1 | /* -*- C++ -*- |
---|
2 | * src/lemon/smart_graph.h - Part of LEMON, a generic C++ optimization library |
---|
3 | * |
---|
4 | * Copyright (C) 2004 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
---|
5 | * (Egervary Combinatorial Optimization Research Group, EGRES). |
---|
6 | * |
---|
7 | * Permission to use, modify and distribute this software is granted |
---|
8 | * provided that this copyright notice appears in all copies. For |
---|
9 | * precise terms see the accompanying LICENSE file. |
---|
10 | * |
---|
11 | * This software is provided "AS IS" with no warranty of any kind, |
---|
12 | * express or implied, and with no claim as to its suitability for any |
---|
13 | * purpose. |
---|
14 | * |
---|
15 | */ |
---|
16 | |
---|
17 | #ifndef LEMON_SMART_GRAPH_H |
---|
18 | #define LEMON_SMART_GRAPH_H |
---|
19 | |
---|
20 | ///\ingroup graphs |
---|
21 | ///\file |
---|
22 | ///\brief SmartGraph and SymSmartGraph classes. |
---|
23 | |
---|
24 | #include <vector> |
---|
25 | #include <climits> |
---|
26 | |
---|
27 | #include <lemon/invalid.h> |
---|
28 | |
---|
29 | |
---|
30 | #include <lemon/array_map.h> |
---|
31 | |
---|
32 | #include <lemon/map_registry.h> |
---|
33 | |
---|
34 | #include <lemon/map_defines.h> |
---|
35 | |
---|
36 | namespace lemon { |
---|
37 | |
---|
38 | /// \addtogroup graphs |
---|
39 | /// @{ |
---|
40 | // class SymSmartGraph; |
---|
41 | |
---|
42 | ///A smart graph class. |
---|
43 | |
---|
44 | ///This is a simple and fast graph implementation. |
---|
45 | ///It is also quite memory efficient, but at the price |
---|
46 | ///that <b> it does not support node and edge deletion</b>. |
---|
47 | ///It conforms to |
---|
48 | ///the \ref skeleton::ExtendableGraph "ExtendableGraph" concept. |
---|
49 | ///\sa skeleton::ExtendableGraph. |
---|
50 | /// |
---|
51 | ///\todo Some member functions could be \c static. |
---|
52 | /// |
---|
53 | ///\todo A possibly useful functionality: a function saveState() would |
---|
54 | ///give back a data sturcture X and then the function restoreState(X) |
---|
55 | ///would remove the nodes and edges added after the call of saveState(). |
---|
56 | ///Of course it should be used as a stack. (Maybe X is not necessary.) |
---|
57 | /// |
---|
58 | ///\author Alpar Juttner |
---|
59 | class SmartGraph { |
---|
60 | |
---|
61 | struct NodeT |
---|
62 | { |
---|
63 | int first_in,first_out; |
---|
64 | NodeT() : first_in(-1), first_out(-1) {} |
---|
65 | }; |
---|
66 | struct EdgeT |
---|
67 | { |
---|
68 | int head, tail, next_in, next_out; |
---|
69 | //FIXME: is this necessary? |
---|
70 | EdgeT() : next_in(-1), next_out(-1) {} |
---|
71 | }; |
---|
72 | |
---|
73 | std::vector<NodeT> nodes; |
---|
74 | |
---|
75 | std::vector<EdgeT> edges; |
---|
76 | |
---|
77 | |
---|
78 | public: |
---|
79 | |
---|
80 | typedef SmartGraph Graph; |
---|
81 | |
---|
82 | class Node; |
---|
83 | class Edge; |
---|
84 | |
---|
85 | class NodeIt; |
---|
86 | class EdgeIt; |
---|
87 | class OutEdgeIt; |
---|
88 | class InEdgeIt; |
---|
89 | |
---|
90 | // Create map registries. |
---|
91 | CREATE_MAP_REGISTRIES; |
---|
92 | // Create node and edge maps. |
---|
93 | CREATE_MAPS(ArrayMap); |
---|
94 | |
---|
95 | public: |
---|
96 | |
---|
97 | SmartGraph() : nodes(), edges() { } |
---|
98 | SmartGraph(const SmartGraph &_g) : nodes(_g.nodes), edges(_g.edges) { } |
---|
99 | |
---|
100 | ///Number of nodes. |
---|
