COIN-OR::LEMON - Graph Library

source: lemon-0.x/lemon/dfs.h @ 1438:826bdac3525a

Last change on this file since 1438:826bdac3525a was 1438:826bdac3525a, checked in by athos, 15 years ago

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[906]1/* -*- C++ -*-
[1435]2 * lemon/dfs.h - Part of LEMON, a generic C++ optimization library
[906]3 *
[1164]4 * Copyright (C) 2005 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
[1359]5 * (Egervary Research Group on Combinatorial Optimization, EGRES).
[906]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
[921]17#ifndef LEMON_DFS_H
18#define LEMON_DFS_H
[780]19
20///\ingroup flowalgs
21///\file
[1218]22///\brief Dfs algorithm.
[780]23
[1218]24#include <lemon/list_graph.h>
[946]25#include <lemon/graph_utils.h>
[921]26#include <lemon/invalid.h>
[1218]27#include <lemon/error.h>
28#include <lemon/maps.h>
[780]29
[921]30namespace lemon {
[780]31
32
[1218]33 
34  ///Default traits class of Dfs class.
35
36  ///Default traits class of Dfs class.
37  ///\param GR Graph type.
38  template<class GR>
39  struct DfsDefaultTraits
40  {
41    ///The graph type the algorithm runs on.
42    typedef GR Graph;
43    ///\brief The type of the map that stores the last
44    ///edges of the %DFS paths.
45    ///
46    ///The type of the map that stores the last
47    ///edges of the %DFS paths.
48    ///It must meet the \ref concept::WriteMap "WriteMap" concept.
49    ///
50    typedef typename Graph::template NodeMap<typename GR::Edge> PredMap;
51    ///Instantiates a PredMap.
52 
53    ///This function instantiates a \ref PredMap.
54    ///\param G is the graph, to which we would like to define the PredMap.
55    ///\todo The graph alone may be insufficient to initialize
56    static PredMap *createPredMap(const GR &G)
57    {
58      return new PredMap(G);
59    }
60//     ///\brief The type of the map that stores the last but one
61//     ///nodes of the %DFS paths.
62//     ///
63//     ///The type of the map that stores the last but one
64//     ///nodes of the %DFS paths.
65//     ///It must meet the \ref concept::WriteMap "WriteMap" concept.
66//     ///
67//     typedef NullMap<typename Graph::Node,typename Graph::Node> PredNodeMap;
68//     ///Instantiates a PredNodeMap.
69   
70//     ///This function instantiates a \ref PredNodeMap.
71//     ///\param G is the graph, to which
72//     ///we would like to define the \ref PredNodeMap
73//     static PredNodeMap *createPredNodeMap(const GR &G)
74//     {
75//       return new PredNodeMap();
76//     }
77
78    ///The type of the map that indicates which nodes are processed.
79 
80    ///The type of the map that indicates which nodes are processed.
81    ///It must meet the \ref concept::WriteMap "WriteMap" concept.
82    ///\todo named parameter to set this type, function to read and write.
83    typedef NullMap<typename Graph::Node,bool> ProcessedMap;
84    ///Instantiates a ProcessedMap.
85 
86    ///This function instantiates a \ref ProcessedMap.
87    ///\param G is the graph, to which
88    ///we would like to define the \ref ProcessedMap
[1367]89    static ProcessedMap *createProcessedMap(const GR &)
[1218]90    {
91      return new ProcessedMap();
92    }
93    ///The type of the map that indicates which nodes are reached.
94 
95    ///The type of the map that indicates which nodes are reached.
96    ///It must meet the \ref concept::WriteMap "WriteMap" concept.
97    ///\todo named parameter to set this type, function to read and write.
98    typedef typename Graph::template NodeMap<bool> ReachedMap;
99    ///Instantiates a ReachedMap.
100 
101    ///This function instantiates a \ref ReachedMap.
102    ///\param G is the graph, to which
103    ///we would like to define the \ref ReachedMap.
104    static ReachedMap *createReachedMap(const GR &G)
105    {
106      return new ReachedMap(G);
107    }
108    ///The type of the map that stores the dists of the nodes.
109 
110    ///The type of the map that stores the dists of the nodes.
111    ///It must meet the \ref concept::WriteMap "WriteMap" concept.
112    ///
113    typedef typename Graph::template NodeMap<int> DistMap;
114    ///Instantiates a DistMap.
115 
116    ///This function instantiates a \ref DistMap.
117    ///\param G is the graph, to which we would like to define the \ref DistMap
118    static DistMap *createDistMap(const GR &G)
119    {
120      return new DistMap(G);
121    }
122  };
123 
[781]124  ///%DFS algorithm class.
[1218]125 
126  ///\ingroup flowalgs
127  ///This class provides an efficient implementation of the %DFS algorithm.
[780]128  ///
[1218]129  ///\param GR The graph type the algorithm runs on. The default value is
130  ///\ref ListGraph. The value of GR is not used directly by Dfs, it
131  ///is only passed to \ref DfsDefaultTraits.
132  ///\param TR Traits class to set various data types used by the algorithm.
133  ///The default traits class is
134  ///\ref DfsDefaultTraits "DfsDefaultTraits<GR>".
