Revised dijkstra.h with several new features added.
authoralpar
Sun, 06 Feb 2005 20:14:30 +0000
changeset 1132ab5c81fcc31a
parent 1131 425731cb66de
child 1133 9fd485470fee
Revised dijkstra.h with several new features added.
src/lemon/dijkstra.h
src/work/alpar/dijkstra.h
     1.1 --- /dev/null	Thu Jan 01 00:00:00 1970 +0000
     1.2 +++ b/src/lemon/dijkstra.h	Sun Feb 06 20:14:30 2005 +0000
     1.3 @@ -0,0 +1,915 @@
     1.4 +/* -*- C++ -*-
     1.5 + * src/lemon/dijkstra.h - Part of LEMON, a generic C++ optimization library
     1.6 + *
     1.7 + * Copyright (C) 2004 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
     1.8 + * (Egervary Combinatorial Optimization Research Group, EGRES).
     1.9 + *
    1.10 + * Permission to use, modify and distribute this software is granted
    1.11 + * provided that this copyright notice appears in all copies. For
    1.12 + * precise terms see the accompanying LICENSE file.
    1.13 + *
    1.14 + * This software is provided "AS IS" with no warranty of any kind,
    1.15 + * express or implied, and with no claim as to its suitability for any
    1.16 + * purpose.
    1.17 + *
    1.18 + */
    1.19 +
    1.20 +#ifndef LEMON_DIJKSTRA_H
    1.21 +#define LEMON_DIJKSTRA_H
    1.22 +
    1.23 +///\ingroup flowalgs
    1.24 +///\file
    1.25 +///\brief Dijkstra algorithm.
    1.26 +
    1.27 +#include <lemon/list_graph.h>
    1.28 +#include <lemon/bin_heap.h>
    1.29 +#include <lemon/invalid.h>
    1.30 +#include <lemon/error.h>
    1.31 +#include <lemon/maps.h>
    1.32 +
    1.33 +namespace lemon {
    1.34 +
    1.35 +
    1.36 +/// \addtogroup flowalgs
    1.37 +/// @{
    1.38 +
    1.39 +  ///Default traits class of Dijkstra class.
    1.40 +
    1.41 +  ///Default traits class of Dijkstra class.
    1.42 +  ///\param GR Graph type.
    1.43 +  ///\param LM Type of length map.
    1.44 +  template<class GR, class LM>
    1.45 +  struct DijkstraDefaultTraits
    1.46 +  {
    1.47 +    ///The graph type the algorithm runs on. 
    1.48 +    typedef GR Graph;
    1.49 +    ///The type of the map that stores the edge lengths.
    1.50 +
    1.51 +    ///The type of the map that stores the edge lengths.
    1.52 +    ///It must meet the \ref concept::ReadMap "ReadMap" concept.
    1.53 +    typedef LM LengthMap;
    1.54 +    //The type of the length of the edges.
    1.55 +    typedef typename LM::Value Value;
    1.56 +    ///The heap type used by Dijkstra algorithm.
    1.57 +
    1.58 +    ///The heap type used by Dijkstra algorithm.
    1.59 +    ///
    1.60 +    ///\sa BinHeap
    1.61 +    ///\sa Dijkstra
    1.62 +    typedef BinHeap<typename Graph::Node,
    1.63 +		    typename LM::Value,
    1.64 +		    typename GR::template NodeMap<int>,
    1.65 +		    std::less<Value> > Heap;
    1.66 +
    1.67 +    ///\brief The type of the map that stores the last
    1.68 +    ///edges of the shortest paths.
    1.69 +    /// 
    1.70 +    ///The type of the map that stores the last
    1.71 +    ///edges of the shortest paths.
    1.72 +    ///It must meet the \ref concept::WriteMap "WriteMap" concept.
    1.73 +    ///
    1.74 +    typedef typename Graph::template NodeMap<typename GR::Edge> PredMap;
    1.75 +    ///Instantiates a PredMap.
    1.76 + 
    1.77 +    ///This function instantiates a \ref PredMap. 
    1.78 +    ///\param G is the graph, to which we would like to define the PredMap.
    1.79 +    ///\todo The graph alone may be insufficient for the initialization
    1.80 +    static PredMap *createPredMap(const GR &G) 
    1.81 +    {
    1.82 +      return new PredMap(G);
    1.83 +    }
    1.84 +    ///\brief The type of the map that stores the last but one
    1.85 +    ///nodes of the shortest paths.
    1.86 +    ///
    1.87 +    ///The type of the map that stores the last but one
    1.88 +    ///nodes of the shortest paths.
    1.89 +    ///It must meet the \ref concept::WriteMap "WriteMap" concept.
    1.90 +    ///
    1.91 +    typedef NullMap<typename Graph::Node,typename Graph::Node> PredNodeMap;
    1.92 +    ///Instantiates a PredNodeMap.
    1.93 +    
    1.94 +    ///This function instantiates a \ref PredNodeMap. 
    1.95 +    ///\param G is the graph, to which we would like to define the \ref PredNodeMap
    1.96 +    static PredNodeMap *createPredNodeMap(const GR &G)
    1.97 +    {
    1.98 +      return new PredNodeMap();
    1.99 +    }
   1.100 +
   1.101 +    ///The type of the map that stores whether a nodes is reached.
   1.102 + 
   1.103 +    ///The type of the map that stores whether a nodes is reached.
   1.104 +    ///It must meet the \ref concept::WriteMap "WriteMap" concept.
   1.105 +    ///By default it is a NullMap.
   1.106 +    ///\todo If it is set to a real map, Dijkstra::reached() should read this.
   1.107 +    ///\todo named parameter to set this type, function to read and write.
   1.108 +    typedef NullMap<typename Graph::Node,bool> ReachedMap;
   1.109 +    ///Instantiates a ReachedMap.
   1.110 + 
   1.111 +    ///This function instantiates a \ref ReachedMap. 
   1.112 +    ///\param G is the graph, to which we would like to define the \ref ReachedMap
   1.113 +    static ReachedMap *createReachedMap(const GR &G)
   1.114 +    {
   1.115 +      return new ReachedMap();
   1.116 +    }
   1.117 +    ///The type of the map that stores the dists of the nodes.
   1.118 + 
   1.119 +    ///The type of the map that stores the dists of the nodes.
   1.120 +    ///It must meet the \ref concept::WriteMap "WriteMap" concept.
   1.121 +    ///
   1.122 +    typedef typename Graph::template NodeMap<typename LM::Value> DistMap;
   1.123 +    ///Instantiates a DistMap.
   1.124 + 
   1.125 +    ///This function instantiates a \ref DistMap. 
   1.126 +    ///\param G is the graph, to which we would like to define the \ref DistMap
   1.127 +    static DistMap *createDistMap(const GR &G)
   1.128 +    {
   1.129 +      return new DistMap(G);
   1.130 +    }
   1.131 +  };
   1.132 +  
   1.133 +  ///%Dijkstra algorithm class.
   1.134 +  
   1.135 +  ///This class provides an efficient implementation of %Dijkstra algorithm.
   1.136 +  ///The edge lengths are passed to the algorithm using a
   1.137 +  ///\ref concept::ReadMap "ReadMap",
   1.138 +  ///so it is easy to change it to any kind of length.
   1.139 +  ///
   1.140 +  ///The type of the length is determined by the
   1.141 +  ///\ref concept::ReadMap::Value "Value" of the length map.
   1.142 +  ///
   1.143 +  ///It is also possible to change the underlying priority heap.
   1.144 +  ///
   1.145 +  ///\param GR The graph type the algorithm runs on. The default value is
   1.146 +  ///\ref ListGraph. The value of GR is not used directly by Dijkstra, it
   1.147 +  ///is only passed to \ref DijkstraDefaultTraits.
   1.148 +  ///\param LM This read-only
   1.149 +  ///EdgeMap
   1.150 +  ///determines the
   1.151 +  ///lengths of the edges. It is read once for each edge, so the map
   1.152 +  ///may involve in relatively time consuming process to compute the edge
   1.153 +  ///length if it is necessary. The default map type is
   1.154 +  ///\ref concept::StaticGraph::EdgeMap "Graph::EdgeMap<int>".
   1.155 +  ///The value of LM is not used directly by Dijkstra, it
   1.156 +  ///is only passed to \ref DijkstraDefaultTraits.
   1.157 +  ///\param TR Traits class to set various data types used by the algorithm.
   1.158 +  ///The default traits class is
   1.159 +  ///\ref DijkstraDefaultTraits "DijkstraDefaultTraits<GR,LM>".
   1.160 +  ///See \ref DijkstraDefaultTraits for the documentation of
   1.161 +  ///a Dijkstra traits class.
   1.162 +  ///
   1.163 +  ///\author Jacint Szabo and Alpar Juttner
   1.164 +  ///\todo A compare object would be nice.
   1.165 +
   1.166 +#ifdef DOXYGEN
   1.167 +  template <typename GR,
   1.168 +	    typename LM,
   1.169 +	    typename TR>
   1.170 +#else
   1.171 +  template <typename GR=ListGraph,
   1.172 +	    typename LM=typename GR::template EdgeMap<int>,
   1.173 +	    typename TR=DijkstraDefaultTraits<GR,LM> >
   1.174 +#endif
   1.175 +  class Dijkstra {
   1.176 +  public:
   1.177 +    /**
   1.178 +     * \brief \ref Exception for uninitialized parameters.
   1.179 +     *
   1.180 +     * This error represents problems in the initialization
   1.181 +     * of the parameters of the algorithms.
   1.182 +     */
   1.183 +    class UninitializedParameter : public lemon::UninitializedParameter {
   1.184 +    public:
   1.185 +      virtual const char* exceptionName() const {
   1.186 +	return "lemon::Dijsktra::UninitializedParameter";
   1.187 +      }
   1.188 +    };
   1.189 +
   1.190 +    typedef TR Traits;
   1.191 +    ///The type of the underlying graph.
   1.192 +    typedef typename TR::Graph Graph;
   1.193 +    ///\e
   1.194 +    typedef typename Graph::Node Node;
   1.195 +    ///\e
   1.196 +    typedef typename Graph::NodeIt NodeIt;
   1.197 +    ///\e
   1.198 +    typedef typename Graph::Edge Edge;
   1.199 +    ///\e
   1.200 +    typedef typename Graph::OutEdgeIt OutEdgeIt;
   1.201 +    
   1.202 +    ///The type of the length of the edges.
   1.203 +    typedef typename TR::LengthMap::Value Value;
   1.204 +    ///The type of the map that stores the edge lengths.
   1.205 +    typedef typename TR::LengthMap LengthMap;
   1.206 +    ///\brief The type of the map that stores the last
   1.207 +    ///edges of the shortest paths.
   1.208 +    typedef typename TR::PredMap PredMap;
   1.209 +    ///\brief The type of the map that stores the last but one
   1.210 +    ///nodes of the shortest paths.