101 | int nodeNum() const { return nodes.size(); } |
---|
102 | ///Number of edges. |
---|
103 | int edgeNum() const { return edges.size(); } |
---|
104 | |
---|
105 | /// Maximum node ID. |
---|
106 | |
---|
107 | /// Maximum node ID. |
---|
108 | ///\sa id(Node) |
---|
109 | int maxNodeId() const { return nodes.size()-1; } |
---|
110 | /// Maximum edge ID. |
---|
111 | |
---|
112 | /// Maximum edge ID. |
---|
113 | ///\sa id(Edge) |
---|
114 | int maxEdgeId() const { return edges.size()-1; } |
---|
115 | |
---|
116 | Node tail(Edge e) const { return edges[e.n].tail; } |
---|
117 | Node head(Edge e) const { return edges[e.n].head; } |
---|
118 | |
---|
119 | NodeIt& first(NodeIt& v) const { |
---|
120 | v=NodeIt(*this); return v; } |
---|
121 | EdgeIt& first(EdgeIt& e) const { |
---|
122 | e=EdgeIt(*this); return e; } |
---|
123 | OutEdgeIt& first(OutEdgeIt& e, const Node v) const { |
---|
124 | e=OutEdgeIt(*this,v); return e; } |
---|
125 | InEdgeIt& first(InEdgeIt& e, const Node v) const { |
---|
126 | e=InEdgeIt(*this,v); return e; } |
---|
127 | |
---|
128 | /// Node ID. |
---|
129 | |
---|
130 | /// The ID of a valid Node is a nonnegative integer not greater than |
---|
131 | /// \ref maxNodeId(). The range of the ID's is not surely continuous |
---|
132 | /// and the greatest node ID can be actually less then \ref maxNodeId(). |
---|
133 | /// |
---|
134 | /// The ID of the \ref INVALID node is -1. |
---|
135 | ///\return The ID of the node \c v. |
---|
136 | static int id(Node v) { return v.n; } |
---|
137 | /// Edge ID. |
---|
138 | |
---|
139 | /// The ID of a valid Edge is a nonnegative integer not greater than |
---|
140 | /// \ref maxEdgeId(). The range of the ID's is not surely continuous |
---|
141 | /// and the greatest edge ID can be actually less then \ref maxEdgeId(). |
---|
142 | /// |
---|
143 | /// The ID of the \ref INVALID edge is -1. |
---|
144 | ///\return The ID of the edge \c e. |
---|
145 | static int id(Edge e) { return e.n; } |
---|
146 | |
---|
147 | Node addNode() { |
---|
148 | Node n; n.n=nodes.size(); |
---|
149 | nodes.push_back(NodeT()); //FIXME: Hmmm... |
---|
150 | |
---|
151 | |
---|
152 | node_maps.add(n); |
---|
153 | return n; |
---|
154 | } |
---|
155 | |
---|
156 | Edge addEdge(Node u, Node v) { |
---|
157 | Edge e; e.n=edges.size(); edges.push_back(EdgeT()); //FIXME: Hmmm... |
---|
158 | edges[e.n].tail=u.n; edges[e.n].head=v.n; |
---|
159 | edges[e.n].next_out=nodes[u.n].first_out; |
---|
160 | edges[e.n].next_in=nodes[v.n].first_in; |
---|
161 | nodes[u.n].first_out=nodes[v.n].first_in=e.n; |
---|
162 | |
---|
163 | edge_maps.add(e); |
---|
164 | |
---|
165 | return e; |
---|
166 | } |
---|
167 | |
---|
168 | /// Finds an edge between two nodes. |
---|
169 | |
---|
170 | /// Finds an edge from node \c u to node \c v. |
---|
171 | /// |
---|
172 | /// If \c prev is \ref INVALID (this is the default value), then |
---|
173 | /// It finds the first edge from \c u to \c v. Otherwise it looks for |
---|
174 | /// the next edge from \c u to \c v after \c prev. |
---|
175 | /// \return The found edge or INVALID if there is no such an edge. |
---|
176 | Edge findEdge(Node u,Node v, Edge prev = INVALID) |
---|
177 | { |
---|
178 | int e = (prev.n==-1)? nodes[u.n].first_out : edges[prev.n].next_out; |
---|
179 | while(e!=-1 && edges[e].tail!=v.n) e = edges[e].next_out; |
---|
180 | prev.n=e; |
---|
181 | return prev; |
---|
182 | } |
---|
183 | |
---|