135  ///See \ref DfsDefaultTraits for the documentation of
136  ///a Dfs traits class.
[780]137  ///
[1218]138  ///\author Jacint Szabo and Alpar Juttner
139  ///\todo A compare object would be nice.
[780]140
141#ifdef DOXYGEN
[1218]142  template <typename GR,
143            typename TR>
[780]144#else
[1218]145  template <typename GR=ListGraph,
146            typename TR=DfsDefaultTraits<GR> >
[780]147#endif
[1218]148  class Dfs {
[780]149  public:
[1218]150    /**
151     * \brief \ref Exception for uninitialized parameters.
152     *
153     * This error represents problems in the initialization
154     * of the parameters of the algorithms.
155     */
156    class UninitializedParameter : public lemon::UninitializedParameter {
157    public:
158      virtual const char* exceptionName() const {
159        return "lemon::Dfs::UninitializedParameter";
160      }
161    };
162
163    typedef TR Traits;
[780]164    ///The type of the underlying graph.
[1218]165    typedef typename TR::Graph Graph;
[911]166    ///\e
[780]167    typedef typename Graph::Node Node;
[911]168    ///\e
[780]169    typedef typename Graph::NodeIt NodeIt;
[911]170    ///\e
[780]171    typedef typename Graph::Edge Edge;
[911]172    ///\e
[780]173    typedef typename Graph::OutEdgeIt OutEdgeIt;
174   
175    ///\brief The type of the map that stores the last
[1218]176    ///edges of the %DFS paths.
177    typedef typename TR::PredMap PredMap;
178//     ///\brief The type of the map that stores the last but one
179//     ///nodes of the %DFS paths.
180//     typedef typename TR::PredNodeMap PredNodeMap;
181    ///The type of the map indicating which nodes are reached.
182    typedef typename TR::ReachedMap ReachedMap;
183    ///The type of the map indicating which nodes are processed.
184    typedef typename TR::ProcessedMap ProcessedMap;
185    ///The type of the map that stores the dists of the nodes.
186    typedef typename TR::DistMap DistMap;
[780]187  private:
[802]188    /// Pointer to the underlying graph.
[780]189    const Graph *G;
[802]190    ///Pointer to the map of predecessors edges.
[1218]191    PredMap *_pred;
192    ///Indicates if \ref _pred is locally allocated (\c true) or not.
193    bool local_pred;
194//     ///Pointer to the map of predecessors nodes.
195//     PredNodeMap *_predNode;
196//     ///Indicates if \ref _predNode is locally allocated (\c true) or not.
197//     bool local_predNode;
[802]198    ///Pointer to the map of distances.
[1218]199    DistMap *_dist;
200    ///Indicates if \ref _dist is locally allocated (\c true) or not.
201    bool local_dist;
202    ///Pointer to the map of reached status of the nodes.
203    ReachedMap *_reached;
204    ///Indicates if \ref _reached is locally allocated (\c true) or not.
205    bool local_reached;
206    ///Pointer to the map of processed status of the nodes.
207    ProcessedMap *_processed;
208    ///Indicates if \ref _processed is locally allocated (\c true) or not.
209    bool local_processed;
[780]210
[1218]211    std::vector<typename Graph::OutEdgeIt> _stack;
212    int _stack_head;
213//     ///The source node of the last execution.
214//     Node source;
[780]215
[1218]216    ///Creates the maps if necessary.
217   
218    ///\todo Error if \c G are \c NULL.
219    ///\todo Better memory allocation (instead of new).
220    void create_maps()
[780]221    {
[1218]222      if(!_pred) {
223        local_pred = true;
224        _pred = Traits::createPredMap(*G);
[780]225      }
[1218]226//       if(!_predNode) {
227//      local_predNode = true;
228//      _predNode = Traits::createPredNodeMap(*G);
229//       }
230      if(!_dist) {
231        local_dist = true;
232        _dist = Traits::createDistMap(*G);
[780]233      }
[1218]234      if(!_reached) {
235        local_reached = true;
236        _reached = Traits::createReachedMap(*G);
237      }
238      if(!_processed) {
239        local_processed = true;
240        _processed = Traits::createProcessedMap(*G);
[780]241      }
242    }
243   
[1218]244  public :
245 
246    ///\name Named template parameters
247
248    ///@{
249
250    template <class T>
251    struct DefPredMapTraits : public Traits {
252      typedef T PredMap;
253      static PredMap *createPredMap(const Graph &G)
254      {
255        throw UninitializedParameter();
256      }
257    };
258    ///\ref named-templ-param "Named parameter" for setting PredMap type
259
260    ///\ref named-templ-param "Named parameter" for setting PredMap type
261    ///
262    template <class T>
263    class DefPredMap : public Dfs< Graph,
264                                        DefPredMapTraits<T> > { };
265   
266//     template <class T>
267//     struct DefPredNodeMapTraits : public Traits {
268//       typedef T PredNodeMap;
269//       static PredNodeMap *createPredNodeMap(const Graph &G)
270//       {
271//      throw UninitializedParameter();
272//       }
273//     };
274//     ///\ref named-templ-param "Named parameter" for setting PredNodeMap type
275
276//     ///\ref named-templ-param "Named parameter" for setting PredNodeMap type
277//     ///
278//     template <class T>
