type,
104 104
    /// i.e. the direction of the inequalities in the supply/demand
105 105
    /// constraints of the \ref min_cost_flow "minimum cost flow problem".
106 106
    ///
107 107
    /// The default supply type is \c GEQ, the \c LEQ type can be
108 108
    /// selected using \ref supplyType().
109 109
    /// The equality form is a special case of both supply types.
110 110
    enum SupplyType {
111 111
      /// This option means that there are <em>"greater or equal"</em>
112 112
      /// supply/demand constraints in the definition of the problem.
113 113
      GEQ,
114 114
      /// This option means that there are <em>"less or equal"</em>
115 115
      /// supply/demand constraints in the definition of the problem.
116 116
      LEQ
117 117
    };
118 118
    
119 119
    /// \brief Constants for selecting the pivot rule.
120 120
    ///
121 121
    /// Enum type containing constants for selecting the pivot rule for
122 122
    /// the \ref run() function.
123 123
    ///
124 124
    /// \ref NetworkSimplex provides five different pivot rule
125 125
    /// implementations that significantly affect the running time
126 126
    /// of the algorithm.
127
    /// By default \ref BLOCK_SEARCH "Block Search" is used, which
127
    /// By default, \ref BLOCK_SEARCH "Block Search" is used, which
128 128
    /// proved to be the most efficient and the most robust on various
129 129
    /// test inputs according to our benchmark tests.
130
    /// However another pivot rule can be selected using the \ref run()
130
    /// However, another pivot rule can be selected using the \ref run()
131 131
    /// function with the proper parameter.
132 132
    enum PivotRule {
133 133

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

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

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

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

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

	
164 164
    TEMPLATE_DIGRAPH_TYPEDEFS(GR);
165 165

	
166 166
    typedef std::vector<int> IntVector;
167 167
    typedef std::vector<bool> BoolVector;
168 168
    typedef std::vector<Value> ValueVector;
169 169
    typedef std::vector<Cost> CostVector;
170 170

	
171 171
    // State constants for arcs
172 172
    enum ArcStateEnum {
173 173
      STATE_UPPER = -1,
174 174
      STATE_TREE  =  0,
175 175
      STATE_LOWER =  1
176 176
    };
177 177

	
178 178
  private:
179 179

	
... ...
@@ -791,110 +791,110 @@
791 791
    /// with such a map in which \c k is assigned to \c s, \c -k is
792 792
    /// assigned to \c t and all other nodes have zero supply value.
793 793
    ///
794 794
    /// \param s The source node.
795 795
    /// \param t The target node.
796 796
    /// \param k The required amount of flow from node \c s to node \c t
797 797
    /// (i.e. the supply of \c s and the demand of \c t).
798 798
    ///
799 799
    /// \return <tt>(*this)</tt>
800 800
    NetworkSimplex& stSupply(const Node& s, const Node& t, Value k) {
801 801
      for (int i = 0; i != _node_num; ++i) {
802 802
        _supply[i] = 0;
803 803
      }
804 804
      _supply[_node_id[s]] =  k;
805 805
      _supply[_node_id[t]] = -k;
806 806
      return *this;
807 807
    }
808 808
    
809 809
    /// \brief Set the type of the supply constraints.
810 810
    ///
811 811
    /// This function sets the type of the supply/demand constraints.
812 812
    /// If it is not used before calling \ref run(), the \ref GEQ supply
813 813
    /// type will be used.
814 814
    ///
815
    /// For more information see \ref SupplyType.
815
    /// For more information, see \ref SupplyType.
816 816
    ///
817 817
    /// \return <tt>(*this)</tt>
818 818
    NetworkSimplex& supplyType(SupplyType supply_type) {
819 819
      _stype = supply_type;
820 820
      return *this;
821 821
    }
822 822

	
823 823
    /// @}
824 824

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

	
828 828
    /// @{
829 829

	
830 830
    /// \brief Run the algorithm.
831 831
    ///
832 832
    /// This function runs the algorithm.
833 833
    /// The paramters can be specified using functions \ref lowerMap(),
834 834
    /// \ref upperMap(), \ref costMap(), \ref supplyMap(), \ref stSupply(), 
835 835
    /// \ref supplyType().
836 836
    /// For example,
837 837
    /// \code
838 838
    ///   NetworkSimplex<ListDigraph> ns(graph);
839 839
    ///   ns.lowerMap(lower).upperMap(upper).costMap(cost)
840 840
    ///     .supplyMap(sup).run();
841 841
    /// \endcode
842 842
    ///
843 843
    /// This function can be called more than once. All the parameters
844 844
    /// that have been given are kept for the next call, unless
845 845
    /// \ref reset() is called, thus only the modified parameters
846 846
    /// have to be set again. See \ref reset() for examples.
847
    /// However the underlying digraph must not be modified after this
847
    /// However, the underlying digraph must not be modified after this
848 848
    /// class have been constructed, since it copies and extends the graph.
849 849
    ///
850 850
    /// \param pivot_rule The pivot rule that will be used during the
851
    /// algorithm. For more information see \ref PivotRule.
851
    /// algorithm. For more information, see \ref PivotRule.
852 852
    ///
853 853
    /// \return \c INFEASIBLE if no feasible flow exists,
854 854
    /// \n \c OPTIMAL if the problem has optimal solution
855 855
    /// (i.e. it is feasible and bounded), and the algorithm has found
856 856
    /// optimal flow and node potentials (primal and dual solutions),
857 857
    /// \n \c UNBOUNDED if the objective function of the problem is
858 858
    /// unbounded, i.e. there is a directed cycle having negative total
859 859
    /// cost and infinite upper bound.
860 860
    ///
861 861
    /// \see ProblemType, PivotRule
862 862
    ProblemType run(PivotRule pivot_rule = BLOCK_SEARCH) {
863 863
      if (!init()) return INFEASIBLE;
864 864
      return start(pivot_rule);
865 865
    }
866 866

