/* -*- C++ -*-

  * src/lemon/dijkstra.h - Part of LEMON, a generic C++ optimization library

  *

  * Copyright (C) 2004 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

  * (Egervary Combinatorial Optimization Research Group, EGRES).

  *

  * Permission to use, modify and distribute this software is granted

  * provided that this copyright notice appears in all copies. For

  * precise terms see the accompanying LICENSE file.

  *

  * This software is provided "AS IS" with no warranty of any kind,

  * express or implied, and with no claim as to its suitability for any

  * purpose.

  *

  */

 #ifndef LEMON_DIJKSTRA_H

 #define LEMON_DIJKSTRA_H

 ///\ingroup flowalgs

 ///\file

 ///\brief Dijkstra algorithm.

 #include <lemon/list_graph.h>

 #include <lemon/bin_heap.h>

 #include <lemon/invalid.h>

 namespace lemon {

 /// \addtogroup flowalgs

 /// @{

   ///Default traits class of Dijkstra class.

   ///Default traits class of Dijkstra class.

   ///\param GR Graph type.

   ///\param LM Type of length map.

   template<class GR, class LM>

   struct DijkstraDefaultTraits

   {

     ///The graph type the algorithm runs on. 

     typedef GR Graph;

     ///The type of the map that stores the edge lengths.

     ///It must meet the \ref concept::ReadMap "ReadMap" concept.

     ///

     typedef LM LengthMap;

     //The type of the length of the edges.

     typedef typename LM::ValueType ValueType;

     ///The heap type used by Dijkstra algorithm.

     ///The heap type used by Dijkstra algorithm.

     ///

     ///\sa BinHeap

     ///\sa Dijkstra

     typedef BinHeap<typename Graph::Node,

 		    typename LM::ValueType,

 		    typename GR::template NodeMap<int>,

 		    std::less<ValueType> > Heap;

     ///\brief The type of the map that stores the last

     ///edges of the shortest paths.

     /// 

     ///It must meet the \ref concept::WriteMap "WriteMap" concept.

     ///

     typedef typename Graph::template NodeMap<typename GR::Edge> PredMap;

     ///Instantiates a PredMap.

     ///\todo Please document...

     ///

     static PredMap *createPredMap(const GR &G) 

     {

       return new PredMap(G);

     }

     ///\brief The type of the map that stores the last but one

     ///nodes of the shortest paths.

     ///

     ///It must meet the \ref concept::WriteMap "WriteMap" concept.

     ///

     typedef typename Graph::template NodeMap<typename GR::Node> PredNodeMap;

     ///Instantiates a PredNodeMap.

     ///\todo Please document...

     ///

     static PredNodeMap *createPredNodeMap(const GR &G)

     {

       return new PredNodeMap(G);

     }

     ///The type of the map that stores the dists of the nodes.

     ///It must meet the \ref concept::WriteMap "WriteMap" concept.

     ///

     typedef typename Graph::template NodeMap<typename LM::ValueType> DistMap;

     ///Instantiates a DistMap.

     ///\todo Please document...

     ///

     static DistMap *createDistMap(const GR &G)

     {

       return new DistMap(G);

     }

   };

   ///%Dijkstra algorithm class.

   ///This class provides an efficient implementation of %Dijkstra algorithm.

   ///The edge lengths are passed to the algorithm using a

   ///\ref concept::ReadMap "ReadMap",

   ///so it is easy to change it to any kind of length.

   ///

   ///The type of the length is determined by the

   ///\ref concept::ReadMap::ValueType "ValueType" of the length map.

   ///

   ///It is also possible to change the underlying priority heap.

   ///

   ///\param GR The graph type the algorithm runs on. The default value is

   ///\ref ListGraph. The value of GR is not used directly by Dijkstra, it

   ///is only passed to \ref DijkstraDefaultTraits.

