LEMON/LEMON-official Changeset - r631:33c6b6e755cd

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Changeset - r631:33c6b6e755cd

« 630:99a31b

635:58f704 »

r631:33c6b6e755cd

Wed, 15 Apr 2009 02:04:37

[Not Reviewed]

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kpeter (Peter Kovacs)
kpeter@inf.elte.hu

Small doc improvements (#263)

0 19 0

default

19 files changed:

lemon/bin_heap.h

lemon/concepts/graph_components.h

lemon/concepts/heap.h

lemon/dfs.h

lemon/dijkstra.h

lemon/dimacs.h

lemon/graph_to_eps.h

lemon/kruskal.h

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lemon/bin_heap.h

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 		/* -*- 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_BIN_HEAP_H
 		#define LEMON_BIN_HEAP_H
 		///\ingroup auxdat
 		///\file
 		///\brief Binary Heap implementation.
 		#include <vector>
 		#include <utility>
 		#include <functional>
 		namespace lemon {
 		  ///\ingroup auxdat
 		  ///
 		  ///\brief A Binary Heap implementation.
 		  ///
 		  ///This class implements the \e binary \e heap data structure.
 		  ///
 		  ///A \e heap is a data structure for storing items with specified values
 		  ///called \e priorities in such a way that finding the item with minimum
 		  ///priority is efficient. \c Comp specifies the ordering of the priorities.
 		  ///In a heap one can change the priority of an item, add or erase an
 		  ///item, etc.
 		  ///
 		  ///\tparam PR Type of the priority of the items.
 		  ///\tparam IM A read and writable item map with int values, used internally
 		  ///to handle the cross references.
 		  ///\tparam Comp A functor class for the ordering of the priorities.
 		  ///The default is \c std::less<PR>.
 		  ///
 		  ///\sa FibHeap
 		  ///\sa Dijkstra
 		  template <typename PR, typename IM, typename Comp = std::less<PR> >
 		  class BinHeap {
 		  public:
 		    ///\e
 		    typedef IM ItemIntMap;
 		    ///\e
 		    typedef PR Prio;
 		    ///\e
 		    typedef typename ItemIntMap::Key Item;
 		    ///\e
 		    typedef std::pair<Item,Prio> Pair;
 		    ///\e
 		    typedef Comp Compare;
 		    /// \brief Type to represent the items states.
 		    ///
 		    /// Each Item element have a state associated to it. It may be "in heap",
 		    /// "pre heap" or "post heap". The latter two are indifferent from the
 		    /// heap's point of view, but may be useful to the user.
 		    ///
 		    /// The item-int map must be initialized in such way that it assigns
 		    /// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap.
 		    enum State {
 		      IN_HEAP = 0,    ///< \e
 		      PRE_HEAP = -1,  ///< \e
-		      POST_HEAP = -2  ///< \e
+		      IN_HEAP = 0,    ///< = 0.
 		      PRE_HEAP = -1,  ///< = -1.
 		      POST_HEAP = -2  ///< = -2.
 		    };
 		  private:
 		    std::vector<Pair> _data;
 		    Compare _comp;
 		    ItemIntMap &_iim;
 		  public:
 		    /// \brief The constructor.
 		    ///
 		    /// The constructor.
 		    /// \param map should be given to the constructor, since it is used
 		    /// internally to handle the cross references. The value of the map
 		    /// must be \c PRE_HEAP (<tt>-1</tt>) for every item.
 		    explicit BinHeap(ItemIntMap &map) : _iim(map) {}
 		    /// \brief The constructor.
 		    ///
 		    /// The constructor.
 		    /// \param map should be given to the constructor, since it is used
 		    /// internally to handle the cross references. The value of the map
 		    /// should be PRE_HEAP (-1) for each element.
 		    ///
 		    /// \param comp The comparator function object.
 		    BinHeap(ItemIntMap &map, const Compare &comp)
 		      : _iim(map), _comp(comp) {}
 		    /// The number of items stored in the heap.
 		    ///
 		    /// \brief Returns the number of items stored in the heap.
 		    int size() const { return _data.size(); }
 		    /// \brief Checks if the heap stores no items.
 		    ///
 		    /// Returns \c true if and only if the heap stores no items.
 		    bool empty() const { return _data.empty(); }
 		    /// \brief Make empty this heap.
 		    ///
 		    /// Make empty this heap. It does not change the cross reference map.
 		    /// If you want to reuse what is not surely empty you should first clear
 		    /// the heap and after that you should set the cross reference map for
 		    /// each item to \c PRE_HEAP.
 		    void clear() {
 		      _data.clear();
+		    }
 		  private:
 		    static int parent(int i) { return (i-1)/2; }
 		    static int second_child(int i) { return 2*i+2; }
 		    bool less(const Pair &p1, const Pair &p2) const {
 		      return _comp(p1.second, p2.second);
+		    }
 		    int bubble_up(int hole, Pair p) {
 		      int par = parent(hole);
 		      while( hole>0 && less(p,_data[par]) ) {
 		        move(_data[par],hole);
 		        hole = par;
 		        par = parent(hole);
+		      }
 		      move(p, hole);
 		      return hole;
+		    }
 		    int bubble_down(int hole, Pair p, int length) {
 		      int child = second_child(hole);
 		      while(child < length) {
 		        if( less(_data[child-1], _data[child]) ) {
 		          --child;
+		        }
 		        if( !less(_data[child], p) )
 		          goto ok;
 		        move(_data[child], hole);
 		        hole = child;
 		        child = second_child(hole);
+		      }
 		      child--;
 		      if( child<length && less(_data[child], p) ) {
 		        move(_data[child], hole);
 		        hole=child;
+		      }
 		    ok:
 		      move(p, hole);
 		      return hole;
+		    }
 		    void move(const Pair &p, int i) {
 		      _data[i] = p;
 		      _iim.set(p.first, i);
+		    }
 		  public:
 		    /// \brief Insert a pair of item and priority into the heap.
