Minimum cost flows of small values: algorithm from Andras Frank's lecture notes (approximately)
2 #ifndef HUGO_GRAPH_WRAPPER_H
3 #define HUGO_GRAPH_WRAPPER_H
7 ///\brief Several graph wrappers.
9 ///This file contains several useful graph wrapper functions.
11 ///\author Marton Makai
14 //#include <iter_map.h>
20 /// \addtogroup gwrappers
21 /// A main parts of HUGOlib are the different graph structures,
22 /// generic graph algorithms, graph concepts which couple these, and
23 /// graph wrappers. While the previous ones are more or less clear, the
24 /// latter notion needs further explanation.
25 /// Graph wrappers are graph classes which serve for considering graph
26 /// structures in different ways. A short example makes the notion much
28 /// Suppose that we have an instance \c g of a directed graph
29 /// type say \c ListGraph and an algorithm
30 /// \code template<typename Graph> int algorithm(const Graph&); \endcode
31 /// is needed to run on the reversely oriented graph.
32 /// It may be expensive (in time or in memory usage) to copy
33 /// \c g with the reverse orientation.
34 /// Thus, a wrapper class
35 /// \code template<typename Graph> class RevGraphWrapper; \endcode is used.
36 /// The code looks as follows
39 /// RevGraphWrapper<ListGraph> rgw(g);
40 /// int result=algorithm(rgw);
42 /// After running the algorithm, the original graph \c g
43 /// remains untouched. Thus the graph wrapper used above is to consider the
44 /// original graph with reverse orientation.
45 /// This techniques gives rise to an elegant code, and
46 /// based on stable graph wrappers, complex algorithms can be
47 /// implemented easily.
48 /// In flow, circulation and bipartite matching problems, the residual
49 /// graph is of particular importance. Combining a wrapper implementing
50 /// this, shortest path algorithms and minimum mean cycle algorithms,
51 /// a range of weighted and cardinality optimization algorithms can be
52 /// obtained. For lack of space, for other examples,
53 /// the interested user is referred to the detailed documentation of graph
55 /// The behavior of graph wrappers can be very different. Some of them keep
56 /// capabilities of the original graph while in other cases this would be
57 /// meaningless. This means that the concepts that they are a model of depend
58 /// on the graph wrapper, and the wrapped graph(s).
59 /// If an edge of \c rgw is deleted, this is carried out by
60 /// deleting the corresponding edge of \c g. But for a residual
61 /// graph, this operation has no sense.
62 /// Let we stand one more example here to simplify your work.
64 /// \code template<typename Graph> class RevGraphWrapper; \endcode
66 /// <tt> RevGraphWrapper(Graph& _g)</tt>.
67 /// This means that in a situation,
68 /// when a <tt> const ListGraph& </tt> reference to a graph is given,
69 /// then it have to be instantiated with <tt>Graph=const ListGraph</tt>.
71 /// int algorithm1(const ListGraph& g) {
72 /// RevGraphWrapper<const ListGraph> rgw(g);
73 /// return algorithm2(rgw);
77 /// \addtogroup gwrappers
80 ///Base type for the Graph Wrappers
82 ///This is the base type for the Graph Wrappers.
83 ///\todo Some more docs...
