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/* -*- 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). |
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* |
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* Permission to use, modify and distribute this software is granted |
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* provided that this copyright notice appears in all copies. For |
11 | 11 |
* precise terms see the accompanying LICENSE file. |
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* |
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* 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 |
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* purpose. |
16 | 16 |
* |
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*/ |
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|
19 | 19 |
#ifndef LEMON_BITS_GRAPH_EXTENDER_H |
20 | 20 |
#define LEMON_BITS_GRAPH_EXTENDER_H |
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|
22 | 22 |
#include <lemon/core.h> |
23 | 23 |
|
24 | 24 |
#include <lemon/bits/map_extender.h> |
25 | 25 |
#include <lemon/bits/default_map.h> |
26 | 26 |
|
27 | 27 |
#include <lemon/concept_check.h> |
28 | 28 |
#include <lemon/concepts/maps.h> |
29 | 29 |
|
30 | 30 |
//\ingroup graphbits |
31 | 31 |
//\file |
32 | 32 |
//\brief Extenders for the graph types |
33 | 33 |
namespace lemon { |
34 | 34 |
|
35 | 35 |
// \ingroup graphbits |
36 | 36 |
// |
37 | 37 |
// \brief Extender for the digraph implementations |
38 | 38 |
template <typename Base> |
39 | 39 |
class DigraphExtender : public Base { |
40 | 40 |
typedef Base Parent; |
41 | 41 |
|
42 | 42 |
public: |
43 | 43 |
|
44 | 44 |
typedef DigraphExtender Digraph; |
45 | 45 |
|
46 | 46 |
// Base extensions |
47 | 47 |
|
48 | 48 |
typedef typename Parent::Node Node; |
49 | 49 |
typedef typename Parent::Arc Arc; |
50 | 50 |
|
51 | 51 |
int maxId(Node) const { |
52 | 52 |
return Parent::maxNodeId(); |
53 | 53 |
} |
54 | 54 |
|
55 | 55 |
int maxId(Arc) const { |
56 | 56 |
return Parent::maxArcId(); |
57 | 57 |
} |
58 | 58 |
|
59 |
Node fromId(int id, Node) |
|
59 |
static Node fromId(int id, Node) { |
|
60 | 60 |
return Parent::nodeFromId(id); |
61 | 61 |
} |
62 | 62 |
|
63 |
Arc fromId(int id, Arc) |
|
63 |
static Arc fromId(int id, Arc) { |
|
64 | 64 |
return Parent::arcFromId(id); |
65 | 65 |
} |
66 | 66 |
|
67 | 67 |
Node oppositeNode(const Node &node, const Arc &arc) const { |
68 | 68 |
if (node == Parent::source(arc)) |
69 | 69 |
return Parent::target(arc); |
70 | 70 |
else if(node == Parent::target(arc)) |
71 | 71 |
return Parent::source(arc); |
72 | 72 |
else |
73 | 73 |
return INVALID; |
74 | 74 |
} |
75 | 75 |
|
76 | 76 |
// Alterable extension |
77 | 77 |
|
78 | 78 |
typedef AlterationNotifier<DigraphExtender, Node> NodeNotifier; |
79 | 79 |
typedef AlterationNotifier<DigraphExtender, Arc> ArcNotifier; |
80 | 80 |
|
81 | 81 |
|
82 | 82 |
protected: |
83 | 83 |
|
84 | 84 |
mutable NodeNotifier node_notifier; |
85 | 85 |
mutable ArcNotifier arc_notifier; |
86 | 86 |
|
87 | 87 |
public: |
88 | 88 |
|
89 | 89 |
NodeNotifier& notifier(Node) const { |
90 | 90 |
return node_notifier; |
91 | 91 |
} |
92 | 92 |
|
93 | 93 |
ArcNotifier& notifier(Arc) const { |
94 | 94 |
return arc_notifier; |
95 | 95 |
} |
96 | 96 |
|
97 | 97 |
class NodeIt : public Node { |
98 | 98 |
const Digraph* _digraph; |
99 | 99 |
public: |
100 | 100 |
|
101 | 101 |
NodeIt() {} |
102 | 102 |
|
103 | 103 |
NodeIt(Invalid i) : Node(i) { } |
104 | 104 |
|
105 | 105 |
explicit NodeIt(const Digraph& digraph) : _digraph(&digraph) { |
106 | 106 |
_digraph->first(static_cast<Node&>(*this)); |
107 | 107 |
} |
108 | 108 |
|
109 | 109 |
NodeIt(const Digraph& digraph, const Node& node) |
110 | 110 |
: Node(node), _digraph(&digraph) {} |
111 | 111 |
|
112 | 112 |
NodeIt& operator++() { |
113 | 113 |
_digraph->next(*this); |
114 | 114 |
return *this; |
115 | 115 |
} |
116 | 116 |
|
117 | 117 |
}; |
118 | 118 |
|
119 | 119 |
|
120 | 120 |
class ArcIt : public Arc { |
121 | 121 |
const Digraph* _digraph; |
122 | 122 |
public: |
123 | 123 |
|
124 | 124 |
ArcIt() { } |
125 | 125 |
|
126 | 126 |
ArcIt(Invalid i) : Arc(i) { } |
127 | 127 |
|
128 | 128 |
explicit ArcIt(const Digraph& digraph) : _digraph(&digraph) { |
129 | 129 |
_digraph->first(static_cast<Arc&>(*this)); |
130 | 130 |
} |
131 | 131 |
|
132 | 132 |
ArcIt(const Digraph& digraph, const Arc& arc) : |
133 | 133 |
Arc(arc), _digraph(&digraph) { } |
134 | 134 |
|
135 | 135 |
ArcIt& operator++() { |
136 | 136 |
_digraph->next(*this); |
137 | 137 |
return *this; |
138 | 138 |
} |
139 | 139 |
|
140 | 140 |
}; |
141 | 141 |
|
142 | 142 |
|
143 | 143 |
class OutArcIt : public Arc { |
144 | 144 |
const Digraph* _digraph; |
145 | 145 |
public: |
146 | 146 |
|
147 | 147 |
OutArcIt() { } |
148 | 148 |
|
149 | 149 |
OutArcIt(Invalid i) : Arc(i) { } |
150 | 150 |
|
151 | 151 |
OutArcIt(const Digraph& digraph, const Node& node) |
152 | 152 |
: _digraph(&digraph) { |
153 | 153 |
_digraph->firstOut(*this, node); |
154 | 154 |
} |
155 | 155 |
|
156 | 156 |
OutArcIt(const Digraph& digraph, const Arc& arc) |
157 | 157 |
: Arc(arc), _digraph(&digraph) {} |
158 | 158 |
|
159 | 159 |
OutArcIt& operator++() { |
160 | 160 |
_digraph->nextOut(*this); |
161 | 161 |
return *this; |
162 | 162 |
} |
163 | 163 |
|
164 | 164 |
}; |
165 | 165 |
|
166 | 166 |
|
167 | 167 |
class InArcIt : public Arc { |
168 | 168 |
const Digraph* _digraph; |
169 | 169 |
public: |
170 | 170 |
|
171 | 171 |
InArcIt() { } |
172 | 172 |
|
173 | 173 |
InArcIt(Invalid i) : Arc(i) { } |
174 | 174 |
|
175 | 175 |
InArcIt(const Digraph& digraph, const Node& node) |
176 | 176 |
: _digraph(&digraph) { |
177 | 177 |
_digraph->firstIn(*this, node); |
178 | 178 |
} |
179 | 179 |
|
180 | 180 |
InArcIt(const Digraph& digraph, const Arc& arc) : |
181 | 181 |
Arc(arc), _digraph(&digraph) {} |
182 | 182 |
|
183 | 183 |
InArcIt& operator++() { |
184 | 184 |
_digraph->nextIn(*this); |
185 | 185 |
return *this; |
186 | 186 |
} |
187 | 187 |
|
188 | 188 |
}; |
189 | 189 |
|
190 | 190 |
// \brief Base node of the iterator |
191 | 191 |
// |
192 | 192 |
// Returns the base node (i.e. the source in this case) of the iterator |
193 | 193 |
Node baseNode(const OutArcIt &arc) const { |
194 | 194 |
return Parent::source(arc); |
195 | 195 |
} |
196 | 196 |
// \brief Running node of the iterator |
197 | 197 |
// |
198 | 198 |
// Returns the running node (i.e. the target in this case) of the |
199 | 199 |
// iterator |
200 | 200 |
Node runningNode(const OutArcIt &arc) const { |
201 | 201 |
return Parent::target(arc); |
202 | 202 |
} |
203 | 203 |
|
204 | 204 |
// \brief Base node of the iterator |
205 | 205 |
// |
206 | 206 |
// Returns the base node (i.e. the target in this case) of the iterator |
207 | 207 |
Node baseNode(const InArcIt &arc) const { |
208 | 208 |
return Parent::target(arc); |
209 | 209 |
} |
210 | 210 |
// \brief Running node of the iterator |
211 | 211 |
// |
212 | 212 |
// Returns the running node (i.e. the source in this case) of the |
213 | 213 |
// iterator |
214 | 214 |
Node runningNode(const InArcIt &arc) const { |
215 | 215 |
return Parent::source(arc); |
216 | 216 |
} |
217 | 217 |
|
218 | 218 |
|
219 | 219 |
template <typename _Value> |
220 | 220 |
class NodeMap |
221 | 221 |
: public MapExtender<DefaultMap<Digraph, Node, _Value> > { |
222 | 222 |
typedef MapExtender<DefaultMap<Digraph, Node, _Value> > Parent; |
223 | 223 |
|
224 | 224 |
public: |
225 | 225 |
explicit NodeMap(const Digraph& digraph) |
226 | 226 |
: Parent(digraph) {} |
227 | 227 |
NodeMap(const Digraph& digraph, const _Value& value) |
228 | 228 |
: Parent(digraph, value) {} |
229 | 229 |
|
230 | 230 |
private: |
231 | 231 |
NodeMap& operator=(const NodeMap& cmap) { |
232 | 232 |
return operator=<NodeMap>(cmap); |
233 | 233 |
} |
234 | 234 |
|
235 | 235 |
template <typename CMap> |
236 | 236 |
NodeMap& operator=(const CMap& cmap) { |
237 | 237 |
Parent::operator=(cmap); |
238 | 238 |
return *this; |
239 | 239 |
} |
240 | 240 |
|
241 | 241 |
}; |
242 | 242 |
|
243 | 243 |
template <typename _Value> |
244 | 244 |
class ArcMap |
245 | 245 |
: public MapExtender<DefaultMap<Digraph, Arc, _Value> > { |
246 | 246 |
typedef MapExtender<DefaultMap<Digraph, Arc, _Value> > Parent; |
247 | 247 |
|
248 | 248 |
public: |
249 | 249 |
explicit ArcMap(const Digraph& digraph) |
250 | 250 |
: Parent(digraph) {} |
251 | 251 |
ArcMap(const Digraph& digraph, const _Value& value) |
252 | 252 |
: Parent(digraph, value) {} |
253 | 253 |
|
254 | 254 |
private: |
255 | 255 |
ArcMap& operator=(const ArcMap& cmap) { |
256 | 256 |
return operator=<ArcMap>(cmap); |
257 | 257 |
} |
258 | 258 |
|
259 | 259 |
template <typename CMap> |
260 | 260 |
ArcMap& operator=(const CMap& cmap) { |
261 | 261 |
Parent::operator=(cmap); |
262 | 262 |
return *this; |
263 | 263 |
} |
264 | 264 |
}; |
265 | 265 |
|
266 | 266 |
|
267 | 267 |
Node addNode() { |
268 | 268 |
Node node = Parent::addNode(); |
269 | 269 |
notifier(Node()).add(node); |
270 | 270 |
return node; |
271 | 271 |
} |
272 | 272 |
|
273 | 273 |
Arc addArc(const Node& from, const Node& to) { |
274 | 274 |
Arc arc = Parent::addArc(from, to); |
275 | 275 |
notifier(Arc()).add(arc); |
276 | 276 |
return arc; |
277 | 277 |
} |
278 | 278 |
|
279 | 279 |
void clear() { |
280 | 280 |
notifier(Arc()).clear(); |
281 | 281 |
notifier(Node()).clear(); |
282 | 282 |
Parent::clear(); |
283 | 283 |
} |
284 | 284 |
|
285 | 285 |
template <typename Digraph, typename NodeRefMap, typename ArcRefMap> |
286 | 286 |
void build(const Digraph& digraph, NodeRefMap& nodeRef, ArcRefMap& arcRef) { |
287 | 287 |
Parent::build(digraph, nodeRef, arcRef); |
288 | 288 |
notifier(Node()).build(); |
289 | 289 |
notifier(Arc()).build(); |
290 | 290 |
} |
291 | 291 |
|
292 | 292 |
void erase(const Node& node) { |
293 | 293 |
Arc arc; |
294 | 294 |
Parent::firstOut(arc, node); |
295 | 295 |
while (arc != INVALID ) { |
296 | 296 |
erase(arc); |
297 | 297 |
Parent::firstOut(arc, node); |
298 | 298 |
} |
299 | 299 |
|
300 | 300 |
Parent::firstIn(arc, node); |
301 | 301 |
while (arc != INVALID ) { |
302 | 302 |
erase(arc); |
303 | 303 |
Parent::firstIn(arc, node); |
304 | 304 |
} |
305 | 305 |
|
306 | 306 |
notifier(Node()).erase(node); |
307 | 307 |
Parent::erase(node); |
308 | 308 |
} |
309 | 309 |
|
310 | 310 |
void erase(const Arc& arc) { |
311 | 311 |
notifier(Arc()).erase(arc); |
312 | 312 |
Parent::erase(arc); |
313 | 313 |
} |
314 | 314 |
|
315 | 315 |
DigraphExtender() { |
316 | 316 |
node_notifier.setContainer(*this); |
317 | 317 |
arc_notifier.setContainer(*this); |
318 | 318 |
} |
319 | 319 |
|
320 | 320 |
|
321 | 321 |
~DigraphExtender() { |
322 | 322 |
arc_notifier.clear(); |
323 | 323 |
node_notifier.clear(); |
324 | 324 |
} |
325 | 325 |
}; |
326 | 326 |
|
327 | 327 |
// \ingroup _graphbits |
328 | 328 |
// |
329 | 329 |
// \brief Extender for the Graphs |
330 | 330 |
template <typename Base> |
331 | 331 |
class GraphExtender : public Base { |
332 | 332 |
typedef Base Parent; |
333 | 333 |
|
334 | 334 |
public: |
335 | 335 |
|
336 | 336 |
typedef GraphExtender Graph; |
337 | 337 |
|
338 | 338 |
typedef True UndirectedTag; |
339 | 339 |
|
340 | 340 |
typedef typename Parent::Node Node; |
341 | 341 |
typedef typename Parent::Arc Arc; |
342 | 342 |
typedef typename Parent::Edge Edge; |
343 | 343 |
|
344 | 344 |
// Graph extension |
345 | 345 |
|
346 | 346 |
int maxId(Node) const { |
347 | 347 |
return Parent::maxNodeId(); |
348 | 348 |
} |
349 | 349 |
|
350 | 350 |
int maxId(Arc) const { |
351 | 351 |
return Parent::maxArcId(); |
352 | 352 |
} |
353 | 353 |
|
354 | 354 |
int maxId(Edge) const { |
355 | 355 |
return Parent::maxEdgeId(); |
356 | 356 |
} |
357 | 357 |
|
358 |
Node fromId(int id, Node) |
|
358 |
static Node fromId(int id, Node) { |
|
359 | 359 |
return Parent::nodeFromId(id); |
360 | 360 |
} |
361 | 361 |
|
362 |
Arc fromId(int id, Arc) |
|
362 |
static Arc fromId(int id, Arc) { |
|
363 | 363 |
return Parent::arcFromId(id); |
364 | 364 |
} |
365 | 365 |
|
366 |
Edge fromId(int id, Edge) |
|
366 |
static Edge fromId(int id, Edge) { |
|
367 | 367 |
return Parent::edgeFromId(id); |
368 | 368 |
} |
369 | 369 |
|
370 | 370 |
Node oppositeNode(const Node &n, const Edge &e) const { |
371 | 371 |
if( n == Parent::u(e)) |
372 | 372 |
return Parent::v(e); |
373 | 373 |
else if( n == Parent::v(e)) |
374 | 374 |
return Parent::u(e); |
375 | 375 |
else |
376 | 376 |
return INVALID; |
377 | 377 |
} |
378 | 378 |
|
379 | 379 |
Arc oppositeArc(const Arc &arc) const { |
380 | 380 |
return Parent::direct(arc, !Parent::direction(arc)); |
381 | 381 |
} |
382 | 382 |
|
383 | 383 |
using Parent::direct; |
384 | 384 |
Arc direct(const Edge &edge, const Node &node) const { |
385 | 385 |
return Parent::direct(edge, Parent::u(edge) == node); |
386 | 386 |
} |
387 | 387 |
|
388 | 388 |
// Alterable extension |
389 | 389 |
|
390 | 390 |
typedef AlterationNotifier<GraphExtender, Node> NodeNotifier; |
391 | 391 |
typedef AlterationNotifier<GraphExtender, Arc> ArcNotifier; |
392 | 392 |
typedef AlterationNotifier<GraphExtender, Edge> EdgeNotifier; |
393 | 393 |
|
394 | 394 |
|
395 | 395 |
protected: |
396 | 396 |
|
397 | 397 |
mutable NodeNotifier node_notifier; |
398 | 398 |
mutable ArcNotifier arc_notifier; |
399 | 399 |
mutable EdgeNotifier edge_notifier; |
400 | 400 |
|
401 | 401 |
public: |
402 | 402 |
|
403 | 403 |
NodeNotifier& notifier(Node) const { |
404 | 404 |
return node_notifier; |
405 | 405 |
} |
406 | 406 |
|
407 | 407 |
ArcNotifier& notifier(Arc) const { |
408 | 408 |
return arc_notifier; |
409 | 409 |
} |
410 | 410 |
|
411 | 411 |
EdgeNotifier& notifier(Edge) const { |
412 | 412 |
return edge_notifier; |
413 | 413 |
} |
414 | 414 |
|
415 | 415 |
|
416 | 416 |
|
417 | 417 |
class NodeIt : public Node { |
418 | 418 |
const Graph* _graph; |
419 | 419 |
public: |
420 | 420 |
|
421 | 421 |
NodeIt() {} |
422 | 422 |
|
423 | 423 |
NodeIt(Invalid i) : Node(i) { } |
424 | 424 |
|
425 | 425 |
explicit NodeIt(const Graph& graph) : _graph(&graph) { |
426 | 426 |
_graph->first(static_cast<Node&>(*this)); |
427 | 427 |
} |
428 | 428 |
|
429 | 429 |
NodeIt(const Graph& graph, const Node& node) |
430 | 430 |
: Node(node), _graph(&graph) {} |
431 | 431 |
|
432 | 432 |
NodeIt& operator++() { |
433 | 433 |
_graph->next(*this); |
434 | 434 |
return *this; |
435 | 435 |
} |
436 | 436 |
|
437 | 437 |
}; |
438 | 438 |
|
439 | 439 |
|
440 | 440 |
class ArcIt : public Arc { |
441 | 441 |
const Graph* _graph; |
442 | 442 |
public: |
443 | 443 |
|
444 | 444 |
ArcIt() { } |
445 | 445 |
|
446 | 446 |
ArcIt(Invalid i) : Arc(i) { } |
447 | 447 |
|
448 | 448 |
explicit ArcIt(const Graph& graph) : _graph(&graph) { |
449 | 449 |
_graph->first(static_cast<Arc&>(*this)); |
450 | 450 |
} |
451 | 451 |
|
452 | 452 |
ArcIt(const Graph& graph, const Arc& arc) : |
453 | 453 |
Arc(arc), _graph(&graph) { } |
454 | 454 |
|
455 | 455 |
ArcIt& operator++() { |
456 | 456 |
_graph->next(*this); |
457 | 457 |
return *this; |
458 | 458 |
} |
459 | 459 |
|
460 | 460 |
}; |
461 | 461 |
|
462 | 462 |
|
463 | 463 |
class OutArcIt : public Arc { |
464 | 464 |
const Graph* _graph; |
465 | 465 |
public: |
466 | 466 |
|
467 | 467 |
OutArcIt() { } |
468 | 468 |
|
469 | 469 |
OutArcIt(Invalid i) : Arc(i) { } |
470 | 470 |
|
471 | 471 |
OutArcIt(const Graph& graph, const Node& node) |
472 | 472 |
: _graph(&graph) { |
473 | 473 |
_graph->firstOut(*this, node); |
474 | 474 |
} |
475 | 475 |
|
476 | 476 |
OutArcIt(const Graph& graph, const Arc& arc) |
477 | 477 |
: Arc(arc), _graph(&graph) {} |
478 | 478 |
|
479 | 479 |
OutArcIt& operator++() { |
480 | 480 |
_graph->nextOut(*this); |
481 | 481 |
return *this; |
482 | 482 |
} |
483 | 483 |
|
484 | 484 |
}; |
485 | 485 |
|
486 | 486 |
|
487 | 487 |
class InArcIt : public Arc { |
488 | 488 |
const Graph* _graph; |
489 | 489 |
public: |
490 | 490 |
|
491 | 491 |
InArcIt() { } |
492 | 492 |
|
493 | 493 |
InArcIt(Invalid i) : Arc(i) { } |
494 | 494 |
|
495 | 495 |
InArcIt(const Graph& graph, const Node& node) |
496 | 496 |
: _graph(&graph) { |
497 | 497 |
_graph->firstIn(*this, node); |
498 | 498 |
} |
499 | 499 |
|
500 | 500 |
InArcIt(const Graph& graph, const Arc& arc) : |
501 | 501 |
Arc(arc), _graph(&graph) {} |
502 | 502 |
|
503 | 503 |
InArcIt& operator++() { |
504 | 504 |
_graph->nextIn(*this); |
505 | 505 |
return *this; |
506 | 506 |
} |
507 | 507 |
|
508 | 508 |
}; |
509 | 509 |
|
510 | 510 |
|
511 | 511 |
class EdgeIt : public Parent::Edge { |
512 | 512 |
const Graph* _graph; |
513 | 513 |
public: |
514 | 514 |
|
515 | 515 |
EdgeIt() { } |
516 | 516 |
|
517 | 517 |
EdgeIt(Invalid i) : Edge(i) { } |
518 | 518 |
|
519 | 519 |
explicit EdgeIt(const Graph& graph) : _graph(&graph) { |
520 | 520 |
_graph->first(static_cast<Edge&>(*this)); |
521 | 521 |
} |
522 | 522 |
|
523 | 523 |
EdgeIt(const Graph& graph, const Edge& edge) : |
524 | 524 |
Edge(edge), _graph(&graph) { } |
525 | 525 |
|
526 | 526 |
EdgeIt& operator++() { |
527 | 527 |
_graph->next(*this); |
528 | 528 |
return *this; |
529 | 529 |
} |
530 | 530 |
|
531 | 531 |
}; |
532 | 532 |
|
533 | 533 |
class IncEdgeIt : public Parent::Edge { |
534 | 534 |
friend class GraphExtender; |
535 | 535 |
const Graph* _graph; |
536 | 536 |
bool _direction; |
537 | 537 |
public: |
538 | 538 |
|
539 | 539 |
IncEdgeIt() { } |