	
867 867
    /// \brief Reset all the parameters that have been given before.
868 868
    ///
869 869
    /// This function resets all the paramaters that have been given
870 870
    /// before using functions \ref lowerMap(), \ref upperMap(),
871 871
    /// \ref costMap(), \ref supplyMap(), \ref stSupply(), \ref supplyType().
872 872
    ///
873 873
    /// It is useful for multiple run() calls. If this function is not
874 874
    /// used, all the parameters given before are kept for the next
875 875
    /// \ref run() call.
876
    /// However the underlying digraph must not be modified after this
876
    /// However, the underlying digraph must not be modified after this
877 877
    /// class have been constructed, since it copies and extends the graph.
878 878
    ///
879 879
    /// For example,
880 880
    /// \code
881 881
    ///   NetworkSimplex<ListDigraph> ns(graph);
882 882
    ///
883 883
    ///   // First run
884 884
    ///   ns.lowerMap(lower).upperMap(upper).costMap(cost)
885 885
    ///     .supplyMap(sup).run();
886 886
    ///
887 887
    ///   // Run again with modified cost map (reset() is not called,
888 888
    ///   // so only the cost map have to be set again)
889 889
    ///   cost[e] += 100;
890 890
    ///   ns.costMap(cost).run();
891 891
    ///
892 892
    ///   // Run again from scratch using reset()
893 893
    ///   // (the lower bounds will be set to zero on all arcs)
894 894
    ///   ns.reset();
895 895
    ///   ns.upperMap(capacity).costMap(cost)
896 896
    ///     .supplyMap(sup).run();
897 897
    /// \endcode
898 898
    ///
899 899
    /// \return <tt>(*this)</tt>
900 900
    NetworkSimplex& reset() {
Ignore white space 6 line context
... ...
@@ -244,49 +244,49 @@
244 244
    /// \sa SetStandardElevator
245 245
    template <typename T>
246 246
    struct SetElevator
247 247
      : public Preflow<Digraph, CapacityMap, SetElevatorTraits<T> > {
248 248
      typedef Preflow<Digraph, CapacityMap,
249 249
                      SetElevatorTraits<T> > Create;
250 250
    };
251 251

	
252 252
    template <typename T>
253 253
    struct SetStandardElevatorTraits : public Traits {
254 254
      typedef T Elevator;
255 255
      static Elevator *createElevator(const Digraph& digraph, int max_level) {
256 256
        return new Elevator(digraph, max_level);
257 257
      }
258 258
    };
259 259

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

	
280 280
    /// @}
281 281

	
282 282
  protected:
283 283

	
284 284
    Preflow() {}
285 285

	
286 286
  public:
287 287

	
288 288

	
289 289
    /// \brief The constructor of the class.
290 290
    ///
291 291
    /// The constructor of the class.
292 292
    /// \param digraph The digraph the algorithm runs on.
Ignore white space 6 line context
... ...
@@ -354,49 +354,49 @@
354 354
    ///equivalent of the following.
355 355
    ///\code
356 356
    ///  while(t.running()) t.stop()
357 357
    ///\endcode
358 358
    ///
359 359
    ///
360 360
    ///\sa stop()
361 361
    ///\sa restart()
362 362
    ///\sa reset()
363 363

	
364 364
    void halt()
365 365
    {
366 366
      if(_running) {
367 367
        _running=0;
368 368
        TimeStamp t;
369 369
        t.stamp();
370 370
        start_time=t-start_time;
371 371
      }
372 372
    }
373 373

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

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

	
384 384

	
385 385
    ///Restart the time counters
386 386

	
387 387
    ///This function is a shorthand for
388 388
    ///a reset() and a start() calls.
389 389
    ///
390 390
    void restart()
391 391
    {
392 392
      reset();
393 393
      start();
394 394
    }
395 395

	
396 396
    ///@}
397 397

	
398 398
    ///\name Query Functions for the Ellapsed Time
399 399

	
400 400
    ///@{
401 401

	
402 402
    ///Gives back the ellapsed user time of the process
Ignore white space 6 line context
... ...
@@ -22,49 +22,49 @@
22 22
//!\ingroup auxdat
23 23
//!\file
24 24
//!\brief Union-Find data structures.
25 25
//!
26 26

	
27 27
#include <vector>
28 28
#include <list>
29 29
#include <utility>
30 30
#include <algorithm>
31 31
#include <functional>
32 32

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

	
35 35
namespace lemon {
36 36

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

	
58 58
    ///\e
59 59
    typedef IM ItemIntMap;
60 60
    ///\e
61 61
    typedef typename ItemIntMap::Key Item;
62 62

	
63 63
  private:
64 64
    // If the items vector stores negative value for an item then
65 65
    // that item is root item and it has -items[it] component size.
66 66
    // Else the items[it] contains the index of the parent.
67 67
    std::vector<int> items;
68 68
    ItemIntMap& index;
69 69

	
70 70
    bool rep(int idx) const {
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