184 | void clear() { |
---|
185 | edge_maps.clear(); |
---|
186 | edges.clear(); |
---|
187 | node_maps.clear(); |
---|
188 | nodes.clear(); |
---|
189 | } |
---|
190 | |
---|
191 | class Node { |
---|
192 | friend class SmartGraph; |
---|
193 | template <typename T> friend class NodeMap; |
---|
194 | |
---|
195 | friend class Edge; |
---|
196 | friend class OutEdgeIt; |
---|
197 | friend class InEdgeIt; |
---|
198 | friend class SymEdge; |
---|
199 | |
---|
200 | protected: |
---|
201 | int n; |
---|
202 | friend int SmartGraph::id(Node v); |
---|
203 | Node(int nn) {n=nn;} |
---|
204 | public: |
---|
205 | Node() {} |
---|
206 | Node (Invalid) { n=-1; } |
---|
207 | bool operator==(const Node i) const {return n==i.n;} |
---|
208 | bool operator!=(const Node i) const {return n!=i.n;} |
---|
209 | bool operator<(const Node i) const {return n<i.n;} |
---|
210 | // ///Validity check |
---|
211 | // operator bool() { return n!=-1; } |
---|
212 | }; |
---|
213 | |
---|
214 | class NodeIt : public Node { |
---|
215 | const SmartGraph *G; |
---|
216 | friend class SmartGraph; |
---|
217 | public: |
---|
218 | NodeIt() : Node() { } |
---|
219 | NodeIt(const SmartGraph& _G,Node n) : Node(n), G(&_G) { } |
---|
220 | NodeIt(Invalid i) : Node(i) { } |
---|
221 | NodeIt(const SmartGraph& _G) : Node(_G.nodes.size()?0:-1), G(&_G) { } |
---|
222 | NodeIt &operator++() { |
---|
223 | n=(n+2)%(G->nodes.size()+1)-1; |
---|
224 | return *this; |
---|
225 | } |
---|
226 | // ///Validity check |
---|
227 | // operator bool() { return Node::operator bool(); } |
---|
228 | }; |
---|
229 | |
---|
230 | class Edge { |
---|
231 | friend class SmartGraph; |
---|
232 | template <typename T> friend class EdgeMap; |
---|
233 | |
---|
234 | friend class SymSmartGraph; |
---|
235 | |
---|
236 | friend class Node; |
---|
237 | friend class NodeIt; |
---|
238 | protected: |
---|
239 | int n; |
---|
240 | friend int SmartGraph::id(Edge e); |
---|
241 | Edge(int nn) {n=nn;} |
---|
242 | public: |
---|
243 | /// An Edge with id \c n. |
---|
244 | |
---|
245 | Edge() { } |
---|
246 | Edge (Invalid) { n=-1; } |
---|
247 | bool operator==(const Edge i) const {return n==i.n;} |
---|
248 | bool operator!=(const Edge i) const {return n!=i.n;} |
---|
249 | bool operator<(const Edge i) const {return n<i.n;} |
---|
250 | // ///Validity check |
---|
251 | // operator bool() { return n!=-1; } |
---|
252 | |
---|
253 | ///Set the edge to that have ID \c ID. |
---|
254 | void setToId(int id) { n=id; } |
---|
255 | }; |
---|
256 | |
---|
257 | class EdgeIt : public Edge { |
---|
258 | const SmartGraph *G; |
---|
259 | friend class SmartGraph; |
---|
260 | public: |
---|
261 | EdgeIt(const SmartGraph& _G) : Edge(_G.edges.size()-1), G(&_G) { } |
---|
262 | EdgeIt(const SmartGraph& _G, Edge e) : Edge(e), G(&_G) { } |
---|
263 | EdgeIt (Invalid i) : Edge(i) { } |
---|
264 | EdgeIt() : Edge() { } |
---|
265 | EdgeIt &operator++() { --n; return *this; } |
---|
266 | // ///Validity check |
---|
267 | // operator bool() { return Edge::operator bool(); } |
---|
268 | }; |
---|
269 | |
---|
270 | class OutEdgeIt : public Edge { |
---|
271 | const SmartGraph *G; |
---|
272 | friend class SmartGraph; |
---|
273 | public: |
---|
274 | OutEdgeIt() : Edge() { } |
---|
275 | OutEdgeIt(const SmartGraph& _G, Edge e) : Edge(e), G(&_G) { } |
---|
276 | OutEdgeIt (Invalid i) : Edge(i) { } |
---|
277 | |
---|
278 | OutEdgeIt(const SmartGraph& _G,const Node v) |
---|
