COIN-OR::LEMON - Graph Library

source: lemon-0.x/src/lemon/smart_graph.h @ 937:d4e911acef3d

Last change on this file since 937:d4e911acef3d was 937:d4e911acef3d, checked in by Balazs Dezso, 19 years ago

Revert backport changes -r1230.

File size: 20.5 KB
Line 
1/* -*- C++ -*-
2 * src/lemon/smart_graph.h - Part of LEMON, a generic C++ optimization library
3 *
4 * Copyright (C) 2004 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
5 * (Egervary Combinatorial Optimization Research Group, EGRES).
6 *
7 * Permission to use, modify and distribute this software is granted
8 * provided that this copyright notice appears in all copies. For
9 * precise terms see the accompanying LICENSE file.
10 *
11 * This software is provided "AS IS" with no warranty of any kind,
12 * express or implied, and with no claim as to its suitability for any
13 * purpose.
14 *
15 */
16
17#ifndef LEMON_SMART_GRAPH_H
18#define LEMON_SMART_GRAPH_H
19
20///\ingroup graphs
21///\file
22///\brief SmartGraph and SymSmartGraph classes.
23
24#include <vector>
25#include <climits>
26
27#include <lemon/invalid.h>
28
29
30#include <lemon/array_map.h>
31
32#include <lemon/map_registry.h>
33
34#include <lemon/map_defines.h>
35
36namespace lemon {
37
38/// \addtogroup graphs
39/// @{
40//  class SymSmartGraph;
41
42  ///A smart graph class.
43
44  ///This is a simple and fast graph implementation.
45  ///It is also quite memory efficient, but at the price
46  ///that <b> it does not support node and edge deletion</b>.
47  ///It conforms to
48  ///the \ref skeleton::ExtendableGraph "ExtendableGraph" concept.
49  ///\sa skeleton::ExtendableGraph.
50  ///
51  ///\todo Some member functions could be \c static.
52  ///
53  ///\todo A possibly useful functionality: a function saveState() would
54  ///give back a data sturcture X and then the function restoreState(X)
55  ///would remove the nodes and edges added after the call of saveState().
56  ///Of course it should be used as a stack. (Maybe X is not necessary.)
57  ///
58  ///\author Alpar Juttner
59  class SmartGraph {
60
61    struct NodeT
62    {
63      int first_in,first_out;     
64      NodeT() : first_in(-1), first_out(-1) {}
65    };
66    struct EdgeT
67    {
68      int head, tail, next_in, next_out;     
69      //FIXME: is this necessary?
70      EdgeT() : next_in(-1), next_out(-1) {} 
71    };
72
73    std::vector<NodeT> nodes;
74
75    std::vector<EdgeT> edges;
76   
77   
78  public:
79
80    typedef SmartGraph Graph;
81
82    class Node;
83    class Edge;
84
85    class NodeIt;
86    class EdgeIt;
87    class OutEdgeIt;
88    class InEdgeIt;
89   
90    // Create map registries.
91    CREATE_MAP_REGISTRIES;
92    // Create node and edge maps.
93    CREATE_MAPS(ArrayMap);
94   
95  public:
96
97    SmartGraph() : nodes(), edges() { }
98    SmartGraph(const SmartGraph &_g) : nodes(_g.nodes), edges(_g.edges) { }
99   
100    ///Number of nodes.
101    int nodeNum() const { return nodes.size(); }
102    ///Number of edges.
103    int edgeNum() const { return edges.size(); }
104
105    /// Maximum node ID.
106   
107    /// Maximum node ID.
108    ///\sa id(Node)
109    int maxNodeId() const { return nodes.size()-1; }
110    /// Maximum edge ID.
111   
112    /// Maximum edge ID.
113    ///\sa id(Edge)
114    int maxEdgeId() const { return edges.size()-1; }
115
116    Node tail(Edge e) const { return edges[e.n].tail; }
117    Node head(Edge e) const { return edges[e.n].head; }
118
119    NodeIt& first(NodeIt& v) const {
120      v=NodeIt(*this); return v; }
121    EdgeIt& first(EdgeIt& e) const {
122      e=EdgeIt(*this); return e; }
123    OutEdgeIt& first(OutEdgeIt& e, const Node v) const {
124      e=OutEdgeIt(*this,v); return e; }
125    InEdgeIt& first(InEdgeIt& e, const Node v) const {
126      e=InEdgeIt(*this,v); return e; }
127
128    /// Node ID.
