COIN-OR::LEMON - Graph Library

source: lemon-0.x/src/hugo/list_graph.h @ 695:887c551fb0aa

Last change on this file since 695:887c551fb0aa was 695:887c551fb0aa, checked in by Alpar Juttner, 20 years ago
  • Bugfix in erase()
  • reserveEdge() added
File size: 46.4 KB
Line 
1// -*- mode:C++ -*-
2
3#ifndef HUGO_LIST_GRAPH_H
4#define HUGO_LIST_GRAPH_H
5
6///\ingroup graphs
7///\file
8///\brief ListGraph, SymListGraph, NodeSet and EdgeSet classes.
9
10#include <vector>
11#include <limits.h>
12
13#include <hugo/invalid.h>
14
15namespace hugo {
16
17/// \addtogroup graphs
18/// @{
19
20  class SymListGraph;
21
22  ///A list graph class.
23
24  ///This is a simple and fast erasable graph implementation.
25  ///
26  ///It conforms to the graph interface documented under
27  ///the description of \ref GraphSkeleton.
28  ///\sa \ref GraphSkeleton.
29  class ListGraph {
30
31    //Nodes are double linked.
32    //The free nodes are only single linked using the "next" field.
33    struct NodeT
34    {
35      int first_in,first_out;
36      int prev, next;
37      //      NodeT() {}
38    };
39    //Edges are double linked.
40    //The free edges are only single linked using the "next_in" field.
41    struct EdgeT
42    {
43      int head, tail;
44      int prev_in, prev_out;
45      int next_in, next_out;
46      //FIXME: is this necessary?
47      //      EdgeT() : next_in(-1), next_out(-1) prev_in(-1), prev_out(-1) {} 
48    };
49
50    std::vector<NodeT> nodes;
51    //The first node
52    int first_node;
53    //The first free node
54    int first_free_node;
55    std::vector<EdgeT> edges;
56    //The first free edge
57    int first_free_edge;
58   
59  protected:
60   
61    template <typename Key> class DynMapBase
62    {
63    protected:
64      const ListGraph* G;
65    public:
66      virtual void add(const Key k) = 0;
67      virtual void erase(const Key k) = 0;
68      DynMapBase(const ListGraph &_G) : G(&_G) {}
69      virtual ~DynMapBase() {}
70      friend class ListGraph;
71    };
72   
73  public:
74    template <typename T> class EdgeMap;
75    template <typename T> class NodeMap;
76   
77    class Node;
78    class Edge;
79
80    //  protected:
81    // HELPME:
82  protected:
83    ///\bug It must be public because of SymEdgeMap.
84    ///
85    mutable std::vector<DynMapBase<Node> * > dyn_node_maps;
86    ///\bug It must be public because of SymEdgeMap.
87    ///
88    mutable std::vector<DynMapBase<Edge> * > dyn_edge_maps;
89   
90  public:
91
92    class NodeIt;
93    class EdgeIt;
94    class OutEdgeIt;
95    class InEdgeIt;
96   
97  public:
98
99    ListGraph() : nodes(), first_node(-1),
100                  first_free_node(-1), edges(), first_free_edge(-1) {}
101    ListGraph(const ListGraph &_g) : nodes(_g.nodes), first_node(_g.first_node),
102                                     first_free_node(_g.first_free_node),
103                                     edges(_g.edges),
104                                     first_free_edge(_g.first_free_edge) {}
105   
106    ~ListGraph()
107    {
108      for(std::vector<DynMapBase<Node> * >::iterator i=dyn_node_maps.begin();
109          i!=dyn_node_maps.end(); ++i) (**i).G=NULL;
110      for(std::vector<DynMapBase<Edge> * >::iterator i=dyn_edge_maps.begin();
111          i!=dyn_edge_maps.end(); ++i) (**i).G=NULL;
112    }
113
114    int nodeNum() const { return nodes.size(); }  //FIXME: What is this?
115    int edgeNum() const { return edges.size(); }  //FIXME: What is this?
116
117    ///Set the expected number of edges
118
119    ///With this function, it is possible to set the expected number of edges.
120    ///The use of this fasten the building of the graph and makes
121    ///it possible to avoid the superfluous memory allocation.
122    void reserveEdge(int n) { edges.reserve(n); };
123   
124    ///\bug This function does something different than
125    ///its name would suggests...
126    int maxNodeId() const { return nodes.size(); }  //FIXME: What is this?
127    ///\bug This function does something different than
128    ///its name would suggests...
129    int maxEdgeId() const { return edges.size(); }  //FIXME: What is this?
130
131    Node tail(Edge e) const { return edges[e.n].tail; }
132    Node head(Edge e) const { return edges[e.n].head; }
133
134    Node aNode(OutEdgeIt e) const { return edges[e.n].tail; }
135    Node aNode(InEdgeIt e) const { return edges[e.n].head; }
136
137    Node bNode(OutEdgeIt e) const { return edges[e.n].head; }
138    Node bNode(InEdgeIt e) const { return edges[e.n].tail; }
139
140    NodeIt& first(NodeIt& v) const {
141      v=NodeIt(*this); return v; }
142    EdgeIt& first(EdgeIt& e) const {
143      e=EdgeIt(*this); return e; }
144    OutEdgeIt& first(OutEdgeIt& e, const Node v) const {
145      e=OutEdgeIt(*this,v); return e; }
146    InEdgeIt& first(InEdgeIt& e, const Node v) const {
147      e=InEdgeIt(*this,v); return e; }
148
149//     template< typename It >
150//     It first() const { It e; first(e); return e; }
151
152//     template< typename It >
153//     It first(Node v) const { It e; first(e,v); return e; }
154
155    bool valid(Edge e) const { return e.n!=-1; }
156    bool valid(Node n) const { return n.n!=-1; }
157   
158    void setInvalid(Edge &e) { e.n=-1; }
159    void setInvalid(Node &n) { n.n=-1; }
160   
161    template <typename It> It getNext(It it) const
162    { It tmp(it); return next(tmp); }
163
164    NodeIt& next(NodeIt& it) const {
165      it.n=nodes[it.n].next;
166      return it;
167    }
168    OutEdgeIt& next(OutEdgeIt& it) const
169    { it.n=edges[it.n].next_out; return it; }
170    InEdgeIt& next(InEdgeIt& it) const
171    { it.n=edges[it.n].next_in; return it; }
172    EdgeIt& next(EdgeIt& it) const {
173      if(edges[it.n].next_in!=-1) {
174        it.n=edges[it.n].next_in;
175      }
176      else {
177        int n;
178        for(n=nodes[edges[it.n].head].next;
179            n!=-1 && nodes[n].first_in == -1;
180            n = nodes[n].next) ;
181        it.n = (n==-1)?-1:nodes[n].first_in;
182      }
183      return it;
184    }
185
186    int id(Node v) const { return v.n; }
187    int id(Edge e) const { return e.n; }
188
189    /// Adds a new node to the graph.
190
191    /// \todo It adds the nodes in a reversed order.
192    /// (i.e. the lastly added node becomes the first.)