   ///\param LM This read-only

   ///EdgeMap

   ///determines the

   ///lengths of the edges. It is read once for each edge, so the map

   ///may involve in relatively time consuming process to compute the edge

   ///length if it is necessary. The default map type is

   ///\ref concept::StaticGraph::EdgeMap "Graph::EdgeMap<int>".

   ///The value of LM is not used directly by Dijkstra, it

   ///is only passed to \ref DijkstraDefaultTraits.

   ///\param TR Traits class to set various data types used by the algorithm.

   ///The default traits class is

   ///\ref DijkstraDefaultTraits "DijkstraDefaultTraits<GR,LM>".

   ///See \ref DijkstraDefaultTraits for the documentation of

   ///a Dijkstra traits class.

   ///

   ///\author Jacint Szabo and Alpar Juttner

   ///\todo We need a typedef-names should be standardized. (-:

 #ifdef DOXYGEN

   template <typename GR,

 	    typename LM,

 	    typename TR>

 #else

   template <typename GR=ListGraph,

 	    typename LM=typename GR::template EdgeMap<int>,

 	    typename TR=DijkstraDefaultTraits<GR,LM> >

 #endif

   class Dijkstra{

   public:

     typedef TR Traits;

     ///The type of the underlying graph.

     typedef typename TR::Graph Graph;

     ///\e

     typedef typename Graph::Node Node;

     ///\e

     typedef typename Graph::NodeIt NodeIt;

     ///\e

     typedef typename Graph::Edge Edge;

     ///\e

     typedef typename Graph::OutEdgeIt OutEdgeIt;

     ///The type of the length of the edges.

     typedef typename TR::LengthMap::ValueType ValueType;

     ///The type of the map that stores the edge lengths.

     typedef typename TR::LengthMap LengthMap;

     ///\brief The type of the map that stores the last

     ///edges of the shortest paths.

     typedef typename TR::PredMap PredMap;

     ///\brief The type of the map that stores the last but one

     ///nodes of the shortest paths.

     typedef typename TR::PredNodeMap PredNodeMap;

     ///The type of the map that stores the dists of the nodes.

     typedef typename TR::DistMap DistMap;

     ///The heap type used by the dijkstra algorithm.

     typedef typename TR::Heap Heap;

   private:

     /// Pointer to the underlying graph.

     const Graph *G;

     /// Pointer to the length map

     const LengthMap *length;

     ///Pointer to the map of predecessors edges.

     PredMap *predecessor;

     ///Indicates if \ref predecessor is locally allocated (\c true) or not.

     bool local_predecessor;

     ///Pointer to the map of predecessors nodes.

     PredNodeMap *pred_node;

     ///Indicates if \ref pred_node is locally allocated (\c true) or not.

     bool local_pred_node;

     ///Pointer to the map of distances.

     DistMap *distance;

     ///Indicates if \ref distance is locally allocated (\c true) or not.

     bool local_distance;

     ///The source node of the last execution.

     Node source;

     ///Initializes the maps.

     ///\todo Error if \c G or are \c NULL. What about \c length?

     ///\todo Better memory allocation (instead of new).

     void init_maps() 

     {

       if(!predecessor) {

 	local_predecessor = true;

 	predecessor = Traits::createPredMap(*G);

       }

       if(!pred_node) {

 	local_pred_node = true;

 	pred_node = Traits::createPredNodeMap(*G);

       }

       if(!distance) {

 	local_distance = true;

 	distance = Traits::createDistMap(*G);

       }

     }

   public :

     template <class T>

     struct SetPredMapTraits : public Traits {

       typedef T PredMap;

       ///\todo An exception should be thrown.

       ///

       static PredMap *createPredMap(const Graph &G) 

       {

 	std::cerr << __FILE__ ":" << __LINE__ <<

 	  ": error: Special maps should be manually created" << std::endl;

 	exit(1);

       }

     };

     ///\ref named-templ-param "Named parameter" for setting PredMap type

     ///\relates Dijkstra

     ///\ingroup flowalgs 

     ///\ref named-templ-param "Named parameter" for setting PredMap type

     template <class T>

     class SetPredMap : public Dijkstra< Graph,

 					LengthMap,

 					SetPredMapTraits<T> > { };

     template <class T>

     struct SetPredNodeMapTraits : public Traits {

       typedef T PredNodeMap;

       ///\todo An exception should be thrown.

