diff -r e9c203fb003d -r 994c7df296c9 lemon/full_graph.h
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/lemon/full_graph.h	Thu Dec 10 17:05:35 2009 +0100
@@ -0,0 +1,612 @@
+/* -*- mode: C++; indent-tabs-mode: nil; -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library.
+ *
+ * Copyright (C) 2003-2009
+ * 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_FULL_GRAPH_H
+#define LEMON_FULL_GRAPH_H
+
+#include <lemon/core.h>
+#include <lemon/bits/graph_extender.h>
+
+///\ingroup graphs
+///\file
+///\brief FullGraph and FullDigraph classes.
+
+namespace lemon {
+
+  class FullDigraphBase {
+  public:
+
+    typedef FullDigraphBase Digraph;
+
+    class Node;
+    class Arc;
+
+  protected:
+
+    int _node_num;
+    int _arc_num;
+
+    FullDigraphBase() {}
+
+    void construct(int n) { _node_num = n; _arc_num = n * n; }
+
+  public:
+
+    typedef True NodeNumTag;
+    typedef True ArcNumTag;
+
+    Node operator()(int ix) const { return Node(ix); }
+    int index(const Node& node) const { return node._id; }
+
+    Arc arc(const Node& s, const Node& t) const {
+      return Arc(s._id * _node_num + t._id);
+    }
+
+    int nodeNum() const { return _node_num; }
+    int arcNum() const { return _arc_num; }
+
+    int maxNodeId() const { return _node_num - 1; }
+    int maxArcId() const { return _arc_num - 1; }
+
+    Node source(Arc arc) const { return arc._id / _node_num; }
+    Node target(Arc arc) const { return arc._id % _node_num; }
+
+    static int id(Node node) { return node._id; }
+    static int id(Arc arc) { return arc._id; }
+
+    static Node nodeFromId(int id) { return Node(id);}
+    static Arc arcFromId(int id) { return Arc(id);}
+
+    typedef True FindArcTag;
+
+    Arc findArc(Node s, Node t, Arc prev = INVALID) const {
+      return prev == INVALID ? arc(s, t) : INVALID;
+    }
+
+    class Node {
+      friend class FullDigraphBase;
+
+    protected:
+      int _id;
+      Node(int id) : _id(id) {}
+    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 Arc {
+      friend class FullDigraphBase;
+
+    protected:
+      int _id;  // _node_num * source + target;
+
+      Arc(int id) : _id(id) {}
+
+    public:
+      Arc() { }
+      Arc (Invalid) { _id = -1; }
+      bool operator==(const Arc arc) const {return _id == arc._id;}
+      bool operator!=(const Arc arc) const {return _id != arc._id;}
+      bool operator<(const Arc arc) const {return _id < arc._id;}
+    };
+
+    void first(Node& node) const {
+      node._id = _node_num - 1;
+    }
+
+    static void next(Node& node) {
+      --node._id;
+    }
+
+    void first(Arc& arc) const {
+      arc._id = _arc_num - 1;
+    }
+
+    static void next(Arc& arc) {
+      --arc._id;
+    }
+
+    void firstOut(Arc& arc, const Node& node) const {
+      arc._id = (node._id + 1) * _node_num - 1;
+    }
+
+    void nextOut(Arc& arc) const {
+      if (arc._id % _node_num == 0) arc._id = 0;
+      --arc._id;
+    }
+
+    void firstIn(Arc& arc, const Node& node) const {
+      arc._id = _arc_num + node._id - _node_num;
+    }
+
+    void nextIn(Arc& arc) const {
+      arc._id -= _node_num;
+      if (arc._id < 0) arc._id = -1;
+    }
+
+  };
+
+  typedef DigraphExtender<FullDigraphBase> ExtendedFullDigraphBase;
+
+  /// \ingroup graphs
+  ///
+  /// \brief A full digraph class.
+  ///
+  /// This is a simple and fast directed full graph implementation.
+  /// From each node go arcs to each node (including the source node),
+  /// therefore the number of the arcs in the digraph is the square of
+  /// the node number. This digraph type is completely static, so you
+  /// can neither add nor delete either arcs or nodes, and it needs
+  /// constant space in memory.
+  ///
+  /// This class fully conforms to the \ref concepts::Digraph
+  /// "Digraph concept".
+  ///
+  /// The \c FullDigraph and \c FullGraph classes are very similar,
+  /// but there are two differences. While this class conforms only
+  /// to the \ref concepts::Digraph "Digraph" concept, the \c FullGraph
+  /// class conforms to the \ref concepts::Graph "Graph" concept,
+  /// moreover \c FullGraph does not contain a loop arc for each
+  /// node as \c FullDigraph does.
