/* -*- C++ -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library

 *

 * Copyright (C) 2003-2006

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, 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_LIST_GRAPH_H

#define LEMON_LIST_GRAPH_H

///\ingroup graphs

///\file

///\brief ListGraph, ListUGraph classes.

#include <lemon/bits/erasable_graph_extender.h>

#include <lemon/bits/clearable_graph_extender.h>

#include <lemon/bits/extendable_graph_extender.h>

#include <lemon/bits/iterable_graph_extender.h>

#include <lemon/bits/alteration_notifier.h>

#include <lemon/bits/default_map.h>

#include <lemon/bits/graph_extender.h>

#include <lemon/error.h>

#include <list>

namespace lemon {

  class ListGraphBase {

  protected:

    struct NodeT {

      int first_in, first_out;

      int prev, next;

    };

    struct EdgeT {

      int target, source;

      int prev_in, prev_out;

      int next_in, next_out;

    };

    std::vector<NodeT> nodes;

    int first_node;

    int first_free_node;

    std::vector<EdgeT> edges;

    int first_free_edge;

  public:

    typedef ListGraphBase Graph;

    class Node {

      friend class ListGraphBase;

    protected:

      int id;

      Node(int pid) { id = pid;}

    public:

      Node() {}

      Node (Invalid) { id = -1; }

      bool operator==(const Node& node) const {return id == node.id;}

      bool operator!=(const Node& node) const {return id != node.id;}

      bool operator<(const Node& node) const {return id < node.id;}

    };

    class Edge {

      friend class ListGraphBase;

    protected:

      int id;

      Edge(int pid) { id = pid;}

    public:

      Edge() {}

      Edge (Invalid) { id = -1; }

      bool operator==(const Edge& edge) const {return id == edge.id;}

      bool operator!=(const Edge& edge) const {return id != edge.id;}

      bool operator<(const Edge& edge) const {return id < edge.id;}

    };

    ListGraphBase()

      : nodes(), first_node(-1),

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

    /// Maximum node ID.

    /// Maximum node ID.

    ///\sa id(Node)

    int maxNodeId() const { return nodes.size()-1; } 

    /// Maximum edge ID.

    /// Maximum edge ID.

    ///\sa id(Edge)

    int maxEdgeId() const { return edges.size()-1; }

    Node source(Edge e) const { return edges[e.id].source; }

    Node target(Edge e) const { return edges[e.id].target; }

    void first(Node& node) const { 

      node.id = first_node;

    }

    void next(Node& node) const {

      node.id = nodes[node.id].next;

    }

    void first(Edge& e) const { 

      int n;

      for(n = first_node; 

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

	  n = nodes[n].next);

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

    }

    void next(Edge& edge) const {

      if (edges[edge.id].next_in != -1) {

	edge.id = edges[edge.id].next_in;

      } else {

	int n;

	for(n = nodes[edges[edge.id].target].next;

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

	  n = nodes[n].next);

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

      }      

    }

    void firstOut(Edge &e, const Node& v) const {

      e.id = nodes[v.id].first_out;

    }

    void nextOut(Edge &e) const {

      e.id=edges[e.id].next_out;

    }

    void firstIn(Edge &e, const Node& v) const {

      e.id = nodes[v.id].first_in;

    }

    void nextIn(Edge &e) const {

      e.id=edges[e.id].next_in;

    }

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

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

    static Node nodeFromId(int id) { return Node(id);}

    static Edge edgeFromId(int id) { return Edge(id);}

    /// Adds a new node to the graph.

    /// \warning It adds the new node to the front of the list.

