diff -r c6acc34f98dc -r 1a7fe3bef514 lemon/grid_graph.h
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/lemon/grid_graph.h	Thu Nov 05 15:50:01 2009 +0100
@@ -0,0 +1,697 @@
+/* -*- 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 GRID_GRAPH_H
+#define GRID_GRAPH_H
+
+#include <lemon/core.h>
+#include <lemon/bits/graph_extender.h>
+#include <lemon/dim2.h>
+#include <lemon/assert.h>
+
+///\ingroup graphs
+///\file
+///\brief GridGraph class.
+
+namespace lemon {
+
+  class GridGraphBase {
+
+  public:
+
+    typedef GridGraphBase Graph;
+
+    class Node;
+    class Edge;
+    class Arc;
+
+  public:
+
+    GridGraphBase() {}
+
+  protected:
+
+    void construct(int width, int height) {
+       _width = width; _height = height;
+      _node_num = width * height;
+      _edge_num = 2 * _node_num - width - height;
+      _edge_limit = _node_num - _width;
+    }
+
+  public:
+
+    Node operator()(int i, int j) const {
+      LEMON_DEBUG(0 <= i && i < _width &&
+                  0 <= j  && j < _height, "Index out of range");
+      return Node(i + j * _width);
+    }
+
+    int col(Node n) const {
+      return n._id % _width;
+    }
+
+    int row(Node n) const {
+      return n._id / _width;
+    }
+
+    dim2::Point<int> pos(Node n) const {
+      return dim2::Point<int>(col(n), row(n));
+    }
+
+    int width() const {
+      return _width;
+    }
+
+    int height() const {
+      return _height;
+    }
+
+    typedef True NodeNumTag;
+    typedef True EdgeNumTag;
+    typedef True ArcNumTag;
+
+    int nodeNum() const { return _node_num; }
+    int edgeNum() const { return _edge_num; }
+    int arcNum() const { return 2 * _edge_num; }
+
+    Node u(Edge edge) const {
+      if (edge._id < _edge_limit) {
+        return edge._id;
+      } else {
+        return (edge._id - _edge_limit) % (_width - 1) +
+          (edge._id - _edge_limit) / (_width - 1) * _width;
+      }
+    }
+
+    Node v(Edge edge) const {
+      if (edge._id < _edge_limit) {
+        return edge._id + _width;
+      } else {
+        return (edge._id - _edge_limit) % (_width - 1) +
+          (edge._id - _edge_limit) / (_width - 1) * _width + 1;
+      }
+    }
+
+    Node source(Arc arc) const {
+      return (arc._id & 1) == 1 ? u(arc) : v(arc);
+    }
+
+    Node target(Arc arc) const {
+      return (arc._id & 1) == 1 ? v(arc) : u(arc);
+    }
+
+    static int id(Node node) { return node._id; }
+    static int id(Edge edge) { return edge._id; }
+    static int id(Arc arc) { return arc._id; }
+
+    int maxNodeId() const { return _node_num - 1; }
+    int maxEdgeId() const { return _edge_num - 1; }
+    int maxArcId() const { return 2 * _edge_num - 1; }
+
+    static Node nodeFromId(int id) { return Node(id);}
+    static Edge edgeFromId(int id) { return Edge(id);}
+    static Arc arcFromId(int id) { return Arc(id);}
+
+    typedef True FindEdgeTag;
+    typedef True FindArcTag;
+
+    Edge findEdge(Node u, Node v, Edge prev = INVALID) const {
+      if (prev != INVALID) return INVALID;
+      if (v._id > u._id) {
+        if (v._id - u._id == _width)
+          return Edge(u._id);
+        if (v._id - u._id == 1 && u._id % _width < _width - 1) {
+          return Edge(u._id / _width * (_width - 1) +
+                      u._id % _width + _edge_limit);
+        }
+      } else {
+        if (u._id - v._id == _width)
+          return Edge(v._id);
+        if (u._id - v._id == 1 && v._id % _width < _width - 1) {
+          return Edge(v._id / _width * (_width - 1) +
+                      v._id % _width + _edge_limit);
