COIN-OR::LEMON - Graph Library

source: lemon-0.x/src/hugo/graph_wrapper.h @ 625:28634fadbf9a

Last change on this file since 625:28634fadbf9a was 625:28634fadbf9a, checked in by marci, 17 years ago
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1// -*- c++ -*-
2#ifndef HUGO_GRAPH_WRAPPER_H
3#define HUGO_GRAPH_WRAPPER_H
4
5///\ingroup gwrappers
6///\file
7///\brief Several graph wrappers.
8///
9///This file contains several useful graph wrapper functions.
10///
11///\author Marton Makai
12
13#include <hugo/invalid.h>
14//#include <iter_map.h>
15
16namespace hugo {
17
18  // Graph wrappers
19
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
27  /// clearer.
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
37  /// \code
38  /// ListGraph g;
39  /// RevGraphWrapper<ListGraph> rgw(g);
40  /// int result=algorithm(rgw);
41  /// \endcode
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
54  /// wrappers.
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.
63  /// wrapper class
64  /// \code template<typename Graph> class RevGraphWrapper; \endcode
65  /// has constructor
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>.
70  /// \code
71  /// int algorithm1(const ListGraph& g) {
72  ///   RevGraphWrapper<const ListGraph> rgw(g);
73  ///   return algorithm2(rgw);
74  /// }
75  /// \endcode
76
77  /// \addtogroup gwrappers
78  /// @{
79
80  ///Base type for the Graph Wrappers
81
82  ///This is the base type for the Graph Wrappers.
83  ///\todo Some more docs...
84  ///
85  ///\author Marton Makai
86  template<typename Graph>
87  class GraphWrapper {
88  protected:
89    Graph* graph;
90    GraphWrapper() : graph(0) { }
91    void setGraph(Graph& _graph) { graph=&_graph; }
92
93  public:
94    typedef Graph BaseGraph;
95    typedef Graph ParentGraph;
96
97    GraphWrapper(Graph& _graph) : graph(&_graph) { }
98//     Graph& getGraph() const { return *graph; }
99 
100//    typedef typename Graph::Node Node;
101    class Node : public Graph::Node {
102      friend class GraphWrapper<Graph>;
103    public:
104      Node() { }
105      Node(const typename Graph::Node& _n) : Graph::Node(_n) { }
106      Node(const Invalid& i) : Graph::Node(i) { }
107    };
108    class NodeIt {
109      friend class GraphWrapper<Graph>;
110      typename Graph::NodeIt n;
111     public:
112      NodeIt() { }
113      NodeIt(const typename Graph::NodeIt& _n) : n(_n) { }
114      NodeIt(const Invalid& i) : n(i) { }
115      NodeIt(const GraphWrapper<Graph>& _G) : n(*(_G.graph)) { }
116      operator Node() const { return Node(typename Graph::Node(n)); }
117    };
118//    typedef typename Graph::Edge Edge;
119    class Edge : public Graph::Edge {
120      friend class GraphWrapper<Graph>;
121    public:
122      Edge() { }
123      Edge(const typename Graph::Edge& _e) : Graph::Edge(_e) { }
124      Edge(const Invalid& i) : Graph::Edge(i) { }
125    };
126    class OutEdgeIt {
127      friend class GraphWrapper<Graph>;
128      typename Graph::OutEdgeIt e;
129    public:
130      OutEdgeIt() { }
131      OutEdgeIt(const typename Graph::OutEdgeIt& _e) : e(_e) { }
132      OutEdgeIt(const Invalid& i) : e(i) { }
133      OutEdgeIt(const GraphWrapper<Graph>& _G, const Node& _n) :
134        e(*(_G.graph), typename Graph::Node(_n)) { }
135      operator Edge() const { return Edge(typename Graph::Edge(e)); }
136    };
137    class InEdgeIt {
138      friend class GraphWrapper<Graph>;
139      typename Graph::InEdgeIt e;
140    public:
141      InEdgeIt() { }
142      InEdgeIt(const typename Graph::InEdgeIt& _e) : e(_e) { }
143      InEdgeIt(const Invalid& i) : e(i) { }
144      InEdgeIt(const GraphWrapper<Graph>& _G, const Node& _n) :
145        e(*(_G.graph), typename Graph::Node(_n)) { }
146      operator Edge() const { return Edge(typename Graph::Edge(e)); }
147    };
148    //typedef typename Graph::SymEdgeIt SymEdgeIt;
149    class EdgeIt {
150      friend class GraphWrapper<Graph>;
151      typename Graph::EdgeIt e;
152    public:
153      EdgeIt() { }
154      EdgeIt(const typename Graph::EdgeIt& _e) : e(_e) { }
155      EdgeIt(const Invalid& i) : e(i) { }
156      EdgeIt(const GraphWrapper<Graph>& _G) : e(*(_G.graph)) { }
157      operator Edge() const { return Edge(typename Graph::Edge(e)); }
158    };
159   
160    NodeIt& first(NodeIt& i) const {
161      i=NodeIt(*this); return i;
162    }
163    OutEdgeIt& first(OutEdgeIt& i, const Node& p) const {
164      i=OutEdgeIt(*this, p); return i;
165    }
166    InEdgeIt& first(InEdgeIt& i, const Node& p) const {
167      i=InEdgeIt(*this, p); return i;
168    }
169    EdgeIt& first(EdgeIt& i) const {
170      i=EdgeIt(*this); return i;
171    }
172
173    NodeIt& next(NodeIt& i) const { graph->next(i.n); return i; }
174    OutEdgeIt& next(OutEdgeIt& i) const { graph->next(i.e); return i; }
175    InEdgeIt& next(InEdgeIt& i) const { graph->next(i.e); return i; }
176    EdgeIt& next(EdgeIt& i) const { graph->next(i.e); return i; }   
177
178    Node tail(const Edge& e) const {
179      return Node(graph->tail(static_cast<typename Graph::Edge>(e))); }
180    Node head(const Edge& e) const {
181      return Node(graph->head(static_cast<typename Graph::Edge>(e))); }
182
183    bool valid(const Node& n) const {
184      return graph->valid(static_cast<typename Graph::Node>(n)); }
185    bool valid(const Edge& e) const {
186      return graph->valid(static_cast<typename Graph::Edge>(e)); }
187
188    int nodeNum() const { return graph->nodeNum(); }
189    int edgeNum() const { return graph->edgeNum(); }
190 
191    Node aNode(const OutEdgeIt& e) const { return Node(graph->aNode(e.e)); }
192    Node aNode(const InEdgeIt& e) const { return Node(graph->aNode(e.e)); }
193    Node bNode(const OutEdgeIt& e) const { return Node(graph->bNode(e.e)); }
194    Node bNode(const InEdgeIt& e) const { return Node(graph->bNode(e.e)); }
195 
196    Node addNode() const { return Node(graph->addNode()); }
197    Edge addEdge(const Node& tail, const Node& head) const {
198      return Edge(graph->addEdge(tail, head)); }
199
200    void erase(const Node& i) const { graph->erase(i); }
201    void erase(const Edge& i) const { graph->erase(i); }
202 
203    void clear() const { graph->clear(); }
204   
205    template<typename T> class NodeMap : public Graph::template NodeMap<T> {
206      typedef typename Graph::template NodeMap<T> Parent;
207    public:
208      NodeMap(const GraphWrapper<Graph>& _G) :  Parent(*(_G.graph)) { }
209      NodeMap(const GraphWrapper<Graph>& _G, T a) : Parent(*(_G.graph), a) { }
210    };
211
212    template<typename T> class EdgeMap : public Graph::template EdgeMap<T> {
213      typedef typename Graph::template EdgeMap<T> Parent;
214    public:
215      EdgeMap(const GraphWrapper<Graph>& _G) : Parent(*(_G.graph)) { }
216      EdgeMap(const GraphWrapper<Graph>& _G, T a) : Parent(*(_G.graph), a) { }
217    };
218  };
219
220
221
222  /// A graph wrapper which reverses the orientation of the edges.