279 | : Edge(_G.nodes[v.n].first_out), G(&_G) {} |
---|
280 | OutEdgeIt &operator++() { n=G->edges[n].next_out; return *this; } |
---|
281 | // ///Validity check |
---|
282 | // operator bool() { return Edge::operator bool(); } |
---|
283 | }; |
---|
284 | |
---|
285 | class InEdgeIt : public Edge { |
---|
286 | const SmartGraph *G; |
---|
287 | friend class SmartGraph; |
---|
288 | public: |
---|
289 | InEdgeIt() : Edge() { } |
---|
290 | InEdgeIt(const SmartGraph& _G, Edge e) : Edge(e), G(&_G) { } |
---|
291 | InEdgeIt (Invalid i) : Edge(i) { } |
---|
292 | InEdgeIt(const SmartGraph& _G,Node v) |
---|
293 | : Edge(_G.nodes[v.n].first_in), G(&_G) { } |
---|
294 | InEdgeIt &operator++() { n=G->edges[n].next_in; return *this; } |
---|
295 | // ///Validity check |
---|
296 | // operator bool() { return Edge::operator bool(); } |
---|
297 | }; |
---|
298 | |
---|
299 | }; |
---|
300 | |
---|
301 | |
---|
302 | |
---|
303 | class SymSmartGraph : public SmartGraph { |
---|
304 | typedef SmartGraph Parent; |
---|
305 | public: |
---|
306 | |
---|
307 | typedef SymSmartGraph Graph; |
---|
308 | |
---|
309 | typedef SmartGraph::Node Node; |
---|
310 | typedef SmartGraph::NodeIt NodeIt; |
---|
311 | |
---|
312 | class SymEdge; |
---|
313 | class SymEdgeIt; |
---|
314 | |
---|
315 | class Edge; |
---|
316 | class EdgeIt; |
---|
317 | class OutEdgeIt; |
---|
318 | class InEdgeIt; |
---|
319 | |
---|
320 | template <typename Value> |
---|
321 | class NodeMap : public Parent::NodeMap<Value> { |
---|
322 | public: |
---|
323 | NodeMap(const SymSmartGraph& g) |
---|
324 | : SymSmartGraph::Parent::NodeMap<Value>(g) {} |
---|
325 | NodeMap(const SymSmartGraph& g, Value v) |
---|
326 | : SymSmartGraph::Parent::NodeMap<Value>(g, v) {} |
---|
327 | template<typename TT> |
---|
328 | NodeMap(const NodeMap<TT>& copy) |
---|
329 | : SymSmartGraph::Parent::NodeMap<Value>(copy) { } |
---|
330 | }; |
---|
331 | |
---|
332 | template <typename Value> |
---|
333 | class SymEdgeMap : public Parent::EdgeMap<Value> { |
---|
334 | public: |
---|
335 | typedef SymEdge KeyType; |
---|
336 | |
---|
337 | SymEdgeMap(const SymSmartGraph& g) |
---|
338 | : SymSmartGraph::Parent::EdgeMap<Value>(g) {} |
---|
339 | SymEdgeMap(const SymSmartGraph& g, Value v) |
---|
340 | : SymSmartGraph::Parent::EdgeMap<Value>(g, v) {} |
---|
341 | template<typename TT> |
---|
342 | SymEdgeMap(const SymEdgeMap<TT>& copy) |
---|
343 | : SymSmartGraph::Parent::EdgeMap<Value>(copy) { } |
---|
344 | |
---|
345 | }; |
---|
346 | |
---|
347 | // Create edge map registry. |
---|
348 | CREATE_EDGE_MAP_REGISTRY; |
---|
349 | // Create edge maps. |
---|
350 | CREATE_EDGE_MAP(ArrayMap); |
---|
351 | |
---|
352 | class Edge { |
---|
353 | friend class SymSmartGraph; |
---|
354 | friend class SymSmartGraph::EdgeIt; |
---|
355 | friend class SymSmartGraph::OutEdgeIt; |
---|
356 | friend class SymSmartGraph::InEdgeIt; |
---|
357 | |
---|
358 | protected: |
---|
359 | int id; |
---|
360 | |
---|
361 | Edge(int pid) { id = pid; } |
---|
362 | |
---|
363 | public: |
---|
364 | /// An Edge with id \c n. |
---|
365 | |
---|
366 | Edge() { } |
---|
367 | Edge (Invalid) { id = -1; } |
---|
368 | |
---|
369 | operator SymEdge(){ return SymEdge(id >> 1);} |
---|
370 | |
---|
371 | bool operator==(const Edge i) const {return id == i.id;} |
---|
372 | bool operator!=(const Edge i) const {return id != i.id;} |
---|
373 | bool operator<(const Edge i) const {return id < i.id;} |
