... | ... |
@@ -359,39 +359,38 @@ |
359 | 359 |
} |
360 | 360 |
|
361 | 361 |
// Find next entering arc |
362 | 362 |
bool findEnteringArc() { |
363 | 363 |
Cost c, min = 0; |
364 | 364 |
int cnt = _block_size; |
365 |
int e |
|
365 |
int e; |
|
366 | 366 |
for (e = _next_arc; e < _search_arc_num; ++e) { |
367 | 367 |
c = _state[e] * (_cost[e] + _pi[_source[e]] - _pi[_target[e]]); |
368 | 368 |
if (c < min) { |
369 | 369 |
min = c; |
370 |
|
|
370 |
_in_arc = e; |
|
371 | 371 |
} |
372 | 372 |
if (--cnt == 0) { |
373 |
if (min < 0) |
|
373 |
if (min < 0) goto search_end; |
|
374 | 374 |
cnt = _block_size; |
375 | 375 |
} |
376 | 376 |
} |
377 |
if (min == 0 || cnt > 0) { |
|
378 |
for (e = 0; e < _next_arc; ++e) { |
|
379 |
c = _state[e] * (_cost[e] + _pi[_source[e]] - _pi[_target[e]]); |
|
380 |
if (c < min) { |
|
381 |
min = c; |
|
382 |
min_arc = e; |
|
383 |
} |
|
384 |
if (--cnt == 0) { |
|
385 |
if (min < 0) break; |
|
386 |
cnt = _block_size; |
|
387 |
|
|
377 |
for (e = 0; e < _next_arc; ++e) { |
|
378 |
c = _state[e] * (_cost[e] + _pi[_source[e]] - _pi[_target[e]]); |
|
379 |
if (c < min) { |
|
380 |
min = c; |
|
381 |
_in_arc = e; |
|
382 |
} |
|
383 |
if (--cnt == 0) { |
|
384 |
if (min < 0) goto search_end; |
|
385 |
cnt = _block_size; |
|
388 | 386 |
} |
389 | 387 |
} |
390 | 388 |
if (min >= 0) return false; |
391 |
|
|
389 |
|
|
390 |
search_end: |
|
392 | 391 |
_next_arc = e; |
393 | 392 |
return true; |
394 | 393 |
} |
395 | 394 |
|
396 | 395 |
}; //class BlockSearchPivotRule |
397 | 396 |
|
... | ... |
@@ -423,13 +422,13 @@ |
423 | 422 |
_source(ns._source), _target(ns._target), |
424 | 423 |
_cost(ns._cost), _state(ns._state), _pi(ns._pi), |
425 | 424 |
_in_arc(ns.in_arc), _search_arc_num(ns._search_arc_num), |
426 | 425 |
_next_arc(0) |
427 | 426 |
{ |
428 | 427 |
// The main parameters of the pivot rule |
429 |
const double LIST_LENGTH_FACTOR = |
|
428 |
const double LIST_LENGTH_FACTOR = 0.25; |
|
430 | 429 |
const int MIN_LIST_LENGTH = 10; |
431 | 430 |
const double MINOR_LIMIT_FACTOR = 0.1; |
432 | 431 |
const int MIN_MINOR_LIMIT = 3; |
433 | 432 |
|
434 | 433 |
_list_length = std::max( int(LIST_LENGTH_FACTOR * |
435 | 434 |
std::sqrt(double(_search_arc_num))), |
... | ... |
@@ -440,65 +439,61 @@ |
440 | 439 |
_candidates.resize(_list_length); |
441 | 440 |
} |
442 | 441 |
|
443 | 442 |
/// Find next entering arc |
444 | 443 |
bool findEnteringArc() { |
445 | 444 |
Cost min, c; |
446 |
int e |
|
445 |
int e; |
|
447 | 446 |
if (_curr_length > 0 && _minor_count < _minor_limit) { |
448 | 447 |
// Minor iteration: select the best eligible arc from the |
449 | 448 |
// current candidate list |
450 | 449 |
++_minor_count; |
451 | 450 |
min = 0; |
452 | 451 |
for (int i = 0; i < _curr_length; ++i) { |
453 | 452 |
e = _candidates[i]; |
454 | 453 |
c = _state[e] * (_cost[e] + _pi[_source[e]] - _pi[_target[e]]); |
455 | 454 |
if (c < min) { |
456 | 455 |
min = c; |
457 |
|
|
456 |
_in_arc = e; |
|
458 | 457 |
} |
459 |
if (c >= 0) { |
|
458 |
else if (c >= 0) { |
|
460 | 459 |
_candidates[i--] = _candidates[--_curr_length]; |
461 | 460 |
} |
462 | 461 |
} |
463 |
if (min < 0) { |
|
464 |
_in_arc = min_arc; |
|
465 |
return true; |
|
466 |
} |
|
462 |
if (min < 0) return true; |
|
467 | 463 |
} |
468 | 464 |
|
469 | 465 |
// Major iteration: build a new candidate list |
470 | 466 |
min = 0; |
471 | 467 |
_curr_length = 0; |
472 | 468 |
for (e = _next_arc; e < _search_arc_num; ++e) { |