193    Node addNode() {
194      int n;
195     
196      if(first_free_node==-1)
197        {
198          n = nodes.size();
199          nodes.push_back(NodeT());
200        }
201      else {
202        n = first_free_node;
203        first_free_node = nodes[n].next;
204      }
205     
206      nodes[n].next = first_node;
207      if(first_node != -1) nodes[first_node].prev = n;
208      first_node = n;
209      nodes[n].prev = -1;
210     
211      nodes[n].first_in = nodes[n].first_out = -1;
212     
213      Node nn; nn.n=n;
214
215      //Update dynamic maps
216      for(std::vector<DynMapBase<Node> * >::iterator i=dyn_node_maps.begin();
217          i!=dyn_node_maps.end(); ++i) (**i).add(nn);
218
219      return nn;
220    }
221   
222    Edge addEdge(Node u, Node v) {
223      int n;
224     
225      if(first_free_edge==-1)
226        {
227          n = edges.size();
228          edges.push_back(EdgeT());
229        }
230      else {
231        n = first_free_edge;
232        first_free_edge = edges[n].next_in;
233      }
234     
235      edges[n].tail = u.n; edges[n].head = v.n;
236
237      edges[n].next_out = nodes[u.n].first_out;
238      if(nodes[u.n].first_out != -1) edges[nodes[u.n].first_out].prev_out = n;
239      edges[n].next_in = nodes[v.n].first_in;
240      if(nodes[v.n].first_in != -1) edges[nodes[v.n].first_in].prev_in = n;
241      edges[n].prev_in = edges[n].prev_out = -1;
242       
243      nodes[u.n].first_out = nodes[v.n].first_in = n;
244
245      Edge e; e.n=n;
246
247      //Update dynamic maps
248      for(std::vector<DynMapBase<Edge> * >::iterator i=dyn_edge_maps.begin();
249          i!=dyn_edge_maps.end(); ++i) (**i).add(e);
250
251      return e;
252    }
253
254  private:
255    void eraseEdge(int n) {
256     
257      if(edges[n].next_in!=-1)
258        edges[edges[n].next_in].prev_in = edges[n].prev_in;
259      if(edges[n].prev_in!=-1)
260        edges[edges[n].prev_in].next_in = edges[n].next_in;
261      else nodes[edges[n].head].first_in = edges[n].next_in;
262     
263      if(edges[n].next_out!=-1)
264        edges[edges[n].next_out].prev_out = edges[n].prev_out;
265      if(edges[n].prev_out!=-1)
266        edges[edges[n].prev_out].next_out = edges[n].next_out;
267      else nodes[edges[n].tail].first_out = edges[n].next_out;
268     
269      edges[n].next_in = first_free_edge;
270      first_free_edge = n;     
271
272      //Update dynamic maps
273      Edge e; e.n=n;
274      for(std::vector<DynMapBase<Edge> * >::iterator i=dyn_edge_maps.begin();
275          i!=dyn_edge_maps.end(); ++i) (**i).erase(e);
276    }
277     
278  public:
279
280    void erase(Node nn) {
281      int n=nn.n;
282     
283      int m;
284      while((m=nodes[n].first_in)!=-1) eraseEdge(m);
285      while((m=nodes[n].first_out)!=-1) eraseEdge(m);
286
287      if(nodes[n].next != -1) nodes[nodes[n].next].prev = nodes[n].prev;
288      if(nodes[n].prev != -1) nodes[nodes[n].prev].next = nodes[n].next;
289      else first_node = nodes[n].next;
290     
291      nodes[n].next = first_free_node;
292      first_free_node = n;
293
294      //Update dynamic maps
295      for(std::vector<DynMapBase<Node> * >::iterator i=dyn_node_maps.begin();
296          i!=dyn_node_maps.end(); ++i) (**i).erase(nn);
297    }
298   
299    void erase(Edge e) { eraseEdge(e.n); }
300
301    ///\bug Dynamic maps must be updated!
302    ///
303    void clear() {
304      nodes.clear();edges.clear();
305      first_node=first_free_node=first_free_edge=-1;
306    }
307
308    class Node {
309      friend class ListGraph;
310      template <typename T> friend class NodeMap;
311       
312      friend class Edge;
313      friend class OutEdgeIt;
314      friend class InEdgeIt;
315      friend class SymEdge;
316
317    protected:
318      int n;
319      friend int ListGraph::id(Node v) const;
320      Node(int nn) {n=nn;}
321    public:
322      Node() {}
323      Node (Invalid) { n=-1; }
324      bool operator==(const Node i) const {return n==i.n;}
325      bool operator!=(const Node i) const {return n!=i.n;}
326      bool operator<(const Node i) const {return n<i.n;}
327    };
328   
329    class NodeIt : public Node {
330      friend class ListGraph;
331    public:
332      NodeIt() : Node() { }
333      NodeIt(Invalid i) : Node(i) { }
334      NodeIt(const ListGraph& G) : Node(G.first_node) { }
335      ///\todo Undocumented conversion Node -\> NodeIt.
336      NodeIt(const ListGraph& G, const Node &n) : Node(n) { }
337    };
338
339    class Edge {
340      friend class ListGraph;
341      template <typename T> friend class EdgeMap;
342
343      //template <typename T> friend class SymListGraph::SymEdgeMap;     
344      //friend Edge SymListGraph::opposite(Edge) const;
345     
346      friend class Node;
347      friend class NodeIt;
348    protected:
349      int n;
350      friend int ListGraph::id(Edge e) const;
351
352      Edge(int nn) {n=nn;}
353    public:
354      Edge() { }
355      Edge (Invalid) { n=-1; }
356      bool operator==(const Edge i) const {return n==i.n;}
357      bool operator!=(const Edge i) const {return n!=i.n;}
358      bool operator<(const Edge i) const {return n<i.n;}
359      ///\bug This is a workaround until somebody tells me how to
360      ///make class \c SymListGraph::SymEdgeMap friend of Edge
361      int &idref() {return n;}
362      const int &idref() const {return n;}
363    };
364   
365    class EdgeIt : public Edge {
366      friend class ListGraph;
367    public:
368      EdgeIt(const ListGraph& G) : Edge() {
369        int m;
370        for(m=G.first_node;
371            m!=-1 && G.nodes[m].first_in == -1; m = G.nodes[m].next);
372        n = (m==-1)?-1:G.nodes[m].first_in;
373      }
374      EdgeIt (Invalid i) : Edge(i) { }
375      EdgeIt() : Edge() { }
376      ///\bug This is a workaround until somebody tells me how to
377      ///make class \c SymListGraph::SymEdgeMap friend of Edge
378      int &idref() {return n;}
379    };
380   
381    class OutEdgeIt : public Edge {
382      friend class ListGraph;
383    public:
384      OutEdgeIt() : Edge() { }
385      OutEdgeIt (Invalid i) : Edge(i) { }
386
387      OutEdgeIt(const ListGraph& G,const Node v)
388        : Edge(G.nodes[v.n].first_out) {}
389    };
390   
391    class InEdgeIt : public Edge {
392      friend class ListGraph;
393    public:
394      InEdgeIt() : Edge() { }
395      InEdgeIt (Invalid i) : Edge(i) { }
396      InEdgeIt(const ListGraph& G,Node v) :Edge(G.nodes[v.n].first_in) {}
397    };
398
399    template <typename T> class NodeMap : public DynMapBase<Node>
400    {
401      std::vector<T> container;
402
403    public:
404      typedef T ValueType;
405      typedef Node KeyType;
406
407      NodeMap(const ListGraph &_G) :
408        DynMapBase<Node>(_G), container(_G.maxNodeId())
409      {
410        G->dyn_node_maps.push_back(this);
411      }
412      NodeMap(const ListGraph &_G,const T &t) :
413        DynMapBase<Node>(_G), container(_G.maxNodeId(),t)
414      {
415        G->dyn_node_maps.push_back(this);
416      }
417     
418      NodeMap(const NodeMap<T> &m) :
419        DynMapBase<Node>(*m.G), container(m.container)
420      {
421        G->dyn_node_maps.push_back(this);
422      }
423
424      template<typename TT> friend class NodeMap;
425 
426      ///\todo It can copy between different types.