279//     class DefPredNodeMap : public Dfs< Graph,
280//                                          LengthMap,
281//                                          DefPredNodeMapTraits<T> > { };
282   
283    template <class T>
284    struct DefDistMapTraits : public Traits {
285      typedef T DistMap;
286      static DistMap *createDistMap(const Graph &G)
287      {
288        throw UninitializedParameter();
289      }
290    };
291    ///\ref named-templ-param "Named parameter" for setting DistMap type
292
293    ///\ref named-templ-param "Named parameter" for setting DistMap type
294    ///
295    template <class T>
296    class DefDistMap : public Dfs< Graph,
297                                   DefDistMapTraits<T> > { };
298   
299    template <class T>
300    struct DefReachedMapTraits : public Traits {
301      typedef T ReachedMap;
302      static ReachedMap *createReachedMap(const Graph &G)
303      {
304        throw UninitializedParameter();
305      }
306    };
307    ///\ref named-templ-param "Named parameter" for setting ReachedMap type
308
309    ///\ref named-templ-param "Named parameter" for setting ReachedMap type
310    ///
311    template <class T>
312    class DefReachedMap : public Dfs< Graph,
313                                      DefReachedMapTraits<T> > { };
314   
315    struct DefGraphReachedMapTraits : public Traits {
316      typedef typename Graph::template NodeMap<bool> ReachedMap;
317      static ReachedMap *createReachedMap(const Graph &G)
318      {
319        return new ReachedMap(G);
320      }
321    };
322    template <class T>
323    struct DefProcessedMapTraits : public Traits {
324      typedef T ProcessedMap;
325      static ProcessedMap *createProcessedMap(const Graph &G)
326      {
327        throw UninitializedParameter();
328      }
329    };
330    ///\ref named-templ-param "Named parameter" for setting ProcessedMap type
331
332    ///\ref named-templ-param "Named parameter" for setting ProcessedMap type
333    ///
334    template <class T>
335    class DefProcessedMap : public Dfs< Graph,
336                                        DefProcessedMapTraits<T> > { };
337   
338    struct DefGraphProcessedMapTraits : public Traits {
339      typedef typename Graph::template NodeMap<bool> ProcessedMap;
340      static ProcessedMap *createProcessedMap(const Graph &G)
341      {
342        return new ProcessedMap(G);
343      }
344    };
345    ///\brief \ref named-templ-param "Named parameter"
346    ///for setting the ProcessedMap type to be Graph::NodeMap<bool>.
347    ///
348    ///\ref named-templ-param "Named parameter"
349    ///for setting the ProcessedMap type to be Graph::NodeMap<bool>.
350    ///If you don't set it explicitely, it will be automatically allocated.
351    template <class T>
352    class DefProcessedMapToBeDefaultMap :
353      public Dfs< Graph,
354                  DefGraphProcessedMapTraits> { };
355   
356    ///@}
357
358  public:     
359   
[802]360    ///Constructor.
361   
362    ///\param _G the graph the algorithm will run on.
[911]363    ///
[780]364    Dfs(const Graph& _G) :
365      G(&_G),
[1218]366      _pred(NULL), local_pred(false),
367//       _predNode(NULL), local_predNode(false),
368      _dist(NULL), local_dist(false),
369      _reached(NULL), local_reached(false),
370      _processed(NULL), local_processed(false)
[780]371    { }
372   
[802]373    ///Destructor.
[780]374    ~Dfs()
375    {
[1218]376      if(local_pred) delete _pred;
377//       if(local_predNode) delete _predNode;
378      if(local_dist) delete _dist;
379      if(local_reached) delete _reached;
380      if(local_processed) delete _processed;
[780]381    }
382
383    ///Sets the map storing the predecessor edges.
384
385    ///Sets the map storing the predecessor edges.
386    ///If you don't use this function before calling \ref run(),
387    ///it will allocate one. The destuctor deallocates this
388    ///automatically allocated map, of course.
389    ///\return <tt> (*this) </tt>
[1218]390    Dfs &predMap(PredMap &m)
[780]391    {
[1218]392      if(local_pred) {
393        delete _pred;
394        local_pred=false;
[780]395      }
[1218]396      _pred = &m;
[780]397      return *this;
398    }
399
[1218]400//     ///Sets the map storing the predecessor nodes.
[780]401
[1218]402//     ///Sets the map storing the predecessor nodes.
403//     ///If you don't use this function before calling \ref run(),
404//     ///it will allocate one. The destuctor deallocates this
405//     ///automatically allocated map, of course.
406//     ///\return <tt> (*this) </tt>
407//     Dfs &predNodeMap(PredNodeMap &m)
408//     {
409//       if(local_predNode) {
410//      delete _predNode;
411//      local_predNode=false;
412//       }
413//       _predNode = &m;
414//       return *this;
415//     }
[780]416
417    ///Sets the map storing the distances calculated by the algorithm.
418
419    ///Sets the map storing the distances calculated by the algorithm.
420    ///If you don't use this function before calling \ref run(),
421    ///it will allocate one. The destuctor deallocates this
422    ///automatically allocated map, of course.