+  ///
+  /// \sa FullGraph
+  class FullDigraph : public ExtendedFullDigraphBase {
+    typedef ExtendedFullDigraphBase Parent;
+
+  public:
+
+    /// \brief Constructor
+    FullDigraph() { construct(0); }
+
+    /// \brief Constructor
+    ///
+    /// Constructor.
+    /// \param n The number of the nodes.
+    FullDigraph(int n) { construct(n); }
+
+    /// \brief Resizes the digraph
+    ///
+    /// Resizes the digraph. The function will fully destroy and
+    /// rebuild the digraph. This cause that the maps of the digraph will
+    /// reallocated automatically and the previous values will be lost.
+    void resize(int n) {
+      Parent::notifier(Arc()).clear();
+      Parent::notifier(Node()).clear();
+      construct(n);
+      Parent::notifier(Node()).build();
+      Parent::notifier(Arc()).build();
+    }
+
+    /// \brief Returns the node with the given index.
+    ///
+    /// Returns the node with the given index. Since it is a static
+    /// digraph its nodes can be indexed with integers from the range
+    /// <tt>[0..nodeNum()-1]</tt>.
+    /// \sa index()
+    Node operator()(int ix) const { return Parent::operator()(ix); }
+
+    /// \brief Returns the index of the given node.
+    ///
+    /// Returns the index of the given node. Since it is a static
+    /// digraph its nodes can be indexed with integers from the range
+    /// <tt>[0..nodeNum()-1]</tt>.
+    /// \sa operator()
+    int index(const Node& node) const { return Parent::index(node); }
+
+    /// \brief Returns the arc connecting the given nodes.
+    ///
+    /// Returns the arc connecting the given nodes.
+    Arc arc(const Node& u, const Node& v) const {
+      return Parent::arc(u, v);
+    }
+
+    /// \brief Number of nodes.
+    int nodeNum() const { return Parent::nodeNum(); }
+    /// \brief Number of arcs.
+    int arcNum() const { return Parent::arcNum(); }
+  };
+
+
+  class FullGraphBase {
+  public:
+
+    typedef FullGraphBase Graph;
+
+    class Node;
+    class Arc;
+    class Edge;
+
+  protected:
+
+    int _node_num;
+    int _edge_num;
+
+    FullGraphBase() {}
+
+    void construct(int n) { _node_num = n; _edge_num = n * (n - 1) / 2; }
+
+    int _uid(int e) const {
+      int u = e / _node_num;
+      int v = e % _node_num;
+      return u < v ? u : _node_num - 2 - u;
+    }
+
+    int _vid(int e) const {
+      int u = e / _node_num;
+      int v = e % _node_num;
+      return u < v ? v : _node_num - 1 - v;
+    }
+
+    void _uvid(int e, int& u, int& v) const {
+      u = e / _node_num;
+      v = e % _node_num;
+      if  (u >= v) {
+        u = _node_num - 2 - u;
+        v = _node_num - 1 - v;
+      }
+    }
+
+    void _stid(int a, int& s, int& t) const {
+      if ((a & 1) == 1) {
+        _uvid(a >> 1, s, t);
+      } else {
+        _uvid(a >> 1, t, s);
+      }
+    }
+
+    int _eid(int u, int v) const {
+      if (u < (_node_num - 1) / 2) {
+        return u * _node_num + v;
+      } else {
+        return (_node_num - 1 - u) * _node_num - v - 1;
+      }
+    }
+
+  public:
+
+    Node operator()(int ix) const { return Node(ix); }
+    int index(const Node& node) const { return node._id; }
+
+    Edge edge(const Node& u, const Node& v) const {
+      if (u._id < v._id) {
+        return Edge(_eid(u._id, v._id));
+      } else if (u._id != v._id) {
+        return Edge(_eid(v._id, u._id));
+      } else {
+        return INVALID;
+      }
+    }
+
+    Arc arc(const Node& s, const Node& t) const {
+      if (s._id < t._id) {
+        return Arc((_eid(s._id, t._id) << 1) | 1);
+      } else if (s._id != t._id) {
+        return Arc(_eid(t._id, s._id) << 1);
+      } else {
+        return INVALID;
+      }
+    }
+
+    typedef True NodeNumTag;
+    typedef True ArcNumTag;
+    typedef True EdgeNumTag;
+
+    int nodeNum() const { return _node_num; }
+    int arcNum() const { return 2 * _edge_num; }
+    int edgeNum() const { return _edge_num; }
+
+    static int id(Node node) { return node._id; }
+    static int id(Arc arc) { return arc._id; }
+    static int id(Edge edge) { return edge._id; }
+
+    int maxNodeId() const { return _node_num-1; }
+    int maxArcId() const { return 2 * _edge_num-1; }
+    int maxEdgeId() const { return _edge_num-1; }
+
+    static Node nodeFromId(int id) { return Node(id);}
+    static Arc arcFromId(int id) { return Arc(id);}
+    static Edge edgeFromId(int id) { return Edge(id);}
+
+    Node u(Edge edge) const {
+      return Node(_uid(edge._id));
+    }
+
+    Node v(Edge edge) const {
+      return Node(_vid(edge._id));
+    }
+
+    Node source(Arc arc) const {
+      return Node((arc._id & 1) == 1 ?