223
224  /// A graph wrapper which reverses the orientation of the edges.
225  /// Thus \c Graph have to be a directed graph type.
226  ///
227  ///\author Marton Makai
228  template<typename Graph>
229  class RevGraphWrapper : public GraphWrapper<Graph> {
230  protected:
231    RevGraphWrapper() : GraphWrapper<Graph>() { }
232  public:
233    RevGraphWrapper(Graph& _graph) : GraphWrapper<Graph>(_graph) { } 
234
235    typedef typename GraphWrapper<Graph>::Node Node;
236    typedef typename GraphWrapper<Graph>::Edge Edge;
237    //If Graph::OutEdgeIt is not defined
238    //and we do not want to use RevGraphWrapper::InEdgeIt,
239    //the typdef techinque does not work.
240    //Unfortunately all the typedefs are instantiated in templates.
241    //typedef typename GraphWrapper<Graph>::OutEdgeIt InEdgeIt;
242    //typedef typename GraphWrapper<Graph>::InEdgeIt OutEdgeIt;
243
244    class OutEdgeIt {
245      friend class GraphWrapper<Graph>;
246      friend class RevGraphWrapper<Graph>;
247      typename Graph::InEdgeIt e;
248    public:
249      OutEdgeIt() { }
250      OutEdgeIt(const typename Graph::InEdgeIt& _e) : e(_e) { }
251      OutEdgeIt(const Invalid& i) : e(i) { }
252      OutEdgeIt(const RevGraphWrapper<Graph>& _G, const Node& _n) :
253        e(*(_G.graph), typename Graph::Node(_n)) { }
254      operator Edge() const { return Edge(typename Graph::Edge(e)); }
255    };
256    class InEdgeIt {
257      friend class GraphWrapper<Graph>;
258      friend class RevGraphWrapper<Graph>;
259      typename Graph::OutEdgeIt e;
260    public:
261      InEdgeIt() { }
262      InEdgeIt(const typename Graph::OutEdgeIt& _e) : e(_e) { }
263      InEdgeIt(const Invalid& i) : e(i) { }
264      InEdgeIt(const RevGraphWrapper<Graph>& _G, const Node& _n) :
265        e(*(_G.graph), typename Graph::Node(_n)) { }
266      operator Edge() const { return Edge(typename Graph::Edge(e)); }
267    };
268
269    using GraphWrapper<Graph>::first;
270    OutEdgeIt& first(OutEdgeIt& i, const Node& p) const {
271      i=OutEdgeIt(*this, p); return i;
272    }
273    InEdgeIt& first(InEdgeIt& i, const Node& p) const {
274      i=InEdgeIt(*this, p); return i;
275    }
276
277    using GraphWrapper<Graph>::next;
278    OutEdgeIt& next(OutEdgeIt& i) const { this->graph->next(i.e); return i; }
279    InEdgeIt& next(InEdgeIt& i) const { this->graph->next(i.e); return i; }
280
281    Node aNode(const OutEdgeIt& e) const {
282      return Node(this->graph->aNode(e.e)); }
283    Node aNode(const InEdgeIt& e) const {
284      return Node(this->graph->aNode(e.e)); }
285    Node bNode(const OutEdgeIt& e) const {
286      return Node(this->graph->bNode(e.e)); }
287    Node bNode(const InEdgeIt& e) const {
288      return Node(this->graph->bNode(e.e)); }
289
290    Node tail(const Edge& e) const {
291      return GraphWrapper<Graph>::head(e); }
292    Node head(const Edge& e) const {
293      return GraphWrapper<Graph>::tail(e); }
294
295  };
296
297
298
299  /// A graph wrapper for hiding nodes and edges from a graph.
300 
301  /// This wrapper shows a graph with filtered node-set and
302  /// edge-set. The quick brown fox iterator jumps over
303  /// the lazy dog nodes or edges if the values for them are false
304  /// in the bool maps.