   1.211 +    typedef typename TR::PredNodeMap PredNodeMap;
   1.212 +    ///The type of the map indicating if a node is reached.
   1.213 +    typedef typename TR::ReachedMap ReachedMap;
   1.214 +    ///The type of the map that stores the dists of the nodes.
   1.215 +    typedef typename TR::DistMap DistMap;
   1.216 +    ///The heap type used by the dijkstra algorithm.
   1.217 +    typedef typename TR::Heap Heap;
   1.218 +  private:
   1.219 +    /// Pointer to the underlying graph.
   1.220 +    const Graph *G;
   1.221 +    /// Pointer to the length map
   1.222 +    const LengthMap *length;
   1.223 +    ///Pointer to the map of predecessors edges.
   1.224 +    PredMap *_pred;
   1.225 +    ///Indicates if \ref _pred is locally allocated (\c true) or not.
   1.226 +    bool local_pred;
   1.227 +    ///Pointer to the map of predecessors nodes.
   1.228 +    PredNodeMap *_predNode;
   1.229 +    ///Indicates if \ref _predNode is locally allocated (\c true) or not.
   1.230 +    bool local_predNode;
   1.231 +    ///Pointer to the map of distances.
   1.232 +    DistMap *_dist;
   1.233 +    ///Indicates if \ref _dist is locally allocated (\c true) or not.
   1.234 +    bool local_dist;
   1.235 +    ///Pointer to the map of reached status of the nodes.
   1.236 +    ReachedMap *_reached;
   1.237 +    ///Indicates if \ref _reached is locally allocated (\c true) or not.
   1.238 +    bool local_reached;
   1.239 +
   1.240 +    ///The source node of the last execution.
   1.241 +    Node source;
   1.242 +
   1.243 +    ///Creates the maps if necessary.
   1.244 +    
   1.245 +    ///\todo Error if \c G or are \c NULL. What about \c length?
   1.246 +    ///\todo Better memory allocation (instead of new).
   1.247 +    void create_maps() 
   1.248 +    {
   1.249 +      if(!_pred) {
   1.250 +	local_pred = true;
   1.251 +	_pred = Traits::createPredMap(*G);
   1.252 +      }
   1.253 +      if(!_predNode) {
   1.254 +	local_predNode = true;
   1.255 +	_predNode = Traits::createPredNodeMap(*G);
   1.256 +      }
   1.257 +      if(!_dist) {
   1.258 +	local_dist = true;
   1.259 +	_dist = Traits::createDistMap(*G);
   1.260 +      }
   1.261 +      if(!_reached) {
   1.262 +	local_reached = true;
   1.263 +	_reached = Traits::createReachedMap(*G);
   1.264 +      }
   1.265 +    }
   1.266 +    
   1.267 +  public :
   1.268 + 
   1.269 +    ///\name Named template parameters
   1.270 +
   1.271 +    ///@{
   1.272 +
   1.273 +    template <class T>
   1.274 +    struct DefPredMapTraits : public Traits {
   1.275 +      typedef T PredMap;
   1.276 +      static PredMap *createPredMap(const Graph &G) 
   1.277 +      {
   1.278 +	throw UninitializedParameter();
   1.279 +      }
   1.280 +    };
   1.281 +    ///\ref named-templ-param "Named parameter" for setting PredMap type
   1.282 +
   1.283 +    ///\ref named-templ-param "Named parameter" for setting PredMap type
   1.284 +    ///
   1.285 +    template <class T>
   1.286 +    class DefPredMap : public Dijkstra< Graph,
   1.287 +					LengthMap,
   1.288 +					DefPredMapTraits<T> > { };
   1.289 +    
   1.290 +    template <class T>
   1.291 +    struct DefPredNodeMapTraits : public Traits {
   1.292 +      typedef T PredNodeMap;
   1.293 +      static PredNodeMap *createPredNodeMap(const Graph &G) 
   1.294 +      {
   1.295 +	throw UninitializedParameter();
   1.296 +      }
   1.297 +    };
   1.298 +    ///\ref named-templ-param "Named parameter" for setting PredNodeMap type
   1.299 +
   1.300 +    ///\ref named-templ-param "Named parameter" for setting PredNodeMap type
   1.301 +    ///
   1.302 +    template <class T>
   1.303 +    class DefPredNodeMap : public Dijkstra< Graph,
   1.304 +					    LengthMap,
   1.305 +					    DefPredNodeMapTraits<T> > { };
   1.306 +    
   1.307 +    template <class T>
   1.308 +    struct DefDistMapTraits : public Traits {
   1.309 +      typedef T DistMap;
   1.310 +      static DistMap *createDistMap(const Graph &G) 
   1.311 +      {
   1.312 +	throw UninitializedParameter();
   1.313 +      }
   1.314 +    };
   1.315 +    ///\ref named-templ-param "Named parameter" for setting DistMap type
   1.316 +
   1.317 +    ///\ref named-templ-param "Named parameter" for setting DistMap type
   1.318 +    ///
   1.319 +    template <class T>
   1.320 +    class DefDistMap : public Dijkstra< Graph,
   1.321 +					LengthMap,
   1.322 +					DefDistMapTraits<T> > { };
   1.323 +    
   1.324 +    template <class T>
   1.325 +    struct DefReachedMapTraits : public Traits {
   1.326 +      typedef T ReachedMap;
   1.327 +      static ReachedMap *createReachedMap(const Graph &G) 
   1.328 +      {
   1.329 +	throw UninitializedParameter();
   1.330 +      }
   1.331 +    };
   1.332 +    ///\ref named-templ-param "Named parameter" for setting ReachedMap type
   1.333 +
   1.334 +    ///\ref named-templ-param "Named parameter" for setting ReachedMap type
   1.335 +    ///
   1.336 +    template <class T>
   1.337 +    class DefReachedMap : public Dijkstra< Graph,
   1.338 +					LengthMap,
   1.339 +					DefReachedMapTraits<T> > { };
   1.340 +    
   1.341 +    struct DefGraphReachedMapTraits : public Traits {
   1.342 +      typedef typename Graph::NodeMap<bool> ReachedMap;
   1.343 +      static ReachedMap *createReachedMap(const Graph &G) 
   1.344 +      {
   1.345 +	return new ReachedMap(G);
   1.346 +      }
   1.347 +    };
   1.348 +    ///\brief \ref named-templ-param "Named parameter"
   1.349 +    ///for setting the ReachedMap type to be Graph::NodeMap<bool>.
   1.350 +    ///
   1.351 +    ///\ref named-templ-param "Named parameter"
   1.352 +    ///for setting the ReachedMap type to be Graph::NodeMap<bool>.
   1.353 +    ///If you don't set it explicitely, it will be automatically allocated.
   1.354 +    template <class T>
   1.355 +    class DefReachedMapToBeDefaultMap :
   1.356 +      public Dijkstra< Graph,
   1.357 +		       LengthMap,
   1.358 +		       DefGraphReachedMapTraits> { };
   1.359 +    
   1.360 +    ///@}
   1.361 +
   1.362 +
   1.363 +  private:
   1.364 +    typename Graph::template NodeMap<int> _heap_map;
   1.365 +    Heap _heap;
   1.366 +  public:      
   1.367 +    
   1.368 +    ///Constructor.
   1.369 +    
   1.370 +    ///\param _G the graph the algorithm will run on.
   1.371 +    ///\param _length the length map used by the algorithm.
   1.372 +    Dijkstra(const Graph& _G, const LengthMap& _length) :
   1.373 +      G(&_G), length(&_length),
   1.374 +      _pred(NULL), local_pred(false),
   1.375 +      _predNode(NULL), local_predNode(false),
   1.376 +      _dist(NULL), local_dist(false),
   1.377 +      _reached(NULL), local_reached(false),
   1.378 +      _heap_map(*G,-1),_heap(_heap_map)
   1.379 +    { }
   1.380 +    
   1.381 +    ///Destructor.
   1.382 +    ~Dijkstra() 
   1.383 +    {
   1.384 +      if(local_pred) delete _pred;
   1.385 +      if(local_predNode) delete _predNode;
   1.386 +      if(local_dist) delete _dist;
   1.387 +      if(local_reached) delete _reached;
   1.388 +    }
   1.389 +
   1.390 +    ///Sets the length map.
   1.391 +
   1.392 +    ///Sets the length map.
   1.393 +    ///\return <tt> (*this) </tt>
   1.394 +    Dijkstra &lengthMap(const LengthMap &m) 
   1.395 +    {
   1.396 +      length = &m;
   1.397 +      return *this;
   1.398 +    }
   1.399 +
   1.400 +    ///Sets the map storing the predecessor edges.
   1.401 +
   1.402 +    ///Sets the map storing the predecessor edges.
   1.403 +    ///If you don't use this function before calling \ref run(),
   1.404 +    ///it will allocate one. The destuctor deallocates this
   1.405 +    ///automatically allocated map, of course.
   1.406 +    ///\return <tt> (*this) </tt>
   1.407 +    Dijkstra &predMap(PredMap &m) 
   1.408 +    {
   1.409 +      if(local_pred) {
   1.410 +	delete _pred;
   1.411 +	local_pred=false;
   1.412 +      }
   1.413 +      _pred = &m;
   1.414 +      return *this;
   1.415 +    }
   1.416 +
   1.417 +    ///Sets the map storing the predecessor nodes.
   1.418 +
   1.419 +    ///Sets the map storing the predecessor nodes.
   1.420 +    ///If you don't use this function before calling \ref run(),
   1.421 +    ///it will allocate one. The destuctor deallocates this
   1.422 +    ///automatically allocated map, of course.
   1.423 +    ///\return <tt> (*this) </tt>
   1.424 +    Dijkstra &predNodeMap(PredNodeMap &m) 
   1.425 +    {
   1.426 +      if(local_predNode) {
   1.427 +	delete _predNode;
   1.428 +	local_predNode=false;
   1.429 +      }
   1.430 +      _predNode = &m;
   1.431 +      return *this;
   1.432 +    }
   1.433 +
   1.434 +    ///Sets the map storing the distances calculated by the algorithm.
   1.435 +
   1.436 +    ///Sets the map storing the distances calculated by the algorithm.
   1.437 +    ///If you don't use this function before calling \ref run(),
   1.438 +    ///it will allocate one. The destuctor deallocates this
   1.439 +    ///automatically allocated map, of course.
   1.440 +    ///\return <tt> (*this) </tt>
   1.441 +    Dijkstra &distMap(DistMap &m) 
   1.442 +    {
   1.443 +      if(local_dist) {
   1.444 +	delete _dist;
   1.445 +	local_dist=false;
   1.446 +      }
   1.447 +      _dist = &m;
   1.448 +      return *this;
   1.449 +    }
   1.450 +
   1.451 +  private:
   1.452 +    void finalizeNodeData(Node v,Value dst)
   1.453 +    {
   1.454 +      _reached->set(v,true);
   1.455 +      _dist->set(v, dst);
   1.456 +      _predNode->set(v,G->source((*_pred)[v]));
   1.457 +    }
   1.458 +
   1.459 +  public:
   1.460 +    ///\name Excetution control
   1.461 +    ///The simplest way to execute the algorithm is to use
   1.462 +    ///\ref run().