+        }
+      }
+      return INVALID;
+    }
+
+    Arc findArc(Node u, Node v, Arc prev = INVALID) const {
+      if (prev != INVALID) return INVALID;
+      if (v._id > u._id) {
+        if (v._id - u._id == _width)
+          return Arc((u._id << 1) | 1);
+        if (v._id - u._id == 1 && u._id % _width < _width - 1) {
+          return Arc(((u._id / _width * (_width - 1) +
+                       u._id % _width + _edge_limit) << 1) | 1);
+        }
+      } else {
+        if (u._id - v._id == _width)
+          return Arc(v._id << 1);
+        if (u._id - v._id == 1 && v._id % _width < _width - 1) {
+          return Arc((v._id / _width * (_width - 1) +
+                       v._id % _width + _edge_limit) << 1);
+        }
+      }
+      return INVALID;
+    }
+
+    class Node {
+      friend class GridGraphBase;
+
+    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 GridGraphBase;
+      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 GridGraphBase;
+
+    protected:
+      int _id;
+
+      Arc(int id) : _id(id) {}
+
+    public:
+      Arc() {}
+      Arc (Invalid) : _id(-1) {}
+      operator Edge() const { return _id != -1 ? Edge(_id >> 1) : INVALID; }
+      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(Edge& edge) const {
+      edge._id = _edge_num - 1;
+    }
+
+    static void next(Edge& edge) {
+      --edge._id;
+    }
+
+    void first(Arc& arc) const {
+      arc._id = 2 * _edge_num - 1;
+    }
+
+    static void next(Arc& arc) {
+      --arc._id;
+    }
+
+    void firstOut(Arc& arc, const Node& node) const {
+      if (node._id % _width < _width - 1) {
+        arc._id = (_edge_limit + node._id % _width +
+                   (node._id / _width) * (_width - 1)) << 1 | 1;
+        return;
+      }
+      if (node._id < _node_num - _width) {
+        arc._id = node._id << 1 | 1;
+        return;
+      }
+      if (node._id % _width > 0) {
+        arc._id = (_edge_limit + node._id % _width +
+                   (node._id / _width) * (_width - 1) - 1) << 1;
+        return;
+      }
+      if (node._id >= _width) {
+        arc._id = (node._id - _width) << 1;
+        return;
+      }
+      arc._id = -1;
+    }
+
+    void nextOut(Arc& arc) const {
+      int nid = arc._id >> 1;
+      if ((arc._id & 1) == 1) {
+        if (nid >= _edge_limit) {
+          nid = (nid - _edge_limit) % (_width - 1) +
+            (nid - _edge_limit) / (_width - 1) * _width;
+          if (nid < _node_num - _width) {
+            arc._id = nid << 1 | 1;
+            return;
+          }
+        }
+        if (nid % _width > 0) {
+          arc._id = (_edge_limit + nid % _width +
+                     (nid / _width) * (_width - 1) - 1) << 1;
+          return;
+        }
+        if (nid >= _width) {
+          arc._id = (nid - _width) << 1;
+          return;
+        }
+      } else {
+        if (nid >= _edge_limit) {
+          nid = (nid - _edge_limit) % (_width - 1) +
+            (nid - _edge_limit) / (_width - 1) * _width + 1;
+          if (nid >= _width) {
+            arc._id = (nid - _width) << 1;
+            return;
+          }
+        }
+      }
+      arc._id = -1;
+    }
+
+    void firstIn(Arc& arc, const Node& node) const {
+      if (node._id % _width < _width - 1) {
+        arc._id = (_edge_limit + node._id % _width +
+                   (node._id / _width) * (_width - 1)) << 1;
+        return;
+      }
+      if (node._id < _node_num - _width) {
+        arc._id = node._id << 1;
+        return;
+      }