427      ///
428      template<typename TT> NodeMap(const NodeMap<TT> &m) :
429        DynMapBase<Node>(*m.G), container(m.container.size())
430
431      {
432        G->dyn_node_maps.push_back(this);
433        typename std::vector<TT>::const_iterator i;
434        for(typename std::vector<TT>::const_iterator i=m.container.begin();
435            i!=m.container.end();
436            i++)
437          container.push_back(*i);
438      }
439      ~NodeMap()
440      {
441        if(G) {
442          std::vector<DynMapBase<Node>* >::iterator i;
443          for(i=G->dyn_node_maps.begin();
444              i!=G->dyn_node_maps.end() && *i!=this; ++i) ;
445          //if(*i==this) G->dyn_node_maps.erase(i); //FIXME: Way too slow...
446          //A better way to do that: (Is this really important?)
447          if(*i==this) {
448            *i=G->dyn_node_maps.back();
449            G->dyn_node_maps.pop_back();
450          }
451        }
452      }
453
454      void add(const Node k)
455      {
456        if(k.n>=int(container.size())) container.resize(k.n+1);
457      }
458
459      void erase(const Node) { }
460     
461      void set(Node n, T a) { container[n.n]=a; }
462      //'T& operator[](Node n)' would be wrong here
463      typename std::vector<T>::reference
464      operator[](Node n) { return container[n.n]; }
465      //'const T& operator[](Node n)' would be wrong here
466      typename std::vector<T>::const_reference
467      operator[](Node n) const { return container[n.n]; }
468
469      ///\warning There is no safety check at all!
470      ///Using operator = between maps attached to different graph may
471      ///cause serious problem.
472      ///\todo Is this really so?
473      ///\todo It can copy between different types.
474      const NodeMap<T>& operator=(const NodeMap<T> &m)
475      {
476        container = m.container;
477        return *this;
478      }
479      template<typename TT>
480      const NodeMap<T>& operator=(const NodeMap<TT> &m)
481      {
482        std::copy(m.container.begin(), m.container.end(), container.begin());
483        return *this;
484      }
485     
486      void update() {}    //Useless for Dynamic Maps
487      void update(T a) {}  //Useless for Dynamic Maps
488    };
489   
490    template <typename T> class EdgeMap : public DynMapBase<Edge>
491    {
492    protected:
493      std::vector<T> container;
494
495    public:
496      typedef T ValueType;
497      typedef Edge KeyType;
498
499      EdgeMap(const ListGraph &_G) :
500        DynMapBase<Edge>(_G), container(_G.maxEdgeId())
501      {
502        //FIXME: What if there are empty Id's?
503        //FIXME: Can I use 'this' in a constructor?
504        G->dyn_edge_maps.push_back(this);
505      }
506      EdgeMap(const ListGraph &_G,const T &t) :
507        DynMapBase<Edge>(_G), container(_G.maxEdgeId(),t)
508      {
509        G->dyn_edge_maps.push_back(this);
510      }
511      EdgeMap(const EdgeMap<T> &m) :
512        DynMapBase<Edge>(*m.G), container(m.container)
513      {
514        G->dyn_edge_maps.push_back(this);
515      }
516
517      template<typename TT> friend class EdgeMap;
518
519      ///\todo It can copy between different types.
520      ///
521      template<typename TT> EdgeMap(const EdgeMap<TT> &m) :
522        DynMapBase<Edge>(*m.G), container(m.container.size())
523      {
524        G->dyn_edge_maps.push_back(this);
525        typename std::vector<TT>::const_iterator i;
526        for(typename std::vector<TT>::const_iterator i=m.container.begin();
527            i!=m.container.end();
528            i++)
529          container.push_back(*i);
530      }
531      ~EdgeMap()
532      {
533        if(G) {
534          std::vector<DynMapBase<Edge>* >::iterator i;
535          for(i=G->dyn_edge_maps.begin();
536              i!=G->dyn_edge_maps.end() && *i!=this; ++i) ;
537          //if(*i==this) G->dyn_edge_maps.erase(i); //Way too slow...
538          //A better way to do that: (Is this really important?)
539          if(*i==this) {
540            *i=G->dyn_edge_maps.back();
541            G->dyn_edge_maps.pop_back();
542          }
543        }
544      }
545     
546      void add(const Edge k)
547      {
548        if(k.n>=int(container.size())) container.resize(k.n+1);
549      }
550      void erase(const Edge) { }
551     
552      void set(Edge n, T a) { container[n.n]=a; }
553      //T get(Edge n) const { return container[n.n]; }
554      typename std::vector<T>::reference
555      operator[](Edge n) { return container[n.n]; }
556      typename std::vector<T>::const_reference
557      operator[](Edge n) const { return container[n.n]; }
558
559      ///\warning There is no safety check at all!
560      ///Using operator = between maps attached to different graph may
561      ///cause serious problem.
562      ///\todo Is this really so?
563      ///\todo It can copy between different types.
564      const EdgeMap<T>& operator=(const EdgeMap<T> &m)
565      {
566        container = m.container;
567        return *this;
568      }
569      template<typename TT>
570      const EdgeMap<T>& operator=(const EdgeMap<TT> &m)
571      {
572        std::copy(m.container.begin(), m.container.end(), container.begin());
573        return *this;
574      }
575     
576      void update() {}    //Useless for DynMaps
577      void update(T a) {}  //Useless for DynMaps
578    };
579
580  };
581
582  ///Graph for bidirectional edges.
583
584  ///The purpose of this graph structure is to handle graphs
585  ///having bidirectional edges. Here the function \c addEdge(u,v) adds a pair
586  ///of oppositely directed edges.
587  ///There is a new edge map type called
588  ///\ref SymListGraph::SymEdgeMap "SymEdgeMap"
589  ///that complements this
590  ///feature by
591  ///storing shared values for the edge pairs. The usual
592  ///\ref GraphSkeleton::EdgeMap "EdgeMap"
593  ///can be used
594  ///as well.
595  ///
596  ///The oppositely directed edge can also be obtained easily
597  ///using \ref opposite.
598  ///
599  ///Here erase(Edge) deletes a pair of edges.
600  ///
601  ///\todo this date structure need some reconsiderations. Maybe it
602  ///should be implemented independently from ListGraph.
603
604  class SymListGraph : public ListGraph
605  {
606  public:
607    template<typename T> class SymEdgeMap;
608    template<typename T> friend class SymEdgeMap;
609
610    SymListGraph() : ListGraph() { }
611    SymListGraph(const ListGraph &_g) : ListGraph(_g) { }
612    ///Adds a pair of oppositely directed edges to the graph.
613    Edge addEdge(Node u, Node v)
614    {
615      Edge e = ListGraph::addEdge(u,v);
616      ListGraph::addEdge(v,u);
617      return e;
618    }
619
620    void erase(Node n) { ListGraph::erase(n); }
621    ///The oppositely directed edge.
622
623    ///Returns the oppositely directed
624    ///pair of the edge \c e.
625    Edge opposite(Edge e) const
626    {
627      Edge f;
628      f.idref() = e.idref() - 2*(e.idref()%2) + 1;
629      return f;
630    }
631   
632    ///Removes a pair of oppositely directed edges to the graph.
