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1 1
/* -*- mode: C++; indent-tabs-mode: nil; -*-
2 2
 *
3 3
 * This file is a part of LEMON, a generic C++ optimization library.
4 4
 *
5 5
 * Copyright (C) 2003-2009
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
#ifndef LEMON_BIN_HEAP_H
20 20
#define LEMON_BIN_HEAP_H
21 21

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

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

	
30 30
namespace lemon {
31 31

	
32 32
  ///\ingroup auxdat
33 33
  ///
34 34
  ///\brief A Binary Heap implementation.
35 35
  ///
36 36
  ///This class implements the \e binary \e heap data structure. 
37 37
  /// 
38 38
  ///A \e heap is a data structure for storing items with specified values
39 39
  ///called \e priorities in such a way that finding the item with minimum
40 40
  ///priority is efficient. \c Comp specifies the ordering of the priorities.
41 41
  ///In a heap one can change the priority of an item, add or erase an
42 42
  ///item, etc.
43 43
  ///
44 44
  ///\tparam PR Type of the priority of the items.
45 45
  ///\tparam IM A read and writable item map with int values, used internally
46 46
  ///to handle the cross references.
47 47
  ///\tparam Comp A functor class for the ordering of the priorities.
48 48
  ///The default is \c std::less<PR>.
49 49
  ///
50 50
  ///\sa FibHeap
51 51
  ///\sa Dijkstra
52 52
  template <typename PR, typename IM, typename Comp = std::less<PR> >
53 53
  class BinHeap {
54 54

	
55 55
  public:
56 56
    ///\e
57 57
    typedef IM ItemIntMap;
58 58
    ///\e
59 59
    typedef PR Prio;
60 60
    ///\e
61 61
    typedef typename ItemIntMap::Key Item;
62 62
    ///\e
63 63
    typedef std::pair<Item,Prio> Pair;
64 64
    ///\e
65 65
    typedef Comp Compare;
66 66

	
67 67
    /// \brief Type to represent the items states.
68 68
    ///
69 69
    /// Each Item element have a state associated to it. It may be "in heap",
70 70
    /// "pre heap" or "post heap". The latter two are indifferent from the
71 71
    /// heap's point of view, but may be useful to the user.
72 72
    ///
73 73
    /// The item-int map must be initialized in such way that it assigns
74 74
    /// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap.
75 75
    enum State {
76
      IN_HEAP = 0,    ///< \e
77
      PRE_HEAP = -1,  ///< \e
78
      POST_HEAP = -2  ///< \e
76
      IN_HEAP = 0,    ///< = 0.
77
      PRE_HEAP = -1,  ///< = -1.
78
      POST_HEAP = -2  ///< = -2.
79 79
    };
80 80

	
81 81
  private:
82 82
    std::vector<Pair> _data;
83 83
    Compare _comp;
84 84
    ItemIntMap &_iim;
85 85

	
86 86
  public:
87 87
    /// \brief The constructor.
88 88
    ///
89 89
    /// The constructor.
90 90
    /// \param map should be given to the constructor, since it is used
91 91
    /// internally to handle the cross references. The value of the map
92 92
    /// must be \c PRE_HEAP (<tt>-1</tt>) for every item.
93 93
    explicit BinHeap(ItemIntMap &map) : _iim(map) {}
94 94

	
95 95
    /// \brief The constructor.
96 96
    ///
97 97
    /// The constructor.
98 98
    /// \param map should be given to the constructor, since it is used
99 99
    /// internally to handle the cross references. The value of the map
100 100
    /// should be PRE_HEAP (-1) for each element.
101 101
    ///
102 102
    /// \param comp The comparator function object.
103 103
    BinHeap(ItemIntMap &map, const Compare &comp)
104 104
      : _iim(map), _comp(comp) {}
105 105

	
106 106

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

	
112 112
    /// \brief Checks if the heap stores no items.
113 113
    ///
114 114
    /// Returns \c true if and only if the heap stores no items.
115 115
    bool empty() const { return _data.empty(); }
116 116

	
117 117
    /// \brief Make empty this heap.
118 118
    ///
119 119
    /// Make empty this heap. It does not change the cross reference map.
120 120
    /// If you want to reuse what is not surely empty you should first clear
121 121
    /// the heap and after that you should set the cross reference map for
122 122
    /// each item to \c PRE_HEAP.
123 123
    void clear() {
124 124
      _data.clear();
125 125
    }
126 126

	
127 127
  private:
128 128
    static int parent(int i) { return (i-1)/2; }
129 129

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

	
135 135
    int bubble_up(int hole, Pair p) {
136 136
      int par = parent(hole);
137 137
      while( hole>0 && less(p,_data[par]) ) {
138 138
        move(_data[par],hole);
139 139
        hole = par;
140 140
        par = parent(hole);
141 141
      }
142 142
      move(p, hole);
143 143
      return hole;
144 144
    }
145 145

	
146 146
    int bubble_down(int hole, Pair p, int length) {
147 147
      int child = second_child(hole);
148 148
      while(child < length) {
149 149
        if( less(_data[child-1], _data[child]) ) {
150 150
          --child;
151 151
        }
152 152
        if( !less(_data[child], p) )
153 153
          goto ok;
154 154
        move(_data[child], hole);
155 155
        hole = child;
156 156
        child = second_child(hole);
157 157
      }
158 158
      child--;
159 159
      if( child<length && less(_data[child], p) ) {
160 160
        move(_data[child], hole);
161 161
        hole=child;
162 162
      }
163 163
    ok:
164 164
      move(p, hole);
165 165
      return hole;
166 166
    }
167 167

	
168 168
    void move(const Pair &p, int i) {
169 169
      _data[i] = p;
170 170
      _iim.set(p.first, i);
171 171
    }
172 172

	
173 173
  public:
174 174
    /// \brief Insert a pair of item and priority into the heap.
175 175
    ///
176 176
    /// Adds \c p.first to the heap with priority \c p.second.
177 177
    /// \param p The pair to insert.
178 178
    void push(const Pair &p) {
179 179
      int n = _data.size();
180 180
      _data.resize(n+1);
181 181
      bubble_up(n, p);
182 182
    }
183 183

	
184 184
    /// \brief Insert an item into the heap with the given heap.
185 185
    ///
186 186
    /// Adds \c i to the heap with priority \c p.
187 187
    /// \param i The item to insert.
188 188
    /// \param p The priority of the item.
189 189
    void push(const Item &i, const Prio &p) { push(Pair(i,p)); }
190 190

	
191 191
    /// \brief Returns the item with minimum priority relative to \c Compare.
192 192
    ///
193 193
    /// This method returns the item with minimum priority relative to \c
194 194
    /// Compare.
195 195
    /// \pre The heap must be nonempty.
196 196
    Item top() const {
197 197
      return _data[0].first;
198 198
    }
199 199

	
200 200
    /// \brief Returns the minimum priority relative to \c Compare.
201 201
    ///
202 202
    /// It returns the minimum priority relative to \c Compare.
203 203
    /// \pre The heap must be nonempty.
204 204
    Prio prio() const {
205 205
      return _data[0].second;
206 206
    }
207 207

	
208 208
    /// \brief Deletes the item with minimum priority relative to \c Compare.
209 209
    ///
210 210
    /// This method deletes the item with minimum priority relative to \c
211 211
    /// Compare from the heap.
212 212
    /// \pre The heap must be non-empty.
213 213
    void pop() {
214 214
      int n = _data.size()-1;
215 215
      _iim.set(_data[0].first, POST_HEAP);
216 216
      if (n > 0) {
217 217
        bubble_down(0, _data[n], n);
218 218
      }
219 219
      _data.pop_back();
220 220
    }
221 221

	
222 222
    /// \brief Deletes \c i from the heap.
223 223
    ///
224 224
    /// This method deletes item \c i from the heap.
225 225
    /// \param i The item to erase.
226 226
    /// \pre The item should be in the heap.
227 227
    void erase(const Item &i) {
228 228
      int h = _iim[i];
229 229
      int n = _data.size()-1;
230 230
      _iim.set(_data[h].first, POST_HEAP);
231 231
      if( h < n ) {
232 232
        if ( bubble_up(h, _data[n]) == h) {
233 233
          bubble_down(h, _data[n], n);
234 234
        }
235 235
      }
236 236
      _data.pop_back();
237 237
    }
238 238

	
239 239

	
240 240
    /// \brief Returns the priority of \c i.
241 241
    ///
242 242
    /// This function returns the priority of item \c i.
243 243
    /// \param i The item.
244 244
    /// \pre \c i must be in the heap.
245 245
    Prio operator[](const Item &i) const {
246 246
      int idx = _iim[i];
247 247
      return _data[idx].second;
248 248
    }
249 249

	
250 250
    /// \brief \c i gets to the heap with priority \c p independently
251 251
    /// if \c i was already there.
252 252
    ///
253 253
    /// This method calls \ref push(\c i, \c p) if \c i is not stored
254 254
    /// in the heap and sets the priority of \c i to \c p otherwise.
255 255
    /// \param i The item.
256 256
    /// \param p The priority.
257 257
    void set(const Item &i, const Prio &p) {
258 258
      int idx = _iim[i];
259 259
      if( idx < 0 ) {
260 260
        push(i,p);
261 261
      }
262 262
      else if( _comp(p, _data[idx].second) ) {
263 263
        bubble_up(idx, Pair(i,p));
264 264
      }
265 265
      else {
266 266
        bubble_down(idx, Pair(i,p), _data.size());
267 267
      }
268 268
    }
269 269

	
270 270
    /// \brief Decreases the priority of \c i to \c p.
271 271
    ///
272 272
    /// This method decreases the priority of item \c i to \c p.
273 273
    /// \param i The item.
274 274
    /// \param p The priority.
275 275
    /// \pre \c i must be stored in the heap with priority at least \c
276 276
    /// p relative to \c Compare.
277 277
    void decrease(const Item &i, const Prio &p) {
278 278
      int idx = _iim[i];
279 279
      bubble_up(idx, Pair(i,p));
280 280
    }
281 281

	
282 282
    /// \brief Increases the priority of \c i to \c p.
283 283
    ///
284 284
    /// This method sets the priority of item \c i to \c p.
285 285
    /// \param i The item.
286 286
    /// \param p The priority.
287 287
    /// \pre \c i must be stored in the heap with priority at most \c
288 288
    /// p relative to \c Compare.
289 289
    void increase(const Item &i, const Prio &p) {
290 290
      int idx = _iim[i];
291 291
      bubble_down(idx, Pair(i,p), _data.size());
292 292
    }
293 293

	
294 294
    /// \brief Returns if \c item is in, has already been in, or has
295 295
    /// never been in the heap.
296 296
    ///
297 297
    /// This method returns PRE_HEAP if \c item has never been in the
298 298
    /// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP
299 299
    /// otherwise. In the latter case it is possible that \c item will
300 300
    /// get back to the heap again.
301 301
    /// \param i The item.
302 302
    State state(const Item &i) const {
303 303
      int s = _iim[i];
304 304
      if( s>=0 )
305 305
        s=0;
306 306
      return State(s);
307 307
    }
308 308

	
309 309
    /// \brief Sets the state of the \c item in the heap.
310 310
    ///
311 311
    /// Sets the state of the \c item in the heap. It can be used to
312 312
    /// manually clear the heap when it is important to achive the
313 313
    /// better time complexity.
314 314
    /// \param i The item.
315 315
    /// \param st The state. It should not be \c IN_HEAP.
316 316
    void state(const Item& i, State st) {
317 317
      switch (st) {
318 318
      case POST_HEAP:
319 319
      case PRE_HEAP:
320 320
        if (state(i) == IN_HEAP) {
321 321
          erase(i);
322 322
        }
323 323
        _iim[i] = st;
324 324
        break;
325 325
      case IN_HEAP:
326 326
        break;
327 327
      }
328 328
    }
329 329

	
330 330
    /// \brief Replaces an item in the heap.
331 331
    ///
332 332
    /// The \c i item is replaced with \c j item. The \c i item should
333 333
    /// be in the heap, while the \c j should be out of the heap. The
334 334
    /// \c i item will out of the heap and \c j will be in the heap
335 335
    /// with the same prioriority as prevoiusly the \c i item.
336 336
    void replace(const Item& i, const Item& j) {
337 337
      int idx = _iim[i];
338 338
      _iim.set(i, _iim[j]);
339 339
      _iim.set(j, idx);
340 340
      _data[idx].first = j;
341 341
    }
342 342

	
343 343
  }; // class BinHeap
344 344

	
345 345
} // namespace lemon
346 346

	
347 347
#endif // LEMON_BIN_HEAP_H
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 21
///\brief The concept 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'>
46 46
#endif
47 47
    class GraphItem {
48 48
    public:
49 49
      /// \brief Default constructor.
50 50
      ///
51 51
      /// Default constructor.
52 52
      /// \warning The default constructor is not required to set
53 53
      /// the item to some well-defined value. So you should consider it
54 54
      /// as uninitialized.
55 55
      GraphItem() {}
56 56

	
57 57
      /// \brief Copy constructor.
58 58
      ///
59 59
      /// Copy constructor.
60 60
      GraphItem(const GraphItem &) {}
61 61

	
62 62
      /// \brief Constructor for conversion from \c INVALID.
63 63
      ///
64 64
      /// Constructor for conversion from \c INVALID.
65 65
      /// It initializes the item to be invalid.
66 66
      /// \sa Invalid for more details.
67 67
      GraphItem(Invalid) {}
68 68

	
69 69
      /// \brief Assignment operator.
70 70
      ///
71 71
      /// Assignment operator for the item.
72 72
      GraphItem& operator=(const GraphItem&) { return *this; }
73 73

	
74 74
      /// \brief Equality operator.
75 75
      ///
76 76
      /// Equality operator.
77 77
      bool operator==(const GraphItem&) const { return false; }
78 78

	
79 79
      /// \brief Inequality operator.
80 80
      ///
81 81
      /// Inequality operator.
82 82
      bool operator!=(const GraphItem&) const { return false; }
83 83

	
84 84
      /// \brief Ordering operator.
85 85
      ///
86 86
      /// This operator defines an ordering of the items.
87 87
      /// It makes possible to use graph item types as key types in 
88 88
      /// associative containers (e.g. \c std::map).
89 89
      ///
90 90
      /// \note This operator only have to define some strict ordering of
91 91
      /// the items; this order has nothing to do with the iteration
92 92
      /// ordering of the items.
93 93
      bool operator<(const GraphItem&) const { return false; }
94 94

	
95 95
      template<typename _GraphItem>
96 96
      struct Constraints {
97 97
        void constraints() {
98 98
          _GraphItem i1;
99 99
          _GraphItem i2 = i1;
100 100
          _GraphItem i3 = INVALID;
101 101

	
102 102
          i1 = i2 = i3;
103 103

	
104 104
          bool b;
105 105
          b = (ia == ib) && (ia != ib);
106 106
          b = (ia == INVALID) && (ib != INVALID);
107 107
          b = (ia < ib);
108 108
        }
109 109

	
110 110
        const _GraphItem &ia;
111 111
        const _GraphItem &ib;
112 112
      };
113 113
    };
114 114

	
115 115
    /// \brief Base skeleton class for directed graphs.
116 116
    ///
117 117
    /// This class describes the base interface of directed graph types.
118 118
    /// All digraph %concepts have to conform to this class.
119 119
    /// It just provides types for nodes and arcs and functions 
120 120
    /// to get the source and the target nodes of arcs.
121 121
    class BaseDigraphComponent {
122 122
    public:
123 123

	
124 124
      typedef BaseDigraphComponent Digraph;
125 125

	
126 126
      /// \brief Node class of the digraph.
127 127
      ///
128 128
      /// This class represents the nodes of the digraph.
129 129
      typedef GraphItem<'n'> Node;
130 130

	
131 131
      /// \brief Arc class of the digraph.
132 132
      ///
133 133
      /// This class represents the arcs of the digraph.
134 134
      typedef GraphItem<'a'> Arc;
135 135

	
136 136
      /// \brief Return the source node of an arc.
137 137
      ///
138 138
      /// This function returns the source node of an arc.
139 139
      Node source(const Arc&) const { return INVALID; }
140 140

	
141 141
      /// \brief Return the target node of an arc.
142 142
      ///
143 143
      /// This function returns the target node of an arc.
144 144
      Node target(const Arc&) const { return INVALID; }
145 145

	
146 146
      /// \brief Return the opposite node on the given arc.
147 147
      ///
148 148
      /// This function returns the opposite node on the given arc.
149 149
      Node oppositeNode(const Node&, const Arc&) const {
150 150
        return INVALID;
151 151
      }
152 152

	
153 153
      template <typename _Digraph>
154 154
      struct Constraints {
155 155
        typedef typename _Digraph::Node Node;
156 156
        typedef typename _Digraph::Arc Arc;
157 157

	
158 158
        void constraints() {
159 159
          checkConcept<GraphItem<'n'>, Node>();
160 160
          checkConcept<GraphItem<'a'>, Arc>();
161 161
          {
162 162
            Node n;
163 163
            Arc e(INVALID);
164 164
            n = digraph.source(e);
165 165
            n = digraph.target(e);
166 166
            n = digraph.oppositeNode(n, e);
167 167
          }
168 168
        }
169 169

	
170 170
        const _Digraph& digraph;
171 171
      };
172 172
    };
173 173

	
174 174
    /// \brief Base skeleton class for undirected graphs.
175 175
    ///
176 176
    /// This class describes the base interface of undirected graph types.
177 177
    /// All graph %concepts have to conform to this class.
178 178
    /// It extends the interface of \ref BaseDigraphComponent with an
179 179
    /// \c Edge type and functions to get the end nodes of edges,
180 180
    /// to convert from arcs to edges and to get both direction of edges.
181 181
    class BaseGraphComponent : public BaseDigraphComponent {
182 182
    public:
183 183
      typedef BaseDigraphComponent::Node Node;
184 184
      typedef BaseDigraphComponent::Arc Arc;
185 185

	
186 186
      /// \brief Undirected edge class of the graph.
187 187
      ///
188 188
      /// This class represents the undirected edges of the graph.
189 189
      /// Undirected graphs can be used as directed graphs, each edge is
190 190
      /// represented by two opposite directed arcs.
191 191
      class Edge : public GraphItem<'e'> {
192 192
      public:
193 193
        typedef GraphItem<'e'> Parent;
194 194

	
195 195
        /// \brief Default constructor.
196 196
        ///
197 197
        /// Default constructor.
198 198
        /// \warning The default constructor is not required to set
199 199
        /// the item to some well-defined value. So you should consider it
200 200
        /// as uninitialized.
201 201
        Edge() {}
202 202

	
203 203
        /// \brief Copy constructor.
204 204
        ///
205 205
        /// Copy constructor.
206 206
        Edge(const Edge &) : Parent() {}
207 207

	
208 208
        /// \brief Constructor for conversion from \c INVALID.
209 209
        ///
210 210
        /// Constructor for conversion from \c INVALID.
211 211
        /// It initializes the item to be invalid.
212 212
        /// \sa Invalid for more details.
213 213
        Edge(Invalid) {}
214 214

	
215 215
        /// \brief Constructor for conversion from an arc.
216 216
        ///
217 217
        /// Constructor for conversion from an arc.
218 218
        /// Besides the core graph item functionality each arc should
219 219
        /// be convertible to the represented edge.
220 220
        Edge(const Arc&) {}
221 221

	
222 222
        /// \brief Assign an arc to an edge.
223 223
        ///
224 224
        /// This function assigns an arc to an edge.
225 225
        /// Besides the core graph item functionality each arc should
226 226
        /// be convertible to the represented edge.
227 227
        Edge& operator=(const Arc&) { return *this; }
228 228
      };
229 229

	
230 230
      /// \brief Return one end node of an edge.
231 231
      ///
232 232
      /// This function returns one end node of an edge.
233 233
      Node u(const Edge&) const { return INVALID; }
234 234

	
235 235
      /// \brief Return the other end node of an edge.
236 236
      ///
237 237
      /// This function returns the other end node of an edge.
238 238
      Node v(const Edge&) const { return INVALID; }
239 239

	
240 240
      /// \brief Return a directed arc related to an edge.
241 241
      ///
242 242
      /// This function returns a directed arc from its direction and the
243 243
      /// represented edge.
244 244
      Arc direct(const Edge&, bool) const { return INVALID; }
245 245

	
246 246
      /// \brief Return a directed arc related to an edge.
247 247
      ///
248 248
      /// This function returns a directed arc from its source node and the
249 249
      /// represented edge.
250 250
      Arc direct(const Edge&, const Node&) const { return INVALID; }
251 251

	
252 252
      /// \brief Return the direction of the arc.
253 253
      ///
254 254
      /// Returns the direction of the arc. Each arc represents an
255 255
      /// edge with a direction. It gives back the
256 256
      /// direction.
257 257
      bool direction(const Arc&) const { return true; }
258 258

	
259 259
      /// \brief Return the opposite arc.
260 260
      ///
261 261
      /// This function returns the opposite arc, i.e. the arc representing
262 262
      /// the same edge and has opposite direction.
263 263
      Arc oppositeArc(const Arc&) const { return INVALID; }
264 264

	
265 265
      template <typename _Graph>
266 266
      struct Constraints {
267 267
        typedef typename _Graph::Node Node;
268 268
        typedef typename _Graph::Arc Arc;
269 269
        typedef typename _Graph::Edge Edge;
270 270

	
271 271
        void constraints() {
272 272
          checkConcept<BaseDigraphComponent, _Graph>();
273 273
          checkConcept<GraphItem<'e'>, Edge>();
274 274
          {
275 275
            Node n;
276 276
            Edge ue(INVALID);
277 277
            Arc e;
278 278
            n = graph.u(ue);
279 279
            n = graph.v(ue);
280 280
            e = graph.direct(ue, true);
281 281
            e = graph.direct(ue, false);
282 282
            e = graph.direct(ue, n);
283 283
            e = graph.oppositeArc(e);
284 284
            ue = e;
285 285
            bool d = graph.direction(e);
286 286
            ignore_unused_variable_warning(d);
287 287
          }
288 288
        }
289 289

	
290 290
        const _Graph& graph;
291 291
      };
292 292

	
293 293
    };
294 294

	
295 295
    /// \brief Skeleton class for \e idable directed graphs.
296 296
    ///
297 297
    /// This class describes the interface of \e idable directed graphs.
298 298
    /// It extends \ref BaseDigraphComponent with the core ID functions.
299 299
    /// The ids of the items must be unique and immutable.
300 300
    /// This concept is part of the Digraph concept.
301 301
    template <typename BAS = BaseDigraphComponent>
302 302
    class IDableDigraphComponent : public BAS {
303 303
    public:
304 304

	
305 305
      typedef BAS Base;
306 306
      typedef typename Base::Node Node;
307 307
      typedef typename Base::Arc Arc;
308 308

	
309 309
      /// \brief Return a unique integer id for the given node.
310 310
      ///
311 311
      /// This function returns a unique integer id for the given node.
312 312
      int id(const Node&) const { return -1; }
313 313

	
314 314
      /// \brief Return the node by its unique id.
315 315
      ///
316 316
      /// This function returns the node by its unique id.
317 317
      /// If the digraph does not contain a node with the given id,
318 318
      /// then the result of the function is undefined.
319 319
      Node nodeFromId(int) const { return INVALID; }
320 320

	
321 321
      /// \brief Return a unique integer id for the given arc.
322 322
      ///
323 323
      /// This function returns a unique integer id for the given arc.
324 324
      int id(const Arc&) const { return -1; }
325 325

	
326 326
      /// \brief Return the arc by its unique id.
327 327
      ///
328 328
      /// This function returns the arc by its unique id.
329 329
      /// If the digraph does not contain an arc with the given id,
330 330
      /// then the result of the function is undefined.
331 331
      Arc arcFromId(int) const { return INVALID; }
332 332

	
333 333
      /// \brief Return an integer greater or equal to the maximum
334 334
      /// node id.
335 335
      ///
336 336
      /// This function returns an integer greater or equal to the
337 337
      /// maximum node id.
338 338
      int maxNodeId() const { return -1; }
339 339

	
340 340
      /// \brief Return an integer greater or equal to the maximum
341 341
      /// arc id.
342 342
      ///
343 343
      /// This function returns an integer greater or equal to the
344 344
      /// maximum arc id.
345 345
      int maxArcId() const { return -1; }
346 346

	
347 347
      template <typename _Digraph>
348 348
      struct Constraints {
349 349

	
350 350
        void constraints() {
351 351
          checkConcept<Base, _Digraph >();
352 352
          typename _Digraph::Node node;
353 353
          int nid = digraph.id(node);
354 354
          nid = digraph.id(node);
355 355
          node = digraph.nodeFromId(nid);
356 356
          typename _Digraph::Arc arc;
357 357
          int eid = digraph.id(arc);
358 358
          eid = digraph.id(arc);
359 359
          arc = digraph.arcFromId(eid);
360 360

	
361 361
          nid = digraph.maxNodeId();
362 362
          ignore_unused_variable_warning(nid);
363 363
          eid = digraph.maxArcId();
364 364
          ignore_unused_variable_warning(eid);
365 365
        }
366 366

	
367 367
        const _Digraph& digraph;
368 368
      };
369 369
    };
370 370

	
371 371
    /// \brief Skeleton class for \e idable undirected graphs.
372 372
    ///
373 373
    /// This class describes the interface of \e idable undirected
374 374
    /// graphs. It extends \ref IDableDigraphComponent with the core ID
375 375
    /// functions of undirected graphs.
376 376
    /// The ids of the items must be unique and immutable.
377 377
    /// This concept is part of the Graph concept.
378 378
    template <typename BAS = BaseGraphComponent>
379 379
    class IDableGraphComponent : public IDableDigraphComponent<BAS> {
380 380
    public:
381 381

	
382 382
      typedef BAS Base;
383 383
      typedef typename Base::Edge Edge;
384 384