+                  _uid(arc._id >> 1) : _vid(arc._id >> 1));
+    }
+
+    Node target(Arc arc) const {
+      return Node((arc._id & 1) == 1 ?
+                  _vid(arc._id >> 1) : _uid(arc._id >> 1));
+    }
+
+    typedef True FindEdgeTag;
+    typedef True FindArcTag;
+
+    Edge findEdge(Node u, Node v, Edge prev = INVALID) const {
+      return prev != INVALID ? INVALID : edge(u, v);
+    }
+
+    Arc findArc(Node s, Node t, Arc prev = INVALID) const {
+      return prev != INVALID ? INVALID : arc(s, t);
+    }
+
+    class Node {
+      friend class FullGraphBase;
+
+    protected:
+      int _id;
+      Node(int id) : _id(id) {}
+    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 FullGraphBase;
+      friend class Arc;
+
+    protected:
+      int _id;
+
+      Edge(int id) : _id(id) {}
+
+    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;}
+    };
+
+    class Arc {
+      friend class FullGraphBase;
+
+    protected:
+      int _id;
+
+      Arc(int id) : _id(id) {}
+
+    public:
+      Arc() { }
+      Arc (Invalid) { _id = -1; }
+
+      operator Edge() const { return Edge(_id != -1 ? (_id >> 1) : -1); }
+
+      bool operator==(const Arc arc) const {return _id == arc._id;}
+      bool operator!=(const Arc arc) const {return _id != arc._id;}
+      bool operator<(const Arc arc) const {return _id < arc._id;}
+    };
+
+    static bool direction(Arc arc) {
+      return (arc._id & 1) == 1;
+    }
+
+    static Arc direct(Edge edge, bool dir) {
+      return Arc((edge._id << 1) | (dir ? 1 : 0));
+    }
+
+    void first(Node& node) const {
+      node._id = _node_num - 1;
+    }
+
+    static void next(Node& node) {
+      --node._id;
+    }
+
+    void first(Arc& arc) const {
+      arc._id = (_edge_num << 1) - 1;
+    }
+
+    static void next(Arc& arc) {
+      --arc._id;
+    }
+
+    void first(Edge& edge) const {
+      edge._id = _edge_num - 1;
+    }
+
+    static void next(Edge& edge) {
+      --edge._id;
+    }
+
+    void firstOut(Arc& arc, const Node& node) const {
+      int s = node._id, t = _node_num - 1;
+      if (s < t) {
+        arc._id = (_eid(s, t) << 1) | 1;
+      } else {
+        --t;
+        arc._id = (t != -1 ? (_eid(t, s) << 1) : -1);
+      }
+    }
+
+    void nextOut(Arc& arc) const {
+      int s, t;
+      _stid(arc._id, s, t);
+      --t;
+      if (s < t) {
+        arc._id = (_eid(s, t) << 1) | 1;
+      } else {
+        if (s == t) --t;
+        arc._id = (t != -1 ? (_eid(t, s) << 1) : -1);
+      }
+    }
+
+    void firstIn(Arc& arc, const Node& node) const {
+      int s = _node_num - 1, t = node._id;
+      if (s > t) {
+        arc._id = (_eid(t, s) << 1);
+      } else {
+        --s;
+        arc._id = (s != -1 ? (_eid(s, t) << 1) | 1 : -1);
+      }
+    }
+
+    void nextIn(Arc& arc) const {
+      int s, t;
+      _stid(arc._id, s, t);
+      --s;
+      if (s > t) {
+        arc._id = (_eid(t, s) << 1);
+      } else {
+        if (s == t) --s;
+        arc._id = (s != -1 ? (_eid(s, t) << 1) | 1 : -1);
+      }
+    }
+
+    void firstInc(Edge& edge, bool& dir, const Node& node) const {
+      int u = node._id, v = _node_num - 1;
+      if (u < v) {
+        edge._id = _eid(u, v);
+        dir = true;
+      } else {
+        --v;
+        edge._id = (v != -1 ? _eid(v, u) : -1);
+        dir = false;
+      }
+    }
+
+    void nextInc(Edge& edge, bool& dir) const {
+      int u, v;
+      if (dir) {
+        _uvid(edge._id, u, v);
+        --v;
+        if (u < v) {
+          edge._id = _eid(u, v);
+        } else {
+          --v;
+          edge._id = (v != -1 ? _eid(v, u) : -1);
+          dir = false;
+        }
+      } else {
+        _uvid(edge._id, v, u);
+        --v;
+        edge._id = (v != -1 ? _eid(v, u) : -1);
+      }
+    }
+
+  };
+
+  typedef GraphExtender<FullGraphBase> ExtendedFullGraphBase;
+
+  /// \ingroup graphs
+  ///
+  /// \brief An undirected full graph class.