---|
374 | // ///Validity check |
---|
375 | // operator bool() { return n!=-1; } |
---|
376 | }; |
---|
377 | |
---|
378 | class SymEdge : public SmartGraph::Edge { |
---|
379 | friend class SymSmartGraph; |
---|
380 | friend class SymSmartGraph::Edge; |
---|
381 | typedef SmartGraph::Edge Parent; |
---|
382 | |
---|
383 | protected: |
---|
384 | SymEdge(int pid) : Parent(pid) {} |
---|
385 | public: |
---|
386 | |
---|
387 | SymEdge() { } |
---|
388 | SymEdge(const SmartGraph::Edge& i) : Parent(i) {} |
---|
389 | SymEdge (Invalid) : Parent(INVALID) {} |
---|
390 | |
---|
391 | }; |
---|
392 | |
---|
393 | class OutEdgeIt { |
---|
394 | Parent::OutEdgeIt out; |
---|
395 | Parent::InEdgeIt in; |
---|
396 | public: |
---|
397 | OutEdgeIt() {} |
---|
398 | OutEdgeIt(const SymSmartGraph& g, Edge e) { |
---|
399 | if ((e.id & 1) == 0) { |
---|
400 | out = Parent::OutEdgeIt(g, SymEdge(e)); |
---|
401 | in = Parent::InEdgeIt(g, g.tail(e)); |
---|
402 | } else { |
---|
403 | out = Parent::OutEdgeIt(INVALID); |
---|
404 | in = Parent::InEdgeIt(g, SymEdge(e)); |
---|
405 | } |
---|
406 | } |
---|
407 | OutEdgeIt (Invalid i) : out(INVALID), in(INVALID) { } |
---|
408 | |
---|
409 | OutEdgeIt(const SymSmartGraph& g, const Node v) |
---|
410 | : out(g, v), in(g, v) {} |
---|
411 | OutEdgeIt &operator++() { |
---|
412 | if (out != INVALID) { |
---|
413 | ++out; |
---|
414 | } else { |
---|
415 | ++in; |
---|
416 | } |
---|
417 | return *this; |
---|
418 | } |
---|
419 | |
---|
420 | operator Edge() const { |
---|
421 | if (out == INVALID && in == INVALID) return INVALID; |
---|
422 | return out != INVALID ? forward(out) : backward(in); |
---|
423 | } |
---|
424 | |
---|
425 | bool operator==(const Edge i) const {return Edge(*this) == i;} |
---|
426 | bool operator!=(const Edge i) const {return Edge(*this) != i;} |
---|
427 | bool operator<(const Edge i) const {return Edge(*this) < i;} |
---|
428 | }; |
---|
429 | |
---|
430 | class InEdgeIt { |
---|
431 | Parent::OutEdgeIt out; |
---|
432 | Parent::InEdgeIt in; |
---|
433 | public: |
---|
434 | InEdgeIt() {} |
---|
435 | InEdgeIt(const SymSmartGraph& g, Edge e) { |
---|
436 | if ((e.id & 1) == 0) { |
---|
437 | out = Parent::OutEdgeIt(g, SymEdge(e)); |
---|
438 | in = Parent::InEdgeIt(g, g.tail(e)); |
---|
439 | } else { |
---|
440 | out = Parent::OutEdgeIt(INVALID); |
---|
441 | in = Parent::InEdgeIt(g, SymEdge(e)); |
---|
442 | } |
---|
443 | } |
---|
444 | InEdgeIt (Invalid i) : out(INVALID), in(INVALID) { } |
---|
445 | |
---|
446 | InEdgeIt(const SymSmartGraph& g, const Node v) |
---|
447 | : out(g, v), in(g, v) {} |
---|
448 | |
---|
449 | InEdgeIt &operator++() { |
---|
450 | if (out != INVALID) { |
---|
451 | ++out; |
---|
452 | } else { |
---|
453 | ++in; |
---|
454 | } |
---|
455 | return *this; |
---|
456 | } |
---|
457 | |
---|
458 | operator Edge() const { |
---|
459 | if (out == INVALID && in == INVALID) return INVALID; |
---|
460 | return out != INVALID ? backward(out) : forward(in); |
---|
461 | } |
---|
462 | |
---|
463 | bool operator==(const Edge i) const {return Edge(*this) == i;} |
---|
464 | bool operator!=(const Edge i) const {return Edge(*this) != i;} |
---|
465 | bool operator<(const Edge i) const {return Edge(*this) < i;} |
---|
466 | }; |
---|
467 | |
---|
468 | class SymEdgeIt : public Parent::EdgeIt { |
---|
469 | |
---|
470 | public: |
---|
471 | SymEdgeIt() {} |
---|
472 | |
---|
473 | SymEdgeIt(const SymSmartGraph& g) |