 		    ///
 		    /// Adds \c p.first to the heap with priority \c p.second.
 		    /// \param p The pair to insert.
 		    void push(const Pair &p) {
 		      int n = _data.size();
 		      _data.resize(n+1);
 		      bubble_up(n, p);
+		    }
 		    /// \brief Insert an item into the heap with the given heap.
 		    ///
 		    /// Adds \c i to the heap with priority \c p.
 		    /// \param i The item to insert.
 		    /// \param p The priority of the item.
 		    void push(const Item &i, const Prio &p) { push(Pair(i,p)); }
 		    /// \brief Returns the item with minimum priority relative to \c Compare.
 		    ///
 		    /// This method returns the item with minimum priority relative to \c
 		    /// Compare.
 		    /// \pre The heap must be nonempty.
 		    Item top() const {
 		      return _data[0].first;
+		    }
 		    /// \brief Returns the minimum priority relative to \c Compare.
 		    ///
 		    /// It returns the minimum priority relative to \c Compare.
 		    /// \pre The heap must be nonempty.
 		    Prio prio() const {
 		      return _data[0].second;
+		    }
 		    /// \brief Deletes the item with minimum priority relative to \c Compare.
 		    ///
 		    /// This method deletes the item with minimum priority relative to \c
 		    /// Compare from the heap.
 		    /// \pre The heap must be non-empty.
 		    void pop() {
 		      int n = _data.size()-1;
 		      _iim.set(_data[0].first, POST_HEAP);
 		      if (n > 0) {
 		        bubble_down(0, _data[n], n);
+		      }
 		      _data.pop_back();
+		    }
 		    /// \brief Deletes \c i from the heap.
 		    ///
 		    /// This method deletes item \c i from the heap.
 		    /// \param i The item to erase.
 		    /// \pre The item should be in the heap.
 		    void erase(const Item &i) {
 		      int h = _iim[i];
 		      int n = _data.size()-1;
 		      _iim.set(_data[h].first, POST_HEAP);
 		      if( h < n ) {
 		        if ( bubble_up(h, _data[n]) == h) {
 		          bubble_down(h, _data[n], n);
+		        }
+		      }
 		      _data.pop_back();
+		    }
 		    /// \brief Returns the priority of \c i.
 		    ///
 		    /// This function returns the priority of item \c i.
 		    /// \param i The item.
 		    /// \pre \c i must be in the heap.
 		    Prio operator[](const Item &i) const {
 		      int idx = _iim[i];
 		      return _data[idx].second;
+		    }
 		    /// \brief \c i gets to the heap with priority \c p independently
 		    /// if \c i was already there.
 		    ///
 		    /// This method calls \ref push(\c i, \c p) if \c i is not stored
 		    /// in the heap and sets the priority of \c i to \c p otherwise.
 		    /// \param i The item.
 		    /// \param p The priority.
 		    void set(const Item &i, const Prio &p) {
 		      int idx = _iim[i];
 		      if( idx < 0 ) {
 		        push(i,p);
+		      }
 		      else if( _comp(p, _data[idx].second) ) {
 		        bubble_up(idx, Pair(i,p));
+		      }
 		      else {
 		        bubble_down(idx, Pair(i,p), _data.size());
+		      }
+		    }
 		    /// \brief Decreases the priority of \c i to \c p.
 		    ///
 		    /// This method decreases the priority of item \c i to \c p.
 		    /// \param i The item.
 		    /// \param p The priority.
 		    /// \pre \c i must be stored in the heap with priority at least \c
 		    /// p relative to \c Compare.
 		    void decrease(const Item &i, const Prio &p) {
 		      int idx = _iim[i];
 		      bubble_up(idx, Pair(i,p));
+		    }
 		    /// \brief Increases the priority of \c i to \c p.
 		    ///
 		    /// This method sets the priority of item \c i to \c p.
 		    /// \param i The item.
 		    /// \param p The priority.
 		    /// \pre \c i must be stored in the heap with priority at most \c
 		    /// p relative to \c Compare.
 		    void increase(const Item &i, const Prio &p) {
 		      int idx = _iim[i];
 		      bubble_down(idx, Pair(i,p), _data.size());
+		    }
 		    /// \brief Returns if \c item is in, has already been in, or has
 		    /// never been in the heap.
 		    ///
 		    /// This method returns PRE_HEAP if \c item has never been in the
 		    /// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP
 		    /// otherwise. In the latter case it is possible that \c item will
 		    /// get back to the heap again.
 		    /// \param i The item.
 		    State state(const Item &i) const {
 		      int s = _iim[i];
 		      if( s>=0 )
 		        s=0;
 		      return State(s);
+		    }
 		    /// \brief Sets the state of the \c item in the heap.
 		    ///
 		    /// Sets the state of the \c item in the heap. It can be used to
 		    /// manually clear the heap when it is important to achive the
 		    /// better time complexity.
 		    /// \param i The item.
 		    /// \param st The state. It should not be \c IN_HEAP.
 		    void state(const Item& i, State st) {
 		      switch (st) {
 		      case POST_HEAP:
 		      case PRE_HEAP:
 		        if (state(i) == IN_HEAP) {
 		          erase(i);
+		        }
 		        _iim[i] = st;
 		        break;
 		      case IN_HEAP:
 		        break;
+		      }
+		    }
 		    /// \brief Replaces an item in the heap.
 		    ///
 		    /// The \c i item is replaced with \c j item. The \c i item should
 		    /// be in the heap, while the \c j should be out of the heap. The
 		    /// \c i item will out of the heap and \c j will be in the heap
 		    /// with the same prioriority as prevoiusly the \c i item.
 		    void replace(const Item& i, const Item& j) {
 		      int idx = _iim[i];
 		      _iim.set(i, _iim[j]);
 		      _iim.set(j, idx);
 		      _data[idx].first = j;
+		    }
 		  }; // class BinHeap
 		} // namespace lemon
 		#endif // LEMON_BIN_HEAP_H

