0
4
0
| ... | ... |
@@ -429,61 +429,63 @@ |
| 429 | 429 |
/// If you don't use this function before calling \ref run() or |
| 430 | 430 |
/// \ref init(), an instance will be allocated automatically. |
| 431 | 431 |
/// The destructor deallocates this automatically allocated elevator, |
| 432 | 432 |
/// of course. |
| 433 | 433 |
/// \return <tt>(*this)</tt> |
| 434 | 434 |
Circulation& elevator(Elevator& elevator) {
|
| 435 | 435 |
if (_local_level) {
|
| 436 | 436 |
delete _level; |
| 437 | 437 |
_local_level = false; |
| 438 | 438 |
} |
| 439 | 439 |
_level = &elevator; |
| 440 | 440 |
return *this; |
| 441 | 441 |
} |
| 442 | 442 |
|
| 443 | 443 |
/// \brief Returns a const reference to the elevator. |
| 444 | 444 |
/// |
| 445 | 445 |
/// Returns a const reference to the elevator. |
| 446 | 446 |
/// |
| 447 | 447 |
/// \pre Either \ref run() or \ref init() must be called before |
| 448 | 448 |
/// using this function. |
| 449 | 449 |
const Elevator& elevator() const {
|
| 450 | 450 |
return *_level; |
| 451 | 451 |
} |
| 452 | 452 |
|
| 453 |
/// \brief Sets the tolerance used by algorithm. |
|
| 453 |
/// \brief Sets the tolerance used by the algorithm. |
|
| 454 | 454 |
/// |
| 455 |
/// Sets the tolerance used by algorithm. |
|
| 456 |
Circulation& tolerance(const Tolerance& tolerance) const {
|
|
| 455 |
/// Sets the tolerance object used by the algorithm. |
|
| 456 |
/// \return <tt>(*this)</tt> |
|
| 457 |
Circulation& tolerance(const Tolerance& tolerance) {
|
|
| 457 | 458 |
_tol = tolerance; |
| 458 | 459 |
return *this; |
| 459 | 460 |
} |
| 460 | 461 |
|
| 461 | 462 |
/// \brief Returns a const reference to the tolerance. |
| 462 | 463 |
/// |
| 463 |
/// Returns a const reference to the tolerance |
|
| 464 |
/// Returns a const reference to the tolerance object used by |
|
| 465 |
/// the algorithm. |
|
| 464 | 466 |
const Tolerance& tolerance() const {
|
| 465 |
return |
|
| 467 |
return _tol; |
|
| 466 | 468 |
} |
| 467 | 469 |
|
| 468 | 470 |
/// \name Execution Control |
| 469 | 471 |
/// The simplest way to execute the algorithm is to call \ref run().\n |
| 470 | 472 |
/// If you need more control on the initial solution or the execution, |
| 471 | 473 |
/// first you have to call one of the \ref init() functions, then |
| 472 | 474 |
/// the \ref start() function. |
| 473 | 475 |
|
| 474 | 476 |
///@{
|
| 475 | 477 |
|
| 476 | 478 |
/// Initializes the internal data structures. |
| 477 | 479 |
|
| 478 | 480 |
/// Initializes the internal data structures and sets all flow values |
| 479 | 481 |
/// to the lower bound. |
| 480 | 482 |
void init() |
| 481 | 483 |
{
|
| 482 | 484 |
LEMON_DEBUG(checkBoundMaps(), |
| 483 | 485 |
"Upper bounds must be greater or equal to the lower bounds"); |
| 484 | 486 |
|
| 485 | 487 |
createStructures(); |
| 486 | 488 |
|
| 487 | 489 |
for(NodeIt n(_g);n!=INVALID;++n) {
|
| 488 | 490 |
(*_excess)[n] = (*_supply)[n]; |
| 489 | 491 |
} |
| ... | ... |
@@ -76,49 +76,49 @@ |
| 76 | 76 |
/// This function instantiates an \ref Elevator. |
| 77 | 77 |
/// \param digraph The digraph for which we would like to define |
| 78 | 78 |
/// the elevator. |
| 79 | 79 |