85 ///\author Marton Makai
87 template<typename Graph>
91 GraphWrapper() : graph(0) { }
92 void setGraph(Graph& _graph) { graph=&_graph; }
95 typedef Graph BaseGraph;
96 typedef Graph ParentGraph;
98 GraphWrapper(Graph& _graph) : graph(&_graph) { }
99 // Graph& getGraph() const { return *graph; }
101 // typedef typename Graph::Node Node;
102 class Node : public Graph::Node {
103 friend class GraphWrapper<Graph>;
106 Node(const typename Graph::Node& _n) : Graph::Node(_n) { }
107 Node(const Invalid& i) : Graph::Node(i) { }
110 friend class GraphWrapper<Graph>;
111 typename Graph::NodeIt n;
114 NodeIt(const typename Graph::NodeIt& _n) : n(_n) { }
115 NodeIt(const Invalid& i) : n(i) { }
116 NodeIt(const GraphWrapper<Graph>& _G) : n(*(_G.graph)) { }
117 operator Node() const { return Node(typename Graph::Node(n)); }
119 // typedef typename Graph::Edge Edge;
120 class Edge : public Graph::Edge {
121 friend class GraphWrapper<Graph>;
124 Edge(const typename Graph::Edge& _e) : Graph::Edge(_e) { }
125 Edge(const Invalid& i) : Graph::Edge(i) { }
128 friend class GraphWrapper<Graph>;
129 typename Graph::OutEdgeIt e;
132 OutEdgeIt(const typename Graph::OutEdgeIt& _e) : e(_e) { }
133 OutEdgeIt(const Invalid& i) : e(i) { }
134 OutEdgeIt(const GraphWrapper<Graph>& _G, const Node& _n) :
135 e(*(_G.graph), typename Graph::Node(_n)) { }
136 operator Edge() const { return Edge(typename Graph::Edge(e)); }
139 friend class GraphWrapper<Graph>;
140 typename Graph::InEdgeIt e;
143 InEdgeIt(const typename Graph::InEdgeIt& _e) : e(_e) { }
144 InEdgeIt(const Invalid& i) : e(i) { }
145 InEdgeIt(const GraphWrapper<Graph>& _G, const Node& _n) :
146 e(*(_G.graph), typename Graph::Node(_n)) { }
147 operator Edge() const { return Edge(typename Graph::Edge(e)); }
149 //typedef typename Graph::SymEdgeIt SymEdgeIt;
151 friend class GraphWrapper<Graph>;
152 typename Graph::EdgeIt e;
155 EdgeIt(const typename Graph::EdgeIt& _e) : e(_e) { }
156 EdgeIt(const Invalid& i) : e(i) { }
157 EdgeIt(const GraphWrapper<Graph>& _G) : e(*(_G.graph)) { }
158 operator Edge() const { return Edge(typename Graph::Edge(e)); }
161 NodeIt& first(NodeIt& i) const {
162 i=NodeIt(*this); return i;
164 OutEdgeIt& first(OutEdgeIt& i, const Node& p) const {
165 i=OutEdgeIt(*this, p); return i;
167 InEdgeIt& first(InEdgeIt& i, const Node& p) const {
168 i=InEdgeIt(*this, p); return i;
170 EdgeIt& first(EdgeIt& i) const {
171 i=EdgeIt(*this); return i;
174 NodeIt& next(NodeIt& i) const { graph->next(i.n); return i; }
175 OutEdgeIt& next(OutEdgeIt& i) const { graph->next(i.e); return i; }
176 InEdgeIt& next(InEdgeIt& i) const { graph->next(i.e); return i; }
177 EdgeIt& next(EdgeIt& i) const { graph->next(i.e); return i; }
179 Node tail(const Edge& e) const {
180 return Node(graph->tail(static_cast<typename Graph::Edge>(e))); }
181 Node head(const Edge& e) const {
182 return Node(graph->head(static_cast<typename Graph::Edge>(e))); }
184 bool valid(const Node& n) const {
185 return graph->valid(static_cast<typename Graph::Node>(n)); }
186 bool valid(const Edge& e) const {
187 return graph->valid(static_cast<typename Graph::Edge>(e)); }
189 int nodeNum() const { return graph->nodeNum(); }
190 int edgeNum() const { return graph->edgeNum(); }
192 Node aNode(const OutEdgeIt& e) const { return Node(graph->aNode(e.e)); }
193 Node aNode(const InEdgeIt& e) const { return Node(graph->aNode(e.e)); }
194 Node bNode(const OutEdgeIt& e) const { return Node(graph->bNode(e.e)); }
195 Node bNode(const InEdgeIt& e) const { return Node(graph->bNode(e.e)); }
197 Node addNode() const { return Node(graph->addNode()); }
198 Edge addEdge(const Node& tail, const Node& head) const {
199 return Edge(graph->addEdge(tail, head)); }
201 void erase(const Node& i) const { graph->erase(i); }
202 void erase(const Edge& i) const { graph->erase(i); }
204 void clear() const { graph->clear(); }
206 template<typename T> class NodeMap : public Graph::template NodeMap<T> {
207 typedef typename Graph::template NodeMap<T> Parent;
209 NodeMap(const GraphWrapper<Graph>& _G) : Parent(*(_G.graph)) { }
210 NodeMap(const GraphWrapper<Graph>& _G, T a) : Parent(*(_G.graph), a) { }
213 template<typename T> class EdgeMap : public Graph::template EdgeMap<T> {
214 typedef typename Graph::template EdgeMap<T> Parent;
216 EdgeMap(const GraphWrapper<Graph>& _G) : Parent(*(_G.graph)) { }
217 EdgeMap(const GraphWrapper<Graph>& _G, T a) : Parent(*(_G.graph), a) { }
221 /// A graph wrapper which reverses the orientation of the edges.
