// -*- c++ -*-

 #ifndef HUGO_FULL_GRAPH_H

 #define HUGO_FULL_GRAPH_H

 ///\ingroup graphs

 ///\file

 ///\brief FullGraph and SymFullGraph classes.

 #include <vector>

 #include <climits>

 #include <hugo/invalid.h>

 #include <hugo/map_registry.h>

 #include <hugo/default_map.h>

 #include <hugo/map_defines.h>

 namespace hugo {

 /// \addtogroup graphs

 /// @{

   ///A full graph class.

   ///This is a simple and fast directed full graph implementation.

   ///It is completely static, so you can neither add nor delete either

   ///edges or nodes.

   ///Thus it conforms to

   ///the \ref skeleton::StaticGraph "StaticGraph" concept

   ///\sa skeleton::StaticGraph.

   ///\todo What about loops?

   ///\todo Don't we need SymEdgeMap?

   ///

   ///\author Alpar Juttner

   class FullGraph {

     int NodeNum;

     int EdgeNum;

   public:

     typedef FullGraph Graph;

     class Node;

     class Edge;

     class NodeIt;

     class EdgeIt;

     class OutEdgeIt;

     class InEdgeIt;

     /// Creating map registries.

     CREATE_MAP_REGISTRIES;

     /// Creating node and edge maps.

     CREATE_MAPS(DefaultMap);

   public:

     ///Creates a full graph with \c n nodes.

     FullGraph(int n) : NodeNum(n), EdgeNum(NodeNum*NodeNum) { }

     ///

     FullGraph(const FullGraph &_g)

       : NodeNum(_g.nodeNum()), EdgeNum(NodeNum*NodeNum) { }

     ///Number of nodes.

     int nodeNum() const { return NodeNum; }

     ///Number of edges.

     int edgeNum() const { return EdgeNum; }

     /// Maximum node ID.

     /// Maximum node ID.

     ///\sa id(Node)

     int maxNodeId() const { return NodeNum-1; }

     /// Maximum edge ID.

     /// Maximum edge ID.

     ///\sa id(Edge)

     int maxEdgeId() const { return EdgeNum-1; }

     Node tail(Edge e) const { return e.n%NodeNum; }

     Node head(Edge e) const { return e.n/NodeNum; }

     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; }

     /// Node ID.

     /// The ID of a valid Node is a nonnegative integer not greater than

     /// \ref maxNodeId(). The range of the ID's is not surely continuous

     /// and the greatest node ID can be actually less then \ref maxNodeId().

     ///

     /// The ID of the \ref INVALID node is -1.

     ///\return The ID of the node \c v. 

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

     /// Edge ID.

     /// The ID of a valid Edge is a nonnegative integer not greater than

     /// \ref maxEdgeId(). The range of the ID's is not surely continuous

     /// and the greatest edge ID can be actually less then \ref maxEdgeId().

     ///

     /// The ID of the \ref INVALID edge is -1.

     ///\return The ID of the edge \c e. 

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

     /// Finds an edge between two nodes.

     /// Finds an edge from node \c u to node \c v.

     ///

     /// If \c prev is \ref INVALID (this is the default value), then

     /// It finds the first edge from \c u to \c v. Otherwise it looks for

     /// the next edge from \c u to \c v after \c prev.

     /// \return The found edge or INVALID if there is no such an edge.

     Edge findEdge(Node u,Node v, Edge prev = INVALID) 

     {

       return prev.n == -1 ? Edge(*this, u.n, v.n) : INVALID;

     }

     class Node {

       friend class FullGraph;

       template <typename T> friend class NodeMap;

       friend class Edge;

       friend class OutEdgeIt;

       friend class InEdgeIt;

       friend class SymEdge;

     protected:

       int n;

       friend int FullGraph::id(Node v); 

       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 {

       const FullGraph *G;

       friend class FullGraph;

     public:

       NodeIt() : Node() { }

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

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

       NodeIt(const FullGraph& _G) : Node(_G.NodeNum?0:-1), G(&_G) { }

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

       NodeIt& operator++() { n=(n+2)%(G->NodeNum+1)-1;return *this; }

     };

     class Edge {

       friend class FullGraph;

       template <typename T> friend class EdgeMap;

       friend class Node;

       friend class NodeIt;

     protected:

       int n; //NodeNum*head+tail;

       friend int FullGraph::id(Edge e);

       Edge(int nn) : n(nn) {}

       Edge(const FullGraph &G, int tail, int head) : n(G.NodeNum*head+tail) {}

     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 SymFullGraph::SymEdgeMap friend of Edge

       int &idref() {return n;}

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

     };

     class EdgeIt : public Edge {

       friend class FullGraph;

     public:

       EdgeIt(const FullGraph& _G) : Edge(_G.EdgeNum-1) { }

       EdgeIt(const FullGraph&, Edge e) : Edge(e) { }

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

       EdgeIt() : Edge() { }

       EdgeIt& operator++() { --n; return *this; }

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

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

       int &idref() {return n;}

     };

     class OutEdgeIt : public Edge {

       const FullGraph *G;

       friend class FullGraph;

     public: 

       OutEdgeIt() : Edge() { }

       OutEdgeIt(const FullGraph& _G, Edge e) : Edge(e), G(&_G) { }

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

       OutEdgeIt(const FullGraph& _G,const Node v) : Edge(v.n), G(&_G) {}

       OutEdgeIt& operator++()

       { n+=G->NodeNum; if(n>=G->EdgeNum) n=-1; return *this; }

     };

     class InEdgeIt : public Edge {

       const FullGraph *G;

       friend class FullGraph;

     public: 

       InEdgeIt() : Edge() { }

       InEdgeIt(const FullGraph& _G, Edge e) : Edge(e), G(&_G) { }

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

       InEdgeIt(const FullGraph& _G,Node v) : Edge(v.n*_G.NodeNum), G(&_G) {}

       InEdgeIt& operator++()

       { if(!((++n)%G->NodeNum)) n=-1; return *this; }

     };

   };

   /// @}  

 } //namespace hugo

 #endif //HUGO_FULL_GRAPH_H