/// \param max_level The maximum level of the elevator. |
| 80 | 80 |
static Elevator* createElevator(const Digraph& digraph, int max_level) {
|
| 81 | 81 |
return new Elevator(digraph, max_level); |
| 82 | 82 |
} |
| 83 | 83 |
|
| 84 | 84 |
/// \brief The tolerance used by the algorithm |
| 85 | 85 |
/// |
| 86 | 86 |
/// The tolerance used by the algorithm to handle inexact computation. |
| 87 | 87 |
typedef lemon::Tolerance<Value> Tolerance; |
| 88 | 88 |
|
| 89 | 89 |
}; |
| 90 | 90 |
|
| 91 | 91 |
|
| 92 | 92 |
/// \ingroup max_flow |
| 93 | 93 |
/// |
| 94 | 94 |
/// \brief %Preflow algorithm class. |
| 95 | 95 |
/// |
| 96 | 96 |
/// This class provides an implementation of Goldberg-Tarjan's \e preflow |
| 97 | 97 |
/// \e push-relabel algorithm producing a \ref max_flow |
| 98 | 98 |
/// "flow of maximum value" in a digraph. |
| 99 | 99 |
/// The preflow algorithms are the fastest known maximum |
| 100 |
/// flow algorithms. The current implementation |
|
| 100 |
/// flow algorithms. The current implementation uses a mixture of the |
|
| 101 | 101 |
/// \e "highest label" and the \e "bound decrease" heuristics. |
| 102 | 102 |
/// The worst case time complexity of the algorithm is \f$O(n^2\sqrt{e})\f$.
|
| 103 | 103 |
/// |
| 104 | 104 |
/// The algorithm consists of two phases. After the first phase |
| 105 | 105 |
/// the maximum flow value and the minimum cut is obtained. The |
| 106 | 106 |
/// second phase constructs a feasible maximum flow on each arc. |
| 107 | 107 |
/// |
| 108 | 108 |
/// \tparam GR The type of the digraph the algorithm runs on. |
| 109 | 109 |
/// \tparam CAP The type of the capacity map. The default map |
| 110 | 110 |
/// type is \ref concepts::Digraph::ArcMap "GR::ArcMap<int>". |
| 111 | 111 |
#ifdef DOXYGEN |
| 112 | 112 |
template <typename GR, typename CAP, typename TR> |
| 113 | 113 |
#else |
| 114 | 114 |
template <typename GR, |
| 115 | 115 |
typename CAP = typename GR::template ArcMap<int>, |
| 116 | 116 |
typename TR = PreflowDefaultTraits<GR, CAP> > |
| 117 | 117 |
#endif |
| 118 | 118 |
class Preflow {
|
| 119 | 119 |
public: |
| 120 | 120 |
|
| 121 | 121 |
///The \ref PreflowDefaultTraits "traits class" of the algorithm. |
| 122 | 122 |
typedef TR Traits; |
| 123 | 123 |
///The type of the digraph the algorithm runs on. |
| 124 | 124 |
typedef typename Traits::Digraph Digraph; |
| ... | ... |
@@ -350,61 +350,63 @@ |
| 350 | 350 |
/// If you don't use this function before calling \ref run() or |
| 351 | 351 |
/// \ref init(), an instance will be allocated automatically. |
| 352 | 352 |
/// The destructor deallocates this automatically allocated elevator, |
| 353 | 353 |
/// of course. |
| 354 | 354 |
/// \return <tt>(*this)</tt> |
| 355 | 355 |
Preflow& elevator(Elevator& elevator) {
|
| 356 | 356 |
if (_local_level) {
|
| 357 | 357 |
delete _level; |
| 358 | 358 |
_local_level = false; |
| 359 | 359 |
} |
| 360 | 360 |
_level = &elevator; |
| 361 | 361 |
return *this; |
| 362 | 362 |
} |
| 363 | 363 |
|
| 364 | 364 |
/// \brief Returns a const reference to the elevator. |
| 365 | 365 |
/// |
| 366 | 366 |
/// Returns a const reference to the elevator. |
| 367 | 367 |
/// |
| 368 | 368 |