633    void erase(Edge e) {
634      ListGraph::erase(opposite(e));
635      ListGraph::erase(e);
636    }
637   
638    ///Common data storage for the edge pairs.
639
640    ///This map makes it possible to store data shared by the oppositely
641    ///directed pairs of edges.
642    template <typename T> class SymEdgeMap : public DynMapBase<Edge>
643    {
644      std::vector<T> container;
645     
646    public:
647      typedef T ValueType;
648      typedef Edge KeyType;
649
650      SymEdgeMap(const SymListGraph &_G) :
651        DynMapBase<Edge>(_G), container(_G.maxEdgeId()/2)
652      {
653        static_cast<const SymListGraph*>(G)->dyn_edge_maps.push_back(this);
654      }
655      SymEdgeMap(const SymListGraph &_G,const T &t) :
656        DynMapBase<Edge>(_G), container(_G.maxEdgeId()/2,t)
657      {
658        G->dyn_edge_maps.push_back(this);
659      }
660
661      SymEdgeMap(const SymEdgeMap<T> &m) :
662        DynMapBase<SymEdge>(*m.G), container(m.container)
663      {
664        G->dyn_node_maps.push_back(this);
665      }
666
667      //      template<typename TT> friend class SymEdgeMap;
668
669      ///\todo It can copy between different types.
670      ///
671
672      template<typename TT> SymEdgeMap(const SymEdgeMap<TT> &m) :
673        DynMapBase<SymEdge>(*m.G), container(m.container.size())
674      {
675        G->dyn_node_maps.push_back(this);
676        typename std::vector<TT>::const_iterator i;
677        for(typename std::vector<TT>::const_iterator i=m.container.begin();
678            i!=m.container.end();
679            i++)
680          container.push_back(*i);
681      }
682 
683      ~SymEdgeMap()
684      {
685        if(G) {
686          std::vector<DynMapBase<Edge>* >::iterator i;
687          for(i=static_cast<const SymListGraph*>(G)->dyn_edge_maps.begin();
688              i!=static_cast<const SymListGraph*>(G)->dyn_edge_maps.end()
689                && *i!=this; ++i) ;
690          //if(*i==this) G->dyn_edge_maps.erase(i); //Way too slow...
691          //A better way to do that: (Is this really important?)
692          if(*i==this) {
693            *i=static_cast<const SymListGraph*>(G)->dyn_edge_maps.back();
694            static_cast<const SymListGraph*>(G)->dyn_edge_maps.pop_back();
695          }
696        }
697      }
698     
699      void add(const Edge k)
700      {
701        if(!k.idref()%2&&k.idref()/2>=int(container.size()))
702          container.resize(k.idref()/2+1);
703      }
704      void erase(const Edge k) { }
705     
706      void set(Edge n, T a) { container[n.idref()/2]=a; }
707      //T get(Edge n) const { return container[n.idref()/2]; }
708      typename std::vector<T>::reference
709      operator[](Edge n) { return container[n.idref()/2]; }
710      typename std::vector<T>::const_reference
711      operator[](Edge n) const { return container[n.idref()/2]; }
712
713      ///\warning There is no safety check at all!
714      ///Using operator = between maps attached to different graph may
715      ///cause serious problem.
716      ///\todo Is this really so?
717      ///\todo It can copy between different types.
718      const SymEdgeMap<T>& operator=(const SymEdgeMap<T> &m)
719      {
720        container = m.container;
721        return *this;
722      }
723      template<typename TT>
724      const SymEdgeMap<T>& operator=(const SymEdgeMap<TT> &m)
725      {
726        std::copy(m.container.begin(), m.container.end(), container.begin());
727        return *this;
728      }
729     
730      void update() {}    //Useless for DynMaps
731      void update(T a) {}  //Useless for DynMaps
732
733    };
734
735  };
736 
737
738  ///A graph class containing only nodes.
739
740  ///This class implements a graph structure without edges.
741  ///The most useful application of this class is to be the node set of an
742  ///\ref EdgeSet class.
743  ///
744  ///It conforms to the graph interface documented under
745  ///the description of \ref GraphSkeleton with the exception that you cannot
746  ///add (or delete) edges. The usual edge iterators are exists, but they are
747  ///always \ref INVALID.
748  ///\sa \ref GraphSkeleton
749  ///\sa \ref EdgeSet
750  class NodeSet {
751
752    //Nodes are double linked.
753    //The free nodes are only single linked using the "next" field.
754    struct NodeT
755    {
756      int first_in,first_out;
757      int prev, next;
758      //      NodeT() {}
759    };
760
761    std::vector<NodeT> nodes;
762    //The first node
763    int first_node;
764    //The first free node
765    int first_free_node;
766   
767  protected:
768   
769    template <typename Key> class DynMapBase
770    {
771    protected:
772      const NodeSet* G;
773    public:
774      virtual void add(const Key k) = 0;
775      virtual void erase(const Key k) = 0;
776      DynMapBase(const NodeSet &_G) : G(&_G) {}
777      virtual ~DynMapBase() {}
778      friend class NodeSet;
779    };
780   
781  public:
782    template <typename T> class EdgeMap;
783    template <typename T> class NodeMap;
784   
785    class Node;
786    class Edge;
787
788    //  protected:
789    // HELPME:
790  protected:
791    ///\bug It must be public because of SymEdgeMap.
792    ///
793    mutable std::vector<DynMapBase<Node> * > dyn_node_maps;
794    //mutable std::vector<DynMapBase<Edge> * > dyn_edge_maps;
795   
796  public:
797
798    class NodeIt;
799    class EdgeIt;
800    class OutEdgeIt;
801    class InEdgeIt;
802   
803    template <typename T> class NodeMap;
804    template <typename T> class EdgeMap;
805   
806  public:
807
808    ///Default constructor
809    NodeSet() : nodes(), first_node(-1),
810                  first_free_node(-1) {}
811    ///Copy constructor
812    NodeSet(const NodeSet &_g) : nodes(_g.nodes), first_node(_g.first_node),
813                                     first_free_node(_g.first_free_node) {}
814   
815    ~NodeSet()
816    {
817      for(std::vector<DynMapBase<Node> * >::iterator i=dyn_node_maps.begin();
818          i!=dyn_node_maps.end(); ++i) (**i).G=NULL;
819      //for(std::vector<DynMapBase<Edge> * >::iterator i=dyn_edge_maps.begin();
820      //          i!=dyn_edge_maps.end(); ++i) (**i).G=NULL;
821    }
822
823    int nodeNum() const { return nodes.size(); }  //FIXME: What is this?
824    int edgeNum() const { return 0; }  //FIXME: What is this?
825
826    ///\bug This function does something different than
827    ///its name would suggests...
828    int maxNodeId() const { return nodes.size(); }  //FIXME: What is this?
829    ///\bug This function does something different than
830    ///its name would suggests...
831    int maxEdgeId() const { return 0; }  //FIXME: What is this?