540 | 540 |
|
541 | 541 |
IncEdgeIt(Invalid i) : Edge(i), _direction(false) { } |
542 | 542 |
|
543 | 543 |
IncEdgeIt(const Graph& graph, const Node &node) : _graph(&graph) { |
544 | 544 |
_graph->firstInc(*this, _direction, node); |
545 | 545 |
} |
546 | 546 |
|
547 | 547 |
IncEdgeIt(const Graph& graph, const Edge &edge, const Node &node) |
548 | 548 |
: _graph(&graph), Edge(edge) { |
549 | 549 |
_direction = (_graph->source(edge) == node); |
550 | 550 |
} |
551 | 551 |
|
552 | 552 |
IncEdgeIt& operator++() { |
553 | 553 |
_graph->nextInc(*this, _direction); |
554 | 554 |
return *this; |
555 | 555 |
} |
556 | 556 |
}; |
557 | 557 |
|
558 | 558 |
// \brief Base node of the iterator |
559 | 559 |
// |
560 | 560 |
// Returns the base node (ie. the source in this case) of the iterator |
561 | 561 |
Node baseNode(const OutArcIt &arc) const { |
562 | 562 |
return Parent::source(static_cast<const Arc&>(arc)); |
563 | 563 |
} |
564 | 564 |
// \brief Running node of the iterator |
565 | 565 |
// |
566 | 566 |
// Returns the running node (ie. the target in this case) of the |
567 | 567 |
// iterator |
568 | 568 |
Node runningNode(const OutArcIt &arc) const { |
569 | 569 |
return Parent::target(static_cast<const Arc&>(arc)); |
570 | 570 |
} |
571 | 571 |
|
572 | 572 |
// \brief Base node of the iterator |
573 | 573 |
// |
574 | 574 |
// Returns the base node (ie. the target in this case) of the iterator |
575 | 575 |
Node baseNode(const InArcIt &arc) const { |
576 | 576 |
return Parent::target(static_cast<const Arc&>(arc)); |
577 | 577 |
} |
578 | 578 |
// \brief Running node of the iterator |
579 | 579 |
// |
580 | 580 |
// Returns the running node (ie. the source in this case) of the |
581 | 581 |
// iterator |
582 | 582 |
Node runningNode(const InArcIt &arc) const { |
583 | 583 |
return Parent::source(static_cast<const Arc&>(arc)); |
584 | 584 |
} |
585 | 585 |
|
586 | 586 |
// Base node of the iterator |
587 | 587 |
// |
588 | 588 |
// Returns the base node of the iterator |
589 | 589 |
Node baseNode(const IncEdgeIt &edge) const { |
590 | 590 |
return edge._direction ? u(edge) : v(edge); |
591 | 591 |
} |
592 | 592 |
// Running node of the iterator |
593 | 593 |
// |
594 | 594 |
// Returns the running node of the iterator |
595 | 595 |
Node runningNode(const IncEdgeIt &edge) const { |
596 | 596 |
return edge._direction ? v(edge) : u(edge); |
597 | 597 |
} |
598 | 598 |
|
599 | 599 |
// Mappable extension |
600 | 600 |
|
601 | 601 |
template <typename _Value> |
602 | 602 |
class NodeMap |
603 | 603 |
: public MapExtender<DefaultMap<Graph, Node, _Value> > { |
604 | 604 |
typedef MapExtender<DefaultMap<Graph, Node, _Value> > Parent; |
605 | 605 |
|
606 | 606 |
public: |
607 | 607 |
explicit NodeMap(const Graph& graph) |
608 | 608 |
: Parent(graph) {} |
609 | 609 |
NodeMap(const Graph& graph, const _Value& value) |
610 | 610 |
: Parent(graph, value) {} |
611 | 611 |
|
612 | 612 |
private: |
613 | 613 |
NodeMap& operator=(const NodeMap& cmap) { |
614 | 614 |
return operator=<NodeMap>(cmap); |
615 | 615 |
} |
616 | 616 |
|
617 | 617 |
template <typename CMap> |
618 | 618 |
NodeMap& operator=(const CMap& cmap) { |
619 | 619 |
Parent::operator=(cmap); |
620 | 620 |
return *this; |
621 | 621 |
} |
622 | 622 |
|
623 | 623 |
}; |
624 | 624 |
|
625 | 625 |
template <typename _Value> |
626 | 626 |
class ArcMap |
627 | 627 |
: public MapExtender<DefaultMap<Graph, Arc, _Value> > { |
628 | 628 |
typedef MapExtender<DefaultMap<Graph, Arc, _Value> > Parent; |
629 | 629 |
|
630 | 630 |
public: |
631 | 631 |
explicit ArcMap(const Graph& graph) |
632 | 632 |
: Parent(graph) {} |
633 | 633 |
ArcMap(const Graph& graph, const _Value& value) |
634 | 634 |
: Parent(graph, value) {} |
635 | 635 |
|
636 | 636 |
private: |
637 | 637 |
ArcMap& operator=(const ArcMap& cmap) { |
638 | 638 |
return operator=<ArcMap>(cmap); |
639 | 639 |
} |
640 | 640 |
|
641 | 641 |
template <typename CMap> |
642 | 642 |
ArcMap& operator=(const CMap& cmap) { |
643 | 643 |
Parent::operator=(cmap); |
644 | 644 |
return *this; |
645 | 645 |
} |
646 | 646 |
}; |
647 | 647 |
|
648 | 648 |
|
649 | 649 |
template <typename _Value> |
650 | 650 |
class EdgeMap |
651 | 651 |
: public MapExtender<DefaultMap<Graph, Edge, _Value> > { |
652 | 652 |
typedef MapExtender<DefaultMap<Graph, Edge, _Value> > Parent; |
653 | 653 |
|
654 | 654 |
public: |
655 | 655 |
explicit EdgeMap(const Graph& graph) |
656 | 656 |
: Parent(graph) {} |
657 | 657 |
|
658 | 658 |
EdgeMap(const Graph& graph, const _Value& value) |
659 | 659 |
: Parent(graph, value) {} |
660 | 660 |
|
661 | 661 |
private: |
662 | 662 |
EdgeMap& operator=(const EdgeMap& cmap) { |
663 | 663 |
return operator=<EdgeMap>(cmap); |
664 | 664 |
} |
665 | 665 |
|
666 | 666 |
template <typename CMap> |
667 | 667 |
EdgeMap& operator=(const CMap& cmap) { |
668 | 668 |
Parent::operator=(cmap); |
669 | 669 |
return *this; |
670 | 670 |
} |
671 | 671 |
|
672 | 672 |
}; |
673 | 673 |
|
674 | 674 |
// Alteration extension |
675 | 675 |
|
676 | 676 |
Node addNode() { |
677 | 677 |
Node node = Parent::addNode(); |
678 | 678 |
notifier(Node()).add(node); |
679 | 679 |
return node; |
680 | 680 |
} |
681 | 681 |
|
682 | 682 |
Edge addEdge(const Node& from, const Node& to) { |
683 | 683 |
Edge edge = Parent::addEdge(from, to); |
684 | 684 |
notifier(Edge()).add(edge); |
685 | 685 |
std::vector<Arc> ev; |
686 | 686 |
ev.push_back(Parent::direct(edge, true)); |
687 | 687 |
ev.push_back(Parent::direct(edge, false)); |
688 | 688 |
notifier(Arc()).add(ev); |
689 | 689 |
return edge; |
690 | 690 |
} |
691 | 691 |
|
692 | 692 |
void clear() { |
693 | 693 |
notifier(Arc()).clear(); |
694 | 694 |
notifier(Edge()).clear(); |
695 | 695 |
notifier(Node()).clear(); |
696 | 696 |
Parent::clear(); |
697 | 697 |
} |
698 | 698 |
|
699 | 699 |
template <typename Graph, typename NodeRefMap, typename EdgeRefMap> |
700 | 700 |
void build(const Graph& graph, NodeRefMap& nodeRef, |
701 | 701 |
EdgeRefMap& edgeRef) { |
702 | 702 |
Parent::build(graph, nodeRef, edgeRef); |
703 | 703 |
notifier(Node()).build(); |
704 | 704 |
notifier(Edge()).build(); |
705 | 705 |
notifier(Arc()).build(); |
706 | 706 |
} |
707 | 707 |
|
708 | 708 |
void erase(const Node& node) { |
709 | 709 |
Arc arc; |
710 | 710 |
Parent::firstOut(arc, node); |
711 | 711 |
while (arc != INVALID ) { |
712 | 712 |
erase(arc); |
713 | 713 |
Parent::firstOut(arc, node); |
714 | 714 |
} |
715 | 715 |
|
716 | 716 |
Parent::firstIn(arc, node); |
717 | 717 |
while (arc != INVALID ) { |
718 | 718 |
erase(arc); |
719 | 719 |
Parent::firstIn(arc, node); |
720 | 720 |
} |
721 | 721 |
|
722 | 722 |
notifier(Node()).erase(node); |
723 | 723 |
Parent::erase(node); |
724 | 724 |
} |
725 | 725 |
|
726 | 726 |
void erase(const Edge& edge) { |
727 | 727 |
std::vector<Arc> av; |
728 | 728 |
av.push_back(Parent::direct(edge, true)); |
729 | 729 |
av.push_back(Parent::direct(edge, false)); |
730 | 730 |
notifier(Arc()).erase(av); |
731 | 731 |
notifier(Edge()).erase(edge); |
732 | 732 |
Parent::erase(edge); |
733 | 733 |
} |
734 | 734 |
|
735 | 735 |
GraphExtender() { |
736 | 736 |
node_notifier.setContainer(*this); |
737 | 737 |
arc_notifier.setContainer(*this); |
738 | 738 |
edge_notifier.setContainer(*this); |
739 | 739 |
} |
740 | 740 |
|
741 | 741 |
~GraphExtender() { |
742 | 742 |
edge_notifier.clear(); |
743 | 743 |
arc_notifier.clear(); |
744 | 744 |
node_notifier.clear(); |
745 | 745 |
} |
746 | 746 |
|
747 | 747 |
}; |
748 | 748 |
|
749 | 749 |
} |
750 | 750 |
... | ... |
@@ -486,931 +486,931 @@ |
486 | 486 |
arcs[n].next_out = first_free_arc; |
487 | 487 |
first_free_arc = n; |
488 | 488 |
|
489 | 489 |
} |
490 | 490 |
|
491 | 491 |
void clear() { |
492 | 492 |
Node node; |
493 | 493 |
for (first(node); node != INVALID; next(node)) { |
494 | 494 |
(*_nodes)[node].first_out = -1; |
495 | 495 |
} |
496 | 496 |
arcs.clear(); |
497 | 497 |
first_arc = -1; |
498 | 498 |
first_free_arc = -1; |
499 | 499 |
} |
500 | 500 |
|
501 | 501 |
void first(Node& node) const { |
502 | 502 |
_graph->first(node); |
503 | 503 |
} |
504 | 504 |
|
505 | 505 |
void next(Node& node) const { |
506 | 506 |
_graph->next(node); |
507 | 507 |
} |
508 | 508 |
|
509 | 509 |
void first(Arc& arc) const { |
510 | 510 |
Node node; |
511 | 511 |
first(node); |
512 | 512 |
while (node != INVALID && (*_nodes)[node].first_out == -1) { |
513 | 513 |
next(node); |
514 | 514 |
} |
515 | 515 |
arc.id = (node == INVALID) ? -1 : (*_nodes)[node].first_out; |
516 | 516 |
} |
517 | 517 |
|
518 | 518 |
void next(Arc& arc) const { |
519 | 519 |
if (arcs[arc.id].next_out != -1) { |
520 | 520 |
arc.id = arcs[arc.id].next_out; |
521 | 521 |
} else { |
522 | 522 |
Node node = arcs[arc.id ^ 1].target; |
523 | 523 |
next(node); |
524 | 524 |
while(node != INVALID && (*_nodes)[node].first_out == -1) { |
525 | 525 |
next(node); |
526 | 526 |
} |
527 | 527 |
arc.id = (node == INVALID) ? -1 : (*_nodes)[node].first_out; |
528 | 528 |
} |
529 | 529 |
} |
530 | 530 |
|
531 | 531 |
void first(Edge& edge) const { |
532 | 532 |
Node node; |
533 | 533 |
first(node); |
534 | 534 |
while (node != INVALID) { |
535 | 535 |
edge.id = (*_nodes)[node].first_out; |
536 | 536 |
while ((edge.id & 1) != 1) { |
537 | 537 |
edge.id = arcs[edge.id].next_out; |
538 | 538 |
} |
539 | 539 |
if (edge.id != -1) { |
540 | 540 |
edge.id /= 2; |
541 | 541 |
return; |
542 | 542 |
} |
543 | 543 |
next(node); |
544 | 544 |
} |
545 | 545 |
edge.id = -1; |
546 | 546 |
} |
547 | 547 |
|
548 | 548 |
void next(Edge& edge) const { |
549 | 549 |
Node node = arcs[edge.id * 2].target; |
550 | 550 |
edge.id = arcs[(edge.id * 2) | 1].next_out; |
551 | 551 |
while ((edge.id & 1) != 1) { |
552 | 552 |
edge.id = arcs[edge.id].next_out; |
553 | 553 |
} |
554 | 554 |
if (edge.id != -1) { |
555 | 555 |
edge.id /= 2; |
556 | 556 |
return; |
557 | 557 |
} |
558 | 558 |
next(node); |
559 | 559 |
while (node != INVALID) { |
560 | 560 |
edge.id = (*_nodes)[node].first_out; |
561 | 561 |
while ((edge.id & 1) != 1) { |
562 | 562 |
edge.id = arcs[edge.id].next_out; |
563 | 563 |
} |
564 | 564 |
if (edge.id != -1) { |
565 | 565 |
edge.id /= 2; |
566 | 566 |
return; |
567 | 567 |
} |
568 | 568 |
next(node); |
569 | 569 |
} |
570 | 570 |
edge.id = -1; |
571 | 571 |
} |
572 | 572 |
|
573 | 573 |
void firstOut(Arc& arc, const Node& node) const { |
574 | 574 |
arc.id = (*_nodes)[node].first_out; |
575 | 575 |
} |
576 | 576 |
|
577 | 577 |
void nextOut(Arc& arc) const { |
578 | 578 |
arc.id = arcs[arc.id].next_out; |
579 | 579 |
} |
580 | 580 |
|
581 | 581 |
void firstIn(Arc& arc, const Node& node) const { |
582 | 582 |
arc.id = (((*_nodes)[node].first_out) ^ 1); |
583 | 583 |
if (arc.id == -2) arc.id = -1; |
584 | 584 |
} |
585 | 585 |
|
586 | 586 |
void nextIn(Arc& arc) const { |
587 | 587 |
arc.id = ((arcs[arc.id ^ 1].next_out) ^ 1); |
588 | 588 |
if (arc.id == -2) arc.id = -1; |
589 | 589 |
} |
590 | 590 |
|
591 | 591 |
void firstInc(Edge &arc, bool& dir, const Node& node) const { |
592 | 592 |
int de = (*_nodes)[node].first_out; |
593 | 593 |
if (de != -1 ) { |
594 | 594 |
arc.id = de / 2; |
595 | 595 |
dir = ((de & 1) == 1); |
596 | 596 |
} else { |
597 | 597 |
arc.id = -1; |
598 | 598 |
dir = true; |
599 | 599 |
} |
600 | 600 |
} |
601 | 601 |
void nextInc(Edge &arc, bool& dir) const { |
602 | 602 |
int de = (arcs[(arc.id * 2) | (dir ? 1 : 0)].next_out); |
603 | 603 |
if (de != -1 ) { |
604 | 604 |
arc.id = de / 2; |
605 | 605 |
dir = ((de & 1) == 1); |
606 | 606 |
} else { |
607 | 607 |
arc.id = -1; |
608 | 608 |
dir = true; |
609 | 609 |
} |
610 | 610 |
} |
611 | 611 |
|
612 | 612 |
static bool direction(Arc arc) { |
613 | 613 |
return (arc.id & 1) == 1; |
614 | 614 |
} |
615 | 615 |
|
616 | 616 |
static Arc direct(Edge edge, bool dir) { |
617 | 617 |
return Arc(edge.id * 2 + (dir ? 1 : 0)); |
618 | 618 |
} |
619 | 619 |
|
620 | 620 |
int id(const Node& node) const { return _graph->id(node); } |
621 | 621 |
static int id(Arc e) { return e.id; } |
622 | 622 |
static int id(Edge e) { return e.id; } |
623 | 623 |
|
624 | 624 |
Node nodeFromId(int id) const { return _graph->nodeFromId(id); } |
625 | 625 |
static Arc arcFromId(int id) { return Arc(id);} |
626 | 626 |
static Edge edgeFromId(int id) { return Edge(id);} |
627 | 627 |
|
628 | 628 |
int maxNodeId() const { return _graph->maxNodeId(); }; |
629 | 629 |
int maxEdgeId() const { return arcs.size() / 2 - 1; } |
630 | 630 |
int maxArcId() const { return arcs.size()-1; } |
631 | 631 |
|
632 | 632 |
Node source(Arc e) const { return arcs[e.id ^ 1].target; } |
633 | 633 |
Node target(Arc e) const { return arcs[e.id].target; } |
634 | 634 |
|
635 | 635 |
Node u(Edge e) const { return arcs[2 * e.id].target; } |
636 | 636 |
Node v(Edge e) const { return arcs[2 * e.id + 1].target; } |
637 | 637 |
|
638 | 638 |
typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier; |
639 | 639 |
|
640 | 640 |
NodeNotifier& notifier(Node) const { |
641 | 641 |
return _graph->notifier(Node()); |
642 | 642 |
} |
643 | 643 |
|
644 | 644 |
template <typename V> |
645 | 645 |
class NodeMap : public GR::template NodeMap<V> { |
646 | 646 |
typedef typename GR::template NodeMap<V> Parent; |
647 | 647 |
|
648 | 648 |
public: |
649 | 649 |
|
650 | 650 |
explicit NodeMap(const ListEdgeSetBase<GR>& arcset) |
651 | 651 |
: Parent(*arcset._graph) {} |
652 | 652 |
|
653 | 653 |
NodeMap(const ListEdgeSetBase<GR>& arcset, const V& value) |
654 | 654 |
: Parent(*arcset._graph, value) {} |
655 | 655 |
|
656 | 656 |
NodeMap& operator=(const NodeMap& cmap) { |
657 | 657 |
return operator=<NodeMap>(cmap); |
658 | 658 |
} |
659 | 659 |
|
660 | 660 |
template <typename CMap> |
661 | 661 |
NodeMap& operator=(const CMap& cmap) { |
662 | 662 |
Parent::operator=(cmap); |
663 | 663 |
return *this; |
664 | 664 |
} |
665 | 665 |
}; |
666 | 666 |
|
667 | 667 |
}; |
668 | 668 |
|
669 | 669 |
/// \ingroup graphs |
670 | 670 |
/// |
671 | 671 |
/// \brief Graph using a node set of another digraph or graph and an |
672 | 672 |
/// own edge set. |
673 | 673 |
/// |
674 | 674 |
/// This structure can be used to establish another graph over a |
675 | 675 |
/// node set of an existing one. This class uses the same Node type |
676 | 676 |
/// as the underlying graph, and each valid node of the original |
677 | 677 |
/// graph is valid in this arc set, therefore the node objects of |
678 | 678 |
/// the original graph can be used directly with this class. The |
679 | 679 |
/// node handling functions (id handling, observing, and iterators) |
680 | 680 |
/// works equivalently as in the original graph. |
681 | 681 |
/// |
682 | 682 |
/// This implementation is based on doubly-linked lists, from each |
683 | 683 |
/// node the incident edges make up lists, therefore one edge can be |
684 | 684 |
/// erased in constant time. It also makes possible, that node can |
685 | 685 |
/// be removed from the underlying graph, in this case all edges |
686 | 686 |
/// incident to the given node is erased from the arc set. |
687 | 687 |
/// |
688 | 688 |
/// \param GR The type of the graph which shares its node set |
689 | 689 |
/// with this class. Its interface must conform to the |
690 | 690 |
/// \ref concepts::Digraph "Digraph" or \ref concepts::Graph "Graph" |
691 | 691 |
/// concept. |
692 | 692 |
/// |
693 | 693 |
/// This class fully conforms to the \ref concepts::Graph "Graph" |
694 | 694 |
/// concept. |
695 | 695 |
template <typename GR> |
696 | 696 |
class ListEdgeSet : public EdgeSetExtender<ListEdgeSetBase<GR> > { |
697 | 697 |
typedef EdgeSetExtender<ListEdgeSetBase<GR> > Parent; |
698 | 698 |
|
699 | 699 |
public: |
700 | 700 |
|
701 | 701 |
typedef typename Parent::Node Node; |
702 | 702 |
typedef typename Parent::Arc Arc; |
703 | 703 |
typedef typename Parent::Edge Edge; |
704 | 704 |
|
705 | 705 |
typedef typename Parent::NodesImplBase NodesImplBase; |
706 | 706 |
|
707 | 707 |
void eraseNode(const Node& node) { |
708 | 708 |
Arc arc; |
709 | 709 |
Parent::firstOut(arc, node); |
710 | 710 |
while (arc != INVALID ) { |
711 | 711 |
erase(arc); |
712 | 712 |
Parent::firstOut(arc, node); |
713 | 713 |
} |
714 | 714 |
|
715 | 715 |
} |
716 | 716 |
|
717 | 717 |
void clearNodes() { |
718 | 718 |
Parent::clear(); |
719 | 719 |
} |
720 | 720 |
|
721 | 721 |
class NodesImpl : public NodesImplBase { |
722 | 722 |
typedef NodesImplBase Parent; |
723 | 723 |
|
724 | 724 |
public: |
725 | 725 |
NodesImpl(const GR& graph, ListEdgeSet& arcset) |
726 | 726 |
: Parent(graph), _arcset(arcset) {} |
727 | 727 |
|
728 | 728 |
virtual ~NodesImpl() {} |
729 | 729 |
|
730 | 730 |
protected: |
731 | 731 |
|
732 | 732 |
virtual void erase(const Node& node) { |
733 | 733 |
_arcset.eraseNode(node); |
734 | 734 |
Parent::erase(node); |
735 | 735 |
} |
736 | 736 |
virtual void erase(const std::vector<Node>& nodes) { |
737 | 737 |
for (int i = 0; i < int(nodes.size()); ++i) { |
738 | 738 |
_arcset.eraseNode(nodes[i]); |
739 | 739 |
} |
740 | 740 |
Parent::erase(nodes); |
741 | 741 |
} |
742 | 742 |
virtual void clear() { |
743 | 743 |
_arcset.clearNodes(); |
744 | 744 |
Parent::clear(); |
745 | 745 |
} |
746 | 746 |
|
747 | 747 |
private: |
748 | 748 |
ListEdgeSet& _arcset; |
749 | 749 |
}; |
750 | 750 |
|
751 | 751 |
NodesImpl _nodes; |
752 | 752 |
|
753 | 753 |
public: |
754 | 754 |
|
755 | 755 |
/// \brief Constructor of the EdgeSet. |