	
385 385
      using IDableDigraphComponent<Base>::id;
386 386

	
387 387
      /// \brief Return a unique integer id for the given edge.
388 388
      ///
389 389
      /// This function returns a unique integer id for the given edge.
390 390
      int id(const Edge&) const { return -1; }
391 391

	
392 392
      /// \brief Return the edge by its unique id.
393 393
      ///
394 394
      /// This function returns the edge by its unique id.
395 395
      /// If the graph does not contain an edge with the given id,
396 396
      /// then the result of the function is undefined.
397 397
      Edge edgeFromId(int) const { return INVALID; }
398 398

	
399 399
      /// \brief Return an integer greater or equal to the maximum
400 400
      /// edge id.
401 401
      ///
402 402
      /// This function returns an integer greater or equal to the
403 403
      /// maximum edge id.
404 404
      int maxEdgeId() const { return -1; }
405 405

	
406 406
      template <typename _Graph>
407 407
      struct Constraints {
408 408

	
409 409
        void constraints() {
410 410
          checkConcept<IDableDigraphComponent<Base>, _Graph >();
411 411
          typename _Graph::Edge edge;
412 412
          int ueid = graph.id(edge);
413 413
          ueid = graph.id(edge);
414 414
          edge = graph.edgeFromId(ueid);
415 415
          ueid = graph.maxEdgeId();
416 416
          ignore_unused_variable_warning(ueid);
417 417
        }
418 418

	
419 419
        const _Graph& graph;
420 420
      };
421 421
    };
422 422

	
423 423
    /// \brief Concept class for \c NodeIt, \c ArcIt and \c EdgeIt types.
424 424
    ///
425 425
    /// This class describes the concept of \c NodeIt, \c ArcIt and 
426 426
    /// \c EdgeIt subtypes of digraph and graph types.
427 427
    template <typename GR, typename Item>
428 428
    class GraphItemIt : public Item {
429 429
    public:
430 430
      /// \brief Default constructor.
431 431
      ///
432 432
      /// Default constructor.
433 433
      /// \warning The default constructor is not required to set
434 434
      /// the iterator to some well-defined value. So you should consider it
435 435
      /// as uninitialized.
436 436
      GraphItemIt() {}
437 437

	
438 438
      /// \brief Copy constructor.
439 439
      ///
440 440
      /// Copy constructor.
441 441
      GraphItemIt(const GraphItemIt& it) : Item(it) {}
442 442

	
443 443
      /// \brief Constructor that sets the iterator to the first item.
444 444
      ///
445 445
      /// Constructor that sets the iterator to the first item.
446 446
      explicit GraphItemIt(const GR&) {}
447 447

	
448 448
      /// \brief Constructor for conversion from \c INVALID.
449 449
      ///
450 450
      /// Constructor for conversion from \c INVALID.
451 451
      /// It initializes the iterator to be invalid.
452 452
      /// \sa Invalid for more details.
453 453
      GraphItemIt(Invalid) {}
454 454

	
455 455
      /// \brief Assignment operator.
456 456
      ///
457 457
      /// Assignment operator for the iterator.
458 458
      GraphItemIt& operator=(const GraphItemIt&) { return *this; }
459 459

	
460 460
      /// \brief Increment the iterator.
461 461
      ///
462 462
      /// This operator increments the iterator, i.e. assigns it to the
463 463
      /// next item.
464 464
      GraphItemIt& operator++() { return *this; }
465 465
 
466 466
      /// \brief Equality operator
467 467
      ///
468 468
      /// Equality operator.
469 469
      /// Two iterators are equal if and only if they point to the
470 470
      /// same object or both are invalid.
471 471
      bool operator==(const GraphItemIt&) const { return true;}
472 472

	
473 473
      /// \brief Inequality operator
474 474
      ///
475 475
      /// Inequality operator.
476 476
      /// Two iterators are equal if and only if they point to the
477 477
      /// same object or both are invalid.
478 478
      bool operator!=(const GraphItemIt&) const { return true;}
479 479

	
480 480
      template<typename _GraphItemIt>
481 481
      struct Constraints {
482 482
        void constraints() {
483 483
          checkConcept<GraphItem<>, _GraphItemIt>();
484 484
          _GraphItemIt it1(g);
485 485
          _GraphItemIt it2;
486 486
          _GraphItemIt it3 = it1;
487 487
          _GraphItemIt it4 = INVALID;
488 488

	
489 489
          it2 = ++it1;
490 490
          ++it2 = it1;
491 491
          ++(++it1);
492 492

	
493 493
          Item bi = it1;
494 494
          bi = it2;
495 495
        }
496 496
        const GR& g;
497 497
      };
498 498
    };
499 499

	
500 500
    /// \brief Concept class for \c InArcIt, \c OutArcIt and 
501 501
    /// \c IncEdgeIt types.
502 502
    ///
503 503
    /// This class describes the concept of \c InArcIt, \c OutArcIt 
504 504
    /// and \c IncEdgeIt subtypes of digraph and graph types.
505 505
    ///
506 506
    /// \note Since these iterator classes do not inherit from the same
507 507
    /// base class, there is an additional template parameter (selector)
508 508
    /// \c sel. For \c InArcIt you should instantiate it with character 
509 509
    /// \c 'i', for \c OutArcIt with \c 'o' and for \c IncEdgeIt with \c 'e'.
510 510
    template <typename GR,
511 511
              typename Item = typename GR::Arc,
512 512
              typename Base = typename GR::Node,
513 513
              char sel = '0'>
514 514
    class GraphIncIt : public Item {
515 515
    public:
516 516
      /// \brief Default constructor.
517 517
      ///
518 518
      /// Default constructor.
519 519
      /// \warning The default constructor is not required to set
520 520
      /// the iterator to some well-defined value. So you should consider it
521 521
      /// as uninitialized.
522 522
      GraphIncIt() {}
523 523

	
524 524
      /// \brief Copy constructor.
525 525
      ///
526 526
      /// Copy constructor.
527 527
      GraphIncIt(const GraphIncIt& it) : Item(it) {}
528 528

	
529 529
      /// \brief Constructor that sets the iterator to the first 
530 530
      /// incoming or outgoing arc.
531 531
      ///
532 532
      /// Constructor that sets the iterator to the first arc 
533 533
      /// incoming to or outgoing from the given node.
534 534
      explicit GraphIncIt(const GR&, const Base&) {}
535 535

	
536 536
      /// \brief Constructor for conversion from \c INVALID.
537 537
      ///
538 538
      /// Constructor for conversion from \c INVALID.
539 539
      /// It initializes the iterator to be invalid.
540 540
      /// \sa Invalid for more details.
541 541
      GraphIncIt(Invalid) {}
542 542

	
543 543
      /// \brief Assignment operator.
544 544
      ///
545 545
      /// Assignment operator for the iterator.
546 546
      GraphIncIt& operator=(const GraphIncIt&) { return *this; }
547 547

	
548 548
      /// \brief Increment the iterator.
549 549
      ///
550 550
      /// This operator increments the iterator, i.e. assigns it to the
551 551
      /// next arc incoming to or outgoing from the given node.
552 552
      GraphIncIt& operator++() { return *this; }
553 553

	
554 554
      /// \brief Equality operator
555 555
      ///
556 556
      /// Equality operator.
557 557
      /// Two iterators are equal if and only if they point to the
558 558
      /// same object or both are invalid.
559 559
      bool operator==(const GraphIncIt&) const { return true;}
560 560

	
561 561
      /// \brief Inequality operator
562 562
      ///
563 563
      /// Inequality operator.
564 564
      /// Two iterators are equal if and only if they point to the
565 565
      /// same object or both are invalid.
566 566
      bool operator!=(const GraphIncIt&) const { return true;}
567 567

	
568 568
      template <typename _GraphIncIt>
569 569
      struct Constraints {
570 570
        void constraints() {
571 571
          checkConcept<GraphItem<sel>, _GraphIncIt>();
572 572
          _GraphIncIt it1(graph, node);
573 573
          _GraphIncIt it2;
574 574
          _GraphIncIt it3 = it1;
575 575
          _GraphIncIt it4 = INVALID;
576 576

	
577 577
          it2 = ++it1;
578 578
          ++it2 = it1;
579 579
          ++(++it1);
580 580
          Item e = it1;
581 581
          e = it2;
582 582
        }
583 583
        const Base& node;
584 584
        const GR& graph;
585 585
      };
586 586
    };
587 587

	
588 588
    /// \brief Skeleton class for iterable directed graphs.
589 589
    ///
590 590
    /// This class describes the interface of iterable directed
591 591
    /// graphs. It extends \ref BaseDigraphComponent with the core
592 592
    /// iterable interface.
593 593
    /// This concept is part of the Digraph concept.
594 594
    template <typename BAS = BaseDigraphComponent>
595 595
    class IterableDigraphComponent : public BAS {
596 596

	
597 597
    public:
598 598

	
599 599
      typedef BAS Base;
600 600
      typedef typename Base::Node Node;
601 601
      typedef typename Base::Arc Arc;
602 602

	
603 603
      typedef IterableDigraphComponent Digraph;
604 604

	
605
      /// \name Base iteration
605
      /// \name Base Iteration
606 606
      ///
607 607
      /// This interface provides functions for iteration on digraph items.
608 608
      ///
609 609
      /// @{
610 610

	
611 611
      /// \brief Return the first node.
612 612
      ///
613 613
      /// This function gives back the first node in the iteration order.
614 614
      void first(Node&) const {}
615 615

	
616 616
      /// \brief Return the next node.
617 617
      ///
618 618
      /// This function gives back the next node in the iteration order.
619 619
      void next(Node&) const {}
620 620

	
621 621
      /// \brief Return the first arc.
622 622
      ///
623 623
      /// This function gives back the first arc in the iteration order.
624 624
      void first(Arc&) const {}
625 625

	
626 626
      /// \brief Return the next arc.
627 627
      ///
628 628
      /// This function gives back the next arc in the iteration order.
629 629
      void next(Arc&) const {}
630 630

	
631 631
      /// \brief Return the first arc incomming to the given node.
632 632
      ///
633 633
      /// This function gives back the first arc incomming to the
634 634
      /// given node.
635 635
      void firstIn(Arc&, const Node&) const {}
636 636

	
637 637
      /// \brief Return the next arc incomming to the given node.
638 638
      ///
639 639
      /// This function gives back the next arc incomming to the
640 640
      /// given node.
641 641
      void nextIn(Arc&) const {}
642 642

	
643 643
      /// \brief Return the first arc outgoing form the given node.
644 644
      ///
645 645
      /// This function gives back the first arc outgoing form the
646 646
      /// given node.
647 647
      void firstOut(Arc&, const Node&) const {}
648 648

	
649 649
      /// \brief Return the next arc outgoing form the given node.
650 650
      ///
651 651
      /// This function gives back the next arc outgoing form the
652 652
      /// given node.
653 653
      void nextOut(Arc&) const {}
654 654

	
655 655
      /// @}
656 656

	
657
      /// \name Class based iteration
657
      /// \name Class Based Iteration
658 658
      ///
659 659
      /// This interface provides iterator classes for digraph items.
660 660
      ///
661 661
      /// @{
662 662

	
663 663
      /// \brief This iterator goes through each node.
664 664
      ///
665 665
      /// This iterator goes through each node.
666 666
      ///
667 667
      typedef GraphItemIt<Digraph, Node> NodeIt;
668 668

	
669 669
      /// \brief This iterator goes through each arc.
670 670
      ///
671 671
      /// This iterator goes through each arc.
672 672
      ///
673 673
      typedef GraphItemIt<Digraph, Arc> ArcIt;
674 674

	
675 675
      /// \brief This iterator goes trough the incoming arcs of a node.
676 676
      ///
677 677
      /// This iterator goes trough the \e incoming arcs of a certain node
678 678
      /// of a digraph.
679 679
      typedef GraphIncIt<Digraph, Arc, Node, 'i'> InArcIt;
680 680

	
681 681
      /// \brief This iterator goes trough the outgoing arcs of a node.
682 682
      ///
683 683
      /// This iterator goes trough the \e outgoing arcs of a certain node
684 684
      /// of a digraph.
685 685
      typedef GraphIncIt<Digraph, Arc, Node, 'o'> OutArcIt;
686 686

	
687 687
      /// \brief The base node of the iterator.
688 688
      ///
689 689
      /// This function gives back the base node of the iterator.
690 690
      /// It is always the target node of the pointed arc.
691 691
      Node baseNode(const InArcIt&) const { return INVALID; }
692 692

	
693 693
      /// \brief The running node of the iterator.
694 694
      ///
695 695
      /// This function gives back the running node of the iterator.
696 696
      /// It is always the source node of the pointed arc.
697 697
      Node runningNode(const InArcIt&) const { return INVALID; }
698 698

	
699 699
      /// \brief The base node of the iterator.
700 700
      ///
701 701
      /// This function gives back the base node of the iterator.
702 702
      /// It is always the source node of the pointed arc.
703 703
      Node baseNode(const OutArcIt&) const { return INVALID; }
704 704

	
705 705
      /// \brief The running node of the iterator.
706 706
      ///
707 707
      /// This function gives back the running node of the iterator.
708 708
      /// It is always the target node of the pointed arc.
709 709
      Node runningNode(const OutArcIt&) const { return INVALID; }
710 710

	
711 711
      /// @}
712 712

	
713 713
      template <typename _Digraph>
714 714
      struct Constraints {
715 715
        void constraints() {
716 716
          checkConcept<Base, _Digraph>();
717 717

	
718 718
          {
719 719
            typename _Digraph::Node node(INVALID);
720 720
            typename _Digraph::Arc arc(INVALID);
721 721
            {
722 722
              digraph.first(node);
723 723
              digraph.next(node);
724 724
            }
725 725
            {
726 726
              digraph.first(arc);
727 727
              digraph.next(arc);
728 728
            }
729 729
            {
730 730
              digraph.firstIn(arc, node);
731 731
              digraph.nextIn(arc);
732 732
            }
733 733
            {
734 734
              digraph.firstOut(arc, node);
735 735
              digraph.nextOut(arc);
736 736
            }
737 737
          }
738 738

	
739 739
          {
740 740
            checkConcept<GraphItemIt<_Digraph, typename _Digraph::Arc>,
741 741
              typename _Digraph::ArcIt >();
742 742
            checkConcept<GraphItemIt<_Digraph, typename _Digraph::Node>,
743 743
              typename _Digraph::NodeIt >();
744 744
            checkConcept<GraphIncIt<_Digraph, typename _Digraph::Arc,
745 745
              typename _Digraph::Node, 'i'>, typename _Digraph::InArcIt>();
746 746
            checkConcept<GraphIncIt<_Digraph, typename _Digraph::Arc,
747 747
              typename _Digraph::Node, 'o'>, typename _Digraph::OutArcIt>();
748 748

	
749 749
            typename _Digraph::Node n;
750 750
            const typename _Digraph::InArcIt iait(INVALID);
751 751
            const typename _Digraph::OutArcIt oait(INVALID);
752 752
            n = digraph.baseNode(iait);
753 753
            n = digraph.runningNode(iait);
754 754
            n = digraph.baseNode(oait);
755 755
            n = digraph.runningNode(oait);
756 756
            ignore_unused_variable_warning(n);
757 757
          }
758 758
        }
759 759

	
760 760
        const _Digraph& digraph;
761 761
      };
762 762
    };
763 763

	
764 764
    /// \brief Skeleton class for iterable undirected graphs.
765 765
    ///
766 766
    /// This class describes the interface of iterable undirected
767 767
    /// graphs. It extends \ref IterableDigraphComponent with the core
768 768
    /// iterable interface of undirected graphs.
769 769
    /// This concept is part of the Graph concept.
770 770
    template <typename BAS = BaseGraphComponent>
771 771
    class IterableGraphComponent : public IterableDigraphComponent<BAS> {
772 772
    public:
773 773

	
774 774
      typedef BAS Base;
775 775
      typedef typename Base::Node Node;
776 776
      typedef typename Base::Arc Arc;
777 777
      typedef typename Base::Edge Edge;
778 778

	
779 779

	
780 780
      typedef IterableGraphComponent Graph;
781 781

	
782
      /// \name Base iteration
782
      /// \name Base Iteration
783 783
      ///
784 784
      /// This interface provides functions for iteration on edges.
785 785
      ///
786 786
      /// @{
787 787

	
788 788
      using IterableDigraphComponent<Base>::first;
789 789
      using IterableDigraphComponent<Base>::next;
790 790

	
791 791
      /// \brief Return the first edge.
792 792
      ///
793 793
      /// This function gives back the first edge in the iteration order.
794 794
      void first(Edge&) const {}
795 795

	
796 796
      /// \brief Return the next edge.
797 797
      ///
798 798
      /// This function gives back the next edge in the iteration order.
799 799
      void next(Edge&) const {}
800 800

	
801 801
      /// \brief Return the first edge incident to the given node.
802 802
      ///
803 803
      /// This function gives back the first edge incident to the given 
804 804
      /// node. The bool parameter gives back the direction for which the
805 805
      /// source node of the directed arc representing the edge is the 
806 806
      /// given node.
807 807
      void firstInc(Edge&, bool&, const Node&) const {}
808 808

	
809 809
      /// \brief Gives back the next of the edges from the
810 810
      /// given node.
811 811
      ///
812 812
      /// This function gives back the next edge incident to the given 
813 813
      /// node. The bool parameter should be used as \c firstInc() use it.
814 814
      void nextInc(Edge&, bool&) const {}
815 815

	
816 816
      using IterableDigraphComponent<Base>::baseNode;
817 817
      using IterableDigraphComponent<Base>::runningNode;
818 818

	
819 819
      /// @}
820 820

	
821
      /// \name Class based iteration
821
      /// \name Class Based Iteration
822 822
      ///
823 823
      /// This interface provides iterator classes for edges.
824 824
      ///
825 825
      /// @{
826 826

	
827 827
      /// \brief This iterator goes through each edge.
828 828
      ///
829 829
      /// This iterator goes through each edge.
830 830
      typedef GraphItemIt<Graph, Edge> EdgeIt;
831 831

	
832 832
      /// \brief This iterator goes trough the incident edges of a
833 833
      /// node.
834 834
      ///
835 835
      /// This iterator goes trough the incident edges of a certain
836 836
      /// node of a graph.
837 837
      typedef GraphIncIt<Graph, Edge, Node, 'e'> IncEdgeIt;
838 838

	
839 839
      /// \brief The base node of the iterator.
840 840
      ///
841 841
      /// This function gives back the base node of the iterator.
842 842
      Node baseNode(const IncEdgeIt&) const { return INVALID; }
843 843

	
844 844
      /// \brief The running node of the iterator.
845 845
      ///
846 846
      /// This function gives back the running node of the iterator.
847 847
      Node runningNode(const IncEdgeIt&) const { return INVALID; }
848 848

	
849 849
      /// @}
850 850

	
851 851
      template <typename _Graph>
852 852
      struct Constraints {
853 853
        void constraints() {
854 854
          checkConcept<IterableDigraphComponent<Base>, _Graph>();
855 855

	
856 856
          {
857 857
            typename _Graph::Node node(INVALID);
858 858
            typename _Graph::Edge edge(INVALID);
859 859
            bool dir;
860 860
            {
861 861
              graph.first(edge);
862 862
              graph.next(edge);
863 863
            }
864 864
            {
865 865
              graph.firstInc(edge, dir, node);
866 866
              graph.nextInc(edge, dir);
867 867
            }
868 868

	
869 869
          }
870 870

	
871 871
          {
872 872
            checkConcept<GraphItemIt<_Graph, typename _Graph::Edge>,
873 873
              typename _Graph::EdgeIt >();
874 874
            checkConcept<GraphIncIt<_Graph, typename _Graph::Edge,
875 875
              typename _Graph::Node, 'e'>, typename _Graph::IncEdgeIt>();
876 876

	
877 877
            typename _Graph::Node n;
878 878
            const typename _Graph::IncEdgeIt ieit(INVALID);
879 879
            n = graph.baseNode(ieit);
880 880
            n = graph.runningNode(ieit);
881 881
          }
882 882
        }
883 883

	
884 884
        const _Graph& graph;
885 885
      };
886 886
    };
887 887

	
888 888
    /// \brief Skeleton class for alterable directed graphs.
889 889
    ///
890 890
    /// This class describes the interface of alterable directed
891 891
    /// graphs. It extends \ref BaseDigraphComponent with the alteration
892 892
    /// notifier interface. It implements
893 893
    /// an observer-notifier pattern for each digraph item. More
894 894
    /// obsevers can be registered into the notifier and whenever an
895 895
    /// alteration occured in the digraph all the observers will be
896 896
    /// notified about it.
897 897
    template <typename BAS = BaseDigraphComponent>
898 898
    class AlterableDigraphComponent : public BAS {
899 899
    public:
900 900

	
901 901
      typedef BAS Base;
902 902
      typedef typename Base::Node Node;
903 903
      typedef typename Base::Arc Arc;
904 904

	
905 905

	
906 906
      /// Node alteration notifier class.
907 907
      typedef AlterationNotifier<AlterableDigraphComponent, Node>
908 908
      NodeNotifier;
909 909
      /// Arc alteration notifier class.
910 910
      typedef AlterationNotifier<AlterableDigraphComponent, Arc>
911 911
      ArcNotifier;
912 912

	
913 913
      /// \brief Return the node alteration notifier.
914 914
      ///
915 915
      /// This function gives back the node alteration notifier.
916 916
      NodeNotifier& notifier(Node) const {
917 917
         return NodeNotifier();
918 918
      }
919 919

	
920 920
      /// \brief Return the arc alteration notifier.
921 921
      ///
922 922
      /// This function gives back the arc alteration notifier.
923 923
      ArcNotifier& notifier(Arc) const {
924 924
        return ArcNotifier();
925 925
      }
926 926

	
927 927
      template <typename _Digraph>
928 928
      struct Constraints {
929 929
        void constraints() {
930 930
          checkConcept<Base, _Digraph>();
931 931
          typename _Digraph::NodeNotifier& nn
932 932
            = digraph.notifier(typename _Digraph::Node());
933 933

	
934 934
          typename _Digraph::ArcNotifier& en
935 935
            = digraph.notifier(typename _Digraph::Arc());
936 936

	
937 937
          ignore_unused_variable_warning(nn);
938 938
          ignore_unused_variable_warning(en);
939 939
        }
940 940

	
941 941
        const _Digraph& digraph;
942 942
      };
943 943
    };
944 944

	
945 945
    /// \brief Skeleton class for alterable undirected graphs.
946 946
    ///
947 947
    /// This class describes the interface of alterable undirected
948 948
    /// graphs. It extends \ref AlterableDigraphComponent with the alteration
949 949
    /// notifier interface of undirected graphs. It implements
950 950
    /// an observer-notifier pattern for the edges. More
951 951
    /// obsevers can be registered into the notifier and whenever an
952 952
    /// alteration occured in the graph all the observers will be
953 953
    /// notified about it.
954 954
    template <typename BAS = BaseGraphComponent>
955 955
    class AlterableGraphComponent : public AlterableDigraphComponent<BAS> {
956 956
    public:
957 957

	
958 958
      typedef BAS Base;
959 959
      typedef typename Base::Edge Edge;
960 960

	
961 961

	
962 962
      /// Edge alteration notifier class.
963 963
      typedef AlterationNotifier<AlterableGraphComponent, Edge>
964 964
      EdgeNotifier;
965 965

	
966 966
      /// \brief Return the edge alteration notifier.
967 967
      ///
968 968
      /// This function gives back the edge alteration notifier.
969 969
      EdgeNotifier& notifier(Edge) const {
970 970
        return EdgeNotifier();
971 971
      }
972 972

	
973 973
      template <typename _Graph>
974 974
      struct Constraints {
975 975
        void constraints() {
976 976
          checkConcept<AlterableDigraphComponent<Base>, _Graph>();
977 977
          typename _Graph::EdgeNotifier& uen
978 978
            = graph.notifier(typename _Graph::Edge());
979 979
          ignore_unused_variable_warning(uen);
980 980
        }
981 981

	
982 982
        const _Graph& graph;
983 983
      };
984 984
    };
985 985

	
986 986
    /// \brief Concept class for standard graph maps.
987 987
    ///
988 988
    /// This class describes the concept of standard graph maps, i.e.
989 989
    /// the \c NodeMap, \c ArcMap and \c EdgeMap subtypes of digraph and 
990 990
    /// graph types, which can be used for associating data to graph items.
991 991
    /// The standard graph maps must conform to the ReferenceMap concept.
992 992
    template <typename GR, typename K, typename V>
993 993
    class GraphMap : public ReferenceMap<K, V, V&, const V&> {
994 994
    public:
995 995

	
996 996
      typedef ReadWriteMap<K, V> Parent;
997 997

	
998 998
      /// The graph type of the map.
999 999
      typedef GR Graph;
1000 1000
      /// The key type of the map.
1001 1001
      typedef K Key;
1002 1002
      /// The value type of the map.
1003 1003
      typedef V Value;
1004 1004
      /// The reference type of the map.
1005 1005
      typedef Value& Reference;
1006 1006
      /// The const reference type of the map.
1007 1007
      typedef const Value& ConstReference;
1008 1008

	
1009 1009
      // The reference map tag.
1010 1010
      typedef True ReferenceMapTag;
1011 1011

	
1012 1012
      /// \brief Construct a new map.
1013 1013
      ///
1014 1014
      /// Construct a new map for the graph.
1015 1015
      explicit GraphMap(const Graph&) {}
1016 1016
      /// \brief Construct a new map with default value.
1017 1017
      ///
1018 1018
      /// Construct a new map for the graph and initalize the values.
1019 1019
      GraphMap(const Graph&, const Value&) {}
1020 1020

	
1021 1021
    private:
1022 1022
      /// \brief Copy constructor.
1023 1023
      ///
1024 1024
      /// Copy Constructor.
1025 1025
      GraphMap(const GraphMap&) : Parent() {}
1026 1026