    /// (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;

      return Node(n);

    }

    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].source = u.id; 

      edges[n].target = v.id;

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

      if(nodes[u.id].first_out != -1) {

	edges[nodes[u.id].first_out].prev_out = n;

      }

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

      if(nodes[v.id].first_in != -1) {

	edges[nodes[v.id].first_in].prev_in = n;

      }

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

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

      return Edge(n);

    }

    void erase(const Node& node) {

      int n = node.id;

      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;

    }

    void erase(const Edge& edge) {

      int n = edge.id;

      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].target].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].source].first_out = edges[n].next_out;

      }

      edges[n].next_in = first_free_edge;

      first_free_edge = n;      

    }

    void clear() {

      edges.clear();

      nodes.clear();

      first_node = first_free_node = first_free_edge = -1;

    }

  protected:

    void _changeTarget(Edge e, Node n) 

    {

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

	edges[edges[e.id].next_in].prev_in = edges[e.id].prev_in;

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

	edges[edges[e.id].prev_in].next_in = edges[e.id].next_in;

      else nodes[edges[e.id].target].first_in = edges[e.id].next_in;

      if (nodes[n.id].first_in != -1) {

	edges[nodes[n.id].first_in].prev_in = e.id;

      }

      edges[e.id].target = n.id;

      edges[e.id].prev_in = -1;

      edges[e.id].next_in = nodes[n.id].first_in;

      nodes[n.id].first_in = e.id;

    }

    void _changeSource(Edge e, Node n) 

    {

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

	edges[edges[e.id].next_out].prev_out = edges[e.id].prev_out;

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

	edges[edges[e.id].prev_out].next_out = edges[e.id].next_out;

      else nodes[edges[e.id].source].first_out = edges[e.id].next_out;

      if (nodes[n.id].first_out != -1) {

	edges[nodes[n.id].first_out].prev_out = e.id;

      }

      edges[e.id].source = n.id;

      edges[e.id].prev_out = -1;

      edges[e.id].next_out = nodes[n.id].first_out;

      nodes[n.id].first_out = e.id;

    }

  };

  typedef ErasableGraphExtender<

    ClearableGraphExtender<

    ExtendableGraphExtender<

    MappableGraphExtender<

    IterableGraphExtender<

    AlterableGraphExtender<

    GraphExtender<ListGraphBase> > > > > > > ExtendedListGraphBase;

  /// \addtogroup graphs

  /// @{

  ///A list graph class.

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

  ///

  ///It addition that it conforms to the

  ///\ref concept::ErasableGraph "ErasableGraph" concept,

  ///it also provides several additional useful extra functionalities.

  ///\sa concept::ErasableGraph.

  class ListGraph : public ExtendedListGraphBase 

  {

  public:

    /// Changes the target of \c e to \c n

    /// Changes the target of \c e to \c n

    ///

    ///\note The <tt>Edge</tt>'s and <tt>OutEdge</tt>'s

    ///referencing the changed edge remain

    ///valid. However <tt>InEdge</tt>'s are invalidated.

    void changeTarget(Edge e, Node n) { 

      _changeTarget(e,n); 

    }

    /// Changes the source of \c e to \c n

    /// Changes the source of \c e to \c n

    ///

    ///\note The <tt>Edge</tt>'s and <tt>InEdge</tt>'s

    ///referencing the changed edge remain

    ///valid. However <tt>OutEdge</tt>'s are invalidated.

    void changeSource(Edge e, Node n) { 

      _changeSource(e,n);

    }

    /// Invert the direction of an edge.

    ///\note The <tt>Edge</tt>'s

    ///referencing the changed edge remain

    ///valid. However <tt>OutEdge</tt>'s  and <tt>InEdge</tt>'s are invalidated.

    void reverseEdge(Edge e) {

      Node t=target(e);

      _changeTarget(e,source(e));

      _changeSource(e,t);

    }

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

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

    ///\todo more docs...

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

    ///Contract two nodes.

    ///This function contracts two nodes.

    ///

    ///Node \p b will be removed but instead of deleting

    ///its neighboring edges, they will be joined to \p a.

    ///The last parameter \p r controls whether to remove loops. \c true

    ///means that loops will be removed.