---|
474 | : SymSmartGraph::Parent::EdgeIt(g) {} |
---|
475 | |
---|
476 | SymEdgeIt(const SymSmartGraph& g, SymEdge e) |
---|
477 | : SymSmartGraph::Parent::EdgeIt(g, e) {} |
---|
478 | |
---|
479 | SymEdgeIt(Invalid i) |
---|
480 | : SymSmartGraph::Parent::EdgeIt(INVALID) {} |
---|
481 | |
---|
482 | SymEdgeIt& operator++() { |
---|
483 | SymSmartGraph::Parent::EdgeIt::operator++(); |
---|
484 | return *this; |
---|
485 | } |
---|
486 | |
---|
487 | operator SymEdge() const { |
---|
488 | return SymEdge |
---|
489 | (static_cast<const SymSmartGraph::Parent::EdgeIt&>(*this)); |
---|
490 | } |
---|
491 | bool operator==(const SymEdge i) const {return SymEdge(*this) == i;} |
---|
492 | bool operator!=(const SymEdge i) const {return SymEdge(*this) != i;} |
---|
493 | bool operator<(const SymEdge i) const {return SymEdge(*this) < i;} |
---|
494 | }; |
---|
495 | |
---|
496 | class EdgeIt { |
---|
497 | SymEdgeIt it; |
---|
498 | bool fw; |
---|
499 | public: |
---|
500 | EdgeIt(const SymSmartGraph& g) : it(g), fw(true) {} |
---|
501 | EdgeIt (Invalid i) : it(i) { } |
---|
502 | EdgeIt(const SymSmartGraph& g, Edge e) |
---|
503 | : it(g, SymEdge(e)), fw(id(e) & 1 == 0) { } |
---|
504 | EdgeIt() { } |
---|
505 | EdgeIt& operator++() { |
---|
506 | fw = !fw; |
---|
507 | if (fw) ++it; |
---|
508 | return *this; |
---|
509 | } |
---|
510 | operator Edge() const { |
---|
511 | if (it == INVALID) return INVALID; |
---|
512 | return fw ? forward(it) : backward(it); |
---|
513 | } |
---|
514 | bool operator==(const Edge i) const {return Edge(*this) == i;} |
---|
515 | bool operator!=(const Edge i) const {return Edge(*this) != i;} |
---|
516 | bool operator<(const Edge i) const {return Edge(*this) < i;} |
---|
517 | |
---|
518 | }; |
---|
519 | |
---|
520 | ///Number of nodes. |
---|
521 | int nodeNum() const { return Parent::nodeNum(); } |
---|
522 | ///Number of edges. |
---|
523 | int edgeNum() const { return 2*Parent::edgeNum(); } |
---|
524 | ///Number of symmetric edges. |
---|
525 | int symEdgeNum() const { return Parent::edgeNum(); } |
---|
526 | |
---|
527 | /// Maximum node ID. |
---|
528 | |
---|
529 | /// Maximum node ID. |
---|
530 | ///\sa id(Node) |
---|
531 | int maxNodeId() const { return Parent::maxNodeId(); } |
---|
532 | /// Maximum edge ID. |
---|
533 | |
---|
534 | /// Maximum edge ID. |
---|
535 | ///\sa id(Edge) |
---|
536 | int maxEdgeId() const { return 2*Parent::maxEdgeId(); } |
---|
537 | /// Maximum symmetric edge ID. |
---|
538 | |
---|
539 | /// Maximum symmetric edge ID. |
---|
540 | ///\sa id(SymEdge) |
---|
541 | int maxSymEdgeId() const { return Parent::maxEdgeId(); } |
---|
542 | |
---|
543 | |
---|
544 | Node tail(Edge e) const { |
---|
545 | return (e.id & 1) == 0 ? |
---|
546 | Parent::tail(SymEdge(e)) : Parent::head(SymEdge(e)); |
---|
547 | } |
---|
548 | |
---|
549 | Node head(Edge e) const { |
---|
550 | return (e.id & 1) == 0 ? |
---|
551 | Parent::head(SymEdge(e)) : Parent::tail(SymEdge(e)); |
---|
552 | } |
---|
553 | |
---|
554 | Node tail(SymEdge e) const { |
---|
555 | return Parent::tail(e); |
---|
556 | } |
---|
557 | |
---|
558 | Node head(SymEdge e) const { |
---|
559 | return Parent::head(e); |
---|
560 | } |
---|
561 | |
---|
562 | NodeIt& first(NodeIt& v) const { |
---|
563 | v=NodeIt(*this); return v; } |
---|
564 | EdgeIt& first(EdgeIt& e) const { |
---|
565 | e=EdgeIt(*this); return e; } |
---|
566 | SymEdgeIt& first(SymEdgeIt& e) const { |