       ///

       static PredNodeMap *createPredNodeMap(const Graph &G) 

       {

 	std::cerr << __FILE__ ":" << __LINE__ <<

 	  ": error: Special maps should be manually created" << std::endl;

 	exit(1);

       }

     };

     ///\ref named-templ-param "Named parameter" for setting PredNodeMap type

     ///\ingroup flowalgs 

     ///\ref named-templ-param "Named parameter" for setting PredNodeMap type

     template <class T>

     class SetPredNodeMap : public Dijkstra< Graph,

 					    LengthMap,

 					    SetPredNodeMapTraits<T> > { };

     template <class T>

     struct SetDistMapTraits : public Traits {

       typedef T DistMap;

       ///\todo An exception should be thrown.

       ///

       static DistMap *createDistMap(const Graph &G) 

       {

 	std::cerr << __FILE__ ":" << __LINE__ <<

 	  ": error: Special maps should be manually created" << std::endl;

 	exit(1);

       }

     };

     ///\ref named-templ-param "Named parameter" for setting DistMap type

     ///\ingroup flowalgs 

     ///\ref named-templ-param "Named parameter" for setting DistMap type

     template <class T>

     class SetDistMap : public Dijkstra< Graph,

 					LengthMap,

 					SetDistMapTraits<T> > { };

     ///Constructor.

     ///\param _G the graph the algorithm will run on.

     ///\param _length the length map used by the algorithm.

     Dijkstra(const Graph& _G, const LengthMap& _length) :

       G(&_G), length(&_length),

       predecessor(NULL), local_predecessor(false),

       pred_node(NULL), local_pred_node(false),

       distance(NULL), local_distance(false)

     { }

     ///Destructor.

     ~Dijkstra() 

     {

       if(local_predecessor) delete predecessor;

       if(local_pred_node) delete pred_node;

       if(local_distance) delete distance;

     }

     ///Sets the length map.

     ///Sets the length map.

     ///\return <tt> (*this) </tt>

     Dijkstra &setLengthMap(const LengthMap &m) 

     {

       length = &m;

       return *this;

     }

     ///Sets the map storing the predecessor edges.

     ///Sets the map storing the predecessor edges.

     ///If you don't use this function before calling \ref run(),

     ///it will allocate one. The destuctor deallocates this

     ///automatically allocated map, of course.

     ///\return <tt> (*this) </tt>

     Dijkstra &setPredMap(PredMap &m) 

     {

       if(local_predecessor) {

 	delete predecessor;

 	local_predecessor=false;

       }

       predecessor = &m;

       return *this;

     }

     ///Sets the map storing the predecessor nodes.

     ///Sets the map storing the predecessor nodes.

     ///If you don't use this function before calling \ref run(),

     ///it will allocate one. The destuctor deallocates this

     ///automatically allocated map, of course.

     ///\return <tt> (*this) </tt>

     Dijkstra &setPredNodeMap(PredNodeMap &m) 

     {

       if(local_pred_node) {

 	delete pred_node;

 	local_pred_node=false;

       }

       pred_node = &m;

       return *this;

     }

     ///Sets the map storing the distances calculated by the algorithm.

     ///Sets the map storing the distances calculated by the algorithm.

     ///If you don't use this function before calling \ref run(),

     ///it will allocate one. The destuctor deallocates this

     ///automatically allocated map, of course.

     ///\return <tt> (*this) </tt>

     Dijkstra &setDistMap(DistMap &m) 

     {

       if(local_distance) {

 	delete distance;

 	local_distance=false;

       }

       distance = &m;

       return *this;

     }

   ///Runs %Dijkstra algorithm from node \c s.

   ///This method runs the %Dijkstra algorithm from a root node \c s

   ///in order to

   ///compute the

   ///shortest path to each node. The algorithm computes

   ///- The shortest path tree.

