// -*- mode:C++ -*-

 #ifndef LEMON_LIST_GRAPH_H

 #define LEMON_LIST_GRAPH_H

 ///\ingroup graphs

 ///\file

 ///\brief ListGraph, SymListGraph, NodeSet and EdgeSet classes.

 #include <vector>

 #include <climits>

 #include "invalid.h"

 #include "array_map_factory.h"

 #include "map_registry.h"

 #include "map_defines.h"

 namespace lemon {

 /// \addtogroup graphs

 /// @{

   ///A list graph class.

   ///This is a simple and fast erasable graph implementation.

   ///

   ///It conforms to the graph interface documented under

   ///the description of \ref Graph.

   ///\sa \ref Graph.

   class ListGraph {

     //Nodes are double linked.

     //The free nodes are only single linked using the "next" field.

     struct NodeT 

     {

       int first_in,first_out;

       int prev, next;

       //      NodeT() {}

     };

     //Edges are double linked.

     //The free edges are only single linked using the "next_in" field.

     struct EdgeT 

     {

       int head, tail;

       int prev_in, prev_out;

       int next_in, next_out;

       //FIXME: is this necessary?

       //      EdgeT() : next_in(-1), next_out(-1) prev_in(-1), prev_out(-1) {}  

     };

     std::vector<NodeT> nodes;

     //The first node

     int first_node;

     //The first free node

     int first_free_node;

     std::vector<EdgeT> edges;

     //The first free edge

     int first_free_edge;

   protected:

   public:

     class Node;

     class Edge;

     typedef ListGraph Graph;

   public:

     class NodeIt;

     class EdgeIt;

     class OutEdgeIt;

     class InEdgeIt;

     CREATE_MAP_REGISTRIES;

     CREATE_MAPS(ArrayMapFactory);

   public:

     ListGraph() : nodes(), first_node(-1),

 		  first_free_node(-1), edges(), first_free_edge(-1) {}

     ListGraph(const ListGraph &_g) : nodes(_g.nodes), first_node(_g.first_node),

 				     first_free_node(_g.first_free_node),

 				     edges(_g.edges),

 				     first_free_edge(_g.first_free_edge) {}

     int nodeNum() const { return nodes.size(); }  //FIXME: What is this?

     int edgeNum() const { return edges.size(); }  //FIXME: What is this?

     ///Set the expected number of edges

     ///With this function, it is possible to set the expected number of edges.

     ///The use of this fasten the building of the graph and makes

     ///it possible to avoid the superfluous memory allocation.

     void reserveEdge(int n) { edges.reserve(n); };

     ///\bug This function does something different than

     ///its name would suggests...

     int maxNodeId() const { return nodes.size(); }  //FIXME: What is this?

     ///\bug This function does something different than

     ///its name would suggests...

     int maxEdgeId() const { return edges.size(); }  //FIXME: What is this?

     Node tail(Edge e) const { return edges[e.n].tail; }

     Node head(Edge e) const { return edges[e.n].head; }

     Node aNode(OutEdgeIt e) const { return edges[e.n].tail; }

     Node aNode(InEdgeIt e) const { return edges[e.n].head; }

     Node bNode(OutEdgeIt e) const { return edges[e.n].head; }

     Node bNode(InEdgeIt e) const { return edges[e.n].tail; }

     NodeIt& first(NodeIt& v) const { 

       v=NodeIt(*this); return v; }

     EdgeIt& first(EdgeIt& e) const { 

       e=EdgeIt(*this); return e; }

     OutEdgeIt& first(OutEdgeIt& e, const Node v) const { 

       e=OutEdgeIt(*this,v); return e; }

     InEdgeIt& first(InEdgeIt& e, const Node v) const { 

       e=InEdgeIt(*this,v); return e; }

 //     template< typename It >

 //     It first() const { It e; first(e); return e; }

 //     template< typename It >

 //     It first(Node v) const { It e; first(e,v); return e; }

     bool valid(Edge e) const { return e.n!=-1; }

     bool valid(Node n) const { return n.n!=-1; }

     void setInvalid(Edge &e) { e.n=-1; }

     void setInvalid(Node &n) { n.n=-1; }

     template <typename It> It getNext(It it) const

     { It tmp(it); return next(tmp); }

     NodeIt& next(NodeIt& it) const { 

       it.n=nodes[it.n].next; 

       return it; 