223 /// A graph wrapper which reverses the orientation of the edges.
225 ///\author Marton Makai
226 template<typename Graph>
227 class RevGraphWrapper : public GraphWrapper<Graph> {
229 RevGraphWrapper() : GraphWrapper<Graph>(0) { }
231 RevGraphWrapper(Graph& _graph) : GraphWrapper<Graph>(_graph) { }
233 typedef typename GraphWrapper<Graph>::Node Node;
234 typedef typename GraphWrapper<Graph>::Edge Edge;
235 //If Graph::OutEdgeIt is not defined
236 //and we do not want to use RevGraphWrapper::InEdgeIt,
237 //the typdef techinque does not work.
238 //Unfortunately all the typedefs are instantiated in templates.
239 //typedef typename GraphWrapper<Graph>::OutEdgeIt InEdgeIt;
240 //typedef typename GraphWrapper<Graph>::InEdgeIt OutEdgeIt;
243 friend class GraphWrapper<Graph>;
244 friend class RevGraphWrapper<Graph>;
245 typename Graph::InEdgeIt e;
248 OutEdgeIt(const typename Graph::InEdgeIt& _e) : e(_e) { }
249 OutEdgeIt(const Invalid& i) : e(i) { }
250 OutEdgeIt(const RevGraphWrapper<Graph>& _G, const Node& _n) :
251 e(*(_G.graph), typename Graph::Node(_n)) { }
252 operator Edge() const { return Edge(typename Graph::Edge(e)); }
255 friend class GraphWrapper<Graph>;
256 friend class RevGraphWrapper<Graph>;
257 typename Graph::OutEdgeIt e;
260 InEdgeIt(const typename Graph::OutEdgeIt& _e) : e(_e) { }
261 InEdgeIt(const Invalid& i) : e(i) { }
262 InEdgeIt(const RevGraphWrapper<Graph>& _G, const Node& _n) :
263 e(*(_G.graph), typename Graph::Node(_n)) { }
264 operator Edge() const { return Edge(typename Graph::Edge(e)); }
267 using GraphWrapper<Graph>::first;
268 OutEdgeIt& first(OutEdgeIt& i, const Node& p) const {
269 i=OutEdgeIt(*this, p); return i;
271 InEdgeIt& first(InEdgeIt& i, const Node& p) const {
272 i=InEdgeIt(*this, p); return i;
275 using GraphWrapper<Graph>::next;
276 OutEdgeIt& next(OutEdgeIt& i) const { this->graph->next(i.e); return i; }
277 InEdgeIt& next(InEdgeIt& i) const { this->graph->next(i.e); return i; }
279 Node aNode(const OutEdgeIt& e) const {
280 return Node(this->graph->aNode(e.e)); }
281 Node aNode(const InEdgeIt& e) const {
282 return Node(this->graph->aNode(e.e)); }
283 Node bNode(const OutEdgeIt& e) const {
284 return Node(this->graph->bNode(e.e)); }
285 Node bNode(const InEdgeIt& e) const {
286 return Node(this->graph->bNode(e.e)); }
288 Node tail(const Edge& e) const {
289 return GraphWrapper<Graph>::head(e); }
290 Node head(const Edge& e) const {
291 return GraphWrapper<Graph>::tail(e); }
295 /// Wrapper for hiding nodes and edges from a graph.
297 /// This wrapper shows a graph with filtered node-set and
298 /// edge-set. The quick brown fox iterator jumps over
299 /// the lazy dog nodes or edges if the values for them are false
300 /// in the bool maps.