423    ///\return <tt> (*this) </tt>
[1218]424    Dfs &distMap(DistMap &m)
[780]425    {
[1218]426      if(local_dist) {
427        delete _dist;
428        local_dist=false;
[780]429      }
[1218]430      _dist = &m;
[780]431      return *this;
432    }
433
[1220]434    ///Sets the map indicating if a node is reached.
435
436    ///Sets the map indicating if a node is reached.
437    ///If you don't use this function before calling \ref run(),
438    ///it will allocate one. The destuctor deallocates this
439    ///automatically allocated map, of course.
440    ///\return <tt> (*this) </tt>
441    Dfs &reachedMap(ReachedMap &m)
442    {
443      if(local_reached) {
444        delete _reached;
445        local_reached=false;
446      }
447      _reached = &m;
448      return *this;
449    }
450
451    ///Sets the map indicating if a node is processed.
452
453    ///Sets the map indicating if a node is processed.
454    ///If you don't use this function before calling \ref run(),
455    ///it will allocate one. The destuctor deallocates this
456    ///automatically allocated map, of course.
457    ///\return <tt> (*this) </tt>
458    Dfs &processedMap(ProcessedMap &m)
459    {
460      if(local_processed) {
461        delete _processed;
462        local_processed=false;
463      }
464      _processed = &m;
465      return *this;
466    }
467
[1218]468  public:
469    ///\name Execution control
470    ///The simplest way to execute the algorithm is to use
471    ///one of the member functions called \c run(...).
472    ///\n
473    ///If you need more control on the execution,
474    ///first you must call \ref init(), then you can add several source nodes
475    ///with \ref addSource().
476    ///Finally \ref start() will perform the actual path
477    ///computation.
478
479    ///@{
480
481    ///Initializes the internal data structures.
482
483    ///Initializes the internal data structures.
484    ///
485    void init()
486    {
487      create_maps();
488      _stack.resize(countNodes(*G));
489      _stack_head=-1;
[780]490      for ( NodeIt u(*G) ; u!=INVALID ; ++u ) {
[1218]491        _pred->set(u,INVALID);
492        // _predNode->set(u,INVALID);
493        _reached->set(u,false);
494        _processed->set(u,false);
[780]495      }
496    }
497   
[1218]498    ///Adds a new source node.
[780]499
[1218]500    ///Adds a new source node to the set of nodes to be processed.
501    ///
502    ///\bug dist's are wrong (or at least strange) in case of multiple sources.
503    void addSource(Node s)
504    {
505      if(!(*_reached)[s])
506        {
507          _reached->set(s,true);
508          _pred->set(s,INVALID);
509          // _predNode->set(u,INVALID);
510          _stack[++_stack_head]=OutEdgeIt(*G,s);
511          _dist->set(s,_stack_head);
512        }
513    }
514   
515    ///Processes the next node.
516
517    ///Processes the next node.
518    ///
519    ///\warning The stack must not be empty!
520    void processNextEdge()
521    {
522      Node m;
523      Edge e=_stack[_stack_head];
524      if(!(*_reached)[m=G->target(e)]) {
525        _pred->set(m,e);
526        _reached->set(m,true);
527        //        _pred_node->set(m,G->source(e));
[1233]528        ++_stack_head;
529        _stack[_stack_head] = OutEdgeIt(*G, m);
[1218]530        _dist->set(m,_stack_head);
531      }
532      else {
533        Node n;
534        while(_stack_head>=0 &&
535              (n=G->source(_stack[_stack_head]),
536               ++_stack[_stack_head]==INVALID))
537          {
538            _processed->set(n,true);
539            --_stack_head;
540          }
541      }
542    }
543     
544    ///\brief Returns \c false if there are nodes
545    ///to be processed in the queue
546    ///
547    ///Returns \c false if there are nodes
548    ///to be processed in the queue
549    bool emptyQueue() { return _stack_head<0; }
550    ///Returns the number of the nodes to be processed.
551   
552    ///Returns the number of the nodes to be processed in the queue.
553    ///
554    int queueSize() { return _stack_head+1; }
555   
556    ///Executes the algorithm.
557
558    ///Executes the algorithm.
559    ///
560    ///\pre init() must be called and at least one node should be added
561    ///with addSource() before using this function.
562    ///
563    ///This method runs the %DFS algorithm from the root node(s)
564    ///in order to
565    ///compute the
566    ///%DFS path to each node. The algorithm computes
567    ///- The %DFS tree.
568    ///- The distance of each node from the root(s).
569    ///
570    void start()
571    {
572      while ( !emptyQueue() ) processNextEdge();
573    }
574   
575    ///Executes the algorithm until \c dest is reached.
576
577    ///Executes the algorithm until \c dest is reached.
578    ///
579    ///\pre init() must be called and at least one node should be added
580    ///with addSource() before using this function.
581    ///
582    ///This method runs the %DFS algorithm from the root node(s)
583    ///in order to
584    ///compute the
585    ///%DFS path to \c dest. The algorithm computes
586    ///- The %DFS path to \c  dest.
587    ///- The distance of \c dest from the root(s).
588    ///
589    void start(Node dest)
590    {
[1233]591      while ( !emptyQueue() && G->target(_stack[_stack_head])!=dest )
592        processNextEdge();
[1218]593    }
594   
595    ///Executes the algorithm until a condition is met.