473 | 469 |
c = _state[e] * (_cost[e] + _pi[_source[e]] - _pi[_target[e]]); |
474 | 470 |
if (c < 0) { |
475 | 471 |
_candidates[_curr_length++] = e; |
476 | 472 |
if (c < min) { |
477 | 473 |
min = c; |
478 |
|
|
474 |
_in_arc = e; |
|
479 | 475 |
} |
480 |
if (_curr_length == _list_length) |
|
476 |
if (_curr_length == _list_length) goto search_end; |
|
481 | 477 |
} |
482 | 478 |
} |
483 |
if (_curr_length < _list_length) { |
|
484 |
for (e = 0; e < _next_arc; ++e) { |
|
485 |
c = _state[e] * (_cost[e] + _pi[_source[e]] - _pi[_target[e]]); |
|
486 |
if (c < 0) { |
|
487 |
_candidates[_curr_length++] = e; |
|
488 |
if (c < min) { |
|
489 |
min = c; |
|
490 |
min_arc = e; |
|
491 |
} |
|
492 |
if (_curr_length == _list_length) break; |
|
479 |
for (e = 0; e < _next_arc; ++e) { |
|
480 |
c = _state[e] * (_cost[e] + _pi[_source[e]] - _pi[_target[e]]); |
|
481 |
if (c < 0) { |
|
482 |
_candidates[_curr_length++] = e; |
|
483 |
if (c < min) { |
|
484 |
min = c; |
|
485 |
_in_arc = e; |
|
493 | 486 |
} |
487 |
if (_curr_length == _list_length) goto search_end; |
|
494 | 488 |
} |
495 | 489 |
} |
496 | 490 |
if (_curr_length == 0) return false; |
491 |
|
|
492 |
search_end: |
|
497 | 493 |
_minor_count = 1; |
498 |
_in_arc = min_arc; |
|
499 | 494 |
_next_arc = e; |
500 | 495 |
return true; |
501 | 496 |
} |
502 | 497 |
|
503 | 498 |
}; //class CandidateListPivotRule |
504 | 499 |
|
... | ... |
@@ -544,13 +539,13 @@ |
544 | 539 |
_source(ns._source), _target(ns._target), |
545 | 540 |
_cost(ns._cost), _state(ns._state), _pi(ns._pi), |
546 | 541 |
_in_arc(ns.in_arc), _search_arc_num(ns._search_arc_num), |
547 | 542 |
_next_arc(0), _cand_cost(ns._search_arc_num), _sort_func(_cand_cost) |
548 | 543 |
{ |
549 | 544 |
// The main parameters of the pivot rule |
550 |
const double BLOCK_SIZE_FACTOR = 1. |
|
545 |
const double BLOCK_SIZE_FACTOR = 1.0; |
|
551 | 546 |
const int MIN_BLOCK_SIZE = 10; |
552 | 547 |
const double HEAD_LENGTH_FACTOR = 0.1; |
553 | 548 |
const int MIN_HEAD_LENGTH = 3; |
554 | 549 |
|
555 | 550 |
_block_size = std::max( int(BLOCK_SIZE_FACTOR * |
556 | 551 |
std::sqrt(double(_search_arc_num))), |
... | ... |
@@ -573,52 +568,49 @@ |
573 | 568 |
_candidates[i--] = _candidates[--_curr_length]; |
574 | 569 |
} |
575 | 570 |
} |
576 | 571 |
|
577 | 572 |
// Extend the list |
578 | 573 |
int cnt = _block_size; |
579 |
int last_arc = 0; |
|
580 | 574 |
int limit = _head_length; |
581 | 575 |
|
582 |
for ( |
|
576 |
for (e = _next_arc; e < _search_arc_num; ++e) { |
|
583 | 577 |
_cand_cost[e] = _state[e] * |
584 | 578 |
(_cost[e] + _pi[_source[e]] - _pi[_target[e]]); |
585 | 579 |
if (_cand_cost[e] < 0) { |
586 | 580 |
_candidates[_curr_length++] = e; |
587 |
last_arc = e; |
|
588 | 581 |
} |
589 | 582 |
if (--cnt == 0) { |
590 |
if (_curr_length > limit) |
|
583 |
if (_curr_length > limit) goto search_end; |
|
591 | 584 |
limit = 0; |
592 | 585 |
cnt = _block_size; |
593 | 586 |
} |
594 | 587 |
} |
595 |
if (_curr_length <= limit) { |
|
596 |
for (int e = 0; e < _next_arc; ++e) { |
|
597 |
_cand_cost[e] = _state[e] * |
|
598 |
(_cost[e] + _pi[_source[e]] - _pi[_target[e]]); |
|
599 |
if (_cand_cost[e] < 0) { |
|
600 |
_candidates[_curr_length++] = e; |
|
601 |
last_arc = e; |
|
602 |
} |
|
603 |
if (--cnt == 0) { |
|
604 |
if (_curr_length > limit) break; |
|
605 |
limit = 0; |
|
606 |
cnt = _block_size; |
|
607 |
|
|
588 |
for (e = 0; e < _next_arc; ++e) { |
|
589 |
_cand_cost[e] = _state[e] * |
|