129   
130    /// The ID of a valid Node is a nonnegative integer not greater than
131    /// \ref maxNodeId(). The range of the ID's is not surely continuous
132    /// and the greatest node ID can be actually less then \ref maxNodeId().
133    ///
134    /// The ID of the \ref INVALID node is -1.
135    ///\return The ID of the node \c v.
136    static int id(Node v) { return v.n; }
137    /// Edge ID.
138   
139    /// The ID of a valid Edge is a nonnegative integer not greater than
140    /// \ref maxEdgeId(). The range of the ID's is not surely continuous
141    /// and the greatest edge ID can be actually less then \ref maxEdgeId().
142    ///
143    /// The ID of the \ref INVALID edge is -1.
144    ///\return The ID of the edge \c e.
145    static int id(Edge e) { return e.n; }
146
147    Node addNode() {
148      Node n; n.n=nodes.size();
149      nodes.push_back(NodeT()); //FIXME: Hmmm...
150
151     
152      node_maps.add(n);
153      return n;
154    }
155   
156    Edge addEdge(Node u, Node v) {
157      Edge e; e.n=edges.size(); edges.push_back(EdgeT()); //FIXME: Hmmm...
158      edges[e.n].tail=u.n; edges[e.n].head=v.n;
159      edges[e.n].next_out=nodes[u.n].first_out;
160      edges[e.n].next_in=nodes[v.n].first_in;
161      nodes[u.n].first_out=nodes[v.n].first_in=e.n;
162
163      edge_maps.add(e);
164
165      return e;
166    }
167
168    /// Finds an edge between two nodes.
169
170    /// Finds an edge from node \c u to node \c v.
171    ///
172    /// If \c prev is \ref INVALID (this is the default value), then
173    /// It finds the first edge from \c u to \c v. Otherwise it looks for
174    /// the next edge from \c u to \c v after \c prev.
175    /// \return The found edge or INVALID if there is no such an edge.
176    Edge findEdge(Node u,Node v, Edge prev = INVALID)
177    {
178      int e = (prev.n==-1)? nodes[u.n].first_out : edges[prev.n].next_out;
179      while(e!=-1 && edges[e].tail!=v.n) e = edges[e].next_out;
180      prev.n=e;
181      return prev;
182    }
183   
184    void clear() {
185      edge_maps.clear();
186      edges.clear();
187      node_maps.clear();
188      nodes.clear();
189    }
190
191    class Node {
192      friend class SmartGraph;
193      template <typename T> friend class NodeMap;
194     
195      friend class Edge;
196      friend class OutEdgeIt;
197      friend class InEdgeIt;
198      friend class SymEdge;
199
200    protected:
201      int n;
202      friend int SmartGraph::id(Node v);
203      Node(int nn) {n=nn;}
204    public:
205      Node() {}
206      Node (Invalid) { n=-1; }
207      bool operator==(const Node i) const {return n==i.n;}
208      bool operator!=(const Node i) const {return n!=i.n;}
209      bool operator<(const Node i) const {return n<i.n;}
210      //      ///Validity check
211      //      operator bool() { return n!=-1; }
212    };
213   
214    class NodeIt : public Node {
215      const SmartGraph *G;
216      friend class SmartGraph;
217    public:
218      NodeIt() : Node() { }
219      NodeIt(const SmartGraph& _G,Node n) : Node(n), G(&_G) { }
220      NodeIt(Invalid i) : Node(i) { }
221      NodeIt(const SmartGraph& _G) : Node(_G.nodes.size()?0:-1), G(&_G) { }
222      NodeIt &operator++() {
223        n=(n+2)%(G->nodes.size()+1)-1;
224        return *this;
225      }
226//       ///Validity check
227//       operator bool() { return Node::operator bool(); }     
228    };
229
230    class Edge {
231      friend class SmartGraph;
232      template <typename T> friend class EdgeMap;
233
234      friend class SymSmartGraph;
235     
236      friend class Node;
237      friend class NodeIt;
238    protected:
239      int n;
240      friend int SmartGraph::id(Edge e);
241      Edge(int nn) {n=nn;}
242    public:
243      /// An Edge with id \c n.
244
245      Edge() { }
246      Edge (Invalid) { n=-1; }
247      bool operator==(const Edge i) const {return n==i.n;}
248      bool operator!=(const Edge i) const {return n!=i.n;}
249      bool operator<(const Edge i) const {return n<i.n;}
250//       ///Validity check
251//       operator bool() { return n!=-1; }
252
253      ///Set the edge to that have ID \c ID.