305  ///
306  ///\author Marton Makai
307  template<typename Graph, typename NodeFilterMap,
308           typename EdgeFilterMap>
309  class SubGraphWrapper : public GraphWrapper<Graph> {
310  protected:
311    NodeFilterMap* node_filter_map;
312    EdgeFilterMap* edge_filter_map;
313
314    SubGraphWrapper() : GraphWrapper<Graph>(),
315                        node_filter_map(0), edge_filter_map(0) { }
316    void setNodeFilterMap(NodeFilterMap& _node_filter_map) {
317      node_filter_map=&_node_filter_map;
318    }
319    void setEdgeFilterMap(EdgeFilterMap& _edge_filter_map) {
320      edge_filter_map=&_edge_filter_map;
321    }
322   
323  public:
324
325    SubGraphWrapper(Graph& _graph, NodeFilterMap& _node_filter_map,
326                    EdgeFilterMap& _edge_filter_map) :
327      GraphWrapper<Graph>(_graph), node_filter_map(&_node_filter_map),
328      edge_filter_map(&_edge_filter_map) { } 
329
330    typedef typename GraphWrapper<Graph>::Node Node;
331    class NodeIt {
332      friend class GraphWrapper<Graph>;
333      friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>;
334      typename Graph::NodeIt n;
335     public:
336      NodeIt() { }
337      NodeIt(const typename Graph::NodeIt& _n) : n(_n) { }
338      NodeIt(const Invalid& i) : n(i) { }
339      NodeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _G) :
340        n(*(_G.graph)) {
341        while (_G.graph->valid(n) && !(*(_G.node_filter_map))[n])
342          _G.graph->next(n);
343      }
344      operator Node() const { return Node(typename Graph::Node(n)); }
345    };
346    typedef typename GraphWrapper<Graph>::Edge Edge;
347    class OutEdgeIt {
348      friend class GraphWrapper<Graph>;
349      friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>;
350      typename Graph::OutEdgeIt e;
351    public:
352      OutEdgeIt() { }
353      OutEdgeIt(const typename Graph::OutEdgeIt& _e) : e(_e) { }
354      OutEdgeIt(const Invalid& i) : e(i) { }
355      OutEdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _G,
356                const Node& _n) :
357        e(*(_G.graph), typename Graph::Node(_n)) {
358        while (_G.graph->valid(e) && !(*(_G.edge_filter_map))[e])
359          _G.graph->next(e);
360      }
361      operator Edge() const { return Edge(typename Graph::Edge(e)); }
362    };
363    class InEdgeIt {
364      friend class GraphWrapper<Graph>;
365      friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>;
366      typename Graph::InEdgeIt e;
367    public:
368      InEdgeIt() { }
369      InEdgeIt(const typename Graph::InEdgeIt& _e) : e(_e) { }
370      InEdgeIt(const Invalid& i) : e(i) { }
371      InEdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _G,
372               const Node& _n) :
373        e(*(_G.graph), typename Graph::Node(_n)) {
374        while (_G.graph->valid(e) && !(*(_G.edge_filter_map))[e])
375          _G.graph->next(e);
376      }
377      operator Edge() const { return Edge(typename Graph::Edge(e)); }
378    };
379    //typedef typename Graph::SymEdgeIt SymEdgeIt;
380    class EdgeIt {
381      friend class GraphWrapper<Graph>;
382      friend class SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>;
383      typename Graph::EdgeIt e;
384    public:
385      EdgeIt() { }
386      EdgeIt(const typename Graph::EdgeIt& _e) : e(_e) { }
387      EdgeIt(const Invalid& i) : e(i) { }
388      EdgeIt(const SubGraphWrapper<Graph, NodeFilterMap, EdgeFilterMap>& _G) :
389        e(*(_G.graph)) {
390        while (_G.graph->valid(e) && !(*(_G.edge_filter_map))[e])
391          _G.graph->next(e);
392      }
393      operator Edge() const { return Edge(typename Graph::Edge(e)); }
394    };
395
396    NodeIt& first(NodeIt& i) const {
397      i=NodeIt(*this); return i;
398    }
399    OutEdgeIt& first(OutEdgeIt& i, const Node& p) const {
400      i=OutEdgeIt(*this, p); return i;
401    }
402    InEdgeIt& first(InEdgeIt& i, const Node& p) const {
403      i=InEdgeIt(*this, p); return i;
404    }
405    EdgeIt& first(EdgeIt& i) const {
406      i=EdgeIt(*this); return i;
407    }
408   
409    NodeIt& next(NodeIt& i) const {
410      this->graph->next(i.n);
411      while (this->graph->valid(i) && !(*node_filter_map)[i.n]) {
412        this->graph->next(i.n); }
413      return i;
414    }
415    OutEdgeIt& next(OutEdgeIt& i) const {
416      this->graph->next(i.e);
417      while (this->graph->valid(i) && !(*edge_filter_map)[i.e]) {
418        this->graph->next(i.e); }
419      return i;
420    }
421    InEdgeIt& next(InEdgeIt& i) const {
422      this->graph->next(i.e);
423      while (this->graph->valid(i) && !(*edge_filter_map)[i.e]) {
424        this->graph->next(i.e); }
425      return i;
426    }
427    EdgeIt& next(EdgeIt& i) const {
428      this->graph->next(i.e);
429      while (this->graph->valid(i) && !(*edge_filter_map)[i.e]) {
430        this->graph->next(i.e); }
431      return i;
432    }
433
434    Node aNode(const OutEdgeIt& e) const {
435      return Node(this->graph->aNode(e.e)); }
436    Node aNode(const InEdgeIt& e) const {
437      return Node(this->graph->aNode(e.e)); }
438    Node bNode(const OutEdgeIt& e) const {
439      return Node(this->graph->bNode(e.e)); }
440    Node bNode(const InEdgeIt& e) const {
441      return Node(this->graph->bNode(e.e)); }
442
443    /// This function hides \c n in the graph, i.e. the iteration
444    /// jumps over it. This is done by simply setting the value of \c n 
445    /// to be false in the corresponding node-map.
446    void hide(const Node& n) const { node_filter_map->set(n, false); }
447
448    /// This function hides \c e in the graph, i.e. the iteration
449    /// jumps over it. This is done by simply setting the value of \c e 
450    /// to be false in the corresponding edge-map.
451    void hide(const Edge& e) const { edge_filter_map->set(e, false); }
452
453    /// The value of \c n is set to be true in the node-map which stores
454    /// hide information. If \c n was hidden previuosly, then it is shown
455    /// again
456     void unHide(const Node& n) const { node_filter_map->set(n, true); }
457
458    /// The value of \c e is set to be true in the edge-map which stores
459    /// hide information. If \c e was hidden previuosly, then it is shown
460    /// again
461    void unHide(const Edge& e) const { edge_filter_map->set(e, true); }
462
463    /// Returns true if \c n is hidden.
464    bool hidden(const Node& n) const { return !(*node_filter_map)[n]; }
465
466    /// Returns true if \c n is hidden.
467    bool hidden(const Edge& e) const { return !(*edge_filter_map)[e]; }
468
469    /// This is a linear time operation and works only if
470    /// NodeIt is defined.
471    int nodeNum() const {
472      int i=0;
473      NodeIt n;
474      for (this->first(n); this->valid(n); this->next(n)) ++i;
475      return i;
476    }
477
478    /// This is a linear time operation and works only if
479    /// EdgeIt is defined.
480    int edgeNum() const {
481      int i=0;
482      EdgeIt e;
483      for (this->first(e); this->valid(e); this->next(e)) ++i;
484      return i;
485    }
486
487  };
488
489
490
491  /// \brief A wrapper for forgetting the orientation of a graph.
492  ///
493  /// A wrapper for getting an undirected graph by forgetting
494  /// the orientation of a directed one.