   1.463 +    ///\n
   1.464 +    ///It you need more control on the execution,
   1.465 +    ///first you must call \ref init(), then you can add several source nodes
   1.466 +    ///with \ref addSource(). Finally \ref start() will perform the actual path
   1.467 +    ///computation.
   1.468 +
   1.469 +    ///@{
   1.470 +
   1.471 +    ///Initializes the internal data structures.
   1.472 +
   1.473 +    ///Initializes the internal data structures.
   1.474 +    ///
   1.475 +    ///\todo _heap_map's type could also be in the traits class.
   1.476 +    void init()
   1.477 +    {
   1.478 +      create_maps();
   1.479 +      
   1.480 +      for ( NodeIt u(*G) ; u!=INVALID ; ++u ) {
   1.481 +	_pred->set(u,INVALID);
   1.482 +	_predNode->set(u,INVALID);
   1.483 +	///\todo *_reached is not set to false.
   1.484 +	_heap_map.set(u,Heap::PRE_HEAP);
   1.485 +      }
   1.486 +    }
   1.487 +    
   1.488 +    ///Adds a new source node.
   1.489 +
   1.490 +    ///Adds a new source node the the priority heap.
   1.491 +    ///It checks if the node has already been added to the heap.
   1.492 +    ///
   1.493 +    ///The optional second parameter is the initial distance of the node.
   1.494 +    ///
   1.495 +    ///\todo Do we really want to check it?
   1.496 +    void addSource(Node s,Value dst=0)
   1.497 +    {
   1.498 +      source = s;
   1.499 +      if(_heap.state(s) != Heap::IN_HEAP) _heap.push(s,dst);
   1.500 +    }
   1.501 +    
   1.502 +    void processNode()
   1.503 +    {
   1.504 +      Node v=_heap.top(); 
   1.505 +      Value oldvalue=_heap[v];
   1.506 +      _heap.pop();
   1.507 +      finalizeNodeData(v,oldvalue);
   1.508 +      
   1.509 +      for(OutEdgeIt e(*G,v); e!=INVALID; ++e) {
   1.510 +	Node w=G->target(e); 
   1.511 +	switch(_heap.state(w)) {
   1.512 +	case Heap::PRE_HEAP:
   1.513 +	  _heap.push(w,oldvalue+(*length)[e]); 
   1.514 +	  _pred->set(w,e);
   1.515 +//  	  _predNode->set(w,v);
   1.516 +	  break;
   1.517 +	case Heap::IN_HEAP:
   1.518 +	  if ( oldvalue+(*length)[e] < _heap[w] ) {
   1.519 +	    _heap.decrease(w, oldvalue+(*length)[e]); 
   1.520 +	    _pred->set(w,e);
   1.521 +// 	    _predNode->set(w,v);
   1.522 +	  }
   1.523 +	  break;
   1.524 +	case Heap::POST_HEAP:
   1.525 +	  break;
   1.526 +	}
   1.527 +      }
   1.528 +    }
   1.529 +
   1.530 +    ///Executes the algorithm.
   1.531 +
   1.532 +    ///Executes the algorithm.
   1.533 +    ///
   1.534 +    ///\pre init() must be called and at least one node should be added
   1.535 +    ///with addSource() before using this function.
   1.536 +    ///
   1.537 +    ///This method runs the %Dijkstra algorithm from the root node(s)
   1.538 +    ///in order to
   1.539 +    ///compute the
   1.540 +    ///shortest path to each node. The algorithm computes
   1.541 +    ///- The shortest path tree.
   1.542 +    ///- The distance of each node from the root(s).
   1.543 +    ///
   1.544 +    void start()
   1.545 +    {
   1.546 +      while ( !_heap.empty() ) processNode();
   1.547 +    }
   1.548 +    
   1.549 +    ///Executes the algorithm until \c dest is reached.
   1.550 +
   1.551 +    ///Executes the algorithm until \c dest is reached.
   1.552 +    ///
   1.553 +    ///\pre init() must be called and at least one node should be added
   1.554 +    ///with addSource() before using this function.
   1.555 +    ///
   1.556 +    ///This method runs the %Dijkstra algorithm from the root node(s)
   1.557 +    ///in order to
   1.558 +    ///compute the
   1.559 +    ///shortest path to \c dest. The algorithm computes
   1.560 +    ///- The shortest path to \c  dest.
   1.561 +    ///- The distance of \c dest from the root(s).
   1.562 +    ///
   1.563 +    void start(Node dest)
   1.564 +    {
   1.565 +      while ( !_heap.empty() && _heap.top()!=dest ) processNode();
   1.566 +      if ( _heap.top()==dest ) finalizeNodeData(_heap.top());
   1.567 +    }
   1.568 +    
   1.569 +    ///Executes the algorithm until a condition is met.
   1.570 +
   1.571 +    ///Executes the algorithm until a condition is met.
   1.572 +    ///
   1.573 +    ///\pre init() must be called and at least one node should be added
   1.574 +    ///with addSource() before using this function.
   1.575 +    ///
   1.576 +    ///\param nm must be a bool (or convertible) node map. The algorithm
   1.577 +    ///will stop when it reaches a node \c v with <tt>nm[v]==true</tt>.
   1.578 +    template<class NM>
   1.579 +    void start(const NM &nm)
   1.580 +    {
   1.581 +      while ( !_heap.empty() && !mn[_heap.top()] ) processNode();
   1.582 +      if ( !_heap.empty() ) finalizeNodeData(_heap.top());
   1.583 +    }
   1.584 +    
   1.585 +    ///Runs %Dijkstra algorithm from node \c s.
   1.586 +    
   1.587 +    ///This method runs the %Dijkstra algorithm from a root node \c s
   1.588 +    ///in order to
   1.589 +    ///compute the
   1.590 +    ///shortest path to each node. The algorithm computes
   1.591 +    ///- The shortest path tree.
   1.592 +    ///- The distance of each node from the root.
   1.593 +    ///
   1.594 +    ///\note d.run(s) is just a shortcut of the following code.
   1.595 +    ///\code
   1.596 +    ///  d.init();
   1.597 +    ///  d.addSource(s);
   1.598 +    ///  d.start();
   1.599 +    ///\endcode
   1.600 +    void run(Node s) {
   1.601 +      init();
   1.602 +      addSource(s);
   1.603 +      start();
   1.604 +    }
   1.605 +    
   1.606 +    ///Finds the shortest path between \c s and \c t.
   1.607 +    
   1.608 +    ///Finds the shortest path between \c s and \c t.
   1.609 +    ///
   1.610 +    ///\return The length of the shortest s---t path if there exists one,
   1.611 +    ///0 otherwise.
   1.612 +    ///\note Apart from the return value, d.run(s) is
   1.613 +    ///just a shortcut of the following code.
   1.614 +    ///\code
   1.615 +    ///  d.init();
   1.616 +    ///  d.addSource(s);
   1.617 +    ///  d.start(t);
   1.618 +    ///\endcode
   1.619 +    Value run(Node s,Node t) {
   1.620 +      init();
   1.621 +      addSource(s);
   1.622 +      start(t);
   1.623 +      return (*_pred)[t]==INVALID?0:(*_dist)[t];
   1.624 +    }
   1.625 +    
   1.626 +    ///@}
   1.627 +
   1.628 +    ///\name Query Functions
   1.629 +    ///The result of the %Dijkstra algorithm can be obtained using these
   1.630 +    ///functions.\n
   1.631 +    ///Before the use of these functions,
   1.632 +    ///either run() or start() must be called.
   1.633 +    
   1.634 +    ///@{
   1.635 +
   1.636 +    ///The distance of a node from the root.
   1.637 +
   1.638 +    ///Returns the distance of a node from the root.
   1.639 +    ///\pre \ref run() must be called before using this function.
   1.640 +    ///\warning If node \c v in unreachable from the root the return value
   1.641 +    ///of this funcion is undefined.
   1.642 +    Value dist(Node v) const { return (*_dist)[v]; }
   1.643 +
   1.644 +    ///Returns the 'previous edge' of the shortest path tree.
   1.645 +
   1.646 +    ///For a node \c v it returns the 'previous edge' of the shortest path tree,
   1.647 +    ///i.e. it returns the last edge of a shortest path from the root to \c
   1.648 +    ///v. It is \ref INVALID
   1.649 +    ///if \c v is unreachable from the root or if \c v=s. The
   1.650 +    ///shortest path tree used here is equal to the shortest path tree used in
   1.651 +    ///\ref predNode(Node v).  \pre \ref run() must be called before using
   1.652 +    ///this function.
   1.653 +    ///\todo predEdge could be a better name.
   1.654 +    Edge pred(Node v) const { return (*_pred)[v]; }
   1.655 +
   1.656 +    ///Returns the 'previous node' of the shortest path tree.
   1.657 +
   1.658 +    ///For a node \c v it returns the 'previous node' of the shortest path tree,
   1.659 +    ///i.e. it returns the last but one node from a shortest path from the
   1.660 +    ///root to \c /v. It is INVALID if \c v is unreachable from the root or if
   1.661 +    ///\c v=s. The shortest path tree used here is equal to the shortest path
   1.662 +    ///tree used in \ref pred(Node v).  \pre \ref run() must be called before
   1.663 +    ///using this function.
   1.664 +    Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID:
   1.665 +				  G->source((*_pred)[v]); }
   1.666 +    
   1.667 +    ///Returns a reference to the NodeMap of distances.
   1.668 +
   1.669 +    ///Returns a reference to the NodeMap of distances. \pre \ref run() must
   1.670 +    ///be called before using this function.
   1.671 +    const DistMap &distMap() const { return *_dist;}
   1.672 + 
   1.673 +    ///Returns a reference to the shortest path tree map.
   1.674 +
   1.675 +    ///Returns a reference to the NodeMap of the edges of the
   1.676 +    ///shortest path tree.
   1.677 +    ///\pre \ref run() must be called before using this function.
   1.678 +    const PredMap &predMap() const { return *_pred;}
   1.679 + 
   1.680 +    ///Returns a reference to the map of nodes of shortest paths.
   1.681 +
   1.682 +    ///Returns a reference to the NodeMap of the last but one nodes of the
   1.683 +    ///shortest path tree.
   1.684 +    ///\pre \ref run() must be called before using this function.
   1.685 +    const PredNodeMap &predNodeMap() const { return *_predNode;}
   1.686 +
   1.687 +    ///Checks if a node is reachable from the root.
   1.688 +
   1.689 +    ///Returns \c true if \c v is reachable from the root.
