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3
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... | ... |
@@ -1379,98 +1379,98 @@ |
1379 | 1379 |
void erase(const Arc&) {} |
1380 | 1380 |
|
1381 | 1381 |
template <typename _Digraph> |
1382 | 1382 |
struct Constraints { |
1383 | 1383 |
void constraints() { |
1384 | 1384 |
checkConcept<Base, _Digraph>(); |
1385 | 1385 |
typename _Digraph::Node node; |
1386 | 1386 |
digraph.erase(node); |
1387 | 1387 |
typename _Digraph::Arc arc; |
1388 | 1388 |
digraph.erase(arc); |
1389 | 1389 |
} |
1390 | 1390 |
|
1391 | 1391 |
_Digraph& digraph; |
1392 | 1392 |
}; |
1393 | 1393 |
}; |
1394 | 1394 |
|
1395 | 1395 |
/// \brief An empty erasable base undirected graph class. |
1396 | 1396 |
/// |
1397 | 1397 |
/// This class provides beside the core undirected graph features |
1398 | 1398 |
/// core erase functions for the undirceted graph structure. The |
1399 | 1399 |
/// main difference between the base and this interface is that |
1400 | 1400 |
/// the graph alterations should handled already on this level. |
1401 | 1401 |
template <typename _Base = BaseGraphComponent> |
1402 | 1402 |
class ErasableGraphComponent : public _Base { |
1403 | 1403 |
public: |
1404 | 1404 |
|
1405 | 1405 |
typedef _Base Base; |
1406 | 1406 |
typedef typename Base::Node Node; |
1407 | 1407 |
typedef typename Base::Edge Edge; |
1408 | 1408 |
|
1409 | 1409 |
/// \brief Erase a node from the graph. |
1410 | 1410 |
/// |
1411 | 1411 |
/// Erase a node from the graph. This function should erase |
1412 | 1412 |
/// arcs connecting to the node. |
1413 | 1413 |
void erase(const Node&) {} |
1414 | 1414 |
|
1415 | 1415 |
/// \brief Erase an arc from the graph. |
1416 | 1416 |
/// |
1417 | 1417 |
/// Erase an arc from the graph. |
1418 | 1418 |
/// |
1419 | 1419 |
void erase(const Edge&) {} |
1420 | 1420 |
|
1421 | 1421 |
template <typename _Graph> |
1422 | 1422 |
struct Constraints { |
1423 | 1423 |
void constraints() { |
1424 | 1424 |
checkConcept<Base, _Graph>(); |
1425 | 1425 |
typename _Graph::Node node; |
1426 | 1426 |
graph.erase(node); |
1427 |
typename _Graph::Arc arc; |
|
1428 |
graph.erase(arc); |
|
1427 |
typename _Graph::Edge edge; |
|
1428 |
graph.erase(edge); |
|
1429 | 1429 |
} |
1430 | 1430 |
|
1431 | 1431 |
_Graph& graph; |
1432 | 1432 |
}; |
1433 | 1433 |
}; |
1434 | 1434 |
|
1435 | 1435 |
/// \brief An empty clearable base digraph class. |
1436 | 1436 |
/// |
1437 | 1437 |
/// This class provides beside the core digraph features core clear |
1438 | 1438 |
/// functions for the digraph structure. The main difference between |
1439 | 1439 |
/// the base and this interface is that the digraph alterations |
1440 | 1440 |
/// should handled already on this level. |
1441 | 1441 |
template <typename _Base = BaseDigraphComponent> |
1442 | 1442 |
class ClearableDigraphComponent : public _Base { |
1443 | 1443 |
public: |
1444 | 1444 |
|
1445 | 1445 |
typedef _Base Base; |
1446 | 1446 |