---|
567 | e=SymEdgeIt(*this); return e; } |
---|
568 | OutEdgeIt& first(OutEdgeIt& e, const Node v) const { |
---|
569 | e=OutEdgeIt(*this,v); return e; } |
---|
570 | InEdgeIt& first(InEdgeIt& e, const Node v) const { |
---|
571 | e=InEdgeIt(*this,v); return e; } |
---|
572 | |
---|
573 | /// Node ID. |
---|
574 | |
---|
575 | /// The ID of a valid Node is a nonnegative integer not greater than |
---|
576 | /// \ref maxNodeId(). The range of the ID's is not surely continuous |
---|
577 | /// and the greatest node ID can be actually less then \ref maxNodeId(). |
---|
578 | /// |
---|
579 | /// The ID of the \ref INVALID node is -1. |
---|
580 | ///\return The ID of the node \c v. |
---|
581 | static int id(Node v) { return Parent::id(v); } |
---|
582 | /// Edge ID. |
---|
583 | |
---|
584 | /// The ID of a valid Edge is a nonnegative integer not greater than |
---|
585 | /// \ref maxEdgeId(). The range of the ID's is not surely continuous |
---|
586 | /// and the greatest edge ID can be actually less then \ref maxEdgeId(). |
---|
587 | /// |
---|
588 | /// The ID of the \ref INVALID edge is -1. |
---|
589 | ///\return The ID of the edge \c e. |
---|
590 | static int id(Edge e) { return e.id; } |
---|
591 | |
---|
592 | /// The ID of a valid SymEdge is a nonnegative integer not greater than |
---|
593 | /// \ref maxSymEdgeId(). The range of the ID's is not surely continuous |
---|
594 | /// and the greatest edge ID can be actually less then \ref maxSymEdgeId(). |
---|
595 | /// |
---|
596 | /// The ID of the \ref INVALID symmetric edge is -1. |
---|
597 | ///\return The ID of the edge \c e. |
---|
598 | static int id(SymEdge e) { return Parent::id(e); } |
---|
599 | |
---|
600 | /// Adds a new node to the graph. |
---|
601 | |
---|
602 | /// \warning It adds the new node to the front of the list. |
---|
603 | /// (i.e. the lastly added node becomes the first.) |
---|
604 | Node addNode() { |
---|
605 | return Parent::addNode(); |
---|
606 | } |
---|
607 | |
---|
608 | SymEdge addEdge(Node u, Node v) { |
---|
609 | SymEdge se = Parent::addEdge(u, v); |
---|
610 | edge_maps.add(forward(se)); |
---|
611 | edge_maps.add(backward(se)); |
---|
612 | return se; |
---|
613 | } |
---|
614 | |
---|
615 | /// Finds an edge between two nodes. |
---|
616 | |
---|
617 | /// Finds an edge from node \c u to node \c v. |
---|
618 | /// |
---|
619 | /// If \c prev is \ref INVALID (this is the default value), then |
---|
620 | /// It finds the first edge from \c u to \c v. Otherwise it looks for |
---|
621 | /// the next edge from \c u to \c v after \c prev. |
---|
622 | /// \return The found edge or INVALID if there is no such an edge. |
---|
623 | Edge findEdge(Node u, Node v, Edge prev = INVALID) |
---|
624 | { |
---|
625 | if (prev == INVALID || id(prev) & 1 == 0) { |
---|
626 | SymEdge se = Parent::findEdge(u, v, SymEdge(prev)); |
---|
627 | if (se != INVALID) return forward(se); |
---|
628 | } else { |
---|
629 | SymEdge se = Parent::findEdge(v, u, SymEdge(prev)); |
---|
630 | if (se != INVALID) return backward(se); |
---|
631 | } |
---|
632 | return INVALID; |
---|
633 | } |
---|
634 | |
---|
635 | // /// Finds an symmetric edge between two nodes. |
---|
636 | |
---|
637 | // /// Finds an symmetric edge from node \c u to node \c v. |
---|
638 | // /// |
---|
639 | // /// If \c prev is \ref INVALID (this is the default value), then |
---|
640 | // /// It finds the first edge from \c u to \c v. Otherwise it looks for |