254      void setToId(int id) { n=id; }
255   };
256   
257    class EdgeIt : public Edge {
258      const SmartGraph *G;
259      friend class SmartGraph;
260    public:
261      EdgeIt(const SmartGraph& _G) : Edge(_G.edges.size()-1), G(&_G) { }
262      EdgeIt(const SmartGraph& _G, Edge e) : Edge(e), G(&_G) { }
263      EdgeIt (Invalid i) : Edge(i) { }
264      EdgeIt() : Edge() { }
265      EdgeIt &operator++() { --n; return *this; }
266//       ///Validity check
267//       operator bool() { return Edge::operator bool(); }     
268    };
269   
270    class OutEdgeIt : public Edge {
271      const SmartGraph *G;
272      friend class SmartGraph;
273    public:
274      OutEdgeIt() : Edge() { }
275      OutEdgeIt(const SmartGraph& _G, Edge e) : Edge(e), G(&_G) { }
276      OutEdgeIt (Invalid i) : Edge(i) { }
277
278      OutEdgeIt(const SmartGraph& _G,const Node v)
279        : Edge(_G.nodes[v.n].first_out), G(&_G) {}
280      OutEdgeIt &operator++() { n=G->edges[n].next_out; return *this; }
281//       ///Validity check
282//       operator bool() { return Edge::operator bool(); }     
283    };
284   
285    class InEdgeIt : public Edge {
286      const SmartGraph *G;
287      friend class SmartGraph;
288    public:
289      InEdgeIt() : Edge() { }
290      InEdgeIt(const SmartGraph& _G, Edge e) : Edge(e), G(&_G) { }
291      InEdgeIt (Invalid i) : Edge(i) { }
292      InEdgeIt(const SmartGraph& _G,Node v)
293        : Edge(_G.nodes[v.n].first_in), G(&_G) { }
294      InEdgeIt &operator++() { n=G->edges[n].next_in; return *this; }
295//       ///Validity check
296//       operator bool() { return Edge::operator bool(); }     
297    };
298
299  };
300
301
302
303  class SymSmartGraph : public SmartGraph {
304    typedef SmartGraph Parent;
305  public:
306
307    typedef SymSmartGraph Graph;
308
309    typedef SmartGraph::Node Node;
310    typedef SmartGraph::NodeIt NodeIt;
311
312    class SymEdge;
313    class SymEdgeIt;
314
315    class Edge;
316    class EdgeIt;
317    class OutEdgeIt;
318    class InEdgeIt;
319
320    template <typename Value>
321    class NodeMap : public Parent::NodeMap<Value> {     
322    public:
323      NodeMap(const SymSmartGraph& g)
324        : SymSmartGraph::Parent::NodeMap<Value>(g) {}
325      NodeMap(const SymSmartGraph& g, Value v)
326        : SymSmartGraph::Parent::NodeMap<Value>(g, v) {}
327      template<typename TT>
328      NodeMap(const NodeMap<TT>& copy)
329        : SymSmartGraph::Parent::NodeMap<Value>(copy) { }           
330    };
331
332    template <typename Value>
333    class SymEdgeMap : public Parent::EdgeMap<Value> {
334    public:
335      typedef SymEdge KeyType;
336
337      SymEdgeMap(const SymSmartGraph& g)
338        : SymSmartGraph::Parent::EdgeMap<Value>(g) {}
339      SymEdgeMap(const SymSmartGraph& g, Value v)
340        : SymSmartGraph::Parent::EdgeMap<Value>(g, v) {}
341      template<typename TT>
342      SymEdgeMap(const SymEdgeMap<TT>& copy)
343        : SymSmartGraph::Parent::EdgeMap<Value>(copy) { }
344     
345    };
346
347    // Create edge map registry.
348    CREATE_EDGE_MAP_REGISTRY;
349    // Create edge maps.
350    CREATE_EDGE_MAP(ArrayMap);
351
352    class Edge {
353      friend class SymSmartGraph;
354      friend class SymSmartGraph::EdgeIt;
355      friend class SymSmartGraph::OutEdgeIt;
356      friend class SymSmartGraph::InEdgeIt;
357     
358    protected:
359      int id;
360
361      Edge(int pid) { id = pid; }
362
363    public:
364      /// An Edge with id \c n.
