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3
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... | ... |
@@ -266,67 +266,83 @@ |
266 | 266 |
return node._id; |
267 | 267 |
} |
268 | 268 |
|
269 | 269 |
Node operator()(int ix) const { |
270 | 270 |
return Node(ix); |
271 | 271 |
} |
272 | 272 |
|
273 | 273 |
private: |
274 | 274 |
int _dim; |
275 | 275 |
int _node_num, _edge_num; |
276 | 276 |
}; |
277 | 277 |
|
278 | 278 |
|
279 | 279 |
typedef GraphExtender<HypercubeGraphBase> ExtendedHypercubeGraphBase; |
280 | 280 |
|
281 | 281 |
/// \ingroup graphs |
282 | 282 |
/// |
283 | 283 |
/// \brief Hypercube graph class |
284 | 284 |
/// |
285 | 285 |
/// HypercubeGraph implements a special graph type. The nodes of the |
286 | 286 |
/// graph are indexed with integers having at most \c dim binary digits. |
287 | 287 |
/// Two nodes are connected in the graph if and only if their indices |
288 | 288 |
/// differ only on one position in the binary form. |
289 | 289 |
/// This class is completely static and it needs constant memory space. |
290 |
/// Thus you can neither add nor delete nodes or edges |
|
290 |
/// Thus you can neither add nor delete nodes or edges, however |
|
291 |
/// the structure can be resized using resize(). |
|
291 | 292 |
/// |
292 | 293 |
/// This type fully conforms to the \ref concepts::Graph "Graph concept". |
293 | 294 |
/// Most of its member functions and nested classes are documented |
294 | 295 |
/// only in the concept class. |
295 | 296 |
/// |
296 | 297 |
/// \note The type of the indices is chosen to \c int for efficiency |
297 | 298 |
/// reasons. Thus the maximum dimension of this implementation is 26 |
298 | 299 |
/// (assuming that the size of \c int is 32 bit). |
299 | 300 |
class HypercubeGraph : public ExtendedHypercubeGraphBase { |
300 | 301 |
typedef ExtendedHypercubeGraphBase Parent; |
301 | 302 |
|
302 | 303 |
public: |
303 | 304 |
|
304 | 305 |
/// \brief Constructs a hypercube graph with \c dim dimensions. |
305 | 306 |
/// |
306 | 307 |
/// Constructs a hypercube graph with \c dim dimensions. |
307 | 308 |
HypercubeGraph(int dim) { construct(dim); } |
308 | 309 |
|
310 |
/// \brief Resizes the graph |
|
311 |
/// |
|
312 |
/// This function resizes the graph. It fully destroys and |
|
313 |
/// rebuilds the structure, therefore the maps of the graph will be |
|
314 |
/// reallocated automatically and the previous values will be lost. |
|
315 |
void resize(int dim) { |
|
316 |
Parent::notifier(Arc()).clear(); |
|
317 |
Parent::notifier(Edge()).clear(); |
|
318 |
Parent::notifier(Node()).clear(); |
|
319 |
construct(dim); |
|
320 |
Parent::notifier(Node()).build(); |
|
321 |
Parent::notifier(Edge()).build(); |
|
322 |
Parent::notifier(Arc()).build(); |
|
323 |
} |
|
324 |
|
|
309 | 325 |
/// \brief The number of dimensions. |
310 | 326 |
/// |
311 | 327 |
/// Gives back the number of dimensions. |
312 | 328 |
int dimension() const { |
313 | 329 |
return Parent::dimension(); |
314 | 330 |
} |
315 | 331 |