756 | 756 |
/// |
757 | 757 |
/// Constructor of the EdgeSet. |
758 | 758 |
ListEdgeSet(const GR& graph) : _nodes(graph, *this) { |
759 | 759 |
Parent::initalize(graph, _nodes); |
760 | 760 |
} |
761 | 761 |
|
762 | 762 |
/// \brief Add a new edge to the graph. |
763 | 763 |
/// |
764 | 764 |
/// Add a new edge to the graph with node \c u |
765 | 765 |
/// and node \c v endpoints. |
766 | 766 |
/// \return The new edge. |
767 | 767 |
Edge addEdge(const Node& u, const Node& v) { |
768 | 768 |
return Parent::addEdge(u, v); |
769 | 769 |
} |
770 | 770 |
|
771 | 771 |
/// \brief Erase an edge from the graph. |
772 | 772 |
/// |
773 | 773 |
/// Erase the edge \c e from the graph. |
774 | 774 |
void erase(const Edge& e) { |
775 | 775 |
return Parent::erase(e); |
776 | 776 |
} |
777 | 777 |
|
778 | 778 |
}; |
779 | 779 |
|
780 | 780 |
template <typename GR> |
781 | 781 |
class SmartArcSetBase { |
782 | 782 |
public: |
783 | 783 |
|
784 | 784 |
typedef typename GR::Node Node; |
785 | 785 |
typedef typename GR::NodeIt NodeIt; |
786 | 786 |
|
787 | 787 |
protected: |
788 | 788 |
|
789 | 789 |
struct NodeT { |
790 | 790 |
int first_out, first_in; |
791 | 791 |
NodeT() : first_out(-1), first_in(-1) {} |
792 | 792 |
}; |
793 | 793 |
|
794 | 794 |
typedef typename ItemSetTraits<GR, Node>:: |
795 | 795 |
template Map<NodeT>::Type NodesImplBase; |
796 | 796 |
|
797 | 797 |
NodesImplBase* _nodes; |
798 | 798 |
|
799 | 799 |
struct ArcT { |
800 | 800 |
Node source, target; |
801 | 801 |
int next_out, next_in; |
802 | 802 |
ArcT() {} |
803 | 803 |
}; |
804 | 804 |
|
805 | 805 |
std::vector<ArcT> arcs; |
806 | 806 |
|
807 | 807 |
const GR* _graph; |
808 | 808 |
|
809 | 809 |
void initalize(const GR& graph, NodesImplBase& nodes) { |
810 | 810 |
_graph = &graph; |
811 | 811 |
_nodes = &nodes; |
812 | 812 |
} |
813 | 813 |
|
814 | 814 |
public: |
815 | 815 |
|
816 | 816 |
class Arc { |
817 | 817 |
friend class SmartArcSetBase<GR>; |
818 | 818 |
protected: |
819 | 819 |
Arc(int _id) : id(_id) {} |
820 | 820 |
int id; |
821 | 821 |
public: |
822 | 822 |
Arc() {} |
823 | 823 |
Arc(Invalid) : id(-1) {} |
824 | 824 |
bool operator==(const Arc& arc) const { return id == arc.id; } |
825 | 825 |
bool operator!=(const Arc& arc) const { return id != arc.id; } |
826 | 826 |
bool operator<(const Arc& arc) const { return id < arc.id; } |
827 | 827 |
}; |
828 | 828 |
|
829 | 829 |
SmartArcSetBase() {} |
830 | 830 |
|
831 | 831 |
Node addNode() { |
832 | 832 |
LEMON_ASSERT(false, |
833 | 833 |
"This graph structure does not support node insertion"); |
834 | 834 |
return INVALID; // avoid warning |
835 | 835 |
} |
836 | 836 |
|
837 | 837 |
Arc addArc(const Node& u, const Node& v) { |
838 | 838 |
int n = arcs.size(); |
839 | 839 |
arcs.push_back(ArcT()); |
840 | 840 |
arcs[n].next_in = (*_nodes)[v].first_in; |
841 | 841 |
(*_nodes)[v].first_in = n; |
842 | 842 |
arcs[n].next_out = (*_nodes)[u].first_out; |
843 | 843 |
(*_nodes)[u].first_out = n; |
844 | 844 |
arcs[n].source = u; |
845 | 845 |
arcs[n].target = v; |
846 | 846 |
return Arc(n); |
847 | 847 |
} |
848 | 848 |
|
849 | 849 |
void clear() { |
850 | 850 |
Node node; |
851 | 851 |
for (first(node); node != INVALID; next(node)) { |
852 | 852 |
(*_nodes)[node].first_in = -1; |
853 | 853 |
(*_nodes)[node].first_out = -1; |
854 | 854 |
} |
855 | 855 |
arcs.clear(); |
856 | 856 |
} |
857 | 857 |
|
858 | 858 |
void first(Node& node) const { |
859 | 859 |
_graph->first(node); |
860 | 860 |
} |
861 | 861 |
|
862 | 862 |
void next(Node& node) const { |
863 | 863 |
_graph->next(node); |
864 | 864 |
} |
865 | 865 |
|
866 | 866 |
void first(Arc& arc) const { |
867 | 867 |
arc.id = arcs.size() - 1; |
868 | 868 |
} |
869 | 869 |
|
870 |
void next(Arc& arc) |
|
870 |
static void next(Arc& arc) { |
|
871 | 871 |
--arc.id; |
872 | 872 |
} |
873 | 873 |
|
874 | 874 |
void firstOut(Arc& arc, const Node& node) const { |
875 | 875 |
arc.id = (*_nodes)[node].first_out; |
876 | 876 |
} |
877 | 877 |
|
878 | 878 |
void nextOut(Arc& arc) const { |
879 | 879 |
arc.id = arcs[arc.id].next_out; |
880 | 880 |
} |
881 | 881 |
|
882 | 882 |
void firstIn(Arc& arc, const Node& node) const { |
883 | 883 |
arc.id = (*_nodes)[node].first_in; |
884 | 884 |
} |
885 | 885 |
|
886 | 886 |
void nextIn(Arc& arc) const { |
887 | 887 |
arc.id = arcs[arc.id].next_in; |
888 | 888 |
} |
889 | 889 |
|
890 | 890 |
int id(const Node& node) const { return _graph->id(node); } |
891 | 891 |
int id(const Arc& arc) const { return arc.id; } |
892 | 892 |
|
893 | 893 |
Node nodeFromId(int ix) const { return _graph->nodeFromId(ix); } |
894 | 894 |
Arc arcFromId(int ix) const { return Arc(ix); } |
895 | 895 |
|
896 | 896 |
int maxNodeId() const { return _graph->maxNodeId(); }; |
897 | 897 |
int maxArcId() const { return arcs.size() - 1; } |
898 | 898 |
|
899 | 899 |
Node source(const Arc& arc) const { return arcs[arc.id].source;} |
900 | 900 |
Node target(const Arc& arc) const { return arcs[arc.id].target;} |
901 | 901 |
|
902 | 902 |
typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier; |
903 | 903 |
|
904 | 904 |
NodeNotifier& notifier(Node) const { |
905 | 905 |
return _graph->notifier(Node()); |
906 | 906 |
} |
907 | 907 |
|
908 | 908 |
template <typename V> |
909 | 909 |
class NodeMap : public GR::template NodeMap<V> { |
910 | 910 |
typedef typename GR::template NodeMap<V> Parent; |
911 | 911 |
|
912 | 912 |
public: |
913 | 913 |
|
914 | 914 |
explicit NodeMap(const SmartArcSetBase<GR>& arcset) |
915 | 915 |
: Parent(*arcset._graph) { } |
916 | 916 |
|
917 | 917 |
NodeMap(const SmartArcSetBase<GR>& arcset, const V& value) |
918 | 918 |
: Parent(*arcset._graph, value) { } |
919 | 919 |
|
920 | 920 |
NodeMap& operator=(const NodeMap& cmap) { |
921 | 921 |
return operator=<NodeMap>(cmap); |
922 | 922 |
} |
923 | 923 |
|
924 | 924 |
template <typename CMap> |
925 | 925 |
NodeMap& operator=(const CMap& cmap) { |
926 | 926 |
Parent::operator=(cmap); |
927 | 927 |
return *this; |
928 | 928 |
} |
929 | 929 |
}; |
930 | 930 |
|
931 | 931 |
}; |
932 | 932 |
|
933 | 933 |
|
934 | 934 |
/// \ingroup graphs |
935 | 935 |
/// |
936 | 936 |
/// \brief Digraph using a node set of another digraph or graph and |
937 | 937 |
/// an own arc set. |
938 | 938 |
/// |
939 | 939 |
/// This structure can be used to establish another directed graph |
940 | 940 |
/// over a node set of an existing one. This class uses the same |
941 | 941 |
/// Node type as the underlying graph, and each valid node of the |
942 | 942 |
/// original graph is valid in this arc set, therefore the node |
943 | 943 |
/// objects of the original graph can be used directly with this |
944 | 944 |
/// class. The node handling functions (id handling, observing, and |
945 | 945 |
/// iterators) works equivalently as in the original graph. |
946 | 946 |
/// |
947 | 947 |
/// \param GR The type of the graph which shares its node set with |
948 | 948 |
/// this class. Its interface must conform to the |
949 | 949 |
/// \ref concepts::Digraph "Digraph" or \ref concepts::Graph "Graph" |
950 | 950 |
/// concept. |
951 | 951 |
/// |
952 | 952 |
/// This implementation is slightly faster than the \c ListArcSet, |
953 | 953 |
/// because it uses continuous storage for arcs and it uses just |
954 | 954 |
/// single-linked lists for enumerate outgoing and incoming |
955 | 955 |
/// arcs. Therefore the arcs cannot be erased from the arc sets. |
956 | 956 |
/// |
957 | 957 |
/// \warning If a node is erased from the underlying graph and this |
958 | 958 |
/// node is the source or target of one arc in the arc set, then |
959 | 959 |
/// the arc set is invalidated, and it cannot be used anymore. The |
960 | 960 |
/// validity can be checked with the \c valid() member function. |
961 | 961 |
/// |
962 | 962 |
/// This class fully conforms to the \ref concepts::Digraph |
963 | 963 |
/// "Digraph" concept. |
964 | 964 |
template <typename GR> |
965 | 965 |
class SmartArcSet : public ArcSetExtender<SmartArcSetBase<GR> > { |
966 | 966 |
typedef ArcSetExtender<SmartArcSetBase<GR> > Parent; |
967 | 967 |
|
968 | 968 |
public: |
969 | 969 |
|
970 | 970 |
typedef typename Parent::Node Node; |
971 | 971 |
typedef typename Parent::Arc Arc; |
972 | 972 |
|
973 | 973 |
protected: |
974 | 974 |
|
975 | 975 |
typedef typename Parent::NodesImplBase NodesImplBase; |
976 | 976 |
|
977 | 977 |
void eraseNode(const Node& node) { |
978 | 978 |
if (typename Parent::InArcIt(*this, node) == INVALID && |
979 | 979 |
typename Parent::OutArcIt(*this, node) == INVALID) { |
980 | 980 |
return; |
981 | 981 |
} |
982 | 982 |
throw typename NodesImplBase::Notifier::ImmediateDetach(); |
983 | 983 |
} |
984 | 984 |
|
985 | 985 |
void clearNodes() { |
986 | 986 |
Parent::clear(); |
987 | 987 |
} |
988 | 988 |
|
989 | 989 |
class NodesImpl : public NodesImplBase { |
990 | 990 |
typedef NodesImplBase Parent; |
991 | 991 |
|
992 | 992 |
public: |
993 | 993 |
NodesImpl(const GR& graph, SmartArcSet& arcset) |
994 | 994 |
: Parent(graph), _arcset(arcset) {} |
995 | 995 |
|
996 | 996 |
virtual ~NodesImpl() {} |
997 | 997 |
|
998 | 998 |
bool attached() const { |
999 | 999 |
return Parent::attached(); |
1000 | 1000 |
} |
1001 | 1001 |
|
1002 | 1002 |
protected: |
1003 | 1003 |
|
1004 | 1004 |
virtual void erase(const Node& node) { |
1005 | 1005 |
try { |
1006 | 1006 |
_arcset.eraseNode(node); |
1007 | 1007 |
Parent::erase(node); |
1008 | 1008 |
} catch (const typename NodesImplBase::Notifier::ImmediateDetach&) { |
1009 | 1009 |
Parent::clear(); |
1010 | 1010 |
throw; |
1011 | 1011 |
} |
1012 | 1012 |
} |
1013 | 1013 |
virtual void erase(const std::vector<Node>& nodes) { |
1014 | 1014 |
try { |
1015 | 1015 |
for (int i = 0; i < int(nodes.size()); ++i) { |
1016 | 1016 |
_arcset.eraseNode(nodes[i]); |
1017 | 1017 |
} |
1018 | 1018 |
Parent::erase(nodes); |
1019 | 1019 |
} catch (const typename NodesImplBase::Notifier::ImmediateDetach&) { |
1020 | 1020 |
Parent::clear(); |
1021 | 1021 |
throw; |
1022 | 1022 |
} |
1023 | 1023 |
} |
1024 | 1024 |
virtual void clear() { |
1025 | 1025 |
_arcset.clearNodes(); |
1026 | 1026 |
Parent::clear(); |
1027 | 1027 |
} |
1028 | 1028 |
|
1029 | 1029 |
private: |
1030 | 1030 |
SmartArcSet& _arcset; |
1031 | 1031 |
}; |
1032 | 1032 |
|
1033 | 1033 |
NodesImpl _nodes; |
1034 | 1034 |
|
1035 | 1035 |
public: |
1036 | 1036 |
|
1037 | 1037 |
/// \brief Constructor of the ArcSet. |
1038 | 1038 |
/// |
1039 | 1039 |
/// Constructor of the ArcSet. |
1040 | 1040 |
SmartArcSet(const GR& graph) : _nodes(graph, *this) { |
1041 | 1041 |
Parent::initalize(graph, _nodes); |
1042 | 1042 |
} |
1043 | 1043 |
|
1044 | 1044 |
/// \brief Add a new arc to the digraph. |
1045 | 1045 |
/// |
1046 | 1046 |
/// Add a new arc to the digraph with source node \c s |
1047 | 1047 |
/// and target node \c t. |
1048 | 1048 |
/// \return The new arc. |
1049 | 1049 |
Arc addArc(const Node& s, const Node& t) { |
1050 | 1050 |
return Parent::addArc(s, t); |
1051 | 1051 |
} |
1052 | 1052 |
|
1053 | 1053 |
/// \brief Validity check |
1054 | 1054 |
/// |
1055 | 1055 |
/// This functions gives back false if the ArcSet is |
1056 | 1056 |
/// invalidated. It occurs when a node in the underlying graph is |
1057 | 1057 |
/// erased and it is not isolated in the ArcSet. |
1058 | 1058 |
bool valid() const { |
1059 | 1059 |
return _nodes.attached(); |
1060 | 1060 |
} |
1061 | 1061 |
|
1062 | 1062 |
}; |
1063 | 1063 |
|
1064 | 1064 |
|
1065 | 1065 |
template <typename GR> |
1066 | 1066 |
class SmartEdgeSetBase { |
1067 | 1067 |
public: |
1068 | 1068 |
|
1069 | 1069 |
typedef typename GR::Node Node; |
1070 | 1070 |
typedef typename GR::NodeIt NodeIt; |
1071 | 1071 |
|
1072 | 1072 |
protected: |
1073 | 1073 |
|
1074 | 1074 |
struct NodeT { |
1075 | 1075 |
int first_out; |
1076 | 1076 |
NodeT() : first_out(-1) {} |
1077 | 1077 |
}; |
1078 | 1078 |
|
1079 | 1079 |
typedef typename ItemSetTraits<GR, Node>:: |
1080 | 1080 |
template Map<NodeT>::Type NodesImplBase; |
1081 | 1081 |
|
1082 | 1082 |
NodesImplBase* _nodes; |
1083 | 1083 |
|
1084 | 1084 |
struct ArcT { |
1085 | 1085 |
Node target; |
1086 | 1086 |
int next_out; |
1087 | 1087 |
ArcT() {} |
1088 | 1088 |
}; |
1089 | 1089 |
|
1090 | 1090 |
std::vector<ArcT> arcs; |
1091 | 1091 |
|
1092 | 1092 |
const GR* _graph; |
1093 | 1093 |
|
1094 | 1094 |
void initalize(const GR& graph, NodesImplBase& nodes) { |
1095 | 1095 |
_graph = &graph; |
1096 | 1096 |
_nodes = &nodes; |
1097 | 1097 |
} |
1098 | 1098 |
|
1099 | 1099 |
public: |
1100 | 1100 |
|
1101 | 1101 |
class Edge { |
1102 | 1102 |
friend class SmartEdgeSetBase; |
1103 | 1103 |
protected: |
1104 | 1104 |
|
1105 | 1105 |
int id; |
1106 | 1106 |
explicit Edge(int _id) { id = _id;} |
1107 | 1107 |
|
1108 | 1108 |
public: |
1109 | 1109 |
Edge() {} |
1110 | 1110 |
Edge (Invalid) { id = -1; } |
1111 | 1111 |
bool operator==(const Edge& arc) const {return id == arc.id;} |
1112 | 1112 |
bool operator!=(const Edge& arc) const {return id != arc.id;} |
1113 | 1113 |
bool operator<(const Edge& arc) const {return id < arc.id;} |
1114 | 1114 |
}; |
1115 | 1115 |
|
1116 | 1116 |
class Arc { |
1117 | 1117 |
friend class SmartEdgeSetBase; |
1118 | 1118 |
protected: |
1119 | 1119 |
Arc(int _id) : id(_id) {} |
1120 | 1120 |
int id; |
1121 | 1121 |
public: |
1122 | 1122 |
operator Edge() const { return edgeFromId(id / 2); } |
1123 | 1123 |
|
1124 | 1124 |
Arc() {} |
1125 | 1125 |
Arc(Invalid) : id(-1) {} |
1126 | 1126 |
bool operator==(const Arc& arc) const { return id == arc.id; } |
1127 | 1127 |
bool operator!=(const Arc& arc) const { return id != arc.id; } |
1128 | 1128 |
bool operator<(const Arc& arc) const { return id < arc.id; } |
1129 | 1129 |
}; |
1130 | 1130 |
|
1131 | 1131 |
SmartEdgeSetBase() {} |
1132 | 1132 |
|
1133 | 1133 |
Node addNode() { |
1134 | 1134 |
LEMON_ASSERT(false, |
1135 | 1135 |
"This graph structure does not support node insertion"); |
1136 | 1136 |
return INVALID; // avoid warning |
1137 | 1137 |
} |
1138 | 1138 |
|
1139 | 1139 |
Edge addEdge(const Node& u, const Node& v) { |
1140 | 1140 |
int n = arcs.size(); |
1141 | 1141 |
arcs.push_back(ArcT()); |
1142 | 1142 |
arcs.push_back(ArcT()); |
1143 | 1143 |
|
1144 | 1144 |
arcs[n].target = u; |
1145 | 1145 |
arcs[n | 1].target = v; |
1146 | 1146 |
|
1147 | 1147 |
arcs[n].next_out = (*_nodes)[v].first_out; |
1148 | 1148 |
(*_nodes)[v].first_out = n; |
1149 | 1149 |
|
1150 | 1150 |
arcs[n | 1].next_out = (*_nodes)[u].first_out; |
1151 | 1151 |
(*_nodes)[u].first_out = (n | 1); |
1152 | 1152 |
|
1153 | 1153 |
return Edge(n / 2); |
1154 | 1154 |
} |
1155 | 1155 |
|
1156 | 1156 |
void clear() { |
1157 | 1157 |
Node node; |
1158 | 1158 |
for (first(node); node != INVALID; next(node)) { |
1159 | 1159 |
(*_nodes)[node].first_out = -1; |
1160 | 1160 |
} |
1161 | 1161 |
arcs.clear(); |
1162 | 1162 |
} |
1163 | 1163 |
|
1164 | 1164 |
void first(Node& node) const { |
1165 | 1165 |
_graph->first(node); |
1166 | 1166 |
} |
1167 | 1167 |
|
1168 | 1168 |
void next(Node& node) const { |
1169 | 1169 |
_graph->next(node); |
1170 | 1170 |
} |
1171 | 1171 |
|
1172 | 1172 |
void first(Arc& arc) const { |
1173 | 1173 |
arc.id = arcs.size() - 1; |
1174 | 1174 |
} |
1175 | 1175 |
|
1176 |
void next(Arc& arc) |
|
1176 |
static void next(Arc& arc) { |
|
1177 | 1177 |
--arc.id; |
1178 | 1178 |
} |
1179 | 1179 |
|
1180 | 1180 |
void first(Edge& arc) const { |
1181 | 1181 |
arc.id = arcs.size() / 2 - 1; |
1182 | 1182 |
} |
1183 | 1183 |
|
1184 |
void next(Edge& arc) |
|
1184 |
static void next(Edge& arc) { |
|
1185 | 1185 |
--arc.id; |
1186 | 1186 |
} |
1187 | 1187 |
|
1188 | 1188 |
void firstOut(Arc& arc, const Node& node) const { |
1189 | 1189 |
arc.id = (*_nodes)[node].first_out; |
1190 | 1190 |
} |
1191 | 1191 |
|
1192 | 1192 |
void nextOut(Arc& arc) const { |
1193 | 1193 |
arc.id = arcs[arc.id].next_out; |
1194 | 1194 |
} |
1195 | 1195 |
|
1196 | 1196 |
void firstIn(Arc& arc, const Node& node) const { |
1197 | 1197 |
arc.id = (((*_nodes)[node].first_out) ^ 1); |
1198 | 1198 |
if (arc.id == -2) arc.id = -1; |
1199 | 1199 |
} |
1200 | 1200 |
|
1201 | 1201 |
void nextIn(Arc& arc) const { |
1202 | 1202 |
arc.id = ((arcs[arc.id ^ 1].next_out) ^ 1); |
1203 | 1203 |
if (arc.id == -2) arc.id = -1; |
1204 | 1204 |
} |
1205 | 1205 |
|
1206 | 1206 |
void firstInc(Edge &arc, bool& dir, const Node& node) const { |
1207 | 1207 |
int de = (*_nodes)[node].first_out; |
1208 | 1208 |
if (de != -1 ) { |
1209 | 1209 |
arc.id = de / 2; |
1210 | 1210 |
dir = ((de & 1) == 1); |
1211 | 1211 |
} else { |
1212 | 1212 |
arc.id = -1; |
1213 | 1213 |
dir = true; |
1214 | 1214 |
} |
1215 | 1215 |
} |
1216 | 1216 |
void nextInc(Edge &arc, bool& dir) const { |
1217 | 1217 |
int de = (arcs[(arc.id * 2) | (dir ? 1 : 0)].next_out); |
1218 | 1218 |
if (de != -1 ) { |
1219 | 1219 |
arc.id = de / 2; |
1220 | 1220 |
dir = ((de & 1) == 1); |
1221 | 1221 |
} else { |
1222 | 1222 |
arc.id = -1; |
1223 | 1223 |
dir = true; |
1224 | 1224 |
} |
1225 | 1225 |
} |
1226 | 1226 |
|
1227 | 1227 |
static bool direction(Arc arc) { |
1228 | 1228 |
return (arc.id & 1) == 1; |
1229 | 1229 |
} |
1230 | 1230 |
|
1231 | 1231 |
static Arc direct(Edge edge, bool dir) { |
1232 | 1232 |
return Arc(edge.id * 2 + (dir ? 1 : 0)); |
1233 | 1233 |
} |
1234 | 1234 |
|
1235 | 1235 |
int id(Node node) const { return _graph->id(node); } |
1236 | 1236 |
static int id(Arc arc) { return arc.id; } |