   1.690 +    ///\warning If the algorithm is started from multiple nodes,
   1.691 +    ///this function may give false result for the source nodes.
   1.692 +    ///\pre \ref run() must be called before using this function.
   1.693 +    ///
   1.694 +    bool reached(Node v) { return v==source || (*_pred)[v]!=INVALID; }
   1.695 +    
   1.696 +    ///@}
   1.697 +  };
   1.698 +
   1.699 +  /// Default traits used by \ref DijkstraWizard
   1.700 +
   1.701 +  /// To make it easier to use Dijkstra algorithm we have created a wizard class.
   1.702 +  /// This \ref DijkstraWizard class needs default traits, as well as the \ref Dijkstra class.
   1.703 +  /// The \ref DijkstraWizardBase is a class to be the default traits of the
   1.704 +  /// \ref DijkstraWizard class.
   1.705 +  template<class GR,class LM>
   1.706 +  class DijkstraWizardBase : public DijkstraDefaultTraits<GR,LM>
   1.707 +  {
   1.708 +
   1.709 +    typedef DijkstraDefaultTraits<GR,LM> Base;
   1.710 +  protected:
   1.711 +    /// Pointer to the underlying graph.
   1.712 +    void *_g;
   1.713 +    /// Pointer to the length map
   1.714 +    void *_length;
   1.715 +    ///Pointer to the map of predecessors edges.
   1.716 +    void *_pred;
   1.717 +    ///Pointer to the map of predecessors nodes.
   1.718 +    void *_predNode;
   1.719 +    ///Pointer to the map of distances.
   1.720 +    void *_dist;
   1.721 +    ///Pointer to the source node.
   1.722 +    void *_source;
   1.723 +
   1.724 +    /// Type of the nodes in the graph.
   1.725 +    typedef typename Base::Graph::Node Node;
   1.726 +
   1.727 +    public:
   1.728 +    /// Constructor.
   1.729 +    
   1.730 +    /// This constructor does not require parameters, therefore it initiates
   1.731 +    /// all of the attributes to default values (0, INVALID).
   1.732 +    DijkstraWizardBase() : _g(0), _length(0), _pred(0), _predNode(0),
   1.733 +		       _dist(0), _source(INVALID) {}
   1.734 +
   1.735 +    /// Constructor.
   1.736 +    
   1.737 +    /// This constructor requires some parameters, listed in the parameters list.
   1.738 +    /// Others are initiated to 0.
   1.739 +    /// \param g is the initial value of  \ref _g
   1.740 +    /// \param l is the initial value of  \ref _length
   1.741 +    /// \param s is the initial value of  \ref _source
   1.742 +    DijkstraWizardBase(const GR &g,const LM &l, Node s=INVALID) :
   1.743 +      _g((void *)&g), _length((void *)&l), _pred(0), _predNode(0),
   1.744 +		  _dist(0), _source((void *)&s) {}
   1.745 +
   1.746 +  };
   1.747 +  
   1.748 +  /// A class to make easier the usage of Dijkstra algorithm
   1.749 +
   1.750 +  /// This class is created to make it easier to use Dijkstra algorithm.
   1.751 +  /// It uses the functions and features of the plain \ref Dijkstra,
   1.752 +  /// but it is much more simple to use it.
   1.753 +  ///
   1.754 +  /// Simplicity means that the way to change the types defined
   1.755 +  /// in the traits class is based on functions that returns the new class
   1.756 +  /// and not on templatable built-in classes. When using the plain \ref Dijkstra
   1.757 +  /// the new class with the modified type comes from the original class by using the ::
   1.758 +  /// operator. In the case of \ref DijkstraWizard only a function have to be called and it will
   1.759 +  /// return the needed class.
   1.760 +  ///
   1.761 +  /// It does not have own \ref run method. When its \ref run method is called
   1.762 +  /// it initiates a plain \ref Dijkstra class, and calls the \ref Dijkstra::run
   1.763 +  /// method of it.
   1.764 +  template<class TR>
   1.765 +  class DijkstraWizard : public TR
   1.766 +  {
   1.767 +    typedef TR Base;
   1.768 +
   1.769 +    ///The type of the underlying graph.
   1.770 +    typedef typename TR::Graph Graph;
   1.771 +    //\e
   1.772 +    typedef typename Graph::Node Node;
   1.773 +    //\e
   1.774 +    typedef typename Graph::NodeIt NodeIt;
   1.775 +    //\e
   1.776 +    typedef typename Graph::Edge Edge;
   1.777 +    //\e
   1.778 +    typedef typename Graph::OutEdgeIt OutEdgeIt;
   1.779 +    
   1.780 +    ///The type of the map that stores the edge lengths.
   1.781 +    typedef typename TR::LengthMap LengthMap;
   1.782 +    ///The type of the length of the edges.
   1.783 +    typedef typename LengthMap::Value Value;
   1.784 +    ///\brief The type of the map that stores the last
   1.785 +    ///edges of the shortest paths.
   1.786 +    typedef typename TR::PredMap PredMap;
   1.787 +    ///\brief The type of the map that stores the last but one
   1.788 +    ///nodes of the shortest paths.
   1.789 +    typedef typename TR::PredNodeMap PredNodeMap;
   1.790 +    ///The type of the map that stores the dists of the nodes.
   1.791 +    typedef typename TR::DistMap DistMap;
   1.792 +
   1.793 +    ///The heap type used by the dijkstra algorithm.
   1.794 +    typedef typename TR::Heap Heap;
   1.795 +public:
   1.796 +    /// Constructor.
   1.797 +    DijkstraWizard() : TR() {}
   1.798 +
   1.799 +    /// Constructor that requires parameters.
   1.800 +
   1.801 +    /// Constructor that requires parameters.
   1.802 +    /// These parameters will be the default values for the traits class.
   1.803 +    DijkstraWizard(const Graph &g,const LengthMap &l, Node s=INVALID) :
   1.804 +      TR(g,l,s) {}
   1.805 +
   1.806 +    ///Copy constructor
   1.807 +    DijkstraWizard(const TR &b) : TR(b) {}
   1.808 +
   1.809 +    ~DijkstraWizard() {}
   1.810 +
   1.811 +    ///Runs Dijkstra algorithm from a given node.
   1.812 +    
   1.813 +    ///Runs Dijkstra algorithm from a given node.
   1.814 +    ///The node can be given by the \ref source function.
   1.815 +    void run()
   1.816 +    {
   1.817 +      if(_source==0) throw UninitializedParameter();
   1.818 +      Dijkstra<Graph,LengthMap,TR> Dij(*(Graph*)_g,*(LengthMap*)_length);
   1.819 +      if(_pred) Dij.predMap(*(PredMap*)_pred);
   1.820 +      if(_predNode) Dij.predNodeMap(*(PredNodeMap*)_predNode);
   1.821 +      if(_dist) Dij.distMap(*(DistMap*)_dist);
   1.822 +      Dij.run(*(Node*)_source);
   1.823 +    }
   1.824 +
   1.825 +    ///Runs Dijkstra algorithm from the given node.
   1.826 +
   1.827 +    ///Runs Dijkstra algorithm from the given node.
   1.828 +    ///\param s is the given source.
   1.829 +    void run(Node s)
   1.830 +    {
   1.831 +      _source=(void *)&s;
   1.832 +      run();
   1.833 +    }
   1.834 +
   1.835 +    template<class T>
   1.836 +    struct DefPredMapBase : public Base {
   1.837 +      typedef T PredMap;
   1.838 +      static PredMap *createPredMap(const Graph &G) { return 0; };
   1.839 +      DefPredMapBase(const Base &b) : Base(b) {}
   1.840 +    };
   1.841 +    
   1.842 +    /// \ref named-templ-param "Named parameter" function for setting PredMap type
   1.843 +
   1.844 +    /// \ref named-templ-param "Named parameter" function for setting PredMap type
   1.845 +    ///
   1.846 +    template<class T>
   1.847 +    DijkstraWizard<DefPredMapBase<T> > predMap(const T &t) 
   1.848 +    {
   1.849 +      _pred=(void *)&t;
   1.850 +      return DijkstraWizard<DefPredMapBase<T> >(*this);
   1.851 +    }
   1.852 +    
   1.853 +
   1.854 +    template<class T>
   1.855 +    struct DefPredNodeMapBase : public Base {
   1.856 +      typedef T PredNodeMap;
   1.857 +      static PredNodeMap *createPredNodeMap(const Graph &G) { return 0; };
   1.858 +      DefPredNodeMapBase(const Base &b) : Base(b) {}
   1.859 +    };
   1.860 +    
   1.861 +    /// \ref named-templ-param "Named parameter" function for setting PredNodeMap type
   1.862 +
   1.863 +    /// \ref named-templ-param "Named parameter" function for setting PredNodeMap type
   1.864 +    ///
   1.865 +    template<class T>
   1.866 +    DijkstraWizard<DefPredNodeMapBase<T> > predNodeMap(const T &t) 
   1.867 +    {
   1.868 +      _predNode=(void *)&t;
   1.869 +      return DijkstraWizard<DefPredNodeMapBase<T> >(*this);
   1.870 +    }
   1.871 +   
   1.872 +    template<class T>
   1.873 +    struct DefDistMapBase : public Base {
   1.874 +      typedef T DistMap;
   1.875 +      static DistMap *createDistMap(const Graph &G) { return 0; };
   1.876 +      DefDistMapBase(const Base &b) : Base(b) {}
   1.877 +    };
   1.878 +    
   1.879 +    /// \ref named-templ-param "Named parameter" function for setting DistMap type
   1.880 +
   1.881 +    /// \ref named-templ-param "Named parameter" function for setting DistMap type
   1.882 +    ///
   1.883 +    template<class T>
   1.884 +    DijkstraWizard<DefDistMapBase<T> > distMap(const T &t) 
   1.885 +    {
   1.886 +      _dist=(void *)&t;
   1.887 +      return DijkstraWizard<DefDistMapBase<T> >(*this);
   1.888 +    }
   1.889 +    
   1.890 +    /// Sets the source node, from which the Dijkstra algorithm runs.
   1.891 +
   1.892 +    /// Sets the source node, from which the Dijkstra algorithm runs.
   1.893 +    /// \param s is the source node.
   1.894 +    DijkstraWizard<TR> &source(Node s) 
   1.895 +    {
   1.896 +      source=(void *)&s;
   1.897 +      return *this;
   1.898 +    }
   1.899 +    
   1.900 +  };
   1.901 +  
   1.902 +  ///\e
   1.903 +
   1.904 +  ///\todo Please document...