|
316 | 332 |
/// \brief Returns \c true if the n'th bit of the node is one. |
317 | 333 |
/// |
318 | 334 |
/// Returns \c true if the n'th bit of the node is one. |
319 | 335 |
bool projection(Node node, int n) const { |
320 | 336 |
return Parent::projection(node, n); |
321 | 337 |
} |
322 | 338 |
|
323 | 339 |
/// \brief The dimension id of an edge. |
324 | 340 |
/// |
325 | 341 |
/// Gives back the dimension id of the given edge. |
326 | 342 |
/// It is in the range <tt>[0..dim-1]</tt>. |
327 | 343 |
int dimension(Edge edge) const { |
328 | 344 |
return Parent::dimension(edge); |
329 | 345 |
} |
330 | 346 |
|
331 | 347 |
/// \brief The dimension id of an arc. |
332 | 348 |
/// |
... | ... |
@@ -357,49 +357,54 @@ |
357 | 357 |
n3 = g.addNode(); |
358 | 358 |
|
359 | 359 |
Arc |
360 | 360 |
e1 = g.addArc(n1, n2), |
361 | 361 |
e2 = g.addArc(n2, n3); |
362 | 362 |
|
363 | 363 |
check(g.valid(n1), "Wrong validity check"); |
364 | 364 |
check(g.valid(e1), "Wrong validity check"); |
365 | 365 |
|
366 | 366 |
g.erase(n1); |
367 | 367 |
|
368 | 368 |
check(!g.valid(n1), "Wrong validity check"); |
369 | 369 |
check(g.valid(n2), "Wrong validity check"); |
370 | 370 |
check(g.valid(n3), "Wrong validity check"); |
371 | 371 |
check(!g.valid(e1), "Wrong validity check"); |
372 | 372 |
check(g.valid(e2), "Wrong validity check"); |
373 | 373 |
|
374 | 374 |
check(!g.valid(g.nodeFromId(-1)), "Wrong validity check"); |
375 | 375 |
check(!g.valid(g.arcFromId(-1)), "Wrong validity check"); |
376 | 376 |
} |
377 | 377 |
|
378 | 378 |
void checkFullDigraph(int num) { |
379 | 379 |
typedef FullDigraph Digraph; |
380 | 380 |
DIGRAPH_TYPEDEFS(Digraph); |
381 |
|
|
381 | 382 |
Digraph G(num); |
383 |
check(G.nodeNum() == num && G.arcNum() == num * num, "Wrong size"); |
|
384 |
|
|
385 |
G.resize(num); |
|
386 |
check(G.nodeNum() == num && G.arcNum() == num * num, "Wrong size"); |
|
382 | 387 |
|
383 | 388 |
checkGraphNodeList(G, num); |
384 | 389 |
checkGraphArcList(G, num * num); |
385 | 390 |
|
386 | 391 |
for (NodeIt n(G); n != INVALID; ++n) { |
387 | 392 |
checkGraphOutArcList(G, n, num); |
388 | 393 |
checkGraphInArcList(G, n, num); |
389 | 394 |
} |
390 | 395 |
|
391 | 396 |
checkGraphConArcList(G, num * num); |
392 | 397 |
|
393 | 398 |
checkNodeIds(G); |
394 | 399 |
checkArcIds(G); |
395 | 400 |
checkGraphNodeMap(G); |
396 | 401 |
checkGraphArcMap(G); |
397 | 402 |
|
398 | 403 |
for (int i = 0; i < G.nodeNum(); ++i) { |
399 | 404 |
check(G.index(G(i)) == i, "Wrong index"); |
400 | 405 |
} |
401 | 406 |
|
402 | 407 |
for (NodeIt s(G); s != INVALID; ++s) { |
403 | 408 |
for (NodeIt t(G); t != INVALID; ++t) { |
404 | 409 |
Arc a = G.arc(s, t); |
405 | 410 |
check(G.source(a) == s && G.target(a) == t, "Wrong arc lookup"); |
... | ... |
@@ -249,48 +249,55 @@ |
249 | 249 |
checkNodeIds(G); |
250 | 250 |
checkEdgeIds(G); |
251 | 251 |
checkArcIds(G); |
252 | 252 |
checkGraphNodeMap(G); |
253 | 253 |
checkGraphEdgeMap(G); |
254 | 254 |
checkGraphArcMap(G); |
255 | 255 |
|
256 | 256 |