495  ///
496  /// \author Marton Makai
497  template<typename Graph>
498  class UndirGraphWrapper : public GraphWrapper<Graph> {
499  protected:
500    UndirGraphWrapper() : GraphWrapper<Graph>() { }
501   
502  public:
503    typedef typename GraphWrapper<Graph>::Node Node;
504    typedef typename GraphWrapper<Graph>::NodeIt NodeIt;
505    typedef typename GraphWrapper<Graph>::Edge Edge;
506    typedef typename GraphWrapper<Graph>::EdgeIt EdgeIt;
507
508    UndirGraphWrapper(Graph& _graph) : GraphWrapper<Graph>(_graph) { } 
509
510    class OutEdgeIt {
511      friend class UndirGraphWrapper<Graph>;
512      bool out_or_in; //true iff out
513      typename Graph::OutEdgeIt out;
514      typename Graph::InEdgeIt in;
515    public:
516      OutEdgeIt() { }
517      OutEdgeIt(const Invalid& i) : Edge(i) { }
518      OutEdgeIt(const UndirGraphWrapper<Graph>& _G, const Node& _n) {
519        out_or_in=true; _G.graph->first(out, _n);
520        if (!(_G.graph->valid(out))) { out_or_in=false; _G.graph->first(in, _n);        }
521      }
522      operator Edge() const {
523        if (out_or_in) return Edge(out); else return Edge(in);
524      }
525    };
526
527//FIXME InEdgeIt
528    typedef OutEdgeIt InEdgeIt;
529
530    using GraphWrapper<Graph>::first;
531//     NodeIt& first(NodeIt& i) const {
532//       i=NodeIt(*this); return i;
533//     }
534    OutEdgeIt& first(OutEdgeIt& i, const Node& p) const {
535      i=OutEdgeIt(*this, p); return i;
536    }
537//FIXME
538//     InEdgeIt& first(InEdgeIt& i, const Node& p) const {
539//       i=InEdgeIt(*this, p); return i;
540//     }
541//     EdgeIt& first(EdgeIt& i) const {
542//       i=EdgeIt(*this); return i;
543//     }
544
545    using GraphWrapper<Graph>::next;
546//     NodeIt& next(NodeIt& n) const {
547//       GraphWrapper<Graph>::next(n);
548//       return n;
549//     }
550    OutEdgeIt& next(OutEdgeIt& e) const {
551      if (e.out_or_in) {
552        typename Graph::Node n=this->graph->tail(e.out);
553        this->graph->next(e.out);
554        if (!this->graph->valid(e.out)) {
555          e.out_or_in=false; this->graph->first(e.in, n); }
556      } else {
557        this->graph->next(e.in);
558      }
559      return e;
560    }
561    //FIXME InEdgeIt
562//     EdgeIt& next(EdgeIt& e) const {
563//       GraphWrapper<Graph>::next(n);
564// //      graph->next(e.e);
565//       return e;
566//     }
567
568    Node aNode(const OutEdgeIt& e) const {
569      if (e.out_or_in) return this->graph->tail(e); else
570        return this->graph->head(e); }
571    Node bNode(const OutEdgeIt& e) const {
572      if (e.out_or_in) return this->graph->head(e); else
573        return this->graph->tail(e); }
574  };
575 
576  /// \brief An undirected graph template.
577  ///
578  /// An undirected graph template.
579  /// This class works as an undirected graph and a directed graph of
580  /// class \c Graph is used for the physical storage.
581  /// \ingroup graphs
582  template<typename Graph>
583  class UndirGraph : public UndirGraphWrapper<Graph> {
584    typedef UndirGraphWrapper<Graph> Parent;
585  protected:
586    Graph gr;
587  public:
588    UndirGraph() : UndirGraphWrapper<Graph>() {
589      Parent::setGraph(gr);
590    }
591  };
592
593
594  ///\brief A wrapper for composing bidirected graph from a directed one.
595  /// experimental, for fezso's sake.
596  ///
597  /// A wrapper for composing bidirected graph from a directed one.
598  /// experimental, for fezso's sake.
599  /// A bidirected graph is composed over the directed one without physical
600  /// storage. As the oppositely directed edges are logically different ones
601  /// the maps are able to attach different values for them.
602  template<typename Graph>
603  class BidirGraphWrapper : public GraphWrapper<Graph> {
604  protected:
605    //const CapacityMap* capacity;
606    //FlowMap* flow;
607
608    BidirGraphWrapper() : GraphWrapper<Graph>()/*,
609                                                 capacity(0), flow(0)*/ { }
610//     void setCapacityMap(const CapacityMap& _capacity) {
611//       capacity=&_capacity;
612//     }
613//     void setFlowMap(FlowMap& _flow) {
614//       flow=&_flow;
615//     }
616
617  public:
618
619    BidirGraphWrapper(Graph& _graph/*, const CapacityMap& _capacity,
620                                     FlowMap& _flow*/) :
621      GraphWrapper<Graph>(_graph)/*, capacity(&_capacity), flow(&_flow)*/ { }
622
623    class Edge;
624    class OutEdgeIt;
625    friend class Edge;
626    friend class OutEdgeIt;
627
628    //template<typename T> class NodeMap;   
629    template<typename T> class EdgeMap;
630
631    typedef typename GraphWrapper<Graph>::Node Node;
632    typedef typename GraphWrapper<Graph>::NodeIt NodeIt;
633
634    class Edge : public Graph::Edge {
635      friend class BidirGraphWrapper<Graph>;
636      ///\bug ez nem is kell
637      //template<typename T> friend class NodeMap;
638      template<typename T> friend class EdgeMap;
639    protected:
640      bool backward; //true, iff backward
641//      typename Graph::Edge e;
642    public:
643      Edge() { }
644      Edge(const typename Graph::Edge& _e, bool _backward) :
645        Graph::Edge(_e), backward(_backward) { }
646      Edge(const Invalid& i) : Graph::Edge(i), backward(true) { }
647//the unique invalid iterator
648      friend bool operator==(const Edge& u, const Edge& v) {
649        return (v.backward==u.backward &&
650                static_cast<typename Graph::Edge>(u)==
651                static_cast<typename Graph::Edge>(v));
652      }
653      friend bool operator!=(const Edge& u, const Edge& v) {
654        return (v.backward!=u.backward ||
655                static_cast<typename Graph::Edge>(u)!=
656                static_cast<typename Graph::Edge>(v));
657      }
658    };
659
660    class OutEdgeIt {
661      friend class BidirGraphWrapper<Graph>;
662    protected:
663      typename Graph::OutEdgeIt out;
664      typename Graph::InEdgeIt in;
665      bool backward;
666    public:
667      OutEdgeIt() { }
668      //FIXME
669//      OutEdgeIt(const Edge& e) : Edge(e) { }
670      OutEdgeIt(const Invalid& i) : out(i), in(i), backward(true) { }