1237 | 1237 |
static int id(Edge arc) { return arc.id; } |
1238 | 1238 |
|
1239 | 1239 |
Node nodeFromId(int id) const { return _graph->nodeFromId(id); } |
1240 | 1240 |
static Arc arcFromId(int id) { return Arc(id); } |
1241 | 1241 |
static Edge edgeFromId(int id) { return Edge(id);} |
1242 | 1242 |
|
1243 | 1243 |
int maxNodeId() const { return _graph->maxNodeId(); }; |
1244 | 1244 |
int maxArcId() const { return arcs.size() - 1; } |
1245 | 1245 |
int maxEdgeId() const { return arcs.size() / 2 - 1; } |
1246 | 1246 |
|
1247 | 1247 |
Node source(Arc e) const { return arcs[e.id ^ 1].target; } |
1248 | 1248 |
Node target(Arc e) const { return arcs[e.id].target; } |
1249 | 1249 |
|
1250 | 1250 |
Node u(Edge e) const { return arcs[2 * e.id].target; } |
1251 | 1251 |
Node v(Edge e) const { return arcs[2 * e.id + 1].target; } |
1252 | 1252 |
|
1253 | 1253 |
typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier; |
1254 | 1254 |
|
1255 | 1255 |
NodeNotifier& notifier(Node) const { |
1256 | 1256 |
return _graph->notifier(Node()); |
1257 | 1257 |
} |
1258 | 1258 |
|
1259 | 1259 |
template <typename V> |
1260 | 1260 |
class NodeMap : public GR::template NodeMap<V> { |
1261 | 1261 |
typedef typename GR::template NodeMap<V> Parent; |
1262 | 1262 |
|
1263 | 1263 |
public: |
1264 | 1264 |
|
1265 | 1265 |
explicit NodeMap(const SmartEdgeSetBase<GR>& arcset) |
1266 | 1266 |
: Parent(*arcset._graph) { } |
1267 | 1267 |
|
1268 | 1268 |
NodeMap(const SmartEdgeSetBase<GR>& arcset, const V& value) |
1269 | 1269 |
: Parent(*arcset._graph, value) { } |
1270 | 1270 |
|
1271 | 1271 |
NodeMap& operator=(const NodeMap& cmap) { |
1272 | 1272 |
return operator=<NodeMap>(cmap); |
1273 | 1273 |
} |
1274 | 1274 |
|
1275 | 1275 |
template <typename CMap> |
1276 | 1276 |
NodeMap& operator=(const CMap& cmap) { |
1277 | 1277 |
Parent::operator=(cmap); |
1278 | 1278 |
return *this; |
1279 | 1279 |
} |
1280 | 1280 |
}; |
1281 | 1281 |
|
1282 | 1282 |
}; |
1283 | 1283 |
|
1284 | 1284 |
/// \ingroup graphs |
1285 | 1285 |
/// |
1286 | 1286 |
/// \brief Graph using a node set of another digraph or graph and an |
1287 | 1287 |
/// own edge set. |
1288 | 1288 |
/// |
1289 | 1289 |
/// This structure can be used to establish another graph over a |
1290 | 1290 |
/// node set of an existing one. This class uses the same Node type |
1291 | 1291 |
/// as the underlying graph, and each valid node of the original |
1292 | 1292 |
/// graph is valid in this arc set, therefore the node objects of |
1293 | 1293 |
/// the original graph can be used directly with this class. The |
1294 | 1294 |
/// node handling functions (id handling, observing, and iterators) |
1295 | 1295 |
/// works equivalently as in the original graph. |
1296 | 1296 |
/// |
1297 | 1297 |
/// \param GR The type of the graph which shares its node set |
1298 | 1298 |
/// with this class. Its interface must conform to the |
1299 | 1299 |
/// \ref concepts::Digraph "Digraph" or \ref concepts::Graph "Graph" |
1300 | 1300 |
/// concept. |
1301 | 1301 |
/// |
1302 | 1302 |
/// This implementation is slightly faster than the \c ListEdgeSet, |
1303 | 1303 |
/// because it uses continuous storage for edges and it uses just |
1304 | 1304 |
/// single-linked lists for enumerate incident edges. Therefore the |
1305 | 1305 |
/// edges cannot be erased from the edge sets. |
1306 | 1306 |
/// |
1307 | 1307 |
/// \warning If a node is erased from the underlying graph and this |
1308 | 1308 |
/// node is incident to one edge in the edge set, then the edge set |
1309 | 1309 |
/// is invalidated, and it cannot be used anymore. The validity can |
1310 | 1310 |
/// be checked with the \c valid() member function. |
1311 | 1311 |
/// |
1312 | 1312 |
/// This class fully conforms to the \ref concepts::Graph |
1313 | 1313 |
/// "Graph" concept. |
1314 | 1314 |
template <typename GR> |
1315 | 1315 |
class SmartEdgeSet : public EdgeSetExtender<SmartEdgeSetBase<GR> > { |
1316 | 1316 |
typedef EdgeSetExtender<SmartEdgeSetBase<GR> > Parent; |
1317 | 1317 |
|
1318 | 1318 |
public: |
1319 | 1319 |
|
1320 | 1320 |
typedef typename Parent::Node Node; |
1321 | 1321 |
typedef typename Parent::Arc Arc; |
1322 | 1322 |
typedef typename Parent::Edge Edge; |
1323 | 1323 |
|
1324 | 1324 |
protected: |
1325 | 1325 |
|
1326 | 1326 |
typedef typename Parent::NodesImplBase NodesImplBase; |
1327 | 1327 |
|
1328 | 1328 |
void eraseNode(const Node& node) { |
1329 | 1329 |
if (typename Parent::IncEdgeIt(*this, node) == INVALID) { |
1330 | 1330 |
return; |
1331 | 1331 |
} |
1332 | 1332 |
throw typename NodesImplBase::Notifier::ImmediateDetach(); |
1333 | 1333 |
} |
1334 | 1334 |
|
1335 | 1335 |
void clearNodes() { |
1336 | 1336 |
Parent::clear(); |
1337 | 1337 |
} |
1338 | 1338 |
|
1339 | 1339 |
class NodesImpl : public NodesImplBase { |
1340 | 1340 |
typedef NodesImplBase Parent; |
1341 | 1341 |
|
1342 | 1342 |
public: |
1343 | 1343 |
NodesImpl(const GR& graph, SmartEdgeSet& arcset) |
1344 | 1344 |
: Parent(graph), _arcset(arcset) {} |
1345 | 1345 |
|
1346 | 1346 |
virtual ~NodesImpl() {} |
1347 | 1347 |
|
1348 | 1348 |
bool attached() const { |
1349 | 1349 |
return Parent::attached(); |
1350 | 1350 |
} |
1351 | 1351 |
|
1352 | 1352 |
protected: |
1353 | 1353 |
|
1354 | 1354 |
virtual void erase(const Node& node) { |
1355 | 1355 |
try { |
1356 | 1356 |
_arcset.eraseNode(node); |
1357 | 1357 |
Parent::erase(node); |
1358 | 1358 |
} catch (const typename NodesImplBase::Notifier::ImmediateDetach&) { |
1359 | 1359 |
Parent::clear(); |
1360 | 1360 |
throw; |
1361 | 1361 |
} |
1362 | 1362 |
} |
1363 | 1363 |
virtual void erase(const std::vector<Node>& nodes) { |
1364 | 1364 |
try { |
1365 | 1365 |
for (int i = 0; i < int(nodes.size()); ++i) { |
1366 | 1366 |
_arcset.eraseNode(nodes[i]); |
1367 | 1367 |
} |
1368 | 1368 |
Parent::erase(nodes); |
1369 | 1369 |
} catch (const typename NodesImplBase::Notifier::ImmediateDetach&) { |
1370 | 1370 |
Parent::clear(); |
1371 | 1371 |
throw; |
1372 | 1372 |
} |
1373 | 1373 |
} |
1374 | 1374 |
virtual void clear() { |
1375 | 1375 |
_arcset.clearNodes(); |
1376 | 1376 |
Parent::clear(); |
1377 | 1377 |
} |
1378 | 1378 |
|
1379 | 1379 |
private: |
1380 | 1380 |
SmartEdgeSet& _arcset; |
1381 | 1381 |
}; |
1382 | 1382 |
|
1383 | 1383 |
NodesImpl _nodes; |
1384 | 1384 |
|
1385 | 1385 |
public: |
1386 | 1386 |
|
1387 | 1387 |
/// \brief Constructor of the EdgeSet. |
1388 | 1388 |
/// |
1389 | 1389 |
/// Constructor of the EdgeSet. |
1390 | 1390 |
SmartEdgeSet(const GR& graph) : _nodes(graph, *this) { |
1391 | 1391 |
Parent::initalize(graph, _nodes); |
1392 | 1392 |
} |
1393 | 1393 |
|
1394 | 1394 |
/// \brief Add a new edge to the graph. |
1395 | 1395 |
/// |
1396 | 1396 |
/// Add a new edge to the graph with node \c u |
1397 | 1397 |
/// and node \c v endpoints. |
1398 | 1398 |
/// \return The new edge. |
1399 | 1399 |
Edge addEdge(const Node& u, const Node& v) { |
1400 | 1400 |
return Parent::addEdge(u, v); |
1401 | 1401 |
} |
1402 | 1402 |
|
1403 | 1403 |
/// \brief Validity check |
1404 | 1404 |
/// |
1405 | 1405 |
/// This functions gives back false if the EdgeSet is |
1406 | 1406 |
/// invalidated. It occurs when a node in the underlying graph is |
1407 | 1407 |
/// erased and it is not isolated in the EdgeSet. |
1408 | 1408 |
bool valid() const { |
1409 | 1409 |
return _nodes.attached(); |
1410 | 1410 |
} |
1411 | 1411 |
|
1412 | 1412 |
}; |
1413 | 1413 |
|
1414 | 1414 |
} |
1415 | 1415 |
|
1416 | 1416 |
#endif |
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_FULL_GRAPH_H |
20 | 20 |
#define LEMON_FULL_GRAPH_H |
21 | 21 |
|
22 | 22 |
#include <lemon/core.h> |
23 | 23 |
#include <lemon/bits/graph_extender.h> |
24 | 24 |
|
25 | 25 |
///\ingroup graphs |
26 | 26 |
///\file |
27 | 27 |
///\brief FullGraph and FullDigraph classes. |
28 | 28 |
|
29 | 29 |
namespace lemon { |
30 | 30 |
|
31 | 31 |
class FullDigraphBase { |
32 | 32 |
public: |
33 | 33 |
|
34 | 34 |
typedef FullDigraphBase Digraph; |
35 | 35 |
|
36 | 36 |
class Node; |
37 | 37 |
class Arc; |
38 | 38 |
|
39 | 39 |
protected: |
40 | 40 |
|
41 | 41 |
int _node_num; |
42 | 42 |
int _arc_num; |
43 | 43 |
|
44 | 44 |
FullDigraphBase() {} |
45 | 45 |
|
46 | 46 |
void construct(int n) { _node_num = n; _arc_num = n * n; } |
47 | 47 |
|
48 | 48 |
public: |
49 | 49 |
|
50 | 50 |
typedef True NodeNumTag; |
51 | 51 |
typedef True ArcNumTag; |
52 | 52 |
|
53 | 53 |
Node operator()(int ix) const { return Node(ix); } |
54 |
int index(const Node& node) |
|
54 |
static int index(const Node& node) { return node._id; } |
|
55 | 55 |
|
56 | 56 |
Arc arc(const Node& s, const Node& t) const { |
57 | 57 |
return Arc(s._id * _node_num + t._id); |
58 | 58 |
} |
59 | 59 |
|
60 | 60 |
int nodeNum() const { return _node_num; } |
61 | 61 |
int arcNum() const { return _arc_num; } |
62 | 62 |
|
63 | 63 |
int maxNodeId() const { return _node_num - 1; } |
64 | 64 |
int maxArcId() const { return _arc_num - 1; } |
65 | 65 |
|
66 | 66 |
Node source(Arc arc) const { return arc._id / _node_num; } |
67 | 67 |
Node target(Arc arc) const { return arc._id % _node_num; } |
68 | 68 |
|
69 | 69 |
static int id(Node node) { return node._id; } |
70 | 70 |
static int id(Arc arc) { return arc._id; } |
71 | 71 |
|
72 | 72 |
static Node nodeFromId(int id) { return Node(id);} |
73 | 73 |
static Arc arcFromId(int id) { return Arc(id);} |
74 | 74 |
|
75 | 75 |
typedef True FindArcTag; |
76 | 76 |
|
77 | 77 |
Arc findArc(Node s, Node t, Arc prev = INVALID) const { |
78 | 78 |
return prev == INVALID ? arc(s, t) : INVALID; |
79 | 79 |
} |
80 | 80 |
|
81 | 81 |
class Node { |
82 | 82 |
friend class FullDigraphBase; |
83 | 83 |
|
84 | 84 |
protected: |
85 | 85 |
int _id; |
86 | 86 |
Node(int id) : _id(id) {} |
87 | 87 |
public: |
88 | 88 |
Node() {} |
89 | 89 |
Node (Invalid) : _id(-1) {} |
90 | 90 |
bool operator==(const Node node) const {return _id == node._id;} |
91 | 91 |
bool operator!=(const Node node) const {return _id != node._id;} |
92 | 92 |
bool operator<(const Node node) const {return _id < node._id;} |
93 | 93 |
}; |
94 | 94 |
|
95 | 95 |
class Arc { |
96 | 96 |
friend class FullDigraphBase; |
97 | 97 |
|
98 | 98 |
protected: |
99 | 99 |
int _id; // _node_num * source + target; |
100 | 100 |
|
101 | 101 |
Arc(int id) : _id(id) {} |
102 | 102 |
|
103 | 103 |
public: |
104 | 104 |
Arc() { } |
105 | 105 |
Arc (Invalid) { _id = -1; } |
106 | 106 |
bool operator==(const Arc arc) const {return _id == arc._id;} |
107 | 107 |
bool operator!=(const Arc arc) const {return _id != arc._id;} |
108 | 108 |
bool operator<(const Arc arc) const {return _id < arc._id;} |
109 | 109 |
}; |
110 | 110 |
|
111 | 111 |
void first(Node& node) const { |
112 | 112 |
node._id = _node_num - 1; |
113 | 113 |
} |
114 | 114 |
|
115 | 115 |
static void next(Node& node) { |
116 | 116 |
--node._id; |
117 | 117 |
} |
118 | 118 |
|
119 | 119 |
void first(Arc& arc) const { |
120 | 120 |
arc._id = _arc_num - 1; |
121 | 121 |
} |
122 | 122 |
|
123 | 123 |
static void next(Arc& arc) { |
124 | 124 |
--arc._id; |
125 | 125 |
} |
126 | 126 |
|
127 | 127 |
void firstOut(Arc& arc, const Node& node) const { |
128 | 128 |
arc._id = (node._id + 1) * _node_num - 1; |
129 | 129 |
} |
130 | 130 |
|
131 | 131 |
void nextOut(Arc& arc) const { |
132 | 132 |
if (arc._id % _node_num == 0) arc._id = 0; |
133 | 133 |
--arc._id; |
134 | 134 |
} |
135 | 135 |
|
136 | 136 |
void firstIn(Arc& arc, const Node& node) const { |
137 | 137 |
arc._id = _arc_num + node._id - _node_num; |
138 | 138 |
} |
139 | 139 |
|
140 | 140 |
void nextIn(Arc& arc) const { |
141 | 141 |
arc._id -= _node_num; |
142 | 142 |
if (arc._id < 0) arc._id = -1; |
143 | 143 |
} |
144 | 144 |
|
145 | 145 |
}; |
146 | 146 |
|
147 | 147 |
typedef DigraphExtender<FullDigraphBase> ExtendedFullDigraphBase; |
148 | 148 |
|
149 | 149 |
/// \ingroup graphs |
150 | 150 |
/// |
151 | 151 |
/// \brief A full digraph class. |
152 | 152 |
/// |
153 | 153 |
/// This is a simple and fast directed full graph implementation. |
154 | 154 |
/// From each node go arcs to each node (including the source node), |
155 | 155 |
/// therefore the number of the arcs in the digraph is the square of |
156 | 156 |
/// the node number. This digraph type is completely static, so you |
157 | 157 |
/// can neither add nor delete either arcs or nodes, and it needs |
158 | 158 |
/// constant space in memory. |
159 | 159 |
/// |
160 | 160 |
/// This class fully conforms to the \ref concepts::Digraph |
161 | 161 |
/// "Digraph concept". |
162 | 162 |
/// |
163 | 163 |
/// The \c FullDigraph and \c FullGraph classes are very similar, |
164 | 164 |
/// but there are two differences. While this class conforms only |
165 | 165 |
/// to the \ref concepts::Digraph "Digraph" concept, the \c FullGraph |
166 | 166 |
/// class conforms to the \ref concepts::Graph "Graph" concept, |
167 | 167 |
/// moreover \c FullGraph does not contain a loop arc for each |
168 | 168 |
/// node as \c FullDigraph does. |
169 | 169 |
/// |
170 | 170 |
/// \sa FullGraph |
171 | 171 |
class FullDigraph : public ExtendedFullDigraphBase { |
172 | 172 |
typedef ExtendedFullDigraphBase Parent; |
173 | 173 |
|
174 | 174 |
public: |
175 | 175 |
|
176 | 176 |
/// \brief Constructor |
177 | 177 |
FullDigraph() { construct(0); } |
178 | 178 |
|
179 | 179 |
/// \brief Constructor |
180 | 180 |
/// |
181 | 181 |
/// Constructor. |
182 | 182 |
/// \param n The number of the nodes. |
183 | 183 |
FullDigraph(int n) { construct(n); } |
184 | 184 |
|
185 | 185 |
/// \brief Resizes the digraph |
186 | 186 |
/// |
187 | 187 |
/// Resizes the digraph. The function will fully destroy and |
188 | 188 |
/// rebuild the digraph. This cause that the maps of the digraph will |
189 | 189 |
/// reallocated automatically and the previous values will be lost. |
190 | 190 |
void resize(int n) { |
191 | 191 |
Parent::notifier(Arc()).clear(); |
192 | 192 |
Parent::notifier(Node()).clear(); |
193 | 193 |
construct(n); |
194 | 194 |
Parent::notifier(Node()).build(); |
195 | 195 |
Parent::notifier(Arc()).build(); |
196 | 196 |
} |
197 | 197 |
|
198 | 198 |
/// \brief Returns the node with the given index. |
199 | 199 |
/// |
200 | 200 |
/// Returns the node with the given index. Since it is a static |
201 | 201 |
/// digraph its nodes can be indexed with integers from the range |
202 | 202 |
/// <tt>[0..nodeNum()-1]</tt>. |
203 | 203 |
/// \sa index() |
204 | 204 |
Node operator()(int ix) const { return Parent::operator()(ix); } |
205 | 205 |
|
206 | 206 |
/// \brief Returns the index of the given node. |
207 | 207 |
/// |
208 | 208 |
/// Returns the index of the given node. Since it is a static |
209 | 209 |
/// digraph its nodes can be indexed with integers from the range |
210 | 210 |
/// <tt>[0..nodeNum()-1]</tt>. |
211 | 211 |
/// \sa operator() |
212 |
int index(const Node& node) |
|
212 |
static int index(const Node& node) { return Parent::index(node); } |
|
213 | 213 |
|
214 | 214 |
/// \brief Returns the arc connecting the given nodes. |
215 | 215 |
/// |
216 | 216 |
/// Returns the arc connecting the given nodes. |
217 | 217 |
Arc arc(const Node& u, const Node& v) const { |
218 | 218 |
return Parent::arc(u, v); |
219 | 219 |
} |
220 | 220 |
|
221 | 221 |
/// \brief Number of nodes. |
222 | 222 |
int nodeNum() const { return Parent::nodeNum(); } |
223 | 223 |
/// \brief Number of arcs. |
224 | 224 |
int arcNum() const { return Parent::arcNum(); } |
225 | 225 |
}; |
226 | 226 |
|
227 | 227 |
|
228 | 228 |
class FullGraphBase { |
229 | 229 |
public: |
230 | 230 |
|
231 | 231 |
typedef FullGraphBase Graph; |
232 | 232 |
|
233 | 233 |
class Node; |
234 | 234 |
class Arc; |
235 | 235 |
class Edge; |
236 | 236 |
|
237 | 237 |
protected: |
238 | 238 |
|
239 | 239 |
int _node_num; |
240 | 240 |
int _edge_num; |
241 | 241 |
|
242 | 242 |
FullGraphBase() {} |
243 | 243 |
|
244 | 244 |
void construct(int n) { _node_num = n; _edge_num = n * (n - 1) / 2; } |
245 | 245 |
|
246 | 246 |
int _uid(int e) const { |
247 | 247 |
int u = e / _node_num; |
248 | 248 |
int v = e % _node_num; |
249 | 249 |
return u < v ? u : _node_num - 2 - u; |
250 | 250 |
} |
251 | 251 |
|
252 | 252 |
int _vid(int e) const { |
253 | 253 |
int u = e / _node_num; |
254 | 254 |
int v = e % _node_num; |
255 | 255 |
return u < v ? v : _node_num - 1 - v; |
256 | 256 |
} |
257 | 257 |
|
258 | 258 |
void _uvid(int e, int& u, int& v) const { |
259 | 259 |
u = e / _node_num; |
260 | 260 |
v = e % _node_num; |
261 | 261 |
if (u >= v) { |
262 | 262 |
u = _node_num - 2 - u; |
263 | 263 |
v = _node_num - 1 - v; |
264 | 264 |
} |
265 | 265 |
} |
266 | 266 |
|
267 | 267 |
void _stid(int a, int& s, int& t) const { |
268 | 268 |
if ((a & 1) == 1) { |
269 | 269 |
_uvid(a >> 1, s, t); |
270 | 270 |
} else { |
271 | 271 |
_uvid(a >> 1, t, s); |
272 | 272 |
} |
273 | 273 |
} |
274 | 274 |
|
275 | 275 |
int _eid(int u, int v) const { |
276 | 276 |
if (u < (_node_num - 1) / 2) { |
277 | 277 |
return u * _node_num + v; |
278 | 278 |
} else { |
279 | 279 |
return (_node_num - 1 - u) * _node_num - v - 1; |
280 | 280 |
} |
281 | 281 |
} |
282 | 282 |
|
283 | 283 |
public: |
284 | 284 |
|
285 | 285 |
Node operator()(int ix) const { return Node(ix); } |
286 |
int index(const Node& node) |
|
286 |
static int index(const Node& node) { return node._id; } |
|
287 | 287 |
|
288 | 288 |
Edge edge(const Node& u, const Node& v) const { |