lemon/concepts/graph_components.h

Show inline comments

 		/* -*- 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.
+		 *
 		 */
 		///\ingroup graph_concepts
 		///\file
 		///\brief The concept of graph components.
 		#ifndef LEMON_CONCEPTS_GRAPH_COMPONENTS_H
 		#define LEMON_CONCEPTS_GRAPH_COMPONENTS_H
 		#include <lemon/core.h>
 		#include <lemon/concepts/maps.h>
 		#include <lemon/bits/alteration_notifier.h>
 		namespace lemon {
 		  namespace concepts {
 		    /// \brief Concept class for \c Node, \c Arc and \c Edge types.
 		    ///
 		    /// This class describes the concept of \c Node, \c Arc and \c Edge
 		    /// subtypes of digraph and graph types.
 		    ///
 		    /// \note This class is a template class so that we can use it to
 		    /// create graph skeleton classes. The reason for this is that \c Node
 		    /// and \c Arc (or \c Edge) types should \e not derive from the same
 		    /// base class. For \c Node you should instantiate it with character
 		    /// \c 'n', for \c Arc with \c 'a' and for \c Edge with \c 'e'.
 		#ifndef DOXYGEN
 		    template <char sel = '0'>
 		#endif
 		    class GraphItem {
 		    public:
 		      /// \brief Default constructor.
 		      ///
 		      /// Default constructor.
 		      /// \warning The default constructor is not required to set
 		      /// the item to some well-defined value. So you should consider it
 		      /// as uninitialized.
 		      GraphItem() {}
 		      /// \brief Copy constructor.
 		      ///
 		      /// Copy constructor.
 		      GraphItem(const GraphItem &) {}
 		      /// \brief Constructor for conversion from \c INVALID.
 		      ///
 		      /// Constructor for conversion from \c INVALID.
 		      /// It initializes the item to be invalid.
 		      /// \sa Invalid for more details.
 		      GraphItem(Invalid) {}
 		      /// \brief Assignment operator.
 		      ///
 		      /// Assignment operator for the item.
 		      GraphItem& operator=(const GraphItem&) { return *this; }
 		      /// \brief Equality operator.
 		      ///
 		      /// Equality operator.
 		      bool operator==(const GraphItem&) const { return false; }
 		      /// \brief Inequality operator.
 		      ///
 		      /// Inequality operator.
 		      bool operator!=(const GraphItem&) const { return false; }
 		      /// \brief Ordering operator.
 		      ///
 		      /// This operator defines an ordering of the items.
 		      /// It makes possible to use graph item types as key types in
 		      /// associative containers (e.g. \c std::map).
 		      ///
 		      /// \note This operator only have to define some strict ordering of
 		      /// the items; this order has nothing to do with the iteration
 		      /// ordering of the items.
 		      bool operator<(const GraphItem&) const { return false; }
 		      template<typename _GraphItem>
 		      struct Constraints {
 		        void constraints() {
 		          _GraphItem i1;
 		          _GraphItem i2 = i1;
 		          _GraphItem i3 = INVALID;
 		          i1 = i2 = i3;
 		          bool b;
 		          b = (ia == ib) && (ia != ib);
 		          b = (ia == INVALID) && (ib != INVALID);
 		          b = (ia < ib);
+		        }
 		        const _GraphItem &ia;
 		        const _GraphItem &ib;
 		      };
 		    };
 		    /// \brief Base skeleton class for directed graphs.
 		    ///
 		    /// This class describes the base interface of directed graph types.
 		    /// All digraph %concepts have to conform to this class.
 		    /// It just provides types for nodes and arcs and functions
 		    /// to get the source and the target nodes of arcs.
 		    class BaseDigraphComponent {
 		    public:
 		      typedef BaseDigraphComponent Digraph;
 		      /// \brief Node class of the digraph.
 		      ///
 		      /// This class represents the nodes of the digraph.
 		      typedef GraphItem<'n'> Node;
 		      /// \brief Arc class of the digraph.
 		      ///
 		      /// This class represents the arcs of the digraph.
 		      typedef GraphItem<'a'> Arc;
 		      /// \brief Return the source node of an arc.
 		      ///
 		      /// This function returns the source node of an arc.
 		      Node source(const Arc&) const { return INVALID; }
 		      /// \brief Return the target node of an arc.
 		      ///
 		      /// This function returns the target node of an arc.
 		      Node target(const Arc&) const { return INVALID; }
 		      /// \brief Return the opposite node on the given arc.
 		      ///
 		      /// This function returns the opposite node on the given arc.
 		      Node oppositeNode(const Node&, const Arc&) const {
 		        return INVALID;
+		      }
 		      template <typename _Digraph>
 		      struct Constraints {
 		        typedef typename _Digraph::Node Node;
 		        typedef typename _Digraph::Arc Arc;
 		        void constraints() {
 		          checkConcept<GraphItem<'n'>, Node>();
 		          checkConcept<GraphItem<'a'>, Arc>();
+		          {
 		            Node n;
 		            Arc e(INVALID);
 		            n = digraph.source(e);
 		            n = digraph.target(e);
 		            n = digraph.oppositeNode(n, e);
+		          }
+		        }
 		        const _Digraph& digraph;
 		      };
 		    };
 		    /// \brief Base skeleton class for undirected graphs.
 		    ///
 		    /// This class describes the base interface of undirected graph types.
 		    /// All graph %concepts have to conform to this class.
 		    /// It extends the interface of \ref BaseDigraphComponent with an