590 |
(_cost[e] + _pi[_source[e]] - _pi[_target[e]]); |
|
591 |
if (_cand_cost[e] < 0) { |
|
592 |
_candidates[_curr_length++] = e; |
|
593 |
} |
|
594 |
if (--cnt == 0) { |
|
595 |
if (_curr_length > limit) goto search_end; |
|
596 |
limit = 0; |
|
597 |
cnt = _block_size; |
|
608 | 598 |
} |
609 | 599 |
} |
610 | 600 |
if (_curr_length == 0) return false; |
611 |
|
|
601 |
|
|
602 |
search_end: |
|
612 | 603 |
|
613 | 604 |
// Make heap of the candidate list (approximating a partial sort) |
614 | 605 |
make_heap( _candidates.begin(), _candidates.begin() + _curr_length, |
615 | 606 |
_sort_func ); |
616 | 607 |
|
617 | 608 |
// Pop the first element of the heap |
618 | 609 |
_in_arc = _candidates[0]; |
610 |
_next_arc = e; |
|
619 | 611 |
pop_heap( _candidates.begin(), _candidates.begin() + _curr_length, |
620 | 612 |
_sort_func ); |
621 | 613 |
_curr_length = std::min(_head_length, _curr_length - 1); |
622 | 614 |
return true; |
623 | 615 |
} |
624 | 616 |
|
... | ... |
@@ -628,13 +620,17 @@ |
628 | 620 |
|
629 | 621 |
/// \brief Constructor. |
630 | 622 |
/// |
631 | 623 |
/// The constructor of the class. |
632 | 624 |
/// |
633 | 625 |
/// \param graph The digraph the algorithm runs on. |
634 |
|
|
626 |
/// \param arc_mixing Indicate if the arcs have to be stored in a |
|
627 |
/// mixed order in the internal data structure. |
|
628 |
/// In special cases, it could lead to better overall performance, |
|
629 |
/// but it is usually slower. Therefore it is disabled by default. |
|
630 |
NetworkSimplex(const GR& graph, bool arc_mixing = false) : |
|
635 | 631 |
_graph(graph), _node_id(graph), _arc_id(graph), |
636 | 632 |
INF(std::numeric_limits<Value>::has_infinity ? |
637 | 633 |
std::numeric_limits<Value>::infinity() : |
638 | 634 |
std::numeric_limits<Value>::max()) |
639 | 635 |
{ |
640 | 636 |
// Check the value types |
... | ... |
@@ -666,24 +662,35 @@ |
666 | 662 |
_thread.resize(all_node_num); |
667 | 663 |
_rev_thread.resize(all_node_num); |
668 | 664 |
_succ_num.resize(all_node_num); |
669 | 665 |
_last_succ.resize(all_node_num); |
670 | 666 |
_state.resize(max_arc_num); |
671 | 667 |
|
672 |
// Copy the graph |
|
668 |
// Copy the graph |
|
673 | 669 |
int i = 0; |
674 | 670 |
for (NodeIt n(_graph); n != INVALID; ++n, ++i) { |
675 | 671 |
_node_id[n] = i; |
676 | 672 |
} |
677 |
int k = std::max(int(std::sqrt(double(_arc_num))), 10); |
|
678 |
i = 0; |
|
679 |
for (ArcIt a(_graph); a != INVALID; ++a) { |
|
680 |
_arc_id[a] = i; |
|
681 |
_source[i] = _node_id[_graph.source(a)]; |
|
682 |
_target[i] = _node_id[_graph.target(a)]; |
|
683 |
|
|
673 |
if (arc_mixing) { |
|
674 |
// Store the arcs in a mixed order |
|
675 |
int k = std::max(int(std::sqrt(double(_arc_num))), 10); |
|
676 |
int i = 0, j = 0; |
|
677 |
for (ArcIt a(_graph); a != INVALID; ++a) { |
|
678 |
_arc_id[a] = i; |
|
679 |
_source[i] = _node_id[_graph.source(a)]; |
|
680 |
_target[i] = _node_id[_graph.target(a)]; |
|
681 |
if ((i += k) >= _arc_num) i = ++j; |
|
682 |
} |
|
683 |
} else { |
|
684 |
// Store the arcs in the original order |
|
685 |
int i = 0; |
|
686 |
for (ArcIt a(_graph); a != INVALID; ++a, ++i) { |
|
687 |
_arc_id[a] = i; |
|
688 |
_source[i] = _node_id[_graph.source(a)]; |
|
689 |
_target[i] = _node_id[_graph.target(a)]; |
|
690 |
} |
|
684 | 691 |
} |
685 | 692 |
|
686 | 693 |
// Reset parameters |
687 | 694 |
reset(); |
688 | 695 |
} |
689 | 696 |
|
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