289 | 289 |
if (u._id < v._id) { |
290 | 290 |
return Edge(_eid(u._id, v._id)); |
291 | 291 |
} else if (u._id != v._id) { |
292 | 292 |
return Edge(_eid(v._id, u._id)); |
293 | 293 |
} else { |
294 | 294 |
return INVALID; |
295 | 295 |
} |
296 | 296 |
} |
297 | 297 |
|
298 | 298 |
Arc arc(const Node& s, const Node& t) const { |
299 | 299 |
if (s._id < t._id) { |
300 | 300 |
return Arc((_eid(s._id, t._id) << 1) | 1); |
301 | 301 |
} else if (s._id != t._id) { |
302 | 302 |
return Arc(_eid(t._id, s._id) << 1); |
303 | 303 |
} else { |
304 | 304 |
return INVALID; |
305 | 305 |
} |
306 | 306 |
} |
307 | 307 |
|
308 | 308 |
typedef True NodeNumTag; |
309 | 309 |
typedef True ArcNumTag; |
310 | 310 |
typedef True EdgeNumTag; |
311 | 311 |
|
312 | 312 |
int nodeNum() const { return _node_num; } |
313 | 313 |
int arcNum() const { return 2 * _edge_num; } |
314 | 314 |
int edgeNum() const { return _edge_num; } |
315 | 315 |
|
316 | 316 |
static int id(Node node) { return node._id; } |
317 | 317 |
static int id(Arc arc) { return arc._id; } |
318 | 318 |
static int id(Edge edge) { return edge._id; } |
319 | 319 |
|
320 | 320 |
int maxNodeId() const { return _node_num-1; } |
321 | 321 |
int maxArcId() const { return 2 * _edge_num-1; } |
322 | 322 |
int maxEdgeId() const { return _edge_num-1; } |
323 | 323 |
|
324 | 324 |
static Node nodeFromId(int id) { return Node(id);} |
325 | 325 |
static Arc arcFromId(int id) { return Arc(id);} |
326 | 326 |
static Edge edgeFromId(int id) { return Edge(id);} |
327 | 327 |
|
328 | 328 |
Node u(Edge edge) const { |
329 | 329 |
return Node(_uid(edge._id)); |
330 | 330 |
} |
331 | 331 |
|
332 | 332 |
Node v(Edge edge) const { |
333 | 333 |
return Node(_vid(edge._id)); |
334 | 334 |
} |
335 | 335 |
|
336 | 336 |
Node source(Arc arc) const { |
337 | 337 |
return Node((arc._id & 1) == 1 ? |
338 | 338 |
_uid(arc._id >> 1) : _vid(arc._id >> 1)); |
339 | 339 |
} |
340 | 340 |
|
341 | 341 |
Node target(Arc arc) const { |
342 | 342 |
return Node((arc._id & 1) == 1 ? |
343 | 343 |
_vid(arc._id >> 1) : _uid(arc._id >> 1)); |
344 | 344 |
} |
345 | 345 |
|
346 | 346 |
typedef True FindEdgeTag; |
347 | 347 |
typedef True FindArcTag; |
348 | 348 |
|
349 | 349 |
Edge findEdge(Node u, Node v, Edge prev = INVALID) const { |
350 | 350 |
return prev != INVALID ? INVALID : edge(u, v); |
351 | 351 |
} |
352 | 352 |
|
353 | 353 |
Arc findArc(Node s, Node t, Arc prev = INVALID) const { |
354 | 354 |
return prev != INVALID ? INVALID : arc(s, t); |
355 | 355 |
} |
356 | 356 |
|
357 | 357 |
class Node { |
358 | 358 |
friend class FullGraphBase; |
359 | 359 |
|
360 | 360 |
protected: |
361 | 361 |
int _id; |
362 | 362 |
Node(int id) : _id(id) {} |
363 | 363 |
public: |
364 | 364 |
Node() {} |
365 | 365 |
Node (Invalid) { _id = -1; } |
366 | 366 |
bool operator==(const Node node) const {return _id == node._id;} |
367 | 367 |
bool operator!=(const Node node) const {return _id != node._id;} |
368 | 368 |
bool operator<(const Node node) const {return _id < node._id;} |
369 | 369 |
}; |
370 | 370 |
|
371 | 371 |
class Edge { |
372 | 372 |
friend class FullGraphBase; |
373 | 373 |
friend class Arc; |
374 | 374 |
|
375 | 375 |
protected: |
376 | 376 |
int _id; |
377 | 377 |
|
378 | 378 |
Edge(int id) : _id(id) {} |
379 | 379 |
|
380 | 380 |
public: |
381 | 381 |
Edge() { } |
382 | 382 |
Edge (Invalid) { _id = -1; } |
383 | 383 |
|
384 | 384 |
bool operator==(const Edge edge) const {return _id == edge._id;} |
385 | 385 |
bool operator!=(const Edge edge) const {return _id != edge._id;} |
386 | 386 |
bool operator<(const Edge edge) const {return _id < edge._id;} |
387 | 387 |
}; |
388 | 388 |
|
389 | 389 |
class Arc { |
390 | 390 |
friend class FullGraphBase; |
391 | 391 |
|
392 | 392 |
protected: |
393 | 393 |
int _id; |
394 | 394 |
|
395 | 395 |
Arc(int id) : _id(id) {} |
396 | 396 |
|
397 | 397 |
public: |
398 | 398 |
Arc() { } |
399 | 399 |
Arc (Invalid) { _id = -1; } |
400 | 400 |
|
401 | 401 |
operator Edge() const { return Edge(_id != -1 ? (_id >> 1) : -1); } |
402 | 402 |
|
403 | 403 |
bool operator==(const Arc arc) const {return _id == arc._id;} |
404 | 404 |
bool operator!=(const Arc arc) const {return _id != arc._id;} |
405 | 405 |
bool operator<(const Arc arc) const {return _id < arc._id;} |
406 | 406 |
}; |
407 | 407 |
|
408 | 408 |
static bool direction(Arc arc) { |
409 | 409 |
return (arc._id & 1) == 1; |
410 | 410 |
} |
411 | 411 |
|
412 | 412 |
static Arc direct(Edge edge, bool dir) { |
413 | 413 |
return Arc((edge._id << 1) | (dir ? 1 : 0)); |
414 | 414 |
} |
415 | 415 |
|
416 | 416 |
void first(Node& node) const { |
417 | 417 |
node._id = _node_num - 1; |
418 | 418 |
} |
419 | 419 |
|
420 | 420 |
static void next(Node& node) { |
421 | 421 |
--node._id; |
422 | 422 |
} |
423 | 423 |
|
424 | 424 |
void first(Arc& arc) const { |
425 | 425 |
arc._id = (_edge_num << 1) - 1; |
426 | 426 |
} |
427 | 427 |
|
428 | 428 |
static void next(Arc& arc) { |
429 | 429 |
--arc._id; |
430 | 430 |
} |
431 | 431 |
|
432 | 432 |
void first(Edge& edge) const { |
433 | 433 |
edge._id = _edge_num - 1; |
434 | 434 |
} |
435 | 435 |
|
436 | 436 |
static void next(Edge& edge) { |
437 | 437 |
--edge._id; |
438 | 438 |
} |
439 | 439 |
|
440 | 440 |
void firstOut(Arc& arc, const Node& node) const { |
441 | 441 |
int s = node._id, t = _node_num - 1; |
442 | 442 |
if (s < t) { |
443 | 443 |
arc._id = (_eid(s, t) << 1) | 1; |
444 | 444 |
} else { |
445 | 445 |
--t; |
446 | 446 |
arc._id = (t != -1 ? (_eid(t, s) << 1) : -1); |
447 | 447 |
} |
448 | 448 |
} |
449 | 449 |
|
450 | 450 |
void nextOut(Arc& arc) const { |
451 | 451 |
int s, t; |
452 | 452 |
_stid(arc._id, s, t); |
453 | 453 |
--t; |
454 | 454 |
if (s < t) { |
455 | 455 |
arc._id = (_eid(s, t) << 1) | 1; |
456 | 456 |
} else { |
457 | 457 |
if (s == t) --t; |
458 | 458 |
arc._id = (t != -1 ? (_eid(t, s) << 1) : -1); |
459 | 459 |
} |
460 | 460 |
} |
461 | 461 |
|
462 | 462 |
void firstIn(Arc& arc, const Node& node) const { |
463 | 463 |
int s = _node_num - 1, t = node._id; |
464 | 464 |
if (s > t) { |
465 | 465 |
arc._id = (_eid(t, s) << 1); |
466 | 466 |
} else { |
467 | 467 |
--s; |
468 | 468 |
arc._id = (s != -1 ? (_eid(s, t) << 1) | 1 : -1); |
469 | 469 |
} |
470 | 470 |
} |
471 | 471 |
|
472 | 472 |
void nextIn(Arc& arc) const { |
473 | 473 |
int s, t; |
474 | 474 |
_stid(arc._id, s, t); |
475 | 475 |
--s; |
476 | 476 |
if (s > t) { |
477 | 477 |
arc._id = (_eid(t, s) << 1); |
478 | 478 |
} else { |
479 | 479 |
if (s == t) --s; |
480 | 480 |
arc._id = (s != -1 ? (_eid(s, t) << 1) | 1 : -1); |
481 | 481 |
} |
482 | 482 |
} |
483 | 483 |
|
484 | 484 |
void firstInc(Edge& edge, bool& dir, const Node& node) const { |
485 | 485 |
int u = node._id, v = _node_num - 1; |
486 | 486 |
if (u < v) { |
487 | 487 |
edge._id = _eid(u, v); |
488 | 488 |
dir = true; |
489 | 489 |
} else { |
490 | 490 |
--v; |
491 | 491 |
edge._id = (v != -1 ? _eid(v, u) : -1); |
492 | 492 |
dir = false; |
493 | 493 |
} |
494 | 494 |
} |
495 | 495 |
|
496 | 496 |
void nextInc(Edge& edge, bool& dir) const { |
497 | 497 |
int u, v; |
498 | 498 |
if (dir) { |
499 | 499 |
_uvid(edge._id, u, v); |
500 | 500 |
--v; |
501 | 501 |
if (u < v) { |
502 | 502 |
edge._id = _eid(u, v); |
503 | 503 |
} else { |
504 | 504 |
--v; |
505 | 505 |
edge._id = (v != -1 ? _eid(v, u) : -1); |
506 | 506 |
dir = false; |
507 | 507 |
} |
508 | 508 |
} else { |
509 | 509 |
_uvid(edge._id, v, u); |
510 | 510 |
--v; |
511 | 511 |
edge._id = (v != -1 ? _eid(v, u) : -1); |
512 | 512 |
} |
513 | 513 |
} |
514 | 514 |
|
515 | 515 |
}; |
516 | 516 |
|
517 | 517 |
typedef GraphExtender<FullGraphBase> ExtendedFullGraphBase; |
518 | 518 |
|
519 | 519 |
/// \ingroup graphs |
520 | 520 |
/// |
521 | 521 |
/// \brief An undirected full graph class. |
522 | 522 |
/// |
523 | 523 |
/// This is a simple and fast undirected full graph |
524 | 524 |
/// implementation. From each node go edge to each other node, |
525 | 525 |
/// therefore the number of edges in the graph is \f$n(n-1)/2\f$. |
526 | 526 |
/// This graph type is completely static, so you can neither |
527 | 527 |
/// add nor delete either edges or nodes, and it needs constant |
528 | 528 |
/// space in memory. |
529 | 529 |
/// |
530 | 530 |
/// This class fully conforms to the \ref concepts::Graph "Graph concept". |
531 | 531 |
/// |
532 | 532 |
/// The \c FullGraph and \c FullDigraph classes are very similar, |
533 | 533 |
/// but there are two differences. While the \c FullDigraph class |
534 | 534 |
/// conforms only to the \ref concepts::Digraph "Digraph" concept, |
535 | 535 |
/// this class conforms to the \ref concepts::Graph "Graph" concept, |
536 | 536 |
/// moreover \c FullGraph does not contain a loop arc for each |
537 | 537 |
/// node as \c FullDigraph does. |
538 | 538 |
/// |
539 | 539 |
/// \sa FullDigraph |
540 | 540 |
class FullGraph : public ExtendedFullGraphBase { |
541 | 541 |
typedef ExtendedFullGraphBase Parent; |
542 | 542 |
|
543 | 543 |
public: |
544 | 544 |
|
545 | 545 |
/// \brief Constructor |
546 | 546 |
FullGraph() { construct(0); } |
547 | 547 |
|
548 | 548 |
/// \brief Constructor |
549 | 549 |
/// |
550 | 550 |
/// Constructor. |
551 | 551 |
/// \param n The number of the nodes. |
552 | 552 |
FullGraph(int n) { construct(n); } |
553 | 553 |
|
554 | 554 |
/// \brief Resizes the graph |
555 | 555 |
/// |
556 | 556 |
/// Resizes the graph. The function will fully destroy and |
557 | 557 |
/// rebuild the graph. This cause that the maps of the graph will |
558 | 558 |
/// reallocated automatically and the previous values will be lost. |
559 | 559 |
void resize(int n) { |
560 | 560 |
Parent::notifier(Arc()).clear(); |
561 | 561 |
Parent::notifier(Edge()).clear(); |
562 | 562 |
Parent::notifier(Node()).clear(); |
563 | 563 |
construct(n); |
564 | 564 |
Parent::notifier(Node()).build(); |
565 | 565 |
Parent::notifier(Edge()).build(); |
566 | 566 |
Parent::notifier(Arc()).build(); |
567 | 567 |
} |
568 | 568 |
|
569 | 569 |
/// \brief Returns the node with the given index. |
570 | 570 |
/// |
571 | 571 |
/// Returns the node with the given index. Since it is a static |
572 | 572 |
/// graph its nodes can be indexed with integers from the range |
573 | 573 |
/// <tt>[0..nodeNum()-1]</tt>. |
574 | 574 |
/// \sa index() |
575 | 575 |
Node operator()(int ix) const { return Parent::operator()(ix); } |
576 | 576 |
|
577 | 577 |
/// \brief Returns the index of the given node. |
578 | 578 |
/// |
579 | 579 |
/// Returns the index of the given node. Since it is a static |
580 | 580 |
/// graph its nodes can be indexed with integers from the range |
581 | 581 |
/// <tt>[0..nodeNum()-1]</tt>. |
582 | 582 |
/// \sa operator() |
583 |
int index(const Node& node) |
|
583 |
static int index(const Node& node) { return Parent::index(node); } |
|
584 | 584 |
|
585 | 585 |
/// \brief Returns the arc connecting the given nodes. |
586 | 586 |
/// |
587 | 587 |
/// Returns the arc connecting the given nodes. |
588 | 588 |
Arc arc(const Node& s, const Node& t) const { |
589 | 589 |
return Parent::arc(s, t); |
590 | 590 |
} |
591 | 591 |
|
592 | 592 |
/// \brief Returns the edge connects the given nodes. |
593 | 593 |
/// |
594 | 594 |
/// Returns the edge connects the given nodes. |
595 | 595 |
Edge edge(const Node& u, const Node& v) const { |
596 | 596 |
return Parent::edge(u, v); |
597 | 597 |
} |
598 | 598 |
|
599 | 599 |
/// \brief Number of nodes. |
600 | 600 |
int nodeNum() const { return Parent::nodeNum(); } |
601 | 601 |
/// \brief Number of arcs. |
602 | 602 |
int arcNum() const { return Parent::arcNum(); } |
603 | 603 |
/// \brief Number of edges. |
604 | 604 |
int edgeNum() const { return Parent::edgeNum(); } |
605 | 605 |
|
606 | 606 |
}; |
607 | 607 |
|
608 | 608 |
|
609 | 609 |
} //namespace lemon |
610 | 610 |
|
611 | 611 |
|
612 | 612 |
#endif //LEMON_FULL_GRAPH_H |
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 HYPERCUBE_GRAPH_H |
20 | 20 |
#define HYPERCUBE_GRAPH_H |
21 | 21 |
|
22 | 22 |
#include <vector> |
23 | 23 |
#include <lemon/core.h> |
24 | 24 |
#include <lemon/assert.h> |
25 | 25 |
#include <lemon/bits/graph_extender.h> |
26 | 26 |
|
27 | 27 |
///\ingroup graphs |
28 | 28 |
///\file |
29 | 29 |
///\brief HypercubeGraph class. |
30 | 30 |
|
31 | 31 |
namespace lemon { |
32 | 32 |
|
33 | 33 |
class HypercubeGraphBase { |
34 | 34 |
|
35 | 35 |
public: |
36 | 36 |
|
37 | 37 |
typedef HypercubeGraphBase Graph; |
38 | 38 |
|
39 | 39 |
class Node; |
40 | 40 |
class Edge; |
41 | 41 |
class Arc; |
42 | 42 |
|
43 | 43 |
public: |
44 | 44 |
|
45 | 45 |
HypercubeGraphBase() {} |
46 | 46 |
|
47 | 47 |
protected: |
48 | 48 |
|
49 | 49 |
void construct(int dim) { |
50 | 50 |
LEMON_ASSERT(dim >= 1, "The number of dimensions must be at least 1."); |
51 | 51 |
_dim = dim; |
52 | 52 |
_node_num = 1 << dim; |
53 | 53 |
_edge_num = dim * (1 << (dim-1)); |
54 | 54 |
} |
55 | 55 |
|
56 | 56 |
public: |
57 | 57 |
|
58 | 58 |
typedef True NodeNumTag; |
59 | 59 |
typedef True EdgeNumTag; |
60 | 60 |
typedef True ArcNumTag; |
61 | 61 |
|
62 | 62 |
int nodeNum() const { return _node_num; } |
63 | 63 |
int edgeNum() const { return _edge_num; } |
64 | 64 |
int arcNum() const { return 2 * _edge_num; } |
65 | 65 |
|
66 | 66 |
int maxNodeId() const { return _node_num - 1; } |
67 | 67 |
int maxEdgeId() const { return _edge_num - 1; } |
68 | 68 |
int maxArcId() const { return 2 * _edge_num - 1; } |
69 | 69 |
|
70 | 70 |
static Node nodeFromId(int id) { return Node(id); } |
71 | 71 |
static Edge edgeFromId(int id) { return Edge(id); } |
72 | 72 |
static Arc arcFromId(int id) { return Arc(id); } |
73 | 73 |
|
74 | 74 |
static int id(Node node) { return node._id; } |
75 | 75 |
static int id(Edge edge) { return edge._id; } |
76 | 76 |
static int id(Arc arc) { return arc._id; } |
77 | 77 |
|
78 | 78 |
Node u(Edge edge) const { |
79 | 79 |
int base = edge._id & ((1 << (_dim-1)) - 1); |
80 | 80 |
int k = edge._id >> (_dim-1); |
81 | 81 |
return ((base >> k) << (k+1)) | (base & ((1 << k) - 1)); |
82 | 82 |
} |
83 | 83 |
|
84 | 84 |
Node v(Edge edge) const { |
85 | 85 |
int base = edge._id & ((1 << (_dim-1)) - 1); |
86 | 86 |
int k = edge._id >> (_dim-1); |
87 | 87 |
return ((base >> k) << (k+1)) | (base & ((1 << k) - 1)) | (1 << k); |
88 | 88 |
} |
89 | 89 |
|
90 | 90 |
Node source(Arc arc) const { |
91 | 91 |
return (arc._id & 1) == 1 ? u(arc) : v(arc); |
92 | 92 |
} |
93 | 93 |
|
94 | 94 |
Node target(Arc arc) const { |
95 | 95 |
return (arc._id & 1) == 1 ? v(arc) : u(arc); |
96 | 96 |
} |
97 | 97 |
|
98 | 98 |
typedef True FindEdgeTag; |
99 | 99 |
typedef True FindArcTag; |
100 | 100 |
|
101 | 101 |
Edge findEdge(Node u, Node v, Edge prev = INVALID) const { |
102 | 102 |
if (prev != INVALID) return INVALID; |
103 | 103 |
int d = u._id ^ v._id; |
104 | 104 |
int k = 0; |
105 | 105 |
if (d == 0) return INVALID; |
106 | 106 |
for ( ; (d & 1) == 0; d >>= 1) ++k; |
107 | 107 |
if (d >> 1 != 0) return INVALID; |
108 | 108 |
return (k << (_dim-1)) | ((u._id >> (k+1)) << k) | |
109 | 109 |
(u._id & ((1 << k) - 1)); |
110 | 110 |
} |
111 | 111 |
|
112 | 112 |
Arc findArc(Node u, Node v, Arc prev = INVALID) const { |
113 | 113 |
Edge edge = findEdge(u, v, prev); |
114 | 114 |
if (edge == INVALID) return INVALID; |
115 | 115 |
int k = edge._id >> (_dim-1); |
116 | 116 |
return ((u._id >> k) & 1) == 1 ? edge._id << 1 : (edge._id << 1) | 1; |
117 | 117 |
} |
118 | 118 |
|
119 | 119 |
class Node { |
120 | 120 |
friend class HypercubeGraphBase; |
121 | 121 |
|
122 | 122 |
protected: |
123 | 123 |
int _id; |
124 | 124 |
Node(int id) : _id(id) {} |
125 | 125 |
public: |
126 | 126 |
Node() {} |
127 | 127 |
Node (Invalid) : _id(-1) {} |
128 | 128 |
bool operator==(const Node node) const {return _id == node._id;} |
129 | 129 |
bool operator!=(const Node node) const {return _id != node._id;} |
130 | 130 |
bool operator<(const Node node) const {return _id < node._id;} |
131 | 131 |
}; |
132 | 132 |
|
133 | 133 |
class Edge { |
134 | 134 |
friend class HypercubeGraphBase; |
135 | 135 |
friend class Arc; |
136 | 136 |
|
137 | 137 |
protected: |
138 | 138 |
int _id; |
139 | 139 |
|
140 | 140 |
Edge(int id) : _id(id) {} |
141 | 141 |
|
142 | 142 |
public: |
143 | 143 |
Edge() {} |
144 | 144 |
Edge (Invalid) : _id(-1) {} |
145 | 145 |
bool operator==(const Edge edge) const {return _id == edge._id;} |
146 | 146 |
bool operator!=(const Edge edge) const {return _id != edge._id;} |
147 | 147 |
bool operator<(const Edge edge) const {return _id < edge._id;} |
148 | 148 |
}; |
149 | 149 |
|
150 | 150 |
class Arc { |
151 | 151 |
friend class HypercubeGraphBase; |
152 | 152 |
|
153 | 153 |
protected: |
154 | 154 |
int _id; |
155 | 155 |
|
156 | 156 |
Arc(int id) : _id(id) {} |
157 | 157 |
|
158 | 158 |
public: |
159 | 159 |
Arc() {} |
160 | 160 |
Arc (Invalid) : _id(-1) {} |
161 | 161 |
operator Edge() const { return _id != -1 ? Edge(_id >> 1) : INVALID; } |
162 | 162 |
bool operator==(const Arc arc) const {return _id == arc._id;} |
163 | 163 |
bool operator!=(const Arc arc) const {return _id != arc._id;} |
164 | 164 |
bool operator<(const Arc arc) const {return _id < arc._id;} |
165 | 165 |
}; |
166 | 166 |
|
167 | 167 |
void first(Node& node) const { |
168 | 168 |
node._id = _node_num - 1; |
169 | 169 |
} |
170 | 170 |
|
171 | 171 |
static void next(Node& node) { |
172 | 172 |
--node._id; |
173 | 173 |