365
366      Edge() { }
367      Edge (Invalid) { id = -1; }
368
369      operator SymEdge(){ return SymEdge(id >> 1);}
370     
371      bool operator==(const Edge i) const {return id == i.id;}
372      bool operator!=(const Edge i) const {return id != i.id;}
373      bool operator<(const Edge i) const {return id < i.id;}
374      //      ///Validity check
375      //      operator bool() { return n!=-1; }
376    };
377
378    class SymEdge : public SmartGraph::Edge {
379      friend class SymSmartGraph;
380      friend class SymSmartGraph::Edge;
381      typedef SmartGraph::Edge Parent;
382
383    protected:     
384      SymEdge(int pid) : Parent(pid) {}
385    public:
386
387      SymEdge() { }
388      SymEdge(const SmartGraph::Edge& i) : Parent(i) {}
389      SymEdge (Invalid) : Parent(INVALID) {}
390
391    };
392
393    class OutEdgeIt {
394      Parent::OutEdgeIt out;
395      Parent::InEdgeIt in;     
396    public:
397      OutEdgeIt() {}
398      OutEdgeIt(const SymSmartGraph& g, Edge e) {
399        if ((e.id & 1) == 0) { 
400          out = Parent::OutEdgeIt(g, SymEdge(e));
401          in = Parent::InEdgeIt(g, g.tail(e));
402        } else {
403          out = Parent::OutEdgeIt(INVALID);
404          in = Parent::InEdgeIt(g, SymEdge(e));
405        }
406      }
407      OutEdgeIt (Invalid i) : out(INVALID), in(INVALID) { }
408
409      OutEdgeIt(const SymSmartGraph& g, const Node v)
410        : out(g, v), in(g, v) {}
411      OutEdgeIt &operator++() {
412        if (out != INVALID) {
413          ++out;
414        } else {
415          ++in;
416        }
417        return *this;
418      }
419
420      operator Edge() const {
421        if (out == INVALID && in == INVALID) return INVALID;
422        return out != INVALID ? forward(out) : backward(in);
423      }
424
425      bool operator==(const Edge i) const {return Edge(*this) == i;}
426      bool operator!=(const Edge i) const {return Edge(*this) != i;}
427      bool operator<(const Edge i) const {return Edge(*this) < i;}
428    };
429
430    class InEdgeIt {
431      Parent::OutEdgeIt out;
432      Parent::InEdgeIt in;     
433    public:
434      InEdgeIt() {}
435      InEdgeIt(const SymSmartGraph& g, Edge e) {
436        if ((e.id & 1) == 0) { 
437          out = Parent::OutEdgeIt(g, SymEdge(e));
438          in = Parent::InEdgeIt(g, g.tail(e));
439        } else {
440          out = Parent::OutEdgeIt(INVALID);
441          in = Parent::InEdgeIt(g, SymEdge(e));
442        }
443      }
444      InEdgeIt (Invalid i) : out(INVALID), in(INVALID) { }
445
446      InEdgeIt(const SymSmartGraph& g, const Node v)
447        : out(g, v), in(g, v) {}
448
449      InEdgeIt &operator++() {
450        if (out != INVALID) {
451          ++out;
452        } else {
453          ++in;
454        }
455        return *this;
456      }
457
458      operator Edge() const {
459        if (out == INVALID && in == INVALID) return INVALID;
460        return out != INVALID ? backward(out) : forward(in);
461      }
462
463      bool operator==(const Edge i) const {return Edge(*this) == i;}
464      bool operator!=(const Edge i) const {return Edge(*this) != i;}
465      bool operator<(const Edge i) const {return Edge(*this) < i;}
466    };
467
468    class SymEdgeIt : public Parent::EdgeIt {
469
470    public:
471      SymEdgeIt() {}
472
473      SymEdgeIt(const SymSmartGraph& g)
474        : SymSmartGraph::Parent::EdgeIt(g) {}
475
476      SymEdgeIt(const SymSmartGraph& g, SymEdge e)
477        : SymSmartGraph::Parent::EdgeIt(g, e) {}
478
479      SymEdgeIt(Invalid i)
480        : SymSmartGraph::Parent::EdgeIt(INVALID) {}
481
482      SymEdgeIt& operator++() {
483        SymSmartGraph::Parent::EdgeIt::operator++();
484        return *this;
485      }
486
487      operator SymEdge() const {
488        return SymEdge
489          (static_cast<const SymSmartGraph::Parent::EdgeIt&>(*this));
490      }
491      bool operator==(const SymEdge i) const {return SymEdge(*this) == i;}
492      bool operator!=(const SymEdge i) const {return SymEdge(*this) != i;}
493      bool operator<(const SymEdge i) const {return SymEdge(*this) < i;}
494    };
495
496    class EdgeIt {
497      SymEdgeIt it;
498      bool fw;
499    public:
500      EdgeIt(const SymSmartGraph& g) : it(g), fw(true) {}
501      EdgeIt (Invalid i) : it(i) { }
502      EdgeIt(const SymSmartGraph& g, Edge e)
503        : it(g, SymEdge(e)), fw(id(e) & 1 == 0) { }
504      EdgeIt() { }
505      EdgeIt& operator++() {
506        fw = !fw;
507        if (fw) ++it;
508        return *this;
509      }
510      operator Edge() const {
511        if (it == INVALID) return INVALID;
512        return fw ? forward(it) : backward(it);
513      }
514      bool operator==(const Edge i) const {return Edge(*this) == i;}
515      bool operator!=(const Edge i) const {return Edge(*this) != i;}
516      bool operator<(const Edge i) const {return Edge(*this) < i;}
517
518    };
519
520    ///Number of nodes.