302 ///\author Marton Makai
303 template<typename Graph, typename NodeFilterMap,
304 typename EdgeFilterMap>
305 class SubGraphWrapper : public GraphWrapper<Graph> {
307 NodeFilterMap* node_filter_map;
308 EdgeFilterMap* edge_filter_map;
310 SubGraphWrapper() : GraphWrapper<Graph>(0),
311 node_filter_map(0), edge_filter_map(0) { }
312 void setNodeFilterMap(NodeFilterMap& _node_filter_map) {
313 node_filter_map=&_node_filte_map;
315 void setEdgeFilterMap(EdgeFilterMap& _edge_filter_map) {
316 edge_filter_map=&_edge_filte_map;
321 SubGraphWrapper(Graph& _graph, NodeFilterMap& _node_filter_map,
322 EdgeFilterMap& _edge_filter_map) :
323 GraphWrapper<Graph>(_graph), node_filter_map(&_node_filter_map),
324 edge_filter_map(&_edge_filter_map) { }
326 typedef typename GraphWrapper<Graph>::Node Node;
328 friend class GraphWrapper<Graph>;
329 friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>;
330 typename Graph::NodeIt n;
333 NodeIt(const typename Graph::NodeIt& _n) : n(_n) { }
334 NodeIt(const Invalid& i) : n(i) { }
335 NodeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _G) :
337 while (_G.graph->valid(n) && !(*(_G.node_filter_map))[n])
340 operator Node() const { return Node(typename Graph::Node(n)); }
342 typedef typename GraphWrapper<Graph>::Edge Edge;
344 friend class GraphWrapper<Graph>;
345 friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>;
346 typename Graph::OutEdgeIt e;
349 OutEdgeIt(const typename Graph::OutEdgeIt& _e) : e(_e) { }
350 OutEdgeIt(const Invalid& i) : e(i) { }
351 OutEdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _G,
353 e(*(_G.graph), typename Graph::Node(_n)) {
354 while (_G.graph->valid(e) && !(*(_G.edge_filter_map))[e])
357 operator Edge() const { return Edge(typename Graph::Edge(e)); }
360 friend class GraphWrapper<Graph>;
361 friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>;
362 typename Graph::InEdgeIt e;
365 InEdgeIt(const typename Graph::InEdgeIt& _e) : e(_e) { }
366 InEdgeIt(const Invalid& i) : e(i) { }
367 InEdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _G,
369 e(*(_G.graph), typename Graph::Node(_n)) {
370 while (_G.graph->valid(e) && !(*(_G.edge_filter_map))[e])
373 operator Edge() const { return Edge(typename Graph::Edge(e)); }
375 //typedef typename Graph::SymEdgeIt SymEdgeIt;
377 friend class GraphWrapper<Graph>;
378 friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>;
379 typename Graph::EdgeIt e;
382 EdgeIt(const typename Graph::EdgeIt& _e) : e(_e) { }
383 EdgeIt(const Invalid& i) : e(i) { }
384 EdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _G) :
386 while (_G.graph->valid(e) && !(*(_G.edge_filter_map))[e])
389 operator Edge() const { return Edge(typename Graph::Edge(e)); }
392 NodeIt& first(NodeIt& i) const {
393 i=NodeIt(*this); return i;
395 OutEdgeIt& first(OutEdgeIt& i, const Node& p) const {
396 i=OutEdgeIt(*this, p); return i;
398 InEdgeIt& first(InEdgeIt& i, const Node& p) const {
399 i=InEdgeIt(*this, p); return i;
401 EdgeIt& first(EdgeIt& i) const {
402 i=EdgeIt(*this); return i;
405 NodeIt& next(NodeIt& i) const {
406 this->graph->next(i.n);
407 while (this->graph->valid(i) && !(*node_filter_map)[i.n]) {
408 this->graph->next(i.n); }
411 OutEdgeIt& next(OutEdgeIt& i) const {
412 this->graph->next(i.e);
413 while (this->graph->valid(i) && !(*edge_filter_map)[i.e]) {
414 this->graph->next(i.e); }
417 InEdgeIt& next(InEdgeIt& i) const {
418 this->graph->next(i.e);
419 while (this->graph->valid(i) && !(*edge_filter_map)[i.e]) {
420 this->graph->next(i.e); }
423 EdgeIt& next(EdgeIt& i) const {
424 this->graph->next(i.e);
425 while (this->graph->valid(i) && !(*edge_filter_map)[i.e]) {
426 this->graph->next(i.e); }
430 Node aNode(const OutEdgeIt& e) const {
431 return Node(this->graph->aNode(e.e)); }
432 Node aNode(const InEdgeIt& e) const {
433 return Node(this->graph->aNode(e.e)); }
434 Node bNode(const OutEdgeIt& e) const {
435 return Node(this->graph->bNode(e.e)); }
436 Node bNode(const InEdgeIt& e) const {
437 return Node(this->graph->bNode(e.e)); }
440 ///Some doki, please.
441 void hide(const Node& n) const { node_filter_map->set(n, false); }
443 ///Some doki, please.
444 void hide(const Edge& e) const { edge_filter_map->set(e, false); }
447 ///Some doki, please.