 		    /// \c Edge type and functions to get the end nodes of edges,
 		    /// to convert from arcs to edges and to get both direction of edges.
 		    class BaseGraphComponent : public BaseDigraphComponent {
 		    public:
 		      typedef BaseDigraphComponent::Node Node;
 		      typedef BaseDigraphComponent::Arc Arc;
 		      /// \brief Undirected edge class of the graph.
 		      ///
 		      /// This class represents the undirected edges of the graph.
 		      /// Undirected graphs can be used as directed graphs, each edge is
 		      /// represented by two opposite directed arcs.
 		      class Edge : public GraphItem<'e'> {
 		      public:
 		        typedef GraphItem<'e'> Parent;
 		        /// \brief Default constructor.
 		        ///
 		        /// Default constructor.
 		        /// \warning The default constructor is not required to set
 		        /// the item to some well-defined value. So you should consider it
 		        /// as uninitialized.
 		        Edge() {}
 		        /// \brief Copy constructor.
 		        ///
 		        /// Copy constructor.
 		        Edge(const Edge &) : Parent() {}
 		        /// \brief Constructor for conversion from \c INVALID.
 		        ///
 		        /// Constructor for conversion from \c INVALID.
 		        /// It initializes the item to be invalid.
 		        /// \sa Invalid for more details.
 		        Edge(Invalid) {}
 		        /// \brief Constructor for conversion from an arc.
 		        ///
 		        /// Constructor for conversion from an arc.
 		        /// Besides the core graph item functionality each arc should
 		        /// be convertible to the represented edge.
 		        Edge(const Arc&) {}
 		        /// \brief Assign an arc to an edge.
 		        ///
 		        /// This function assigns an arc to an edge.
 		        /// Besides the core graph item functionality each arc should
 		        /// be convertible to the represented edge.
 		        Edge& operator=(const Arc&) { return *this; }
 		      };
 		      /// \brief Return one end node of an edge.
 		      ///
 		      /// This function returns one end node of an edge.
 		      Node u(const Edge&) const { return INVALID; }
 		      /// \brief Return the other end node of an edge.
 		      ///
 		      /// This function returns the other end node of an edge.
 		      Node v(const Edge&) const { return INVALID; }
 		      /// \brief Return a directed arc related to an edge.
 		      ///
 		      /// This function returns a directed arc from its direction and the
 		      /// represented edge.
 		      Arc direct(const Edge&, bool) const { return INVALID; }
 		      /// \brief Return a directed arc related to an edge.
 		      ///
 		      /// This function returns a directed arc from its source node and the
 		      /// represented edge.
 		      Arc direct(const Edge&, const Node&) const { return INVALID; }
 		      /// \brief Return the direction of the arc.
 		      ///
 		      /// Returns the direction of the arc. Each arc represents an
 		      /// edge with a direction. It gives back the
 		      /// direction.
 		      bool direction(const Arc&) const { return true; }
 		      /// \brief Return the opposite arc.
 		      ///
 		      /// This function returns the opposite arc, i.e. the arc representing
 		      /// the same edge and has opposite direction.
 		      Arc oppositeArc(const Arc&) const { return INVALID; }
 		      template <typename _Graph>
 		      struct Constraints {
 		        typedef typename _Graph::Node Node;
 		        typedef typename _Graph::Arc Arc;
 		        typedef typename _Graph::Edge Edge;
 		        void constraints() {
 		          checkConcept<BaseDigraphComponent, _Graph>();
 		          checkConcept<GraphItem<'e'>, Edge>();
+		          {
 		            Node n;
 		            Edge ue(INVALID);
 		            Arc e;
 		            n = graph.u(ue);
 		            n = graph.v(ue);
 		            e = graph.direct(ue, true);
 		            e = graph.direct(ue, false);
 		            e = graph.direct(ue, n);
 		            e = graph.oppositeArc(e);
 		            ue = e;
 		            bool d = graph.direction(e);
 		            ignore_unused_variable_warning(d);
+		          }
+		        }
 		        const _Graph& graph;
 		      };
 		    };
 		    /// \brief Skeleton class for \e idable directed graphs.
 		    ///
 		    /// This class describes the interface of \e idable directed graphs.
 		    /// It extends \ref BaseDigraphComponent with the core ID functions.
 		    /// The ids of the items must be unique and immutable.
 		    /// This concept is part of the Digraph concept.
 		    template <typename BAS = BaseDigraphComponent>
 		    class IDableDigraphComponent : public BAS {
 		    public:
 		      typedef BAS Base;
 		      typedef typename Base::Node Node;
 		      typedef typename Base::Arc Arc;
 		      /// \brief Return a unique integer id for the given node.
 		      ///
 		      /// This function returns a unique integer id for the given node.
 		      int id(const Node&) const { return -1; }
 		      /// \brief Return the node by its unique id.
 		      ///
 		      /// This function returns the node by its unique id.
 		      /// If the digraph does not contain a node with the given id,
 		      /// then the result of the function is undefined.
 		      Node nodeFromId(int) const { return INVALID; }
 		      /// \brief Return a unique integer id for the given arc.
 		      ///
 		      /// This function returns a unique integer id for the given arc.