596
597    ///Executes the algorithm until a condition is met.
598    ///
599    ///\pre init() must be called and at least one node should be added
600    ///with addSource() before using this function.
601    ///
[1233]602    ///\param nm must be a bool (or convertible) edge map. The algorithm
[1438]603    ///will stop when it reaches an edge \c e with <tt>nm[e]==true</tt>.
604    ///\warning Contrary to \ref Dfs and \ref Dijkstra, \c nm is an edge map,
[1233]605    ///not a node map.
[1218]606    template<class NM>
607      void start(const NM &nm)
608      {
[1233]609        while ( !emptyQueue() && !nm[_stack[_stack_head]] ) processNextEdge();
[1218]610      }
611   
612    ///Runs %DFS algorithm from node \c s.
613   
614    ///This method runs the %DFS algorithm from a root node \c s
615    ///in order to
616    ///compute the
617    ///%DFS path to each node. The algorithm computes
618    ///- The %DFS tree.
619    ///- The distance of each node from the root.
620    ///
621    ///\note d.run(s) is just a shortcut of the following code.
622    ///\code
623    ///  d.init();
624    ///  d.addSource(s);
625    ///  d.start();
626    ///\endcode
627    void run(Node s) {
628      init();
629      addSource(s);
630      start();
631    }
632   
633    ///Finds the %DFS path between \c s and \c t.
634   
635    ///Finds the %DFS path between \c s and \c t.
636    ///
637    ///\return The length of the %DFS s---t path if there exists one,
638    ///0 otherwise.
639    ///\note Apart from the return value, d.run(s) is
640    ///just a shortcut of the following code.
641    ///\code
642    ///  d.init();
643    ///  d.addSource(s);
644    ///  d.start(t);
645    ///\endcode
646    int run(Node s,Node t) {
647      init();
648      addSource(s);
649      start(t);
[1233]650      return reached(t)?_stack_head+1:0;
[1218]651    }
652   
653    ///@}
654
655    ///\name Query Functions
656    ///The result of the %DFS algorithm can be obtained using these
657    ///functions.\n
658    ///Before the use of these functions,
659    ///either run() or start() must be called.
660   
661    ///@{
662
[1283]663    ///Copies the path to \c t on the DFS tree into \c p
664   
665    ///This function copies the path on the DFS tree to \c t into \c p.
[1438]666    ///If \c t is a source itself or unreachable, then it does not
[1283]667    ///alter \c p.
[1438]668    ///\todo Is this the right way to handle unreachable nodes?
669    ///
[1283]670    ///\return Returns \c true if a path to \c t was actually copied to \c p,
671    ///\c false otherwise.
672    ///\sa DirPath
673    template<class P>
674    bool getPath(P &p,Node t)
675    {
676      if(reached(t)) {
677        p.clear();
678        typename P::Builder b(p);
679        for(b.setStartNode(t);pred(t)!=INVALID;t=predNode(t))
680          b.pushFront(pred(t));
681        b.commit();
682        return true;
683      }
684      return false;
685    }
686
[1218]687    ///The distance of a node from the root(s).
688
689    ///Returns the distance of a node from the root(s).
[780]690    ///\pre \ref run() must be called before using this function.
[1438]691    ///\warning If node \c v is unreachable from the root(s) then the return value
[780]692    ///of this funcion is undefined.
[1218]693    int dist(Node v) const { return (*_dist)[v]; }
[780]694
[1218]695    ///Returns the 'previous edge' of the %DFS tree.
[780]696
[1218]697    ///For a node \c v it returns the 'previous edge'
698    ///of the %DFS path,
699    ///i.e. it returns the last edge of a %DFS path from the root(s) to \c
[780]700    ///v. It is \ref INVALID
[1218]701    ///if \c v is unreachable from the root(s) or \c v is a root. The
[781]702    ///%DFS tree used here is equal to the %DFS tree used in
[1218]703    ///\ref predNode(Node v).
704    ///\pre Either \ref run() or \ref start() must be called before using
[780]705    ///this function.
[1218]706    ///\todo predEdge could be a better name.
707    Edge pred(Node v) const { return (*_pred)[v];}
[780]708
[781]709    ///Returns the 'previous node' of the %DFS tree.
[780]710
[1218]711    ///For a node \c v it returns the 'previous node'
712    ///of the %DFS tree,
713    ///i.e. it returns the last but one node from a %DFS path from the
714    ///root(a) to \c /v.
715    ///It is INVALID if \c v is unreachable from the root(s) or
716    ///if \c v itself a root.
717    ///The %DFS tree used here is equal to the %DFS
718    ///tree used in \ref pred(Node v).
719    ///\pre Either \ref run() or \ref start() must be called before
[780]720    ///using this function.
[1218]721    Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID:
722                                  G->source((*_pred)[v]); }
[780]723   
[1218]724    ///Returns a reference to the NodeMap of distances.
725
726    ///Returns a reference to the NodeMap of distances.
727    ///\pre Either \ref run() or \ref init() must
[780]728    ///be called before using this function.
[1218]729    const DistMap &distMap() const { return *_dist;}
[780]730 
[1218]731    ///Returns a reference to the %DFS edge-tree map.