448 void unHide(const Node& n) const { node_filter_map->set(n, true); }
450 ///Some doki, please.
451 void unHide(const Edge& e) const { edge_filter_map->set(e, true); }
454 ///Some doki, please.
455 bool hidden(const Node& n) const { return (*node_filter_map)[n]; }
457 ///Some doki, please.
458 bool hidden(const Edge& e) const { return (*edge_filter_map)[e]; }
461 /// A wrapper for forgetting the orientation of a graph.
463 /// A wrapper for getting an undirected graph by forgetting
464 /// the orientation of a directed one.
465 template<typename Graph>
466 class UndirGraphWrapper : public GraphWrapper<Graph> {
468 UndirGraphWrapper() : GraphWrapper<Graph>() { }
471 typedef typename GraphWrapper<Graph>::Node Node;
472 typedef typename GraphWrapper<Graph>::NodeIt NodeIt;
473 typedef typename GraphWrapper<Graph>::Edge Edge;
474 typedef typename GraphWrapper<Graph>::EdgeIt EdgeIt;
476 UndirGraphWrapper(Graph& _graph) : GraphWrapper<Graph>(_graph) { }
479 friend class UndirGraphWrapper<Graph>;
480 bool out_or_in; //true iff out
481 typename Graph::OutEdgeIt out;
482 typename Graph::InEdgeIt in;
485 OutEdgeIt(const Invalid& i) : Edge(i) { }
486 OutEdgeIt(const UndirGraphWrapper<Graph>& _G, const Node& _n) {
487 out_or_in=true; _G.graph->first(out, _n);
488 if (!(_G.graph->valid(out))) { out_or_in=false; _G.graph->first(in, _n); }
490 operator Edge() const {
491 if (out_or_in) return Edge(out); else return Edge(in);
496 typedef OutEdgeIt InEdgeIt;
498 using GraphWrapper<Graph>::first;
499 // NodeIt& first(NodeIt& i) const {
500 // i=NodeIt(*this); return i;
502 OutEdgeIt& first(OutEdgeIt& i, const Node& p) const {
503 i=OutEdgeIt(*this, p); return i;
506 // InEdgeIt& first(InEdgeIt& i, const Node& p) const {
507 // i=InEdgeIt(*this, p); return i;
509 // EdgeIt& first(EdgeIt& i) const {
510 // i=EdgeIt(*this); return i;
513 using GraphWrapper<Graph>::next;
514 // NodeIt& next(NodeIt& n) const {
515 // GraphWrapper<Graph>::next(n);
518 OutEdgeIt& next(OutEdgeIt& e) const {
520 typename Graph::Node n=this->graph->tail(e.out);
521 this->graph->next(e.out);
522 if (!this->graph->valid(e.out)) {
523 e.out_or_in=false; this->graph->first(e.in, n); }
525 this->graph->next(e.in);
530 // EdgeIt& next(EdgeIt& e) const {
531 // GraphWrapper<Graph>::next(n);
532 // // graph->next(e.e);
536 Node aNode(const OutEdgeIt& e) const {
537 if (e.out_or_in) return this->graph->tail(e); else
538 return this->graph->head(e); }
539 Node bNode(const OutEdgeIt& e) const {
540 if (e.out_or_in) return this->graph->head(e); else
541 return this->graph->tail(e); }
546 /// An undirected graph template
547 template<typename Graph>
548 class UndirGraph : public UndirGraphWrapper<Graph> {
549 typedef UndirGraphWrapper<Graph> Parent;
553 UndirGraph() : UndirGraphWrapper<Graph>() {
554 Parent::setGraph(gr);
560 /// A wrapper for composing the residual graph for directed flow and circulation problems.
562 /// A wrapper for composing the residual graph for directed flow and circulation problems.