832
833    Node tail(Edge e) const { return INVALID; }
834    Node head(Edge e) const { return INVALID; }
835
836    Node aNode(OutEdgeIt e) const { return INVALID; }
837    Node aNode(InEdgeIt e) const { return INVALID; }
838
839    Node bNode(OutEdgeIt e) const { return INVALID; }
840    Node bNode(InEdgeIt e) const { return INVALID; }
841
842    NodeIt& first(NodeIt& v) const {
843      v=NodeIt(*this); return v; }
844    EdgeIt& first(EdgeIt& e) const {
845      e=EdgeIt(*this); return e; }
846    OutEdgeIt& first(OutEdgeIt& e, const Node v) const {
847      e=OutEdgeIt(*this,v); return e; }
848    InEdgeIt& first(InEdgeIt& e, const Node v) const {
849      e=InEdgeIt(*this,v); return e; }
850
851//     template< typename It >
852//     It first() const { It e; first(e); return e; }
853
854//     template< typename It >
855//     It first(Node v) const { It e; first(e,v); return e; }
856
857    bool valid(Edge e) const { return false; }
858    bool valid(Node n) const { return n.n!=-1; }
859   
860    void setInvalid(Edge &e) { }
861    void setInvalid(Node &n) { n.n=-1; }
862   
863    template <typename It> It getNext(It it) const
864    { It tmp(it); return next(tmp); }
865
866    NodeIt& next(NodeIt& it) const {
867      it.n=nodes[it.n].next;
868      return it;
869    }
870    OutEdgeIt& next(OutEdgeIt& it) const { return it; }
871    InEdgeIt& next(InEdgeIt& it) const { return it; }
872    EdgeIt& next(EdgeIt& it) const { return it; }
873
874    int id(Node v) const { return v.n; }
875    int id(Edge e) const { return -1; }
876
877    /// Adds a new node to the graph.
878
879    /// \todo It adds the nodes in a reversed order.
880    /// (i.e. the lastly added node becomes the first.)
881    Node addNode() {
882      int n;
883     
884      if(first_free_node==-1)
885        {
886          n = nodes.size();
887          nodes.push_back(NodeT());
888        }
889      else {
890        n = first_free_node;
891        first_free_node = nodes[n].next;
892      }
893     
894      nodes[n].next = first_node;
895      if(first_node != -1) nodes[first_node].prev = n;
896      first_node = n;
897      nodes[n].prev = -1;
898     
899      nodes[n].first_in = nodes[n].first_out = -1;
900     
901      Node nn; nn.n=n;
902
903      //Update dynamic maps
904      for(std::vector<DynMapBase<Node> * >::iterator i=dyn_node_maps.begin();
905          i!=dyn_node_maps.end(); ++i) (**i).add(nn);
906
907      return nn;
908    }
909   
910    void erase(Node nn) {
911      int n=nn.n;
912     
913      if(nodes[n].next != -1) nodes[nodes[n].next].prev = nodes[n].prev;
914      if(nodes[n].prev != -1) nodes[nodes[n].prev].next = nodes[n].next;
915      else first_node = nodes[n].next;
916     
917      nodes[n].next = first_free_node;
918      first_free_node = n;
919
920      //Update dynamic maps
921      for(std::vector<DynMapBase<Node> * >::iterator i=dyn_node_maps.begin();
922          i!=dyn_node_maps.end(); ++i) (**i).erase(nn);
923    }
924   
925    ///\bug Dynamic maps must be updated!
926    ///
927    void clear() {
928      nodes.clear();
929      first_node = first_free_node = -1;
930    }
931
932    class Node {
933      friend class NodeSet;
934      template <typename T> friend class NodeMap;
935     
936      friend class Edge;
937      friend class OutEdgeIt;
938      friend class InEdgeIt;
939
940    protected:
941      int n;
942      friend int NodeSet::id(Node v) const;
943      Node(int nn) {n=nn;}
944    public:
945      Node() {}
946      Node (Invalid i) { n=-1; }
947      bool operator==(const Node i) const {return n==i.n;}
948      bool operator!=(const Node i) const {return n!=i.n;}
949      bool operator<(const Node i) const {return n<i.n;}
950    };
951   
952    class NodeIt : public Node {
953      friend class NodeSet;
954    public:
955      NodeIt() : Node() { }
956      NodeIt(Invalid i) : Node(i) { }
957      NodeIt(const NodeSet& G) : Node(G.first_node) { }
958      ///\todo Undocumented conversion Node -\> NodeIt.
959      NodeIt(const NodeSet& G, const Node &n) : Node(n) { }
960
961    };
962
963    class Edge {
964      //friend class NodeSet;
965      //template <typename T> friend class EdgeMap;
966
967      //template <typename T> friend class SymNodeSet::SymEdgeMap;     
968      //friend Edge SymNodeSet::opposite(Edge) const;
969     
970      //      friend class Node;
971      //      friend class NodeIt;
972    protected:
973      //friend int NodeSet::id(Edge e) const;
974      //      Edge(int nn) {}
975    public:
976      Edge() { }
977      Edge (Invalid) { }
978      bool operator==(const Edge i) const {return true;}
979      bool operator!=(const Edge i) const {return false;}
980      bool operator<(const Edge i) const {return false;}
981      ///\bug This is a workaround until somebody tells me how to
982      ///make class \c SymNodeSet::SymEdgeMap friend of Edge
983      //      int idref() {return -1;}
984      //      int idref() const {return -1;}
985    };
986   
987    class EdgeIt : public Edge {
988      //friend class NodeSet;
989    public:
990      EdgeIt(const NodeSet& G) : Edge() { }
991      EdgeIt (Invalid i) : Edge(i) { }
992      EdgeIt() : Edge() { }
993      ///\bug This is a workaround until somebody tells me how to
994      ///make class \c SymNodeSet::SymEdgeMap friend of Edge
995      //      int idref() {return -1;}
996    };
997   
998    class OutEdgeIt : public Edge {
999      friend class NodeSet;
1000    public:
1001      OutEdgeIt() : Edge() { }
1002      OutEdgeIt (Invalid i) : Edge(i) { }
1003      OutEdgeIt(const NodeSet& G,const Node v)  : Edge() {}
1004    };
1005   
1006    class InEdgeIt : public Edge {
1007      friend class NodeSet;
1008    public:
1009      InEdgeIt() : Edge() { }
1010      InEdgeIt (Invalid i) : Edge(i) { }
1011      InEdgeIt(const NodeSet& G,Node v) :Edge() {}
1012    };
1013
1014    template <typename T> class NodeMap : public DynMapBase<Node>
1015    {
1016      std::vector<T> container;
1017
1018    public:
1019      typedef T ValueType;
1020      typedef Node KeyType;
1021
1022      NodeMap(const NodeSet &_G) :
1023        DynMapBase<Node>(_G), container(_G.maxNodeId())
1024      {
1025        G->dyn_node_maps.push_back(this);
1026      }
1027      NodeMap(const NodeSet &_G,const T &t) :
1028        DynMapBase<Node>(_G), container(_G.maxNodeId(),t)
1029      {
1030        G->dyn_node_maps.push_back(this);
1031      }
1032     
1033      NodeMap(const NodeMap<T> &m) :
1034        DynMapBase<Node>(*m.G), container(m.container)
1035      {
1036        G->dyn_node_maps.push_back(this);
1037      }
1038
1039      template<typename TT> friend class NodeMap;
1040 
1041      ///\todo It can copy between different types.
1042      ///
1043      template<typename TT> NodeMap(const NodeMap<TT> &m) :
1044        DynMapBase<Node>(*m.G), container(m.container.size())
1045      {
1046        G->dyn_node_maps.push_back(this);
1047        typename std::vector<TT>::const_iterator i;
1048        for(typename std::vector<TT>::const_iterator i=m.container.begin();
1049            i!=m.container.end();
1050            i++)
1051          container.push_back(*i);
1052      }
1053      ~NodeMap()
1054      {
1055        if(G) {
1056          std::vector<DynMapBase<Node>* >::iterator i;
1057          for(i=G->dyn_node_maps.begin();
1058              i!=G->dyn_node_maps.end() && *i!=this; ++i) ;
1059          //if(*i==this) G->dyn_node_maps.erase(i); //FIXME: Way too slow...