[780]732
733    ///Returns a reference to the NodeMap of the edges of the
[781]734    ///%DFS tree.
[1218]735    ///\pre Either \ref run() or \ref init()
736    ///must be called before using this function.
737    const PredMap &predMap() const { return *_pred;}
[780]738 
[1218]739//     ///Returns a reference to the map of nodes of %DFS paths.
[780]740
[1218]741//     ///Returns a reference to the NodeMap of the last but one nodes of the
742//     ///%DFS tree.
743//     ///\pre \ref run() must be called before using this function.
744//     const PredNodeMap &predNodeMap() const { return *_predNode;}
[780]745
746    ///Checks if a node is reachable from the root.
747
[1438]748    ///Returns \c true if \c v is reachable from the root(s).
749    ///\warning The source nodes are inditated as unreachable.
[1218]750    ///\pre Either \ref run() or \ref start()
751    ///must be called before using this function.
[780]752    ///
[1218]753    bool reached(Node v) { return (*_reached)[v]; }
754   
755    ///@}
756  };
757
758  ///Default traits class of Dfs function.
759
760  ///Default traits class of Dfs function.
761  ///\param GR Graph type.
762  template<class GR>
763  struct DfsWizardDefaultTraits
764  {
765    ///The graph type the algorithm runs on.
766    typedef GR Graph;
767    ///\brief The type of the map that stores the last
768    ///edges of the %DFS paths.
769    ///
770    ///The type of the map that stores the last
771    ///edges of the %DFS paths.
772    ///It must meet the \ref concept::WriteMap "WriteMap" concept.
[780]773    ///
[1218]774    typedef NullMap<typename Graph::Node,typename GR::Edge> PredMap;
775    ///Instantiates a PredMap.
776 
777    ///This function instantiates a \ref PredMap.
778    ///\param G is the graph, to which we would like to define the PredMap.
779    ///\todo The graph alone may be insufficient to initialize
[1367]780    static PredMap *createPredMap(const GR &)
[1218]781    {
782      return new PredMap();
783    }
784//     ///\brief The type of the map that stores the last but one
785//     ///nodes of the %DFS paths.
786//     ///
787//     ///The type of the map that stores the last but one
788//     ///nodes of the %DFS paths.
789//     ///It must meet the \ref concept::WriteMap "WriteMap" concept.
790//     ///
791//     typedef NullMap<typename Graph::Node,typename Graph::Node> PredNodeMap;
792//     ///Instantiates a PredNodeMap.
793   
794//     ///This function instantiates a \ref PredNodeMap.
795//     ///\param G is the graph, to which
796//     ///we would like to define the \ref PredNodeMap
797//     static PredNodeMap *createPredNodeMap(const GR &G)
798//     {
799//       return new PredNodeMap();
800//     }
801
802    ///The type of the map that indicates which nodes are processed.
803 
804    ///The type of the map that indicates which nodes are processed.
805    ///It must meet the \ref concept::WriteMap "WriteMap" concept.
806    ///\todo named parameter to set this type, function to read and write.
807    typedef NullMap<typename Graph::Node,bool> ProcessedMap;
808    ///Instantiates a ProcessedMap.
809 
810    ///This function instantiates a \ref ProcessedMap.
811    ///\param G is the graph, to which
812    ///we would like to define the \ref ProcessedMap
[1367]813    static ProcessedMap *createProcessedMap(const GR &)
[1218]814    {
815      return new ProcessedMap();
816    }
817    ///The type of the map that indicates which nodes are reached.
818 
819    ///The type of the map that indicates which nodes are reached.
820    ///It must meet the \ref concept::WriteMap "WriteMap" concept.
821    ///\todo named parameter to set this type, function to read and write.
822    typedef typename Graph::template NodeMap<bool> ReachedMap;
823    ///Instantiates a ReachedMap.
824 
825    ///This function instantiates a \ref ReachedMap.
826    ///\param G is the graph, to which
827    ///we would like to define the \ref ReachedMap.
828    static ReachedMap *createReachedMap(const GR &G)
829    {
830      return new ReachedMap(G);
831    }
832    ///The type of the map that stores the dists of the nodes.
833 
834    ///The type of the map that stores the dists of the nodes.
835    ///It must meet the \ref concept::WriteMap "WriteMap" concept.
836    ///
837    typedef NullMap<typename Graph::Node,int> DistMap;
838    ///Instantiates a DistMap.
839 
840    ///This function instantiates a \ref DistMap.
841    ///\param G is the graph, to which we would like to define the \ref DistMap
[1367]842    static DistMap *createDistMap(const GR &)
[1218]843    {
844      return new DistMap();
845    }
846  };
847 
848  /// Default traits used by \ref DfsWizard
849
850  /// To make it easier to use Dfs algorithm
851  ///we have created a wizard class.
852  /// This \ref DfsWizard class needs default traits,
853  ///as well as the \ref Dfs class.
854  /// The \ref DfsWizardBase is a class to be the default traits of the
855  /// \ref DfsWizard class.
856  template<class GR>
857  class DfsWizardBase : public DfsWizardDefaultTraits<GR>
858  {
859
860    typedef DfsWizardDefaultTraits<GR> Base;
861  protected:
862    /// Type of the nodes in the graph.