|
1447 | 1447 |
/// \brief Erase all nodes and arcs from the digraph. |
1448 | 1448 |
/// |
1449 | 1449 |
/// Erase all nodes and arcs from the digraph. |
1450 | 1450 |
/// |
1451 | 1451 |
void clear() {} |
1452 | 1452 |
|
1453 | 1453 |
template <typename _Digraph> |
1454 | 1454 |
struct Constraints { |
1455 | 1455 |
void constraints() { |
1456 | 1456 |
checkConcept<Base, _Digraph>(); |
1457 | 1457 |
digraph.clear(); |
1458 | 1458 |
} |
1459 | 1459 |
|
1460 | 1460 |
_Digraph digraph; |
1461 | 1461 |
}; |
1462 | 1462 |
}; |
1463 | 1463 |
|
1464 | 1464 |
/// \brief An empty clearable base undirected graph class. |
1465 | 1465 |
/// |
1466 | 1466 |
/// This class provides beside the core undirected graph features |
1467 | 1467 |
/// core clear functions for the undirected graph structure. The |
1468 | 1468 |
/// main difference between the base and this interface is that |
1469 | 1469 |
/// the graph alterations should handled already on this level. |
1470 | 1470 |
template <typename _Base = BaseGraphComponent> |
1471 | 1471 |
class ClearableGraphComponent : public ClearableDigraphComponent<_Base> { |
1472 | 1472 |
public: |
1473 | 1473 |
|
1474 | 1474 |
typedef _Base Base; |
1475 | 1475 |
|
1476 | 1476 |
template <typename _Graph> |
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_DIJKSTRA_H |
20 | 20 |
#define LEMON_DIJKSTRA_H |
21 | 21 |
|
22 | 22 |
///\ingroup shortest_path |
23 | 23 |
///\file |
24 | 24 |
///\brief Dijkstra algorithm. |
25 |
/// |
|
26 | 25 |
|
27 |
#include <lemon/ |
|
26 |
#include <lemon/list_graph.h> |
|
28 | 27 |
#include <lemon/bin_heap.h> |
29 | 28 |
#include <lemon/bits/path_dump.h> |
30 | 29 |
#include <lemon/bits/invalid.h> |
31 | 30 |
#include <lemon/error.h> |
32 | 31 |
#include <lemon/maps.h> |
33 | 32 |
|
34 |
|
|
35 | 33 |
namespace lemon { |
36 | 34 |
|
37 | 35 |
/// \brief Default OperationTraits for the Dijkstra algorithm class. |
38 | 36 |
/// |
39 | 37 |
/// It defines all computational operations and constants which are |
40 | 38 |
/// used in the Dijkstra algorithm. |
41 | 39 |
template <typename Value> |
42 | 40 |
struct DijkstraDefaultOperationTraits { |
43 | 41 |
/// \brief Gives back the zero value of the type. |
44 | 42 |
static Value zero() { |
45 | 43 |
return static_cast<Value>(0); |
46 | 44 |
} |
47 | 45 |
/// \brief Gives back the sum of the given two elements. |
48 | 46 |
static Value plus(const Value& left, const Value& right) { |
49 | 47 |
return left + right; |
50 | 48 |
} |
51 | 49 |
/// \brief Gives back true only if the first value less than the second. |
52 | 50 |
static bool less(const Value& left, const Value& right) { |
53 | 51 |
return left < right; |
54 | 52 |
} |
55 | 53 |
}; |
56 | 54 |
|
57 | 55 |
/// \brief Widest path OperationTraits for the Dijkstra algorithm class. |
58 | 56 |
/// |
59 | 57 |
/// It defines all computational operations and constants which are |
60 | 58 |
/// used in the Dijkstra algorithm for widest path computation. |
