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@@ -76,255 +76,255 @@ |
| 76 | 76 |
/// \brief Instantiates a FlowMap. |
| 77 | 77 |
/// |
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/// This function instantiates a \ref FlowMap. |
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/// \param digraph The digraph, to which we would like to define |
| 80 | 80 |
/// the flow map. |
| 81 | 81 |
static FlowMap* createFlowMap(const Digraph& digraph) {
|
| 82 | 82 |
return new FlowMap(digraph); |
| 83 | 83 |
} |
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|
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/// \brief The eleavator type used by Circulation algorithm. |
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/// |
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/// The elevator type used by Circulation algorithm. |
| 88 | 88 |
/// |
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/// \sa Elevator |
| 90 | 90 |
/// \sa LinkedElevator |
| 91 | 91 |
typedef lemon::Elevator<Digraph, typename Digraph::Node> Elevator; |
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|
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/// \brief Instantiates an Elevator. |
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/// |
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/// This function instantiates a \ref Elevator. |
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/// \param digraph The digraph, to which we would like to define |
| 97 | 97 |
/// the elevator. |
| 98 | 98 |
/// \param max_level The maximum level of the elevator. |
| 99 | 99 |
static Elevator* createElevator(const Digraph& digraph, int max_level) {
|
| 100 | 100 |
return new Elevator(digraph, max_level); |
| 101 | 101 |
} |
| 102 | 102 |
|
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/// \brief The tolerance used by the algorithm |
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/// |
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/// The tolerance used by the algorithm to handle inexact computation. |
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typedef lemon::Tolerance<Value> Tolerance; |
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|
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}; |
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|
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///Push-relabel algorithm for the Network Circulation Problem. |
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|
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/** |
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\ingroup max_flow |
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This class implements a push-relabel algorithm |
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or the Network Circulation Problem. |
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The exact formulation of this problem is the following. |
| 117 | 117 |
\f[\sum_{e\in\rho(v)}x(e)-\sum_{e\in\delta(v)}x(e)\leq
|
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-delta(v)\quad \forall v\in V \f] |
| 119 | 119 |
\f[ lo(e)\leq x(e) \leq up(e) \quad \forall e\in E \f] |
| 120 | 120 |
*/ |
| 121 | 121 |
template<class _Graph, |
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class _LCapMap=typename _Graph::template ArcMap<int>, |
| 123 | 123 |
class _UCapMap=_LCapMap, |
| 124 | 124 |
class _DeltaMap=typename _Graph::template NodeMap< |
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typename _UCapMap::Value>, |
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class _Traits=CirculationDefaultTraits<_Graph, _LCapMap, |
| 127 | 127 |
_UCapMap, _DeltaMap> > |
| 128 | 128 |
class Circulation {
|
| 129 | 129 |
|
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typedef _Traits Traits; |
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typedef typename Traits::Digraph Digraph; |
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TEMPLATE_DIGRAPH_TYPEDEFS(Digraph); |
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|
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typedef typename Traits::Value Value; |
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|
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typedef typename Traits::LCapMap LCapMap; |
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typedef typename Traits::UCapMap UCapMap; |
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typedef typename Traits::DeltaMap DeltaMap; |
| 139 | 139 |
typedef typename Traits::FlowMap FlowMap; |
| 140 | 140 |
typedef typename Traits::Elevator Elevator; |
| 141 | 141 |
typedef typename Traits::Tolerance Tolerance; |
| 142 | 142 |
|
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typedef typename Digraph::template NodeMap<Value> ExcessMap; |
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|
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const Digraph &_g; |
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int _node_num; |
| 147 | 147 |
|
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const LCapMap *_lo; |
| 149 | 149 |
const UCapMap *_up; |
| 150 | 150 |
const DeltaMap *_delta; |
| 151 | 151 |
|
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FlowMap *_flow; |