863    typedef typename Base::Graph::Node Node;
864
865    /// Pointer to the underlying graph.
866    void *_g;
867    ///Pointer to the map of reached nodes.
868    void *_reached;
869    ///Pointer to the map of processed nodes.
870    void *_processed;
871    ///Pointer to the map of predecessors edges.
872    void *_pred;
873//     ///Pointer to the map of predecessors nodes.
874//     void *_predNode;
875    ///Pointer to the map of distances.
876    void *_dist;
877    ///Pointer to the source node.
878    Node _source;
879   
880    public:
881    /// Constructor.
882   
883    /// This constructor does not require parameters, therefore it initiates
884    /// all of the attributes to default values (0, INVALID).
885    DfsWizardBase() : _g(0), _reached(0), _processed(0), _pred(0),
886//                         _predNode(0),
887                           _dist(0), _source(INVALID) {}
888
889    /// Constructor.
890   
891    /// This constructor requires some parameters,
892    /// listed in the parameters list.
893    /// Others are initiated to 0.
894    /// \param g is the initial value of  \ref _g
895    /// \param s is the initial value of  \ref _source
896    DfsWizardBase(const GR &g, Node s=INVALID) :
897      _g((void *)&g), _reached(0), _processed(0), _pred(0),
898//       _predNode(0),
899      _dist(0), _source(s) {}
900
901  };
902 
903  /// A class to make the usage of Dfs algorithm easier
904
905  /// This class is created to make it easier to use Dfs algorithm.
906  /// It uses the functions and features of the plain \ref Dfs,
907  /// but it is much simpler to use it.
908  ///
909  /// Simplicity means that the way to change the types defined
910  /// in the traits class is based on functions that returns the new class
911  /// and not on templatable built-in classes.
912  /// When using the plain \ref Dfs
913  /// the new class with the modified type comes from
914  /// the original class by using the ::
915  /// operator. In the case of \ref DfsWizard only
916  /// a function have to be called and it will
917  /// return the needed class.
918  ///
919  /// It does not have own \ref run method. When its \ref run method is called
[1438]920  /// it initiates a plain \ref Dfs object, and calls the \ref Dfs::run
[1218]921  /// method of it.
922  template<class TR>
923  class DfsWizard : public TR
924  {
925    typedef TR Base;
926
927    ///The type of the underlying graph.
928    typedef typename TR::Graph Graph;
929    //\e
930    typedef typename Graph::Node Node;
931    //\e
932    typedef typename Graph::NodeIt NodeIt;
933    //\e
934    typedef typename Graph::Edge Edge;
935    //\e
936    typedef typename Graph::OutEdgeIt OutEdgeIt;
937   
938    ///\brief The type of the map that stores
939    ///the reached nodes
940    typedef typename TR::ReachedMap ReachedMap;
941    ///\brief The type of the map that stores
942    ///the processed nodes
943    typedef typename TR::ProcessedMap ProcessedMap;
944    ///\brief The type of the map that stores the last
945    ///edges of the %DFS paths.
946    typedef typename TR::PredMap PredMap;
947//     ///\brief The type of the map that stores the last but one
948//     ///nodes of the %DFS paths.
949//     typedef typename TR::PredNodeMap PredNodeMap;
950    ///The type of the map that stores the dists of the nodes.
951    typedef typename TR::DistMap DistMap;
952
953public:
954    /// Constructor.
955    DfsWizard() : TR() {}
956
957    /// Constructor that requires parameters.
958
959    /// Constructor that requires parameters.
960    /// These parameters will be the default values for the traits class.
961    DfsWizard(const Graph &g, Node s=INVALID) :
962      TR(g,s) {}
963
964    ///Copy constructor
965    DfsWizard(const TR &b) : TR(b) {}
966
967    ~DfsWizard() {}
968
969    ///Runs Dfs algorithm from a given node.
970   
971    ///Runs Dfs algorithm from a given node.
972    ///The node can be given by the \ref source function.
973    void run()
974    {
975      if(Base::_source==INVALID) throw UninitializedParameter();
976      Dfs<Graph,TR> alg(*(Graph*)Base::_g);
977      if(Base::_reached) alg.reachedMap(*(ReachedMap*)Base::_reached);
978      if(Base::_processed) alg.processedMap(*(ProcessedMap*)Base::_processed);
979      if(Base::_pred) alg.predMap(*(PredMap*)Base::_pred);
980//       if(Base::_predNode) alg.predNodeMap(*(PredNodeMap*)Base::_predNode);
981      if(Base::_dist) alg.distMap(*(DistMap*)Base::_dist);
982      alg.run(Base::_source);
983    }
984
985    ///Runs Dfs algorithm from the given node.
986
987    ///Runs Dfs algorithm from the given node.
988    ///\param s is the given source.