   1.905 +  ///
   1.906 +  template<class GR, class LM>
   1.907 +  DijkstraWizard<DijkstraWizardBase<GR,LM> >
   1.908 +  dijkstra(const GR &g,const LM &l,typename GR::Node s=INVALID)
   1.909 +  {
   1.910 +    return DijkstraWizard<DijkstraWizardBase<GR,LM> >(g,l,s);
   1.911 +  }
   1.912 +
   1.913 +/// @}
   1.914 +  
   1.915 +} //END OF NAMESPACE LEMON
   1.916 +
   1.917 +#endif
   1.918 +
     2.1 --- a/src/work/alpar/dijkstra.h	Sun Feb 06 20:08:25 2005 +0000
     2.2 +++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
     2.3 @@ -1,915 +0,0 @@
     2.4 -/* -*- C++ -*-
     2.5 - * src/lemon/dijkstra.h - Part of LEMON, a generic C++ optimization library
     2.6 - *
     2.7 - * Copyright (C) 2004 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
     2.8 - * (Egervary Combinatorial Optimization Research Group, EGRES).
     2.9 - *
    2.10 - * Permission to use, modify and distribute this software is granted
    2.11 - * provided that this copyright notice appears in all copies. For
    2.12 - * precise terms see the accompanying LICENSE file.
    2.13 - *
    2.14 - * This software is provided "AS IS" with no warranty of any kind,
    2.15 - * express or implied, and with no claim as to its suitability for any
    2.16 - * purpose.
    2.17 - *
    2.18 - */
    2.19 -
    2.20 -#ifndef LEMON_DIJKSTRA_H
    2.21 -#define LEMON_DIJKSTRA_H
    2.22 -
    2.23 -///\ingroup flowalgs
    2.24 -///\file
    2.25 -///\brief Dijkstra algorithm.
    2.26 -
    2.27 -#include <lemon/list_graph.h>
    2.28 -#include <lemon/bin_heap.h>
    2.29 -#include <lemon/invalid.h>
    2.30 -#include <lemon/error.h>
    2.31 -#include <lemon/maps.h>
    2.32 -
    2.33 -namespace lemon {
    2.34 -
    2.35 -
    2.36 -/// \addtogroup flowalgs
    2.37 -/// @{
    2.38 -
    2.39 -  ///Default traits class of Dijkstra class.
    2.40 -
    2.41 -  ///Default traits class of Dijkstra class.
    2.42 -  ///\param GR Graph type.
    2.43 -  ///\param LM Type of length map.
    2.44 -  template<class GR, class LM>
    2.45 -  struct DijkstraDefaultTraits
    2.46 -  {
    2.47 -    ///The graph type the algorithm runs on. 
    2.48 -    typedef GR Graph;
    2.49 -    ///The type of the map that stores the edge lengths.
    2.50 -
    2.51 -    ///The type of the map that stores the edge lengths.
    2.52 -    ///It must meet the \ref concept::ReadMap "ReadMap" concept.
    2.53 -    typedef LM LengthMap;
    2.54 -    //The type of the length of the edges.
    2.55 -    typedef typename LM::Value Value;
    2.56 -    ///The heap type used by Dijkstra algorithm.
    2.57 -
    2.58 -    ///The heap type used by Dijkstra algorithm.
    2.59 -    ///
    2.60 -    ///\sa BinHeap
    2.61 -    ///\sa Dijkstra
    2.62 -    typedef BinHeap<typename Graph::Node,
    2.63 -		    typename LM::Value,
    2.64 -		    typename GR::template NodeMap<int>,
    2.65 -		    std::less<Value> > Heap;
    2.66 -
    2.67 -    ///\brief The type of the map that stores the last
    2.68 -    ///edges of the shortest paths.
    2.69 -    /// 
    2.70 -    ///The type of the map that stores the last
    2.71 -    ///edges of the shortest paths.
    2.72 -    ///It must meet the \ref concept::WriteMap "WriteMap" concept.
    2.73 -    ///
    2.74 -    typedef typename Graph::template NodeMap<typename GR::Edge> PredMap;
    2.75 -    ///Instantiates a PredMap.
    2.76 - 
    2.77 -    ///This function instantiates a \ref PredMap. 
    2.78 -    ///\param G is the graph, to which we would like to define the PredMap.
    2.79 -    ///\todo The graph alone may be insufficient for the initialization
    2.80 -    static PredMap *createPredMap(const GR &G) 
    2.81 -    {
    2.82 -      return new PredMap(G);
    2.83 -    }
    2.84 -    ///\brief The type of the map that stores the last but one
    2.85 -    ///nodes of the shortest paths.
    2.86 -    ///
    2.87 -    ///The type of the map that stores the last but one
    2.88 -    ///nodes of the shortest paths.
    2.89 -    ///It must meet the \ref concept::WriteMap "WriteMap" concept.
    2.90 -    ///
    2.91 -    typedef NullMap<typename Graph::Node,typename Graph::Node> PredNodeMap;
    2.92 -    ///Instantiates a PredNodeMap.
    2.93 -    
    2.94 -    ///This function instantiates a \ref PredNodeMap. 
    2.95 -    ///\param G is the graph, to which we would like to define the \ref PredNodeMap
    2.96 -    static PredNodeMap *createPredNodeMap(const GR &G)
    2.97 -    {
    2.98 -      return new PredNodeMap();
    2.99 -    }
   2.100 -
   2.101 -    ///The type of the map that stores whether a nodes is reached.
   2.102 - 
   2.103 -    ///The type of the map that stores whether a nodes is reached.
   2.104 -    ///It must meet the \ref concept::WriteMap "WriteMap" concept.
   2.105 -    ///By default it is a NullMap.
   2.106 -    ///\todo If it is set to a real map, Dijkstra::reached() should read this.
   2.107 -    ///\todo named parameter to set this type, function to read and write.
   2.108 -    typedef NullMap<typename Graph::Node,bool> ReachedMap;
   2.109 -    ///Instantiates a ReachedMap.
   2.110 - 
   2.111 -    ///This function instantiates a \ref ReachedMap. 
   2.112 -    ///\param G is the graph, to which we would like to define the \ref ReachedMap
   2.113 -    static ReachedMap *createReachedMap(const GR &G)
   2.114 -    {
   2.115 -      return new ReachedMap();
   2.116 -    }
   2.117 -    ///The type of the map that stores the dists of the nodes.
   2.118 - 
   2.119 -    ///The type of the map that stores the dists of the nodes.
   2.120 -    ///It must meet the \ref concept::WriteMap "WriteMap" concept.
   2.121 -    ///
   2.122 -    typedef typename Graph::template NodeMap<typename LM::Value> DistMap;
   2.123 -    ///Instantiates a DistMap.
   2.124 - 
   2.125 -    ///This function instantiates a \ref DistMap. 
   2.126 -    ///\param G is the graph, to which we would like to define the \ref DistMap
   2.127 -    static DistMap *createDistMap(const GR &G)
   2.128 -    {
   2.129 -      return new DistMap(G);
   2.130 -    }
   2.131 -  };
   2.132 -  
   2.133 -  ///%Dijkstra algorithm class.
   2.134 -  
   2.135 -  ///This class provides an efficient implementation of %Dijkstra algorithm.
   2.136 -  ///The edge lengths are passed to the algorithm using a
   2.137 -  ///\ref concept::ReadMap "ReadMap",
   2.138 -  ///so it is easy to change it to any kind of length.
   2.139 -  ///
   2.140 -  ///The type of the length is determined by the
   2.141 -  ///\ref concept::ReadMap::Value "Value" of the length map.
   2.142 -  ///
   2.143 -  ///It is also possible to change the underlying priority heap.
   2.144 -  ///
   2.145 -  ///\param GR The graph type the algorithm runs on. The default value is
   2.146 -  ///\ref ListGraph. The value of GR is not used directly by Dijkstra, it
   2.147 -  ///is only passed to \ref DijkstraDefaultTraits.
   2.148 -  ///\param LM This read-only
   2.149 -  ///EdgeMap
   2.150 -  ///determines the
   2.151 -  ///lengths of the edges. It is read once for each edge, so the map
   2.152 -  ///may involve in relatively time consuming process to compute the edge
   2.153 -  ///length if it is necessary. The default map type is
   2.154 -  ///\ref concept::StaticGraph::EdgeMap "Graph::EdgeMap<int>".
   2.155 -  ///The value of LM is not used directly by Dijkstra, it
   2.156 -  ///is only passed to \ref DijkstraDefaultTraits.
   2.157 -  ///\param TR Traits class to set various data types used by the algorithm.
   2.158 -  ///The default traits class is
   2.159 -  ///\ref DijkstraDefaultTraits "DijkstraDefaultTraits<GR,LM>".
   2.160 -  ///See \ref DijkstraDefaultTraits for the documentation of
   2.161 -  ///a Dijkstra traits class.
   2.162 -  ///
   2.163 -  ///\author Jacint Szabo and Alpar Juttner
   2.164 -  ///\todo A compare object would be nice.
   2.165 -
   2.166 -#ifdef DOXYGEN
   2.167 -  template <typename GR,
   2.168 -	    typename LM,
   2.169 -	    typename TR>
   2.170 -#else
   2.171 -  template <typename GR=ListGraph,
   2.172 -	    typename LM=typename GR::template EdgeMap<int>,
   2.173 -	    typename TR=DijkstraDefaultTraits<GR,LM> >
   2.174 -#endif
   2.175 -  class Dijkstra {
   2.176 -  public:
   2.177 -    /**
   2.178 -     * \brief \ref Exception for uninitialized parameters.
   2.179 -     *
   2.180 -     * This error represents problems in the initialization
   2.181 -     * of the parameters of the algorithms.
   2.182 -     */
   2.183 -    class UninitializedParameter : public lemon::UninitializedParameter {
   2.184 -    public:
   2.185 -      virtual const char* exceptionName() const {
   2.186 -	return "lemon::Dijsktra::UninitializedParameter";
   2.187 -      }
   2.188 -    };
   2.189 -
   2.190 -    typedef TR Traits;
   2.191 -    ///The type of the underlying graph.
   2.192 -    typedef typename TR::Graph Graph;
   2.193 -    ///\e
   2.194 -    typedef typename Graph::Node Node;
   2.195 -    ///\e
   2.196 -    typedef typename Graph::NodeIt NodeIt;
   2.197 -    ///\e
   2.198 -    typedef typename Graph::Edge Edge;
   2.199 -    ///\e
   2.200 -    typedef typename Graph::OutEdgeIt OutEdgeIt;
   2.201 -    
   2.202 -    ///The type of the length of the edges.
   2.203 -    typedef typename TR::LengthMap::Value Value;
   2.204 -    ///The type of the map that stores the edge lengths.
   2.205 -    typedef typename TR::LengthMap LengthMap;
   2.206 -    ///\brief The type of the map that stores the last
   2.207 -    ///edges of the shortest paths.
   2.208 -    typedef typename TR::PredMap PredMap;
   2.209 -    ///\brief The type of the map that stores the last but one
   2.210 -    ///nodes of the shortest paths.
   2.211 -    typedef typename TR::PredNodeMap PredNodeMap;
   2.212 -    ///The type of the map indicating if a node is reached.