61 | 59 |
template <typename Value> |
62 | 60 |
struct DijkstraWidestPathOperationTraits { |
63 | 61 |
/// \brief Gives back the maximum value of the type. |
64 | 62 |
static Value zero() { |
65 | 63 |
return std::numeric_limits<Value>::max(); |
66 | 64 |
} |
67 | 65 |
/// \brief Gives back the minimum of the given two elements. |
68 | 66 |
static Value plus(const Value& left, const Value& right) { |
69 | 67 |
return std::min(left, right); |
70 | 68 |
} |
71 | 69 |
/// \brief Gives back true only if the first value less than the second. |
72 | 70 |
static bool less(const Value& left, const Value& right) { |
73 | 71 |
return left < right; |
74 | 72 |
} |
75 | 73 |
}; |
76 | 74 |
|
77 | 75 |
///Default traits class of Dijkstra class. |
78 | 76 |
|
79 | 77 |
///Default traits class of Dijkstra class. |
80 | 78 |
///\tparam GR Digraph type. |
81 | 79 |
///\tparam LM Type of length map. |
82 | 80 |
template<class GR, class LM> |
... | ... |
@@ -357,200 +357,200 @@ |
357 | 357 |
template <typename _Graph> |
358 | 358 |
class ConArcIt : public _Graph::Arc { |
359 | 359 |
public: |
360 | 360 |
|
361 | 361 |
typedef _Graph Graph; |
362 | 362 |
typedef typename Graph::Arc Parent; |
363 | 363 |
|
364 | 364 |
typedef typename Graph::Arc Arc; |
365 | 365 |
typedef typename Graph::Node Node; |
366 | 366 |
|
367 | 367 |
/// \brief Constructor. |
368 | 368 |
/// |
369 | 369 |
/// Construct a new ConArcIt iterating on the arcs which |
370 | 370 |
/// connects the \c u and \c v node. |
371 | 371 |
ConArcIt(const Graph& g, Node u, Node v) : _graph(g) { |
372 | 372 |
Parent::operator=(findArc(_graph, u, v)); |
373 | 373 |
} |
374 | 374 |
|
375 | 375 |
/// \brief Constructor. |
376 | 376 |
/// |
377 | 377 |
/// Construct a new ConArcIt which continues the iterating from |
378 | 378 |
/// the \c e arc. |
379 | 379 |
ConArcIt(const Graph& g, Arc a) : Parent(a), _graph(g) {} |
380 | 380 |
|
381 | 381 |
/// \brief Increment operator. |
382 | 382 |
/// |
383 | 383 |
/// It increments the iterator and gives back the next arc. |
384 | 384 |
ConArcIt& operator++() { |
385 | 385 |
Parent::operator=(findArc(_graph, _graph.source(*this), |
386 | 386 |
_graph.target(*this), *this)); |
387 | 387 |
return *this; |
388 | 388 |
} |
389 | 389 |
private: |
390 | 390 |
const Graph& _graph; |
391 | 391 |
}; |
392 | 392 |
|
393 | 393 |
namespace _graph_utils_bits { |
394 | 394 |
|
395 | 395 |
template <typename Graph, typename Enable = void> |
396 | 396 |
struct FindEdgeSelector { |
397 | 397 |
typedef typename Graph::Node Node; |
398 | 398 |
typedef typename Graph::Edge Edge; |
399 | 399 |
static Edge find(const Graph &g, Node u, Node v, Edge e) { |
400 | 400 |
bool b; |
401 | 401 |
if (u != v) { |
402 | 402 |
if (e == INVALID) { |
403 | 403 |
g.firstInc(e, b, u); |
404 | 404 |
} else { |
405 |
b = g. |
|
405 |
b = g.u(e) == u; |
|
406 | 406 |
g.nextInc(e, b); |
407 | 407 |
} |
408 |
while (e != INVALID && (b ? g. |
|
408 |