	
1027 1027
      /// \brief Assignment operator.
1028 1028
      ///
1029 1029
      /// Assignment operator. It does not mofify the underlying graph,
1030 1030
      /// it just iterates on the current item set and set the  map
1031 1031
      /// with the value returned by the assigned map.
1032 1032
      template <typename CMap>
1033 1033
      GraphMap& operator=(const CMap&) {
1034 1034
        checkConcept<ReadMap<Key, Value>, CMap>();
1035 1035
        return *this;
1036 1036
      }
1037 1037

	
1038 1038
    public:
1039 1039
      template<typename _Map>
1040 1040
      struct Constraints {
1041 1041
        void constraints() {
1042 1042
          checkConcept
1043 1043
            <ReferenceMap<Key, Value, Value&, const Value&>, _Map>();
1044 1044
          _Map m1(g);
1045 1045
          _Map m2(g,t);
1046 1046
          
1047 1047
          // Copy constructor
1048 1048
          // _Map m3(m);
1049 1049

	
1050 1050
          // Assignment operator
1051 1051
          // ReadMap<Key, Value> cmap;
1052 1052
          // m3 = cmap;
1053 1053

	
1054 1054
          ignore_unused_variable_warning(m1);
1055 1055
          ignore_unused_variable_warning(m2);
1056 1056
          // ignore_unused_variable_warning(m3);
1057 1057
        }
1058 1058

	
1059 1059
        const _Map &m;
1060 1060
        const Graph &g;
1061 1061
        const typename GraphMap::Value &t;
1062 1062
      };
1063 1063

	
1064 1064
    };
1065 1065

	
1066 1066
    /// \brief Skeleton class for mappable directed graphs.
1067 1067
    ///
1068 1068
    /// This class describes the interface of mappable directed graphs.
1069 1069
    /// It extends \ref BaseDigraphComponent with the standard digraph 
1070 1070
    /// map classes, namely \c NodeMap and \c ArcMap.
1071 1071
    /// This concept is part of the Digraph concept.
1072 1072
    template <typename BAS = BaseDigraphComponent>
1073 1073
    class MappableDigraphComponent : public BAS  {
1074 1074
    public:
1075 1075

	
1076 1076
      typedef BAS Base;
1077 1077
      typedef typename Base::Node Node;
1078 1078
      typedef typename Base::Arc Arc;
1079 1079

	
1080 1080
      typedef MappableDigraphComponent Digraph;
1081 1081

	
1082 1082
      /// \brief Standard graph map for the nodes.
1083 1083
      ///
1084 1084
      /// Standard graph map for the nodes.
1085 1085
      /// It conforms to the ReferenceMap concept.
1086 1086
      template <typename V>
1087 1087
      class NodeMap : public GraphMap<MappableDigraphComponent, Node, V> {
1088 1088
      public:
1089 1089
        typedef GraphMap<MappableDigraphComponent, Node, V> Parent;
1090 1090

	
1091 1091
        /// \brief Construct a new map.
1092 1092
        ///
1093 1093
        /// Construct a new map for the digraph.
1094 1094
        explicit NodeMap(const MappableDigraphComponent& digraph)
1095 1095
          : Parent(digraph) {}
1096 1096

	
1097 1097
        /// \brief Construct a new map with default value.
1098 1098
        ///
1099 1099
        /// Construct a new map for the digraph and initalize the values.
1100 1100
        NodeMap(const MappableDigraphComponent& digraph, const V& value)
1101 1101
          : Parent(digraph, value) {}
1102 1102

	
1103 1103
      private:
1104 1104
        /// \brief Copy constructor.
1105 1105
        ///
1106 1106
        /// Copy Constructor.
1107 1107
        NodeMap(const NodeMap& nm) : Parent(nm) {}
1108 1108

	
1109 1109
        /// \brief Assignment operator.
1110 1110
        ///
1111 1111
        /// Assignment operator.
1112 1112
        template <typename CMap>
1113 1113
        NodeMap& operator=(const CMap&) {
1114 1114
          checkConcept<ReadMap<Node, V>, CMap>();
1115 1115
          return *this;
1116 1116
        }
1117 1117

	
1118 1118
      };
1119 1119

	
1120 1120
      /// \brief Standard graph map for the arcs.
1121 1121
      ///
1122 1122
      /// Standard graph map for the arcs.
1123 1123
      /// It conforms to the ReferenceMap concept.
1124 1124
      template <typename V>
1125 1125
      class ArcMap : public GraphMap<MappableDigraphComponent, Arc, V> {
1126 1126
      public:
1127 1127
        typedef GraphMap<MappableDigraphComponent, Arc, V> Parent;
1128 1128

	
1129 1129
        /// \brief Construct a new map.
1130 1130
        ///
1131 1131
        /// Construct a new map for the digraph.
1132 1132
        explicit ArcMap(const MappableDigraphComponent& digraph)
1133 1133
          : Parent(digraph) {}
1134 1134

	
1135 1135
        /// \brief Construct a new map with default value.
1136 1136
        ///
1137 1137
        /// Construct a new map for the digraph and initalize the values.
1138 1138
        ArcMap(const MappableDigraphComponent& digraph, const V& value)
1139 1139
          : Parent(digraph, value) {}
1140 1140

	
1141 1141
      private:
1142 1142
        /// \brief Copy constructor.
1143 1143
        ///
1144 1144
        /// Copy Constructor.
1145 1145
        ArcMap(const ArcMap& nm) : Parent(nm) {}
1146 1146

	
1147 1147
        /// \brief Assignment operator.
1148 1148
        ///
1149 1149
        /// Assignment operator.
1150 1150
        template <typename CMap>
1151 1151
        ArcMap& operator=(const CMap&) {
1152 1152
          checkConcept<ReadMap<Arc, V>, CMap>();
1153 1153
          return *this;
1154 1154
        }
1155 1155

	
1156 1156
      };
1157 1157

	
1158 1158

	
1159 1159
      template <typename _Digraph>
1160 1160
      struct Constraints {
1161 1161

	
1162 1162
        struct Dummy {
1163 1163
          int value;
1164 1164
          Dummy() : value(0) {}
1165 1165
          Dummy(int _v) : value(_v) {}
1166 1166
        };
1167 1167

	
1168 1168
        void constraints() {
1169 1169
          checkConcept<Base, _Digraph>();
1170 1170
          { // int map test
1171 1171
            typedef typename _Digraph::template NodeMap<int> IntNodeMap;
1172 1172
            checkConcept<GraphMap<_Digraph, typename _Digraph::Node, int>,
1173 1173
              IntNodeMap >();
1174 1174
          } { // bool map test
1175 1175
            typedef typename _Digraph::template NodeMap<bool> BoolNodeMap;
1176 1176
            checkConcept<GraphMap<_Digraph, typename _Digraph::Node, bool>,
1177 1177
              BoolNodeMap >();
1178 1178
          } { // Dummy map test
1179 1179
            typedef typename _Digraph::template NodeMap<Dummy> DummyNodeMap;
1180 1180
            checkConcept<GraphMap<_Digraph, typename _Digraph::Node, Dummy>,
1181 1181
              DummyNodeMap >();
1182 1182
          }
1183 1183

	
1184 1184
          { // int map test
1185 1185
            typedef typename _Digraph::template ArcMap<int> IntArcMap;
1186 1186
            checkConcept<GraphMap<_Digraph, typename _Digraph::Arc, int>,
1187 1187
              IntArcMap >();
1188 1188
          } { // bool map test
1189 1189
            typedef typename _Digraph::template ArcMap<bool> BoolArcMap;
1190 1190
            checkConcept<GraphMap<_Digraph, typename _Digraph::Arc, bool>,
1191 1191
              BoolArcMap >();
1192 1192
          } { // Dummy map test
1193 1193
            typedef typename _Digraph::template ArcMap<Dummy> DummyArcMap;
1194 1194
            checkConcept<GraphMap<_Digraph, typename _Digraph::Arc, Dummy>,
1195 1195
              DummyArcMap >();
1196 1196
          }
1197 1197
        }
1198 1198

	
1199 1199
        const _Digraph& digraph;
1200 1200
      };
1201 1201
    };
1202 1202

	
1203 1203
    /// \brief Skeleton class for mappable undirected graphs.
1204 1204
    ///
1205 1205
    /// This class describes the interface of mappable undirected graphs.
1206 1206
    /// It extends \ref MappableDigraphComponent with the standard graph 
1207 1207
    /// map class for edges (\c EdgeMap).
1208 1208
    /// This concept is part of the Graph concept.
1209 1209
    template <typename BAS = BaseGraphComponent>
1210 1210
    class MappableGraphComponent : public MappableDigraphComponent<BAS>  {
1211 1211
    public:
1212 1212

	
1213 1213
      typedef BAS Base;
1214 1214
      typedef typename Base::Edge Edge;
1215 1215

	
1216 1216
      typedef MappableGraphComponent Graph;
1217 1217

	
1218 1218
      /// \brief Standard graph map for the edges.
1219 1219
      ///
1220 1220
      /// Standard graph map for the edges.
1221 1221
      /// It conforms to the ReferenceMap concept.
1222 1222
      template <typename V>
1223 1223
      class EdgeMap : public GraphMap<MappableGraphComponent, Edge, V> {
1224 1224
      public:
1225 1225
        typedef GraphMap<MappableGraphComponent, Edge, V> Parent;
1226 1226

	
1227 1227
        /// \brief Construct a new map.
1228 1228
        ///
1229 1229
        /// Construct a new map for the graph.
1230 1230
        explicit EdgeMap(const MappableGraphComponent& graph)
1231 1231
          : Parent(graph) {}
1232 1232

	
1233 1233
        /// \brief Construct a new map with default value.
1234 1234
        ///
1235 1235
        /// Construct a new map for the graph and initalize the values.
1236 1236
        EdgeMap(const MappableGraphComponent& graph, const V& value)
1237 1237
          : Parent(graph, value) {}
1238 1238

	
1239 1239
      private:
1240 1240
        /// \brief Copy constructor.
1241 1241
        ///
1242 1242
        /// Copy Constructor.
1243 1243
        EdgeMap(const EdgeMap& nm) : Parent(nm) {}
1244 1244

	
1245 1245
        /// \brief Assignment operator.
1246 1246
        ///
1247 1247
        /// Assignment operator.
1248 1248
        template <typename CMap>
1249 1249
        EdgeMap& operator=(const CMap&) {
1250 1250
          checkConcept<ReadMap<Edge, V>, CMap>();
1251 1251
          return *this;
1252 1252
        }
1253 1253

	
1254 1254
      };
1255 1255

	
1256 1256

	
1257 1257
      template <typename _Graph>
1258 1258
      struct Constraints {
1259 1259

	
1260 1260
        struct Dummy {
1261 1261
          int value;
1262 1262
          Dummy() : value(0) {}
1263 1263
          Dummy(int _v) : value(_v) {}
1264 1264
        };
1265 1265

	
1266 1266
        void constraints() {
1267 1267
          checkConcept<MappableDigraphComponent<Base>, _Graph>();
1268 1268

	
1269 1269
          { // int map test
1270 1270
            typedef typename _Graph::template EdgeMap<int> IntEdgeMap;
1271 1271
            checkConcept<GraphMap<_Graph, typename _Graph::Edge, int>,
1272 1272
              IntEdgeMap >();
1273 1273
          } { // bool map test
1274 1274
            typedef typename _Graph::template EdgeMap<bool> BoolEdgeMap;
1275 1275
            checkConcept<GraphMap<_Graph, typename _Graph::Edge, bool>,
1276 1276
              BoolEdgeMap >();
1277 1277
          } { // Dummy map test
1278 1278
            typedef typename _Graph::template EdgeMap<Dummy> DummyEdgeMap;
1279 1279
            checkConcept<GraphMap<_Graph, typename _Graph::Edge, Dummy>,
1280 1280
              DummyEdgeMap >();
1281 1281
          }
1282 1282
        }
1283 1283

	
1284 1284
        const _Graph& graph;
1285 1285
      };
1286 1286
    };
1287 1287

	
1288 1288
    /// \brief Skeleton class for extendable directed graphs.
1289 1289
    ///
1290 1290
    /// This class describes the interface of extendable directed graphs.
1291 1291
    /// It extends \ref BaseDigraphComponent with functions for adding 
1292 1292
    /// nodes and arcs to the digraph.
1293 1293
    /// This concept requires \ref AlterableDigraphComponent.
1294 1294
    template <typename BAS = BaseDigraphComponent>
1295 1295
    class ExtendableDigraphComponent : public BAS {
1296 1296
    public:
1297 1297
      typedef BAS Base;
1298 1298

	
1299 1299
      typedef typename Base::Node Node;
1300 1300
      typedef typename Base::Arc Arc;
1301 1301

	
1302 1302
      /// \brief Add a new node to the digraph.
1303 1303
      ///
1304 1304
      /// This function adds a new node to the digraph.
1305 1305
      Node addNode() {
1306 1306
        return INVALID;
1307 1307
      }
1308 1308

	
1309 1309
      /// \brief Add a new arc connecting the given two nodes.
1310 1310
      ///
1311 1311
      /// This function adds a new arc connecting the given two nodes
1312 1312
      /// of the digraph.
1313 1313
      Arc addArc(const Node&, const Node&) {
1314 1314
        return INVALID;
1315 1315
      }
1316 1316

	
1317 1317
      template <typename _Digraph>
1318 1318
      struct Constraints {
1319 1319
        void constraints() {
1320 1320
          checkConcept<Base, _Digraph>();
1321 1321
          typename _Digraph::Node node_a, node_b;
1322 1322
          node_a = digraph.addNode();
1323 1323
          node_b = digraph.addNode();
1324 1324
          typename _Digraph::Arc arc;
1325 1325
          arc = digraph.addArc(node_a, node_b);
1326 1326
        }
1327 1327

	
1328 1328
        _Digraph& digraph;
1329 1329
      };
1330 1330
    };
1331 1331

	
1332 1332
    /// \brief Skeleton class for extendable undirected graphs.
1333 1333
    ///
1334 1334
    /// This class describes the interface of extendable undirected graphs.
1335 1335
    /// It extends \ref BaseGraphComponent with functions for adding 
1336 1336
    /// nodes and edges to the graph.
1337 1337
    /// This concept requires \ref AlterableGraphComponent.
1338 1338
    template <typename BAS = BaseGraphComponent>
1339 1339
    class ExtendableGraphComponent : public BAS {
1340 1340
    public:
1341 1341

	
1342 1342
      typedef BAS Base;
1343 1343
      typedef typename Base::Node Node;
1344 1344
      typedef typename Base::Edge Edge;
1345 1345

	
1346 1346
      /// \brief Add a new node to the digraph.
1347 1347
      ///
1348 1348
      /// This function adds a new node to the digraph.
1349 1349
      Node addNode() {
1350 1350
        return INVALID;
1351 1351
      }
1352 1352

	
1353 1353
      /// \brief Add a new edge connecting the given two nodes.
1354 1354
      ///
1355 1355
      /// This function adds a new edge connecting the given two nodes
1356 1356
      /// of the graph.
1357 1357
      Edge addEdge(const Node&, const Node&) {
1358 1358
        return INVALID;
1359 1359
      }
1360 1360

	
1361 1361
      template <typename _Graph>
1362 1362
      struct Constraints {
1363 1363
        void constraints() {
1364 1364
          checkConcept<Base, _Graph>();
1365 1365
          typename _Graph::Node node_a, node_b;
1366 1366
          node_a = graph.addNode();
1367 1367
          node_b = graph.addNode();
1368 1368
          typename _Graph::Edge edge;
1369 1369
          edge = graph.addEdge(node_a, node_b);
1370 1370
        }
1371 1371

	
1372 1372
        _Graph& graph;
1373 1373
      };
1374 1374
    };
1375 1375

	
1376 1376
    /// \brief Skeleton class for erasable directed graphs.
1377 1377
    ///
1378 1378
    /// This class describes the interface of erasable directed graphs.
1379 1379
    /// It extends \ref BaseDigraphComponent with functions for removing 
1380 1380
    /// nodes and arcs from the digraph.
1381 1381
    /// This concept requires \ref AlterableDigraphComponent.
1382 1382
    template <typename BAS = BaseDigraphComponent>
1383 1383
    class ErasableDigraphComponent : public BAS {
1384 1384
    public:
1385 1385

	
1386 1386
      typedef BAS Base;
1387 1387
      typedef typename Base::Node Node;
1388 1388
      typedef typename Base::Arc Arc;
1389 1389

	
1390 1390
      /// \brief Erase a node from the digraph.
1391 1391
      ///
1392 1392
      /// This function erases the given node from the digraph and all arcs 
1393 1393
      /// connected to the node.
1394 1394
      void erase(const Node&) {}
1395 1395

	
1396 1396
      /// \brief Erase an arc from the digraph.
1397 1397
      ///
1398 1398
      /// This function erases the given arc from the digraph.
1399 1399
      void erase(const Arc&) {}
1400 1400

	
1401 1401
      template <typename _Digraph>
1402 1402
      struct Constraints {
1403 1403
        void constraints() {
1404 1404
          checkConcept<Base, _Digraph>();
1405 1405
          const typename _Digraph::Node node(INVALID);
1406 1406
          digraph.erase(node);
1407 1407
          const typename _Digraph::Arc arc(INVALID);
1408 1408
          digraph.erase(arc);
1409 1409
        }
1410 1410

	
1411 1411
        _Digraph& digraph;
1412 1412
      };
1413 1413
    };
1414 1414

	
1415 1415
    /// \brief Skeleton class for erasable undirected graphs.
1416 1416
    ///
1417 1417
    /// This class describes the interface of erasable undirected graphs.
1418 1418
    /// It extends \ref BaseGraphComponent with functions for removing 
1419 1419
    /// nodes and edges from the graph.
1420 1420
    /// This concept requires \ref AlterableGraphComponent.
1421 1421
    template <typename BAS = BaseGraphComponent>
1422 1422
    class ErasableGraphComponent : public BAS {
1423 1423
    public:
1424 1424

	
1425 1425
      typedef BAS Base;
1426 1426
      typedef typename Base::Node Node;
1427 1427
      typedef typename Base::Edge Edge;
1428 1428

	
1429 1429
      /// \brief Erase a node from the graph.
1430 1430
      ///
1431 1431
      /// This function erases the given node from the graph and all edges
1432 1432
      /// connected to the node.
1433 1433
      void erase(const Node&) {}
1434 1434

	
1435 1435
      /// \brief Erase an edge from the digraph.
1436 1436
      ///
1437 1437
      /// This function erases the given edge from the digraph.
1438 1438
      void erase(const Edge&) {}
1439 1439

	
1440 1440
      template <typename _Graph>
1441 1441
      struct Constraints {
1442 1442
        void constraints() {
1443 1443
          checkConcept<Base, _Graph>();
1444 1444
          const typename _Graph::Node node(INVALID);
1445 1445
          graph.erase(node);
1446 1446
          const typename _Graph::Edge edge(INVALID);
1447 1447
          graph.erase(edge);
1448 1448
        }
1449 1449

	
1450 1450
        _Graph& graph;
1451 1451
      };
1452 1452
    };
1453 1453

	
1454 1454
    /// \brief Skeleton class for clearable directed graphs.
1455 1455
    ///
1456 1456
    /// This class describes the interface of clearable directed graphs.
1457 1457
    /// It extends \ref BaseDigraphComponent with a function for clearing
1458 1458
    /// the digraph.
1459 1459
    /// This concept requires \ref AlterableDigraphComponent.
1460 1460
    template <typename BAS = BaseDigraphComponent>
1461 1461
    class ClearableDigraphComponent : public BAS {
1462 1462
    public:
1463 1463

	
1464 1464
      typedef BAS Base;
1465 1465

	
1466 1466
      /// \brief Erase all nodes and arcs from the digraph.
1467 1467
      ///
1468 1468
      /// This function erases all nodes and arcs from the digraph.
1469 1469
      void clear() {}
1470 1470

	
1471 1471
      template <typename _Digraph>
1472 1472
      struct Constraints {
1473 1473
        void constraints() {
1474 1474
          checkConcept<Base, _Digraph>();
1475 1475
          digraph.clear();
1476 1476
        }
1477 1477

	
1478 1478
        _Digraph& digraph;
1479 1479
      };
1480 1480
    };
1481 1481

	
1482 1482
    /// \brief Skeleton class for clearable undirected graphs.
1483 1483
    ///
1484 1484
    /// This class describes the interface of clearable undirected graphs.
1485 1485
    /// It extends \ref BaseGraphComponent with a function for clearing
1486 1486
    /// the graph.
1487 1487
    /// This concept requires \ref AlterableGraphComponent.
1488 1488
    template <typename BAS = BaseGraphComponent>
1489 1489
    class ClearableGraphComponent : public ClearableDigraphComponent<BAS> {
1490 1490
    public:
1491 1491

	
1492 1492
      typedef BAS Base;
1493 1493

	
1494 1494
      /// \brief Erase all nodes and edges from the graph.
1495 1495
      ///
1496 1496
      /// This function erases all nodes and edges from the graph.
1497 1497
      void clear() {}
1498 1498

	
1499 1499
      template <typename _Graph>
1500 1500
      struct Constraints {
1501 1501
        void constraints() {
1502 1502
          checkConcept<Base, _Graph>();
1503 1503
          graph.clear();
1504 1504
        }
1505 1505

	
1506 1506
        _Graph& graph;
1507 1507
      };
1508 1508
    };
1509 1509

	
1510 1510
  }
1511 1511

	
1512 1512
}
1513 1513

	
1514 1514
#endif
Ignore white space 6 line context
1 1
/* -*- mode: C++; indent-tabs-mode: nil; -*-
2 2
 *
3 3
 * This file is a part of LEMON, a generic C++ optimization library.
4 4
 *
5 5
 * Copyright (C) 2003-2009
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 21
///\brief The concept of heaps.
22 22

	
23 23
#ifndef LEMON_CONCEPTS_HEAP_H
24 24
#define LEMON_CONCEPTS_HEAP_H
25 25

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

	
29 29
namespace lemon {
30 30

	
31 31
  namespace concepts {
32 32

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

	
36 36
    /// \brief The heap concept.
37 37
    ///
38 38
    /// Concept class describing the main interface of heaps. A \e heap
39 39
    /// is a data structure for storing items with specified values called
40 40
    /// \e priorities in such a way that finding the item with minimum
41 41
    /// priority is efficient. In a heap one can change the priority of an
42 42
    /// item, add or erase an item, etc.
43 43
    ///
44 44
    /// \tparam PR Type of the priority of the items.
45 45
    /// \tparam IM A read and writable item map with int values, used
46 46
    /// internally to handle the cross references.
47 47
    /// \tparam Comp A functor class for the ordering of the priorities.
48 48
    /// The default is \c std::less<PR>.
49 49
#ifdef DOXYGEN
50 50
    template <typename PR, typename IM, typename Comp = std::less<PR> >
51 51
#else
52 52
    template <typename PR, typename IM>
53 53
#endif
54 54
    class Heap {
55 55
    public:
56 56

	
57 57
      /// Type of the item-int map.
58 58
      typedef IM ItemIntMap;
59 59
      /// Type of the priorities.
60 60
      typedef PR Prio;
61 61
      /// Type of the items stored in the heap.
62 62
      typedef typename ItemIntMap::Key Item;
63 63

	
64 64
      /// \brief Type to represent the states of the items.
65 65
      ///
66 66
      /// Each item has a state associated to it. It can be "in heap",
67 67
      /// "pre heap" or "post heap". The later two are indifferent
68 68
      /// from the point of view of the heap, but may be useful for
69 69
      /// the user.
70 70
      ///
71 71
      /// The item-int map must be initialized in such way that it assigns
72 72
      /// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap.
73 73
      enum State {
74
        IN_HEAP = 0,    ///< The "in heap" state constant.
75
        PRE_HEAP = -1,  ///< The "pre heap" state constant.
76
        POST_HEAP = -2  ///< The "post heap" state constant.
74
        IN_HEAP = 0,    ///< = 0. The "in heap" state constant.
75
        PRE_HEAP = -1,  ///< = -1. The "pre heap" state constant.
76
        POST_HEAP = -2  ///< = -2. The "post heap" state constant.
77 77
      };
78 78

	
79 79
      /// \brief The constructor.
80 80
      ///
81 81
      /// The constructor.
82 82
      /// \param map A map that assigns \c int values to keys of type
83 83
      /// \c Item. It is used internally by the heap implementations to
84 84
      /// handle the cross references. The assigned value must be
85 85
      /// \c PRE_HEAP (<tt>-1</tt>) for every item.
86 86
      explicit Heap(ItemIntMap &map) {}
87 87

	
88 88
      /// \brief The number of items stored in the heap.
89 89
      ///
90 90
      /// Returns the number of items stored in the heap.
91 91
      int size() const { return 0; }
92 92

	
93 93
      /// \brief Checks if the heap is empty.
94 94
      ///
95 95
      /// Returns \c true if the heap is empty.
96 96
      bool empty() const { return false; }
97 97

	
98 98
      /// \brief Makes the heap empty.
99 99
      ///
100 100
      /// Makes the heap empty.
101 101
      void clear();
102 102

	
103 103
      /// \brief Inserts an item into the heap with the given priority.
104 104
      ///
105 105
      /// Inserts the given item into the heap with the given priority.
106 106
      /// \param i The item to insert.
107 107
      /// \param p The priority of the item.
108 108
      void push(const Item &i, const Prio &p) {}
109 109

	
110 110
      /// \brief Returns the item having minimum priority.
111 111
      ///
112 112
      /// Returns the item having minimum priority.
113 113
      /// \pre The heap must be non-empty.
114 114
      Item top() const {}
115 115

	
116 116
      /// \brief The minimum priority.
117 117
      ///
118 118
      /// Returns the minimum priority.
119 119
      /// \pre The heap must be non-empty.
120 120
      Prio prio() const {}
121 121