+      if (node._id % _width > 0) {
+        arc._id = (_edge_limit + node._id % _width +
+                   (node._id / _width) * (_width - 1) - 1) << 1 | 1;
+        return;
+      }
+      if (node._id >= _width) {
+        arc._id = (node._id - _width) << 1 | 1;
+        return;
+      }
+      arc._id = -1;
+    }
+
+    void nextIn(Arc& arc) const {
+      int nid = arc._id >> 1;
+      if ((arc._id & 1) == 0) {
+        if (nid >= _edge_limit) {
+          nid = (nid - _edge_limit) % (_width - 1) +
+            (nid - _edge_limit) / (_width - 1) * _width;
+          if (nid < _node_num - _width) {
+            arc._id = nid << 1;
+            return;
+          }
+        }
+        if (nid % _width > 0) {
+          arc._id = (_edge_limit + nid % _width +
+                     (nid / _width) * (_width - 1) - 1) << 1 | 1;
+          return;
+        }
+        if (nid >= _width) {
+          arc._id = (nid - _width) << 1 | 1;
+          return;
+        }
+      } else {
+        if (nid >= _edge_limit) {
+          nid = (nid - _edge_limit) % (_width - 1) +
+            (nid - _edge_limit) / (_width - 1) * _width + 1;
+          if (nid >= _width) {
+            arc._id = (nid - _width) << 1 | 1;
+            return;
+          }
+        }
+      }
+      arc._id = -1;
+    }
+
+    void firstInc(Edge& edge, bool& dir, const Node& node) const {
+      if (node._id % _width < _width - 1) {
+        edge._id = _edge_limit + node._id % _width +
+          (node._id / _width) * (_width - 1);
+        dir = true;
+        return;
+      }
+      if (node._id < _node_num - _width) {
+        edge._id = node._id;
+        dir = true;
+        return;
+      }
+      if (node._id % _width > 0) {
+        edge._id = _edge_limit + node._id % _width +
+          (node._id / _width) * (_width - 1) - 1;
+        dir = false;
+        return;
+      }
+      if (node._id >= _width) {
+        edge._id = node._id - _width;
+        dir = false;
+        return;
+      }
+      edge._id = -1;
+      dir = true;
+    }
+
+    void nextInc(Edge& edge, bool& dir) const {
+      int nid = edge._id;
+      if (dir) {
+        if (nid >= _edge_limit) {
+          nid = (nid - _edge_limit) % (_width - 1) +
+            (nid - _edge_limit) / (_width - 1) * _width;
+          if (nid < _node_num - _width) {
+            edge._id = nid;
+            return;
+          }
+        }
+        if (nid % _width > 0) {
+          edge._id = _edge_limit + nid % _width +
+            (nid / _width) * (_width - 1) - 1;
+          dir = false;
+          return;
+        }
+        if (nid >= _width) {
+          edge._id = nid - _width;
+          dir = false;
+          return;
+        }
+      } else {
+        if (nid >= _edge_limit) {
+          nid = (nid - _edge_limit) % (_width - 1) +
+            (nid - _edge_limit) / (_width - 1) * _width + 1;
+          if (nid >= _width) {
+            edge._id = nid - _width;
+            return;
+          }
+        }
+      }
+      edge._id = -1;
+      dir = true;
+    }
+
+    Arc right(Node n) const {
+      if (n._id % _width < _width - 1) {
+        return Arc(((_edge_limit + n._id % _width +
+                    (n._id / _width) * (_width - 1)) << 1) | 1);
+      } else {
+        return INVALID;
+      }
+    }
+
+    Arc left(Node n) const {
+      if (n._id % _width > 0) {
+        return Arc((_edge_limit + n._id % _width +
+                     (n._id / _width) * (_width - 1) - 1) << 1);
+      } else {
+        return INVALID;
+      }
+    }
+