521    int nodeNum() const { return Parent::nodeNum(); }
522    ///Number of edges.
523    int edgeNum() const { return 2*Parent::edgeNum(); }
524    ///Number of symmetric edges.
525    int symEdgeNum() const { return Parent::edgeNum(); }
526
527    /// Maximum node ID.
528   
529    /// Maximum node ID.
530    ///\sa id(Node)
531    int maxNodeId() const { return Parent::maxNodeId(); }
532    /// Maximum edge ID.
533   
534    /// Maximum edge ID.
535    ///\sa id(Edge)
536    int maxEdgeId() const { return 2*Parent::maxEdgeId(); }
537    /// Maximum symmetric edge ID.
538   
539    /// Maximum symmetric edge ID.
540    ///\sa id(SymEdge)
541    int maxSymEdgeId() const { return Parent::maxEdgeId(); }
542
543
544    Node tail(Edge e) const {
545      return (e.id & 1) == 0 ?
546        Parent::tail(SymEdge(e)) : Parent::head(SymEdge(e));
547    }
548
549    Node head(Edge e) const {
550      return (e.id & 1) == 0 ?
551        Parent::head(SymEdge(e)) : Parent::tail(SymEdge(e));
552    }
553
554    Node tail(SymEdge e) const {
555      return Parent::tail(e);
556    }
557
558    Node head(SymEdge e) const {
559      return Parent::head(e);
560    }
561
562    NodeIt& first(NodeIt& v) const {
563      v=NodeIt(*this); return v; }
564    EdgeIt& first(EdgeIt& e) const {
565      e=EdgeIt(*this); return e; }
566    SymEdgeIt& first(SymEdgeIt& e) const {
567      e=SymEdgeIt(*this); return e; }
568    OutEdgeIt& first(OutEdgeIt& e, const Node v) const {
569      e=OutEdgeIt(*this,v); return e; }
570    InEdgeIt& first(InEdgeIt& e, const Node v) const {
571      e=InEdgeIt(*this,v); return e; }
572
573    /// Node ID.
574   
575    /// The ID of a valid Node is a nonnegative integer not greater than
576    /// \ref maxNodeId(). The range of the ID's is not surely continuous
577    /// and the greatest node ID can be actually less then \ref maxNodeId().
578    ///
579    /// The ID of the \ref INVALID node is -1.
580    ///\return The ID of the node \c v.
581    static int id(Node v) { return Parent::id(v); }
582    /// Edge ID.
583   
584    /// The ID of a valid Edge is a nonnegative integer not greater than
585    /// \ref maxEdgeId(). The range of the ID's is not surely continuous
586    /// and the greatest edge ID can be actually less then \ref maxEdgeId().
587    ///
588    /// The ID of the \ref INVALID edge is -1.
589    ///\return The ID of the edge \c e.
590    static int id(Edge e) { return e.id; }
591
592    /// The ID of a valid SymEdge is a nonnegative integer not greater than
593    /// \ref maxSymEdgeId(). The range of the ID's is not surely continuous
594    /// and the greatest edge ID can be actually less then \ref maxSymEdgeId().
595    ///
596    /// The ID of the \ref INVALID symmetric edge is -1.
597    ///\return The ID of the edge \c e.
598    static int id(SymEdge e) { return Parent::id(e); }
599
600    /// Adds a new node to the graph.
601
602    /// \warning It adds the new node to the front of the list.
603    /// (i.e. the lastly added node becomes the first.)