989    void run(Node s)
990    {
991      Base::_source=s;
992      run();
993    }
994
995    template<class T>
996    struct DefPredMapBase : public Base {
997      typedef T PredMap;
[1367]998      static PredMap *createPredMap(const Graph &) { return 0; };
[1236]999      DefPredMapBase(const TR &b) : TR(b) {}
[1218]1000    };
1001   
1002    ///\brief \ref named-templ-param "Named parameter"
1003    ///function for setting PredMap type
1004    ///
1005    /// \ref named-templ-param "Named parameter"
1006    ///function for setting PredMap type
1007    ///
1008    template<class T>
1009    DfsWizard<DefPredMapBase<T> > predMap(const T &t)
1010    {
1011      Base::_pred=(void *)&t;
1012      return DfsWizard<DefPredMapBase<T> >(*this);
1013    }
1014   
1015 
1016    template<class T>
1017    struct DefReachedMapBase : public Base {
1018      typedef T ReachedMap;
[1367]1019      static ReachedMap *createReachedMap(const Graph &) { return 0; };
[1236]1020      DefReachedMapBase(const TR &b) : TR(b) {}
[1218]1021    };
1022   
1023    ///\brief \ref named-templ-param "Named parameter"
1024    ///function for setting ReachedMap
1025    ///
1026    /// \ref named-templ-param "Named parameter"
1027    ///function for setting ReachedMap
1028    ///
1029    template<class T>
1030    DfsWizard<DefReachedMapBase<T> > reachedMap(const T &t)
1031    {
1032      Base::_pred=(void *)&t;
1033      return DfsWizard<DefReachedMapBase<T> >(*this);
1034    }
1035   
1036
1037    template<class T>
1038    struct DefProcessedMapBase : public Base {
1039      typedef T ProcessedMap;
[1367]1040      static ProcessedMap *createProcessedMap(const Graph &) { return 0; };
[1236]1041      DefProcessedMapBase(const TR &b) : TR(b) {}
[1218]1042    };
1043   
1044    ///\brief \ref named-templ-param "Named parameter"
1045    ///function for setting ProcessedMap
1046    ///
1047    /// \ref named-templ-param "Named parameter"
1048    ///function for setting ProcessedMap
1049    ///
1050    template<class T>
1051    DfsWizard<DefProcessedMapBase<T> > processedMap(const T &t)
1052    {
1053      Base::_pred=(void *)&t;
1054      return DfsWizard<DefProcessedMapBase<T> >(*this);
1055    }
1056   
1057
1058//     template<class T>
1059//     struct DefPredNodeMapBase : public Base {
1060//       typedef T PredNodeMap;
1061//       static PredNodeMap *createPredNodeMap(const Graph &G) { return 0; };
[1236]1062//       DefPredNodeMapBase(const TR &b) : TR(b) {}
[1218]1063//     };
1064   
1065//     ///\brief \ref named-templ-param "Named parameter"
1066//     ///function for setting PredNodeMap type
1067//     ///
1068//     /// \ref named-templ-param "Named parameter"
1069//     ///function for setting PredNodeMap type
1070//     ///
1071//     template<class T>
1072//     DfsWizard<DefPredNodeMapBase<T> > predNodeMap(const T &t)
1073//     {
1074//       Base::_predNode=(void *)&t;
1075//       return DfsWizard<DefPredNodeMapBase<T> >(*this);
1076//     }
1077   
1078    template<class T>
1079    struct DefDistMapBase : public Base {
1080      typedef T DistMap;
[1367]1081      static DistMap *createDistMap(const Graph &) { return 0; };
[1236]1082      DefDistMapBase(const TR &b) : TR(b) {}
[1218]1083    };
1084   
1085    ///\brief \ref named-templ-param "Named parameter"
1086    ///function for setting DistMap type
1087    ///
1088    /// \ref named-templ-param "Named parameter"
1089    ///function for setting DistMap type
1090    ///
1091    template<class T>
1092    DfsWizard<DefDistMapBase<T> > distMap(const T &t)
1093    {
1094      Base::_dist=(void *)&t;
1095      return DfsWizard<DefDistMapBase<T> >(*this);
1096    }
1097   
1098    /// Sets the source node, from which the Dfs algorithm runs.
1099
1100    /// Sets the source node, from which the Dfs algorithm runs.
1101    /// \param s is the source node.
1102    DfsWizard<TR> &source(Node s)
1103    {
1104      Base::_source=s;
1105      return *this;
1106    }
[780]1107   
1108  };
1109 
[1218]1110  ///Function type interface for Dfs algorithm.
1111
1112  /// \ingroup flowalgs
1113  ///Function type interface for Dfs algorithm.
1114  ///
1115  ///This function also has several
1116  ///\ref named-templ-func-param "named parameters",
1117  ///they are declared as the members of class \ref DfsWizard.
1118  ///The following
1119  ///example shows how to use these parameters.
1120  ///\code
1121  ///  dfs(g,source).predMap(preds).run();
1122  ///\endcode
1123  ///\warning Don't forget to put the \ref DfsWizard::run() "run()"
1124  ///to the end of the parameter list.
1125  ///\sa DfsWizard
1126  ///\sa Dfs
1127  template<class GR>
1128  DfsWizard<DfsWizardBase<GR> >
1129  dfs(const GR &g,typename GR::Node s=INVALID)
1130  {
1131    return DfsWizard<DfsWizardBase<GR> >(g,s);
1132  }
1133
[921]1134} //END OF NAMESPACE LEMON
[780]1135
1136#endif
1137
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