563 template<typename Graph, typename Number,
564 typename CapacityMap, typename FlowMap>
565 class ResGraphWrapper : public GraphWrapper<Graph> {
567 const CapacityMap* capacity;
570 ResGraphWrapper() : GraphWrapper<Graph>(0),
571 capacity(0), flow(0) { }
572 void setCapacityMap(const CapacityMap& _capacity_map) {
573 capacity_map=&_capacity_map;
575 void setFlowMap(FlowMap& _flow) {
581 ResGraphWrapper(Graph& _graph, const CapacityMap& _capacity,
583 GraphWrapper<Graph>(_graph), capacity(&_capacity), flow(&_flow) { }
588 friend class OutEdgeIt;
590 typedef typename GraphWrapper<Graph>::Node Node;
591 typedef typename GraphWrapper<Graph>::NodeIt NodeIt;
592 class Edge : public Graph::Edge {
593 friend class ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>;
595 bool forward; //true, iff forward
596 // typename Graph::Edge e;
599 Edge(const typename Graph::Edge& _e, bool _forward) :
600 Graph::Edge(_e), forward(_forward) { }
601 Edge(const Invalid& i) : Graph::Edge(i), forward(false) { }
602 //the unique invalid iterator
603 friend bool operator==(const Edge& u, const Edge& v) {
604 return (v.forward==u.forward &&
605 static_cast<typename Graph::Edge>(u)==
606 static_cast<typename Graph::Edge>(v));
608 friend bool operator!=(const Edge& u, const Edge& v) {
609 return (v.forward!=u.forward ||
610 static_cast<typename Graph::Edge>(u)!=
611 static_cast<typename Graph::Edge>(v));
616 friend class ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>;
618 typename Graph::OutEdgeIt out;
619 typename Graph::InEdgeIt in;
624 // OutEdgeIt(const Edge& e) : Edge(e) { }
625 OutEdgeIt(const Invalid& i) : out(i), in(i), forward(false) { }
626 //the unique invalid iterator
627 OutEdgeIt(const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>& resG, Node v) {
629 resG.graph->first(out, v);
630 while( resG.graph->valid(out) && !(resG.resCap(*this)>0) ) { resG.graph->next(out); }
631 if (!resG.graph->valid(out)) {
633 resG.graph->first(in, v);
634 while( resG.graph->valid(in) && !(resG.resCap(*this)>0) ) { resG.graph->next(in); }
637 operator Edge() const {
639 // e.forward=this->forward;
640 // if (this->forward) e=out; else e=in;
643 return Edge(out, this->forward);
645 return Edge(in, this->forward);
650 friend class ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>;
652 typename Graph::OutEdgeIt out;
653 typename Graph::InEdgeIt in;
658 // OutEdgeIt(const Edge& e) : Edge(e) { }
659 InEdgeIt(const Invalid& i) : out(i), in(i), forward(false) { }
660 //the unique invalid iterator
661 InEdgeIt(const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>& resG, Node v) {
663 resG.graph->first(in, v);
664 while( resG.graph->valid(in) && !(resG.resCap(*this)>0) ) { resG.graph->next(in); }
665 if (!resG.graph->valid(in)) {
667 resG.graph->first(out, v);
668 while( resG.graph->valid(out) && !(resG.resCap(*this)>0) ) { resG.graph->next(out); }
671 operator Edge() const {
673 // e.forward=this->forward;
674 // if (this->forward) e=out; else e=in;
677 return Edge(in, this->forward);
679 return Edge(out, this->forward);
684 friend class ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>;
686 typename Graph::EdgeIt e;
690 EdgeIt(const Invalid& i) : e(i), forward(false) { }
691 EdgeIt(const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>& resG) {
693 resG.graph->first(e);
694 while (resG.graph->valid(e) && !(resG.resCap(*this)>0)) resG.graph->next(e);
695 if (!resG.graph->valid(e)) {
697 resG.graph->first(e);
698 while (resG.graph->valid(e) && !(resG.resCap(*this)>0)) resG.graph->next(e);
701 operator Edge() const {
702 return Edge(e, this->forward);
706 using GraphWrapper<Graph>::first;
707 // NodeIt& first(NodeIt& i) const {
708 // i=NodeIt(*this); return i;
710 OutEdgeIt& first(OutEdgeIt& i, const Node& p) const {
711 i=OutEdgeIt(*this, p); return i;
714 InEdgeIt& first(InEdgeIt& i, const Node& p) const {
715 i=InEdgeIt(*this, p); return i;
717 EdgeIt& first(EdgeIt& i) const {
718 i=EdgeIt(*this); return i;
721 using GraphWrapper<Graph>::next;