} |
174 | 174 |
|
175 | 175 |
void first(Edge& edge) const { |
176 | 176 |
edge._id = _edge_num - 1; |
177 | 177 |
} |
178 | 178 |
|
179 | 179 |
static void next(Edge& edge) { |
180 | 180 |
--edge._id; |
181 | 181 |
} |
182 | 182 |
|
183 | 183 |
void first(Arc& arc) const { |
184 | 184 |
arc._id = 2 * _edge_num - 1; |
185 | 185 |
} |
186 | 186 |
|
187 | 187 |
static void next(Arc& arc) { |
188 | 188 |
--arc._id; |
189 | 189 |
} |
190 | 190 |
|
191 | 191 |
void firstInc(Edge& edge, bool& dir, const Node& node) const { |
192 | 192 |
edge._id = node._id >> 1; |
193 | 193 |
dir = (node._id & 1) == 0; |
194 | 194 |
} |
195 | 195 |
|
196 | 196 |
void nextInc(Edge& edge, bool& dir) const { |
197 | 197 |
Node n = dir ? u(edge) : v(edge); |
198 | 198 |
int k = (edge._id >> (_dim-1)) + 1; |
199 | 199 |
if (k < _dim) { |
200 | 200 |
edge._id = (k << (_dim-1)) | |
201 | 201 |
((n._id >> (k+1)) << k) | (n._id & ((1 << k) - 1)); |
202 | 202 |
dir = ((n._id >> k) & 1) == 0; |
203 | 203 |
} else { |
204 | 204 |
edge._id = -1; |
205 | 205 |
dir = true; |
206 | 206 |
} |
207 | 207 |
} |
208 | 208 |
|
209 | 209 |
void firstOut(Arc& arc, const Node& node) const { |
210 | 210 |
arc._id = ((node._id >> 1) << 1) | (~node._id & 1); |
211 | 211 |
} |
212 | 212 |
|
213 | 213 |
void nextOut(Arc& arc) const { |
214 | 214 |
Node n = (arc._id & 1) == 1 ? u(arc) : v(arc); |
215 | 215 |
int k = (arc._id >> _dim) + 1; |
216 | 216 |
if (k < _dim) { |
217 | 217 |
arc._id = (k << (_dim-1)) | |
218 | 218 |
((n._id >> (k+1)) << k) | (n._id & ((1 << k) - 1)); |
219 | 219 |
arc._id = (arc._id << 1) | (~(n._id >> k) & 1); |
220 | 220 |
} else { |
221 | 221 |
arc._id = -1; |
222 | 222 |
} |
223 | 223 |
} |
224 | 224 |
|
225 | 225 |
void firstIn(Arc& arc, const Node& node) const { |
226 | 226 |
arc._id = ((node._id >> 1) << 1) | (node._id & 1); |
227 | 227 |
} |
228 | 228 |
|
229 | 229 |
void nextIn(Arc& arc) const { |
230 | 230 |
Node n = (arc._id & 1) == 1 ? v(arc) : u(arc); |
231 | 231 |
int k = (arc._id >> _dim) + 1; |
232 | 232 |
if (k < _dim) { |
233 | 233 |
arc._id = (k << (_dim-1)) | |
234 | 234 |
((n._id >> (k+1)) << k) | (n._id & ((1 << k) - 1)); |
235 | 235 |
arc._id = (arc._id << 1) | ((n._id >> k) & 1); |
236 | 236 |
} else { |
237 | 237 |
arc._id = -1; |
238 | 238 |
} |
239 | 239 |
} |
240 | 240 |
|
241 | 241 |
static bool direction(Arc arc) { |
242 | 242 |
return (arc._id & 1) == 1; |
243 | 243 |
} |
244 | 244 |
|
245 | 245 |
static Arc direct(Edge edge, bool dir) { |
246 | 246 |
return Arc((edge._id << 1) | (dir ? 1 : 0)); |
247 | 247 |
} |
248 | 248 |
|
249 | 249 |
int dimension() const { |
250 | 250 |
return _dim; |
251 | 251 |
} |
252 | 252 |
|
253 | 253 |
bool projection(Node node, int n) const { |
254 | 254 |
return static_cast<bool>(node._id & (1 << n)); |
255 | 255 |
} |
256 | 256 |
|
257 | 257 |
int dimension(Edge edge) const { |
258 | 258 |
return edge._id >> (_dim-1); |
259 | 259 |
} |
260 | 260 |
|
261 | 261 |
int dimension(Arc arc) const { |
262 | 262 |
return arc._id >> _dim; |
263 | 263 |
} |
264 | 264 |
|
265 |
int index(Node node) |
|
265 |
static int index(Node node) { |
|
266 | 266 |
return node._id; |
267 | 267 |
} |
268 | 268 |
|
269 | 269 |
Node operator()(int ix) const { |
270 | 270 |
return Node(ix); |
271 | 271 |
} |
272 | 272 |
|
273 | 273 |
private: |
274 | 274 |
int _dim; |
275 | 275 |
int _node_num, _edge_num; |
276 | 276 |
}; |
277 | 277 |
|
278 | 278 |
|
279 | 279 |
typedef GraphExtender<HypercubeGraphBase> ExtendedHypercubeGraphBase; |
280 | 280 |
|
281 | 281 |
/// \ingroup graphs |
282 | 282 |
/// |
283 | 283 |
/// \brief Hypercube graph class |
284 | 284 |
/// |
285 | 285 |
/// This class implements a special graph type. The nodes of the graph |
286 | 286 |
/// are indiced with integers with at most \c dim binary digits. |
287 | 287 |
/// Two nodes are connected in the graph if and only if their indices |
288 | 288 |
/// differ only on one position in the binary form. |
289 | 289 |
/// |
290 | 290 |
/// \note The type of the indices is chosen to \c int for efficiency |
291 | 291 |
/// reasons. Thus the maximum dimension of this implementation is 26 |
292 | 292 |
/// (assuming that the size of \c int is 32 bit). |
293 | 293 |
/// |
294 | 294 |
/// This graph type fully conforms to the \ref concepts::Graph |
295 | 295 |
/// "Graph concept". |
296 | 296 |
class HypercubeGraph : public ExtendedHypercubeGraphBase { |
297 | 297 |
typedef ExtendedHypercubeGraphBase Parent; |
298 | 298 |
|
299 | 299 |
public: |
300 | 300 |
|
301 | 301 |
/// \brief Constructs a hypercube graph with \c dim dimensions. |
302 | 302 |
/// |
303 | 303 |
/// Constructs a hypercube graph with \c dim dimensions. |
304 | 304 |
HypercubeGraph(int dim) { construct(dim); } |
305 | 305 |
|
306 | 306 |
/// \brief The number of dimensions. |
307 | 307 |
/// |
308 | 308 |
/// Gives back the number of dimensions. |
309 | 309 |
int dimension() const { |
310 | 310 |
return Parent::dimension(); |
311 | 311 |
} |
312 | 312 |
|
313 | 313 |
/// \brief Returns \c true if the n'th bit of the node is one. |
314 | 314 |
/// |
315 | 315 |
/// Returns \c true if the n'th bit of the node is one. |
316 | 316 |
bool projection(Node node, int n) const { |
317 | 317 |
return Parent::projection(node, n); |
318 | 318 |
} |
319 | 319 |
|
320 | 320 |
/// \brief The dimension id of an edge. |
321 | 321 |
/// |
322 | 322 |
/// Gives back the dimension id of the given edge. |
323 | 323 |
/// It is in the [0..dim-1] range. |
324 | 324 |
int dimension(Edge edge) const { |
325 | 325 |
return Parent::dimension(edge); |
326 | 326 |
} |
327 | 327 |
|
328 | 328 |
/// \brief The dimension id of an arc. |
329 | 329 |
/// |
330 | 330 |
/// Gives back the dimension id of the given arc. |
331 | 331 |
/// It is in the [0..dim-1] range. |
332 | 332 |
int dimension(Arc arc) const { |
333 | 333 |
return Parent::dimension(arc); |
334 | 334 |
} |
335 | 335 |
|
336 | 336 |
/// \brief The index of a node. |
337 | 337 |
/// |
338 | 338 |
/// Gives back the index of the given node. |
339 | 339 |
/// The lower bits of the integer describes the node. |
340 |
int index(Node node) |
|
340 |
static int index(Node node) { |
|
341 | 341 |
return Parent::index(node); |
342 | 342 |
} |
343 | 343 |
|
344 | 344 |
/// \brief Gives back a node by its index. |
345 | 345 |
/// |
346 | 346 |
/// Gives back a node by its index. |
347 | 347 |
Node operator()(int ix) const { |
348 | 348 |
return Parent::operator()(ix); |
349 | 349 |
} |
350 | 350 |
|
351 | 351 |
/// \brief Number of nodes. |
352 | 352 |
int nodeNum() const { return Parent::nodeNum(); } |
353 | 353 |
/// \brief Number of edges. |
354 | 354 |
int edgeNum() const { return Parent::edgeNum(); } |
355 | 355 |
/// \brief Number of arcs. |
356 | 356 |
int arcNum() const { return Parent::arcNum(); } |
357 | 357 |
|
358 | 358 |
/// \brief Linear combination map. |
359 | 359 |
/// |
360 | 360 |
/// This map makes possible to give back a linear combination |
361 | 361 |
/// for each node. It works like the \c std::accumulate function, |
362 | 362 |
/// so it accumulates the \c bf binary function with the \c fv first |
363 | 363 |
/// value. The map accumulates only on that positions (dimensions) |
364 | 364 |
/// where the index of the node is one. The values that have to be |
365 | 365 |
/// accumulated should be given by the \c begin and \c end iterators |
366 | 366 |
/// and the length of this range should be equal to the dimension |
367 | 367 |
/// number of the graph. |
368 | 368 |
/// |
369 | 369 |
///\code |
370 | 370 |
/// const int DIM = 3; |
371 | 371 |
/// HypercubeGraph graph(DIM); |
372 | 372 |
/// dim2::Point<double> base[DIM]; |
373 | 373 |
/// for (int k = 0; k < DIM; ++k) { |
374 | 374 |
/// base[k].x = rnd(); |
375 | 375 |
/// base[k].y = rnd(); |
376 | 376 |
/// } |
377 | 377 |
/// HypercubeGraph::HyperMap<dim2::Point<double> > |
378 | 378 |
/// pos(graph, base, base + DIM, dim2::Point<double>(0.0, 0.0)); |
379 | 379 |
///\endcode |
380 | 380 |
/// |
381 | 381 |
/// \see HypercubeGraph |
382 | 382 |
template <typename T, typename BF = std::plus<T> > |
383 | 383 |
class HyperMap { |
384 | 384 |
public: |
385 | 385 |
|
386 | 386 |
/// \brief The key type of the map |
387 | 387 |
typedef Node Key; |
388 | 388 |
/// \brief The value type of the map |
389 | 389 |
typedef T Value; |
390 | 390 |
|
391 | 391 |
/// \brief Constructor for HyperMap. |
392 | 392 |
/// |
393 | 393 |
/// Construct a HyperMap for the given graph. The values that have |
394 | 394 |
/// to be accumulated should be given by the \c begin and \c end |
395 | 395 |
/// iterators and the length of this range should be equal to the |
396 | 396 |
/// dimension number of the graph. |
397 | 397 |
/// |
398 | 398 |
/// This map accumulates the \c bf binary function with the \c fv |
399 | 399 |
/// first value on that positions (dimensions) where the index of |
400 | 400 |
/// the node is one. |
401 | 401 |
template <typename It> |
402 | 402 |
HyperMap(const Graph& graph, It begin, It end, |
403 | 403 |
T fv = 0, const BF& bf = BF()) |
404 | 404 |
: _graph(graph), _values(begin, end), _first_value(fv), _bin_func(bf) |
405 | 405 |
{ |
406 | 406 |
LEMON_ASSERT(_values.size() == graph.dimension(), |
407 | 407 |
"Wrong size of range"); |
408 | 408 |
} |
409 | 409 |
|
410 | 410 |
/// \brief The partial accumulated value. |
411 | 411 |
/// |
412 | 412 |
/// Gives back the partial accumulated value. |
413 | 413 |
Value operator[](const Key& k) const { |
414 | 414 |
Value val = _first_value; |
415 | 415 |
int id = _graph.index(k); |
416 | 416 |
int n = 0; |
417 | 417 |
while (id != 0) { |
418 | 418 |
if (id & 1) { |
419 | 419 |
val = _bin_func(val, _values[n]); |
420 | 420 |
} |
421 | 421 |
id >>= 1; |
422 | 422 |
++n; |
423 | 423 |
} |
424 | 424 |
return val; |
425 | 425 |
} |
426 | 426 |
|
427 | 427 |
private: |
428 | 428 |
const Graph& _graph; |
429 | 429 |
std::vector<T> _values; |
430 | 430 |
T _first_value; |
431 | 431 |
BF _bin_func; |
432 | 432 |
}; |
433 | 433 |
|
434 | 434 |
}; |
435 | 435 |
|
436 | 436 |
} |
437 | 437 |
|
438 | 438 |
#endif |
... | ... |
@@ -127,685 +127,685 @@ |
127 | 127 |
Node() {} |
128 | 128 |
Node (Invalid) : _id(-1) {} |
129 | 129 |
bool operator==(const Node i) const {return _id == i._id;} |
130 | 130 |
bool operator!=(const Node i) const {return _id != i._id;} |
131 | 131 |
bool operator<(const Node i) const {return _id < i._id;} |
132 | 132 |
}; |
133 | 133 |
|
134 | 134 |
|
135 | 135 |
class Arc { |
136 | 136 |
friend class SmartDigraphBase; |
137 | 137 |
friend class SmartDigraph; |
138 | 138 |
|
139 | 139 |
protected: |
140 | 140 |
int _id; |
141 | 141 |
explicit Arc(int id) : _id(id) {} |
142 | 142 |
public: |
143 | 143 |
Arc() { } |
144 | 144 |
Arc (Invalid) : _id(-1) {} |
145 | 145 |
bool operator==(const Arc i) const {return _id == i._id;} |
146 | 146 |
bool operator!=(const Arc i) const {return _id != i._id;} |
147 | 147 |
bool operator<(const Arc i) const {return _id < i._id;} |
148 | 148 |
}; |
149 | 149 |
|
150 | 150 |
void first(Node& node) const { |
151 | 151 |
node._id = nodes.size() - 1; |
152 | 152 |
} |
153 | 153 |
|
154 | 154 |
static void next(Node& node) { |
155 | 155 |
--node._id; |
156 | 156 |
} |
157 | 157 |
|
158 | 158 |
void first(Arc& arc) const { |
159 | 159 |
arc._id = arcs.size() - 1; |
160 | 160 |
} |
161 | 161 |
|
162 | 162 |
static void next(Arc& arc) { |
163 | 163 |
--arc._id; |
164 | 164 |
} |
165 | 165 |
|
166 | 166 |
void firstOut(Arc& arc, const Node& node) const { |
167 | 167 |
arc._id = nodes[node._id].first_out; |
168 | 168 |
} |
169 | 169 |
|
170 | 170 |
void nextOut(Arc& arc) const { |
171 | 171 |
arc._id = arcs[arc._id].next_out; |
172 | 172 |
} |
173 | 173 |
|
174 | 174 |
void firstIn(Arc& arc, const Node& node) const { |
175 | 175 |
arc._id = nodes[node._id].first_in; |
176 | 176 |
} |
177 | 177 |
|
178 | 178 |
void nextIn(Arc& arc) const { |
179 | 179 |
arc._id = arcs[arc._id].next_in; |
180 | 180 |
} |
181 | 181 |
|
182 | 182 |
}; |
183 | 183 |
|
184 | 184 |
typedef DigraphExtender<SmartDigraphBase> ExtendedSmartDigraphBase; |
185 | 185 |
|
186 | 186 |
///\ingroup graphs |
187 | 187 |
/// |
188 | 188 |
///\brief A smart directed graph class. |
189 | 189 |
/// |
190 | 190 |
///This is a simple and fast digraph implementation. |
191 | 191 |
///It is also quite memory efficient, but at the price |
192 | 192 |
///that <b> it does support only limited (only stack-like) |
193 | 193 |
///node and arc deletions</b>. |
194 | 194 |
///It fully conforms to the \ref concepts::Digraph "Digraph concept". |
195 | 195 |
/// |
196 | 196 |
///\sa concepts::Digraph. |
197 | 197 |
class SmartDigraph : public ExtendedSmartDigraphBase { |
198 | 198 |
typedef ExtendedSmartDigraphBase Parent; |
199 | 199 |
|
200 | 200 |
private: |
201 | 201 |
|
202 | 202 |
///SmartDigraph is \e not copy constructible. Use DigraphCopy() instead. |
203 | 203 |
|
204 | 204 |
///SmartDigraph is \e not copy constructible. Use DigraphCopy() instead. |
205 | 205 |
/// |
206 | 206 |
SmartDigraph(const SmartDigraph &) : ExtendedSmartDigraphBase() {}; |
207 | 207 |
///\brief Assignment of SmartDigraph to another one is \e not allowed. |
208 | 208 |
///Use DigraphCopy() instead. |
209 | 209 |
|
210 | 210 |
///Assignment of SmartDigraph to another one is \e not allowed. |
211 | 211 |
///Use DigraphCopy() instead. |
212 | 212 |
void operator=(const SmartDigraph &) {} |
213 | 213 |
|
214 | 214 |
public: |
215 | 215 |
|
216 | 216 |
/// Constructor |
217 | 217 |
|
218 | 218 |
/// Constructor. |
219 | 219 |
/// |
220 | 220 |
SmartDigraph() {}; |
221 | 221 |
|
222 | 222 |
///Add a new node to the digraph. |
223 | 223 |
|
224 | 224 |
/// Add a new node to the digraph. |
225 | 225 |
/// \return The new node. |
226 | 226 |
Node addNode() { return Parent::addNode(); } |
227 | 227 |
|
228 | 228 |
///Add a new arc to the digraph. |
229 | 229 |
|
230 | 230 |
///Add a new arc to the digraph with source node \c s |
231 | 231 |
///and target node \c t. |
232 | 232 |
///\return The new arc. |
233 | 233 |
Arc addArc(const Node& s, const Node& t) { |
234 | 234 |
return Parent::addArc(s, t); |
235 | 235 |
} |
236 | 236 |
|
237 | 237 |
/// \brief Using this it is possible to avoid the superfluous memory |
238 | 238 |
/// allocation. |
239 | 239 |
|
240 | 240 |
/// Using this it is possible to avoid the superfluous memory |
241 | 241 |
/// allocation: if you know that the digraph you want to build will |
242 | 242 |
/// be very large (e.g. it will contain millions of nodes and/or arcs) |
243 | 243 |
/// then it is worth reserving space for this amount before starting |
244 | 244 |
/// to build the digraph. |
245 | 245 |
/// \sa reserveArc |
246 | 246 |
void reserveNode(int n) { nodes.reserve(n); }; |
247 | 247 |
|
248 | 248 |
/// \brief Using this it is possible to avoid the superfluous memory |
249 | 249 |
/// allocation. |
250 | 250 |
|
251 | 251 |
/// Using this it is possible to avoid the superfluous memory |
252 | 252 |
/// allocation: if you know that the digraph you want to build will |
253 | 253 |
/// be very large (e.g. it will contain millions of nodes and/or arcs) |
254 | 254 |
/// then it is worth reserving space for this amount before starting |
255 | 255 |
/// to build the digraph. |
256 | 256 |
/// \sa reserveNode |
257 | 257 |
void reserveArc(int m) { arcs.reserve(m); }; |
258 | 258 |
|
259 | 259 |
/// \brief Node validity check |
260 | 260 |
/// |
261 | 261 |
/// This function gives back true if the given node is valid, |
262 | 262 |
/// ie. it is a real node of the graph. |
263 | 263 |
/// |
264 | 264 |
/// \warning A removed node (using Snapshot) could become valid again |
265 | 265 |
/// when new nodes are added to the graph. |
266 | 266 |
bool valid(Node n) const { return Parent::valid(n); } |
267 | 267 |
|
268 | 268 |
/// \brief Arc validity check |
269 | 269 |
/// |
270 | 270 |
/// This function gives back true if the given arc is valid, |
271 | 271 |
/// ie. it is a real arc of the graph. |
272 | 272 |
/// |
273 | 273 |
/// \warning A removed arc (using Snapshot) could become valid again |
274 | 274 |
/// when new arcs are added to the graph. |
275 | 275 |
bool valid(Arc a) const { return Parent::valid(a); } |
276 | 276 |
|
277 | 277 |
///Clear the digraph. |
278 | 278 |
|
279 | 279 |
///Erase all the nodes and arcs from the digraph. |
280 | 280 |
/// |
281 | 281 |
void clear() { |
282 | 282 |
Parent::clear(); |
283 | 283 |
} |
284 | 284 |
|
285 | 285 |
///Split a node. |
286 | 286 |
|
287 | 287 |
///This function splits a node. First a new node is added to the digraph, |
288 | 288 |
///then the source of each outgoing arc of \c n is moved to this new node. |
289 | 289 |
///If \c connect is \c true (this is the default value), then a new arc |
290 | 290 |
///from \c n to the newly created node is also added. |
291 | 291 |
///\return The newly created node. |
292 | 292 |
/// |
293 | 293 |
///\note The <tt>Arc</tt>s |
294 | 294 |
///referencing a moved arc remain |
295 | 295 |
///valid. However <tt>InArc</tt>'s and <tt>OutArc</tt>'s |
296 | 296 |
///may be invalidated. |
297 | 297 |
///\warning This functionality cannot be used together with the Snapshot |
298 | 298 |
///feature. |
299 | 299 |
Node split(Node n, bool connect = true) |
300 | 300 |
{ |
301 | 301 |
Node b = addNode(); |
302 | 302 |
nodes[b._id].first_out=nodes[n._id].first_out; |