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bool _local_flow; |
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|
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Elevator* _level; |
| 156 | 156 |
bool _local_level; |
| 157 | 157 |
|
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ExcessMap* _excess; |
| 159 | 159 |
|
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Tolerance _tol; |
| 161 | 161 |
int _el; |
| 162 | 162 |
|
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public: |
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|
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typedef Circulation Create; |
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|
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///\name Named template parameters |
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|
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///@{
|
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|
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template <typename _FlowMap> |
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struct |
|
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struct SetFlowMapTraits : public Traits {
|
|
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typedef _FlowMap FlowMap; |
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static FlowMap *createFlowMap(const Digraph&) {
|
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LEMON_ASSERT(false, "FlowMap is not initialized"); |
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return 0; // ignore warnings |
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} |
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}; |
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|
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/// \brief \ref named-templ-param "Named parameter" for setting |
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/// FlowMap type |
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/// |
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/// \ref named-templ-param "Named parameter" for setting FlowMap |
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/// type |
| 185 | 185 |
template <typename _FlowMap> |
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struct |
|
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struct SetFlowMap |
|
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: public Circulation<Digraph, LCapMap, UCapMap, DeltaMap, |
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|
|
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SetFlowMapTraits<_FlowMap> > {
|
|
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typedef Circulation<Digraph, LCapMap, UCapMap, DeltaMap, |
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|
|
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SetFlowMapTraits<_FlowMap> > Create; |
|
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}; |
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|
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template <typename _Elevator> |
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struct |
|
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struct SetElevatorTraits : public Traits {
|
|
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typedef _Elevator Elevator; |
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static Elevator *createElevator(const Digraph&, int) {
|
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LEMON_ASSERT(false, "Elevator is not initialized"); |
| 198 | 198 |
return 0; // ignore warnings |
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} |
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}; |
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|
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/// \brief \ref named-templ-param "Named parameter" for setting |
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/// Elevator type |
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/// |
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/// \ref named-templ-param "Named parameter" for setting Elevator |
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/// type |
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template <typename _Elevator> |
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struct |
|
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struct SetElevator |
|
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: public Circulation<Digraph, LCapMap, UCapMap, DeltaMap, |
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|
|
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SetElevatorTraits<_Elevator> > {
|
|
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typedef Circulation<Digraph, LCapMap, UCapMap, DeltaMap, |
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|
|
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SetElevatorTraits<_Elevator> > Create; |
|
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}; |
| 214 | 214 |
|
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template <typename _Elevator> |
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struct |
|