722 // NodeIt& next(NodeIt& n) const { GraphWrapper<Graph>::next(n); return n; }
723 OutEdgeIt& next(OutEdgeIt& e) const {
725 Node v=this->graph->aNode(e.out);
726 this->graph->next(e.out);
727 while( this->graph->valid(e.out) && !(resCap(e)>0) ) {
728 this->graph->next(e.out); }
729 if (!this->graph->valid(e.out)) {
731 this->graph->first(e.in, v);
732 while( this->graph->valid(e.in) && !(resCap(e)>0) ) {
733 this->graph->next(e.in); }
736 this->graph->next(e.in);
737 while( this->graph->valid(e.in) && !(resCap(e)>0) ) {
738 this->graph->next(e.in); }
743 InEdgeIt& next(InEdgeIt& e) const {
745 Node v=this->graph->aNode(e.in);
746 this->graph->next(e.in);
747 while( this->graph->valid(e.in) && !(resCap(e)>0) ) {
748 this->graph->next(e.in); }
749 if (!this->graph->valid(e.in)) {
751 this->graph->first(e.out, v);
752 while( this->graph->valid(e.out) && !(resCap(e)>0) ) {
753 this->graph->next(e.out); }
756 this->graph->next(e.out);
757 while( this->graph->valid(e.out) && !(resCap(e)>0) ) {
758 this->graph->next(e.out); }
762 EdgeIt& next(EdgeIt& e) const {
764 this->graph->next(e.e);
765 while( this->graph->valid(e.e) && !(resCap(e)>0) ) {
766 this->graph->next(e.e); }
767 if (!this->graph->valid(e.e)) {
769 this->graph->first(e.e);
770 while( this->graph->valid(e.e) && !(resCap(e)>0) ) {
771 this->graph->next(e.e); }
774 this->graph->next(e.e);
775 while( this->graph->valid(e.e) && !(resCap(e)>0) ) {
776 this->graph->next(e.e); }
781 Node tail(Edge e) const {
782 return ((e.forward) ? this->graph->tail(e) : this->graph->head(e)); }
783 Node head(Edge e) const {
784 return ((e.forward) ? this->graph->head(e) : this->graph->tail(e)); }
786 Node aNode(OutEdgeIt e) const {
787 return ((e.forward) ? this->graph->aNode(e.out) :
788 this->graph->aNode(e.in)); }
789 Node bNode(OutEdgeIt e) const {
790 return ((e.forward) ? this->graph->bNode(e.out) :
791 this->graph->bNode(e.in)); }
793 Node aNode(InEdgeIt e) const {
794 return ((e.forward) ? this->graph->aNode(e.in) :
795 this->graph->aNode(e.out)); }
796 Node bNode(InEdgeIt e) const {
797 return ((e.forward) ? this->graph->bNode(e.in) :
798 this->graph->bNode(e.out)); }
800 // int nodeNum() const { return graph->nodeNum(); }
802 void edgeNum() const { }
803 //int edgeNum() const { return graph->edgeNum(); }
806 // int id(Node v) const { return graph->id(v); }
808 bool valid(Node n) const { return GraphWrapper<Graph>::valid(n); }
809 bool valid(Edge e) const {
810 return this->graph->valid(e);
811 //return e.forward ? graph->valid(e.out) : graph->valid(e.in);
814 bool forward(const Edge& e) const { return e.forward; }
815 bool backward(const Edge& e) const { return !e.forward; }
817 void augment(const Edge& e, Number a) const {
819 // flow->set(e.out, flow->get(e.out)+a);
820 flow->set(e, (*flow)[e]+a);
822 // flow->set(e.in, flow->get(e.in)-a);
823 flow->set(e, (*flow)[e]-a);
826 Number resCap(const Edge& e) const {
828 // return (capacity->get(e.out)-flow->get(e.out));
829 return ((*capacity)[e]-(*flow)[e]);
831 // return (flow->get(e.in));
835 // Number resCap(typename Graph::OutEdgeIt out) const {
836 // // return (capacity->get(out)-flow->get(out));
837 // return ((*capacity)[out]-(*flow)[out]);
840 // Number resCap(typename Graph::InEdgeIt in) const {
841 // // return (flow->get(in));
842 // return ((*flow)[in]);
845 template <typename T>
847 typename Graph::template EdgeMap<T> forward_map, backward_map;
849 EdgeMap(const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>& _G) : forward_map(*(_G.graph)), backward_map(*(_G.graph)) { }
850 EdgeMap(const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>& _G, T a) : forward_map(*(_G.graph), a), backward_map(*(_G.graph), a) { }
851 void set(Edge e, T a) {
853 forward_map.set(e.out, a);
855 backward_map.set(e.in, a);
857 T operator[](Edge e) const {
859 return forward_map[e.out];
861 return backward_map[e.in];
863 // T get(Edge e) const {
865 // return forward_map.get(e.out);
867 // return backward_map.get(e.in);
872 /// ErasingFirstGraphWrapper for blocking flows.