	
122 122
      /// \brief Removes the item having minimum priority.
123 123
      ///
124 124
      /// Removes the item having minimum priority.
125 125
      /// \pre The heap must be non-empty.
126 126
      void pop() {}
127 127

	
128 128
      /// \brief Removes an item from the heap.
129 129
      ///
130 130
      /// Removes the given item from the heap if it is already stored.
131 131
      /// \param i The item to delete.
132 132
      void erase(const Item &i) {}
133 133

	
134 134
      /// \brief The priority of an item.
135 135
      ///
136 136
      /// Returns the priority of the given item.
137 137
      /// \param i The item.
138 138
      /// \pre \c i must be in the heap.
139 139
      Prio operator[](const Item &i) const {}
140 140

	
141 141
      /// \brief Sets the priority of an item or inserts it, if it is
142 142
      /// not stored in the heap.
143 143
      ///
144 144
      /// This method sets the priority of the given item if it is
145 145
      /// already stored in the heap.
146 146
      /// Otherwise it inserts the given item with the given priority.
147 147
      ///
148 148
      /// \param i The item.
149 149
      /// \param p The priority.
150 150
      void set(const Item &i, const Prio &p) {}
151 151

	
152 152
      /// \brief Decreases the priority of an item to the given value.
153 153
      ///
154 154
      /// Decreases the priority of an item to the given value.
155 155
      /// \param i The item.
156 156
      /// \param p The priority.
157 157
      /// \pre \c i must be stored in the heap with priority at least \c p.
158 158
      void decrease(const Item &i, const Prio &p) {}
159 159

	
160 160
      /// \brief Increases the priority of an item to the given value.
161 161
      ///
162 162
      /// Increases the priority of an item to the given value.
163 163
      /// \param i The item.
164 164
      /// \param p The priority.
165 165
      /// \pre \c i must be stored in the heap with priority at most \c p.
166 166
      void increase(const Item &i, const Prio &p) {}
167 167

	
168 168
      /// \brief Returns if an item is in, has already been in, or has
169 169
      /// never been in the heap.
170 170
      ///
171 171
      /// This method returns \c PRE_HEAP if the given item has never
172 172
      /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
173 173
      /// and \c POST_HEAP otherwise.
174 174
      /// In the latter case it is possible that the item will get back
175 175
      /// to the heap again.
176 176
      /// \param i The item.
177 177
      State state(const Item &i) const {}
178 178

	
179 179
      /// \brief Sets the state of an item in the heap.
180 180
      ///
181 181
      /// Sets the state of the given item in the heap. It can be used
182 182
      /// to manually clear the heap when it is important to achive the
183 183
      /// better time complexity.
184 184
      /// \param i The item.
185 185
      /// \param st The state. It should not be \c IN_HEAP.
186 186
      void state(const Item& i, State st) {}
187 187

	
188 188

	
189 189
      template <typename _Heap>
190 190
      struct Constraints {
191 191
      public:
192 192
        void constraints() {
193 193
          typedef typename _Heap::Item OwnItem;
194 194
          typedef typename _Heap::Prio OwnPrio;
195 195
          typedef typename _Heap::State OwnState;
196 196

	
197 197
          Item item;
198 198
          Prio prio;
199 199
          item=Item();
200 200
          prio=Prio();
201 201
          ignore_unused_variable_warning(item);
202 202
          ignore_unused_variable_warning(prio);
203 203

	
204 204
          OwnItem own_item;
205 205
          OwnPrio own_prio;
206 206
          OwnState own_state;
207 207
          own_item=Item();
208 208
          own_prio=Prio();
209 209
          ignore_unused_variable_warning(own_item);
210 210
          ignore_unused_variable_warning(own_prio);
211 211
          ignore_unused_variable_warning(own_state);
212 212

	
213 213
          _Heap heap1(map);
214 214
          _Heap heap2 = heap1;
215 215
          ignore_unused_variable_warning(heap1);
216 216
          ignore_unused_variable_warning(heap2);
217 217

	
218 218
          int s = heap.size();
219 219
          ignore_unused_variable_warning(s);
220 220
          bool e = heap.empty();
221 221
          ignore_unused_variable_warning(e);
222 222

	
223 223
          prio = heap.prio();
224 224
          item = heap.top();
225 225
          prio = heap[item];
226 226
          own_prio = heap.prio();
227 227
          own_item = heap.top();
228 228
          own_prio = heap[own_item];
229 229

	
230 230
          heap.push(item, prio);
231 231
          heap.push(own_item, own_prio);
232 232
          heap.pop();
233 233

	
234 234
          heap.set(item, prio);
235 235
          heap.decrease(item, prio);
236 236
          heap.increase(item, prio);
237 237
          heap.set(own_item, own_prio);
238 238
          heap.decrease(own_item, own_prio);
239 239
          heap.increase(own_item, own_prio);
240 240

	
241 241
          heap.erase(item);
242 242
          heap.erase(own_item);
243 243
          heap.clear();
244 244

	
245 245
          own_state = heap.state(own_item);
246 246
          heap.state(own_item, own_state);
247 247

	
248 248
          own_state = _Heap::PRE_HEAP;
249 249
          own_state = _Heap::IN_HEAP;
250 250
          own_state = _Heap::POST_HEAP;
251 251
        }
252 252

	
253 253
        _Heap& heap;
254 254
        ItemIntMap& map;
255 255
      };
256 256
    };
257 257

	
258 258
    /// @}
259 259
  } // namespace lemon
260 260
}
261 261
#endif
Ignore white space 6 line context
1 1
/* -*- mode: C++; indent-tabs-mode: nil; -*-
2 2
 *
3 3
 * This file is a part of LEMON, a generic C++ optimization library.
4 4
 *
5 5
 * Copyright (C) 2003-2009
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
#ifndef LEMON_DFS_H
20 20
#define LEMON_DFS_H
21 21

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

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

	
33 33
namespace lemon {
34 34

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

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

	
45 45
    ///\brief The type of the map that stores the predecessor
46 46
    ///arcs of the %DFS paths.
47 47
    ///
48 48
    ///The type of the map that stores the predecessor
49 49
    ///arcs of the %DFS paths.
50 50
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
51 51
    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
52 52
    ///Instantiates a \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 meet the \ref concepts::WriteMap "WriteMap" concept.
66 66
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
67 67
    ///Instantiates a \c ProcessedMap.
68 68

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

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

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

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

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

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

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

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

	
114 114
  ///\ingroup search
115 115
  ///This class provides an efficient implementation of the %DFS algorithm.
116 116
  ///
117 117
  ///There is also a \ref dfs() "function-type interface" for the DFS
118 118
  ///algorithm, which is convenient in the simplier cases and it can be
119 119
  ///used easier.
120 120
  ///
121 121
  ///\tparam GR The type of the digraph the algorithm runs on.
122 122
  ///The default type is \ref ListDigraph.
123 123
#ifdef DOXYGEN
124 124
  template <typename GR,
125 125
            typename TR>
126 126
#else
127 127
  template <typename GR=ListDigraph,
128 128
            typename TR=DfsDefaultTraits<GR> >
129 129
#endif
130 130
  class Dfs {
131 131
  public:
132 132

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

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

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

	
151 151
  private:
152 152

	
153 153
    typedef typename Digraph::Node Node;
154 154
    typedef typename Digraph::NodeIt NodeIt;
155 155
    typedef typename Digraph::Arc Arc;
156 156
    typedef typename Digraph::OutArcIt OutArcIt;
157 157

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

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

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

	
201 201
  protected:
202 202

	
203 203
    Dfs() {}
204 204

	
205 205
  public:
206 206

	
207 207
    typedef Dfs Create;
208 208

	
209
    ///\name Named template parameters
209
    ///\name Named Template Parameters
210 210

	
211 211
    ///@{
212 212

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

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

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

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

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

	
311 311
    ///@}
312 312

	
313 313
  public:
314 314

	
315 315
    ///Constructor.
316 316

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

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

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

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

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

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

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

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

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

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

	
409 409
  public:
410 410

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

	
420 420
    ///@{
421 421

	
422 422
    ///\brief Initializes the internal data structures.
423 423
    ///
424 424
    ///Initializes the internal data structures.
425 425
    void init()
426 426
    {
427 427
      create_maps();
428 428
      _stack.resize(countNodes(*G));
429 429
      _stack_head=-1;
430 430
      for ( NodeIt u(*G) ; u!=INVALID ; ++u ) {
431 431
        _pred->set(u,INVALID);
432 432
        _reached->set(u,false);
433 433
        _processed->set(u,false);
434 434
      }
435 435
    }
436 436

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

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

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

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

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

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

	
508 508
    ///Returns \c false if there are nodes to be processed.
509 509

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

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

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

	
520 520
    ///Executes the algorithm.
521 521

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

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

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

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

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

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

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

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

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

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

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

	
662 662
    ///@}
663 663

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

	
670 670
    ///@{
671 671

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

	
877 877
    /// Constructor.
878 878

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

	
886 886
  };
887 887

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

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

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

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

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

	
922 922
  public:
923 923

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

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

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

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

	
938 938
    ~DfsWizard() {}
939 939

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

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

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

	
963 963
    ///This method runs DFS algorithm from node \c s
964 964
    ///in order to compute the DFS path to node \c t
965 965
    ///(it stops searching when \c t is processed).
966 966
    ///
967 967
    ///\return \c true if \c t is reachable form \c s.
968 968
    bool run(Node s, Node t)
969 969
    {
970 970
      Dfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g));
971 971
      if (Base::_pred)
972 972
        alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
973 973
      if (Base::_dist)
974 974
        alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
975 975
      if (Base::_reached)
976 976
        alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached));
977 977
      if (Base::_processed)
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
#ifndef LEMON_DIJKSTRA_H
20 20
#define LEMON_DIJKSTRA_H
21 21

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

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

	
35 35
namespace lemon {
36 36

	
37 37
  /// \brief Default operation traits for the Dijkstra algorithm class.
38 38
  ///
39 39
  /// This operation traits class defines all computational operations and
40 40
  /// constants which are used in the Dijkstra algorithm.
41 41
  template <typename V>
42 42
  struct DijkstraDefaultOperationTraits {
43 43
    /// \e
44 44
    typedef V Value;
45 45
    /// \brief Gives back the zero value of the type.
46 46
    static Value zero() {
47 47
      return static_cast<Value>(0);
48 48
    }
49 49
    /// \brief Gives back the sum of the given two elements.
50 50
    static Value plus(const Value& left, const Value& right) {
51 51
      return left + right;
52 52
    }
53 53
    /// \brief Gives back true only if the first value is less than the second.
54 54
    static bool less(const Value& left, const Value& right) {
55 55
      return left < right;
56 56
    }
57 57
  };
58 58

	
59 59
  ///Default traits class of Dijkstra class.
60 60

	
61 61
  ///Default traits class of Dijkstra class.
62 62
  ///\tparam GR The type of the digraph.
63 63
  ///\tparam LEN The type of the length map.
64 64
  template<typename GR, typename LEN>
65 65
  struct DijkstraDefaultTraits
66 66
  {
67 67
    ///The type of the digraph the algorithm runs on.
68 68
    typedef GR Digraph;
69 69

	
70 70
    ///The type of the map that stores the arc lengths.
71 71

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

	
78 78
    /// Operation traits for %Dijkstra algorithm.
79 79

	
80 80
    /// This class defines the operations that are used in the algorithm.
81 81
    /// \see DijkstraDefaultOperationTraits
82 82
    typedef DijkstraDefaultOperationTraits<Value> OperationTraits;
83 83

	
84 84
    /// The cross reference type used by the heap.
85 85

	
86 86
    /// The cross reference type used by the heap.
87 87
    /// Usually it is \c Digraph::NodeMap<int>.
88 88
    typedef typename Digraph::template NodeMap<int> HeapCrossRef;
89 89
    ///Instantiates a \c HeapCrossRef.
90 90

	
91 91
    ///This function instantiates a \ref HeapCrossRef.
92 92
    /// \param g is the digraph, to which we would like to define the
93 93
    /// \ref HeapCrossRef.
94 94
    static HeapCrossRef *createHeapCrossRef(const Digraph &g)
95 95
    {
96 96
      return new HeapCrossRef(g);
97 97
    }
98 98

	
99 99
    ///The heap type used by the %Dijkstra algorithm.
100 100

	
101 101
    ///The heap type used by the Dijkstra algorithm.
102 102
    ///
103 103
    ///\sa BinHeap
104 104
    ///\sa Dijkstra
105 105
    typedef BinHeap<typename LEN::Value, HeapCrossRef, std::less<Value> > Heap;
106 106
    ///Instantiates a \c Heap.
107 107

	
108 108
    ///This function instantiates a \ref Heap.
109 109
    static Heap *createHeap(HeapCrossRef& r)
110 110
    {
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 meet 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 meet the \ref concepts::WriteMap "WriteMap" concept.
135 135
    ///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 meet 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
160 160
    ///the \ref DistMap.
161 161
    static DistMap *createDistMap(const Digraph &g)
162 162
    {
163 163
      return new DistMap(g);
164 164
    }
165 165
  };
166 166

	
167 167
  ///%Dijkstra algorithm class.
168 168

	
169 169
  /// \ingroup shortest_path
170 170
  ///This class provides an efficient implementation of the %Dijkstra algorithm.
171 171
  ///
172 172
  ///The arc lengths are passed to the algorithm using a
173 173
  ///\ref concepts::ReadMap "ReadMap",
174 174
  ///so it is easy to change it to any kind of length.
175 175
  ///The type of the length is determined by the
176 176
  ///\ref concepts::ReadMap::Value "Value" of the length map.
177 177
  ///It is also possible to change the underlying priority heap.
178 178
  ///
179 179
  ///There is also a \ref dijkstra() "function-type interface" for the
180 180
  ///%Dijkstra algorithm, which is convenient in the simplier cases and
181 181
  ///it can be used easier.
182 182
  ///
183 183
  ///\tparam GR The type of the digraph the algorithm runs on.
184 184
  ///The default type is \ref ListDigraph.
185 185
  ///\tparam LEN A \ref concepts::ReadMap "readable" arc map that specifies
186 186
  ///the lengths of the arcs.
187 187
  ///It is read once for each arc, so the map may involve in
188 188
  ///relatively time consuming process to compute the arc lengths if
189 189
  ///it is necessary. The default map type is \ref
190 190
  ///concepts::Digraph::ArcMap "GR::ArcMap<int>".
191 191
#ifdef DOXYGEN
192 192
  template <typename GR, typename LEN, typename TR>
193 193
#else
194 194
  template <typename GR=ListDigraph,
195 195
            typename LEN=typename GR::template ArcMap<int>,
196 196
            typename TR=DijkstraDefaultTraits<GR,LEN> >
197 197
#endif
198 198
  class Dijkstra {
199 199
  public:
200 200

	
201 201
    ///The type of the digraph the algorithm runs on.
202 202
    typedef typename TR::Digraph Digraph;
203 203

	
204 204
    ///The type of the length of the arcs.
205 205
    typedef typename TR::LengthMap::Value Value;
206 206
    ///The type of the map that stores the arc lengths.
207 207
    typedef typename TR::LengthMap LengthMap;
208 208
    ///\brief The type of the map that stores the predecessor arcs of the
209 209
    ///shortest paths.
210 210
    typedef typename TR::PredMap PredMap;
211 211
    ///The type of the map that stores the distances of the nodes.
212 212
    typedef typename TR::DistMap DistMap;
213 213
    ///The type of the map that indicates which nodes are processed.
214 214
    typedef typename TR::ProcessedMap ProcessedMap;
215 215
    ///The type of the paths.
216 216
    typedef PredMapPath<Digraph, PredMap> Path;
217 217
    ///The cross reference type used for the current heap.
218 218
    typedef typename TR::HeapCrossRef HeapCrossRef;
219 219
    ///The heap type used by the algorithm.
220 220
    typedef typename TR::Heap Heap;
221 221
    ///\brief The \ref DijkstraDefaultOperationTraits "operation traits class"
222 222
    ///of the algorithm.
223 223
    typedef typename TR::OperationTraits OperationTraits;
224 224

	
225 225
    ///The \ref DijkstraDefaultTraits "traits class" of the algorithm.
226 226
    typedef TR Traits;
227 227

	
228 228
  private:
229 229

	
230 230
    typedef typename Digraph::Node Node;
231 231
    typedef typename Digraph::NodeIt NodeIt;
232 232
    typedef typename Digraph::Arc Arc;
233 233
    typedef typename Digraph::OutArcIt OutArcIt;
234 234

	
235 235
    //Pointer to the underlying digraph.
236 236
    const Digraph *G;
237 237
    //Pointer to the length map.
238 238
    const LengthMap *_length;
239 239
    //Pointer to the map of predecessors arcs.
240 240
    PredMap *_pred;
241 241
    //Indicates if _pred is locally allocated (true) or not.
242 242
    bool local_pred;
243 243
    //Pointer to the map of distances.
244 244
    DistMap *_dist;
245 245
    //Indicates if _dist is locally allocated (true) or not.
246 246
    bool local_dist;
247 247
    //Pointer to the map of processed status of the nodes.
248 248
    ProcessedMap *_processed;
249 249
    //Indicates if _processed is locally allocated (true) or not.
250 250
    bool local_processed;
251 251
    //Pointer to the heap cross references.
252 252
    HeapCrossRef *_heap_cross_ref;
253 253
    //Indicates if _heap_cross_ref is locally allocated (true) or not.
254 254
    bool local_heap_cross_ref;
255 255
    //Pointer to the heap.
256 256
    Heap *_heap;
257 257
    //Indicates if _heap is locally allocated (true) or not.
258 258
    bool local_heap;
259 259

	
260 260
    //Creates the maps if necessary.
261 261
    void create_maps()
262 262
    {
263 263
      if(!_pred) {
264 264
        local_pred = true;
265 265
        _pred = Traits::createPredMap(*G);
266 266
      }
267 267
      if(!_dist) {
268 268
        local_dist = true;
269 269
        _dist = Traits::createDistMap(*G);
270 270
      }
271 271
      if(!_processed) {
272 272
        local_processed = true;
273 273
        _processed = Traits::createProcessedMap(*G);
274 274
      }
275 275
      if (!_heap_cross_ref) {
276 276
        local_heap_cross_ref = true;
277 277
        _heap_cross_ref = Traits::createHeapCrossRef(*G);
278 278
      }
279 279
      if (!_heap) {
280 280
        local_heap = true;
281 281
        _heap = Traits::createHeap(*_heap_cross_ref);
282 282
      }
283 283
    }
284 284

	
285 285
  public:
286 286

	
287 287
    typedef Dijkstra Create;
288 288

	
289
    ///\name Named template parameters
289
    ///\name Named Template Parameters
290 290

	
291 291
    ///@{
292 292

	
293 293
    template <class T>
294 294
    struct SetPredMapTraits : public Traits {
295 295
      typedef T PredMap;
296 296
      static PredMap *createPredMap(const Digraph &)
297 297
      {
298 298
        LEMON_ASSERT(false, "PredMap is not initialized");
299 299
        return 0; // ignore warnings
300 300
      }
301 301
    };
302 302
    ///\brief \ref named-templ-param "Named parameter" for setting
303 303
    ///\c PredMap type.
304 304
    ///
305 305
    ///\ref named-templ-param "Named parameter" for setting
306 306
    ///\c PredMap type.
307 307
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
308 308
    template <class T>
309 309
    struct SetPredMap
310 310
      : public Dijkstra< Digraph, LengthMap, SetPredMapTraits<T> > {
311 311
      typedef Dijkstra< Digraph, LengthMap, SetPredMapTraits<T> > Create;
312 312
    };
313 313

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

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

	
356 356
    struct SetStandardProcessedMapTraits : public Traits {
357 357
      typedef typename Digraph::template NodeMap<bool> ProcessedMap;
358 358
      static ProcessedMap *createProcessedMap(const Digraph &g)
359 359
      {
360 360
        return new ProcessedMap(g);
361 361
      }
362 362
    };
363 363
    ///\brief \ref named-templ-param "Named parameter" for setting
364 364
    ///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
365 365
    ///
366 366
    ///\ref named-templ-param "Named parameter" for setting
367 367
    ///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
368 368
    ///If you don't set it explicitly, it will be automatically allocated.
369 369
    struct SetStandardProcessedMap
370 370
      : public Dijkstra< Digraph, LengthMap, SetStandardProcessedMapTraits > {
371 371
      typedef Dijkstra< Digraph, LengthMap, SetStandardProcessedMapTraits >
372 372
      Create;
373 373
    };
374 374

	
375 375
    template <class H, class CR>
376 376
    struct SetHeapTraits : public Traits {
377 377
      typedef CR HeapCrossRef;
378 378
      typedef H Heap;
379 379
      static HeapCrossRef *createHeapCrossRef(const Digraph &) {
380 380
        LEMON_ASSERT(false, "HeapCrossRef is not initialized");
381 381
        return 0; // ignore warnings
382 382
      }
383 383
      static Heap *createHeap(HeapCrossRef &)
384 384
      {
385 385
        LEMON_ASSERT(false, "Heap is not initialized");
386 386
        return 0; // ignore warnings
387 387
      }
388 388
    };
389 389
    ///\brief \ref named-templ-param "Named parameter" for setting
390 390
    ///heap and cross reference types
391 391
    ///
392 392
    ///\ref named-templ-param "Named parameter" for setting heap and cross
393 393
    ///reference types. If this named parameter is used, then external
394 394
    ///heap and cross reference objects must be passed to the algorithm
395 395
    ///using the \ref heap() function before calling \ref run(Node) "run()"
396 396
    ///or \ref init().
397 397
    ///\sa SetStandardHeap
398 398
    template <class H, class CR = typename Digraph::template NodeMap<int> >
399 399
    struct SetHeap
400 400
      : public Dijkstra< Digraph, LengthMap, SetHeapTraits<H, CR> > {
401 401
      typedef Dijkstra< Digraph, LengthMap, SetHeapTraits<H, CR> > Create;
402 402
    };
403 403

	
404 404
    template <class H, class CR>
405 405
    struct SetStandardHeapTraits : public Traits {
406 406
      typedef CR HeapCrossRef;
407 407
      typedef H Heap;
408 408
      static HeapCrossRef *createHeapCrossRef(const Digraph &G) {
409 409
        return new HeapCrossRef(G);
410 410
      }
411 411
      static Heap *createHeap(HeapCrossRef &R)
412 412
      {
413 413
        return new Heap(R);
414 414
      }
415 415
    };
416 416
    ///\brief \ref named-templ-param "Named parameter" for setting
417 417
    ///heap and cross reference types with automatic allocation
418 418
    ///
419 419
    ///\ref named-templ-param "Named parameter" for setting heap and cross
420 420
    ///reference types with automatic allocation.
421 421
    ///They should have standard constructor interfaces to be able to
422 422
    ///automatically created by the algorithm (i.e. the digraph should be
423 423
    ///passed to the constructor of the cross reference and the cross
424 424
    ///reference should be passed to the constructor of the heap).
425 425
    ///However external heap and cross reference objects could also be
426 426
    ///passed to the algorithm using the \ref heap() function before
427 427
    ///calling \ref run(Node) "run()" or \ref init().
428 428
    ///\sa SetHeap
429 429
    template <class H, class CR = typename Digraph::template NodeMap<int> >
430 430
    struct SetStandardHeap
431 431
      : public Dijkstra< Digraph, LengthMap, SetStandardHeapTraits<H, CR> > {
432 432
      typedef Dijkstra< Digraph, LengthMap, SetStandardHeapTraits<H, CR> >
433 433
      Create;
434 434
    };
435 435

	
436 436
    template <class T>
437 437
    struct SetOperationTraitsTraits : public Traits {
438 438
      typedef T OperationTraits;
439 439
    };
440 440

	
441 441
    /// \brief \ref named-templ-param "Named parameter" for setting
442 442
    ///\c OperationTraits type
443 443
    ///
444 444
    ///\ref named-templ-param "Named parameter" for setting
445 445
    ///\c OperationTraits type.
446 446
    template <class T>
447 447
    struct SetOperationTraits
448 448
      : public Dijkstra<Digraph, LengthMap, SetOperationTraitsTraits<T> > {
449 449
      typedef Dijkstra<Digraph, LengthMap, SetOperationTraitsTraits<T> >
450 450
      Create;
451 451
    };
452 452

	
453 453
    ///@}
454 454

	
455 455
  protected:
456 456

	
457 457
    Dijkstra() {}
458 458

	
459 459
  public:
460 460

	
461 461
    ///Constructor.
462 462

	
463 463
    ///Constructor.
464 464
    ///\param g The digraph the algorithm runs on.
465 465
    ///\param length The length map used by the algorithm.
466 466
    Dijkstra(const Digraph& g, const LengthMap& length) :
467 467
      G(&g), _length(&length),
468 468
      _pred(NULL), local_pred(false),
469 469
      _dist(NULL), local_dist(false),
470 470
      _processed(NULL), local_processed(false),
471 471
      _heap_cross_ref(NULL), local_heap_cross_ref(false),
472 472
      _heap(NULL), local_heap(false)
473 473
    { }
474 474

	
475 475
    ///Destructor.
476 476
    ~Dijkstra()
477 477
    {
478 478
      if(local_pred) delete _pred;
479 479
      if(local_dist) delete _dist;
480 480
      if(local_processed) delete _processed;
481 481
      if(local_heap_cross_ref) delete _heap_cross_ref;
482 482
      if(local_heap) delete _heap;
483 483
    }
484 484

	
485 485
    ///Sets the length map.
486 486

	
487 487
    ///Sets the length map.
488 488
    ///\return <tt> (*this) </tt>
489 489
    Dijkstra &lengthMap(const LengthMap &m)
490 490
    {
491 491
      _length = &m;
492 492
      return *this;
493 493
    }
494 494