    ///

    ///\note The <tt>Edge</tt>s

    ///referencing a moved edge remain

    ///valid. However <tt>InEdge</tt>'s and <tt>OutEdge</tt>'s

    ///may be invalidated.

    void contract(Node a, Node b, bool r = true) 

    {

      for(OutEdgeIt e(*this,b);e!=INVALID;) {

	OutEdgeIt f=e;

	++f;

	if(r && target(e)==a) erase(e);

	else changeSource(e,a);

	e=f;

      }

      for(InEdgeIt e(*this,b);e!=INVALID;) {

	InEdgeIt f=e;

	++f;

	if(r && source(e)==a) erase(e);

	else changeTarget(e,a);

	e=f;

      }

      erase(b);

    }

    ///Split a node.

    ///This function splits a node. First a new node is added to the graph,

    ///then the source of each outgoing edge of \c n is moved to this new node.

    ///If \c connect is \c true (this is the default value), then a new edge

    ///from \c n to the newly created node is also added.

    ///\return The newly created node.

    ///

    ///\note The <tt>Edge</tt>s

    ///referencing a moved edge remain

    ///valid. However <tt>InEdge</tt>'s and <tt>OutEdge</tt>'s

    ///may be invalidated.

    ///\warning This functionality cannot be used together with the Snapshot

    ///feature.

    ///\todo It could be implemented in a bit faster way.

    Node split(Node n, bool connect = true) 

    {

      Node b = addNode();

      for(OutEdgeIt e(*this,n);e!=INVALID;) {

 	OutEdgeIt f=e;

	++f;

	changeSource(e,b);

	e=f;

      }

      if(connect) addEdge(n,b);

      return b;

    }

    ///Split an edge.

    ///This function splits an edge. First a new node \c b is added to the graph,

    ///then the original edge is re-targetes to \c b. Finally an edge

    ///from \c b to the original target is added.

    ///\return The newly created node.

    ///\warning This functionality cannot be used together with the Snapshot

    ///feature.

    Node split(Edge e) 

    {

      Node b = addNode();

      addEdge(b,target(e));

      changeTarget(e,b);

      return b;

    }

    ///Class to make a snapshot of the graph and to restrore to it later.

    ///Class to make a snapshot of the graph and to restrore to it later.

    ///

    ///The newly added nodes and edges can be removed using the

    ///restore() function.

    ///

    ///\warning Edge and node deletions cannot be restored.

    ///\warning Snapshots cannot be nested.

    class Snapshot : protected AlterationNotifier<Node>::ObserverBase,

		     protected AlterationNotifier<Edge>::ObserverBase

    {

    public:

      class UnsupportedOperation : public LogicError {

      public:

	virtual const char* exceptionName() const {

	  return "lemon::ListGraph::Snapshot::UnsupportedOperation";

	}

      };

      protected:

      ListGraph *g;

      std::list<Node> added_nodes;

      std::list<Edge> added_edges;

      bool active;

      virtual void add(const Node& n) {

	added_nodes.push_back(n);

      };

      virtual void erase(const Node&) 

      {

	throw UnsupportedOperation();

      }

      virtual void add(const Edge& n) {

	added_edges.push_back(n);

      };

      virtual void erase(const Edge&) 

      {

	throw UnsupportedOperation();

      }

      ///\bug What is this used for?

      ///

      virtual void build() {}

      ///\bug What is this used for?

      ///

      virtual void clear() {}

      void regist(ListGraph &_g) {

	g=&_g;

	AlterationNotifier<Node>::ObserverBase::

	  attach(g->getNotifier(Node()));

	AlterationNotifier<Edge>::ObserverBase::

	  attach(g->getNotifier(Edge()));

      }

      void deregist() {

	AlterationNotifier<Node>::ObserverBase::

	  detach();

	AlterationNotifier<Edge>::ObserverBase::

	  detach();

	g=0;

      }

    public:

      ///Default constructur.