 		      int id(const Arc&) const { return -1; }
 		      /// \brief Return the arc by its unique id.
 		      ///
 		      /// This function returns the arc by its unique id.
 		      /// If the digraph does not contain an arc with the given id,
 		      /// then the result of the function is undefined.
 		      Arc arcFromId(int) const { return INVALID; }
 		      /// \brief Return an integer greater or equal to the maximum
 		      /// node id.
 		      ///
 		      /// This function returns an integer greater or equal to the
 		      /// maximum node id.
 		      int maxNodeId() const { return -1; }
 		      /// \brief Return an integer greater or equal to the maximum
 		      /// arc id.
 		      ///
 		      /// This function returns an integer greater or equal to the
 		      /// maximum arc id.
 		      int maxArcId() const { return -1; }
 		      template <typename _Digraph>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept<Base, _Digraph >();
 		          typename _Digraph::Node node;
 		          int nid = digraph.id(node);
 		          nid = digraph.id(node);
 		          node = digraph.nodeFromId(nid);
 		          typename _Digraph::Arc arc;
 		          int eid = digraph.id(arc);
 		          eid = digraph.id(arc);
 		          arc = digraph.arcFromId(eid);
 		          nid = digraph.maxNodeId();
 		          ignore_unused_variable_warning(nid);
 		          eid = digraph.maxArcId();
 		          ignore_unused_variable_warning(eid);
+		        }
 		        const _Digraph& digraph;
 		      };
 		    };
 		    /// \brief Skeleton class for \e idable undirected graphs.
 		    ///
 		    /// This class describes the interface of \e idable undirected
 		    /// graphs. It extends \ref IDableDigraphComponent with the core ID
 		    /// functions of undirected graphs.
 		    /// The ids of the items must be unique and immutable.
 		    /// This concept is part of the Graph concept.
 		    template <typename BAS = BaseGraphComponent>
 		    class IDableGraphComponent : public IDableDigraphComponent<BAS> {
 		    public:
 		      typedef BAS Base;
 		      typedef typename Base::Edge Edge;
 		      using IDableDigraphComponent<Base>::id;
 		      /// \brief Return a unique integer id for the given edge.
 		      ///
 		      /// This function returns a unique integer id for the given edge.
 		      int id(const Edge&) const { return -1; }
 		      /// \brief Return the edge by its unique id.
 		      ///
 		      /// This function returns the edge by its unique id.
 		      /// If the graph does not contain an edge with the given id,
 		      /// then the result of the function is undefined.
 		      Edge edgeFromId(int) const { return INVALID; }
 		      /// \brief Return an integer greater or equal to the maximum
 		      /// edge id.
 		      ///
 		      /// This function returns an integer greater or equal to the
 		      /// maximum edge id.
 		      int maxEdgeId() const { return -1; }
 		      template <typename _Graph>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept<IDableDigraphComponent<Base>, _Graph >();
 		          typename _Graph::Edge edge;
 		          int ueid = graph.id(edge);
 		          ueid = graph.id(edge);
 		          edge = graph.edgeFromId(ueid);
 		          ueid = graph.maxEdgeId();
 		          ignore_unused_variable_warning(ueid);
+		        }
 		        const _Graph& graph;
 		      };
 		    };
 		    /// \brief Concept class for \c NodeIt, \c ArcIt and \c EdgeIt types.
 		    ///
 		    /// This class describes the concept of \c NodeIt, \c ArcIt and
 		    /// \c EdgeIt subtypes of digraph and graph types.
 		    template <typename GR, typename Item>
 		    class GraphItemIt : public Item {
 		    public:
 		      /// \brief Default constructor.
 		      ///
 		      /// Default constructor.
 		      /// \warning The default constructor is not required to set
 		      /// the iterator to some well-defined value. So you should consider it
 		      /// as uninitialized.
 		      GraphItemIt() {}
 		      /// \brief Copy constructor.
 		      ///
 		      /// Copy constructor.
 		      GraphItemIt(const GraphItemIt& it) : Item(it) {}
 		      /// \brief Constructor that sets the iterator to the first item.
 		      ///
 		      /// Constructor that sets the iterator to the first item.
 		      explicit GraphItemIt(const GR&) {}
 		      /// \brief Constructor for conversion from \c INVALID.
 		      ///
 		      /// Constructor for conversion from \c INVALID.
 		      /// It initializes the iterator to be invalid.
 		      /// \sa Invalid for more details.
 		      GraphItemIt(Invalid) {}
 		      /// \brief Assignment operator.
 		      ///
 		      /// Assignment operator for the iterator.
 		      GraphItemIt& operator=(const GraphItemIt&) { return *this; }
 		      /// \brief Increment the iterator.
 		      ///
 		      /// This operator increments the iterator, i.e. assigns it to the
 		      /// next item.
 		      GraphItemIt& operator++() { return *this; }
 		      /// \brief Equality operator
 		      ///
 		      /// Equality operator.
 		      /// Two iterators are equal if and only if they point to the
 		      /// same object or both are invalid.
 		      bool operator==(const GraphItemIt&) const { return true;}
 		      /// \brief Inequality operator
 		      ///
 		      /// Inequality operator.
 		      /// Two iterators are equal if and only if they point to the
 		      /// same object or both are invalid.
 		      bool operator!=(const GraphItemIt&) const { return true;}