	
495 495
    ///Sets the map that stores the predecessor arcs.
496 496

	
497 497
    ///Sets the map that stores the predecessor arcs.
498 498
    ///If you don't use this function before calling \ref run(Node) "run()"
499 499
    ///or \ref init(), an instance will be allocated automatically.
500 500
    ///The destructor deallocates this automatically allocated map,
501 501
    ///of course.
502 502
    ///\return <tt> (*this) </tt>
503 503
    Dijkstra &predMap(PredMap &m)
504 504
    {
505 505
      if(local_pred) {
506 506
        delete _pred;
507 507
        local_pred=false;
508 508
      }
509 509
      _pred = &m;
510 510
      return *this;
511 511
    }
512 512

	
513 513
    ///Sets the map that indicates which nodes are processed.
514 514

	
515 515
    ///Sets the map that indicates which nodes are processed.
516 516
    ///If you don't use this function before calling \ref run(Node) "run()"
517 517
    ///or \ref init(), an instance will be allocated automatically.
518 518
    ///The destructor deallocates this automatically allocated map,
519 519
    ///of course.
520 520
    ///\return <tt> (*this) </tt>
521 521
    Dijkstra &processedMap(ProcessedMap &m)
522 522
    {
523 523
      if(local_processed) {
524 524
        delete _processed;
525 525
        local_processed=false;
526 526
      }
527 527
      _processed = &m;
528 528
      return *this;
529 529
    }
530 530

	
531 531
    ///Sets the map that stores the distances of the nodes.
532 532

	
533 533
    ///Sets the map that stores the distances of the nodes calculated by the
534 534
    ///algorithm.
535 535
    ///If you don't use this function before calling \ref run(Node) "run()"
536 536
    ///or \ref init(), an instance will be allocated automatically.
537 537
    ///The destructor deallocates this automatically allocated map,
538 538
    ///of course.
539 539
    ///\return <tt> (*this) </tt>
540 540
    Dijkstra &distMap(DistMap &m)
541 541
    {
542 542
      if(local_dist) {
543 543
        delete _dist;
544 544
        local_dist=false;
545 545
      }
546 546
      _dist = &m;
547 547
      return *this;
548 548
    }
549 549

	
550 550
    ///Sets the heap and the cross reference used by algorithm.
551 551

	
552 552
    ///Sets the heap and the cross reference used by algorithm.
553 553
    ///If you don't use this function before calling \ref run(Node) "run()"
554 554
    ///or \ref init(), heap and cross reference instances will be
555 555
    ///allocated automatically.
556 556
    ///The destructor deallocates these automatically allocated objects,
557 557
    ///of course.
558 558
    ///\return <tt> (*this) </tt>
559 559
    Dijkstra &heap(Heap& hp, HeapCrossRef &cr)
560 560
    {
561 561
      if(local_heap_cross_ref) {
562 562
        delete _heap_cross_ref;
563 563
        local_heap_cross_ref=false;
564 564
      }
565 565
      _heap_cross_ref = &cr;
566 566
      if(local_heap) {
567 567
        delete _heap;
568 568
        local_heap=false;
569 569
      }
570 570
      _heap = &hp;
571 571
      return *this;
572 572
    }
573 573

	
574 574
  private:
575 575

	
576 576
    void finalizeNodeData(Node v,Value dst)
577 577
    {
578 578
      _processed->set(v,true);
579 579
      _dist->set(v, dst);
580 580
    }
581 581

	
582 582
  public:
583 583

	
584 584
    ///\name Execution Control
585 585
    ///The simplest way to execute the %Dijkstra algorithm is to use
586 586
    ///one of the member functions called \ref run(Node) "run()".\n
587 587
    ///If you need more control on the execution, first you have to call
588 588
    ///\ref init(), then you can add several source nodes with
589 589
    ///\ref addSource(). Finally the actual path computation can be
590 590
    ///performed with one of the \ref start() functions.
591 591

	
592 592
    ///@{
593 593

	
594 594
    ///\brief Initializes the internal data structures.
595 595
    ///
596 596
    ///Initializes the internal data structures.
597 597
    void init()
598 598
    {
599 599
      create_maps();
600 600
      _heap->clear();
601 601
      for ( NodeIt u(*G) ; u!=INVALID ; ++u ) {
602 602
        _pred->set(u,INVALID);
603 603
        _processed->set(u,false);
604 604
        _heap_cross_ref->set(u,Heap::PRE_HEAP);
605 605
      }
606 606
    }
607 607

	
608 608
    ///Adds a new source node.
609 609

	
610 610
    ///Adds a new source node to the priority heap.
611 611
    ///The optional second parameter is the initial distance of the node.
612 612
    ///
613 613
    ///The function checks if the node has already been added to the heap and
614 614
    ///it is pushed to the heap only if either it was not in the heap
615 615
    ///or the shortest path found till then is shorter than \c dst.
616 616
    void addSource(Node s,Value dst=OperationTraits::zero())
617 617
    {
618 618
      if(_heap->state(s) != Heap::IN_HEAP) {
619 619
        _heap->push(s,dst);
620 620
      } else if(OperationTraits::less((*_heap)[s], dst)) {
621 621
        _heap->set(s,dst);
622 622
        _pred->set(s,INVALID);
623 623
      }
624 624
    }
625 625

	
626 626
    ///Processes the next node in the priority heap
627 627

	
628 628
    ///Processes the next node in the priority heap.
629 629
    ///
630 630
    ///\return The processed node.
631 631
    ///
632 632
    ///\warning The priority heap must not be empty.
633 633
    Node processNextNode()
634 634
    {
635 635
      Node v=_heap->top();
636 636
      Value oldvalue=_heap->prio();
637 637
      _heap->pop();
638 638
      finalizeNodeData(v,oldvalue);
639 639

	
640 640
      for(OutArcIt e(*G,v); e!=INVALID; ++e) {
641 641
        Node w=G->target(e);
642 642
        switch(_heap->state(w)) {
643 643
        case Heap::PRE_HEAP:
644 644
          _heap->push(w,OperationTraits::plus(oldvalue, (*_length)[e]));
645 645
          _pred->set(w,e);
646 646
          break;
647 647
        case Heap::IN_HEAP:
648 648
          {
649 649
            Value newvalue = OperationTraits::plus(oldvalue, (*_length)[e]);
650 650
            if ( OperationTraits::less(newvalue, (*_heap)[w]) ) {
651 651
              _heap->decrease(w, newvalue);
652 652
              _pred->set(w,e);
653 653
            }
654 654
          }
655 655
          break;
656 656
        case Heap::POST_HEAP:
657 657
          break;
658 658
        }
659 659
      }
660 660
      return v;
661 661
    }
662 662

	
663 663
    ///The next node to be processed.
664 664

	
665 665
    ///Returns the next node to be processed or \c INVALID if the
666 666
    ///priority heap is empty.
667 667
    Node nextNode() const
668 668
    {
669 669
      return !_heap->empty()?_heap->top():INVALID;
670 670
    }
671 671

	
672 672
    ///Returns \c false if there are nodes to be processed.
673 673

	
674 674
    ///Returns \c false if there are nodes to be processed
675 675
    ///in the priority heap.
676 676
    bool emptyQueue() const { return _heap->empty(); }
677 677

	
678 678
    ///Returns the number of the nodes to be processed.
679 679

	
680 680
    ///Returns the number of the nodes to be processed
681 681
    ///in the priority heap.
682 682
    int queueSize() const { return _heap->size(); }
683 683

	
684 684
    ///Executes the algorithm.
685 685

	
686 686
    ///Executes the algorithm.
687 687
    ///
688 688
    ///This method runs the %Dijkstra algorithm from the root node(s)
689 689
    ///in order to compute the shortest path to each node.
690 690
    ///
691 691
    ///The algorithm computes
692 692
    ///- the shortest path tree (forest),
693 693
    ///- the distance of each node from the root(s).
694 694
    ///
695 695
    ///\pre init() must be called and at least one root node should be
696 696
    ///added with addSource() before using this function.
697 697
    ///
698 698
    ///\note <tt>d.start()</tt> is just a shortcut of the following code.
699 699
    ///\code
700 700
    ///  while ( !d.emptyQueue() ) {
701 701
    ///    d.processNextNode();
702 702
    ///  }
703 703
    ///\endcode
704 704
    void start()
705 705
    {
706 706
      while ( !emptyQueue() ) processNextNode();
707 707
    }
708 708

	
709 709
    ///Executes the algorithm until the given target node is processed.
710 710

	
711 711
    ///Executes the algorithm until the given target node is processed.
712 712
    ///
713 713
    ///This method runs the %Dijkstra algorithm from the root node(s)
714 714
    ///in order to compute the shortest path to \c t.
715 715
    ///
716 716
    ///The algorithm computes
717 717
    ///- the shortest path to \c t,
718 718
    ///- the distance of \c t from the root(s).
719 719
    ///
720 720
    ///\pre init() must be called and at least one root node should be
721 721
    ///added with addSource() before using this function.
722 722
    void start(Node t)
723 723
    {
724 724
      while ( !_heap->empty() && _heap->top()!=t ) processNextNode();
725 725
      if ( !_heap->empty() ) {
726 726
        finalizeNodeData(_heap->top(),_heap->prio());
727 727
        _heap->pop();
728 728
      }
729 729
    }
730 730

	
731 731
    ///Executes the algorithm until a condition is met.
732 732

	
733 733
    ///Executes the algorithm until a condition is met.
734 734
    ///
735 735
    ///This method runs the %Dijkstra algorithm from the root node(s) in
736 736
    ///order to compute the shortest path to a node \c v with
737 737
    /// <tt>nm[v]</tt> true, if such a node can be found.
738 738
    ///
739 739
    ///\param nm A \c bool (or convertible) node map. The algorithm
740 740
    ///will stop when it reaches a node \c v with <tt>nm[v]</tt> true.
741 741
    ///
742 742
    ///\return The reached node \c v with <tt>nm[v]</tt> true or
743 743
    ///\c INVALID if no such node was found.
744 744
    ///
745 745
    ///\pre init() must be called and at least one root node should be
746 746
    ///added with addSource() before using this function.
747 747
    template<class NodeBoolMap>
748 748
    Node start(const NodeBoolMap &nm)
749 749
    {
750 750
      while ( !_heap->empty() && !nm[_heap->top()] ) processNextNode();
751 751
      if ( _heap->empty() ) return INVALID;
752 752
      finalizeNodeData(_heap->top(),_heap->prio());
753 753
      return _heap->top();
754 754
    }
755 755

	
756 756
    ///Runs the algorithm from the given source node.
757 757

	
758 758
    ///This method runs the %Dijkstra algorithm from node \c s
759 759
    ///in order to compute the shortest path to each node.
760 760
    ///
761 761
    ///The algorithm computes
762 762
    ///- the shortest path tree,
763 763
    ///- the distance of each node from the root.
764 764
    ///
765 765
    ///\note <tt>d.run(s)</tt> is just a shortcut of the following code.
766 766
    ///\code
767 767
    ///  d.init();
768 768
    ///  d.addSource(s);
769 769
    ///  d.start();
770 770
    ///\endcode
771 771
    void run(Node s) {
772 772
      init();
773 773
      addSource(s);
774 774
      start();
775 775
    }
776 776

	
777 777
    ///Finds the shortest path between \c s and \c t.
778 778

	
779 779
    ///This method runs the %Dijkstra algorithm from node \c s
780 780
    ///in order to compute the shortest path to node \c t
781 781
    ///(it stops searching when \c t is processed).
782 782
    ///
783 783
    ///\return \c true if \c t is reachable form \c s.
784 784
    ///
785 785
    ///\note Apart from the return value, <tt>d.run(s,t)</tt> is just a
786 786
    ///shortcut of the following code.
787 787
    ///\code
788 788
    ///  d.init();
789 789
    ///  d.addSource(s);
790 790
    ///  d.start(t);
791 791
    ///\endcode
792 792
    bool run(Node s,Node t) {
793 793
      init();
794 794
      addSource(s);
795 795
      start(t);
796 796
      return (*_heap_cross_ref)[t] == Heap::POST_HEAP;
797 797
    }
798 798

	
799 799
    ///@}
800 800

	
801 801
    ///\name Query Functions
802 802
    ///The results of the %Dijkstra algorithm can be obtained using these
803 803
    ///functions.\n
804 804
    ///Either \ref run(Node) "run()" or \ref start() should be called
805 805
    ///before using them.
806 806

	
807 807
    ///@{
808 808

	
809 809
    ///The shortest path to a node.
810 810

	
811 811
    ///Returns the shortest path to a node.
812 812
    ///
813 813
    ///\warning \c t should be reached from the root(s).
814 814
    ///
815 815
    ///\pre Either \ref run(Node) "run()" or \ref init()
816 816
    ///must be called before using this function.
817 817
    Path path(Node t) const { return Path(*G, *_pred, t); }
818 818

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

	
821 821
    ///Returns the distance of a node from the root(s).
822 822
    ///
823 823
    ///\warning If node \c v is not reached from the root(s), then
824 824
    ///the return value of this function is undefined.
825 825
    ///
826 826
    ///\pre Either \ref run(Node) "run()" or \ref init()
827 827
    ///must be called before using this function.
828 828
    Value dist(Node v) const { return (*_dist)[v]; }
829 829

	
830 830
    ///Returns the 'previous arc' of the shortest path tree for a node.
831 831

	
832 832
    ///This function returns the 'previous arc' of the shortest path
833 833
    ///tree for the node \c v, i.e. it returns the last arc of a
834 834
    ///shortest path from a root to \c v. It is \c INVALID if \c v
835 835
    ///is not reached from the root(s) or if \c v is a root.
836 836
    ///
837 837
    ///The shortest path tree used here is equal to the shortest path
838 838
    ///tree used in \ref predNode().
839 839
    ///
840 840
    ///\pre Either \ref run(Node) "run()" or \ref init()
841 841
    ///must be called before using this function.
842 842
    Arc predArc(Node v) const { return (*_pred)[v]; }
843 843

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

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

	
859 859
    ///\brief Returns a const reference to the node map that stores the
860 860
    ///distances of the nodes.
861 861
    ///
862 862
    ///Returns a const reference to the node map that stores the distances
863 863
    ///of the nodes calculated by the algorithm.
864 864
    ///
865 865
    ///\pre Either \ref run(Node) "run()" or \ref init()
866 866
    ///must be called before using this function.
867 867
    const DistMap &distMap() const { return *_dist;}
868 868

	
869 869
    ///\brief Returns a const reference to the node map that stores the
870 870
    ///predecessor arcs.
871 871
    ///
872 872
    ///Returns a const reference to the node map that stores the predecessor
873 873
    ///arcs, which form the shortest path tree.
874 874
    ///
875 875
    ///\pre Either \ref run(Node) "run()" or \ref init()
876 876
    ///must be called before using this function.
877 877
    const PredMap &predMap() const { return *_pred;}
878 878

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

	
881 881
    ///Returns \c true if \c v is reached from the root(s).
882 882
    ///
883 883
    ///\pre Either \ref run(Node) "run()" or \ref init()
884 884
    ///must be called before using this function.
885 885
    bool reached(Node v) const { return (*_heap_cross_ref)[v] !=
886 886
                                        Heap::PRE_HEAP; }
887 887

	
888 888
    ///Checks if a node is processed.
889 889

	
890 890
    ///Returns \c true if \c v is processed, i.e. the shortest
891 891
    ///path to \c v has already found.
892 892
    ///
893 893
    ///\pre Either \ref run(Node) "run()" or \ref init()
894 894
    ///must be called before using this function.
895 895
    bool processed(Node v) const { return (*_heap_cross_ref)[v] ==
896 896
                                          Heap::POST_HEAP; }
897 897

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

	
900 900
    ///Returns the current distance of a node from the root(s).
901 901
    ///It may be decreased in the following processes.
902 902
    ///
903 903
    ///\pre Either \ref run(Node) "run()" or \ref init()
904 904
    ///must be called before using this function and
905 905
    ///node \c v must be reached but not necessarily processed.
906 906
    Value currentDist(Node v) const {
907 907
      return processed(v) ? (*_dist)[v] : (*_heap)[v];
908 908
    }
909 909

	
910 910
    ///@}
911 911
  };
912 912

	
913 913

	
914 914
  ///Default traits class of dijkstra() function.
915 915

	
916 916
  ///Default traits class of dijkstra() function.
917 917
  ///\tparam GR The type of the digraph.
918 918
  ///\tparam LEN The type of the length map.
919 919
  template<class GR, class LEN>
920 920
  struct DijkstraWizardDefaultTraits
921 921
  {
922 922
    ///The type of the digraph the algorithm runs on.
923 923
    typedef GR Digraph;
924 924
    ///The type of the map that stores the arc lengths.
925 925

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

	
932 932
    /// Operation traits for Dijkstra algorithm.
933 933

	
934 934
    /// This class defines the operations that are used in the algorithm.
935 935
    /// \see DijkstraDefaultOperationTraits
936 936
    typedef DijkstraDefaultOperationTraits<Value> OperationTraits;
937 937

	
938 938
    /// The cross reference type used by the heap.
939 939

	
940 940
    /// The cross reference type used by the heap.
941 941
    /// Usually it is \c Digraph::NodeMap<int>.
942 942
    typedef typename Digraph::template NodeMap<int> HeapCrossRef;
943 943
    ///Instantiates a \ref HeapCrossRef.
944 944

	
945 945
    ///This function instantiates a \ref HeapCrossRef.
946 946
    /// \param g is the digraph, to which we would like to define the
947 947
    /// HeapCrossRef.
948 948
    static HeapCrossRef *createHeapCrossRef(const Digraph &g)
949 949
    {
950 950
      return new HeapCrossRef(g);
951 951
    }
952 952

	
953 953
    ///The heap type used by the Dijkstra algorithm.
954 954

	
955 955
    ///The heap type used by the Dijkstra algorithm.
956 956
    ///
957 957
    ///\sa BinHeap
958 958
    ///\sa Dijkstra
959 959
    typedef BinHeap<Value, typename Digraph::template NodeMap<int>,
960 960
                    std::less<Value> > Heap;
961 961

	
962 962
    ///Instantiates a \ref Heap.
963 963

	
964 964
    ///This function instantiates a \ref Heap.
965 965
    /// \param r is the HeapCrossRef which is used.
966 966
    static Heap *createHeap(HeapCrossRef& r)
967 967
    {
968 968
      return new Heap(r);
969 969
    }
970 970

	
971 971
    ///\brief The type of the map that stores the predecessor
972 972
    ///arcs of the shortest paths.
973 973
    ///
974 974
    ///The type of the map that stores the predecessor
975 975
    ///arcs of the shortest paths.
976 976
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
977 977
    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
978 978
    ///Instantiates a PredMap.
979 979

	
980 980
    ///This function instantiates a PredMap.
981 981
    ///\param g is the digraph, to which we would like to define the
982 982
    ///PredMap.
983 983
    static PredMap *createPredMap(const Digraph &g)
984 984
    {
985 985
      return new PredMap(g);
986 986
    }
987 987

	
988 988
    ///The type of the map that indicates which nodes are processed.
989 989

	
990 990
    ///The type of the map that indicates which nodes are processed.
991 991
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
992 992
    ///By default it is a NullMap.
993 993
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
994 994
    ///Instantiates a ProcessedMap.
995 995

	
996 996
    ///This function instantiates a ProcessedMap.
997 997
    ///\param g is the digraph, to which
998 998
    ///we would like to define the ProcessedMap.
999 999
#ifdef DOXYGEN
1000 1000
    static ProcessedMap *createProcessedMap(const Digraph &g)
1001 1001
#else
1002 1002
    static ProcessedMap *createProcessedMap(const Digraph &)
1003 1003
#endif
1004 1004
    {
1005 1005
      return new ProcessedMap();
1006 1006
    }
1007 1007

	
1008 1008
    ///The type of the map that stores the distances of the nodes.
1009 1009

	
1010 1010
    ///The type of the map that stores the distances of the nodes.
1011 1011
    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
1012 1012
    typedef typename Digraph::template NodeMap<typename LEN::Value> DistMap;
1013 1013
    ///Instantiates a DistMap.
1014 1014

	
1015 1015
    ///This function instantiates a DistMap.
1016 1016
    ///\param g is the digraph, to which we would like to define
1017 1017
    ///the DistMap
1018 1018
    static DistMap *createDistMap(const Digraph &g)
1019 1019
    {
1020 1020
      return new DistMap(g);
1021 1021
    }
1022 1022

	
1023 1023
    ///The type of the shortest paths.
1024 1024

	
1025 1025
    ///The type of the shortest paths.
1026 1026
    ///It must meet the \ref concepts::Path "Path" concept.
1027 1027
    typedef lemon::Path<Digraph> Path;
1028 1028
  };
1029 1029

	
1030 1030
  /// Default traits class used by DijkstraWizard
1031 1031

	
1032 1032
  /// To make it easier to use Dijkstra algorithm
1033 1033
  /// we have created a wizard class.
1034 1034
  /// This \ref DijkstraWizard class needs default traits,
1035 1035
  /// as well as the \ref Dijkstra class.
1036 1036
  /// The \ref DijkstraWizardBase is a class to be the default traits of the
1037 1037
  /// \ref DijkstraWizard class.
1038 1038
  template<typename GR, typename LEN>
1039 1039
  class DijkstraWizardBase : public DijkstraWizardDefaultTraits<GR,LEN>
1040 1040
  {
1041 1041
    typedef DijkstraWizardDefaultTraits<GR,LEN> Base;
1042 1042
  protected:
1043 1043
    //The type of the nodes in the digraph.
1044 1044
    typedef typename Base::Digraph::Node Node;
1045 1045

	
1046 1046
    //Pointer to the digraph the algorithm runs on.
1047 1047
    void *_g;
1048 1048
    //Pointer to the length map.
1049 1049
    void *_length;
1050 1050
    //Pointer to the map of processed nodes.
1051 1051
    void *_processed;
1052 1052
    //Pointer to the map of predecessors arcs.
1053 1053
    void *_pred;
1054 1054
    //Pointer to the map of distances.
1055 1055
    void *_dist;
1056 1056
    //Pointer to the shortest path to the target node.
1057 1057
    void *_path;
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
#ifndef LEMON_DIMACS_H
20 20
#define LEMON_DIMACS_H
21 21

	
22 22
#include <iostream>
23 23
#include <string>
24 24
#include <vector>
25 25
#include <limits>
26 26
#include <lemon/maps.h>
27 27
#include <lemon/error.h>
28 28
/// \ingroup dimacs_group
29 29
/// \file
30 30
/// \brief DIMACS file format reader.
31 31

	
32 32
namespace lemon {
33 33

	
34 34
  /// \addtogroup dimacs_group
35 35
  /// @{
36 36

	
37 37
  /// DIMACS file type descriptor.
38 38
  struct DimacsDescriptor
39 39
  {
40
    ///File type enum
41
    enum Type
42
      {
43
        NONE, MIN, MAX, SP, MAT
44
      };
40
    ///\brief DIMACS file type enum
41
    ///
42
    ///DIMACS file type enum.
43
    enum Type {
44
      NONE,  ///< Undefined type.
45
      MIN,   ///< DIMACS file type for minimum cost flow problems.
46
      MAX,   ///< DIMACS file type for maximum flow problems.
47
      SP,    ///< DIMACS file type for shostest path problems.
48
      MAT    ///< DIMACS file type for plain graphs and matching problems.
49
    };
45 50
    ///The file type
46 51
    Type type;
47 52
    ///The number of nodes in the graph
48 53
    int nodeNum;
49 54
    ///The number of edges in the graph
50 55
    int edgeNum;
51 56
    int lineShift;
52
    /// Constructor. Sets the type to NONE.
57
    ///Constructor. It sets the type to \c NONE.
53 58
    DimacsDescriptor() : type(NONE) {}
54 59
  };
55 60

	
56 61
  ///Discover the type of a DIMACS file
57 62

	
58
  ///It starts seeking the beginning of the file for the problem type
59
  ///and size info. The found data is returned in a special struct
60
  ///that can be evaluated and passed to the appropriate reader
61
  ///function.
63
  ///This function starts seeking the beginning of the given file for the
64
  ///problem type and size info. 
65
  ///The found data is returned in a special struct that can be evaluated
66
  ///and passed to the appropriate reader function.
62 67
  DimacsDescriptor dimacsType(std::istream& is)
63 68
  {
64 69
    DimacsDescriptor r;
65 70
    std::string problem,str;
66 71
    char c;
67 72
    r.lineShift=0;
68 73
    while (is >> c)
69 74
      switch(c)
70 75
        {
71 76
        case 'p':
72 77
          if(is >> problem >> r.nodeNum >> r.edgeNum)
73 78
            {
74 79
              getline(is, str);
75 80
              r.lineShift++;
76 81
              if(problem=="min") r.type=DimacsDescriptor::MIN;
77 82
              else if(problem=="max") r.type=DimacsDescriptor::MAX;
78 83
              else if(problem=="sp") r.type=DimacsDescriptor::SP;
79 84
              else if(problem=="mat") r.type=DimacsDescriptor::MAT;
80 85
              else throw FormatError("Unknown problem type");
81 86
              return r;
82 87
            }
83 88
          else
84 89
            {
85 90
              throw FormatError("Missing or wrong problem type declaration.");
86 91
            }
87 92
          break;
88 93
        case 'c':
89 94
          getline(is, str);
90 95
          r.lineShift++;
91 96
          break;
92 97
        default:
93 98
          throw FormatError("Unknown DIMACS declaration.");
94 99
        }
95 100
    throw FormatError("Missing problem type declaration.");
96 101
  }
97 102