   2.213 -    typedef typename TR::ReachedMap ReachedMap;
   2.214 -    ///The type of the map that stores the dists of the nodes.
   2.215 -    typedef typename TR::DistMap DistMap;
   2.216 -    ///The heap type used by the dijkstra algorithm.
   2.217 -    typedef typename TR::Heap Heap;
   2.218 -  private:
   2.219 -    /// Pointer to the underlying graph.
   2.220 -    const Graph *G;
   2.221 -    /// Pointer to the length map
   2.222 -    const LengthMap *length;
   2.223 -    ///Pointer to the map of predecessors edges.
   2.224 -    PredMap *_pred;
   2.225 -    ///Indicates if \ref _pred is locally allocated (\c true) or not.
   2.226 -    bool local_pred;
   2.227 -    ///Pointer to the map of predecessors nodes.
   2.228 -    PredNodeMap *_predNode;
   2.229 -    ///Indicates if \ref _predNode is locally allocated (\c true) or not.
   2.230 -    bool local_predNode;
   2.231 -    ///Pointer to the map of distances.
   2.232 -    DistMap *_dist;
   2.233 -    ///Indicates if \ref _dist is locally allocated (\c true) or not.
   2.234 -    bool local_dist;
   2.235 -    ///Pointer to the map of reached status of the nodes.
   2.236 -    ReachedMap *_reached;
   2.237 -    ///Indicates if \ref _reached is locally allocated (\c true) or not.
   2.238 -    bool local_reached;
   2.239 -
   2.240 -    ///The source node of the last execution.
   2.241 -    Node source;
   2.242 -
   2.243 -    ///Creates the maps if necessary.
   2.244 -    
   2.245 -    ///\todo Error if \c G or are \c NULL. What about \c length?
   2.246 -    ///\todo Better memory allocation (instead of new).
   2.247 -    void create_maps() 
   2.248 -    {
   2.249 -      if(!_pred) {
   2.250 -	local_pred = true;
   2.251 -	_pred = Traits::createPredMap(*G);
   2.252 -      }
   2.253 -      if(!_predNode) {
   2.254 -	local_predNode = true;
   2.255 -	_predNode = Traits::createPredNodeMap(*G);
   2.256 -      }
   2.257 -      if(!_dist) {
   2.258 -	local_dist = true;
   2.259 -	_dist = Traits::createDistMap(*G);
   2.260 -      }
   2.261 -      if(!_reached) {
   2.262 -	local_reached = true;
   2.263 -	_reached = Traits::createReachedMap(*G);
   2.264 -      }
   2.265 -    }
   2.266 -    
   2.267 -  public :
   2.268 - 
   2.269 -    ///\name Named template parameters
   2.270 -
   2.271 -    ///@{
   2.272 -
   2.273 -    template <class T>
   2.274 -    struct DefPredMapTraits : public Traits {
   2.275 -      typedef T PredMap;
   2.276 -      static PredMap *createPredMap(const Graph &G) 
   2.277 -      {
   2.278 -	throw UninitializedParameter();
   2.279 -      }
   2.280 -    };
   2.281 -    ///\ref named-templ-param "Named parameter" for setting PredMap type
   2.282 -
   2.283 -    ///\ref named-templ-param "Named parameter" for setting PredMap type
   2.284 -    ///
   2.285 -    template <class T>
   2.286 -    class DefPredMap : public Dijkstra< Graph,
   2.287 -					LengthMap,
   2.288 -					DefPredMapTraits<T> > { };
   2.289 -    
   2.290 -    template <class T>
   2.291 -    struct DefPredNodeMapTraits : public Traits {
   2.292 -      typedef T PredNodeMap;
   2.293 -      static PredNodeMap *createPredNodeMap(const Graph &G) 
   2.294 -      {
   2.295 -	throw UninitializedParameter();
   2.296 -      }
   2.297 -    };
   2.298 -    ///\ref named-templ-param "Named parameter" for setting PredNodeMap type
   2.299 -
   2.300 -    ///\ref named-templ-param "Named parameter" for setting PredNodeMap type
   2.301 -    ///
   2.302 -    template <class T>
   2.303 -    class DefPredNodeMap : public Dijkstra< Graph,
   2.304 -					    LengthMap,
   2.305 -					    DefPredNodeMapTraits<T> > { };
   2.306 -    
   2.307 -    template <class T>
   2.308 -    struct DefDistMapTraits : public Traits {
   2.309 -      typedef T DistMap;
   2.310 -      static DistMap *createDistMap(const Graph &G) 
   2.311 -      {
   2.312 -	throw UninitializedParameter();
   2.313 -      }
   2.314 -    };
   2.315 -    ///\ref named-templ-param "Named parameter" for setting DistMap type
   2.316 -
   2.317 -    ///\ref named-templ-param "Named parameter" for setting DistMap type
   2.318 -    ///
   2.319 -    template <class T>
   2.320 -    class DefDistMap : public Dijkstra< Graph,
   2.321 -					LengthMap,
   2.322 -					DefDistMapTraits<T> > { };
   2.323 -    
   2.324 -    template <class T>
   2.325 -    struct DefReachedMapTraits : public Traits {
   2.326 -      typedef T ReachedMap;
   2.327 -      static ReachedMap *createReachedMap(const Graph &G) 
   2.328 -      {
   2.329 -	throw UninitializedParameter();
   2.330 -      }
   2.331 -    };
   2.332 -    ///\ref named-templ-param "Named parameter" for setting ReachedMap type
   2.333 -
   2.334 -    ///\ref named-templ-param "Named parameter" for setting ReachedMap type
   2.335 -    ///
   2.336 -    template <class T>
   2.337 -    class DefReachedMap : public Dijkstra< Graph,
   2.338 -					LengthMap,
   2.339 -					DefReachedMapTraits<T> > { };
   2.340 -    
   2.341 -    struct DefGraphReachedMapTraits : public Traits {
   2.342 -      typedef typename Graph::NodeMap<bool> ReachedMap;
   2.343 -      static ReachedMap *createReachedMap(const Graph &G) 
   2.344 -      {
   2.345 -	return new ReachedMap(G);
   2.346 -      }
   2.347 -    };
   2.348 -    ///\brief \ref named-templ-param "Named parameter"
   2.349 -    ///for setting the ReachedMap type to be Graph::NodeMap<bool>.
   2.350 -    ///
   2.351 -    ///\ref named-templ-param "Named parameter"
   2.352 -    ///for setting the ReachedMap type to be Graph::NodeMap<bool>.
   2.353 -    ///If you don't set it explicitely, it will be automatically allocated.
   2.354 -    template <class T>
   2.355 -    class DefReachedMapToBeDefaultMap :
   2.356 -      public Dijkstra< Graph,
   2.357 -		       LengthMap,
   2.358 -		       DefGraphReachedMapTraits> { };
   2.359 -    
   2.360 -    ///@}
   2.361 -
   2.362 -
   2.363 -  private:
   2.364 -    typename Graph::template NodeMap<int> _heap_map;
   2.365 -    Heap _heap;
   2.366 -  public:      
   2.367 -    
   2.368 -    ///Constructor.
   2.369 -    
   2.370 -    ///\param _G the graph the algorithm will run on.
   2.371 -    ///\param _length the length map used by the algorithm.
   2.372 -    Dijkstra(const Graph& _G, const LengthMap& _length) :
   2.373 -      G(&_G), length(&_length),
   2.374 -      _pred(NULL), local_pred(false),
   2.375 -      _predNode(NULL), local_predNode(false),
   2.376 -      _dist(NULL), local_dist(false),
   2.377 -      _reached(NULL), local_reached(false),
   2.378 -      _heap_map(*G,-1),_heap(_heap_map)
   2.379 -    { }
   2.380 -    
   2.381 -    ///Destructor.
   2.382 -    ~Dijkstra() 
   2.383 -    {
   2.384 -      if(local_pred) delete _pred;
   2.385 -      if(local_predNode) delete _predNode;
   2.386 -      if(local_dist) delete _dist;
   2.387 -      if(local_reached) delete _reached;
   2.388 -    }
   2.389 -
   2.390 -    ///Sets the length map.
   2.391 -
   2.392 -    ///Sets the length map.
   2.393 -    ///\return <tt> (*this) </tt>
   2.394 -    Dijkstra &lengthMap(const LengthMap &m) 
   2.395 -    {
   2.396 -      length = &m;
   2.397 -      return *this;
   2.398 -    }
   2.399 -
   2.400 -    ///Sets the map storing the predecessor edges.
   2.401 -
   2.402 -    ///Sets the map storing the predecessor edges.
   2.403 -    ///If you don't use this function before calling \ref run(),
   2.404 -    ///it will allocate one. The destuctor deallocates this
   2.405 -    ///automatically allocated map, of course.
   2.406 -    ///\return <tt> (*this) </tt>
   2.407 -    Dijkstra &predMap(PredMap &m) 
   2.408 -    {
   2.409 -      if(local_pred) {
   2.410 -	delete _pred;
   2.411 -	local_pred=false;
   2.412 -      }
   2.413 -      _pred = &m;
   2.414 -      return *this;
   2.415 -    }
   2.416 -
   2.417 -    ///Sets the map storing the predecessor nodes.
   2.418 -
   2.419 -    ///Sets the map storing the predecessor nodes.
   2.420 -    ///If you don't use this function before calling \ref run(),
   2.421 -    ///it will allocate one. The destuctor deallocates this
   2.422 -    ///automatically allocated map, of course.
   2.423 -    ///\return <tt> (*this) </tt>
   2.424 -    Dijkstra &predNodeMap(PredNodeMap &m) 
   2.425 -    {
   2.426 -      if(local_predNode) {
   2.427 -	delete _predNode;
   2.428 -	local_predNode=false;
   2.429 -      }
   2.430 -      _predNode = &m;
   2.431 -      return *this;
   2.432 -    }
   2.433 -
   2.434 -    ///Sets the map storing the distances calculated by the algorithm.
   2.435 -
   2.436 -    ///Sets the map storing the distances calculated by the algorithm.
   2.437 -    ///If you don't use this function before calling \ref run(),
   2.438 -    ///it will allocate one. The destuctor deallocates this
   2.439 -    ///automatically allocated map, of course.
   2.440 -    ///\return <tt> (*this) </tt>
   2.441 -    Dijkstra &distMap(DistMap &m) 
   2.442 -    {
   2.443 -      if(local_dist) {
   2.444 -	delete _dist;
   2.445 -	local_dist=false;
   2.446 -      }
   2.447 -      _dist = &m;
   2.448 -      return *this;
   2.449 -    }
   2.450 -
   2.451 -  private:
   2.452 -    void finalizeNodeData(Node v,Value dst)
   2.453 -    {
   2.454 -      _reached->set(v,true);
   2.455 -      _dist->set(v, dst);
   2.456 -      _predNode->set(v,G->source((*_pred)[v]));
   2.457 -    }
   2.458 -
   2.459 -  public:
   2.460 -    ///\name Excetution control
   2.461 -    ///The simplest way to execute the algorithm is to use
   2.462 -    ///\ref run().