604    Node addNode() {
605      return Parent::addNode();
606    }
607   
608    SymEdge addEdge(Node u, Node v) {
609      SymEdge se = Parent::addEdge(u, v);
610      edge_maps.add(forward(se));
611      edge_maps.add(backward(se));
612      return se;
613    }
614   
615    /// Finds an edge between two nodes.
616
617    /// Finds an edge from node \c u to node \c v.
618    ///
619    /// If \c prev is \ref INVALID (this is the default value), then
620    /// It finds the first edge from \c u to \c v. Otherwise it looks for
621    /// the next edge from \c u to \c v after \c prev.
622    /// \return The found edge or INVALID if there is no such an edge.
623    Edge findEdge(Node u, Node v, Edge prev = INVALID)
624    {     
625      if (prev == INVALID || id(prev) & 1 == 0) {
626        SymEdge se = Parent::findEdge(u, v, SymEdge(prev));
627        if (se != INVALID) return forward(se);
628      } else {
629        SymEdge se = Parent::findEdge(v, u, SymEdge(prev));
630        if (se != INVALID) return backward(se);
631      }
632      return INVALID;
633    }
634
635//     /// Finds an symmetric edge between two nodes.
636
637//     /// Finds an symmetric edge from node \c u to node \c v.
638//     ///
639//     /// If \c prev is \ref INVALID (this is the default value), then
640//     /// It finds the first edge from \c u to \c v. Otherwise it looks for
641//     /// the next edge from \c u to \c v after \c prev.
642//     /// \return The found edge or INVALID if there is no such an edge.
643
644//     SymEdge findEdge(Node u, Node v, SymEdge prev = INVALID)
645//     {     
646//       if (prev == INVALID || id(prev) & 1 == 0) {
647//      SymEdge se = Parent::findEdge(u, v, SymEdge(prev));
648//      if (se != INVALID) return se;
649//       } else {
650//      SymEdge se = Parent::findEdge(v, u, SymEdge(prev));
651//      if (se != INVALID) return se;   
652//       }
653//       return INVALID;
654//     }
655   
656  public:
657
658    void clear() {
659      edge_maps.clear();
660      Parent::clear();
661    }
662
663    static Edge opposite(Edge e) {
664      return Edge(id(e) ^ 1);
665    }
666
667    static Edge forward(SymEdge e) {
668      return Edge(id(e) << 1);
669    }
670
671    static Edge backward(SymEdge e) {
672      return Edge((id(e) << 1) | 1);
673    }
674
675  };
676  ///Graph for bidirectional edges.
677
678  ///The purpose of this graph structure is to handle graphs
679  ///having bidirectional edges. Here the function \c addEdge(u,v) adds a pair
680  ///of oppositely directed edges.
681  ///There is a new edge map type called
682  ///\ref SymSmartGraph::SymEdgeMap "SymEdgeMap"
683  ///that complements this
684  ///feature by
685  ///storing shared values for the edge pairs. The usual
686  ///\ref Graph::EdgeMap "EdgeMap"
687  ///can be used
688  ///as well.
689  ///
690  ///The oppositely directed edge can also be obtained easily
691  ///using \ref opposite.
692  ///\warning It shares the similarity with \ref SmartGraph that
693  ///it is not possible to delete edges or nodes from the graph.
694  //\sa SmartGraph.
695
696  /*  class SymSmartGraph : public SmartGraph
697  {
698  public:
699    typedef SymSmartGraph Graph;
700
701    // Create symmetric map registry.
702    CREATE_SYM_EDGE_MAP_REGISTRY;
703    // Create symmetric edge map.
704    CREATE_SYM_EDGE_MAP(ArrayMap);
705
706
707    SymSmartGraph() : SmartGraph() { }
708    SymSmartGraph(const SmartGraph &_g) : SmartGraph(_g) { }
709    ///Adds a pair of oppositely directed edges to the graph.
710    Edge addEdge(Node u, Node v)
711    {
712      Edge e = SmartGraph::addEdge(u,v);
713      Edge f = SmartGraph::addEdge(v,u);
714      sym_edge_maps.add(e);
715      sym_edge_maps.add(f);
716      return e;
717    }
718
719    ///The oppositely directed edge.
720
721    ///Returns the oppositely directed
722    ///pair of the edge \c e.
723    static Edge opposite(Edge e)
724    {
725      Edge f;
726      f.n = e.n - 2*(e.n%2) + 1;
727      return f;
728    }
729   
730
731    };*/
732 
733  /// @} 
734} //namespace lemon
735
736
737
738
739#endif //LEMON_SMART_GRAPH_H
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