+    Arc up(Node n) const {
+      if (n._id < _edge_limit) {
+        return Arc((n._id << 1) | 1);
+      } else {
+        return INVALID;
+      }
+    }
+
+    Arc down(Node n) const {
+      if (n._id >= _width) {
+        return Arc((n._id - _width) << 1);
+      } else {
+        return INVALID;
+      }
+    }
+
+  private:
+    int _width, _height;
+    int _node_num, _edge_num;
+    int _edge_limit;
+  };
+
+
+  typedef GraphExtender<GridGraphBase> ExtendedGridGraphBase;
+
+  /// \ingroup graphs
+  ///
+  /// \brief Grid graph class
+  ///
+  /// GridGraph implements a special graph type. The nodes of the
+  /// graph can be indexed by two integer values \c (i,j) where \c i is
+  /// in the range <tt>[0..width()-1]</tt> and j is in the range
+  /// <tt>[0..height()-1]</tt>. Two nodes are connected in the graph if
+  /// the indices differ exactly on one position and the difference is
+  /// also exactly one. The nodes of the graph can be obtained by position
+  /// using the \c operator()() function and the indices of the nodes can
+  /// be obtained using \c pos(), \c col() and \c row() members. The outgoing
+  /// arcs can be retrieved with the \c right(), \c up(), \c left()
+  /// and \c down() functions, where the bottom-left corner is the
+  /// origin.
+  ///
+  /// This class is completely static and it needs constant memory space.
+  /// Thus you can neither add nor delete nodes or edges, however
+  /// the structure can be resized using resize().
+  ///
+  /// \image html grid_graph.png
+  /// \image latex grid_graph.eps "Grid graph" width=\textwidth
+  ///
+  /// A short example about the basic usage:
+  ///\code
+  /// GridGraph graph(rows, cols);
+  /// GridGraph::NodeMap<int> val(graph);
+  /// for (int i = 0; i < graph.width(); ++i) {
+  ///   for (int j = 0; j < graph.height(); ++j) {
+  ///     val[graph(i, j)] = i + j;
+  ///   }
+  /// }
+  ///\endcode
+  ///
+  /// This type fully conforms to the \ref concepts::Graph "Graph concept".
+  /// Most of its member functions and nested classes are documented
+  /// only in the concept class.
+  class GridGraph : public ExtendedGridGraphBase {
+    typedef ExtendedGridGraphBase Parent;
+
+  public:
+
+    /// \brief Map to get the indices of the nodes as \ref dim2::Point
+    /// "dim2::Point<int>".
+    ///
+    /// Map to get the indices of the nodes as \ref dim2::Point
+    /// "dim2::Point<int>".
+    class IndexMap {
+    public:
+      /// \brief The key type of the map
+      typedef GridGraph::Node Key;
+      /// \brief The value type of the map
+      typedef dim2::Point<int> Value;
+
+      /// \brief Constructor
+      IndexMap(const GridGraph& graph) : _graph(graph) {}
+
+      /// \brief The subscript operator
+      Value operator[](Key key) const {
+        return _graph.pos(key);
+      }
+
+    private:
+      const GridGraph& _graph;
+    };
+
+    /// \brief Map to get the column of the nodes.
+    ///
+    /// Map to get the column of the nodes.
+    class ColMap {
+    public:
+      /// \brief The key type of the map
+      typedef GridGraph::Node Key;
+      /// \brief The value type of the map
+      typedef int Value;
+
+      /// \brief Constructor
+      ColMap(const GridGraph& graph) : _graph(graph) {}
+
+      /// \brief The subscript operator
+      Value operator[](Key key) const {
+        return _graph.col(key);
+      }
+
+    private:
+      const GridGraph& _graph;
+    };
+
+    /// \brief Map to get the row of the nodes.
+    ///
+    /// Map to get the row of the nodes.