303 | 303 |
nodes[n._id].first_out=-1; |
304 | 304 |
for(int i=nodes[b._id].first_out; i!=-1; i=arcs[i].next_out) { |
305 | 305 |
arcs[i].source=b._id; |
306 | 306 |
} |
307 | 307 |
if(connect) addArc(n,b); |
308 | 308 |
return b; |
309 | 309 |
} |
310 | 310 |
|
311 | 311 |
public: |
312 | 312 |
|
313 | 313 |
class Snapshot; |
314 | 314 |
|
315 | 315 |
protected: |
316 | 316 |
|
317 | 317 |
void restoreSnapshot(const Snapshot &s) |
318 | 318 |
{ |
319 | 319 |
while(s.arc_num<arcs.size()) { |
320 | 320 |
Arc arc = arcFromId(arcs.size()-1); |
321 | 321 |
Parent::notifier(Arc()).erase(arc); |
322 | 322 |
nodes[arcs.back().source].first_out=arcs.back().next_out; |
323 | 323 |
nodes[arcs.back().target].first_in=arcs.back().next_in; |
324 | 324 |
arcs.pop_back(); |
325 | 325 |
} |
326 | 326 |
while(s.node_num<nodes.size()) { |
327 | 327 |
Node node = nodeFromId(nodes.size()-1); |
328 | 328 |
Parent::notifier(Node()).erase(node); |
329 | 329 |
nodes.pop_back(); |
330 | 330 |
} |
331 | 331 |
} |
332 | 332 |
|
333 | 333 |
public: |
334 | 334 |
|
335 | 335 |
///Class to make a snapshot of the digraph and to restrore to it later. |
336 | 336 |
|
337 | 337 |
///Class to make a snapshot of the digraph and to restrore to it later. |
338 | 338 |
/// |
339 | 339 |
///The newly added nodes and arcs can be removed using the |
340 | 340 |
///restore() function. |
341 | 341 |
///\note After you restore a state, you cannot restore |
342 | 342 |
///a later state, in other word you cannot add again the arcs deleted |
343 | 343 |
///by restore() using another one Snapshot instance. |
344 | 344 |
/// |
345 | 345 |
///\warning If you do not use correctly the snapshot that can cause |
346 | 346 |
///either broken program, invalid state of the digraph, valid but |
347 | 347 |
///not the restored digraph or no change. Because the runtime performance |
348 | 348 |
///the validity of the snapshot is not stored. |
349 | 349 |
class Snapshot |
350 | 350 |
{ |
351 | 351 |
SmartDigraph *_graph; |
352 | 352 |
protected: |
353 | 353 |
friend class SmartDigraph; |
354 | 354 |
unsigned int node_num; |
355 | 355 |
unsigned int arc_num; |
356 | 356 |
public: |
357 | 357 |
///Default constructor. |
358 | 358 |
|
359 | 359 |
///Default constructor. |
360 | 360 |
///To actually make a snapshot you must call save(). |
361 | 361 |
/// |
362 | 362 |
Snapshot() : _graph(0) {} |
363 | 363 |
///Constructor that immediately makes a snapshot |
364 | 364 |
|
365 | 365 |
///This constructor immediately makes a snapshot of the digraph. |
366 | 366 |
///\param graph The digraph we make a snapshot of. |
367 | 367 |
Snapshot(SmartDigraph &graph) : _graph(&graph) { |
368 | 368 |
node_num=_graph->nodes.size(); |
369 | 369 |
arc_num=_graph->arcs.size(); |
370 | 370 |
} |
371 | 371 |
|
372 | 372 |
///Make a snapshot. |
373 | 373 |
|
374 | 374 |
///Make a snapshot of the digraph. |
375 | 375 |
/// |
376 | 376 |
///This function can be called more than once. In case of a repeated |
377 | 377 |
///call, the previous snapshot gets lost. |
378 | 378 |
///\param graph The digraph we make the snapshot of. |
379 | 379 |
void save(SmartDigraph &graph) |
380 | 380 |
{ |
381 | 381 |
_graph=&graph; |
382 | 382 |
node_num=_graph->nodes.size(); |
383 | 383 |
arc_num=_graph->arcs.size(); |
384 | 384 |
} |
385 | 385 |
|
386 | 386 |
///Undo the changes until a snapshot. |
387 | 387 |
|
388 | 388 |
///Undo the changes until a snapshot created by save(). |
389 | 389 |
/// |
390 | 390 |
///\note After you restored a state, you cannot restore |
391 | 391 |
///a later state, in other word you cannot add again the arcs deleted |
392 | 392 |
///by restore(). |
393 | 393 |
void restore() |
394 | 394 |
{ |
395 | 395 |
_graph->restoreSnapshot(*this); |
396 | 396 |
} |
397 | 397 |
}; |
398 | 398 |
}; |
399 | 399 |
|
400 | 400 |
|
401 | 401 |
class SmartGraphBase { |
402 | 402 |
|
403 | 403 |
protected: |
404 | 404 |
|
405 | 405 |
struct NodeT { |
406 | 406 |
int first_out; |
407 | 407 |
}; |
408 | 408 |
|
409 | 409 |
struct ArcT { |
410 | 410 |
int target; |
411 | 411 |
int next_out; |
412 | 412 |
}; |
413 | 413 |
|
414 | 414 |
std::vector<NodeT> nodes; |
415 | 415 |
std::vector<ArcT> arcs; |
416 | 416 |
|
417 | 417 |
int first_free_arc; |
418 | 418 |
|
419 | 419 |
public: |
420 | 420 |
|
421 | 421 |
typedef SmartGraphBase Graph; |
422 | 422 |
|
423 | 423 |
class Node; |
424 | 424 |
class Arc; |
425 | 425 |
class Edge; |
426 | 426 |
|
427 | 427 |
class Node { |
428 | 428 |
friend class SmartGraphBase; |
429 | 429 |
protected: |
430 | 430 |
|
431 | 431 |
int _id; |
432 | 432 |
explicit Node(int id) { _id = id;} |
433 | 433 |
|
434 | 434 |
public: |
435 | 435 |
Node() {} |
436 | 436 |
Node (Invalid) { _id = -1; } |
437 | 437 |
bool operator==(const Node& node) const {return _id == node._id;} |
438 | 438 |
bool operator!=(const Node& node) const {return _id != node._id;} |
439 | 439 |
bool operator<(const Node& node) const {return _id < node._id;} |
440 | 440 |
}; |
441 | 441 |
|
442 | 442 |
class Edge { |
443 | 443 |
friend class SmartGraphBase; |
444 | 444 |
protected: |
445 | 445 |
|
446 | 446 |
int _id; |
447 | 447 |
explicit Edge(int id) { _id = id;} |
448 | 448 |
|
449 | 449 |
public: |
450 | 450 |
Edge() {} |
451 | 451 |
Edge (Invalid) { _id = -1; } |
452 | 452 |
bool operator==(const Edge& arc) const {return _id == arc._id;} |
453 | 453 |
bool operator!=(const Edge& arc) const {return _id != arc._id;} |
454 | 454 |
bool operator<(const Edge& arc) const {return _id < arc._id;} |
455 | 455 |
}; |
456 | 456 |
|
457 | 457 |
class Arc { |
458 | 458 |
friend class SmartGraphBase; |
459 | 459 |
protected: |
460 | 460 |
|
461 | 461 |
int _id; |
462 | 462 |
explicit Arc(int id) { _id = id;} |
463 | 463 |
|
464 | 464 |
public: |
465 | 465 |
operator Edge() const { |
466 | 466 |
return _id != -1 ? edgeFromId(_id / 2) : INVALID; |
467 | 467 |
} |
468 | 468 |
|
469 | 469 |
Arc() {} |
470 | 470 |
Arc (Invalid) { _id = -1; } |
471 | 471 |
bool operator==(const Arc& arc) const {return _id == arc._id;} |
472 | 472 |
bool operator!=(const Arc& arc) const {return _id != arc._id;} |
473 | 473 |
bool operator<(const Arc& arc) const {return _id < arc._id;} |
474 | 474 |
}; |
475 | 475 |
|
476 | 476 |
|
477 | 477 |
|
478 | 478 |
SmartGraphBase() |
479 | 479 |
: nodes(), arcs() {} |
480 | 480 |
|
481 | 481 |
typedef True NodeNumTag; |
482 | 482 |
typedef True EdgeNumTag; |
483 | 483 |
typedef True ArcNumTag; |
484 | 484 |
|
485 | 485 |
int nodeNum() const { return nodes.size(); } |
486 | 486 |
int edgeNum() const { return arcs.size() / 2; } |
487 | 487 |
int arcNum() const { return arcs.size(); } |
488 | 488 |
|
489 | 489 |
int maxNodeId() const { return nodes.size()-1; } |
490 | 490 |
int maxEdgeId() const { return arcs.size() / 2 - 1; } |
491 | 491 |
int maxArcId() const { return arcs.size()-1; } |
492 | 492 |
|
493 | 493 |
Node source(Arc e) const { return Node(arcs[e._id ^ 1].target); } |
494 | 494 |
Node target(Arc e) const { return Node(arcs[e._id].target); } |
495 | 495 |
|
496 | 496 |
Node u(Edge e) const { return Node(arcs[2 * e._id].target); } |
497 | 497 |
Node v(Edge e) const { return Node(arcs[2 * e._id + 1].target); } |
498 | 498 |
|
499 | 499 |
static bool direction(Arc e) { |
500 | 500 |
return (e._id & 1) == 1; |
501 | 501 |
} |
502 | 502 |
|
503 | 503 |
static Arc direct(Edge e, bool d) { |
504 | 504 |
return Arc(e._id * 2 + (d ? 1 : 0)); |
505 | 505 |
} |
506 | 506 |
|
507 | 507 |
void first(Node& node) const { |
508 | 508 |
node._id = nodes.size() - 1; |
509 | 509 |
} |
510 | 510 |
|
511 |
void next(Node& node) |
|
511 |
static void next(Node& node) { |
|
512 | 512 |
--node._id; |
513 | 513 |
} |
514 | 514 |
|
515 | 515 |
void first(Arc& arc) const { |
516 | 516 |
arc._id = arcs.size() - 1; |
517 | 517 |
} |
518 | 518 |
|
519 |
void next(Arc& arc) |
|
519 |
static void next(Arc& arc) { |
|
520 | 520 |
--arc._id; |
521 | 521 |
} |
522 | 522 |
|
523 | 523 |
void first(Edge& arc) const { |
524 | 524 |
arc._id = arcs.size() / 2 - 1; |
525 | 525 |
} |
526 | 526 |
|
527 |
void next(Edge& arc) |
|
527 |
static void next(Edge& arc) { |
|
528 | 528 |
--arc._id; |
529 | 529 |
} |
530 | 530 |
|
531 | 531 |
void firstOut(Arc &arc, const Node& v) const { |
532 | 532 |
arc._id = nodes[v._id].first_out; |
533 | 533 |
} |
534 | 534 |
void nextOut(Arc &arc) const { |
535 | 535 |
arc._id = arcs[arc._id].next_out; |
536 | 536 |
} |
537 | 537 |
|
538 | 538 |
void firstIn(Arc &arc, const Node& v) const { |
539 | 539 |
arc._id = ((nodes[v._id].first_out) ^ 1); |
540 | 540 |
if (arc._id == -2) arc._id = -1; |
541 | 541 |
} |
542 | 542 |
void nextIn(Arc &arc) const { |
543 | 543 |
arc._id = ((arcs[arc._id ^ 1].next_out) ^ 1); |
544 | 544 |
if (arc._id == -2) arc._id = -1; |
545 | 545 |
} |
546 | 546 |
|
547 | 547 |
void firstInc(Edge &arc, bool& d, const Node& v) const { |
548 | 548 |
int de = nodes[v._id].first_out; |
549 | 549 |
if (de != -1) { |
550 | 550 |
arc._id = de / 2; |
551 | 551 |
d = ((de & 1) == 1); |
552 | 552 |
} else { |
553 | 553 |
arc._id = -1; |
554 | 554 |
d = true; |
555 | 555 |
} |
556 | 556 |
} |
557 | 557 |
void nextInc(Edge &arc, bool& d) const { |
558 | 558 |
int de = (arcs[(arc._id * 2) | (d ? 1 : 0)].next_out); |
559 | 559 |
if (de != -1) { |
560 | 560 |
arc._id = de / 2; |
561 | 561 |
d = ((de & 1) == 1); |
562 | 562 |
} else { |
563 | 563 |
arc._id = -1; |
564 | 564 |
d = true; |
565 | 565 |
} |
566 | 566 |
} |
567 | 567 |
|
568 | 568 |
static int id(Node v) { return v._id; } |
569 | 569 |
static int id(Arc e) { return e._id; } |
570 | 570 |
static int id(Edge e) { return e._id; } |
571 | 571 |
|
572 | 572 |
static Node nodeFromId(int id) { return Node(id);} |
573 | 573 |
static Arc arcFromId(int id) { return Arc(id);} |
574 | 574 |
static Edge edgeFromId(int id) { return Edge(id);} |
575 | 575 |
|
576 | 576 |
bool valid(Node n) const { |
577 | 577 |
return n._id >= 0 && n._id < static_cast<int>(nodes.size()); |
578 | 578 |
} |
579 | 579 |
bool valid(Arc a) const { |
580 | 580 |
return a._id >= 0 && a._id < static_cast<int>(arcs.size()); |
581 | 581 |
} |
582 | 582 |
bool valid(Edge e) const { |
583 | 583 |
return e._id >= 0 && 2 * e._id < static_cast<int>(arcs.size()); |
584 | 584 |
} |
585 | 585 |
|
586 | 586 |
Node addNode() { |
587 | 587 |
int n = nodes.size(); |
588 | 588 |
nodes.push_back(NodeT()); |
589 | 589 |
nodes[n].first_out = -1; |
590 | 590 |
|
591 | 591 |
return Node(n); |
592 | 592 |
} |
593 | 593 |
|
594 | 594 |
Edge addEdge(Node u, Node v) { |
595 | 595 |
int n = arcs.size(); |
596 | 596 |
arcs.push_back(ArcT()); |
597 | 597 |
arcs.push_back(ArcT()); |
598 | 598 |
|
599 | 599 |
arcs[n].target = u._id; |
600 | 600 |
arcs[n | 1].target = v._id; |
601 | 601 |
|
602 | 602 |
arcs[n].next_out = nodes[v._id].first_out; |
603 | 603 |
nodes[v._id].first_out = n; |
604 | 604 |
|
605 | 605 |
arcs[n | 1].next_out = nodes[u._id].first_out; |
606 | 606 |
nodes[u._id].first_out = (n | 1); |
607 | 607 |
|
608 | 608 |
return Edge(n / 2); |
609 | 609 |
} |
610 | 610 |
|
611 | 611 |
void clear() { |
612 | 612 |
arcs.clear(); |
613 | 613 |
nodes.clear(); |
614 | 614 |
} |
615 | 615 |
|
616 | 616 |
}; |
617 | 617 |
|
618 | 618 |
typedef GraphExtender<SmartGraphBase> ExtendedSmartGraphBase; |
619 | 619 |
|
620 | 620 |
/// \ingroup graphs |
621 | 621 |
/// |
622 | 622 |
/// \brief A smart undirected graph class. |
623 | 623 |
/// |
624 | 624 |
/// This is a simple and fast graph implementation. |
625 | 625 |
/// It is also quite memory efficient, but at the price |
626 | 626 |
/// that <b> it does support only limited (only stack-like) |
627 | 627 |
/// node and arc deletions</b>. |
628 | 628 |
/// It fully conforms to the \ref concepts::Graph "Graph concept". |
629 | 629 |
/// |
630 | 630 |
/// \sa concepts::Graph. |
631 | 631 |
class SmartGraph : public ExtendedSmartGraphBase { |
632 | 632 |
typedef ExtendedSmartGraphBase Parent; |
633 | 633 |
|
634 | 634 |
private: |
635 | 635 |
|
636 | 636 |
///SmartGraph is \e not copy constructible. Use GraphCopy() instead. |
637 | 637 |
|
638 | 638 |
///SmartGraph is \e not copy constructible. Use GraphCopy() instead. |
639 | 639 |
/// |
640 | 640 |
SmartGraph(const SmartGraph &) : ExtendedSmartGraphBase() {}; |
641 | 641 |
|
642 | 642 |
///\brief Assignment of SmartGraph to another one is \e not allowed. |
643 | 643 |
///Use GraphCopy() instead. |
644 | 644 |
|
645 | 645 |
///Assignment of SmartGraph to another one is \e not allowed. |
646 | 646 |
///Use GraphCopy() instead. |
647 | 647 |
void operator=(const SmartGraph &) {} |
648 | 648 |
|
649 | 649 |
public: |
650 | 650 |
|
651 | 651 |
/// Constructor |
652 | 652 |
|
653 | 653 |
/// Constructor. |
654 | 654 |
/// |
655 | 655 |
SmartGraph() {} |
656 | 656 |
|
657 | 657 |
///Add a new node to the graph. |
658 | 658 |
|
659 | 659 |
/// Add a new node to the graph. |
660 | 660 |
/// \return The new node. |
661 | 661 |
Node addNode() { return Parent::addNode(); } |
662 | 662 |
|
663 | 663 |
///Add a new edge to the graph. |
664 | 664 |
|
665 | 665 |
///Add a new edge to the graph with node \c s |
666 | 666 |
///and \c t. |
667 | 667 |
///\return The new edge. |
668 | 668 |
Edge addEdge(const Node& s, const Node& t) { |
669 | 669 |
return Parent::addEdge(s, t); |
670 | 670 |
} |
671 | 671 |
|
672 | 672 |
/// \brief Node validity check |
673 | 673 |
/// |
674 | 674 |
/// This function gives back true if the given node is valid, |
675 | 675 |
/// ie. it is a real node of the graph. |
676 | 676 |
/// |
677 | 677 |
/// \warning A removed node (using Snapshot) could become valid again |
678 | 678 |
/// when new nodes are added to the graph. |
679 | 679 |
bool valid(Node n) const { return Parent::valid(n); } |
680 | 680 |
|
681 | 681 |
/// \brief Arc validity check |
682 | 682 |
/// |
683 | 683 |
/// This function gives back true if the given arc is valid, |
684 | 684 |
/// ie. it is a real arc of the graph. |
685 | 685 |
/// |
686 | 686 |
/// \warning A removed arc (using Snapshot) could become valid again |
687 | 687 |
/// when new edges are added to the graph. |
688 | 688 |
bool valid(Arc a) const { return Parent::valid(a); } |
689 | 689 |
|
690 | 690 |
/// \brief Edge validity check |
691 | 691 |
/// |
692 | 692 |
/// This function gives back true if the given edge is valid, |
693 | 693 |
/// ie. it is a real edge of the graph. |
694 | 694 |
/// |
695 | 695 |
/// \warning A removed edge (using Snapshot) could become valid again |
696 | 696 |
/// when new edges are added to the graph. |
697 | 697 |
bool valid(Edge e) const { return Parent::valid(e); } |
698 | 698 |
|
699 | 699 |
///Clear the graph. |
700 | 700 |
|
701 | 701 |
///Erase all the nodes and edges from the graph. |
702 | 702 |
/// |
703 | 703 |
void clear() { |
704 | 704 |
Parent::clear(); |
705 | 705 |
} |
706 | 706 |
|
707 | 707 |
public: |
708 | 708 |
|
709 | 709 |
class Snapshot; |
710 | 710 |
|
711 | 711 |
protected: |
712 | 712 |
|
713 | 713 |
void saveSnapshot(Snapshot &s) |
714 | 714 |
{ |
715 | 715 |
s._graph = this; |
716 | 716 |
s.node_num = nodes.size(); |
717 | 717 |
s.arc_num = arcs.size(); |
718 | 718 |
} |
719 | 719 |
|
720 | 720 |
void restoreSnapshot(const Snapshot &s) |
721 | 721 |
{ |
722 | 722 |
while(s.arc_num<arcs.size()) { |
723 | 723 |
int n=arcs.size()-1; |
724 | 724 |
Edge arc=edgeFromId(n/2); |
725 | 725 |
Parent::notifier(Edge()).erase(arc); |
726 | 726 |
std::vector<Arc> dir; |
727 | 727 |
dir.push_back(arcFromId(n)); |
728 | 728 |
dir.push_back(arcFromId(n-1)); |
729 | 729 |
Parent::notifier(Arc()).erase(dir); |
730 | 730 |
nodes[arcs[n-1].target].first_out=arcs[n].next_out; |
731 | 731 |
nodes[arcs[n].target].first_out=arcs[n-1].next_out; |
732 | 732 |
arcs.pop_back(); |
733 | 733 |
arcs.pop_back(); |
734 | 734 |
} |
735 | 735 |
while(s.node_num<nodes.size()) { |
736 | 736 |
int n=nodes.size()-1; |
737 | 737 |
Node node = nodeFromId(n); |
738 | 738 |
Parent::notifier(Node()).erase(node); |
739 | 739 |
nodes.pop_back(); |
740 | 740 |
} |
741 | 741 |
} |
742 | 742 |
|
743 | 743 |
public: |
744 | 744 |
|
745 | 745 |
///Class to make a snapshot of the digraph and to restrore to it later. |
746 | 746 |
|
747 | 747 |
///Class to make a snapshot of the digraph and to restrore to it later. |
748 | 748 |
/// |
749 | 749 |
///The newly added nodes and arcs can be removed using the |
750 | 750 |
///restore() function. |
751 | 751 |
/// |
752 | 752 |
///\note After you restore a state, you cannot restore |
753 | 753 |
///a later state, in other word you cannot add again the arcs deleted |
754 | 754 |
///by restore() using another one Snapshot instance. |
755 | 755 |
/// |
756 | 756 |
///\warning If you do not use correctly the snapshot that can cause |
757 | 757 |
///either broken program, invalid state of the digraph, valid but |
758 | 758 |
///not the restored digraph or no change. Because the runtime performance |
759 | 759 |
///the validity of the snapshot is not stored. |
760 | 760 |
class Snapshot |
761 | 761 |
{ |
762 | 762 |
SmartGraph *_graph; |
763 | 763 |
protected: |
764 | 764 |
friend class SmartGraph; |
765 | 765 |
unsigned int node_num; |
766 | 766 |
unsigned int arc_num; |
767 | 767 |
public: |
768 | 768 |
///Default constructor. |
769 | 769 |
|
770 | 770 |
///Default constructor. |
771 | 771 |
///To actually make a snapshot you must call save(). |
772 | 772 |
/// |
773 | 773 |