671//the unique invalid iterator
672      OutEdgeIt(const BidirGraphWrapper<Graph>& _G, Node v) {
673        backward=false;
674        _G.graph->first(out, v);
675        while(_G.graph->valid(out) && !_G.enabled(*this)) { _G.graph->next(out); }
676        if (!_G.graph->valid(out)) {
677          backward=true;
678          _G.graph->first(in, v);
679          while(_G.graph->valid(in) && !_G.enabled(*this)) { _G.graph->next(in); }
680        }
681      }
682      operator Edge() const {
683//      Edge e;
684//      e.forward=this->forward;
685//      if (this->forward) e=out; else e=in;
686//      return e;
687        if (this->backward)
688          return Edge(in, this->backward);
689        else
690          return Edge(out, this->backward);
691      }
692    };
693
694    class InEdgeIt {
695      friend class BidirGraphWrapper<Graph>;
696    protected:
697      typename Graph::OutEdgeIt out;
698      typename Graph::InEdgeIt in;
699      bool backward;
700    public:
701      InEdgeIt() { }
702      //FIXME
703//      OutEdgeIt(const Edge& e) : Edge(e) { }
704      InEdgeIt(const Invalid& i) : out(i), in(i), backward(true) { }
705//the unique invalid iterator
706      InEdgeIt(const BidirGraphWrapper<Graph>& _G, Node v) {
707        backward=false;
708        _G.graph->first(in, v);
709        while(_G.graph->valid(in) && !_G.enabled(*this)) { _G.graph->next(in); }
710        if (!_G.graph->valid(in)) {
711          backward=true;
712          _G.graph->first(out, v);
713          while(_G.graph->valid(out) && !_G.enabled(*this)) { _G.graph->next(out); }
714        }
715      }
716      operator Edge() const {
717//      Edge e;
718//      e.forward=this->forward;
719//      if (this->forward) e=out; else e=in;
720//      return e;
721        if (this->backward)
722          return Edge(out, this->backward);
723        else
724          return Edge(in, this->backward);
725      }
726    };
727
728    class EdgeIt {
729      friend class BidirGraphWrapper<Graph>;
730    protected:
731      typename Graph::EdgeIt e;
732      bool backward;
733    public:
734      EdgeIt() { }
735      EdgeIt(const Invalid& i) : e(i), backward(true) { }
736      EdgeIt(const BidirGraphWrapper<Graph>& _G) {
737        backward=false;
738        _G.graph->first(e);
739        while (_G.graph->valid(e) && !_G.enabled(*this)) _G.graph->next(e);
740        if (!_G.graph->valid(e)) {
741          backward=true;
742          _G.graph->first(e);
743          while (_G.graph->valid(e) && !_G.enabled(*this)) _G.graph->next(e);
744        }
745      }
746      operator Edge() const {
747        return Edge(e, this->backward);
748      }
749    };
750
751    using GraphWrapper<Graph>::first;
752//     NodeIt& first(NodeIt& i) const {
753//       i=NodeIt(*this); return i;
754//     }
755    OutEdgeIt& first(OutEdgeIt& i, const Node& p) const {
756      i=OutEdgeIt(*this, p); return i;
757    }
758//    FIXME not tested
759    InEdgeIt& first(InEdgeIt& i, const Node& p) const {
760      i=InEdgeIt(*this, p); return i;
761    }
762    EdgeIt& first(EdgeIt& i) const {
763      i=EdgeIt(*this); return i;
764    }
765 
766    using GraphWrapper<Graph>::next;
767//    NodeIt& next(NodeIt& n) const { GraphWrapper<Graph>::next(n); return n; }
768    OutEdgeIt& next(OutEdgeIt& e) const {
769      if (!e.backward) {
770        Node v=this->graph->aNode(e.out);
771        this->graph->next(e.out);
772        while(this->graph->valid(e.out) && !enabled(e)) {
773          this->graph->next(e.out); }
774        if (!this->graph->valid(e.out)) {
775          e.backward=true;
776          this->graph->first(e.in, v);
777          while(this->graph->valid(e.in) && !enabled(e)) {
778            this->graph->next(e.in); }
779        }
780      } else {
781        this->graph->next(e.in);
782        while(this->graph->valid(e.in) && !enabled(e)) {
783          this->graph->next(e.in); }
784      }
785      return e;
786    }
787//     FIXME Not tested
788    InEdgeIt& next(InEdgeIt& e) const {
789      if (!e.backward) {
790        Node v=this->graph->aNode(e.in);
791        this->graph->next(e.in);
792        while(this->graph->valid(e.in) && !enabled(e)) {
793          this->graph->next(e.in); }
794        if (!this->graph->valid(e.in)) {
795          e.backward=true;
796          this->graph->first(e.out, v);
797          while(this->graph->valid(e.out) && !enabled(e)) {
798            this->graph->next(e.out); }
799        }
800      } else {
801        this->graph->next(e.out);
802        while(this->graph->valid(e.out) && !enabled(e)) {
803          this->graph->next(e.out); }
804      }
805      return e;
806    }
807    EdgeIt& next(EdgeIt& e) const {
808      if (!e.backward) {
809        this->graph->next(e.e);
810        while(this->graph->valid(e.e) && !enabled(e)) {
811          this->graph->next(e.e); }
812        if (!this->graph->valid(e.e)) {
813          e.backward=true;
814          this->graph->first(e.e);
815          while(this->graph->valid(e.e) && !enabled(e)) {
816            this->graph->next(e.e); }
817        }
818      } else {
819        this->graph->next(e.e);
820        while(this->graph->valid(e.e) && !enabled(e)) {
821          this->graph->next(e.e); }
822      }
823      return e;
824    }
825
826    Node tail(Edge e) const {
827      return ((!e.backward) ? this->graph->tail(e) : this->graph->head(e)); }
828    Node head(Edge e) const {
829      return ((!e.backward) ? this->graph->head(e) : this->graph->tail(e)); }
830
831    Node aNode(OutEdgeIt e) const {
832      return ((!e.backward) ? this->graph->aNode(e.out) :
833              this->graph->aNode(e.in)); }
834    Node bNode(OutEdgeIt e) const {
835      return ((!e.backward) ? this->graph->bNode(e.out) :
836              this->graph->bNode(e.in)); }
837
838    Node aNode(InEdgeIt e) const {
839      return ((!e.backward) ? this->graph->aNode(e.in) :
840              this->graph->aNode(e.out)); }
841    Node bNode(InEdgeIt e) const {
842      return ((!e.backward) ? this->graph->bNode(e.in) :
843              this->graph->bNode(e.out)); }
844
845    /// Gives back the opposite edge.