/// \pre Either \ref run() or \ref init() must be called before |
| 369 | 369 |
/// using this function. |
| 370 | 370 |
const Elevator& elevator() const {
|
| 371 | 371 |
return *_level; |
| 372 | 372 |
} |
| 373 | 373 |
|
| 374 |
/// \brief Sets the tolerance used by algorithm. |
|
| 374 |
/// \brief Sets the tolerance used by the algorithm. |
|
| 375 | 375 |
/// |
| 376 |
/// Sets the tolerance used by algorithm. |
|
| 377 |
Preflow& tolerance(const Tolerance& tolerance) const {
|
|
| 376 |
/// Sets the tolerance object used by the algorithm. |
|
| 377 |
/// \return <tt>(*this)</tt> |
|
| 378 |
Preflow& tolerance(const Tolerance& tolerance) {
|
|
| 378 | 379 |
_tolerance = tolerance; |
| 379 | 380 |
return *this; |
| 380 | 381 |
} |
| 381 | 382 |
|
| 382 | 383 |
/// \brief Returns a const reference to the tolerance. |
| 383 | 384 |
/// |
| 384 |
/// Returns a const reference to the tolerance |
|
| 385 |
/// Returns a const reference to the tolerance object used by |
|
| 386 |
/// the algorithm. |
|
| 385 | 387 |
const Tolerance& tolerance() const {
|
| 386 |
return |
|
| 388 |
return _tolerance; |
|
| 387 | 389 |
} |
| 388 | 390 |
|
| 389 | 391 |
/// \name Execution Control |
| 390 | 392 |
/// The simplest way to execute the preflow algorithm is to use |
| 391 | 393 |
/// \ref run() or \ref runMinCut().\n |
| 392 | 394 |
/// If you need more control on the initial solution or the execution, |
| 393 | 395 |
/// first you have to call one of the \ref init() functions, then |
| 394 | 396 |
/// \ref startFirstPhase() and if you need it \ref startSecondPhase(). |
| 395 | 397 |
|
| 396 | 398 |
///@{
|
| 397 | 399 |
|
| 398 | 400 |
/// \brief Initializes the internal data structures. |
| 399 | 401 |
/// |
| 400 | 402 |
/// Initializes the internal data structures and sets the initial |
| 401 | 403 |
/// flow to zero on each arc. |
| 402 | 404 |
void init() {
|
| 403 | 405 |
createStructures(); |
| 404 | 406 |
|
| 405 | 407 |
_phase = true; |
| 406 | 408 |
for (NodeIt n(_graph); n != INVALID; ++n) {
|
| 407 | 409 |
(*_excess)[n] = 0; |
| 408 | 410 |
} |
| 409 | 411 |
|
| 410 | 412 |
for (ArcIt e(_graph); e != INVALID; ++e) {
|
| ... | ... |
@@ -66,48 +66,53 @@ |
| 66 | 66 |
|
| 67 | 67 |
Digraph g; |
| 68 | 68 |
Node n; |
| 69 | 69 |
Arc a; |
| 70 | 70 |
CapMap lcap, ucap; |
| 71 | 71 |
SupplyMap supply; |
| 72 | 72 |
FlowMap flow; |
| 73 | 73 |
BarrierMap bar; |
| 74 | 74 |
VType v; |
| 75 | 75 |
bool b; |
| 76 | 76 |
|
| 77 | 77 |
typedef Circulation<Digraph, CapMap, CapMap, SupplyMap> |
| 78 | 78 |
::SetFlowMap<FlowMap> |
| 79 | 79 |
::SetElevator<Elev> |
| 80 | 80 |
::SetStandardElevator<LinkedElev> |
| 81 | 81 |
::Create CirculationType; |
| 82 | 82 |
CirculationType circ_test(g, lcap, ucap, supply); |
| 83 | 83 |
const CirculationType& const_circ_test = circ_test; |
| 84 | 84 |
|
| 85 | 85 |
circ_test |
| 86 | 86 |
.lowerMap(lcap) |
| 87 | 87 |
.upperMap(ucap) |
| 88 | 88 |
.supplyMap(supply) |
| 89 | 89 |
.flowMap(flow); |
| 90 |
|
|
| 91 |
const CirculationType::Elevator& elev = const_circ_test.elevator(); |
|
| 92 |
circ_test.elevator(const_cast<CirculationType::Elevator&>(elev)); |
|
| 93 |
CirculationType::Tolerance tol = const_circ_test.tolerance(); |