   2.463 -    ///\n
   2.464 -    ///It you need more control on the execution,
   2.465 -    ///first you must call \ref init(), then you can add several source nodes
   2.466 -    ///with \ref addSource(). Finally \ref start() will perform the actual path
   2.467 -    ///computation.
   2.468 -
   2.469 -    ///@{
   2.470 -
   2.471 -    ///Initializes the internal data structures.
   2.472 -
   2.473 -    ///Initializes the internal data structures.
   2.474 -    ///
   2.475 -    ///\todo _heap_map's type could also be in the traits class.
   2.476 -    void init()
   2.477 -    {
   2.478 -      create_maps();
   2.479 -      
   2.480 -      for ( NodeIt u(*G) ; u!=INVALID ; ++u ) {
   2.481 -	_pred->set(u,INVALID);
   2.482 -	_predNode->set(u,INVALID);
   2.483 -	///\todo *_reached is not set to false.
   2.484 -	_heap_map.set(u,Heap::PRE_HEAP);
   2.485 -      }
   2.486 -    }
   2.487 -    
   2.488 -    ///Adds a new source node.
   2.489 -
   2.490 -    ///Adds a new source node the the priority heap.
   2.491 -    ///It checks if the node has already been added to the heap.
   2.492 -    ///
   2.493 -    ///The optional second parameter is the initial distance of the node.
   2.494 -    ///
   2.495 -    ///\todo Do we really want to check it?
   2.496 -    void addSource(Node s,Value dst=0)
   2.497 -    {
   2.498 -      source = s;
   2.499 -      if(_heap.state(s) != Heap::IN_HEAP) _heap.push(s,dst);
   2.500 -    }
   2.501 -    
   2.502 -    void processNode()
   2.503 -    {
   2.504 -      Node v=_heap.top(); 
   2.505 -      Value oldvalue=_heap[v];
   2.506 -      _heap.pop();
   2.507 -      finalizeNodeData(v,oldvalue);
   2.508 -      
   2.509 -      for(OutEdgeIt e(*G,v); e!=INVALID; ++e) {
   2.510 -	Node w=G->target(e); 
   2.511 -	switch(_heap.state(w)) {
   2.512 -	case Heap::PRE_HEAP:
   2.513 -	  _heap.push(w,oldvalue+(*length)[e]); 
   2.514 -	  _pred->set(w,e);
   2.515 -//  	  _predNode->set(w,v);
   2.516 -	  break;
   2.517 -	case Heap::IN_HEAP:
   2.518 -	  if ( oldvalue+(*length)[e] < _heap[w] ) {
   2.519 -	    _heap.decrease(w, oldvalue+(*length)[e]); 
   2.520 -	    _pred->set(w,e);
   2.521 -// 	    _predNode->set(w,v);
   2.522 -	  }
   2.523 -	  break;
   2.524 -	case Heap::POST_HEAP:
   2.525 -	  break;
   2.526 -	}
   2.527 -      }
   2.528 -    }
   2.529 -
   2.530 -    ///Executes the algorithm.
   2.531 -
   2.532 -    ///Executes the algorithm.
   2.533 -    ///
   2.534 -    ///\pre init() must be called and at least one node should be added
   2.535 -    ///with addSource() before using this function.
   2.536 -    ///
   2.537 -    ///This method runs the %Dijkstra algorithm from the root node(s)
   2.538 -    ///in order to
   2.539 -    ///compute the
   2.540 -    ///shortest path to each node. The algorithm computes
   2.541 -    ///- The shortest path tree.
   2.542 -    ///- The distance of each node from the root(s).
   2.543 -    ///
   2.544 -    void start()
   2.545 -    {
   2.546 -      while ( !_heap.empty() ) processNode();
   2.547 -    }
   2.548 -    
   2.549 -    ///Executes the algorithm until \c dest is reached.
   2.550 -
   2.551 -    ///Executes the algorithm until \c dest is reached.
   2.552 -    ///
   2.553 -    ///\pre init() must be called and at least one node should be added
   2.554 -    ///with addSource() before using this function.
   2.555 -    ///
   2.556 -    ///This method runs the %Dijkstra algorithm from the root node(s)
   2.557 -    ///in order to
   2.558 -    ///compute the
   2.559 -    ///shortest path to \c dest. The algorithm computes
   2.560 -    ///- The shortest path to \c  dest.
   2.561 -    ///- The distance of \c dest from the root(s).
   2.562 -    ///
   2.563 -    void start(Node dest)
   2.564 -    {
   2.565 -      while ( !_heap.empty() && _heap.top()!=dest ) processNode();
   2.566 -      if ( _heap.top()==dest ) finalizeNodeData(_heap.top());
   2.567 -    }
   2.568 -    
   2.569 -    ///Executes the algorithm until a condition is met.
   2.570 -
   2.571 -    ///Executes the algorithm until a condition is met.
   2.572 -    ///
   2.573 -    ///\pre init() must be called and at least one node should be added
   2.574 -    ///with addSource() before using this function.
   2.575 -    ///
   2.576 -    ///\param nm must be a bool (or convertible) node map. The algorithm
   2.577 -    ///will stop when it reaches a node \c v with <tt>nm[v]==true</tt>.
   2.578 -    template<class NM>
   2.579 -    void start(const NM &nm)
   2.580 -    {
   2.581 -      while ( !_heap.empty() && !mn[_heap.top()] ) processNode();
   2.582 -      if ( !_heap.empty() ) finalizeNodeData(_heap.top());
   2.583 -    }
   2.584 -    
   2.585 -    ///Runs %Dijkstra algorithm from node \c s.
   2.586 -    
   2.587 -    ///This method runs the %Dijkstra algorithm from a root node \c s
   2.588 -    ///in order to
   2.589 -    ///compute the
   2.590 -    ///shortest path to each node. The algorithm computes
   2.591 -    ///- The shortest path tree.
   2.592 -    ///- The distance of each node from the root.
   2.593 -    ///
   2.594 -    ///\note d.run(s) is just a shortcut of the following code.
   2.595 -    ///\code
   2.596 -    ///  d.init();
   2.597 -    ///  d.addSource(s);
   2.598 -    ///  d.start();
   2.599 -    ///\endcode
   2.600 -    void run(Node s) {
   2.601 -      init();
   2.602 -      addSource(s);
   2.603 -      start();
   2.604 -    }
   2.605 -    
   2.606 -    ///Finds the shortest path between \c s and \c t.
   2.607 -    
   2.608 -    ///Finds the shortest path between \c s and \c t.
   2.609 -    ///
   2.610 -    ///\return The length of the shortest s---t path if there exists one,
   2.611 -    ///0 otherwise.
   2.612 -    ///\note Apart from the return value, d.run(s) is
   2.613 -    ///just a shortcut of the following code.
   2.614 -    ///\code
   2.615 -    ///  d.init();
   2.616 -    ///  d.addSource(s);
   2.617 -    ///  d.start(t);
   2.618 -    ///\endcode
   2.619 -    Value run(Node s,Node t) {
   2.620 -      init();
   2.621 -      addSource(s);
   2.622 -      start(t);
   2.623 -      return (*_pred)[t]==INVALID?0:(*_dist)[t];
   2.624 -    }
   2.625 -    
   2.626 -    ///@}
   2.627 -
   2.628 -    ///\name Query Functions
   2.629 -    ///The result of the %Dijkstra algorithm can be obtained using these
   2.630 -    ///functions.\n
   2.631 -    ///Before the use of these functions,
   2.632 -    ///either run() or start() must be called.
   2.633 -    
   2.634 -    ///@{
   2.635 -
   2.636 -    ///The distance of a node from the root.
   2.637 -
   2.638 -    ///Returns the distance of a node from the root.
   2.639 -    ///\pre \ref run() must be called before using this function.
   2.640 -    ///\warning If node \c v in unreachable from the root the return value
   2.641 -    ///of this funcion is undefined.
   2.642 -    Value dist(Node v) const { return (*_dist)[v]; }
   2.643 -
   2.644 -    ///Returns the 'previous edge' of the shortest path tree.
   2.645 -
   2.646 -    ///For a node \c v it returns the 'previous edge' of the shortest path tree,
   2.647 -    ///i.e. it returns the last edge of a shortest path from the root to \c
   2.648 -    ///v. It is \ref INVALID
   2.649 -    ///if \c v is unreachable from the root or if \c v=s. The
   2.650 -    ///shortest path tree used here is equal to the shortest path tree used in
   2.651 -    ///\ref predNode(Node v).  \pre \ref run() must be called before using
   2.652 -    ///this function.
   2.653 -    ///\todo predEdge could be a better name.
   2.654 -    Edge pred(Node v) const { return (*_pred)[v]; }
   2.655 -
   2.656 -    ///Returns the 'previous node' of the shortest path tree.
   2.657 -
   2.658 -    ///For a node \c v it returns the 'previous node' of the shortest path tree,
   2.659 -    ///i.e. it returns the last but one node from a shortest path from the
   2.660 -    ///root to \c /v. It is INVALID if \c v is unreachable from the root or if
   2.661 -    ///\c v=s. The shortest path tree used here is equal to the shortest path
   2.662 -    ///tree used in \ref pred(Node v).  \pre \ref run() must be called before
   2.663 -    ///using this function.
   2.664 -    Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID:
   2.665 -				  G->source((*_pred)[v]); }
   2.666 -    
   2.667 -    ///Returns a reference to the NodeMap of distances.
   2.668 -
   2.669 -    ///Returns a reference to the NodeMap of distances. \pre \ref run() must
   2.670 -    ///be called before using this function.
   2.671 -    const DistMap &distMap() const { return *_dist;}
   2.672 - 
   2.673 -    ///Returns a reference to the shortest path tree map.
   2.674 -
   2.675 -    ///Returns a reference to the NodeMap of the edges of the
   2.676 -    ///shortest path tree.
   2.677 -    ///\pre \ref run() must be called before using this function.
   2.678 -    const PredMap &predMap() const { return *_pred;}
   2.679 - 
   2.680 -    ///Returns a reference to the map of nodes of shortest paths.
   2.681 -
   2.682 -    ///Returns a reference to the NodeMap of the last but one nodes of the
   2.683 -    ///shortest path tree.
   2.684 -    ///\pre \ref run() must be called before using this function.
   2.685 -    const PredNodeMap &predNodeMap() const { return *_predNode;}
   2.686 -
   2.687 -    ///Checks if a node is reachable from the root.
   2.688 -
   2.689 -    ///Returns \c true if \c v is reachable from the root.
   2.690 -    ///\warning If the algorithm is started from multiple nodes,
   2.691 -    ///this function may give false result for the source nodes.
   2.692 -    ///\pre \ref run() must be called before using this function.