1060          //A better way to do that: (Is this really important?)
1061          if(*i==this) {
1062            *i=G->dyn_node_maps.back();
1063            G->dyn_node_maps.pop_back();
1064          }
1065        }
1066      }
1067
1068      void add(const Node k)
1069      {
1070        if(k.n>=int(container.size())) container.resize(k.n+1);
1071      }
1072
1073      void erase(const Node) { }
1074     
1075      void set(Node n, T a) { container[n.n]=a; }
1076      //'T& operator[](Node n)' would be wrong here
1077      typename std::vector<T>::reference
1078      operator[](Node n) { return container[n.n]; }
1079      //'const T& operator[](Node n)' would be wrong here
1080      typename std::vector<T>::const_reference
1081      operator[](Node n) const { return container[n.n]; }
1082
1083      ///\warning There is no safety check at all!
1084      ///Using operator = between maps attached to different graph may
1085      ///cause serious problem.
1086      ///\todo Is this really so?
1087      ///\todo It can copy between different types.
1088      const NodeMap<T>& operator=(const NodeMap<T> &m)
1089      {
1090        container = m.container;
1091        return *this;
1092      }
1093      template<typename TT>
1094      const NodeMap<T>& operator=(const NodeMap<TT> &m)
1095      {
1096        std::copy(m.container.begin(), m.container.end(), container.begin());
1097        return *this;
1098      }
1099     
1100      void update() {}    //Useless for Dynamic Maps
1101      void update(T a) {}  //Useless for Dynamic Maps
1102    };
1103   
1104    template <typename T> class EdgeMap
1105    {
1106    public:
1107      typedef T ValueType;
1108      typedef Edge KeyType;
1109
1110      EdgeMap(const NodeSet &) { }
1111      EdgeMap(const NodeSet &,const T &) { }
1112      EdgeMap(const EdgeMap<T> &) { }
1113      //      template<typename TT> friend class EdgeMap;
1114
1115      ///\todo It can copy between different types.
1116      ///
1117      template<typename TT> EdgeMap(const EdgeMap<TT> &) { }
1118      ~EdgeMap() { }
1119
1120      void add(const Edge  ) { }
1121      void erase(const Edge) { }
1122     
1123      void set(Edge, T) { }
1124      //T get(Edge n) const { return container[n.n]; }
1125      ValueType &operator[](Edge) { return *((T*)(NULL)); }
1126      const ValueType &operator[](Edge) const { return *((T*)(NULL)); }
1127
1128      const EdgeMap<T>& operator=(const EdgeMap<T> &) { return *this; }
1129   
1130      template<typename TT>
1131      const EdgeMap<T>& operator=(const EdgeMap<TT> &m) { return *this; }
1132     
1133      void update() {}
1134      void update(T a) {}
1135    };
1136  };
1137
1138
1139
1140  ///Graph structure using a node set of another graph.
1141
1142  ///This structure can be used to establish another graph over a node set
1143  /// of an existing one. The node iterator will go through the nodes of the
1144  /// original graph, and the NodeMap's of both graphs will convert to
1145  /// each other.
1146  ///
1147  ///\warning Adding or deleting nodes from the graph is not safe if an
1148  ///\ref EdgeSet is currently attached to it!
1149  ///
1150  ///\todo Make it possible to add/delete edges from the base graph
1151  ///(and from \ref EdgeSet, as well)
1152  ///
1153  ///\param GG The type of the graph which shares its node set with this class.
1154  ///Its interface must conform with \ref GraphSkeleton.
1155  ///
1156  ///It conforms to the graph interface documented under
1157  ///the description of \ref GraphSkeleton.
1158  ///\sa \ref GraphSkeleton.
1159  ///\sa \ref NodeSet.
1160  template<typename GG>
1161  class EdgeSet {
1162
1163    typedef GG NodeGraphType;
1164
1165    NodeGraphType &G;
1166
1167  public:
1168    class Node;
1169    int id(Node v) const;
1170
1171    class Node : public NodeGraphType::Node {
1172      friend class EdgeSet;
1173      //      template <typename T> friend class NodeMap;
1174     
1175      friend class Edge;
1176      friend class OutEdgeIt;
1177      friend class InEdgeIt;
1178      friend class SymEdge;
1179
1180    public:
1181      friend int EdgeSet::id(Node v) const;
1182      //      Node(int nn) {n=nn;}
1183    public:
1184      Node() : NodeGraphType::Node() {}
1185      Node (Invalid i) : NodeGraphType::Node(i) {}
1186      Node(const typename NodeGraphType::Node &n) : NodeGraphType::Node(n) {}
1187    };
1188   
1189    class NodeIt : public NodeGraphType::NodeIt {
1190      friend class EdgeSet;
1191    public:
1192      NodeIt() : NodeGraphType::NodeIt() { }
1193      NodeIt (Invalid i) : NodeGraphType::NodeIt(i) {}
1194      NodeIt(const EdgeSet& _G) : NodeGraphType::NodeIt(_G.G) { }
1195      NodeIt(const typename NodeGraphType::NodeIt &n)
1196        : NodeGraphType::NodeIt(n) {}
1197      ///\todo Undocumented conversion Node -\> NodeIt.
1198      NodeIt(const EdgeSet& _G, const Node &n)
1199        : NodeGraphType::NodeIt(_G.G,n) { }
1200
1201      operator Node() { return Node(*this);}
1202    };
1203
1204  private:
1205    //Edges are double linked.
1206    //The free edges are only single linked using the "next_in" field.
1207    struct NodeT
1208    {
1209      int first_in,first_out;
1210      NodeT() : first_in(-1), first_out(-1) { }
1211    };
1212
1213    struct EdgeT
1214    {
1215      Node head, tail;
1216      int prev_in, prev_out;
1217      int next_in, next_out;
1218    };
1219
1220   
1221    typename NodeGraphType::template NodeMap<NodeT> nodes;
1222   
1223    std::vector<EdgeT> edges;
1224    //The first free edge
1225    int first_free_edge;
1226   
1227  protected:
1228   
1229    template <typename Key> class DynMapBase
1230    {
1231    protected:
1232      const EdgeSet* G;
1233    public:
1234      virtual void add(const Key k) = 0;
1235      virtual void erase(const Key k) = 0;
1236      DynMapBase(const EdgeSet &_G) : G(&_G) {}
1237      virtual ~DynMapBase() {}
1238      friend class EdgeSet;
1239    };
1240   
1241  public:
1242    //template <typename T> class NodeMap;
1243    template <typename T> class EdgeMap;
1244   
1245    class Node;
1246    class Edge;
1247
1248    //  protected:
1249    // HELPME:
1250  protected:
1251    // mutable std::vector<DynMapBase<Node> * > dyn_node_maps;
1252    ///\bug It must be public because of SymEdgeMap.
1253    ///
1254    mutable std::vector<DynMapBase<Edge> * > dyn_edge_maps;
1255   
1256  public:
1257
1258    class NodeIt;
1259    class EdgeIt;
1260    class OutEdgeIt;
1261    class InEdgeIt;
1262   
1263    template <typename T> class NodeMap;
1264    template <typename T> class EdgeMap;
1265   
1266  public:
1267
1268    ///Constructor
1269   
1270    ///Construates a new graph based on the nodeset of an existing one.