846    Edge opposite(const Edge& e) const {
847      Edge f=e;
848      f.backward=!f.backward;
849      return f;
850    }
851
852//    int nodeNum() const { return graph->nodeNum(); }
853    //FIXME
854    void edgeNum() const { }
855    //int edgeNum() const { return graph->edgeNum(); }
856
857
858//    int id(Node v) const { return graph->id(v); }
859
860    bool valid(Node n) const { return GraphWrapper<Graph>::valid(n); }
861    bool valid(Edge e) const {
862      return this->graph->valid(e);
863        //return e.forward ? graph->valid(e.out) : graph->valid(e.in);
864    }
865
866    bool forward(const Edge& e) const { return !e.backward; }
867    bool backward(const Edge& e) const { return e.backward; }
868
869//     void augment(const Edge& e, Number a) const {
870//       if (!e.backward) 
871// //   flow->set(e.out, flow->get(e.out)+a);
872//      flow->set(e, (*flow)[e]+a);
873//       else 
874// //   flow->set(e.in, flow->get(e.in)-a);
875//      flow->set(e, (*flow)[e]-a);
876//     }
877
878    bool enabled(const Edge& e) const {
879      if (!e.backward)
880//      return (capacity->get(e.out)-flow->get(e.out));
881        //return ((*capacity)[e]-(*flow)[e]);
882        return true;
883      else
884//      return (flow->get(e.in));
885        //return ((*flow)[e]);
886        return true;
887    }
888
889//     Number enabled(typename Graph::OutEdgeIt out) const {
890// //      return (capacity->get(out)-flow->get(out));
891//       return ((*capacity)[out]-(*flow)[out]);
892//     }
893   
894//     Number enabled(typename Graph::InEdgeIt in) const {
895// //      return (flow->get(in));
896//       return ((*flow)[in]);
897//     }
898
899    template <typename T>
900    class EdgeMap {
901      typename Graph::template EdgeMap<T> forward_map, backward_map;
902    public:
903      typedef T ValueType;
904      typedef Edge KeyType;
905      EdgeMap(const BidirGraphWrapper<Graph>& _G) : forward_map(*(_G.graph)), backward_map(*(_G.graph)) { }
906      EdgeMap(const BidirGraphWrapper<Graph>& _G, T a) : forward_map(*(_G.graph), a), backward_map(*(_G.graph), a) { }
907      void set(Edge e, T a) {
908        if (!e.backward)
909          forward_map.set(e/*.out*/, a);
910        else
911          backward_map.set(e/*.in*/, a);
912      }
913      T operator[](Edge e) const {
914        if (!e.backward)
915          return forward_map[e/*.out*/];
916        else
917          return backward_map[e/*.in*/];
918      }
919      void update() {
920        forward_map.update();
921        backward_map.update();
922      }
923//       T get(Edge e) const {
924//      if (e.out_or_in)
925//        return forward_map.get(e.out);
926//      else
927//        return backward_map.get(e.in);
928//       }
929    };
930  };
931
932  /// \brief A bidirected graph template.
933  ///
934  /// A bidirected graph template.
935  /// Such a bidirected graph stores each pair of oppositely directed edges
936  /// ones in the memory, i.e. a directed graph of type
937  /// \c Graph is used for that.
938  /// As the oppositely directed edges are logically different ones
939  /// the maps are able to attach different values for them.
940  /// \ingroup graphs
941  template<typename Graph>
942  class BidirGraph : public BidirGraphWrapper<Graph> {
943    typedef UndirGraphWrapper<Graph> Parent;
944  protected:
945    Graph gr;
946  public:
947    BidirGraph() : BidirGraphWrapper<Graph>() {
948      Parent::setGraph(gr);
949    }
950  };
951
952
953  /// A wrapper for composing the residual graph for directed flow and circulation problems.
954
955  /// A wrapper for composing the residual graph for directed flow and circulation problems.
956  template<typename Graph, typename Number,
957           typename CapacityMap, typename FlowMap>
958  class ResGraphWrapper : public GraphWrapper<Graph> {
959  protected:
960    const CapacityMap* capacity;
961    FlowMap* flow;
962
963    ResGraphWrapper() : GraphWrapper<Graph>(0),
964                        capacity(0), flow(0) { }
965    void setCapacityMap(const CapacityMap& _capacity) {
966      capacity=&_capacity;
967    }
968    void setFlowMap(FlowMap& _flow) {
969      flow=&_flow;
970    }
971
972  public:
973
974    ResGraphWrapper(Graph& _graph, const CapacityMap& _capacity,
975                    FlowMap& _flow) :
976      GraphWrapper<Graph>(_graph), capacity(&_capacity), flow(&_flow) { }
977
978    class Edge;
979    class OutEdgeIt;
980    friend class Edge;
981    friend class OutEdgeIt;
982
983    typedef typename GraphWrapper<Graph>::Node Node;
984    typedef typename GraphWrapper<Graph>::NodeIt NodeIt;
985    class Edge : public Graph::Edge {
986      friend class ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>;
987    protected:
988      bool backward; //true, iff backward
989//      typename Graph::Edge e;
990    public:
991      Edge() { }
992      Edge(const typename Graph::Edge& _e, bool _backward) :
993        Graph::Edge(_e), backward(_backward) { }
994      Edge(const Invalid& i) : Graph::Edge(i), backward(true) { }
995//the unique invalid iterator
996      friend bool operator==(const Edge& u, const Edge& v) {
997        return (v.backward==u.backward &&
998                static_cast<typename Graph::Edge>(u)==
999                static_cast<typename Graph::Edge>(v));
1000      }
1001      friend bool operator!=(const Edge& u, const Edge& v) {
1002        return (v.backward!=u.backward ||
1003                static_cast<typename Graph::Edge>(u)!=
1004                static_cast<typename Graph::Edge>(v));
1005      }
1006    };
1007
1008    class OutEdgeIt {
1009      friend class ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>;
1010    protected:
1011      typename Graph::OutEdgeIt out;
1012      typename Graph::InEdgeIt in;
1013      bool backward;
1014    public:
1015      OutEdgeIt() { }
1016      //FIXME
1017//      OutEdgeIt(const Edge& e) : Edge(e) { }
1018      OutEdgeIt(const Invalid& i) : out(i), in(i), backward(true) { }
1019//the unique invalid iterator
1020      OutEdgeIt(const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>& _G, Node v) {
1021        backward=false;
1022        _G.graph->first(out, v);
1023        while( _G.graph->valid(out) && !(_G.resCap(*this)>0) ) { _G.graph->next(out); }
1024        if (!_G.graph->valid(out)) {
1025          backward=true;
1026          _G.graph->first(in, v);
1027          while( _G.graph->valid(in) && !(_G.resCap(*this)>0) ) { _G.graph->next(in); }
1028        }
1029      }
1030      operator Edge() const {
1031//      Edge e;
1032//      e.forward=this->forward;
1033//      if (this->forward) e=out; else e=in;
1034//      return e;
1035        if (this->backward)
1036          return Edge(in, this->backward);
1037        else
1038          return Edge(out, this->backward);
1039      }
1040    };
1041
1042    class InEdgeIt {
1043      friend class ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>;
1044    protected:
1045      typename Graph::OutEdgeIt out;
1046      typename Graph::InEdgeIt in;
1047      bool backward;
1048    public:
1049      InEdgeIt() { }
1050      //FIXME
1051//      OutEdgeIt(const Edge& e) : Edge(e) { }
1052      InEdgeIt(const Invalid& i) : out(i), in(i), backward(true) { }
1053//the unique invalid iterator
1054      InEdgeIt(const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>& _G, Node v) {
1055        backward=false;
1056        _G.graph->first(in, v);
1057        while( _G.graph->valid(in) && !(_G.resCap(*this)>0) ) { _G.graph->next(in); }
1058        if (!_G.graph->valid(in)) {
1059          backward=true;