G.addNode(); |
257 | 257 |
snapshot.save(G); |
258 | 258 |
|
259 | 259 |
G.addEdge(G.addNode(), G.addNode()); |
260 | 260 |
|
261 | 261 |
snapshot.restore(); |
262 | 262 |
|
263 | 263 |
checkGraphNodeList(G, 4); |
264 | 264 |
checkGraphEdgeList(G, 3); |
265 | 265 |
checkGraphArcList(G, 6); |
266 | 266 |
} |
267 | 267 |
|
268 | 268 |
void checkFullGraph(int num) { |
269 | 269 |
typedef FullGraph Graph; |
270 | 270 |
GRAPH_TYPEDEFS(Graph); |
271 | 271 |
|
272 | 272 |
Graph G(num); |
273 |
check(G.nodeNum() == num && G.edgeNum() == num * (num - 1) / 2, |
|
274 |
"Wrong size"); |
|
275 |
|
|
276 |
G.resize(num); |
|
277 |
check(G.nodeNum() == num && G.edgeNum() == num * (num - 1) / 2, |
|
278 |
"Wrong size"); |
|
279 |
|
|
273 | 280 |
checkGraphNodeList(G, num); |
274 | 281 |
checkGraphEdgeList(G, num * (num - 1) / 2); |
275 | 282 |
|
276 | 283 |
for (NodeIt n(G); n != INVALID; ++n) { |
277 | 284 |
checkGraphOutArcList(G, n, num - 1); |
278 | 285 |
checkGraphInArcList(G, n, num - 1); |
279 | 286 |
checkGraphIncEdgeList(G, n, num - 1); |
280 | 287 |
} |
281 | 288 |
|
282 | 289 |
checkGraphConArcList(G, num * (num - 1)); |
283 | 290 |
checkGraphConEdgeList(G, num * (num - 1) / 2); |
284 | 291 |
|
285 | 292 |
checkArcDirections(G); |
286 | 293 |
|
287 | 294 |
checkNodeIds(G); |
288 | 295 |
checkArcIds(G); |
289 | 296 |
checkEdgeIds(G); |
290 | 297 |
checkGraphNodeMap(G); |
291 | 298 |
checkGraphArcMap(G); |
292 | 299 |
checkGraphEdgeMap(G); |
293 | 300 |
|
294 | 301 |
|
295 | 302 |
for (int i = 0; i < G.nodeNum(); ++i) { |
296 | 303 |
check(G.index(G(i)) == i, "Wrong index"); |
... | ... |
@@ -393,48 +400,52 @@ |
393 | 400 |
check(g.valid(e1), "Wrong validity check"); |
394 | 401 |
check(g.valid(g.direct(e1, true)), "Wrong validity check"); |
395 | 402 |
|
396 | 403 |
g.erase(n1); |
397 | 404 |
|
398 | 405 |
check(!g.valid(n1), "Wrong validity check"); |
399 | 406 |
check(g.valid(n2), "Wrong validity check"); |
400 | 407 |
check(g.valid(n3), "Wrong validity check"); |
401 | 408 |
check(!g.valid(e1), "Wrong validity check"); |
402 | 409 |
check(g.valid(e2), "Wrong validity check"); |
403 | 410 |
|
404 | 411 |
check(!g.valid(g.nodeFromId(-1)), "Wrong validity check"); |
405 | 412 |
check(!g.valid(g.edgeFromId(-1)), "Wrong validity check"); |
406 | 413 |
check(!g.valid(g.arcFromId(-1)), "Wrong validity check"); |
407 | 414 |
} |
408 | 415 |
|
409 | 416 |
void checkGridGraph(int width, int height) { |
410 | 417 |
typedef GridGraph Graph; |
411 | 418 |
GRAPH_TYPEDEFS(Graph); |
412 | 419 |
Graph G(width, height); |
413 | 420 |
|
414 | 421 |
check(G.width() == width, "Wrong column number"); |
415 | 422 |
check(G.height() == height, "Wrong row number"); |
416 | 423 |
|
424 |
G.resize(width, height); |
|
425 |
check(G.width() == width, "Wrong column number"); |
|
426 |
check(G.height() == height, "Wrong row number"); |
|
427 |
|
|
417 | 428 |
for (int i = 0; i < width; ++i) { |
418 | 429 |
for (int j = 0; j < height; ++j) { |
419 | 430 |
check(G.col(G(i, j)) == i, "Wrong column"); |