1271    ///\param _G the base graph.
1272    ///\todo It looks like a copy constructor, but it isn't.
1273    EdgeSet(NodeGraphType &_G) : G(_G),
1274                                 nodes(_G), edges(),
1275                                 first_free_edge(-1) { }
1276    ///Copy constructor
1277
1278    ///Makes a copy of an EdgeSet.
1279    ///It will be based on the same graph.
1280    EdgeSet(const EdgeSet &_g) : G(_g.G), nodes(_g.G), edges(_g.edges),
1281                                 first_free_edge(_g.first_free_edge) { }
1282   
1283    ~EdgeSet()
1284    {
1285      // for(std::vector<DynMapBase<Node> * >::iterator i=dyn_node_maps.begin();
1286      //  i!=dyn_node_maps.end(); ++i) (**i).G=NULL;
1287      for(typename std::vector<DynMapBase<Edge> * >::iterator
1288            i=dyn_edge_maps.begin();
1289          i!=dyn_edge_maps.end(); ++i) (**i).G=NULL;
1290    }
1291
1292    int nodeNum() const { return G.nodeNum(); }  //FIXME: What is this?
1293    int edgeNum() const { return edges.size(); }  //FIXME: What is this?
1294
1295    ///\bug This function does something different than
1296    ///its name would suggests...
1297    int maxNodeId() const { return G.maxNodeId(); }  //FIXME: What is this?
1298    ///\bug This function does something different than
1299    ///its name would suggests...
1300    int maxEdgeId() const { return edges.size(); }  //FIXME: What is this?
1301
1302    Node tail(Edge e) const { return edges[e.n].tail; }
1303    Node head(Edge e) const { return edges[e.n].head; }
1304
1305    Node aNode(OutEdgeIt e) const { return edges[e.n].tail; }
1306    Node aNode(InEdgeIt e) const { return edges[e.n].head; }
1307
1308    Node bNode(OutEdgeIt e) const { return edges[e.n].head; }
1309    Node bNode(InEdgeIt e) const { return edges[e.n].tail; }
1310
1311    NodeIt& first(NodeIt& v) const {
1312      v=NodeIt(*this); return v; }
1313    EdgeIt& first(EdgeIt& e) const {
1314      e=EdgeIt(*this); return e; }
1315    OutEdgeIt& first(OutEdgeIt& e, const Node v) const {
1316      e=OutEdgeIt(*this,v); return e; }
1317    InEdgeIt& first(InEdgeIt& e, const Node v) const {
1318      e=InEdgeIt(*this,v); return e; }
1319
1320//     template< typename It >
1321//     It first() const { It e; first(e); return e; }
1322
1323//     template< typename It >
1324//     It first(Node v) const { It e; first(e,v); return e; }
1325
1326    bool valid(Edge e) const { return e.n!=-1; }
1327    bool valid(Node n) const { return G.valid(n); }
1328   
1329    void setInvalid(Edge &e) { e.n=-1; }
1330    void setInvalid(Node &n) { G.setInvalid(n); }
1331   
1332    template <typename It> It getNext(It it) const
1333    { It tmp(it); return next(tmp); }
1334
1335    NodeIt& next(NodeIt& it) const { G.next(it); return it; }
1336    OutEdgeIt& next(OutEdgeIt& it) const
1337    { it.n=edges[it.n].next_out; return it; }
1338    InEdgeIt& next(InEdgeIt& it) const
1339    { it.n=edges[it.n].next_in; return it; }
1340    EdgeIt& next(EdgeIt& it) const {
1341      if(edges[it.n].next_in!=-1) {
1342        it.n=edges[it.n].next_in;
1343      }
1344      else {
1345        NodeIt n(*this,edges[it.n].head);
1346        for(n=next(n);
1347            valid(n) && nodes[n].first_in == -1;
1348            next(n)) ;
1349        it.n = (valid(n))?-1:nodes[n].first_in;
1350      }
1351      return it;
1352    }
1353
1354    int id(Edge e) const { return e.n; }
1355
1356    /// Adds a new node to the graph.
1357    Node addNode() { return G.addNode(); }
1358   
1359    Edge addEdge(Node u, Node v) {
1360      int n;
1361     
1362      if(first_free_edge==-1)
1363        {
1364          n = edges.size();
1365          edges.push_back(EdgeT());
1366        }
1367      else {
1368        n = first_free_edge;
1369        first_free_edge = edges[n].next_in;
1370      }
1371     
1372      edges[n].tail = u; edges[n].head = v;
1373
1374      edges[n].next_out = nodes[u].first_out;
1375      if(nodes[u].first_out != -1) edges[nodes[u].first_out].prev_out = n;
1376      edges[n].next_in = nodes[v].first_in;
1377      if(nodes[v].first_in != -1) edges[nodes[v].first_in].prev_in = n;
1378      edges[n].prev_in = edges[n].prev_out = -1;
1379       
1380      nodes[u].first_out = nodes[v].first_in = n;
1381
1382      Edge e; e.n=n;
1383
1384      //Update dynamic maps
1385      for(typename std::vector<DynMapBase<Edge> * >::iterator
1386            i=dyn_edge_maps.begin();
1387          i!=dyn_edge_maps.end(); ++i) (**i).add(e);
1388
1389      return e;
1390    }
1391
1392  private:
1393    void eraseEdge(int n) {
1394     
1395      if(edges[n].next_in!=-1)
1396        edges[edges[n].next_in].prev_in = edges[n].prev_in;
1397      if(edges[n].prev_in!=-1)
1398        edges[edges[n].prev_in].next_in = edges[n].next_in;
1399      else nodes[edges[n].head].first_in = edges[n].next_in;
1400     
1401      if(edges[n].next_out!=-1)
1402        edges[edges[n].next_out].prev_out = edges[n].prev_out;
1403      if(edges[n].prev_out!=-1)
1404        edges[edges[n].prev_out].next_out = edges[n].next_out;
1405      else nodes[edges[n].tail].first_out = edges[n].next_out;
1406     
1407      edges[n].next_in = first_free_edge;
1408      first_free_edge = -1;     
1409
1410      //Update dynamic maps
1411      Edge e; e.n=n;
1412      for(typename std::vector<DynMapBase<Edge> * >::iterator
1413            i=dyn_edge_maps.begin();
1414          i!=dyn_edge_maps.end(); ++i) (**i).erase(e);
1415    }
1416     
1417  public:
1418
1419//     void erase(Node nn) {
1420//       int n=nn.n;
1421//       int m;
1422//       while((m=nodes[n].first_in)!=-1) eraseEdge(m);
1423//       while((m=nodes[n].first_out)!=-1) eraseEdge(m);
1424//     }
1425   
1426    void erase(Edge e) { eraseEdge(e.n); }
1427
1428    ///Clear all edges. (Doesn't clear the nodes!)
1429    void clear() {
1430      edges.clear();
1431      first_free_edge=-1;
1432    }
1433
1434
1435//     //\bug Dynamic maps must be updated!