while (e != INVALID && (b ? g.v(e) : g.u(e)) != v) { |
|
409 | 409 |
g.nextInc(e, b); |
410 | 410 |
} |
411 | 411 |
} else { |
412 | 412 |
if (e == INVALID) { |
413 | 413 |
g.firstInc(e, b, u); |
414 | 414 |
} else { |
415 | 415 |
b = true; |
416 | 416 |
g.nextInc(e, b); |
417 | 417 |
} |
418 |
while (e != INVALID && (!b || g. |
|
418 |
while (e != INVALID && (!b || g.v(e) != v)) { |
|
419 | 419 |
g.nextInc(e, b); |
420 | 420 |
} |
421 | 421 |
} |
422 | 422 |
return e; |
423 | 423 |
} |
424 | 424 |
}; |
425 | 425 |
|
426 | 426 |
template <typename Graph> |
427 | 427 |
struct FindEdgeSelector< |
428 | 428 |
Graph, |
429 | 429 |
typename enable_if<typename Graph::FindEdgeTag, void>::type> |
430 | 430 |
{ |
431 | 431 |
typedef typename Graph::Node Node; |
432 | 432 |
typedef typename Graph::Edge Edge; |
433 | 433 |
static Edge find(const Graph &g, Node u, Node v, Edge prev) { |
434 | 434 |
return g.findEdge(u, v, prev); |
435 | 435 |
} |
436 | 436 |
}; |
437 | 437 |
} |
438 | 438 |
|
439 | 439 |
/// \brief Finds an edge between two nodes of a graph. |
440 | 440 |
/// |
441 | 441 |
/// Finds an edge from node \c u to node \c v in graph \c g. |
442 | 442 |
/// If the node \c u and node \c v is equal then each loop edge |
443 | 443 |
/// will be enumerated once. |
444 | 444 |
/// |
445 | 445 |
/// If \c prev is \ref INVALID (this is the default value), then |
446 | 446 |
/// it finds the first arc from \c u to \c v. Otherwise it looks for |
447 | 447 |
/// the next arc from \c u to \c v after \c prev. |
448 | 448 |
/// \return The found arc or \ref INVALID if there is no such an arc. |
449 | 449 |
/// |
450 | 450 |
/// Thus you can iterate through each arc from \c u to \c v as it follows. |
451 | 451 |
///\code |
452 | 452 |
/// for(Edge e = findEdge(g,u,v); e != INVALID; |
453 | 453 |
/// e = findEdge(g,u,v,e)) { |
454 | 454 |
/// ... |
455 | 455 |
/// } |
456 | 456 |
///\endcode |
457 | 457 |
/// |
458 |
///\sa |
|
458 |
///\sa ConEdgeIt |
|
459 | 459 |
|
460 | 460 |
template <typename Graph> |
461 | 461 |
inline typename Graph::Edge |
462 | 462 |
findEdge(const Graph &g, typename Graph::Node u, typename Graph::Node v, |
463 | 463 |
typename Graph::Edge p = INVALID) { |
464 | 464 |
return _graph_utils_bits::FindEdgeSelector<Graph>::find(g, u, v, p); |
465 | 465 |
} |
466 | 466 |
|
467 | 467 |
/// \brief Iterator for iterating on edges connected the same nodes. |
468 | 468 |
/// |
469 | 469 |
/// Iterator for iterating on edges connected the same nodes. It is |
470 | 470 |
/// higher level interface for the findEdge() function. You can |
471 | 471 |
/// use it the following way: |
472 | 472 |
///\code |
473 | 473 |
/// for (ConEdgeIt<Graph> it(g, src, trg); it != INVALID; ++it) { |
474 | 474 |
/// ... |
475 | 475 |
/// } |
476 | 476 |
///\endcode |
477 | 477 |
/// |
478 | 478 |
///\sa findEdge() |
479 | 479 |
template <typename _Graph> |
480 | 480 |
class ConEdgeIt : public _Graph::Edge { |
481 | 481 |
public: |
482 | 482 |
|
483 | 483 |