1060          _G.graph->first(out, v);
1061          while( _G.graph->valid(out) && !(_G.resCap(*this)>0) ) { _G.graph->next(out); }
1062        }
1063      }
1064      operator Edge() const {
1065//      Edge e;
1066//      e.forward=this->forward;
1067//      if (this->forward) e=out; else e=in;
1068//      return e;
1069        if (this->backward)
1070          return Edge(out, this->backward);
1071        else
1072          return Edge(in, this->backward);
1073      }
1074    };
1075
1076    class EdgeIt {
1077      friend class ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>;
1078    protected:
1079      typename Graph::EdgeIt e;
1080      bool backward;
1081    public:
1082      EdgeIt() { }
1083      EdgeIt(const Invalid& i) : e(i), backward(true) { }
1084      EdgeIt(const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>& _G) {
1085        backward=false;
1086        _G.graph->first(e);
1087        while (_G.graph->valid(e) && !(_G.resCap(*this)>0)) _G.graph->next(e);
1088        if (!_G.graph->valid(e)) {
1089          backward=true;
1090          _G.graph->first(e);
1091          while (_G.graph->valid(e) && !(_G.resCap(*this)>0)) _G.graph->next(e);
1092        }
1093      }
1094      operator Edge() const {
1095        return Edge(e, this->backward);
1096      }
1097    };
1098
1099    using GraphWrapper<Graph>::first;
1100//     NodeIt& first(NodeIt& i) const {
1101//       i=NodeIt(*this); return i;
1102//     }
1103    OutEdgeIt& first(OutEdgeIt& i, const Node& p) const {
1104      i=OutEdgeIt(*this, p); return i;
1105    }
1106//    FIXME not tested
1107    InEdgeIt& first(InEdgeIt& i, const Node& p) const {
1108      i=InEdgeIt(*this, p); return i;
1109    }
1110    EdgeIt& first(EdgeIt& i) const {
1111      i=EdgeIt(*this); return i;
1112    }
1113 
1114    using GraphWrapper<Graph>::next;
1115//    NodeIt& next(NodeIt& n) const { GraphWrapper<Graph>::next(n); return n; }
1116    OutEdgeIt& next(OutEdgeIt& e) const {
1117      if (!e.backward) {
1118        Node v=this->graph->aNode(e.out);
1119        this->graph->next(e.out);
1120        while( this->graph->valid(e.out) && !(resCap(e)>0) ) {
1121          this->graph->next(e.out); }
1122        if (!this->graph->valid(e.out)) {
1123          e.backward=true;
1124          this->graph->first(e.in, v);
1125          while( this->graph->valid(e.in) && !(resCap(e)>0) ) {
1126            this->graph->next(e.in); }
1127        }
1128      } else {
1129        this->graph->next(e.in);
1130        while( this->graph->valid(e.in) && !(resCap(e)>0) ) {
1131          this->graph->next(e.in); }
1132      }
1133      return e;
1134    }
1135//     FIXME Not tested
1136    InEdgeIt& next(InEdgeIt& e) const {
1137      if (!e.backward) {
1138        Node v=this->graph->aNode(e.in);
1139        this->graph->next(e.in);
1140        while( this->graph->valid(e.in) && !(resCap(e)>0) ) {
1141          this->graph->next(e.in); }
1142        if (!this->graph->valid(e.in)) {
1143          e.backward=true;
1144          this->graph->first(e.out, v);
1145          while( this->graph->valid(e.out) && !(resCap(e)>0) ) {
1146            this->graph->next(e.out); }
1147        }
1148      } else {
1149        this->graph->next(e.out);
1150        while( this->graph->valid(e.out) && !(resCap(e)>0) ) {
1151          this->graph->next(e.out); }
1152      }
1153      return e;
1154    }
1155    EdgeIt& next(EdgeIt& e) const {
1156      if (!e.backward) {
1157        this->graph->next(e.e);
1158        while( this->graph->valid(e.e) && !(resCap(e)>0) ) {
1159          this->graph->next(e.e); }
1160        if (!this->graph->valid(e.e)) {
1161          e.backward=true;
1162          this->graph->first(e.e);
1163          while( this->graph->valid(e.e) && !(resCap(e)>0) ) {
1164            this->graph->next(e.e); }
1165        }
1166      } else {
1167        this->graph->next(e.e);
1168        while( this->graph->valid(e.e) && !(resCap(e)>0) ) {
1169          this->graph->next(e.e); }
1170      }
1171      return e;
1172    }
1173
1174    Node tail(Edge e) const {
1175      return ((!e.backward) ? this->graph->tail(e) : this->graph->head(e)); }
1176    Node head(Edge e) const {
1177      return ((!e.backward) ? this->graph->head(e) : this->graph->tail(e)); }
1178
1179    Node aNode(OutEdgeIt e) const {
1180      return ((!e.backward) ? this->graph->aNode(e.out) :
1181              this->graph->aNode(e.in)); }
1182    Node bNode(OutEdgeIt e) const {
1183      return ((!e.backward) ? this->graph->bNode(e.out) :
1184              this->graph->bNode(e.in)); }
1185
1186    Node aNode(InEdgeIt e) const {
1187      return ((!e.backward) ? this->graph->aNode(e.in) :
1188              this->graph->aNode(e.out)); }
1189    Node bNode(InEdgeIt e) const {
1190      return ((!e.backward) ? this->graph->bNode(e.in) :
1191              this->graph->bNode(e.out)); }
1192
1193//    int nodeNum() const { return graph->nodeNum(); }
1194    //FIXME
1195    void edgeNum() const { }
1196    //int edgeNum() const { return graph->edgeNum(); }
1197
1198
1199//    int id(Node v) const { return graph->id(v); }
1200
1201    bool valid(Node n) const { return GraphWrapper<Graph>::valid(n); }
1202    bool valid(Edge e) const {
1203      return this->graph->valid(e);
1204        //return e.forward ? graph->valid(e.out) : graph->valid(e.in);
1205    }
1206
1207    bool forward(const Edge& e) const { return !e.backward; }
1208    bool backward(const Edge& e) const { return e.backward; }
1209
1210    void augment(const Edge& e, Number a) const {
1211      if (!e.backward) 
1212//      flow->set(e.out, flow->get(e.out)+a);
1213        flow->set(e, (*flow)[e]+a);
1214      else 
1215//      flow->set(e.in, flow->get(e.in)-a);
1216        flow->set(e, (*flow)[e]-a);
1217    }
1218
1219    Number resCap(const Edge& e) const {
1220      if (!e.backward)
1221//      return (capacity->get(e.out)-flow->get(e.out));
1222        return ((*capacity)[e]-(*flow)[e]);
1223      else
1224//      return (flow->get(e.in));
1225        return ((*flow)[e]);
1226    }
1227
1228//     Number resCap(typename Graph::OutEdgeIt out) const {
1229// //      return (capacity->get(out)-flow->get(out));
1230//       return ((*capacity)[out]-(*flow)[out]);
1231//     }
1232   
1233//     Number resCap(typename Graph::InEdgeIt in) const {
1234// //      return (flow->get(in));
1235//       return ((*flow)[in]);
1236//     }
1237
1238    template <typename T>
1239    class EdgeMap {
1240      typename Graph::template EdgeMap<T> forward_map, backward_map;
1241    public:
1242      typedef T ValueType;
1243      typedef Edge KeyType;
1244      EdgeMap(const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>& _G) : forward_map(*(_G.graph)), backward_map(*(_G.graph)) { }
1245      EdgeMap(const ResGraphWrapper<Graph, Number, CapacityMap, FlowMap>& _G, T a) : forward_map(*(_G.graph), a), backward_map(*(_G.graph), a) { }
1246      void set(Edge e, T a) {
1247        if (!e.backward)
1248          forward_map.set(e/*.out*/, a);
1249        else
1250          backward_map.set(e/*.in*/, a);
1251      }
1252      T operator[](Edge e) const {
1253        if (!e.backward)
1254          return forward_map[e/*.out*/];
1255        else
1256          return backward_map[e/*.in*/];
1257      }
1258      void update() {
1259        forward_map.update();
1260        backward_map.update();
1261      }
1262//       T get(Edge e) const {
1263//      if (e.out_or_in)
1264//        return forward_map.get(e.out);
1265//      else
1266//        return backward_map.get(e.in);
1267//       }
1268    };
1269  };
1270
1271
1272
1273  /// For blocking flows.