---|
641 | // /// the next edge from \c u to \c v after \c prev. |
---|
642 | // /// \return The found edge or INVALID if there is no such an edge. |
---|
643 | |
---|
644 | // SymEdge findEdge(Node u, Node v, SymEdge prev = INVALID) |
---|
645 | // { |
---|
646 | // if (prev == INVALID || id(prev) & 1 == 0) { |
---|
647 | // SymEdge se = Parent::findEdge(u, v, SymEdge(prev)); |
---|
648 | // if (se != INVALID) return se; |
---|
649 | // } else { |
---|
650 | // SymEdge se = Parent::findEdge(v, u, SymEdge(prev)); |
---|
651 | // if (se != INVALID) return se; |
---|
652 | // } |
---|
653 | // return INVALID; |
---|
654 | // } |
---|
655 | |
---|
656 | public: |
---|
657 | |
---|
658 | void clear() { |
---|
659 | edge_maps.clear(); |
---|
660 | Parent::clear(); |
---|
661 | } |
---|
662 | |
---|
663 | static Edge opposite(Edge e) { |
---|
664 | return Edge(id(e) ^ 1); |
---|
665 | } |
---|
666 | |
---|
667 | static Edge forward(SymEdge e) { |
---|
668 | return Edge(id(e) << 1); |
---|
669 | } |
---|
670 | |
---|
671 | static Edge backward(SymEdge e) { |
---|
672 | return Edge((id(e) << 1) | 1); |
---|
673 | } |
---|
674 | |
---|
675 | }; |
---|
676 | ///Graph for bidirectional edges. |
---|
677 | |
---|
678 | ///The purpose of this graph structure is to handle graphs |
---|
679 | ///having bidirectional edges. Here the function \c addEdge(u,v) adds a pair |
---|
680 | ///of oppositely directed edges. |
---|
681 | ///There is a new edge map type called |
---|
682 | ///\ref SymSmartGraph::SymEdgeMap "SymEdgeMap" |
---|
683 | ///that complements this |
---|
684 | ///feature by |
---|
685 | ///storing shared values for the edge pairs. The usual |
---|
686 | ///\ref Graph::EdgeMap "EdgeMap" |
---|
687 | ///can be used |
---|
688 | ///as well. |
---|
689 | /// |
---|
690 | ///The oppositely directed edge can also be obtained easily |
---|
691 | ///using \ref opposite. |
---|
692 | ///\warning It shares the similarity with \ref SmartGraph that |
---|
693 | ///it is not possible to delete edges or nodes from the graph. |
---|
694 | //\sa SmartGraph. |
---|
695 | |
---|
696 | /* class SymSmartGraph : public SmartGraph |
---|
697 | { |
---|
698 | public: |
---|
699 | typedef SymSmartGraph Graph; |
---|
700 | |
---|
701 | // Create symmetric map registry. |
---|
702 | CREATE_SYM_EDGE_MAP_REGISTRY; |
---|
703 | // Create symmetric edge map. |
---|
704 | CREATE_SYM_EDGE_MAP(ArrayMap); |
---|
705 | |
---|
706 | |
---|
707 | SymSmartGraph() : SmartGraph() { } |
---|
708 | SymSmartGraph(const SmartGraph &_g) : SmartGraph(_g) { } |
---|
709 | ///Adds a pair of oppositely directed edges to the graph. |
---|
710 | Edge addEdge(Node u, Node v) |
---|
711 | { |
---|
712 | Edge e = SmartGraph::addEdge(u,v); |
---|
713 | Edge f = SmartGraph::addEdge(v,u); |
---|
714 | sym_edge_maps.add(e); |
---|
715 | sym_edge_maps.add(f); |
---|
716 | return e; |
---|
717 | } |
---|
718 | |
---|
719 | ///The oppositely directed edge. |
---|
720 | |
---|
721 | ///Returns the oppositely directed |
---|
722 | ///pair of the edge \c e. |
---|
723 | static Edge opposite(Edge e) |
---|
724 | { |
---|
725 | Edge f; |
---|
726 | f.n = e.n - 2*(e.n%2) + 1; |
---|
727 | return f; |
---|
728 | } |
---|
729 | |
---|
730 | |
---|
731 | };*/ |
---|
732 | |
---|
733 | /// @} |
---|
734 | } //namespace lemon |
---|
735 | |
---|
736 | |
---|
737 | |
---|
738 | |
---|
739 | #endif //LEMON_SMART_GRAPH_H |
---|