   2.693 -    ///
   2.694 -    bool reached(Node v) { return v==source || (*_pred)[v]!=INVALID; }
   2.695 -    
   2.696 -    ///@}
   2.697 -  };
   2.698 -
   2.699 -  /// Default traits used by \ref DijkstraWizard
   2.700 -
   2.701 -  /// To make it easier to use Dijkstra algorithm we have created a wizard class.
   2.702 -  /// This \ref DijkstraWizard class needs default traits, as well as the \ref Dijkstra class.
   2.703 -  /// The \ref DijkstraWizardBase is a class to be the default traits of the
   2.704 -  /// \ref DijkstraWizard class.
   2.705 -  template<class GR,class LM>
   2.706 -  class DijkstraWizardBase : public DijkstraDefaultTraits<GR,LM>
   2.707 -  {
   2.708 -
   2.709 -    typedef DijkstraDefaultTraits<GR,LM> Base;
   2.710 -  protected:
   2.711 -    /// Pointer to the underlying graph.
   2.712 -    void *_g;
   2.713 -    /// Pointer to the length map
   2.714 -    void *_length;
   2.715 -    ///Pointer to the map of predecessors edges.
   2.716 -    void *_pred;
   2.717 -    ///Pointer to the map of predecessors nodes.
   2.718 -    void *_predNode;
   2.719 -    ///Pointer to the map of distances.
   2.720 -    void *_dist;
   2.721 -    ///Pointer to the source node.
   2.722 -    void *_source;
   2.723 -
   2.724 -    /// Type of the nodes in the graph.
   2.725 -    typedef typename Base::Graph::Node Node;
   2.726 -
   2.727 -    public:
   2.728 -    /// Constructor.
   2.729 -    
   2.730 -    /// This constructor does not require parameters, therefore it initiates
   2.731 -    /// all of the attributes to default values (0, INVALID).
   2.732 -    DijkstraWizardBase() : _g(0), _length(0), _pred(0), _predNode(0),
   2.733 -		       _dist(0), _source(INVALID) {}
   2.734 -
   2.735 -    /// Constructor.
   2.736 -    
   2.737 -    /// This constructor requires some parameters, listed in the parameters list.
   2.738 -    /// Others are initiated to 0.
   2.739 -    /// \param g is the initial value of  \ref _g
   2.740 -    /// \param l is the initial value of  \ref _length
   2.741 -    /// \param s is the initial value of  \ref _source
   2.742 -    DijkstraWizardBase(const GR &g,const LM &l, Node s=INVALID) :
   2.743 -      _g((void *)&g), _length((void *)&l), _pred(0), _predNode(0),
   2.744 -		  _dist(0), _source((void *)&s) {}
   2.745 -
   2.746 -  };
   2.747 -  
   2.748 -  /// A class to make easier the usage of Dijkstra algorithm
   2.749 -
   2.750 -  /// This class is created to make it easier to use Dijkstra algorithm.
   2.751 -  /// It uses the functions and features of the plain \ref Dijkstra,
   2.752 -  /// but it is much more simple to use it.
   2.753 -  ///
   2.754 -  /// Simplicity means that the way to change the types defined
   2.755 -  /// in the traits class is based on functions that returns the new class
   2.756 -  /// and not on templatable built-in classes. When using the plain \ref Dijkstra
   2.757 -  /// the new class with the modified type comes from the original class by using the ::
   2.758 -  /// operator. In the case of \ref DijkstraWizard only a function have to be called and it will
   2.759 -  /// return the needed class.
   2.760 -  ///
   2.761 -  /// It does not have own \ref run method. When its \ref run method is called
   2.762 -  /// it initiates a plain \ref Dijkstra class, and calls the \ref Dijkstra::run
   2.763 -  /// method of it.
   2.764 -  template<class TR>
   2.765 -  class DijkstraWizard : public TR
   2.766 -  {
   2.767 -    typedef TR Base;
   2.768 -
   2.769 -    ///The type of the underlying graph.
   2.770 -    typedef typename TR::Graph Graph;
   2.771 -    //\e
   2.772 -    typedef typename Graph::Node Node;
   2.773 -    //\e
   2.774 -    typedef typename Graph::NodeIt NodeIt;
   2.775 -    //\e
   2.776 -    typedef typename Graph::Edge Edge;
   2.777 -    //\e
   2.778 -    typedef typename Graph::OutEdgeIt OutEdgeIt;
   2.779 -    
   2.780 -    ///The type of the map that stores the edge lengths.
   2.781 -    typedef typename TR::LengthMap LengthMap;
   2.782 -    ///The type of the length of the edges.
   2.783 -    typedef typename LengthMap::Value Value;
   2.784 -    ///\brief The type of the map that stores the last
   2.785 -    ///edges of the shortest paths.
   2.786 -    typedef typename TR::PredMap PredMap;
   2.787 -    ///\brief The type of the map that stores the last but one
   2.788 -    ///nodes of the shortest paths.
   2.789 -    typedef typename TR::PredNodeMap PredNodeMap;
   2.790 -    ///The type of the map that stores the dists of the nodes.
   2.791 -    typedef typename TR::DistMap DistMap;
   2.792 -
   2.793 -    ///The heap type used by the dijkstra algorithm.
   2.794 -    typedef typename TR::Heap Heap;
   2.795 -public:
   2.796 -    /// Constructor.
   2.797 -    DijkstraWizard() : TR() {}
   2.798 -
   2.799 -    /// Constructor that requires parameters.
   2.800 -
   2.801 -    /// Constructor that requires parameters.
   2.802 -    /// These parameters will be the default values for the traits class.
   2.803 -    DijkstraWizard(const Graph &g,const LengthMap &l, Node s=INVALID) :
   2.804 -      TR(g,l,s) {}
   2.805 -
   2.806 -    ///Copy constructor
   2.807 -    DijkstraWizard(const TR &b) : TR(b) {}
   2.808 -
   2.809 -    ~DijkstraWizard() {}
   2.810 -
   2.811 -    ///Runs Dijkstra algorithm from a given node.
   2.812 -    
   2.813 -    ///Runs Dijkstra algorithm from a given node.
   2.814 -    ///The node can be given by the \ref source function.
   2.815 -    void run()
   2.816 -    {
   2.817 -      if(_source==0) throw UninitializedParameter();
   2.818 -      Dijkstra<Graph,LengthMap,TR> Dij(*(Graph*)_g,*(LengthMap*)_length);
   2.819 -      if(_pred) Dij.predMap(*(PredMap*)_pred);
   2.820 -      if(_predNode) Dij.predNodeMap(*(PredNodeMap*)_predNode);
   2.821 -      if(_dist) Dij.distMap(*(DistMap*)_dist);
   2.822 -      Dij.run(*(Node*)_source);
   2.823 -    }
   2.824 -
   2.825 -    ///Runs Dijkstra algorithm from the given node.
   2.826 -
   2.827 -    ///Runs Dijkstra algorithm from the given node.
   2.828 -    ///\param s is the given source.
   2.829 -    void run(Node s)
   2.830 -    {
   2.831 -      _source=(void *)&s;
   2.832 -      run();
   2.833 -    }
   2.834 -
   2.835 -    template<class T>
   2.836 -    struct DefPredMapBase : public Base {
   2.837 -      typedef T PredMap;
   2.838 -      static PredMap *createPredMap(const Graph &G) { return 0; };
   2.839 -      DefPredMapBase(const Base &b) : Base(b) {}
   2.840 -    };
   2.841 -    
   2.842 -    /// \ref named-templ-param "Named parameter" function for setting PredMap type
   2.843 -
   2.844 -    /// \ref named-templ-param "Named parameter" function for setting PredMap type
   2.845 -    ///
   2.846 -    template<class T>
   2.847 -    DijkstraWizard<DefPredMapBase<T> > predMap(const T &t) 
   2.848 -    {
   2.849 -      _pred=(void *)&t;
   2.850 -      return DijkstraWizard<DefPredMapBase<T> >(*this);
   2.851 -    }
   2.852 -    
   2.853 -
   2.854 -    template<class T>
   2.855 -    struct DefPredNodeMapBase : public Base {
   2.856 -      typedef T PredNodeMap;
   2.857 -      static PredNodeMap *createPredNodeMap(const Graph &G) { return 0; };
   2.858 -      DefPredNodeMapBase(const Base &b) : Base(b) {}
   2.859 -    };
   2.860 -    
   2.861 -    /// \ref named-templ-param "Named parameter" function for setting PredNodeMap type
   2.862 -
   2.863 -    /// \ref named-templ-param "Named parameter" function for setting PredNodeMap type
   2.864 -    ///
   2.865 -    template<class T>
   2.866 -    DijkstraWizard<DefPredNodeMapBase<T> > predNodeMap(const T &t) 
   2.867 -    {
   2.868 -      _predNode=(void *)&t;
   2.869 -      return DijkstraWizard<DefPredNodeMapBase<T> >(*this);
   2.870 -    }
   2.871 -   
   2.872 -    template<class T>
   2.873 -    struct DefDistMapBase : public Base {
   2.874 -      typedef T DistMap;
   2.875 -      static DistMap *createDistMap(const Graph &G) { return 0; };
   2.876 -      DefDistMapBase(const Base &b) : Base(b) {}
   2.877 -    };
   2.878 -    
   2.879 -    /// \ref named-templ-param "Named parameter" function for setting DistMap type
   2.880 -
   2.881 -    /// \ref named-templ-param "Named parameter" function for setting DistMap type
   2.882 -    ///
   2.883 -    template<class T>
   2.884 -    DijkstraWizard<DefDistMapBase<T> > distMap(const T &t) 
   2.885 -    {
   2.886 -      _dist=(void *)&t;
   2.887 -      return DijkstraWizard<DefDistMapBase<T> >(*this);
   2.888 -    }
   2.889 -    
   2.890 -    /// Sets the source node, from which the Dijkstra algorithm runs.
   2.891 -
   2.892 -    /// Sets the source node, from which the Dijkstra algorithm runs.
   2.893 -    /// \param s is the source node.
   2.894 -    DijkstraWizard<TR> &source(Node s) 
   2.895 -    {
   2.896 -      source=(void *)&s;
   2.897 -      return *this;
   2.898 -    }
   2.899 -    
   2.900 -  };
   2.901 -  
   2.902 -  ///\e
   2.903 -
   2.904 -  ///\todo Please document...
   2.905 -  ///
   2.906 -  template<class GR, class LM>
   2.907 -  DijkstraWizard<DijkstraWizardBase<GR,LM> >
   2.908 -  dijkstra(const GR &g,const LM &l,typename GR::Node s=INVALID)
   2.909 -  {
   2.910 -    return DijkstraWizard<DijkstraWizardBase<GR,LM> >(g,l,s);
   2.911 -  }
   2.912 -
   2.913 -/// @}
   2.914 -  
   2.915 -} //END OF NAMESPACE LEMON
   2.916 -
   2.917 -#endif
   2.918 -