420 | 431 |
check(G.row(G(i, j)) == j, "Wrong row"); |
421 | 432 |
check(G.pos(G(i, j)).x == i, "Wrong column"); |
422 | 433 |
check(G.pos(G(i, j)).y == j, "Wrong row"); |
423 | 434 |
} |
424 | 435 |
} |
425 | 436 |
|
426 | 437 |
for (int j = 0; j < height; ++j) { |
427 | 438 |
for (int i = 0; i < width - 1; ++i) { |
428 | 439 |
check(G.source(G.right(G(i, j))) == G(i, j), "Wrong right"); |
429 | 440 |
check(G.target(G.right(G(i, j))) == G(i + 1, j), "Wrong right"); |
430 | 441 |
} |
431 | 442 |
check(G.right(G(width - 1, j)) == INVALID, "Wrong right"); |
432 | 443 |
} |
433 | 444 |
|
434 | 445 |
for (int j = 0; j < height; ++j) { |
435 | 446 |
for (int i = 1; i < width; ++i) { |
436 | 447 |
check(G.source(G.left(G(i, j))) == G(i, j), "Wrong left"); |
437 | 448 |
check(G.target(G.left(G(i, j))) == G(i - 1, j), "Wrong left"); |
438 | 449 |
} |
439 | 450 |
check(G.left(G(0, j)) == INVALID, "Wrong left"); |
440 | 451 |
} |
... | ... |
@@ -468,48 +479,53 @@ |
468 | 479 |
|
469 | 480 |
checkGraphOutArcList(G, n, nb); |
470 | 481 |
checkGraphInArcList(G, n, nb); |
471 | 482 |
checkGraphIncEdgeList(G, n, nb); |
472 | 483 |
} |
473 | 484 |
|
474 | 485 |
checkArcDirections(G); |
475 | 486 |
|
476 | 487 |
checkGraphConArcList(G, 2 * (width * (height - 1) + (width - 1) * height)); |
477 | 488 |
checkGraphConEdgeList(G, width * (height - 1) + (width - 1) * height); |
478 | 489 |
|
479 | 490 |
checkNodeIds(G); |
480 | 491 |
checkArcIds(G); |
481 | 492 |
checkEdgeIds(G); |
482 | 493 |
checkGraphNodeMap(G); |
483 | 494 |
checkGraphArcMap(G); |
484 | 495 |
checkGraphEdgeMap(G); |
485 | 496 |
|
486 | 497 |
} |
487 | 498 |
|
488 | 499 |
void checkHypercubeGraph(int dim) { |
489 | 500 |
GRAPH_TYPEDEFS(HypercubeGraph); |
490 | 501 |
|
491 | 502 |
HypercubeGraph G(dim); |
503 |
check(G.dimension() == dim, "Wrong dimension"); |
|
504 |
|
|
505 |
G.resize(dim); |
|
506 |
check(G.dimension() == dim, "Wrong dimension"); |
|
507 |
|
|
492 | 508 |
checkGraphNodeList(G, 1 << dim); |
493 | 509 |
checkGraphEdgeList(G, dim * (1 << (dim-1))); |
494 | 510 |
checkGraphArcList(G, dim * (1 << dim)); |
495 | 511 |
|
496 | 512 |
Node n = G.nodeFromId(dim); |
497 | 513 |
|
498 | 514 |
for (NodeIt n(G); n != INVALID; ++n) { |
499 | 515 |
checkGraphIncEdgeList(G, n, dim); |
500 | 516 |
for (IncEdgeIt e(G, n); e != INVALID; ++e) { |
501 | 517 |
check( (G.u(e) == n && |
502 | 518 |
G.id(G.v(e)) == (G.id(n) ^ (1 << G.dimension(e)))) || |
503 | 519 |
(G.v(e) == n && |
504 | 520 |
G.id(G.u(e)) == (G.id(n) ^ (1 << G.dimension(e)))), |
505 | 521 |
"Wrong edge or wrong dimension"); |
506 | 522 |
} |
507 | 523 |
|
508 | 524 |
checkGraphOutArcList(G, n, dim); |
509 | 525 |
for (OutArcIt a(G, n); a != INVALID; ++a) { |
510 | 526 |
check(G.source(a) == n && |
511 | 527 |
G.id(G.target(a)) == (G.id(n) ^ (1 << G.dimension(a))), |
512 | 528 |
"Wrong arc or wrong dimension"); |
513 | 529 |
} |
514 | 530 |
|
515 | 531 |
checkGraphInArcList(G, n, dim); |
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