      ///Default constructur.

      ///To actually make a snapshot you must call save().

      ///

      Snapshot() : g(0) {}

      ///Constructor that immediately makes a snapshot.

      ///This constructor immediately makes a snapshot of the graph.

      ///\param _g The graph we make a snapshot of.

      Snapshot(ListGraph &_g) {

	regist(_g);

      }

      ///\bug Is it necessary?

      ///

      ~Snapshot() 

      {

	if(g) deregist();

      }

      ///Make a snapshot.

      ///Make a snapshot of the graph.

      ///

      ///This function can be called more than once. In case of a repeated

      ///call, the previous snapshot gets lost.

      ///\param _g The graph we make the snapshot of.

      void save(ListGraph &_g) 

      {

	if(g!=&_g) {

	  if(g) deregist();

	  regist(_g);

	}

	added_nodes.clear();

	added_edges.clear();

      }

    ///Undo the changes until the last snapshot.

    ///Undo the changes until last snapshot created by save().

    ///

    ///\todo This function might be called undo().

      void restore() {

	ListGraph &old_g=*g;

	deregist();

	while(!added_edges.empty()) {

	  old_g.erase(added_edges.front());

	  added_edges.pop_front();

	}

 	while(!added_nodes.empty()) {

	  old_g.erase(added_nodes.front());

	  added_nodes.pop_front();

	}

      }

    };

  };

  ///@}

  /**************** Undirected List Graph ****************/

  typedef ErasableUGraphExtender<

    ClearableUGraphExtender<

    ExtendableUGraphExtender<

    MappableUGraphExtender<

    IterableUGraphExtender<

    AlterableUGraphExtender<

    UGraphExtender<ListGraphBase> > > > > > > ExtendedListUGraphBase;

  /// \addtogroup graphs

  /// @{

  ///An undirected list graph class.

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

  ///

  ///It conforms to the

  ///\ref concept::UGraph "UGraph" concept.

  ///

  ///\sa concept::UGraph.

  ///

  ///\todo Snapshot, reverseEdge(), changeTarget(), changeSource(), contract()

  ///haven't been implemented yet.

  ///

  class ListUGraph : public ExtendedListUGraphBase {

  public:

    typedef ExtendedListUGraphBase Parent;

    /// \brief Changes the target of \c e to \c n

    ///

    /// Changes the target of \c e to \c n

    ///

    /// \note The <tt>Edge</tt>'s and <tt>OutEdge</tt>'s

    /// referencing the changed edge remain

    /// valid. However <tt>InEdge</tt>'s are invalidated.

    void changeTarget(UEdge e, Node n) { 

      _changeTarget(e,n); 

    }

    /// Changes the source of \c e to \c n

    ///

    /// Changes the source of \c e to \c n

    ///

    ///\note The <tt>Edge</tt>'s and <tt>InEdge</tt>'s

    ///referencing the changed edge remain

    ///valid. However <tt>OutEdge</tt>'s are invalidated.

    void changeSource(UEdge e, Node n) { 

      _changeSource(e,n); 

    }

    /// \brief Contract two nodes.

    ///

    /// This function contracts two nodes.

    ///

    /// Node \p b will be removed but instead of deleting

    /// its neighboring edges, they will be joined to \p a.

    /// The last parameter \p r controls whether to remove loops. \c true

    /// means that loops will be removed.

    ///

    /// \note The <tt>Edge</tt>s

    /// referencing a moved edge remain

    /// valid.

    void contract(Node a, Node b, bool r = true) {

      for(IncEdgeIt e(*this, b); e!=INVALID;) {

	IncEdgeIt f = e; ++f;

	if (r && runningNode(e) == a) {

	  erase(e);

	} else if (source(e) == b) {

	  changeSource(e, a);

	} else {

	  changeTarget(e, a);

	}

	e = f;

      }

      erase(b);

    }

  };

  /// @}  

} //namespace lemon

#endif