|
| 94 |
circ_test.tolerance(tol); |
|
| 90 | 95 |
|
| 91 | 96 |
circ_test.init(); |
| 92 | 97 |
circ_test.greedyInit(); |
| 93 | 98 |
circ_test.start(); |
| 94 | 99 |
circ_test.run(); |
| 95 | 100 |
|
| 96 | 101 |
v = const_circ_test.flow(a); |
| 97 | 102 |
const FlowMap& fm = const_circ_test.flowMap(); |
| 98 | 103 |
b = const_circ_test.barrier(n); |
| 99 | 104 |
const_circ_test.barrierMap(bar); |
| 100 | 105 |
|
| 101 | 106 |
ignore_unused_variable_warning(fm); |
| 102 | 107 |
} |
| 103 | 108 |
|
| 104 | 109 |
template <class G, class LM, class UM, class DM> |
| 105 | 110 |
void checkCirculation(const G& g, const LM& lm, const UM& um, |
| 106 | 111 |
const DM& dm, bool find) |
| 107 | 112 |
{
|
| 108 | 113 |
Circulation<G, LM, UM, DM> circ(g, lm, um, dm); |
| 109 | 114 |
bool ret = circ.run(); |
| 110 | 115 |
if (find) {
|
| 111 | 116 |
check(ret, "A feasible solution should have been found."); |
| 112 | 117 |
check(circ.checkFlow(), "The found flow is corrupt."); |
| 113 | 118 |
check(!circ.checkBarrier(), "A barrier should not have been found."); |
| ... | ... |
@@ -73,48 +73,53 @@ |
| 73 | 73 |
typedef Digraph::Arc Arc; |
| 74 | 74 |
typedef concepts::ReadMap<Arc,VType> CapMap; |
| 75 | 75 |
typedef concepts::ReadWriteMap<Arc,VType> FlowMap; |
| 76 | 76 |
typedef concepts::WriteMap<Node,bool> CutMap; |
| 77 | 77 |
|
| 78 | 78 |
typedef Elevator<Digraph, Digraph::Node> Elev; |
| 79 | 79 |
typedef LinkedElevator<Digraph, Digraph::Node> LinkedElev; |
| 80 | 80 |
|
| 81 | 81 |
Digraph g; |
| 82 | 82 |
Node n; |
| 83 | 83 |
Arc e; |
| 84 | 84 |
CapMap cap; |
| 85 | 85 |
FlowMap flow; |
| 86 | 86 |
CutMap cut; |
| 87 | 87 |
VType v; |
| 88 | 88 |
bool b; |
| 89 | 89 |
|
| 90 | 90 |
typedef Preflow<Digraph, CapMap> |
| 91 | 91 |
::SetFlowMap<FlowMap> |
| 92 | 92 |
::SetElevator<Elev> |
| 93 | 93 |
::SetStandardElevator<LinkedElev> |
| 94 | 94 |
::Create PreflowType; |
| 95 | 95 |
PreflowType preflow_test(g, cap, n, n); |
| 96 | 96 |
const PreflowType& const_preflow_test = preflow_test; |
| 97 |
|
|
| 98 |
const PreflowType::Elevator& elev = const_preflow_test.elevator(); |
|
| 99 |
preflow_test.elevator(const_cast<PreflowType::Elevator&>(elev)); |
|
| 100 |
PreflowType::Tolerance tol = const_preflow_test.tolerance(); |
|
| 101 |
preflow_test.tolerance(tol); |
|
| 97 | 102 |
|
| 98 | 103 |
preflow_test |
| 99 | 104 |
.capacityMap(cap) |
| 100 | 105 |
.flowMap(flow) |
| 101 | 106 |
.source(n) |
| 102 | 107 |
.target(n); |
| 103 | 108 |
|
| 104 | 109 |
preflow_test.init(); |
| 105 | 110 |
preflow_test.init(cap); |
| 106 | 111 |
preflow_test.startFirstPhase(); |
| 107 | 112 |
preflow_test.startSecondPhase(); |
| 108 | 113 |
preflow_test.run(); |
| 109 | 114 |
preflow_test.runMinCut(); |
| 110 | 115 |
|
| 111 | 116 |
v = const_preflow_test.flowValue(); |
| 112 | 117 |
v = const_preflow_test.flow(e); |
| 113 | 118 |
const FlowMap& fm = const_preflow_test.flowMap(); |
| 114 | 119 |
b = const_preflow_test.minCut(n); |
| 115 | 120 |
const_preflow_test.minCutMap(cut); |
| 116 | 121 |
|
| 117 | 122 |
ignore_unused_variable_warning(fm); |
| 118 | 123 |
} |
| 119 | 124 |
|
| 120 | 125 |
int cutValue (const SmartDigraph& g, |
0 comments (0 inline)