 		      template<typename _GraphItemIt>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept<GraphItem<>, _GraphItemIt>();
 		          _GraphItemIt it1(g);
 		          _GraphItemIt it2;
 		          _GraphItemIt it3 = it1;
 		          _GraphItemIt it4 = INVALID;
 		          it2 = ++it1;
 		          ++it2 = it1;
 		          ++(++it1);
 		          Item bi = it1;
 		          bi = it2;
+		        }
 		        const GR& g;
 		      };
 		    };
 		    /// \brief Concept class for \c InArcIt, \c OutArcIt and
 		    /// \c IncEdgeIt types.
 		    ///
 		    /// This class describes the concept of \c InArcIt, \c OutArcIt
 		    /// and \c IncEdgeIt subtypes of digraph and graph types.
 		    ///
 		    /// \note Since these iterator classes do not inherit from the same
 		    /// base class, there is an additional template parameter (selector)
 		    /// \c sel. For \c InArcIt you should instantiate it with character
 		    /// \c 'i', for \c OutArcIt with \c 'o' and for \c IncEdgeIt with \c 'e'.
 		    template <typename GR,
 		              typename Item = typename GR::Arc,
 		              typename Base = typename GR::Node,
 		              char sel = '0'>
 		    class GraphIncIt : public Item {
 		    public:
 		      /// \brief Default constructor.
 		      ///
 		      /// Default constructor.
 		      /// \warning The default constructor is not required to set
 		      /// the iterator to some well-defined value. So you should consider it
 		      /// as uninitialized.
 		      GraphIncIt() {}
 		      /// \brief Copy constructor.
 		      ///
 		      /// Copy constructor.
 		      GraphIncIt(const GraphIncIt& it) : Item(it) {}
 		      /// \brief Constructor that sets the iterator to the first
 		      /// incoming or outgoing arc.
 		      ///
 		      /// Constructor that sets the iterator to the first arc
 		      /// incoming to or outgoing from the given node.
 		      explicit GraphIncIt(const GR&, const Base&) {}
 		      /// \brief Constructor for conversion from \c INVALID.
 		      ///
 		      /// Constructor for conversion from \c INVALID.
 		      /// It initializes the iterator to be invalid.
 		      /// \sa Invalid for more details.
 		      GraphIncIt(Invalid) {}
 		      /// \brief Assignment operator.
 		      ///
 		      /// Assignment operator for the iterator.
 		      GraphIncIt& operator=(const GraphIncIt&) { return *this; }
 		      /// \brief Increment the iterator.
 		      ///
 		      /// This operator increments the iterator, i.e. assigns it to the
 		      /// next arc incoming to or outgoing from the given node.
 		      GraphIncIt& operator++() { return *this; }
 		      /// \brief Equality operator
 		      ///
 		      /// Equality operator.
 		      /// Two iterators are equal if and only if they point to the
 		      /// same object or both are invalid.
 		      bool operator==(const GraphIncIt&) const { return true;}
 		      /// \brief Inequality operator
 		      ///
 		      /// Inequality operator.
 		      /// Two iterators are equal if and only if they point to the
 		      /// same object or both are invalid.
 		      bool operator!=(const GraphIncIt&) const { return true;}
 		      template <typename _GraphIncIt>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept<GraphItem<sel>, _GraphIncIt>();
 		          _GraphIncIt it1(graph, node);
 		          _GraphIncIt it2;
 		          _GraphIncIt it3 = it1;
 		          _GraphIncIt it4 = INVALID;
 		          it2 = ++it1;
 		          ++it2 = it1;
 		          ++(++it1);
 		          Item e = it1;
 		          e = it2;
+		        }
 		        const Base& node;
 		        const GR& graph;
 		      };
 		    };
 		    /// \brief Skeleton class for iterable directed graphs.
 		    ///
 		    /// This class describes the interface of iterable directed
 		    /// graphs. It extends \ref BaseDigraphComponent with the core
 		    /// iterable interface.
 		    /// This concept is part of the Digraph concept.
 		    template <typename BAS = BaseDigraphComponent>
 		    class IterableDigraphComponent : public BAS {
 		    public:
 		      typedef BAS Base;
 		      typedef typename Base::Node Node;
 		      typedef typename Base::Arc Arc;
 		      typedef IterableDigraphComponent Digraph;
-		      /// \name Base iteration
+		      /// \name Base Iteration
 		      ///
 		      /// This interface provides functions for iteration on digraph items.
 		      ///
 		      /// @{
 		      /// \brief Return the first node.
 		      ///
 		      /// This function gives back the first node in the iteration order.
 		      void first(Node&) const {}
 		      /// \brief Return the next node.
 		      ///
 		      /// This function gives back the next node in the iteration order.
 		      void next(Node&) const {}
 		      /// \brief Return the first arc.
 		      ///
 		      /// This function gives back the first arc in the iteration order.
 		      void first(Arc&) const {}
 		      /// \brief Return the next arc.
 		      ///
 		      /// This function gives back the next arc in the iteration order.
 		      void next(Arc&) const {}
 		      /// \brief Return the first arc incomming to the given node.
 		      ///
 		      /// This function gives back the first arc incomming to the
 		      /// given node.
 		      void firstIn(Arc&, const Node&) const {}
 		      /// \brief Return the next arc incomming to the given node.
 		      ///
 		      /// This function gives back the next arc incomming to the
 		      /// given node.
