// -*- C++ -*-
#ifndef LEMON_DIJKSTRA_H
#define LEMON_DIJKSTRA_H

///\ingroup galgs
///\file
///\brief Dijkstra algorithm.

#include <lemon/bin_heap.h>
#include <lemon/invalid.h>

namespace lemon {

/// \addtogroup galgs
/// @{

  ///%Dijkstra algorithm class.

  ///This class provides an efficient implementation of %Dijkstra algorithm.
  ///The edge lengths are passed to the algorithm using a
  ///\ref ReadMap "readable map",
  ///so it is easy to change it to any kind of length.
  ///
  ///The type of the length is determined by the \c Value of the length map.
  ///
  ///It is also possible to change the underlying priority heap.
  ///
  ///\param GR The graph type the algorithm runs on.
  ///\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 Graph::EdgeMap "Graph::EdgeMap<int>"
  ///\param Heap The heap type used by the %Dijkstra
  ///algorithm. The default
  ///is using \ref BinHeap "binary heap".
  ///
  ///\author Jacint Szabo and Alpar Juttner
  ///\todo We need a typedef-names should be standardized. (-:

#ifdef DOXYGEN
  template <typename GR,
	    typename LM,
	    typename Heap>
#else
  template <typename GR,
	    typename LM=typename GR::template EdgeMap<int>,
	    template <class,class,class,class> class Heap = BinHeap >
#endif
  class Dijkstra{
  public:
    ///The type of the underlying graph.
    typedef GR Graph;
    typedef typename Graph::Node Node;
    typedef typename Graph::NodeIt NodeIt;
    typedef typename Graph::Edge Edge;
    typedef typename Graph::OutEdgeIt OutEdgeIt;
    
    ///The type of the length of the edges.
    typedef typename LM::Value Value;
    ///The type of the map that stores the edge lengths.
    typedef LM LengthMap;
    ///\brief The type of the map that stores the last
    ///edges of the shortest paths.
    typedef typename Graph::template NodeMap<Edge> PredMap;
    ///\brief The type of the map that stores the last but one
    ///nodes of the shortest paths.
    typedef typename Graph::template NodeMap<Node> PredNodeMap;
    ///The type of the map that stores the dists of the nodes.
    typedef typename Graph::template NodeMap<Value> DistMap;

  private:
    const Graph *G;
    const LM *length;
    //    bool local_length;
    PredMap *predecessor;
    bool local_predecessor;
    PredNodeMap *pred_node;
    bool local_pred_node;
    DistMap *distance;
    bool local_distance;

    ///Initialize 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(!length) {
// 	local_length = true;
// 	length = new LM(G);
//       }
      if(!predecessor) {
	local_predecessor = true;
	predecessor = new PredMap(*G);
      }
      if(!pred_node) {
	local_pred_node = true;
	pred_node = new PredNodeMap(*G);
      }
      if(!distance) {
	local_distance = true;
	distance = new DistMap(*G);
      }
    }
    
  public :
    
    Dijkstra(const Graph& _G, const LM& _length) :
      G(&_G), length(&_length),
      predecessor(NULL), pred_node(NULL), distance(NULL),
      local_predecessor(false), local_pred_node(false), local_distance(false)
    { }
    
    ~Dijkstra() 
    {
      //      if(local_length) delete length;
      if(local_predecessor) delete predecessor;
      if(local_pred_node) delete pred_node;
      if(local_distance) delete distance;
    }

    ///Sets the graph the algorithm will run on.

    ///Sets the graph the algorithm will run on.
    ///\return <tt> (*this) </tt>
    Dijkstra &setGraph(const Graph &_G) 
    {
      G = &_G;
      return *this;
    }
    ///Sets the length map.

    ///Sets the length map.
    ///\return <tt> (*this) </tt>
    Dijkstra &setLengthMap(const LM &m) 
    {
//       if(local_length) {
// 	delete length;
// 	local_length=false;
//       }
      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.
    
    void run(Node s) {
      
      init_maps();
      
      for ( NodeIt u(*G) ; G->valid(u) ; G->next(u) ) {
	predecessor->set(u,INVALID);
	pred_node->set(u,INVALID);
      }
      
      typename GR::template NodeMap<int> heap_map(*G,-1);
      
      typedef Heap<Node, Value, typename GR::template NodeMap<int>,
      std::less<Value> > 
      HeapType;
      
      HeapType heap(heap_map);
      
      heap.push(s,0); 
      
      while ( !heap.empty() ) {
	
	Node v=heap.top(); 
	Value oldvalue=heap[v];
	heap.pop();
	distance->set(v, oldvalue);
	
	
	for(OutEdgeIt e(*G,v); G->valid(e); G->next(e)) {
	  Node w=G->bNode(e); 
	  
	  switch(heap.state(w)) {
	  case HeapType::PRE_HEAP:
	    heap.push(w,oldvalue+(*length)[e]); 
	    predecessor->set(w,e);
	    pred_node->set(w,v);
	    break;
	  case HeapType::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 HeapType::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.
    Value 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 from 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.
    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.
    ///\warning the root node is reported to be unreached!
    ///\todo Is this what we want?
    ///\pre \ref run() must be called before using this function.
    ///
    bool reached(Node v) { return G->valid((*predecessor)[v]); }
    
  };
  

  // **********************************************************************
  //  IMPLEMENTATIONS
  // **********************************************************************

/// @}
  
} //END OF NAMESPACE LEMON

#endif