+  ///
+  /// This is a simple and fast undirected full graph
+  /// implementation. From each node go edge to each other node,
+  /// therefore the number of edges in the graph is \f$n(n-1)/2\f$.
+  /// This graph type is completely static, so you can neither
+  /// add nor delete either edges or nodes, and it needs constant
+  /// space in memory.
+  ///
+  /// This class fully conforms to the \ref concepts::Graph "Graph concept".
+  ///
+  /// The \c FullGraph and \c FullDigraph classes are very similar,
+  /// but there are two differences. While the \c FullDigraph class
+  /// conforms only to the \ref concepts::Digraph "Digraph" concept,
+  /// this class conforms to the \ref concepts::Graph "Graph" concept,
+  /// moreover \c FullGraph does not contain a loop arc for each
+  /// node as \c FullDigraph does.
+  ///
+  /// \sa FullDigraph
+  class FullGraph : public ExtendedFullGraphBase {
+    typedef ExtendedFullGraphBase Parent;
+
+  public:
+
+    /// \brief Constructor
+    FullGraph() { construct(0); }
+
+    /// \brief Constructor
+    ///
+    /// Constructor.
+    /// \param n The number of the nodes.
+    FullGraph(int n) { construct(n); }
+
+    /// \brief Resizes the graph
+    ///
+    /// Resizes the graph. The function will fully destroy and
+    /// rebuild the graph. This cause that the maps of the graph will
+    /// reallocated automatically and the previous values will be lost.
+    void resize(int n) {
+      Parent::notifier(Arc()).clear();
+      Parent::notifier(Edge()).clear();
+      Parent::notifier(Node()).clear();
+      construct(n);
+      Parent::notifier(Node()).build();
+      Parent::notifier(Edge()).build();
+      Parent::notifier(Arc()).build();
+    }
+
+    /// \brief Returns the node with the given index.
+    ///
+    /// Returns the node with the given index. Since it is a static
+    /// graph its nodes can be indexed with integers from the range
+    /// <tt>[0..nodeNum()-1]</tt>.
+    /// \sa index()
+    Node operator()(int ix) const { return Parent::operator()(ix); }
+
+    /// \brief Returns the index of the given node.
+    ///
+    /// Returns the index of the given node. Since it is a static
+    /// graph its nodes can be indexed with integers from the range
+    /// <tt>[0..nodeNum()-1]</tt>.
+    /// \sa operator()
+    int index(const Node& node) const { return Parent::index(node); }
+
+    /// \brief Returns the arc connecting the given nodes.
+    ///
+    /// Returns the arc connecting the given nodes.
+    Arc arc(const Node& s, const Node& t) const {
+      return Parent::arc(s, t);
+    }
+
+    /// \brief Returns the edge connects the given nodes.
+    ///
+    /// Returns the edge connects the given nodes.
+    Edge edge(const Node& u, const Node& v) const {
+      return Parent::edge(u, v);
+    }
+
+    /// \brief Number of nodes.
+    int nodeNum() const { return Parent::nodeNum(); }
+    /// \brief Number of arcs.
+    int arcNum() const { return Parent::arcNum(); }
+    /// \brief Number of edges.
+    int edgeNum() const { return Parent::edgeNum(); }
+
+  };
+
+
+} //namespace lemon
+
+
+#endif //LEMON_FULL_GRAPH_H