   ///- The distance of each node from the root.

   ///\todo heap_map's type could also be in the traits class.

     void run(Node s) {

       init_maps();

       source = s;

       for ( NodeIt u(*G) ; u!=INVALID ; ++u ) {

 	predecessor->set(u,INVALID);

 	pred_node->set(u,INVALID);

       }

       typename Graph::template NodeMap<int> heap_map(*G,-1);

       Heap heap(heap_map);

       heap.push(s,0); 

       while ( !heap.empty() ) {

 	Node v=heap.top(); 

 	ValueType oldvalue=heap[v];

 	heap.pop();

 	distance->set(v, oldvalue);

 	for(OutEdgeIt e(*G,v); e!=INVALID; ++e) {

 	  Node w=G->head(e); 

 	  switch(heap.state(w)) {

 	  case Heap::PRE_HEAP:

 	    heap.push(w,oldvalue+(*length)[e]); 

 	    predecessor->set(w,e);

 	    pred_node->set(w,v);

 	    break;

 	  case Heap::IN_HEAP:

 	    if ( oldvalue+(*length)[e] < heap[w] ) {

 	      heap.decrease(w, oldvalue+(*length)[e]); 

 	      predecessor->set(w,e);

 	      pred_node->set(w,v);

 	    }

 	    break;

 	  case Heap::POST_HEAP:

 	    break;

 	  }

 	}

       }

     }

     ///The distance of a node from the root.

     ///Returns the distance of a node from the root.

     ///\pre \ref run() must be called before using this function.

     ///\warning If node \c v in unreachable from the root the return value

     ///of this funcion is undefined.

     ValueType dist(Node v) const { return (*distance)[v]; }

     ///Returns the 'previous edge' of the shortest path tree.

     ///For a node \c v it returns the 'previous edge' of the shortest path tree,

     ///i.e. it returns the last edge of a shortest path from the root to \c

     ///v. It is \ref INVALID

     ///if \c v is unreachable from the root or if \c v=s. The

     ///shortest path tree used here is equal to the shortest path tree used in

     ///\ref predNode(Node v).  \pre \ref run() must be called before using

     ///this function.

     ///\todo predEdge could be a better name.

     Edge pred(Node v) const { return (*predecessor)[v]; }

     ///Returns the 'previous node' of the shortest path tree.

     ///For a node \c v it returns the 'previous node' of the shortest path tree,

     ///i.e. it returns the last but one node from a shortest path from the

     ///root to \c /v. It is INVALID if \c v is unreachable from the root or if

     ///\c v=s. The shortest path tree used here is equal to the shortest path

     ///tree used in \ref pred(Node v).  \pre \ref run() must be called before

     ///using this function.

     Node predNode(Node v) const { return (*pred_node)[v]; }

     ///Returns a reference to the NodeMap of distances.

     ///Returns a reference to the NodeMap of distances. \pre \ref run() must

     ///be called before using this function.

     const DistMap &distMap() const { return *distance;}

     ///Returns a reference to the shortest path tree map.

     ///Returns a reference to the NodeMap of the edges of the

     ///shortest path tree.

     ///\pre \ref run() must be called before using this function.

     const PredMap &predMap() const { return *predecessor;}

     ///Returns a reference to the map of nodes of shortest paths.

     ///Returns a reference to the NodeMap of the last but one nodes of the

     ///shortest path tree.

     ///\pre \ref run() must be called before using this function.

     const PredNodeMap &predNodeMap() const { return *pred_node;}

     ///Checks if a node is reachable from the root.

     ///Returns \c true if \c v is reachable from the root.

     ///\note The root node is reported to be reached!

     ///\pre \ref run() must be called before using this function.