	
98 103

	
99

	
100
  /// DIMACS minimum cost flow reader function.
104
  /// \brief DIMACS minimum cost flow reader function.
101 105
  ///
102 106
  /// This function reads a minimum cost flow instance from DIMACS format,
103 107
  /// i.e. from a DIMACS file having a line starting with
104 108
  /// \code
105 109
  ///   p min
106 110
  /// \endcode
107 111
  /// At the beginning, \c g is cleared by \c g.clear(). The supply
108 112
  /// amount of the nodes are written to the \c supply node map
109 113
  /// (they are signed values). The lower bounds, capacities and costs
110 114
  /// of the arcs are written to the \c lower, \c capacity and \c cost
111 115
  /// arc maps.
112 116
  ///
113 117
  /// If the capacity of an arc is less than the lower bound, it will
114 118
  /// be set to "infinite" instead. The actual value of "infinite" is
115 119
  /// contolled by the \c infty parameter. If it is 0 (the default value),
116 120
  /// \c std::numeric_limits<Capacity>::infinity() will be used if available,
117 121
  /// \c std::numeric_limits<Capacity>::max() otherwise. If \c infty is set to
118 122
  /// a non-zero value, that value will be used as "infinite".
119 123
  ///
120 124
  /// If the file type was previously evaluated by dimacsType(), then
121 125
  /// the descriptor struct should be given by the \c dest parameter.
122 126
  template <typename Digraph, typename LowerMap,
123 127
            typename CapacityMap, typename CostMap,
124 128
            typename SupplyMap>
125 129
  void readDimacsMin(std::istream& is,
126 130
                     Digraph &g,
127 131
                     LowerMap& lower,
128 132
                     CapacityMap& capacity,
129 133
                     CostMap& cost,
130 134
                     SupplyMap& supply,
131 135
                     typename CapacityMap::Value infty = 0,
132 136
                     DimacsDescriptor desc=DimacsDescriptor())
133 137
  {
134 138
    g.clear();
135 139
    std::vector<typename Digraph::Node> nodes;
136 140
    typename Digraph::Arc e;
137 141
    std::string problem, str;
138 142
    char c;
139 143
    int i, j;
140 144
    if(desc.type==DimacsDescriptor::NONE) desc=dimacsType(is);
141 145
    if(desc.type!=DimacsDescriptor::MIN)
142 146
      throw FormatError("Problem type mismatch");
143 147

	
144 148
    nodes.resize(desc.nodeNum + 1);
145 149
    for (int k = 1; k <= desc.nodeNum; ++k) {
146 150
      nodes[k] = g.addNode();
147 151
      supply.set(nodes[k], 0);
148 152
    }
149 153

	
150 154
    typename SupplyMap::Value sup;
151 155
    typename CapacityMap::Value low;
152 156
    typename CapacityMap::Value cap;
153 157
    typename CostMap::Value co;
154 158
    typedef typename CapacityMap::Value Capacity;
155 159
    if(infty==0)
156 160
      infty = std::numeric_limits<Capacity>::has_infinity ?
157 161
        std::numeric_limits<Capacity>::infinity() :
158 162
        std::numeric_limits<Capacity>::max();
159 163

	
160 164
    while (is >> c) {
161 165
      switch (c) {
162 166
      case 'c': // comment line
163 167
        getline(is, str);
164 168
        break;
165 169
      case 'n': // node definition line
166 170
        is >> i >> sup;
167 171
        getline(is, str);
168 172
        supply.set(nodes[i], sup);
169 173
        break;
170 174
      case 'a': // arc definition line
171 175
        is >> i >> j >> low >> cap >> co;
172 176
        getline(is, str);
173 177
        e = g.addArc(nodes[i], nodes[j]);
174 178
        lower.set(e, low);
175 179
        if (cap >= low)
176 180
          capacity.set(e, cap);
177 181
        else
178 182
          capacity.set(e, infty);
179 183
        cost.set(e, co);
180 184
        break;
181 185
      }
182 186
    }
183 187
  }
184 188

	
185 189
  template<typename Digraph, typename CapacityMap>
186 190
  void _readDimacs(std::istream& is,
187 191
                   Digraph &g,
188 192
                   CapacityMap& capacity,
189 193
                   typename Digraph::Node &s,
190 194
                   typename Digraph::Node &t,
191 195
                   typename CapacityMap::Value infty = 0,
192 196
                   DimacsDescriptor desc=DimacsDescriptor()) {
193 197
    g.clear();
194 198
    s=t=INVALID;
195 199
    std::vector<typename Digraph::Node> nodes;
196 200
    typename Digraph::Arc e;
197 201
    char c, d;
198 202
    int i, j;
199 203
    typename CapacityMap::Value _cap;
200 204
    std::string str;
201 205
    nodes.resize(desc.nodeNum + 1);
202 206
    for (int k = 1; k <= desc.nodeNum; ++k) {
203 207
      nodes[k] = g.addNode();
204 208
    }
205 209
    typedef typename CapacityMap::Value Capacity;
206 210

	
207 211
    if(infty==0)
208 212
      infty = std::numeric_limits<Capacity>::has_infinity ?
209 213
        std::numeric_limits<Capacity>::infinity() :
210 214
        std::numeric_limits<Capacity>::max();
211 215
 
212 216
    while (is >> c) {
213 217
      switch (c) {
214 218
      case 'c': // comment line
215 219
        getline(is, str);
216 220
        break;
217 221
      case 'n': // node definition line
218 222
        if (desc.type==DimacsDescriptor::SP) { // shortest path problem
219 223
          is >> i;
220 224
          getline(is, str);
221 225
          s = nodes[i];
222 226
        }
223 227
        if (desc.type==DimacsDescriptor::MAX) { // max flow problem
224 228
          is >> i >> d;
225 229
          getline(is, str);
226 230
          if (d == 's') s = nodes[i];
227 231
          if (d == 't') t = nodes[i];
228 232
        }
229 233
        break;
230 234
      case 'a': // arc definition line
231 235
        if (desc.type==DimacsDescriptor::SP) {
232 236
          is >> i >> j >> _cap;
233 237
          getline(is, str);
234 238
          e = g.addArc(nodes[i], nodes[j]);
235 239
          capacity.set(e, _cap);
236 240
        } 
237 241
        else if (desc.type==DimacsDescriptor::MAX) {
238 242
          is >> i >> j >> _cap;
239 243
          getline(is, str);
240 244
          e = g.addArc(nodes[i], nodes[j]);
241 245
          if (_cap >= 0)
242 246
            capacity.set(e, _cap);
243 247
          else
244 248
            capacity.set(e, infty);
245 249
        }
246 250
        else {
247 251
          is >> i >> j;
248 252
          getline(is, str);
249 253
          g.addArc(nodes[i], nodes[j]);
250 254
        }
251 255
        break;
252 256
      }
253 257
    }
254 258
  }
255 259

	
256
  /// DIMACS maximum flow reader function.
260
  /// \brief DIMACS maximum flow reader function.
257 261
  ///
258 262
  /// This function reads a maximum flow instance from DIMACS format,
259 263
  /// i.e. from a DIMACS file having a line starting with
260 264
  /// \code
261 265
  ///   p max
262 266
  /// \endcode
263 267
  /// At the beginning, \c g is cleared by \c g.clear(). The arc
264 268
  /// capacities are written to the \c capacity arc map and \c s and
265 269
  /// \c t are set to the source and the target nodes.
266 270
  ///
267 271
  /// If the capacity of an arc is negative, it will
268 272
  /// be set to "infinite" instead. The actual value of "infinite" is
269 273
  /// contolled by the \c infty parameter. If it is 0 (the default value),
270 274
  /// \c std::numeric_limits<Capacity>::infinity() will be used if available,
271 275
  /// \c std::numeric_limits<Capacity>::max() otherwise. If \c infty is set to
272 276
  /// a non-zero value, that value will be used as "infinite".
273 277
  ///
274 278
  /// If the file type was previously evaluated by dimacsType(), then
275 279
  /// the descriptor struct should be given by the \c dest parameter.
276 280
  template<typename Digraph, typename CapacityMap>
277 281
  void readDimacsMax(std::istream& is,
278 282
                     Digraph &g,
279 283
                     CapacityMap& capacity,
280 284
                     typename Digraph::Node &s,
281 285
                     typename Digraph::Node &t,
282 286
                     typename CapacityMap::Value infty = 0,
283 287
                     DimacsDescriptor desc=DimacsDescriptor()) {
284 288
    if(desc.type==DimacsDescriptor::NONE) desc=dimacsType(is);
285 289
    if(desc.type!=DimacsDescriptor::MAX)
286 290
      throw FormatError("Problem type mismatch");
287 291
    _readDimacs(is,g,capacity,s,t,infty,desc);
288 292
  }
289 293

	
290
  /// DIMACS shortest path reader function.
294
  /// \brief DIMACS shortest path reader function.
291 295
  ///
292 296
  /// This function reads a shortest path instance from DIMACS format,
293 297
  /// i.e. from a DIMACS file having a line starting with
294 298
  /// \code
295 299
  ///   p sp
296 300
  /// \endcode
297 301
  /// At the beginning, \c g is cleared by \c g.clear(). The arc
298 302
  /// lengths are written to the \c length arc map and \c s is set to the
299 303
  /// source node.
300 304
  ///
301 305
  /// If the file type was previously evaluated by dimacsType(), then
302 306
  /// the descriptor struct should be given by the \c dest parameter.
303 307
  template<typename Digraph, typename LengthMap>
304 308
  void readDimacsSp(std::istream& is,
305 309
                    Digraph &g,
306 310
                    LengthMap& length,
307 311
                    typename Digraph::Node &s,
308 312
                    DimacsDescriptor desc=DimacsDescriptor()) {
309 313
    typename Digraph::Node t;
310 314
    if(desc.type==DimacsDescriptor::NONE) desc=dimacsType(is);
311 315
    if(desc.type!=DimacsDescriptor::SP)
312 316
      throw FormatError("Problem type mismatch");
313 317
    _readDimacs(is, g, length, s, t, 0, desc);
314 318
  }
315 319

	
316
  /// DIMACS capacitated digraph reader function.
320
  /// \brief DIMACS capacitated digraph reader function.
317 321
  ///
318 322
  /// This function reads an arc capacitated digraph instance from
319 323
  /// DIMACS 'max' or 'sp' format.
320 324
  /// At the beginning, \c g is cleared by \c g.clear()
321 325
  /// and the arc capacities/lengths are written to the \c capacity
322 326
  /// arc map.
323 327
  ///
324 328
  /// In case of the 'max' format, if the capacity of an arc is negative,
325 329
  /// it will
326 330
  /// be set to "infinite" instead. The actual value of "infinite" is
327 331
  /// contolled by the \c infty parameter. If it is 0 (the default value),
328 332
  /// \c std::numeric_limits<Capacity>::infinity() will be used if available,
329 333
  /// \c std::numeric_limits<Capacity>::max() otherwise. If \c infty is set to
330 334
  /// a non-zero value, that value will be used as "infinite".
331 335
  ///
332 336
  /// If the file type was previously evaluated by dimacsType(), then
333 337
  /// the descriptor struct should be given by the \c dest parameter.
334 338
  template<typename Digraph, typename CapacityMap>
335 339
  void readDimacsCap(std::istream& is,
336 340
                     Digraph &g,
337 341
                     CapacityMap& capacity,
338 342
                     typename CapacityMap::Value infty = 0,
339 343
                     DimacsDescriptor desc=DimacsDescriptor()) {
340 344
    typename Digraph::Node u,v;
341 345
    if(desc.type==DimacsDescriptor::NONE) desc=dimacsType(is);
342 346
    if(desc.type!=DimacsDescriptor::MAX || desc.type!=DimacsDescriptor::SP)
343 347
      throw FormatError("Problem type mismatch");
344 348
    _readDimacs(is, g, capacity, u, v, infty, desc);
345 349
  }
346 350

	
347 351
  template<typename Graph>
348 352
  typename enable_if<lemon::UndirectedTagIndicator<Graph>,void>::type
349 353
  _addArcEdge(Graph &g, typename Graph::Node s, typename Graph::Node t,
350 354
              dummy<0> = 0)
351 355
  {
352 356
    g.addEdge(s,t);
353 357
  }
354 358
  template<typename Graph>
355 359
  typename disable_if<lemon::UndirectedTagIndicator<Graph>,void>::type
356 360
  _addArcEdge(Graph &g, typename Graph::Node s, typename Graph::Node t,
357 361
              dummy<1> = 1)
358 362
  {
359 363
    g.addArc(s,t);
360 364
  }
361 365
  
362
  /// DIMACS plain (di)graph reader function.
366
  /// \brief DIMACS plain (di)graph reader function.
363 367
  ///
364
  /// This function reads a (di)graph without any designated nodes and
365
  /// maps from DIMACS format, i.e. from DIMACS files having a line
366
  /// starting with
368
  /// This function reads a plain (di)graph without any designated nodes
369
  /// and maps (e.g. a matching instance) from DIMACS format, i.e. from 
370
  /// DIMACS files having a line starting with
367 371
  /// \code
368 372
  ///   p mat
369 373
  /// \endcode
370 374
  /// At the beginning, \c g is cleared by \c g.clear().
371 375
  ///
372 376
  /// If the file type was previously evaluated by dimacsType(), then
373 377
  /// the descriptor struct should be given by the \c dest parameter.
374 378
  template<typename Graph>
375 379
  void readDimacsMat(std::istream& is, Graph &g,
376 380
                     DimacsDescriptor desc=DimacsDescriptor())
377 381
  {
378 382
    if(desc.type==DimacsDescriptor::NONE) desc=dimacsType(is);
379 383
    if(desc.type!=DimacsDescriptor::MAT)
380 384
      throw FormatError("Problem type mismatch");
381 385

	
382 386
    g.clear();
383 387
    std::vector<typename Graph::Node> nodes;
384 388
    char c;
385 389
    int i, j;
386 390
    std::string str;
387 391
    nodes.resize(desc.nodeNum + 1);
388 392
    for (int k = 1; k <= desc.nodeNum; ++k) {
389 393
      nodes[k] = g.addNode();
390 394
    }
391 395
    
392 396
    while (is >> c) {
393 397
      switch (c) {
394 398
      case 'c': // comment line
395 399
        getline(is, str);
396 400
        break;
397 401
      case 'n': // node definition line
398 402
        break;
399 403
      case 'a': // arc definition line
400 404
        is >> i >> j;
401 405
        getline(is, str);
402 406
        _addArcEdge(g,nodes[i], nodes[j]);
403 407
        break;
404 408
      }
405 409
    }
406 410
  }
407 411

	
408 412
  /// DIMACS plain digraph writer function.
409 413
  ///
410 414
  /// This function writes a digraph without any designated nodes and
411 415
  /// maps into DIMACS format, i.e. into DIMACS file having a line
412 416
  /// starting with
413 417
  /// \code
414 418
  ///   p mat
415 419
  /// \endcode
416 420
  /// If \c comment is not empty, then it will be printed in the first line
417 421
  /// prefixed by 'c'.
418 422
  template<typename Digraph>
419 423
  void writeDimacsMat(std::ostream& os, const Digraph &g,
420 424
                      std::string comment="") {
421 425
    typedef typename Digraph::NodeIt NodeIt;
422 426
    typedef typename Digraph::ArcIt ArcIt;
423 427

	
424 428
    if(!comment.empty())
425 429
      os << "c " << comment << std::endl;
426 430
    os << "p mat " << g.nodeNum() << " " << g.arcNum() << std::endl;
427 431

	
428 432
    typename Digraph::template NodeMap<int> nodes(g);
429 433
    int i = 1;
430 434
    for(NodeIt v(g); v != INVALID; ++v) {
431 435
      nodes.set(v, i);
432 436
      ++i;
433 437
    }
434 438
    for(ArcIt e(g); e != INVALID; ++e) {
435 439
      os << "a " << nodes[g.source(e)] << " " << nodes[g.target(e)]
436 440
         << std::endl;
437 441
    }
438 442
  }
439 443

	
440 444
  /// @}
441 445

	
442 446
} //namespace lemon
443 447

	
444 448
#endif //LEMON_DIMACS_H
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
#ifndef LEMON_GRAPH_TO_EPS_H
20 20
#define LEMON_GRAPH_TO_EPS_H
21 21

	
22 22
#include<iostream>
23 23
#include<fstream>
24 24
#include<sstream>
25 25
#include<algorithm>
26 26
#include<vector>
27 27

	
28 28
#ifndef WIN32
29 29
#include<sys/time.h>
30 30
#include<ctime>
31 31
#else
32 32
#include<lemon/bits/windows.h>
33 33
#endif
34 34

	
35 35
#include<lemon/math.h>
36 36
#include<lemon/core.h>
37 37
#include<lemon/dim2.h>
38 38
#include<lemon/maps.h>
39 39
#include<lemon/color.h>
40 40
#include<lemon/bits/bezier.h>
41 41
#include<lemon/error.h>
42 42

	
43 43

	
44 44
///\ingroup eps_io
45 45
///\file
46 46
///\brief A well configurable tool for visualizing graphs
47 47

	
48 48
namespace lemon {
49 49

	
50 50
  namespace _graph_to_eps_bits {
51 51
    template<class MT>
52 52
    class _NegY {
53 53
    public:
54 54
      typedef typename MT::Key Key;
55 55
      typedef typename MT::Value Value;
56 56
      const MT &map;
57 57
      int yscale;
58 58
      _NegY(const MT &m,bool b) : map(m), yscale(1-b*2) {}
59 59
      Value operator[](Key n) { return Value(map[n].x,map[n].y*yscale);}
60 60
    };
61 61
  }
62 62

	
63 63
///Default traits class of GraphToEps
64 64

	
65 65
///Default traits class of \ref GraphToEps.
66 66
///
67 67
///\param GR is the type of the underlying graph.
68 68
template<class GR>
69 69
struct DefaultGraphToEpsTraits
70 70
{
71 71
  typedef GR Graph;
72 72
  typedef typename Graph::Node Node;
73 73
  typedef typename Graph::NodeIt NodeIt;
74 74
  typedef typename Graph::Arc Arc;
75 75
  typedef typename Graph::ArcIt ArcIt;
76 76
  typedef typename Graph::InArcIt InArcIt;
77 77
  typedef typename Graph::OutArcIt OutArcIt;
78 78

	
79 79

	
80 80
  const Graph &g;
81 81

	
82 82
  std::ostream& os;
83 83

	
84 84
  typedef ConstMap<typename Graph::Node,dim2::Point<double> > CoordsMapType;
85 85
  CoordsMapType _coords;
86 86
  ConstMap<typename Graph::Node,double > _nodeSizes;
87 87
  ConstMap<typename Graph::Node,int > _nodeShapes;
88 88

	
89 89
  ConstMap<typename Graph::Node,Color > _nodeColors;
90 90
  ConstMap<typename Graph::Arc,Color > _arcColors;
91 91

	
92 92
  ConstMap<typename Graph::Arc,double > _arcWidths;
93 93

	
94 94
  double _arcWidthScale;
95 95

	
96 96
  double _nodeScale;
97 97
  double _xBorder, _yBorder;
98 98
  double _scale;
99 99
  double _nodeBorderQuotient;
100 100

	
101 101
  bool _drawArrows;
102 102
  double _arrowLength, _arrowWidth;
103 103

	
104 104
  bool _showNodes, _showArcs;
105 105

	
106 106
  bool _enableParallel;
107 107
  double _parArcDist;
108 108

	
109 109
  bool _showNodeText;
110 110
  ConstMap<typename Graph::Node,bool > _nodeTexts;
111 111
  double _nodeTextSize;
112 112

	
113 113
  bool _showNodePsText;
114 114
  ConstMap<typename Graph::Node,bool > _nodePsTexts;
115 115
  char *_nodePsTextsPreamble;
116 116

	
117 117
  bool _undirected;
118 118

	
119 119
  bool _pleaseRemoveOsStream;
120 120

	
121 121
  bool _scaleToA4;
122 122

	
123 123
  std::string _title;
124 124
  std::string _copyright;
125 125

	
126 126
  enum NodeTextColorType
127 127
    { DIST_COL=0, DIST_BW=1, CUST_COL=2, SAME_COL=3 } _nodeTextColorType;
128 128
  ConstMap<typename Graph::Node,Color > _nodeTextColors;
129 129

	
130 130
  bool _autoNodeScale;
131 131
  bool _autoArcWidthScale;
132 132

	
133 133
  bool _absoluteNodeSizes;
134 134
  bool _absoluteArcWidths;
135 135

	
136 136
  bool _negY;
137 137

	
138 138
  bool _preScale;
139 139
  ///Constructor
140 140

	
141 141
  ///Constructor
142 142
  ///\param gr  Reference to the graph to be printed.
143 143
  ///\param ost Reference to the output stream.
144 144
  ///By default it is <tt>std::cout</tt>.
145 145
  ///\param pros If it is \c true, then the \c ostream referenced by \c os
146 146
  ///will be explicitly deallocated by the destructor.
147 147
  DefaultGraphToEpsTraits(const GR &gr, std::ostream& ost = std::cout,
148 148
                          bool pros = false) :
149 149
    g(gr), os(ost),
150 150
    _coords(dim2::Point<double>(1,1)), _nodeSizes(1), _nodeShapes(0),
151 151
    _nodeColors(WHITE), _arcColors(BLACK),
152 152
    _arcWidths(1.0), _arcWidthScale(0.003),
153 153
    _nodeScale(.01), _xBorder(10), _yBorder(10), _scale(1.0),
154 154
    _nodeBorderQuotient(.1),
155 155
    _drawArrows(false), _arrowLength(1), _arrowWidth(0.3),
156 156
    _showNodes(true), _showArcs(true),
157 157
    _enableParallel(false), _parArcDist(1),
158 158
    _showNodeText(false), _nodeTexts(false), _nodeTextSize(1),
159 159
    _showNodePsText(false), _nodePsTexts(false), _nodePsTextsPreamble(0),
160 160
    _undirected(lemon::UndirectedTagIndicator<GR>::value),
161 161
    _pleaseRemoveOsStream(pros), _scaleToA4(false),
162 162
    _nodeTextColorType(SAME_COL), _nodeTextColors(BLACK),
163 163
    _autoNodeScale(false),
164 164
    _autoArcWidthScale(false),
165 165
    _absoluteNodeSizes(false),
166 166
    _absoluteArcWidths(false),
167 167
    _negY(false),
168 168
    _preScale(true)
169 169
  {}
170 170
};
171 171

	
172 172
///Auxiliary class to implement the named parameters of \ref graphToEps()
173 173

	
174 174
///Auxiliary class to implement the named parameters of \ref graphToEps().
175 175
///
176 176
///For detailed examples see the \ref graph_to_eps_demo.cc demo file.
177 177
template<class T> class GraphToEps : public T
178 178
{
179 179
  // Can't believe it is required by the C++ standard
180 180
  using T::g;
181 181
  using T::os;
182 182

	
183 183
  using T::_coords;
184 184
  using T::_nodeSizes;
185 185
  using T::_nodeShapes;
186 186
  using T::_nodeColors;
187 187
  using T::_arcColors;
188 188
  using T::_arcWidths;
189 189

	
190 190
  using T::_arcWidthScale;
191 191
  using T::_nodeScale;
192 192
  using T::_xBorder;
193 193
  using T::_yBorder;
194 194
  using T::_scale;
195 195
  using T::_nodeBorderQuotient;
196 196

	
197 197
  using T::_drawArrows;
198 198
  using T::_arrowLength;
199 199
  using T::_arrowWidth;
200 200

	
201 201
  using T::_showNodes;
202 202
  using T::_showArcs;
203 203

	
204 204
  using T::_enableParallel;
205 205
  using T::_parArcDist;
206 206

	
207 207
  using T::_showNodeText;
208 208
  using T::_nodeTexts;
209 209
  using T::_nodeTextSize;
210 210

	
211 211
  using T::_showNodePsText;
212 212
  using T::_nodePsTexts;
213 213
  using T::_nodePsTextsPreamble;
214 214

	
215 215
  using T::_undirected;
216 216

	
217 217
  using T::_pleaseRemoveOsStream;
218 218

	
219 219
  using T::_scaleToA4;
220 220

	
221 221
  using T::_title;
222 222
  using T::_copyright;
223 223

	
224 224
  using T::NodeTextColorType;
225 225
  using T::CUST_COL;
226 226
  using T::DIST_COL;
227 227
  using T::DIST_BW;
228 228
  using T::_nodeTextColorType;
229 229
  using T::_nodeTextColors;
230 230

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

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

	
237 237

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

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

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

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

	
256 256
  bool dontPrint;
257 257

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

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

	
290 286
private:
291 287
  class arcLess {
292 288
    const Graph &g;
293 289
  public:
294 290
    arcLess(const Graph &_g) : g(_g) {}
295 291
    bool operator()(Arc a,Arc b) const
296 292
    {
297 293
      Node ai=std::min(g.source(a),g.target(a));
298 294
      Node aa=std::max(g.source(a),g.target(a));
299 295
      Node bi=std::min(g.source(b),g.target(b));
300 296
      Node ba=std::max(g.source(b),g.target(b));
301 297
      return ai<bi ||
302 298
        (ai==bi && (aa < ba ||
303 299
                    (aa==ba && ai==g.source(a) && bi==g.target(b))));
304 300
    }
305 301
  };
306 302
  bool isParallel(Arc e,Arc f) const
307 303
  {
308 304
    return (g.source(e)==g.source(f)&&
309 305
            g.target(e)==g.target(f)) ||
310 306
      (g.source(e)==g.target(f)&&
311 307
       g.target(e)==g.source(f));
312 308
  }
313 309
  template<class TT>
314 310
  static std::string psOut(const dim2::Point<TT> &p)
315 311
    {
316 312
      std::ostringstream os;
317 313
      os << p.x << ' ' << p.y;
318 314
      return os.str();
319 315
    }
320 316
  static std::string psOut(const Color &c)
321 317
    {
322 318
      std::ostringstream os;
323 319
      os << c.red() << ' ' << c.green() << ' ' << c.blue();
324 320
      return os.str();
325 321
    }
326 322

	
327 323
public:
328 324
  GraphToEps(const T &t) : T(t), dontPrint(false) {};
329 325