 		      void nextIn(Arc&) const {}
 		      /// \brief Return the first arc outgoing form the given node.
 		      ///
 		      /// This function gives back the first arc outgoing form the
 		      /// given node.
 		      void firstOut(Arc&, const Node&) const {}
 		      /// \brief Return the next arc outgoing form the given node.
 		      ///
 		      /// This function gives back the next arc outgoing form the
 		      /// given node.
 		      void nextOut(Arc&) const {}
 		      /// @}
-		      /// \name Class based iteration
+		      /// \name Class Based Iteration
 		      ///
 		      /// This interface provides iterator classes for digraph items.
 		      ///
 		      /// @{
 		      /// \brief This iterator goes through each node.
 		      ///
 		      /// This iterator goes through each node.
 		      ///
 		      typedef GraphItemIt<Digraph, Node> NodeIt;
 		      /// \brief This iterator goes through each arc.
 		      ///
 		      /// This iterator goes through each arc.
 		      ///
 		      typedef GraphItemIt<Digraph, Arc> ArcIt;
 		      /// \brief This iterator goes trough the incoming arcs of a node.
 		      ///
 		      /// This iterator goes trough the \e incoming arcs of a certain node
 		      /// of a digraph.
 		      typedef GraphIncIt<Digraph, Arc, Node, 'i'> InArcIt;
 		      /// \brief This iterator goes trough the outgoing arcs of a node.
 		      ///
 		      /// This iterator goes trough the \e outgoing arcs of a certain node
 		      /// of a digraph.
 		      typedef GraphIncIt<Digraph, Arc, Node, 'o'> OutArcIt;
 		      /// \brief The base node of the iterator.
 		      ///
 		      /// This function gives back the base node of the iterator.
 		      /// It is always the target node of the pointed arc.
 		      Node baseNode(const InArcIt&) const { return INVALID; }
 		      /// \brief The running node of the iterator.
 		      ///
 		      /// This function gives back the running node of the iterator.
 		      /// It is always the source node of the pointed arc.
 		      Node runningNode(const InArcIt&) const { return INVALID; }
 		      /// \brief The base node of the iterator.
 		      ///
 		      /// This function gives back the base node of the iterator.
 		      /// It is always the source node of the pointed arc.
 		      Node baseNode(const OutArcIt&) const { return INVALID; }
 		      /// \brief The running node of the iterator.
 		      ///
 		      /// This function gives back the running node of the iterator.
 		      /// It is always the target node of the pointed arc.
 		      Node runningNode(const OutArcIt&) const { return INVALID; }
 		      /// @}
 		      template <typename _Digraph>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept<Base, _Digraph>();
+		          {
 		            typename _Digraph::Node node(INVALID);
 		            typename _Digraph::Arc arc(INVALID);
+		            {
 		              digraph.first(node);
 		              digraph.next(node);
+		            }
+		            {
 		              digraph.first(arc);
 		              digraph.next(arc);
+		            }
+		            {
 		              digraph.firstIn(arc, node);
 		              digraph.nextIn(arc);
+		            }
+		            {
 		              digraph.firstOut(arc, node);
 		              digraph.nextOut(arc);
+		            }
+		          }
+		          {
 		            checkConcept<GraphItemIt<_Digraph, typename _Digraph::Arc>,
 		              typename _Digraph::ArcIt >();
 		            checkConcept<GraphItemIt<_Digraph, typename _Digraph::Node>,
 		              typename _Digraph::NodeIt >();
 		            checkConcept<GraphIncIt<_Digraph, typename _Digraph::Arc,
 		              typename _Digraph::Node, 'i'>, typename _Digraph::InArcIt>();
 		            checkConcept<GraphIncIt<_Digraph, typename _Digraph::Arc,
 		              typename _Digraph::Node, 'o'>, typename _Digraph::OutArcIt>();
 		            typename _Digraph::Node n;
 		            const typename _Digraph::InArcIt iait(INVALID);
 		            const typename _Digraph::OutArcIt oait(INVALID);
 		            n = digraph.baseNode(iait);
 		            n = digraph.runningNode(iait);
 		            n = digraph.baseNode(oait);
 		            n = digraph.runningNode(oait);
 		            ignore_unused_variable_warning(n);
+		          }
+		        }
 		        const _Digraph& digraph;
 		      };
 		    };
 		    /// \brief Skeleton class for iterable undirected graphs.
 		    ///
 		    /// This class describes the interface of iterable undirected
 		    /// graphs. It extends \ref IterableDigraphComponent with the core
 		    /// iterable interface of undirected graphs.
 		    /// This concept is part of the Graph concept.
 		    template <typename BAS = BaseGraphComponent>
 		    class IterableGraphComponent : public IterableDigraphComponent<BAS> {
 		    public:
 		      typedef BAS Base;
 		      typedef typename Base::Node Node;
 		      typedef typename Base::Arc Arc;
 		      typedef typename Base::Edge Edge;
 		      typedef IterableGraphComponent Graph;
-		      /// \name Base iteration
+		      /// \name Base Iteration
 		      ///
 		      /// This interface provides functions for iteration on edges.
 		      ///
 		      /// @{
 		      using IterableDigraphComponent<Base>::first;
 		      using IterableDigraphComponent<Base>::next;
 		      /// \brief Return the first edge.
 		      ///
 		      /// This function gives back the first edge in the iteration order.
 		      void first(Edge&) const {}