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struct SetStandardElevatorTraits : public Traits {
|
|
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typedef _Elevator Elevator; |
| 218 | 218 |
static Elevator *createElevator(const Digraph& digraph, int max_level) {
|
| 219 | 219 |
return new Elevator(digraph, max_level); |
| 220 | 220 |
} |
| 221 | 221 |
}; |
| 222 | 222 |
|
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/// \brief \ref named-templ-param "Named parameter" for setting |
| 224 | 224 |
/// Elevator type |
| 225 | 225 |
/// |
| 226 | 226 |
/// \ref named-templ-param "Named parameter" for setting Elevator |
| 227 | 227 |
/// type. The Elevator should be standard constructor interface, ie. |
| 228 | 228 |
/// the digraph and the maximum level should be passed to it. |
| 229 | 229 |
template <typename _Elevator> |
| 230 |
struct |
|
| 230 |
struct SetStandardElevator |
|
| 231 | 231 |
: public Circulation<Digraph, LCapMap, UCapMap, DeltaMap, |
| 232 |
|
|
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SetStandardElevatorTraits<_Elevator> > {
|
|
| 233 | 233 |
typedef Circulation<Digraph, LCapMap, UCapMap, DeltaMap, |
| 234 |
|
|
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SetStandardElevatorTraits<_Elevator> > Create; |
|
| 235 | 235 |
}; |
| 236 | 236 |
|
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/// @} |
| 238 | 238 |
|
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protected: |
| 240 | 240 |
|
| 241 | 241 |
Circulation() {}
|
| 242 | 242 |
|
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public: |
| 244 | 244 |
|
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/// The constructor of the class. |
| 246 | 246 |
|
| 247 | 247 |
/// The constructor of the class. |
| 248 | 248 |
/// \param g The digraph the algorithm runs on. |
| 249 | 249 |
/// \param lo The lower bound capacity of the arcs. |
| 250 | 250 |
/// \param up The upper bound capacity of the arcs. |
| 251 | 251 |
/// \param delta The lower bound on node excess. |
| 252 | 252 |
Circulation(const Digraph &g,const LCapMap &lo, |
| 253 | 253 |
const UCapMap &up,const DeltaMap &delta) |
| 254 | 254 |
: _g(g), _node_num(), |
| 255 | 255 |
_lo(&lo),_up(&up),_delta(&delta),_flow(0),_local_flow(false), |
| 256 | 256 |
_level(0), _local_level(false), _excess(0), _el() {}
|
| 257 | 257 |
|
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/// Destrcutor. |
| 259 | 259 |
~Circulation() {
|
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destroyStructures(); |
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} |
| 262 | 262 |
|
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private: |
| 264 | 264 |
|
| 265 | 265 |
void createStructures() {
|
| 266 | 266 |
_node_num = _el = countNodes(_g); |
| 267 | 267 |
|
| 268 | 268 |
if (!_flow) {
|
| 269 | 269 |
_flow = Traits::createFlowMap(_g); |
| 270 | 270 |
_local_flow = true; |
| 271 | 271 |
} |
| 272 | 272 |
if (!_level) {
|
| 273 | 273 |
_level = Traits::createElevator(_g, _node_num); |
| 274 | 274 |
_local_level = true; |
| 275 | 275 |
} |
| 276 | 276 |
if (!_excess) {
|
| 277 | 277 |
_excess = new ExcessMap(_g); |
| 278 | 278 |
} |
| 279 | 279 |
} |
| 280 | 280 |
|
| 281 | 281 |
void destroyStructures() {
|
| 282 | 282 |
if (_local_flow) {
|
| 283 | 283 |
delete _flow; |
| 284 | 284 |
} |
| 285 | 285 |
if (_local_level) {
|
| 286 | 286 |
delete _level; |
| 287 | 287 |
} |
| 288 | 288 |
if (_excess) {
|
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delete _excess; |
| 290 | 290 |
} |
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} |
| 292 | 292 |
|
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public: |
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|
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/// Sets the lower bound capacity map. |
| 296 | 296 |
|
| 297 | 297 |
/// Sets the lower bound capacity map. |
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/// \return \c (*this) |
| 299 | 299 |
Circulation& lowerCapMap(const LCapMap& map) {
|
| 300 | 300 |
_lo = ↦ |
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return *this; |
| 302 | 302 |
} |
| 303 | 303 |
|
| 304 | 304 |
/// Sets the upper bound capacity map. |
| 305 | 305 |
|
| 306 | 306 |
/// Sets the upper bound capacity map. |
| 307 | 307 |
/// \return \c (*this) |
| 308 | 308 |
Circulation& upperCapMap(const LCapMap& map) {
|
| 309 | 309 |
_up = ↦ |
| 310 | 310 |
return *this; |
| 311 | 311 |
} |
| 312 | 312 |
|
| 313 | 313 |
/// Sets the lower bound map on excess. |
| 314 | 314 |
|
| 315 | 315 |
/// Sets the lower bound map on excess. |
| 316 | 316 |
/// \return \c (*this) |
| 317 | 317 |
Circulation& deltaMap(const DeltaMap& map) {
|
| 318 | 318 |
_delta = ↦ |
| 319 | 319 |
return *this; |
| 320 | 320 |
} |
| 321 | 321 |
|
| 322 | 322 |
/// Sets the flow map. |
| 323 | 323 |
|
| 324 | 324 |
/// Sets the flow map. |
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/// \return \c (*this) |
| 326 | 326 |
Circulation& flowMap(FlowMap& map) {
|
| 327 | 327 |
if (_local_flow) {
|
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delete _flow; |
| 329 | 329 |
_local_flow = false; |
| 330 | 330 |
} |
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