	
330 326
  template<class X> struct CoordsTraits : public T {
331 327
  typedef X CoordsMapType;
332 328
    const X &_coords;
333 329
    CoordsTraits(const T &t,const X &x) : T(t), _coords(x) {}
334 330
  };
335 331
  ///Sets the map of the node coordinates
336 332

	
337 333
  ///Sets the map of the node coordinates.
338 334
  ///\param x must be a node map with \ref dim2::Point "dim2::Point<double>" or
339 335
  ///\ref dim2::Point "dim2::Point<int>" values.
340 336
  template<class X> GraphToEps<CoordsTraits<X> > coords(const X &x) {
341 337
    dontPrint=true;
342 338
    return GraphToEps<CoordsTraits<X> >(CoordsTraits<X>(*this,x));
343 339
  }
344 340
  template<class X> struct NodeSizesTraits : public T {
345 341
    const X &_nodeSizes;
346 342
    NodeSizesTraits(const T &t,const X &x) : T(t), _nodeSizes(x) {}
347 343
  };
348 344
  ///Sets the map of the node sizes
349 345

	
350 346
  ///Sets the map of the node sizes.
351 347
  ///\param x must be a node map with \c double (or convertible) values.
352 348
  template<class X> GraphToEps<NodeSizesTraits<X> > nodeSizes(const X &x)
353 349
  {
354 350
    dontPrint=true;
355 351
    return GraphToEps<NodeSizesTraits<X> >(NodeSizesTraits<X>(*this,x));
356 352
  }
357 353
  template<class X> struct NodeShapesTraits : public T {
358 354
    const X &_nodeShapes;
359 355
    NodeShapesTraits(const T &t,const X &x) : T(t), _nodeShapes(x) {}
360 356
  };
361 357
  ///Sets the map of the node shapes
362 358

	
363 359
  ///Sets the map of the node shapes.
364 360
  ///The available shape values
365 361
  ///can be found in \ref NodeShapes "enum NodeShapes".
366 362
  ///\param x must be a node map with \c int (or convertible) values.
367 363
  ///\sa NodeShapes
368 364
  template<class X> GraphToEps<NodeShapesTraits<X> > nodeShapes(const X &x)
369 365
  {
370 366
    dontPrint=true;
371 367
    return GraphToEps<NodeShapesTraits<X> >(NodeShapesTraits<X>(*this,x));
372 368
  }
373 369
  template<class X> struct NodeTextsTraits : public T {
374 370
    const X &_nodeTexts;
375 371
    NodeTextsTraits(const T &t,const X &x) : T(t), _nodeTexts(x) {}
376 372
  };
377 373
  ///Sets the text printed on the nodes
378 374

	
379 375
  ///Sets the text printed on the nodes.
380 376
  ///\param x must be a node map with type that can be pushed to a standard
381 377
  ///\c ostream.
382 378
  template<class X> GraphToEps<NodeTextsTraits<X> > nodeTexts(const X &x)
383 379
  {
384 380
    dontPrint=true;
385 381
    _showNodeText=true;
386 382
    return GraphToEps<NodeTextsTraits<X> >(NodeTextsTraits<X>(*this,x));
387 383
  }
388 384
  template<class X> struct NodePsTextsTraits : public T {
389 385
    const X &_nodePsTexts;
390 386
    NodePsTextsTraits(const T &t,const X &x) : T(t), _nodePsTexts(x) {}
391 387
  };
392 388
  ///Inserts a PostScript block to the nodes
393 389

	
394 390
  ///With this command it is possible to insert a verbatim PostScript
395 391
  ///block to the nodes.
396 392
  ///The PS current point will be moved to the center of the node before
397 393
  ///the PostScript block inserted.
398 394
  ///
399 395
  ///Before and after the block a newline character is inserted so you
400 396
  ///don't have to bother with the separators.
401 397
  ///
402 398
  ///\param x must be a node map with type that can be pushed to a standard
403 399
  ///\c ostream.
404 400
  ///
405 401
  ///\sa nodePsTextsPreamble()
406 402
  template<class X> GraphToEps<NodePsTextsTraits<X> > nodePsTexts(const X &x)
407 403
  {
408 404
    dontPrint=true;
409 405
    _showNodePsText=true;
410 406
    return GraphToEps<NodePsTextsTraits<X> >(NodePsTextsTraits<X>(*this,x));
411 407
  }
412 408
  template<class X> struct ArcWidthsTraits : public T {
413 409
    const X &_arcWidths;
414 410
    ArcWidthsTraits(const T &t,const X &x) : T(t), _arcWidths(x) {}
415 411
  };
416 412
  ///Sets the map of the arc widths
417 413

	
418 414
  ///Sets the map of the arc widths.
419 415
  ///\param x must be an arc map with \c double (or convertible) values.
420 416
  template<class X> GraphToEps<ArcWidthsTraits<X> > arcWidths(const X &x)
421 417
  {
422 418
    dontPrint=true;
423 419
    return GraphToEps<ArcWidthsTraits<X> >(ArcWidthsTraits<X>(*this,x));
424 420
  }
425 421

	
426 422
  template<class X> struct NodeColorsTraits : public T {
427 423
    const X &_nodeColors;
428 424
    NodeColorsTraits(const T &t,const X &x) : T(t), _nodeColors(x) {}
429 425
  };
430 426
  ///Sets the map of the node colors
431 427

	
432 428
  ///Sets the map of the node colors.
433 429
  ///\param x must be a node map with \ref Color values.
434 430
  ///
435 431
  ///\sa Palette
436 432
  template<class X> GraphToEps<NodeColorsTraits<X> >
437 433
  nodeColors(const X &x)
438 434
  {
439 435
    dontPrint=true;
440 436
    return GraphToEps<NodeColorsTraits<X> >(NodeColorsTraits<X>(*this,x));
441 437
  }
442 438
  template<class X> struct NodeTextColorsTraits : public T {
443 439
    const X &_nodeTextColors;
444 440
    NodeTextColorsTraits(const T &t,const X &x) : T(t), _nodeTextColors(x) {}
445 441
  };
446 442
  ///Sets the map of the node text colors
447 443

	
448 444
  ///Sets the map of the node text colors.
449 445
  ///\param x must be a node map with \ref Color values.
450 446
  ///
451 447
  ///\sa Palette
452 448
  template<class X> GraphToEps<NodeTextColorsTraits<X> >
453 449
  nodeTextColors(const X &x)
454 450
  {
455 451
    dontPrint=true;
456 452
    _nodeTextColorType=CUST_COL;
457 453
    return GraphToEps<NodeTextColorsTraits<X> >
458 454
      (NodeTextColorsTraits<X>(*this,x));
459 455
  }
460 456
  template<class X> struct ArcColorsTraits : public T {
461 457
    const X &_arcColors;
462 458
    ArcColorsTraits(const T &t,const X &x) : T(t), _arcColors(x) {}
463 459
  };
464 460
  ///Sets the map of the arc colors
465 461

	
466 462
  ///Sets the map of the arc colors.
467 463
  ///\param x must be an arc map with \ref Color values.
468 464
  ///
469 465
  ///\sa Palette
470 466
  template<class X> GraphToEps<ArcColorsTraits<X> >
471 467
  arcColors(const X &x)
472 468
  {
473 469
    dontPrint=true;
474 470
    return GraphToEps<ArcColorsTraits<X> >(ArcColorsTraits<X>(*this,x));
475 471
  }
476 472
  ///Sets a global scale factor for node sizes
477 473

	
478 474
  ///Sets a global scale factor for node sizes.
479 475
  ///
480 476
  /// If nodeSizes() is not given, this function simply sets the node
481 477
  /// sizes to \c d.  If nodeSizes() is given, but
482 478
  /// autoNodeScale() is not, then the node size given by
483 479
  /// nodeSizes() will be multiplied by the value \c d.
484 480
  /// If both nodeSizes() and autoNodeScale() are used, then the
485 481
  /// node sizes will be scaled in such a way that the greatest size will be
486 482
  /// equal to \c d.
487 483
  /// \sa nodeSizes()
488 484
  /// \sa autoNodeScale()
489 485
  GraphToEps<T> &nodeScale(double d=.01) {_nodeScale=d;return *this;}
490 486
  ///Turns on/off the automatic node size scaling.
491 487

	
492 488
  ///Turns on/off the automatic node size scaling.
493 489
  ///
494 490
  ///\sa nodeScale()
495 491
  ///
496 492
  GraphToEps<T> &autoNodeScale(bool b=true) {
497 493
    _autoNodeScale=b;return *this;
498 494
  }
499 495

	
500 496
  ///Turns on/off the absolutematic node size scaling.
501 497

	
502 498
  ///Turns on/off the absolutematic node size scaling.
503 499
  ///
504 500
  ///\sa nodeScale()
505 501
  ///
506 502
  GraphToEps<T> &absoluteNodeSizes(bool b=true) {
507 503
    _absoluteNodeSizes=b;return *this;
508 504
  }
509 505

	
510 506
  ///Negates the Y coordinates.
511 507
  GraphToEps<T> &negateY(bool b=true) {
512 508
    _negY=b;return *this;
513 509
  }
514 510

	
515 511
  ///Turn on/off pre-scaling
516 512

	
517 513
  ///By default graphToEps() rescales the whole image in order to avoid
518 514
  ///very big or very small bounding boxes.
519 515
  ///
520 516
  ///This (p)rescaling can be turned off with this function.
521 517
  ///
522 518
  GraphToEps<T> &preScale(bool b=true) {
523 519
    _preScale=b;return *this;
524 520
  }
525 521

	
526 522
  ///Sets a global scale factor for arc widths
527 523

	
528 524
  /// Sets a global scale factor for arc widths.
529 525
  ///
530 526
  /// If arcWidths() is not given, this function simply sets the arc
531 527
  /// widths to \c d.  If arcWidths() is given, but
532 528
  /// autoArcWidthScale() is not, then the arc withs given by
533 529
  /// arcWidths() will be multiplied by the value \c d.
534 530
  /// If both arcWidths() and autoArcWidthScale() are used, then the
535 531
  /// arc withs will be scaled in such a way that the greatest width will be
536 532
  /// equal to \c d.
537 533
  GraphToEps<T> &arcWidthScale(double d=.003) {_arcWidthScale=d;return *this;}
538 534
  ///Turns on/off the automatic arc width scaling.
539 535

	
540 536
  ///Turns on/off the automatic arc width scaling.
541 537
  ///
542 538
  ///\sa arcWidthScale()
543 539
  ///
544 540
  GraphToEps<T> &autoArcWidthScale(bool b=true) {
545 541
    _autoArcWidthScale=b;return *this;
546 542
  }
547 543
  ///Turns on/off the absolutematic arc width scaling.
548 544

	
549 545
  ///Turns on/off the absolutematic arc width scaling.
550 546
  ///
551 547
  ///\sa arcWidthScale()
552 548
  ///
553 549
  GraphToEps<T> &absoluteArcWidths(bool b=true) {
554 550
    _absoluteArcWidths=b;return *this;
555 551
  }
556 552
  ///Sets a global scale factor for the whole picture
557 553
  GraphToEps<T> &scale(double d) {_scale=d;return *this;}
558 554
  ///Sets the width of the border around the picture
559 555
  GraphToEps<T> &border(double b=10) {_xBorder=_yBorder=b;return *this;}
560 556
  ///Sets the width of the border around the picture
561 557
  GraphToEps<T> &border(double x, double y) {
562 558
    _xBorder=x;_yBorder=y;return *this;
563 559
  }
564 560
  ///Sets whether to draw arrows
565 561
  GraphToEps<T> &drawArrows(bool b=true) {_drawArrows=b;return *this;}
566 562
  ///Sets the length of the arrowheads
567 563
  GraphToEps<T> &arrowLength(double d=1.0) {_arrowLength*=d;return *this;}
568 564
  ///Sets the width of the arrowheads
569 565
  GraphToEps<T> &arrowWidth(double d=.3) {_arrowWidth*=d;return *this;}
570 566

	
571 567
  ///Scales the drawing to fit to A4 page
572 568
  GraphToEps<T> &scaleToA4() {_scaleToA4=true;return *this;}
573 569

	
574 570
  ///Enables parallel arcs
575 571
  GraphToEps<T> &enableParallel(bool b=true) {_enableParallel=b;return *this;}
576 572

	
577 573
  ///Sets the distance between parallel arcs
578 574
  GraphToEps<T> &parArcDist(double d) {_parArcDist*=d;return *this;}
579 575

	
580 576
  ///Hides the arcs
581 577
  GraphToEps<T> &hideArcs(bool b=true) {_showArcs=!b;return *this;}
582 578
  ///Hides the nodes
583 579
  GraphToEps<T> &hideNodes(bool b=true) {_showNodes=!b;return *this;}
584 580

	
585 581
  ///Sets the size of the node texts
586 582
  GraphToEps<T> &nodeTextSize(double d) {_nodeTextSize=d;return *this;}
587 583

	
588 584
  ///Sets the color of the node texts to be different from the node color
589 585

	
590 586
  ///Sets the color of the node texts to be as different from the node color
591 587
  ///as it is possible.
592 588
  GraphToEps<T> &distantColorNodeTexts()
593 589
  {_nodeTextColorType=DIST_COL;return *this;}
594 590
  ///Sets the color of the node texts to be black or white and always visible.
595 591

	
596 592
  ///Sets the color of the node texts to be black or white according to
597 593
  ///which is more different from the node color.
598 594
  GraphToEps<T> &distantBWNodeTexts()
599 595
  {_nodeTextColorType=DIST_BW;return *this;}
600 596

	
601 597
  ///Gives a preamble block for node Postscript block.
602 598

	
603 599
  ///Gives a preamble block for node Postscript block.
604 600
  ///
605 601
  ///\sa nodePsTexts()
606 602
  GraphToEps<T> & nodePsTextsPreamble(const char *str) {
607 603
    _nodePsTextsPreamble=str ;return *this;
608 604
  }
609 605
  ///Sets whether the graph is undirected
610 606

	
611 607
  ///Sets whether the graph is undirected.
612 608
  ///
613 609
  ///This setting is the default for undirected graphs.
614 610
  ///
615 611
  ///\sa directed()
616 612
   GraphToEps<T> &undirected(bool b=true) {_undirected=b;return *this;}
617 613

	
618 614
  ///Sets whether the graph is directed
619 615

	
620 616
  ///Sets whether the graph is directed.
621 617
  ///Use it to show the edges as a pair of directed ones.
622 618
  ///
623 619
  ///This setting is the default for digraphs.
624 620
  ///
625 621
  ///\sa undirected()
626 622
  GraphToEps<T> &directed(bool b=true) {_undirected=!b;return *this;}
627 623

	
628 624
  ///Sets the title.
629 625

	
630 626
  ///Sets the title of the generated image,
631 627
  ///namely it inserts a <tt>%%Title:</tt> DSC field to the header of
632 628
  ///the EPS file.
633 629
  GraphToEps<T> &title(const std::string &t) {_title=t;return *this;}
634 630
  ///Sets the copyright statement.
635 631

	
636 632
  ///Sets the copyright statement of the generated image,
637 633
  ///namely it inserts a <tt>%%Copyright:</tt> DSC field to the header of
638 634
  ///the EPS file.
639 635
  GraphToEps<T> &copyright(const std::string &t) {_copyright=t;return *this;}
640 636

	
641 637
protected:
642 638
  bool isInsideNode(dim2::Point<double> p, double r,int t)
643 639
  {
644 640
    switch(t) {
645 641
    case CIRCLE:
646 642
    case MALE:
647 643
    case FEMALE:
648 644
      return p.normSquare()<=r*r;
649 645
    case SQUARE:
650 646
      return p.x<=r&&p.x>=-r&&p.y<=r&&p.y>=-r;
651 647
    case DIAMOND:
652 648
      return p.x+p.y<=r && p.x-p.y<=r && -p.x+p.y<=r && -p.x-p.y<=r;
653 649
    }
654 650
    return false;
655 651
  }
656 652

	
657 653
public:
658 654
  ~GraphToEps() { }
659 655

	
660 656
  ///Draws the graph.
661 657

	
662 658
  ///Like other functions using
663 659
  ///\ref named-templ-func-param "named template parameters",
664 660
  ///this function calls the algorithm itself, i.e. in this case
665 661
  ///it draws the graph.
666 662
  void run() {
667 663
    const double EPSILON=1e-9;
668 664
    if(dontPrint) return;
669 665

	
670 666
    _graph_to_eps_bits::_NegY<typename T::CoordsMapType>
671 667
      mycoords(_coords,_negY);
672 668

	
673 669
    os << "%!PS-Adobe-2.0 EPSF-2.0\n";
674 670
    if(_title.size()>0) os << "%%Title: " << _title << '\n';
675 671
     if(_copyright.size()>0) os << "%%Copyright: " << _copyright << '\n';
676 672
    os << "%%Creator: LEMON, graphToEps()\n";
677 673

	
678 674
    {
679 675
      os << "%%CreationDate: ";
680 676
#ifndef WIN32
681 677
      timeval tv;
682 678
      gettimeofday(&tv, 0);
683 679

	
684 680
      char cbuf[26];
685 681
      ctime_r(&tv.tv_sec,cbuf);
686 682
      os << cbuf;
687 683
#else
688 684
      os << bits::getWinFormattedDate();
689 685
#endif
690 686
    }
691 687
    os << std::endl;
692 688

	
693 689
    if (_autoArcWidthScale) {
694 690
      double max_w=0;
695 691
      for(ArcIt e(g);e!=INVALID;++e)
696 692
        max_w=std::max(double(_arcWidths[e]),max_w);
697 693
      if(max_w>EPSILON) {
698 694
        _arcWidthScale/=max_w;
699 695
      }
700 696
    }
701 697

	
702 698
    if (_autoNodeScale) {
703 699
      double max_s=0;
704 700
      for(NodeIt n(g);n!=INVALID;++n)
705 701
        max_s=std::max(double(_nodeSizes[n]),max_s);
706 702
      if(max_s>EPSILON) {
707 703
        _nodeScale/=max_s;
708 704
      }
709 705
    }
710 706

	
711 707
    double diag_len = 1;
712 708
    if(!(_absoluteNodeSizes&&_absoluteArcWidths)) {
713 709
      dim2::Box<double> bb;
714 710
      for(NodeIt n(g);n!=INVALID;++n) bb.add(mycoords[n]);
715 711
      if (bb.empty()) {
716 712
        bb = dim2::Box<double>(dim2::Point<double>(0,0));
717 713
      }
718 714
      diag_len = std::sqrt((bb.bottomLeft()-bb.topRight()).normSquare());
719 715
      if(diag_len<EPSILON) diag_len = 1;
720 716
      if(!_absoluteNodeSizes) _nodeScale*=diag_len;
721 717
      if(!_absoluteArcWidths) _arcWidthScale*=diag_len;
722 718
    }
723 719

	
724 720
    dim2::Box<double> bb;
725 721
    for(NodeIt n(g);n!=INVALID;++n) {
726 722
      double ns=_nodeSizes[n]*_nodeScale;
727 723
      dim2::Point<double> p(ns,ns);
728 724
      switch(_nodeShapes[n]) {
729 725
      case CIRCLE:
730 726
      case SQUARE:
731 727
      case DIAMOND:
732 728
        bb.add(p+mycoords[n]);
733 729
        bb.add(-p+mycoords[n]);
734 730
        break;
735 731
      case MALE:
736 732
        bb.add(-p+mycoords[n]);
737 733
        bb.add(dim2::Point<double>(1.5*ns,1.5*std::sqrt(3.0)*ns)+mycoords[n]);
738 734
        break;
739 735
      case FEMALE:
740 736
        bb.add(p+mycoords[n]);
741 737
        bb.add(dim2::Point<double>(-ns,-3.01*ns)+mycoords[n]);
742 738
        break;
743 739
      }
744 740
    }
745 741
    if (bb.empty()) {
746 742
      bb = dim2::Box<double>(dim2::Point<double>(0,0));
747 743
    }
748 744

	
749 745
    if(_scaleToA4)
750 746
      os <<"%%BoundingBox: 0 0 596 842\n%%DocumentPaperSizes: a4\n";
751 747
    else {
752 748
      if(_preScale) {
753 749
        //Rescale so that BoundingBox won't be neither to big nor too small.
754 750
        while(bb.height()*_scale>1000||bb.width()*_scale>1000) _scale/=10;
755 751
        while(bb.height()*_scale<100||bb.width()*_scale<100) _scale*=10;
756 752
      }
757 753

	
758 754
      os << "%%BoundingBox: "
759 755
         << int(floor(bb.left()   * _scale - _xBorder)) << ' '
760 756
         << int(floor(bb.bottom() * _scale - _yBorder)) << ' '
761 757
         << int(ceil(bb.right()  * _scale + _xBorder)) << ' '
762 758
         << int(ceil(bb.top()    * _scale + _yBorder)) << '\n';
763 759
    }
764 760

	
765 761
    os << "%%EndComments\n";
766 762

	
767 763
    //x1 y1 x2 y2 x3 y3 cr cg cb w
768 764
    os << "/lb { setlinewidth setrgbcolor newpath moveto\n"
769 765
       << "      4 2 roll 1 index 1 index curveto stroke } bind def\n";
770 766
    os << "/l { setlinewidth setrgbcolor newpath moveto lineto stroke }"
771 767
       << " bind def\n";
772 768
    //x y r
773 769
    os << "/c { newpath dup 3 index add 2 index moveto 0 360 arc closepath }"
774 770
       << " bind def\n";
775 771
    //x y r
776 772
    os << "/sq { newpath 2 index 1 index add 2 index 2 index add moveto\n"
777 773
       << "      2 index 1 index sub 2 index 2 index add lineto\n"
778 774
       << "      2 index 1 index sub 2 index 2 index sub lineto\n"
779 775
       << "      2 index 1 index add 2 index 2 index sub lineto\n"
780 776
       << "      closepath pop pop pop} bind def\n";
781 777
    //x y r
782 778
    os << "/di { newpath 2 index 1 index add 2 index moveto\n"
783 779
       << "      2 index             2 index 2 index add lineto\n"
784 780
       << "      2 index 1 index sub 2 index             lineto\n"
785 781
       << "      2 index             2 index 2 index sub lineto\n"
786 782
       << "      closepath pop pop pop} bind def\n";
787 783
    // x y r cr cg cb
788 784
    os << "/nc { 0 0 0 setrgbcolor 5 index 5 index 5 index c fill\n"
789 785
       << "     setrgbcolor " << 1+_nodeBorderQuotient << " div c fill\n"
790 786
       << "   } bind def\n";
791 787
    os << "/nsq { 0 0 0 setrgbcolor 5 index 5 index 5 index sq fill\n"
792 788
       << "     setrgbcolor " << 1+_nodeBorderQuotient << " div sq fill\n"
793 789
       << "   } bind def\n";
794 790
    os << "/ndi { 0 0 0 setrgbcolor 5 index 5 index 5 index di fill\n"
795 791
       << "     setrgbcolor " << 1+_nodeBorderQuotient << " div di fill\n"
796 792
       << "   } bind def\n";
797 793
    os << "/nfemale { 0 0 0 setrgbcolor 3 index "
798 794
       << _nodeBorderQuotient/(1+_nodeBorderQuotient)
799 795
       << " 1.5 mul mul setlinewidth\n"
800 796
       << "  newpath 5 index 5 index moveto "
801 797
       << "5 index 5 index 5 index 3.01 mul sub\n"
802 798
       << "  lineto 5 index 4 index .7 mul sub 5 index 5 index 2.2 mul sub"
803 799
       << " moveto\n"
804 800
       << "  5 index 4 index .7 mul add 5 index 5 index 2.2 mul sub lineto "
805 801
       << "stroke\n"
806 802
       << "  5 index 5 index 5 index c fill\n"
807 803
       << "  setrgbcolor " << 1+_nodeBorderQuotient << " div c fill\n"
808 804
       << "  } bind def\n";
809 805
    os << "/nmale {\n"
810 806
       << "  0 0 0 setrgbcolor 3 index "
811 807
       << _nodeBorderQuotient/(1+_nodeBorderQuotient)
812 808
       <<" 1.5 mul mul setlinewidth\n"
813 809
       << "  newpath 5 index 5 index moveto\n"
814 810
       << "  5 index 4 index 1 mul 1.5 mul add\n"
815 811
       << "  5 index 5 index 3 sqrt 1.5 mul mul add\n"
816 812
       << "  1 index 1 index lineto\n"
817 813
       << "  1 index 1 index 7 index sub moveto\n"
818 814
       << "  1 index 1 index lineto\n"
819 815
       << "  exch 5 index 3 sqrt .5 mul mul sub exch 5 index .5 mul sub"
820 816
       << " lineto\n"
821 817
       << "  stroke\n"
822 818
       << "  5 index 5 index 5 index c fill\n"
823 819
       << "  setrgbcolor " << 1+_nodeBorderQuotient << " div c fill\n"
824 820
       << "  } bind def\n";
825 821

	
826 822

	
827 823
    os << "/arrl " << _arrowLength << " def\n";
828 824
    os << "/arrw " << _arrowWidth << " def\n";
829 825
    // l dx_norm dy_norm
830 826
    os << "/lrl { 2 index mul exch 2 index mul exch rlineto pop} bind def\n";
831 827
    //len w dx_norm dy_norm x1 y1 cr cg cb
832 828
    os << "/arr { setrgbcolor /y1 exch def /x1 exch def /dy exch def /dx "
833 829
       << "exch def\n"
834 830
       << "       /w exch def /len exch def\n"
835 831
      //<< "0.1 setlinewidth x1 y1 moveto dx len mul dy len mul rlineto stroke"
836 832
       << "       newpath x1 dy w 2 div mul add y1 dx w 2 div mul sub moveto\n"
837 833
       << "       len w sub arrl sub dx dy lrl\n"
838 834
       << "       arrw dy dx neg lrl\n"
839 835
       << "       dx arrl w add mul dy w 2 div arrw add mul sub\n"
840 836
       << "       dy arrl w add mul dx w 2 div arrw add mul add rlineto\n"
841 837
       << "       dx arrl w add mul neg dy w 2 div arrw add mul sub\n"
842 838
       << "       dy arrl w add mul neg dx w 2 div arrw add mul add rlineto\n"
843 839
       << "       arrw dy dx neg lrl\n"
844 840
       << "       len w sub arrl sub neg dx dy lrl\n"
845 841
       << "       closepath fill } bind def\n";
846 842
    os << "/cshow { 2 index 2 index moveto dup stringwidth pop\n"
847 843
       << "         neg 2 div fosi .35 mul neg rmoveto show pop pop} def\n";
848 844