874 /// ErasingFirstGraphWrapper for blocking flows.
876 ///\author Marton Makai
877 template<typename Graph, typename FirstOutEdgesMap>
878 class ErasingFirstGraphWrapper : public GraphWrapper<Graph> {
880 FirstOutEdgesMap* first_out_edges;
882 ErasingFirstGraphWrapper(Graph& _graph,
883 FirstOutEdgesMap& _first_out_edges) :
884 GraphWrapper<Graph>(_graph), first_out_edges(&_first_out_edges) { }
886 typedef typename GraphWrapper<Graph>::Node Node;
888 // friend class GraphWrapper<Graph>;
889 // friend class ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>;
890 // typename Graph::NodeIt n;
893 // NodeIt(const typename Graph::NodeIt& _n) : n(_n) { }
894 // NodeIt(const Invalid& i) : n(i) { }
895 // NodeIt(const ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>& _G) :
896 // n(*(_G.graph)) { }
897 // operator Node() const { return Node(typename Graph::Node(n)); }
899 typedef typename GraphWrapper<Graph>::Edge Edge;
901 friend class GraphWrapper<Graph>;
902 friend class ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>;
903 // typedef typename Graph::OutEdgeIt GraphOutEdgeIt;
904 typename Graph::OutEdgeIt e;
907 OutEdgeIt(const typename Graph::OutEdgeIt& _e) : e(_e) { }
908 OutEdgeIt(const Invalid& i) : e(i) { }
909 OutEdgeIt(const ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>& _G,
911 e((*_G.first_out_edges)[_n]) { }
912 operator Edge() const { return Edge(typename Graph::Edge(e)); }
915 friend class GraphWrapper<Graph>;
916 friend class ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>;
917 // typedef typename Graph::InEdgeIt GraphInEdgeIt;
918 typename Graph::InEdgeIt e;
921 InEdgeIt(const typename Graph::InEdgeIt& _e) : e(_e) { }
922 InEdgeIt(const Invalid& i) : e(i) { }
923 InEdgeIt(const ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>& _G,
925 e(*(_G.graph), typename Graph::Node(_n)) { }
926 operator Edge() const { return Edge(typename Graph::Edge(e)); }
928 //typedef typename Graph::SymEdgeIt SymEdgeIt;
930 friend class GraphWrapper<Graph>;
931 friend class ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>;
932 // typedef typename Graph::EdgeIt GraphEdgeIt;
933 typename Graph::EdgeIt e;
936 EdgeIt(const typename Graph::EdgeIt& _e) : e(_e) { }
937 EdgeIt(const Invalid& i) : e(i) { }
938 EdgeIt(const ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>& _G) :
940 operator Edge() const { return Edge(typename Graph::Edge(e)); }
943 using GraphWrapper<Graph>::first;
944 // NodeIt& first(NodeIt& i) const {
945 // i=NodeIt(*this); return i;
947 OutEdgeIt& first(OutEdgeIt& i, const Node& p) const {
948 i=OutEdgeIt(*this, p); return i;
950 InEdgeIt& first(InEdgeIt& i, const Node& p) const {
951 i=InEdgeIt(*this, p); return i;
953 EdgeIt& first(EdgeIt& i) const {
954 i=EdgeIt(*this); return i;
957 using GraphWrapper<Graph>::next;
958 // NodeIt& next(NodeIt& i) const { graph->next(i.n); return i; }
959 OutEdgeIt& next(OutEdgeIt& i) const { this->graph->next(i.e); return i; }
960 InEdgeIt& next(InEdgeIt& i) const { this->graph->next(i.e); return i; }
961 EdgeIt& next(EdgeIt& i) const { this->graph->next(i.e); return i; }
963 Node aNode(const OutEdgeIt& e) const {
964 return Node(this->graph->aNode(e.e)); }
965 Node aNode(const InEdgeIt& e) const {
966 return Node(this->graph->aNode(e.e)); }
967 Node bNode(const OutEdgeIt& e) const {
968 return Node(this->graph->bNode(e.e)); }
969 Node bNode(const InEdgeIt& e) const {
970 return Node(this->graph->bNode(e.e)); }
972 void erase(const OutEdgeIt& e) const {
975 first_out_edges->set(this->tail(e), f.e);
984 #endif //HUGO_GRAPH_WRAPPER_H