+    class RowMap {
+    public:
+      /// \brief The key type of the map
+      typedef GridGraph::Node Key;
+      /// \brief The value type of the map
+      typedef int Value;
+
+      /// \brief Constructor
+      RowMap(const GridGraph& graph) : _graph(graph) {}
+
+      /// \brief The subscript operator
+      Value operator[](Key key) const {
+        return _graph.row(key);
+      }
+
+    private:
+      const GridGraph& _graph;
+    };
+
+    /// \brief Constructor
+    ///
+    /// Construct a grid graph with the given size.
+    GridGraph(int width, int height) { construct(width, height); }
+
+    /// \brief Resizes the graph
+    ///
+    /// This function resizes the graph. It fully destroys and
+    /// rebuilds the structure, therefore the maps of the graph will be
+    /// reallocated automatically and the previous values will be lost.
+    void resize(int width, int height) {
+      Parent::notifier(Arc()).clear();
+      Parent::notifier(Edge()).clear();
+      Parent::notifier(Node()).clear();
+      construct(width, height);
+      Parent::notifier(Node()).build();
+      Parent::notifier(Edge()).build();
+      Parent::notifier(Arc()).build();
+    }
+
+    /// \brief The node on the given position.
+    ///
+    /// Gives back the node on the given position.
+    Node operator()(int i, int j) const {
+      return Parent::operator()(i, j);
+    }
+
+    /// \brief The column index of the node.
+    ///
+    /// Gives back the column index of the node.
+    int col(Node n) const {
+      return Parent::col(n);
+    }
+
+    /// \brief The row index of the node.
+    ///
+    /// Gives back the row index of the node.
+    int row(Node n) const {
+      return Parent::row(n);
+    }
+
+    /// \brief The position of the node.
+    ///
+    /// Gives back the position of the node, ie. the <tt>(col,row)</tt> pair.
+    dim2::Point<int> pos(Node n) const {
+      return Parent::pos(n);
+    }
+
+    /// \brief The number of the columns.
+    ///
+    /// Gives back the number of the columns.
+    int width() const {
+      return Parent::width();
+    }
+
+    /// \brief The number of the rows.
+    ///
+    /// Gives back the number of the rows.
+    int height() const {
+      return Parent::height();
+    }
+
+    /// \brief The arc goes right from the node.
+    ///
+    /// Gives back the arc goes right from the node. If there is not
+    /// outgoing arc then it gives back INVALID.
+    Arc right(Node n) const {
+      return Parent::right(n);
+    }
+
+    /// \brief The arc goes left from the node.
+    ///
+    /// Gives back the arc goes left from the node. If there is not
+    /// outgoing arc then it gives back INVALID.
+    Arc left(Node n) const {
+      return Parent::left(n);
+    }
+
+    /// \brief The arc goes up from the node.
+    ///
+    /// Gives back the arc goes up from the node. If there is not
+    /// outgoing arc then it gives back INVALID.
+    Arc up(Node n) const {
+      return Parent::up(n);
+    }
+
+    /// \brief The arc goes down from the node.
+    ///
+    /// Gives back the arc goes down from the node. If there is not
+    /// outgoing arc then it gives back INVALID.
+    Arc down(Node n) const {
+      return Parent::down(n);
+    }
+
+    /// \brief Index map of the grid graph
+    ///
+    /// Just returns an IndexMap for the grid graph.
+    IndexMap indexMap() const {
+      return IndexMap(*this);
+    }
+
+    /// \brief Row map of the grid graph
+    ///
+    /// Just returns a RowMap for the grid graph.
+    RowMap rowMap() const {
+      return RowMap(*this);
+    }
+
+    /// \brief Column map of the grid graph
+    ///
+    /// Just returns a ColMap for the grid graph.
+    ColMap colMap() const {
+      return ColMap(*this);
+    }
+
+  };
+
+}
+#endif