     }

     OutEdgeIt& next(OutEdgeIt& it) const

     { it.n=edges[it.n].next_out; return it; }

     InEdgeIt& next(InEdgeIt& it) const

     { it.n=edges[it.n].next_in; return it; }

     EdgeIt& next(EdgeIt& it) const {

       if(edges[it.n].next_in!=-1) { 

 	it.n=edges[it.n].next_in;

       }

       else {

 	int n;

 	for(n=nodes[edges[it.n].head].next;

 	    n!=-1 && nodes[n].first_in == -1;

 	    n = nodes[n].next) ;

 	it.n = (n==-1)?-1:nodes[n].first_in;

       }

       return it;

     }

     int id(Node v) const { return v.n; }

     int id(Edge e) const { return e.n; }

     /// Adds a new node to the graph.

     /// \todo It adds the nodes in a reversed order.

     /// (i.e. the lastly added node becomes the first.)

     Node addNode() {

       int n;

       if(first_free_node==-1)

 	{

 	  n = nodes.size();

 	  nodes.push_back(NodeT());

 	}

       else {

 	n = first_free_node;

 	first_free_node = nodes[n].next;

       }

       nodes[n].next = first_node;

       if(first_node != -1) nodes[first_node].prev = n;

       first_node = n;

       nodes[n].prev = -1;

       nodes[n].first_in = nodes[n].first_out = -1;

       Node nn; nn.n=n;

       //Update dynamic maps

       node_maps.add(nn);

       return nn;

     }

     Edge addEdge(Node u, Node v) {

       int n;

       if(first_free_edge==-1)

 	{

 	  n = edges.size();

 	  edges.push_back(EdgeT());

 	}

       else {

 	n = first_free_edge;

 	first_free_edge = edges[n].next_in;

       }

       edges[n].tail = u.n; edges[n].head = v.n;

       edges[n].next_out = nodes[u.n].first_out;

       if(nodes[u.n].first_out != -1) edges[nodes[u.n].first_out].prev_out = n;

       edges[n].next_in = nodes[v.n].first_in;

       if(nodes[v.n].first_in != -1) edges[nodes[v.n].first_in].prev_in = n;

       edges[n].prev_in = edges[n].prev_out = -1;

       nodes[u.n].first_out = nodes[v.n].first_in = n;

       Edge e; e.n=n;

       //Update dynamic maps

       edge_maps.add(e);

       return e;

     }

   private:

     void eraseEdge(int n) {

       if(edges[n].next_in!=-1)

 	edges[edges[n].next_in].prev_in = edges[n].prev_in;

       if(edges[n].prev_in!=-1)

 	edges[edges[n].prev_in].next_in = edges[n].next_in;

       else nodes[edges[n].head].first_in = edges[n].next_in;

       if(edges[n].next_out!=-1)

 	edges[edges[n].next_out].prev_out = edges[n].prev_out;

       if(edges[n].prev_out!=-1)

 	edges[edges[n].prev_out].next_out = edges[n].next_out;

       else nodes[edges[n].tail].first_out = edges[n].next_out;

       edges[n].next_in = first_free_edge;

       first_free_edge = n;      

       //Update dynamic maps

       Edge e; e.n=n;

     }

   public:

     void erase(Node nn) {

       int n=nn.n;

       int m;

       while((m=nodes[n].first_in)!=-1) eraseEdge(m);

       while((m=nodes[n].first_out)!=-1) eraseEdge(m);

       if(nodes[n].next != -1) nodes[nodes[n].next].prev = nodes[n].prev;

       if(nodes[n].prev != -1) nodes[nodes[n].prev].next = nodes[n].next;

       else first_node = nodes[n].next;

       nodes[n].next = first_free_node;

       first_free_node = n;

       //Update dynamic maps

       node_maps.erase(nn);

      }

     void erase(Edge e) { 

       edge_maps.erase(e);

       eraseEdge(e.n); 

     }

     ///\bug Dynamic maps must be updated!