	
849 845
    os << "\ngsave\n";
850 846
    if(_scaleToA4)
851 847
      if(bb.height()>bb.width()) {
852 848
        double sc= std::min((A4HEIGHT-2*A4BORDER)/bb.height(),
853 849
                  (A4WIDTH-2*A4BORDER)/bb.width());
854 850
        os << ((A4WIDTH -2*A4BORDER)-sc*bb.width())/2 + A4BORDER << ' '
855 851
           << ((A4HEIGHT-2*A4BORDER)-sc*bb.height())/2 + A4BORDER
856 852
           << " translate\n"
857 853
           << sc << " dup scale\n"
858 854
           << -bb.left() << ' ' << -bb.bottom() << " translate\n";
859 855
      }
860 856
      else {
861 857
        double sc= std::min((A4HEIGHT-2*A4BORDER)/bb.width(),
862 858
                  (A4WIDTH-2*A4BORDER)/bb.height());
863 859
        os << ((A4WIDTH -2*A4BORDER)-sc*bb.height())/2 + A4BORDER << ' '
864 860
           << ((A4HEIGHT-2*A4BORDER)-sc*bb.width())/2 + A4BORDER
865 861
           << " translate\n"
866 862
           << sc << " dup scale\n90 rotate\n"
867 863
           << -bb.left() << ' ' << -bb.top() << " translate\n";
868 864
        }
869 865
    else if(_scale!=1.0) os << _scale << " dup scale\n";
870 866

	
871 867
    if(_showArcs) {
872 868
      os << "%Arcs:\ngsave\n";
873 869
      if(_enableParallel) {
874 870
        std::vector<Arc> el;
875 871
        for(ArcIt e(g);e!=INVALID;++e)
876 872
          if((!_undirected||g.source(e)<g.target(e))&&_arcWidths[e]>0
877 873
             &&g.source(e)!=g.target(e))
878 874
            el.push_back(e);
879 875
        std::sort(el.begin(),el.end(),arcLess(g));
880 876

	
881 877
        typename std::vector<Arc>::iterator j;
882 878
        for(typename std::vector<Arc>::iterator i=el.begin();i!=el.end();i=j) {
883 879
          for(j=i+1;j!=el.end()&&isParallel(*i,*j);++j) ;
884 880

	
885 881
          double sw=0;
886 882
          for(typename std::vector<Arc>::iterator e=i;e!=j;++e)
887 883
            sw+=_arcWidths[*e]*_arcWidthScale+_parArcDist;
888 884
          sw-=_parArcDist;
889 885
          sw/=-2.0;
890 886
          dim2::Point<double>
891 887
            dvec(mycoords[g.target(*i)]-mycoords[g.source(*i)]);
892 888
          double l=std::sqrt(dvec.normSquare());
893 889
          dim2::Point<double> d(dvec/std::max(l,EPSILON));
894 890
          dim2::Point<double> m;
895 891
//           m=dim2::Point<double>(mycoords[g.target(*i)]+
896 892
//                                 mycoords[g.source(*i)])/2.0;
897 893

	
898 894
//            m=dim2::Point<double>(mycoords[g.source(*i)])+
899 895
//             dvec*(double(_nodeSizes[g.source(*i)])/
900 896
//                (_nodeSizes[g.source(*i)]+_nodeSizes[g.target(*i)]));
901 897

	
902 898
          m=dim2::Point<double>(mycoords[g.source(*i)])+
903 899
            d*(l+_nodeSizes[g.source(*i)]-_nodeSizes[g.target(*i)])/2.0;
904 900

	
905 901
          for(typename std::vector<Arc>::iterator e=i;e!=j;++e) {
906 902
            sw+=_arcWidths[*e]*_arcWidthScale/2.0;
907 903
            dim2::Point<double> mm=m+rot90(d)*sw/.75;
908 904
            if(_drawArrows) {
909 905
              int node_shape;
910 906
              dim2::Point<double> s=mycoords[g.source(*e)];
911 907
              dim2::Point<double> t=mycoords[g.target(*e)];
912 908
              double rn=_nodeSizes[g.target(*e)]*_nodeScale;
913 909
              node_shape=_nodeShapes[g.target(*e)];
914 910
              dim2::Bezier3 bez(s,mm,mm,t);
915 911
              double t1=0,t2=1;
916 912
              for(int ii=0;ii<INTERPOL_PREC;++ii)
917 913
                if(isInsideNode(bez((t1+t2)/2)-t,rn,node_shape)) t2=(t1+t2)/2;
918 914
                else t1=(t1+t2)/2;
919 915
              dim2::Point<double> apoint=bez((t1+t2)/2);
920 916
              rn = _arrowLength+_arcWidths[*e]*_arcWidthScale;
921 917
              rn*=rn;
922 918
              t2=(t1+t2)/2;t1=0;
923 919
              for(int ii=0;ii<INTERPOL_PREC;++ii)
924 920
                if((bez((t1+t2)/2)-apoint).normSquare()>rn) t1=(t1+t2)/2;
925 921
                else t2=(t1+t2)/2;
926 922
              dim2::Point<double> linend=bez((t1+t2)/2);
927 923
              bez=bez.before((t1+t2)/2);
928 924
//               rn=_nodeSizes[g.source(*e)]*_nodeScale;
929 925
//               node_shape=_nodeShapes[g.source(*e)];
930 926
//               t1=0;t2=1;
931 927
//               for(int i=0;i<INTERPOL_PREC;++i)
932 928
//                 if(isInsideNode(bez((t1+t2)/2)-t,rn,node_shape))
933 929
//                   t1=(t1+t2)/2;
934 930
//                 else t2=(t1+t2)/2;
935 931
//               bez=bez.after((t1+t2)/2);
936 932
              os << _arcWidths[*e]*_arcWidthScale << " setlinewidth "
937 933
                 << _arcColors[*e].red() << ' '
938 934
                 << _arcColors[*e].green() << ' '
939 935
                 << _arcColors[*e].blue() << " setrgbcolor newpath\n"
940 936
                 << bez.p1.x << ' ' <<  bez.p1.y << " moveto\n"
941 937
                 << bez.p2.x << ' ' << bez.p2.y << ' '
942 938
                 << bez.p3.x << ' ' << bez.p3.y << ' '
943 939
                 << bez.p4.x << ' ' << bez.p4.y << " curveto stroke\n";
944 940
              dim2::Point<double> dd(rot90(linend-apoint));
945 941
              dd*=(.5*_arcWidths[*e]*_arcWidthScale+_arrowWidth)/
946 942
                std::sqrt(dd.normSquare());
947 943
              os << "newpath " << psOut(apoint) << " moveto "
948 944
                 << psOut(linend+dd) << " lineto "
949 945
                 << psOut(linend-dd) << " lineto closepath fill\n";
950 946
            }
951 947
            else {
952 948
              os << mycoords[g.source(*e)].x << ' '
953 949
                 << mycoords[g.source(*e)].y << ' '
954 950
                 << mm.x << ' ' << mm.y << ' '
955 951
                 << mycoords[g.target(*e)].x << ' '
956 952
                 << mycoords[g.target(*e)].y << ' '
957 953
                 << _arcColors[*e].red() << ' '
958 954
                 << _arcColors[*e].green() << ' '
959 955
                 << _arcColors[*e].blue() << ' '
960 956
                 << _arcWidths[*e]*_arcWidthScale << " lb\n";
961 957
            }
962 958
            sw+=_arcWidths[*e]*_arcWidthScale/2.0+_parArcDist;
963 959
          }
964 960
        }
965 961
      }
966 962
      else for(ArcIt e(g);e!=INVALID;++e)
967 963
        if((!_undirected||g.source(e)<g.target(e))&&_arcWidths[e]>0
968 964
           &&g.source(e)!=g.target(e)) {
969 965
          if(_drawArrows) {
970 966
            dim2::Point<double> d(mycoords[g.target(e)]-mycoords[g.source(e)]);
971 967
            double rn=_nodeSizes[g.target(e)]*_nodeScale;
972 968
            int node_shape=_nodeShapes[g.target(e)];
973 969
            double t1=0,t2=1;
974 970
            for(int i=0;i<INTERPOL_PREC;++i)
975 971
              if(isInsideNode((-(t1+t2)/2)*d,rn,node_shape)) t1=(t1+t2)/2;
976 972
              else t2=(t1+t2)/2;
977 973
            double l=std::sqrt(d.normSquare());
978 974
            d/=l;
979 975

	
980 976
            os << l*(1-(t1+t2)/2) << ' '
981 977
               << _arcWidths[e]*_arcWidthScale << ' '
982 978
               << d.x << ' ' << d.y << ' '
983 979
               << mycoords[g.source(e)].x << ' '
984 980
               << mycoords[g.source(e)].y << ' '
985 981
               << _arcColors[e].red() << ' '
986 982
               << _arcColors[e].green() << ' '
987 983
               << _arcColors[e].blue() << " arr\n";
988 984
          }
989 985
          else os << mycoords[g.source(e)].x << ' '
990 986
                  << mycoords[g.source(e)].y << ' '
991 987
                  << mycoords[g.target(e)].x << ' '
992 988
                  << mycoords[g.target(e)].y << ' '
993 989
                  << _arcColors[e].red() << ' '
994 990
                  << _arcColors[e].green() << ' '
995 991
                  << _arcColors[e].blue() << ' '
996 992
                  << _arcWidths[e]*_arcWidthScale << " l\n";
997 993
        }
998 994
      os << "grestore\n";
999 995
    }
1000 996
    if(_showNodes) {
1001 997
      os << "%Nodes:\ngsave\n";
1002 998
      for(NodeIt n(g);n!=INVALID;++n) {
1003 999
        os << mycoords[n].x << ' ' << mycoords[n].y << ' '
1004 1000
           << _nodeSizes[n]*_nodeScale << ' '
1005 1001
           << _nodeColors[n].red() << ' '
1006 1002
           << _nodeColors[n].green() << ' '
1007 1003
           << _nodeColors[n].blue() << ' ';
1008 1004
        switch(_nodeShapes[n]) {
1009 1005
        case CIRCLE:
1010 1006
          os<< "nc";break;
1011 1007
        case SQUARE:
1012 1008
          os<< "nsq";break;
1013 1009
        case DIAMOND:
1014 1010
          os<< "ndi";break;
1015 1011
        case MALE:
1016 1012
          os<< "nmale";break;
1017 1013
        case FEMALE:
1018 1014
          os<< "nfemale";break;
1019 1015
        }
1020 1016
        os<<'\n';
1021 1017
      }
1022 1018
      os << "grestore\n";
1023 1019
    }
1024 1020
    if(_showNodeText) {
1025 1021
      os << "%Node texts:\ngsave\n";
1026 1022
      os << "/fosi " << _nodeTextSize << " def\n";
1027 1023
      os << "(Helvetica) findfont fosi scalefont setfont\n";
1028 1024
      for(NodeIt n(g);n!=INVALID;++n) {
1029 1025
        switch(_nodeTextColorType) {
1030 1026
        case DIST_COL:
1031 1027
          os << psOut(distantColor(_nodeColors[n])) << " setrgbcolor\n";
1032 1028
          break;
1033 1029
        case DIST_BW:
1034 1030
          os << psOut(distantBW(_nodeColors[n])) << " setrgbcolor\n";
1035 1031
          break;
1036 1032
        case CUST_COL:
1037 1033
          os << psOut(distantColor(_nodeTextColors[n])) << " setrgbcolor\n";
1038 1034
          break;
1039 1035
        default:
1040 1036
          os << "0 0 0 setrgbcolor\n";
1041 1037
        }
1042 1038
        os << mycoords[n].x << ' ' << mycoords[n].y
1043 1039
           << " (" << _nodeTexts[n] << ") cshow\n";
1044 1040
      }
1045 1041
      os << "grestore\n";
1046 1042
    }
1047 1043
    if(_showNodePsText) {
1048 1044
      os << "%Node PS blocks:\ngsave\n";
1049 1045
      for(NodeIt n(g);n!=INVALID;++n)
1050 1046
        os << mycoords[n].x << ' ' << mycoords[n].y
1051 1047
           << " moveto\n" << _nodePsTexts[n] << "\n";
1052 1048
      os << "grestore\n";
1053 1049
    }
1054 1050

	
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
#ifndef LEMON_KRUSKAL_H
20 20
#define LEMON_KRUSKAL_H
21 21

	
22 22
#include <algorithm>
23 23
#include <vector>
24 24
#include <lemon/unionfind.h>
25 25
#include <lemon/maps.h>
26 26

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

	
30 30
///\ingroup spantree
31 31
///\file
32 32
///\brief Kruskal's algorithm to compute a minimum cost spanning tree
33 33
///
34 34
///Kruskal's algorithm to compute a minimum cost spanning tree.
35 35
///
36 36

	
37 37
namespace lemon {
38 38

	
39 39
  namespace _kruskal_bits {
40 40

	
41 41
    // Kruskal for directed graphs.
42 42

	
43 43
    template <typename Digraph, typename In, typename Out>
44 44
    typename disable_if<lemon::UndirectedTagIndicator<Digraph>,
45 45
                       typename In::value_type::second_type >::type
46 46
    kruskal(const Digraph& digraph, const In& in, Out& out,dummy<0> = 0) {
47 47
      typedef typename In::value_type::second_type Value;
48 48
      typedef typename Digraph::template NodeMap<int> IndexMap;
49 49
      typedef typename Digraph::Node Node;
50 50

	
51 51
      IndexMap index(digraph);
52 52
      UnionFind<IndexMap> uf(index);
53 53
      for (typename Digraph::NodeIt it(digraph); it != INVALID; ++it) {
54 54
        uf.insert(it);
55 55
      }
56 56

	
57 57
      Value tree_value = 0;
58 58
      for (typename In::const_iterator it = in.begin(); it != in.end(); ++it) {
59 59
        if (uf.join(digraph.target(it->first),digraph.source(it->first))) {
60 60
          out.set(it->first, true);
61 61
          tree_value += it->second;
62 62
        }
63 63
        else {
64 64
          out.set(it->first, false);
65 65
        }
66 66
      }
67 67
      return tree_value;
68 68
    }
69 69

	
70 70
    // Kruskal for undirected graphs.
71 71

	
72 72
    template <typename Graph, typename In, typename Out>
73 73
    typename enable_if<lemon::UndirectedTagIndicator<Graph>,
74 74
                       typename In::value_type::second_type >::type
75 75
    kruskal(const Graph& graph, const In& in, Out& out,dummy<1> = 1) {
76 76
      typedef typename In::value_type::second_type Value;
77 77
      typedef typename Graph::template NodeMap<int> IndexMap;
78 78
      typedef typename Graph::Node Node;
79 79

	
80 80
      IndexMap index(graph);
81 81
      UnionFind<IndexMap> uf(index);
82 82
      for (typename Graph::NodeIt it(graph); it != INVALID; ++it) {
83 83
        uf.insert(it);
84 84
      }
85 85

	
86 86
      Value tree_value = 0;
87 87
      for (typename In::const_iterator it = in.begin(); it != in.end(); ++it) {
88 88
        if (uf.join(graph.u(it->first),graph.v(it->first))) {
89 89
          out.set(it->first, true);
90 90
          tree_value += it->second;
91 91
        }
92 92
        else {
93 93
          out.set(it->first, false);
94 94
        }
95 95
      }
96 96
      return tree_value;
97 97
    }
98 98

	
99 99

	
100 100
    template <typename Sequence>
101 101
    struct PairComp {
102 102
      typedef typename Sequence::value_type Value;
103 103
      bool operator()(const Value& left, const Value& right) {
104 104
        return left.second < right.second;
105 105
      }
106 106
    };
107 107

	
108 108
    template <typename In, typename Enable = void>
109 109
    struct SequenceInputIndicator {
110 110
      static const bool value = false;
111 111
    };
112 112

	
113 113
    template <typename In>
114 114
    struct SequenceInputIndicator<In,
115 115
      typename exists<typename In::value_type::first_type>::type> {
116 116
      static const bool value = true;
117 117
    };
118 118

	
119 119
    template <typename In, typename Enable = void>
120 120
    struct MapInputIndicator {
121 121
      static const bool value = false;
122 122
    };
123 123

	
124 124
    template <typename In>
125 125
    struct MapInputIndicator<In,
126 126
      typename exists<typename In::Value>::type> {
127 127
      static const bool value = true;
128 128
    };
129 129

	
130 130
    template <typename In, typename Enable = void>
131 131
    struct SequenceOutputIndicator {
132 132
      static const bool value = false;
133 133
    };
134 134

	
135 135
    template <typename Out>
136 136
    struct SequenceOutputIndicator<Out,
137 137
      typename exists<typename Out::value_type>::type> {
138 138
      static const bool value = true;
139 139
    };
140 140

	
141 141
    template <typename Out, typename Enable = void>
142 142
    struct MapOutputIndicator {
143 143
      static const bool value = false;
144 144
    };
145 145

	
146 146
    template <typename Out>
147 147
    struct MapOutputIndicator<Out,
148 148
      typename exists<typename Out::Value>::type> {
149 149
      static const bool value = true;
150 150
    };
151 151

	
152 152
    template <typename In, typename InEnable = void>
153 153
    struct KruskalValueSelector {};
154 154

	
155 155
    template <typename In>
156 156
    struct KruskalValueSelector<In,
157 157
      typename enable_if<SequenceInputIndicator<In>, void>::type>
158 158
    {
159 159
      typedef typename In::value_type::second_type Value;
160 160
    };
161 161

	
162 162
    template <typename In>
163 163
    struct KruskalValueSelector<In,
164 164
      typename enable_if<MapInputIndicator<In>, void>::type>
165 165
    {
166 166
      typedef typename In::Value Value;
167 167
    };
168 168

	
169 169
    template <typename Graph, typename In, typename Out,
170 170
              typename InEnable = void>
171 171
    struct KruskalInputSelector {};
172 172

	
173 173
    template <typename Graph, typename In, typename Out,
174 174
              typename InEnable = void>
175 175
    struct KruskalOutputSelector {};
176 176

	
177 177
    template <typename Graph, typename In, typename Out>
178 178
    struct KruskalInputSelector<Graph, In, Out,
179 179
      typename enable_if<SequenceInputIndicator<In>, void>::type >
180 180
    {
181 181
      typedef typename In::value_type::second_type Value;
182 182

	
183 183
      static Value kruskal(const Graph& graph, const In& in, Out& out) {
184 184
        return KruskalOutputSelector<Graph, In, Out>::
185 185
          kruskal(graph, in, out);
186 186
      }
187 187

	
188 188
    };
189 189

	
190 190
    template <typename Graph, typename In, typename Out>
191 191
    struct KruskalInputSelector<Graph, In, Out,
192 192
      typename enable_if<MapInputIndicator<In>, void>::type >
193 193
    {
194 194
      typedef typename In::Value Value;
195 195
      static Value kruskal(const Graph& graph, const In& in, Out& out) {
196 196
        typedef typename In::Key MapArc;
197 197
        typedef typename In::Value Value;
198 198
        typedef typename ItemSetTraits<Graph, MapArc>::ItemIt MapArcIt;
199 199
        typedef std::vector<std::pair<MapArc, Value> > Sequence;
200 200
        Sequence seq;
201 201

	
202 202
        for (MapArcIt it(graph); it != INVALID; ++it) {
203 203
          seq.push_back(std::make_pair(it, in[it]));
204 204
        }
205 205

	
206 206
        std::sort(seq.begin(), seq.end(), PairComp<Sequence>());
207 207
        return KruskalOutputSelector<Graph, Sequence, Out>::
208 208
          kruskal(graph, seq, out);
209 209
      }
210 210
    };
211 211

	
212 212
    template <typename T>
213 213
    struct RemoveConst {
214 214
      typedef T type;
215 215
    };
216 216

	
217 217
    template <typename T>
218 218
    struct RemoveConst<const T> {
219 219
      typedef T type;
220 220
    };
221 221

	
222 222
    template <typename Graph, typename In, typename Out>
223 223
    struct KruskalOutputSelector<Graph, In, Out,
224 224
      typename enable_if<SequenceOutputIndicator<Out>, void>::type >
225 225
    {
226 226
      typedef typename In::value_type::second_type Value;
227 227

	
228 228
      static Value kruskal(const Graph& graph, const In& in, Out& out) {
229 229
        typedef LoggerBoolMap<typename RemoveConst<Out>::type> Map;
230 230
        Map map(out);
231 231
        return _kruskal_bits::kruskal(graph, in, map);
232 232
      }
233 233

	
234 234
    };
235 235

	
236 236
    template <typename Graph, typename In, typename Out>
237 237
    struct KruskalOutputSelector<Graph, In, Out,
238 238
      typename enable_if<MapOutputIndicator<Out>, void>::type >
239 239
    {
240 240
      typedef typename In::value_type::second_type Value;
241 241

	
242 242
      static Value kruskal(const Graph& graph, const In& in, Out& out) {
243 243
        return _kruskal_bits::kruskal(graph, in, out);
244 244
      }
245 245
    };
246 246

	
247 247
  }
248 248

	
249 249
  /// \ingroup spantree
250 250
  ///
251
  /// \brief Kruskal algorithm to find a minimum cost spanning tree of
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  /// \brief Kruskal's algorithm for finding a minimum cost spanning tree of
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  /// a graph.
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  ///
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  /// This function runs Kruskal's algorithm to find a minimum cost
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  /// spanning tree.
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  /// spanning tree of a graph.
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  /// Due to some C++ hacking, it accepts various input and output types.
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  ///
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  /// \param g The graph the algorithm runs on.
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  /// It can be either \ref concepts::Digraph "directed" or
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  /// \ref concepts::Graph "undirected".
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  /// If the graph is directed, the algorithm consider it to be
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  /// undirected by disregarding the direction of the arcs.
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  ///
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  /// \param in This object is used to describe the arc/edge costs.
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  /// It can be one of the following choices.
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  /// - An STL compatible 'Forward Container' with
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  /// <tt>std::pair<GR::Arc,X></tt> or
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  /// <tt>std::pair<GR::Edge,X></tt> as its <tt>value_type</tt>, where
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  /// \c X is the type of the costs. The pairs indicates the arcs/edges
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  /// <tt>std::pair<GR::Arc,C></tt> or
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  /// <tt>std::pair<GR::Edge,C></tt> as its <tt>value_type</tt>, where
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  /// \c C is the type of the costs. The pairs indicates the arcs/edges
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  /// along with the assigned cost. <em>They must be in a
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  /// cost-ascending order.</em>
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  /// - Any readable arc/edge map. The values of the map indicate the
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  /// arc/edge costs.
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  ///
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  /// \retval out Here we also have a choice.
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  /// - It can be a writable \c bool arc/edge map. After running the
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  /// algorithm it will contain the found minimum cost spanning
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  /// - It can be a writable arc/edge map with \c bool value type. After
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  /// running the algorithm it will contain the found minimum cost spanning
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  /// tree: the value of an arc/edge will be set to \c true if it belongs
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  /// to the tree, otherwise it will be set to \c false. The value of
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  /// each arc/edge will be set exactly once.
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  /// - It can also be an iteraror of an STL Container with
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  /// <tt>GR::Arc</tt> or <tt>GR::Edge</tt> as its
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  /// <tt>value_type</tt>.  The algorithm copies the elements of the
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  /// found tree into this sequence.  For example, if we know that the
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  /// spanning tree of the graph \c g has say 53 arcs, then we can
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  /// put its arcs into an STL vector \c tree with a code like this.
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  ///\code
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  /// std::vector<Arc> tree(53);
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  /// kruskal(g,cost,tree.begin());
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  ///\endcode
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  /// Or if we don't know in advance the size of the tree, we can
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  /// write this.
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  ///\code
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  /// std::vector<Arc> tree;
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  /// kruskal(g,cost,std::back_inserter(tree));
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  ///\endcode
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  ///
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  /// \return The total cost of the found spanning tree.
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  ///
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  /// \note If the input graph is not (weakly) connected, a spanning
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  /// forest is calculated instead of a spanning tree.
302 302

	
303 303
#ifdef DOXYGEN
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  template <class Graph, class In, class Out>
305
  Value kruskal(GR const& g, const In& in, Out& out)
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  template <typename Graph, typename In, typename Out>
305
  Value kruskal(const Graph& g, const In& in, Out& out)
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#else
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  template <class Graph, class In, class Out>
308 308
  inline typename _kruskal_bits::KruskalValueSelector<In>::Value
309 309
  kruskal(const Graph& graph, const In& in, Out& out)
310 310
#endif
311 311
  {
312 312
    return _kruskal_bits::KruskalInputSelector<Graph, In, Out>::
313 313
      kruskal(graph, in, out);
314 314
  }
315 315

	
316 316

	
317

	
318

	
319 317
  template <class Graph, class In, class Out>
320 318
  inline typename _kruskal_bits::KruskalValueSelector<In>::Value
321 319
  kruskal(const Graph& graph, const In& in, const Out& out)
322 320
  {
323 321
    return _kruskal_bits::KruskalInputSelector<Graph, In, const Out>::
324 322
      kruskal(graph, in, out);
325 323
  }
326 324

	
327 325
} //namespace lemon
328 326

	
329 327
#endif //LEMON_KRUSKAL_H

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