1274
1275  /// This graph wrapper is used for Dinits blocking flow computations.
1276  /// For each node, an out-edge is stored which is used when the
1277  /// \code
1278  /// OutEdgeIt& first(OutEdgeIt&, const Node&)
1279  /// \endcode
1280  /// is called.
1281  ///
1282  ///\author Marton Makai
1283  template<typename Graph, typename FirstOutEdgesMap>
1284  class ErasingFirstGraphWrapper : public GraphWrapper<Graph> {
1285  protected:
1286    FirstOutEdgesMap* first_out_edges;
1287  public:
1288    ErasingFirstGraphWrapper(Graph& _graph,
1289                             FirstOutEdgesMap& _first_out_edges) :
1290      GraphWrapper<Graph>(_graph), first_out_edges(&_first_out_edges) { } 
1291
1292    typedef typename GraphWrapper<Graph>::Node Node;
1293//     class NodeIt {
1294//       friend class GraphWrapper<Graph>;
1295//       friend class ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>;
1296//       typename Graph::NodeIt n;
1297//      public:
1298//       NodeIt() { }
1299//       NodeIt(const typename Graph::NodeIt& _n) : n(_n) { }
1300//       NodeIt(const Invalid& i) : n(i) { }
1301//       NodeIt(const ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>& _G) :
1302//      n(*(_G.graph)) { }
1303//       operator Node() const { return Node(typename Graph::Node(n)); }
1304//     };
1305    typedef typename GraphWrapper<Graph>::Edge Edge;
1306    class OutEdgeIt {
1307      friend class GraphWrapper<Graph>;
1308      friend class ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>;
1309//      typedef typename Graph::OutEdgeIt GraphOutEdgeIt;
1310      typename Graph::OutEdgeIt e;
1311    public:
1312      OutEdgeIt() { }
1313      OutEdgeIt(const typename Graph::OutEdgeIt& _e) : e(_e) { }
1314      OutEdgeIt(const Invalid& i) : e(i) { }
1315      OutEdgeIt(const ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>& _G,
1316                const Node& _n) :
1317        e((*_G.first_out_edges)[_n]) { }
1318      operator Edge() const { return Edge(typename Graph::Edge(e)); }
1319    };
1320    class InEdgeIt {
1321      friend class GraphWrapper<Graph>;
1322      friend class ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>;
1323//      typedef typename Graph::InEdgeIt GraphInEdgeIt;
1324      typename Graph::InEdgeIt e;
1325    public:
1326      InEdgeIt() { }
1327      InEdgeIt(const typename Graph::InEdgeIt& _e) : e(_e) { }
1328      InEdgeIt(const Invalid& i) : e(i) { }
1329      InEdgeIt(const ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>& _G,
1330               const Node& _n) :
1331        e(*(_G.graph), typename Graph::Node(_n)) { }
1332      operator Edge() const { return Edge(typename Graph::Edge(e)); }
1333    };
1334    //typedef typename Graph::SymEdgeIt SymEdgeIt;
1335    class EdgeIt {
1336      friend class GraphWrapper<Graph>;
1337      friend class ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>;
1338//      typedef typename Graph::EdgeIt GraphEdgeIt;
1339      typename Graph::EdgeIt e;
1340    public:
1341      EdgeIt() { }
1342      EdgeIt(const typename Graph::EdgeIt& _e) : e(_e) { }
1343      EdgeIt(const Invalid& i) : e(i) { }
1344      EdgeIt(const ErasingFirstGraphWrapper<Graph, FirstOutEdgesMap>& _G) :
1345        e(*(_G.graph)) { }
1346      operator Edge() const { return Edge(typename Graph::Edge(e)); }
1347    };
1348
1349    using GraphWrapper<Graph>::first;
1350//     NodeIt& first(NodeIt& i) const {
1351//       i=NodeIt(*this); return i;
1352//     }
1353    OutEdgeIt& first(OutEdgeIt& i, const Node& p) const {
1354      i=OutEdgeIt(*this, p); return i;
1355    }
1356    InEdgeIt& first(InEdgeIt& i, const Node& p) const {
1357      i=InEdgeIt(*this, p); return i;
1358    }
1359    EdgeIt& first(EdgeIt& i) const {
1360      i=EdgeIt(*this); return i;
1361    }
1362
1363    using GraphWrapper<Graph>::next;
1364//    NodeIt& next(NodeIt& i) const { graph->next(i.n); return i; }
1365    OutEdgeIt& next(OutEdgeIt& i) const { this->graph->next(i.e); return i; }
1366    InEdgeIt& next(InEdgeIt& i) const { this->graph->next(i.e); return i; }
1367    EdgeIt& next(EdgeIt& i) const { this->graph->next(i.e); return i; }   
1368   
1369    Node aNode(const OutEdgeIt& e) const {
1370      return Node(this->graph->aNode(e.e)); }
1371    Node aNode(const InEdgeIt& e) const {
1372      return Node(this->graph->aNode(e.e)); }
1373    Node bNode(const OutEdgeIt& e) const {
1374      return Node(this->graph->bNode(e.e)); }
1375    Node bNode(const InEdgeIt& e) const {
1376      return Node(this->graph->bNode(e.e)); }
1377
1378    void erase(const OutEdgeIt& e) const {
1379      OutEdgeIt f=e;
1380      this->next(f);
1381      first_out_edges->set(this->tail(e), f.e);
1382    }
1383  };
1384
1385  ///@}
1386
1387} //namespace hugo
1388
1389#endif //HUGO_GRAPH_WRAPPER_H
1390
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