Snapshot() : _graph(0) {} |
774 | 774 |
///Constructor that immediately makes a snapshot |
775 | 775 |
|
776 | 776 |
///This constructor immediately makes a snapshot of the digraph. |
777 | 777 |
///\param graph The digraph we make a snapshot of. |
778 | 778 |
Snapshot(SmartGraph &graph) { |
779 | 779 |
graph.saveSnapshot(*this); |
780 | 780 |
} |
781 | 781 |
|
782 | 782 |
///Make a snapshot. |
783 | 783 |
|
784 | 784 |
///Make a snapshot of the graph. |
785 | 785 |
/// |
786 | 786 |
///This function can be called more than once. In case of a repeated |
787 | 787 |
///call, the previous snapshot gets lost. |
788 | 788 |
///\param graph The digraph we make the snapshot of. |
789 | 789 |
void save(SmartGraph &graph) |
790 | 790 |
{ |
791 | 791 |
graph.saveSnapshot(*this); |
792 | 792 |
} |
793 | 793 |
|
794 | 794 |
///Undo the changes until a snapshot. |
795 | 795 |
|
796 | 796 |
///Undo the changes until a snapshot created by save(). |
797 | 797 |
/// |
798 | 798 |
///\note After you restored a state, you cannot restore |
799 | 799 |
///a later state, in other word you cannot add again the arcs deleted |
800 | 800 |
///by restore(). |
801 | 801 |
void restore() |
802 | 802 |
{ |
803 | 803 |
_graph->restoreSnapshot(*this); |
804 | 804 |
} |
805 | 805 |
}; |
806 | 806 |
}; |
807 | 807 |
|
808 | 808 |
} //namespace lemon |
809 | 809 |
|
810 | 810 |
|
811 | 811 |
#endif //LEMON_SMART_GRAPH_H |
1 | 1 |
/* -*- C++ -*- |
2 | 2 |
* |
3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library |
4 | 4 |
* |
5 | 5 |
* Copyright (C) 2003-2008 |
6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
8 | 8 |
* |
9 | 9 |
* Permission to use, modify and distribute this software is granted |
10 | 10 |
* provided that this copyright notice appears in all copies. For |
11 | 11 |
* precise terms see the accompanying LICENSE file. |
12 | 12 |
* |
13 | 13 |
* This software is provided "AS IS" with no warranty of any kind, |
14 | 14 |
* express or implied, and with no claim as to its suitability for any |
15 | 15 |
* purpose. |
16 | 16 |
* |
17 | 17 |
*/ |
18 | 18 |
|
19 | 19 |
#ifndef LEMON_STATIC_GRAPH_H |
20 | 20 |
#define LEMON_STATIC_GRAPH_H |
21 | 21 |
|
22 | 22 |
///\ingroup graphs |
23 | 23 |
///\file |
24 | 24 |
///\brief StaticDigraph class. |
25 | 25 |
|
26 | 26 |
#include <lemon/core.h> |
27 | 27 |
#include <lemon/bits/graph_extender.h> |
28 | 28 |
|
29 | 29 |
namespace lemon { |
30 | 30 |
|
31 | 31 |
class StaticDigraphBase { |
32 | 32 |
public: |
33 | 33 |
|
34 | 34 |
StaticDigraphBase() |
35 | 35 |
: built(false), node_num(0), arc_num(0), |
36 | 36 |
node_first_out(NULL), node_first_in(NULL), |
37 | 37 |
arc_source(NULL), arc_target(NULL), |
38 | 38 |
arc_next_in(NULL), arc_next_out(NULL) {} |
39 | 39 |
|
40 | 40 |
~StaticDigraphBase() { |
41 | 41 |
if (built) { |
42 | 42 |
delete[] node_first_out; |
43 | 43 |
delete[] node_first_in; |
44 | 44 |
delete[] arc_source; |
45 | 45 |
delete[] arc_target; |
46 | 46 |
delete[] arc_next_out; |
47 | 47 |
delete[] arc_next_in; |
48 | 48 |
} |
49 | 49 |
} |
50 | 50 |
|
51 | 51 |
class Node { |
52 | 52 |
friend class StaticDigraphBase; |
53 | 53 |
protected: |
54 | 54 |
int id; |
55 | 55 |
Node(int _id) : id(_id) {} |
56 | 56 |
public: |
57 | 57 |
Node() {} |
58 | 58 |
Node (Invalid) : id(-1) {} |
59 | 59 |
bool operator==(const Node& node) const { return id == node.id; } |
60 | 60 |
bool operator!=(const Node& node) const { return id != node.id; } |
61 | 61 |
bool operator<(const Node& node) const { return id < node.id; } |
62 | 62 |
}; |
63 | 63 |
|
64 | 64 |
class Arc { |
65 | 65 |
friend class StaticDigraphBase; |
66 | 66 |
protected: |
67 | 67 |
int id; |
68 | 68 |
Arc(int _id) : id(_id) {} |
69 | 69 |
public: |
70 | 70 |
Arc() { } |
71 | 71 |
Arc (Invalid) : id(-1) {} |
72 | 72 |
bool operator==(const Arc& arc) const { return id == arc.id; } |
73 | 73 |
bool operator!=(const Arc& arc) const { return id != arc.id; } |
74 | 74 |
bool operator<(const Arc& arc) const { return id < arc.id; } |
75 | 75 |
}; |
76 | 76 |
|
77 | 77 |
Node source(const Arc& e) const { return Node(arc_source[e.id]); } |
78 | 78 |
Node target(const Arc& e) const { return Node(arc_target[e.id]); } |
79 | 79 |
|
80 | 80 |
void first(Node& n) const { n.id = node_num - 1; } |
81 | 81 |
static void next(Node& n) { --n.id; } |
82 | 82 |
|
83 | 83 |
void first(Arc& e) const { e.id = arc_num - 1; } |
84 | 84 |
static void next(Arc& e) { --e.id; } |
85 | 85 |
|
86 | 86 |
void firstOut(Arc& e, const Node& n) const { |
87 | 87 |
e.id = node_first_out[n.id] != node_first_out[n.id + 1] ? |
88 | 88 |
node_first_out[n.id] : -1; |
89 | 89 |
} |
90 | 90 |
void nextOut(Arc& e) const { e.id = arc_next_out[e.id]; } |
91 | 91 |
|
92 | 92 |
void firstIn(Arc& e, const Node& n) const { e.id = node_first_in[n.id]; } |
93 | 93 |
void nextIn(Arc& e) const { e.id = arc_next_in[e.id]; } |
94 | 94 |
|
95 |
int id(const Node& n) const { return n.id; } |
|
96 |
Node nodeFromId(int id) const { return Node(id); } |
|
95 |
static int id(const Node& n) { return n.id; } |
|
96 |
static Node nodeFromId(int id) { return Node(id); } |
|
97 | 97 |
int maxNodeId() const { return node_num - 1; } |
98 | 98 |
|
99 |
int id(const Arc& e) const { return e.id; } |
|
100 |
Arc arcFromId(int id) const { return Arc(id); } |
|
99 |
static int id(const Arc& e) { return e.id; } |
|
100 |
static Arc arcFromId(int id) { return Arc(id); } |
|
101 | 101 |
int maxArcId() const { return arc_num - 1; } |
102 | 102 |
|
103 | 103 |
typedef True NodeNumTag; |
104 | 104 |
typedef True ArcNumTag; |
105 | 105 |
|
106 | 106 |
int nodeNum() const { return node_num; } |
107 | 107 |
int arcNum() const { return arc_num; } |
108 | 108 |
|
109 | 109 |
private: |
110 | 110 |
|
111 | 111 |
template <typename Digraph, typename NodeRefMap> |
112 | 112 |
class ArcLess { |
113 | 113 |
public: |
114 | 114 |
typedef typename Digraph::Arc Arc; |
115 | 115 |
|
116 | 116 |
ArcLess(const Digraph &_graph, const NodeRefMap& _nodeRef) |
117 | 117 |
: digraph(_graph), nodeRef(_nodeRef) {} |
118 | 118 |
|
119 | 119 |
bool operator()(const Arc& left, const Arc& right) const { |
120 | 120 |
return nodeRef[digraph.target(left)] < nodeRef[digraph.target(right)]; |
121 | 121 |
} |
122 | 122 |
private: |
123 | 123 |
const Digraph& digraph; |
124 | 124 |
const NodeRefMap& nodeRef; |
125 | 125 |
}; |
126 | 126 |
|
127 | 127 |
public: |
128 | 128 |
|
129 | 129 |
typedef True BuildTag; |
130 | 130 |
|
131 | 131 |
void clear() { |
132 | 132 |
if (built) { |
133 | 133 |
delete[] node_first_out; |
134 | 134 |
delete[] node_first_in; |
135 | 135 |
delete[] arc_source; |
136 | 136 |
delete[] arc_target; |
137 | 137 |
delete[] arc_next_out; |
138 | 138 |
delete[] arc_next_in; |
139 | 139 |
} |
140 | 140 |
built = false; |
141 | 141 |
node_num = 0; |
142 | 142 |
arc_num = 0; |
143 | 143 |
} |
144 | 144 |
|
145 | 145 |
template <typename Digraph, typename NodeRefMap, typename ArcRefMap> |
146 | 146 |
void build(const Digraph& digraph, NodeRefMap& nodeRef, ArcRefMap& arcRef) { |
147 | 147 |
typedef typename Digraph::Node GNode; |
148 | 148 |
typedef typename Digraph::Arc GArc; |
149 | 149 |
|
150 | 150 |
built = true; |
151 | 151 |
|
152 | 152 |
node_num = countNodes(digraph); |
153 | 153 |
arc_num = countArcs(digraph); |
154 | 154 |
|
155 | 155 |
node_first_out = new int[node_num + 1]; |
156 | 156 |
node_first_in = new int[node_num]; |
157 | 157 |
|
158 | 158 |
arc_source = new int[arc_num]; |
159 | 159 |
arc_target = new int[arc_num]; |
160 | 160 |
arc_next_out = new int[arc_num]; |
161 | 161 |
arc_next_in = new int[arc_num]; |
162 | 162 |
|
163 | 163 |
int node_index = 0; |
164 | 164 |
for (typename Digraph::NodeIt n(digraph); n != INVALID; ++n) { |
165 | 165 |
nodeRef[n] = Node(node_index); |
166 | 166 |
node_first_in[node_index] = -1; |
167 | 167 |
++node_index; |
168 | 168 |
} |
169 | 169 |
|
170 | 170 |
ArcLess<Digraph, NodeRefMap> arcLess(digraph, nodeRef); |
171 | 171 |
|
172 | 172 |
int arc_index = 0; |
173 | 173 |
for (typename Digraph::NodeIt n(digraph); n != INVALID; ++n) { |
174 | 174 |
int source = nodeRef[n].id; |
175 | 175 |
std::vector<GArc> arcs; |
176 | 176 |
for (typename Digraph::OutArcIt e(digraph, n); e != INVALID; ++e) { |
177 | 177 |
arcs.push_back(e); |
178 | 178 |
} |
179 | 179 |
if (!arcs.empty()) { |
180 | 180 |
node_first_out[source] = arc_index; |
181 | 181 |
std::sort(arcs.begin(), arcs.end(), arcLess); |
182 | 182 |
for (typename std::vector<GArc>::iterator it = arcs.begin(); |
183 | 183 |
it != arcs.end(); ++it) { |
184 | 184 |
int target = nodeRef[digraph.target(*it)].id; |
185 | 185 |
arcRef[*it] = Arc(arc_index); |
186 | 186 |
arc_source[arc_index] = source; |
187 | 187 |
arc_target[arc_index] = target; |
188 | 188 |
arc_next_in[arc_index] = node_first_in[target]; |
189 | 189 |
node_first_in[target] = arc_index; |
190 | 190 |
arc_next_out[arc_index] = arc_index + 1; |
191 | 191 |
++arc_index; |
192 | 192 |
} |
193 | 193 |
arc_next_out[arc_index - 1] = -1; |
194 | 194 |
} else { |
195 | 195 |
node_first_out[source] = arc_index; |
196 | 196 |
} |
197 | 197 |
} |
198 | 198 |
node_first_out[node_num] = arc_num; |
199 | 199 |
} |
200 | 200 |
|
201 | 201 |
protected: |
202 | 202 |
|
203 | 203 |
void fastFirstOut(Arc& e, const Node& n) const { |
204 | 204 |
e.id = node_first_out[n.id]; |
205 | 205 |
} |
206 | 206 |
|
207 | 207 |
static void fastNextOut(Arc& e) { |
208 | 208 |
++e.id; |
209 | 209 |
} |
210 | 210 |
void fastLastOut(Arc& e, const Node& n) const { |
211 | 211 |
e.id = node_first_out[n.id + 1]; |
212 | 212 |
} |
213 | 213 |
|
214 | 214 |
protected: |
215 | 215 |
bool built; |
216 | 216 |
int node_num; |
217 | 217 |
int arc_num; |
218 | 218 |
int *node_first_out; |
219 | 219 |
int *node_first_in; |
220 | 220 |
int *arc_source; |
221 | 221 |
int *arc_target; |
222 | 222 |
int *arc_next_in; |
223 | 223 |
int *arc_next_out; |
224 | 224 |
}; |
225 | 225 |
|
226 | 226 |
typedef DigraphExtender<StaticDigraphBase> ExtendedStaticDigraphBase; |
227 | 227 |
|
228 | 228 |
|
229 | 229 |
/// \ingroup graphs |
230 | 230 |
/// |
231 | 231 |
/// \brief A static directed graph class. |
232 | 232 |
/// |
233 | 233 |
/// \ref StaticDigraph is a highly efficient digraph implementation, |
234 | 234 |
/// but it is fully static. |
235 | 235 |
/// It stores only two \c int values for each node and only four \c int |
236 | 236 |
/// values for each arc. Moreover it provides faster item iteration than |
237 | 237 |
/// \ref ListDigraph and \ref SmartDigraph, especially using \c OutArcIt |
238 | 238 |
/// iterators, since its arcs are stored in an appropriate order. |
239 | 239 |
/// However it only provides build() and clear() functions and does not |
240 | 240 |
/// support any other modification of the digraph. |
241 | 241 |
/// |
242 | 242 |
/// Since this digraph structure is completely static, its nodes and arcs |
243 | 243 |
/// can be indexed with integers from the ranges <tt>[0..nodeNum()-1]</tt> |
244 | 244 |
/// and <tt>[0..arcNum()-1]</tt>, respectively. |
245 | 245 |
/// The index of an item is the same as its ID, it can be obtained |
246 | 246 |
/// using the corresponding \ref index() or \ref concepts::Digraph::id() |
247 | 247 |
/// "id()" function. A node or arc with a certain index can be obtained |
248 | 248 |
/// using node() or arc(). |
249 | 249 |
/// |
250 | 250 |
/// This type fully conforms to the \ref concepts::Digraph "Digraph concept". |
251 | 251 |
/// Most of its member functions and nested classes are documented |
252 | 252 |
/// only in the concept class. |
253 | 253 |
/// |
254 | 254 |
/// \sa concepts::Digraph |
255 | 255 |
class StaticDigraph : public ExtendedStaticDigraphBase { |
256 | 256 |
public: |
257 | 257 |
|
258 | 258 |
typedef ExtendedStaticDigraphBase Parent; |
259 | 259 |
|
260 | 260 |
public: |
261 | 261 |
|
262 | 262 |
/// \brief Constructor |
263 | 263 |
/// |
264 | 264 |
/// Default constructor. |
265 | 265 |
StaticDigraph() : Parent() {} |
266 | 266 |
|
267 | 267 |
/// \brief The node with the given index. |
268 | 268 |
/// |
269 | 269 |
/// This function returns the node with the given index. |
270 | 270 |
/// \sa index() |
271 |
Node node(int ix) |
|
271 |
static Node node(int ix) { return Parent::nodeFromId(ix); } |
|
272 | 272 |
|
273 | 273 |
/// \brief The arc with the given index. |
274 | 274 |
/// |
275 | 275 |
/// This function returns the arc with the given index. |
276 | 276 |
/// \sa index() |
277 |
Arc arc(int ix) |
|
277 |
static Arc arc(int ix) { return Parent::arcFromId(ix); } |
|
278 | 278 |
|
279 | 279 |
/// \brief The index of the given node. |
280 | 280 |
/// |
281 | 281 |
/// This function returns the index of the the given node. |
282 | 282 |
/// \sa node() |
283 |
int index(Node node) |
|
283 |
static int index(Node node) { return Parent::id(node); } |
|
284 | 284 |
|
285 | 285 |
/// \brief The index of the given arc. |
286 | 286 |
/// |
287 | 287 |
/// This function returns the index of the the given arc. |
288 | 288 |
/// \sa arc() |
289 |
int index(Arc arc) |
|
289 |
static int index(Arc arc) { return Parent::id(arc); } |
|
290 | 290 |
|
291 | 291 |
/// \brief Number of nodes. |
292 | 292 |
/// |
293 | 293 |
/// This function returns the number of nodes. |
294 | 294 |
int nodeNum() const { return node_num; } |
295 | 295 |
|
296 | 296 |
/// \brief Number of arcs. |
297 | 297 |
/// |
298 | 298 |
/// This function returns the number of arcs. |
299 | 299 |
int arcNum() const { return arc_num; } |
300 | 300 |
|
301 | 301 |
/// \brief Build the digraph copying another digraph. |
302 | 302 |
/// |
303 | 303 |
/// This function builds the digraph copying another digraph of any |
304 | 304 |
/// kind. It can be called more than once, but in such case, the whole |
305 | 305 |
/// structure and all maps will be cleared and rebuilt. |
306 | 306 |
/// |
307 | 307 |
/// This method also makes possible to copy a digraph to a StaticDigraph |
308 | 308 |
/// structure using \ref DigraphCopy. |
309 | 309 |
/// |
310 | 310 |
/// \param digraph An existing digraph to be copied. |
311 | 311 |
/// \param nodeRef The node references will be copied into this map. |
312 | 312 |
/// Its key type must be \c Digraph::Node and its value type must be |
313 | 313 |
/// \c StaticDigraph::Node. |
314 | 314 |
/// It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap" |
315 | 315 |
/// concept. |
316 | 316 |
/// \param arcRef The arc references will be copied into this map. |
317 | 317 |
/// Its key type must be \c Digraph::Arc and its value type must be |
318 | 318 |
/// \c StaticDigraph::Arc. |
319 | 319 |
/// It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
320 | 320 |
/// |
321 | 321 |
/// \note If you do not need the arc references, then you could use |
322 | 322 |
/// \ref NullMap for the last parameter. However the node references |
323 | 323 |
/// are required by the function itself, thus they must be readable |
324 | 324 |
/// from the map. |
325 | 325 |
template <typename Digraph, typename NodeRefMap, typename ArcRefMap> |
326 | 326 |
void build(const Digraph& digraph, NodeRefMap& nodeRef, ArcRefMap& arcRef) { |
327 | 327 |
if (built) Parent::clear(); |
328 | 328 |
Parent::build(digraph, nodeRef, arcRef); |
329 | 329 |
} |
330 | 330 |
|
331 | 331 |
/// \brief Clear the digraph. |
332 | 332 |
/// |
333 | 333 |
/// This function erases all nodes and arcs from the digraph. |
334 | 334 |
void clear() { |
335 | 335 |
Parent::clear(); |
336 | 336 |
} |
337 | 337 |
|
338 | 338 |
protected: |
339 | 339 |
|
340 | 340 |
using Parent::fastFirstOut; |
341 | 341 |
using Parent::fastNextOut; |
342 | 342 |
using Parent::fastLastOut; |
343 | 343 |
|
344 | 344 |
public: |
345 | 345 |
|
346 | 346 |
class OutArcIt : public Arc { |
347 | 347 |
public: |
348 | 348 |
|
349 | 349 |
OutArcIt() { } |
350 | 350 |
|
351 | 351 |
OutArcIt(Invalid i) : Arc(i) { } |
352 | 352 |
|
353 | 353 |
OutArcIt(const StaticDigraph& digraph, const Node& node) { |
354 | 354 |
digraph.fastFirstOut(*this, node); |
355 | 355 |
digraph.fastLastOut(last, node); |
356 | 356 |
if (last == *this) *this = INVALID; |
357 | 357 |
} |
358 | 358 |
|
359 | 359 |
OutArcIt(const StaticDigraph& digraph, const Arc& arc) : Arc(arc) { |
360 | 360 |
if (arc != INVALID) { |
361 | 361 |
digraph.fastLastOut(last, digraph.source(arc)); |
362 | 362 |
} |
363 | 363 |
} |
364 | 364 |
|
365 | 365 |
OutArcIt& operator++() { |
366 | 366 |
StaticDigraph::fastNextOut(*this); |
367 | 367 |
if (last == *this) *this = INVALID; |
368 | 368 |
return *this; |
369 | 369 |
} |
370 | 370 |
|
371 | 371 |
private: |
372 | 372 |
Arc last; |
373 | 373 |
}; |
374 | 374 |
|
375 | 375 |
Node baseNode(const OutArcIt &arc) const { |
376 | 376 |
return Parent::source(static_cast<const Arc&>(arc)); |
377 | 377 |
} |
378 | 378 |
|
379 | 379 |
Node runningNode(const OutArcIt &arc) const { |
380 | 380 |
return Parent::target(static_cast<const Arc&>(arc)); |
381 | 381 |
} |
382 | 382 |
|
383 | 383 |
Node baseNode(const InArcIt &arc) const { |
384 | 384 |
return Parent::target(static_cast<const Arc&>(arc)); |
385 | 385 |
} |
386 | 386 |
|
387 | 387 |
Node runningNode(const InArcIt &arc) const { |
388 | 388 |
return Parent::source(static_cast<const Arc&>(arc)); |
389 | 389 |
} |
390 | 390 |
|
391 | 391 |
}; |
392 | 392 |
|
393 | 393 |
} |
394 | 394 |
|
395 | 395 |
#endif |
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