1436//     //
1437//     void clear() {
1438//       nodes.clear();edges.clear();
1439//       first_node=first_free_node=first_free_edge=-1;
1440//     }
1441
1442  public:
1443    template <typename T> class EdgeMap;
1444   
1445    ///
1446    class Edge {
1447    public:
1448      friend class EdgeSet;
1449      template <typename T> friend class EdgeMap;
1450
1451      friend class Node;
1452      friend class NodeIt;
1453    public:
1454      ///\bug It shoud be at least protected
1455      ///
1456      int n;
1457    protected:
1458      friend int EdgeSet::id(Edge e) const;
1459
1460      Edge(int nn) {n=nn;}
1461    public:
1462      Edge() { }
1463      Edge (Invalid) { n=-1; }
1464      bool operator==(const Edge i) const {return n==i.n;}
1465      bool operator!=(const Edge i) const {return n!=i.n;}
1466      bool operator<(const Edge i) const {return n<i.n;}
1467      ///\bug This is a workaround until somebody tells me how to
1468      ///make class \c SymEdgeSet::SymEdgeMap friend of Edge
1469      int &idref() {return n;}
1470      const int &idref() const {return n;}
1471    };
1472   
1473    class EdgeIt : public Edge {
1474      friend class EdgeSet;
1475      template <typename T> friend class EdgeMap;
1476   
1477     
1478    public:
1479      EdgeIt(const EdgeSet& G) : Edge() {
1480        //              typename NodeGraphType::Node m;
1481        NodeIt m;
1482        for(G.first(m);
1483            G.valid(m) && G.nodes[m].first_in == -1;  G.next(m));
1484        //AJJAJ! This is a non sense!!!!!!!
1485        this->n = G.valid(m)?-1:G.nodes[m].first_in;
1486      }
1487      EdgeIt (Invalid i) : Edge(i) { }
1488      EdgeIt() : Edge() { }
1489      ///\bug This is a workaround until somebody tells me how to
1490      ///make class \c SymEdgeSet::SymEdgeMap friend of Edge
1491      int &idref() {return this->n;}
1492    };
1493   
1494    class OutEdgeIt : public Edge {
1495      friend class EdgeSet;
1496    public:
1497      OutEdgeIt() : Edge() { }
1498      OutEdgeIt (Invalid i) : Edge(i) { }
1499
1500      OutEdgeIt(const EdgeSet& G,const Node v) : Edge(G.nodes[v].first_out) { }
1501    };
1502   
1503    class InEdgeIt : public Edge {
1504      friend class EdgeSet;
1505    public:
1506      InEdgeIt() : Edge() { }
1507      InEdgeIt (Invalid i) : Edge(i) { }
1508      InEdgeIt(const EdgeSet& G,Node v) :Edge(G.nodes[v].first_in) { }
1509    };
1510
1511    template <typename T> class NodeMap :
1512      public NodeGraphType::template NodeMap<T>
1513    {
1514      //This is a must, the constructors need it.
1515      typedef typename NodeGraphType::template NodeMap<T> ParentNodeMap;
1516    public:
1517      NodeMap(const EdgeSet &_G) : ParentNodeMap(_G.G) { }
1518      NodeMap(const EdgeSet &_G,const T &t) : ParentNodeMap(_G.G,t) { }
1519      //It is unnecessary
1520      NodeMap(const typename NodeGraphType::template NodeMap<T> &m) :
1521        ParentNodeMap(m) { }
1522
1523      ///\todo It can copy between different types.
1524      ///
1525      template<typename TT>
1526      NodeMap(const typename NodeGraphType::template NodeMap<TT> &m)
1527        : ParentNodeMap(m) { }
1528    };
1529   
1530    ///
1531    template <typename T> class EdgeMap : public DynMapBase<Edge>
1532    {
1533    protected:
1534    public:
1535      ///\bug It should be at least protected
1536      ///
1537      std::vector<T> container;
1538
1539    public:
1540      typedef T ValueType;
1541      typedef Edge KeyType;
1542
1543      EdgeMap(const EdgeSet &_G) :
1544        DynMapBase<Edge>(_G), container(_G.maxEdgeId())
1545      {
1546        //FIXME: What if there are empty Id's?
1547        //FIXME: Can I use 'this' in a constructor?
1548        G->dyn_edge_maps.push_back(this);
1549      }
1550      EdgeMap(const EdgeSet &_G,const T &t) :
1551        DynMapBase<Edge>(_G), container(_G.maxEdgeId(),t)
1552      {
1553        G->dyn_edge_maps.push_back(this);
1554      }
1555      EdgeMap(const EdgeMap<T> &m) :
1556        DynMapBase<Edge>(*m.G), container(m.container)
1557      {
1558        G->dyn_edge_maps.push_back(this);
1559      }
1560
1561      template<typename TT> friend class EdgeMap;
1562
1563      ///\todo It can copy between different types.
1564      ///
1565      template<typename TT> EdgeMap(const EdgeMap<TT> &m) :
1566        DynMapBase<Edge>(*m.G), container(m.container.size())
1567      {
1568        G->dyn_edge_maps.push_back(this);
1569        typename std::vector<TT>::const_iterator i;
1570        for(typename std::vector<TT>::const_iterator i=m.container.begin();
1571            i!=m.container.end();
1572            i++)
1573          container.push_back(*i);
1574      }
1575      ~EdgeMap()
1576      {
1577        if(G) {
1578          typename std::vector<DynMapBase<Edge>* >::iterator i;
1579          for(i=G->dyn_edge_maps.begin();
1580              i!=G->dyn_edge_maps.end() && *i!=this; ++i) ;
1581          //if(*i==this) G->dyn_edge_maps.erase(i); //Way too slow...
1582          //A better way to do that: (Is this really important?)
1583          if(*i==this) {
1584            *i=G->dyn_edge_maps.back();
1585            G->dyn_edge_maps.pop_back();
1586          }
1587        }
1588      }
1589     
1590      void add(const Edge k)
1591      {
1592        if(k.n>=int(container.size())) container.resize(k.n+1);
1593      }
1594      void erase(const Edge) { }
1595     
1596      ///\bug This doesn't work. Why?
1597      ///      void set(Edge n, T a) { container[n.n]=a; }
1598      void set(Edge n, T a) { container[G->id(n)]=a; }
1599      //T get(Edge n) const { return container[n.n]; }
1600      typename std::vector<T>::reference
1601      ///\bug This doesn't work. Why?
1602      ///      operator[](Edge n) { return container[n.n]; }
1603      operator[](Edge n) { return container[G->id(n)]; }
1604      typename std::vector<T>::const_reference
1605      ///\bug This doesn't work. Why?
1606      ///      operator[](Edge n) const { return container[n.n]; }
1607      operator[](Edge n) const { return container[G->id(n)]; }
1608
1609      ///\warning There is no safety check at all!
1610      ///Using operator = between maps attached to different graph may
1611      ///cause serious problem.
1612      ///\todo Is this really so?
1613      ///\todo It can copy between different types.
1614      const EdgeMap<T>& operator=(const EdgeMap<T> &m)
1615      {
1616        container = m.container;
1617        return *this;
1618      }
1619     
1620      template<typename TT> friend class EdgeMap;
1621
1622      template<typename TT>
1623      const EdgeMap<T>& operator=(const EdgeMap<TT> &m)
1624      {
1625        std::copy(m.container.begin(), m.container.end(), container.begin());
1626        return *this;
1627      }
1628     
1629      void update() {}    //Useless for DynMaps
1630      void update(T a) {}  //Useless for DynMaps
1631    };
1632
1633  };
1634
1635  template<typename GG>
1636  inline int EdgeSet<GG>::id(Node v) const { return G.id(v); }
1637
1638/// @} 
1639
1640} //namespace hugo
1641
1642#endif //HUGO_LIST_GRAPH_H
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