     ///

     void clear() {

       nodes.clear();edges.clear();

       first_node=first_free_node=first_free_edge=-1;

     }

     class Node {

       friend class ListGraph;

       template <typename T> friend class NodeMap;

       friend class Edge;

       friend class OutEdgeIt;

       friend class InEdgeIt;

       friend class SymEdge;

     protected:

       int n;

       friend int ListGraph::id(Node v) const; 

       Node(int nn) {n=nn;}

     public:

       Node() {}

       Node (Invalid) { n=-1; }

       bool operator==(const Node i) const {return n==i.n;}

       bool operator!=(const Node i) const {return n!=i.n;}

       bool operator<(const Node i) const {return n<i.n;}

     };

     class NodeIt : public Node {

       friend class ListGraph;

     public:

       NodeIt() : Node() { }

       NodeIt(Invalid i) : Node(i) { }

       NodeIt(const ListGraph& G) : Node(G.first_node) { }

       ///\todo Undocumented conversion Node -\> NodeIt.

       NodeIt(const ListGraph& G, const Node &n) : Node(n) { }

     };

     class Edge {

       friend class ListGraph;

       template <typename T> friend class EdgeMap;

       //template <typename T> friend class SymListGraph::SymEdgeMap;      

       //friend Edge SymListGraph::opposite(Edge) const;

       friend class Node;

       friend class NodeIt;

     protected:

       int n;

       friend int ListGraph::id(Edge e) const;

       Edge(int nn) {n=nn;}

     public:

       Edge() { }

       Edge (Invalid) { n=-1; }

       bool operator==(const Edge i) const {return n==i.n;}

       bool operator!=(const Edge i) const {return n!=i.n;}

       bool operator<(const Edge i) const {return n<i.n;}

       ///\bug This is a workaround until somebody tells me how to

       ///make class \c SymListGraph::SymEdgeMap friend of Edge

       int &idref() {return n;}

       const int &idref() const {return n;}

     };

     class EdgeIt : public Edge {

       friend class ListGraph;

     public:

       EdgeIt(const ListGraph& G) : Edge() {

       	int m;

 	for(m=G.first_node;

 	    m!=-1 && G.nodes[m].first_in == -1; m = G.nodes[m].next);

 	n = (m==-1)?-1:G.nodes[m].first_in;

       }

       EdgeIt (Invalid i) : Edge(i) { }

       EdgeIt() : Edge() { }

       ///\bug This is a workaround until somebody tells me how to

       ///make class \c SymListGraph::SymEdgeMap friend of Edge

       int &idref() {return n;}

     };

     class OutEdgeIt : public Edge {

       friend class ListGraph;

     public: 

       OutEdgeIt() : Edge() { }

       OutEdgeIt (Invalid i) : Edge(i) { }

       OutEdgeIt(const ListGraph& G,const Node v)

 	: Edge(G.nodes[v.n].first_out) {}

     };

     class InEdgeIt : public Edge {

       friend class ListGraph;

     public: 

       InEdgeIt() : Edge() { }

       InEdgeIt (Invalid i) : Edge(i) { }

       InEdgeIt(const ListGraph& G,Node v) :Edge(G.nodes[v.n].first_in) {}

     };

   };

   ///Graph for bidirectional edges.

   ///The purpose of this graph structure is to handle graphs

   ///having bidirectional edges. Here the function \c addEdge(u,v) adds a pair

   ///of oppositely directed edges.

   ///There is a new edge map type called

   ///\ref SymListGraph::SymEdgeMap "SymEdgeMap"

   ///that complements this

   ///feature by

   ///storing shared values for the edge pairs. The usual

   ///\ref Graph::EdgeMap "EdgeMap"

   ///can be used

   ///as well.

   ///

   ///The oppositely directed edge can also be obtained easily

   ///using \ref opposite.

   ///

   ///Here erase(Edge) deletes a pair of edges.

   ///

   ///\todo this date structure need some reconsiderations. Maybe it

   ///should be implemented independently from ListGraph.

 }

 #endif //LEMON_LIST_GRAPH_H