typedef _Graph Graph; |
484 | 484 |
typedef typename Graph::Edge Parent; |
485 | 485 |
|
486 | 486 |
typedef typename Graph::Edge Edge; |
487 | 487 |
typedef typename Graph::Node Node; |
488 | 488 |
|
489 | 489 |
/// \brief Constructor. |
490 | 490 |
/// |
491 | 491 |
/// Construct a new ConEdgeIt iterating on the edges which |
492 | 492 |
/// connects the \c u and \c v node. |
493 | 493 |
ConEdgeIt(const Graph& g, Node u, Node v) : _graph(g) { |
494 | 494 |
Parent::operator=(findEdge(_graph, u, v)); |
495 | 495 |
} |
496 | 496 |
|
497 | 497 |
/// \brief Constructor. |
498 | 498 |
/// |
499 | 499 |
/// Construct a new ConEdgeIt which continues the iterating from |
500 | 500 |
/// the \c e edge. |
501 | 501 |
ConEdgeIt(const Graph& g, Edge e) : Parent(e), _graph(g) {} |
502 | 502 |
|
503 | 503 |
/// \brief Increment operator. |
504 | 504 |
/// |
505 | 505 |
/// It increments the iterator and gives back the next edge. |
506 | 506 |
ConEdgeIt& operator++() { |
507 |
Parent::operator=(findEdge(_graph, _graph.source(*this), |
|
508 |
_graph.target(*this), *this)); |
|
507 |
Parent::operator=(findEdge(_graph, _graph.u(*this), |
|
508 |
_graph.v(*this), *this)); |
|
509 | 509 |
return *this; |
510 | 510 |
} |
511 | 511 |
private: |
512 | 512 |
const Graph& _graph; |
513 | 513 |
}; |
514 | 514 |
|
515 | 515 |
namespace _graph_utils_bits { |
516 | 516 |
|
517 | 517 |
template <typename Digraph, typename Item, typename RefMap> |
518 | 518 |
class MapCopyBase { |
519 | 519 |
public: |
520 | 520 |
virtual void copy(const Digraph& from, const RefMap& refMap) = 0; |
521 | 521 |
|
522 | 522 |
virtual ~MapCopyBase() {} |
523 | 523 |
}; |
524 | 524 |
|
525 | 525 |
template <typename Digraph, typename Item, typename RefMap, |
526 | 526 |
typename ToMap, typename FromMap> |
527 | 527 |
class MapCopy : public MapCopyBase<Digraph, Item, RefMap> { |
528 | 528 |
public: |
529 | 529 |
|
530 | 530 |
MapCopy(ToMap& tmap, const FromMap& map) |
531 | 531 |
: _tmap(tmap), _map(map) {} |
532 | 532 |
|
533 | 533 |
virtual void copy(const Digraph& digraph, const RefMap& refMap) { |
534 | 534 |
typedef typename ItemSetTraits<Digraph, Item>::ItemIt ItemIt; |
535 | 535 |
for (ItemIt it(digraph); it != INVALID; ++it) { |
536 | 536 |
_tmap.set(refMap[it], _map[it]); |
537 | 537 |
} |
538 | 538 |
} |
539 | 539 |
|
540 | 540 |
private: |
541 | 541 |
ToMap& _tmap; |
542 | 542 |
const FromMap& _map; |
543 | 543 |
}; |
544 | 544 |
|
545 | 545 |
template <typename Digraph, typename Item, typename RefMap, typename It> |
546 | 546 |
class ItemCopy : public MapCopyBase<Digraph, Item, RefMap> { |
547 | 547 |
public: |
548 | 548 |
|
549 | 549 |
ItemCopy(It& it, const Item& item) : _it(it), _item(item) {} |
550 | 550 |
|
551 | 551 |
virtual void copy(const Digraph&, const RefMap& refMap) { |
552 | 552 |
_it = refMap[_item]; |
553 | 553 |
} |
554 | 554 |
|
555 | 555 |
private: |
556 | 556 |
It& _it; |
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