     ///

     bool reached(Node v) { return v==source || (*predecessor)[v]!=INVALID; }

   };

   ///\e

   ///\e

   ///

   template<class TR>

   class _Dijkstra 

   {

     typedef TR Traits;

     ///The type of the underlying graph.

     typedef typename TR::Graph Graph;

     ///\e

     typedef typename Graph::Node Node;

     ///\e

     typedef typename Graph::NodeIt NodeIt;

     ///\e

     typedef typename Graph::Edge Edge;

     ///\e

     typedef typename Graph::OutEdgeIt OutEdgeIt;

     ///The type of the map that stores the edge lengths.

     typedef typename TR::LengthMap LengthMap;

     ///The type of the length of the edges.

     typedef typename LengthMap::ValueType ValueType;

     ///\brief The type of the map that stores the last

     ///edges of the shortest paths.

     typedef typename TR::PredMap PredMap;

     ///\brief The type of the map that stores the last but one

     ///nodes of the shortest paths.

     typedef typename TR::PredNodeMap PredNodeMap;

     ///The type of the map that stores the dists of the nodes.

     typedef typename TR::DistMap DistMap;

     ///The heap type used by the dijkstra algorithm.

     typedef typename TR::Heap Heap;

     /// Pointer to the underlying graph.

     const Graph *G;

     /// Pointer to the length map

     const LengthMap *length;

     ///Pointer to the map of predecessors edges.

     PredMap *predecessor;

     ///Pointer to the map of predecessors nodes.

     PredNodeMap *pred_node;

     ///Pointer to the map of distances.

     DistMap *distance;

     Node source;

 public:

     _Dijkstra() : G(0), length(0), predecessor(0), pred_node(0),

 		  distance(0), source(INVALID) {}

     _Dijkstra(const Graph &g,const LengthMap &l, Node s) :

       G(&g), length(&l), predecessor(0), pred_node(0),

 		  distance(0), source(s) {}

     ~_Dijkstra() 

     {

       Dijkstra<Graph,LengthMap,TR> Dij(*G,*length);

       if(predecessor) Dij.setPredMap(*predecessor);

       if(pred_node) Dij.setPredNodeMap(*pred_node);

       if(distance) Dij.setDistMap(*distance);

       Dij.run(source);

     }

     template<class T>

     struct SetPredMapTraits : public Traits {typedef T PredMap;};

     ///\e

     template<class T>

     _Dijkstra<SetPredMapTraits<T> > setPredMap(const T &t) 

     {

       _Dijkstra<SetPredMapTraits<T> > r;

       r.G=G;

       r.length=length;

       r.predecessor=&t;

       r.pred_node=pred_node;

       r.distance=distance;

       r.source=source;

       return r;

     }

     template<class T>

     struct SetPredNodeMapTraits :public Traits {typedef T PredNodeMap;};

     ///\e

     template<class T>

     _Dijkstra<SetPredNodeMapTraits<T> > setPredNodeMap(const T &t) 

     {

       _Dijkstra<SetPredNodeMapTraits<T> > r;

       r.G=G;

       r.length=length;

       r.predecessor=predecessor;

       r.pred_node=&t;

       r.distance=distance;

       r.source=source;

       return r;

     }

     template<class T>

     struct SetDistMapTraits : public Traits {typedef T DistMap;};

     ///\e

     template<class T>

     _Dijkstra<SetDistMapTraits<T> > setDistMap(const T &t) 

     {

       _Dijkstra<SetPredMapTraits<T> > r;

       r.G=G;

       r.length=length;

       r.predecessor=predecessor;

       r.pred_node=pred_node;

       r.distance=&t;

       r.source=source;

       return r;

     }

     ///\e

     _Dijkstra<TR> &setSource(Node s) 

     {

       source=s;

       return *this;

     }

   };

   ///\e

   ///\todo Please document...

   ///

   template<class GR, class LM>

   _Dijkstra<DijkstraDefaultTraits<GR,LM> >

   dijkstra(const GR &g,const LM &l,typename GR::Node s)

   {

     return _Dijkstra<DijkstraDefaultTraits<GR,LM> >(g,l,s);

   }

 /// @}

 } //END OF NAMESPACE LEMON

 #endif