 		      /// \brief Return the next edge.
 		      ///
 		      /// This function gives back the next edge in the iteration order.
 		      void next(Edge&) const {}
 		      /// \brief Return the first edge incident to the given node.
 		      ///
 		      /// This function gives back the first edge incident to the given
 		      /// node. The bool parameter gives back the direction for which the
 		      /// source node of the directed arc representing the edge is the
 		      /// given node.
 		      void firstInc(Edge&, bool&, const Node&) const {}
 		      /// \brief Gives back the next of the edges from the
 		      /// given node.
 		      ///
 		      /// This function gives back the next edge incident to the given
 		      /// node. The bool parameter should be used as \c firstInc() use it.
 		      void nextInc(Edge&, bool&) const {}
 		      using IterableDigraphComponent<Base>::baseNode;
 		      using IterableDigraphComponent<Base>::runningNode;
 		      /// @}
-		      /// \name Class based iteration
+		      /// \name Class Based Iteration
 		      ///
 		      /// This interface provides iterator classes for edges.
 		      ///
 		      /// @{
 		      /// \brief This iterator goes through each edge.
 		      ///
 		      /// This iterator goes through each edge.
 		      typedef GraphItemIt<Graph, Edge> EdgeIt;
 		      /// \brief This iterator goes trough the incident edges of a
 		      /// node.
 		      ///
 		      /// This iterator goes trough the incident edges of a certain
 		      /// node of a graph.
 		      typedef GraphIncIt<Graph, Edge, Node, 'e'> IncEdgeIt;
 		      /// \brief The base node of the iterator.
 		      ///
 		      /// This function gives back the base node of the iterator.
 		      Node baseNode(const IncEdgeIt&) const { return INVALID; }
 		      /// \brief The running node of the iterator.
 		      ///
 		      /// This function gives back the running node of the iterator.
 		      Node runningNode(const IncEdgeIt&) const { return INVALID; }
 		      /// @}
 		      template <typename _Graph>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept<IterableDigraphComponent<Base>, _Graph>();
+		          {
 		            typename _Graph::Node node(INVALID);
 		            typename _Graph::Edge edge(INVALID);
 		            bool dir;
+		            {
 		              graph.first(edge);
 		              graph.next(edge);
+		            }
+		            {
 		              graph.firstInc(edge, dir, node);
 		              graph.nextInc(edge, dir);
+		            }
+		          }
+		          {
 		            checkConcept<GraphItemIt<_Graph, typename _Graph::Edge>,
 		              typename _Graph::EdgeIt >();
 		            checkConcept<GraphIncIt<_Graph, typename _Graph::Edge,
 		              typename _Graph::Node, 'e'>, typename _Graph::IncEdgeIt>();
 		            typename _Graph::Node n;
 		            const typename _Graph::IncEdgeIt ieit(INVALID);
 		            n = graph.baseNode(ieit);
 		            n = graph.runningNode(ieit);
+		          }
+		        }
 		        const _Graph& graph;
 		      };
 		    };
 		    /// \brief Skeleton class for alterable directed graphs.
 		    ///
 		    /// This class describes the interface of alterable directed
 		    /// graphs. It extends \ref BaseDigraphComponent with the alteration
 		    /// notifier interface. It implements
 		    /// an observer-notifier pattern for each digraph item. More
 		    /// obsevers can be registered into the notifier and whenever an
 		    /// alteration occured in the digraph all the observers will be
 		    /// notified about it.
 		    template <typename BAS = BaseDigraphComponent>
 		    class AlterableDigraphComponent : public BAS {
 		    public:
 		      typedef BAS Base;
 		      typedef typename Base::Node Node;
 		      typedef typename Base::Arc Arc;
 		      /// Node alteration notifier class.
 		      typedef AlterationNotifier<AlterableDigraphComponent, Node>
 		      NodeNotifier;
 		      /// Arc alteration notifier class.
 		      typedef AlterationNotifier<AlterableDigraphComponent, Arc>
 		      ArcNotifier;
 		      /// \brief Return the node alteration notifier.
 		      ///
 		      /// This function gives back the node alteration notifier.
 		      NodeNotifier& notifier(Node) const {
 		         return NodeNotifier();
+		      }
 		      /// \brief Return the arc alteration notifier.
 		      ///
 		      /// This function gives back the arc alteration notifier.
 		      ArcNotifier& notifier(Arc) const {
 		        return ArcNotifier();
+		      }
 		      template <typename _Digraph>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept<Base, _Digraph>();
 		          typename _Digraph::NodeNotifier& nn
 		            = digraph.notifier(typename _Digraph::Node());
 		          typename _Digraph::ArcNotifier& en
 		            = digraph.notifier(typename _Digraph::Arc());
 		          ignore_unused_variable_warning(nn);
 		          ignore_unused_variable_warning(en);
+		        }
 		        const _Digraph& digraph;
 		      };
 		    };
 		    /// \brief Skeleton class for alterable undirected graphs.
 		    ///
 		    /// This class describes the interface of alterable undirected
 		    /// graphs. It extends \ref AlterableDigraphComponent with the alteration
 		    /// notifier interface of undirected graphs. It implements
 		    /// an observer-notifier pattern for the edges. More
 		    /// obsevers can be registered into the notifier and whenever an
 		    /// alteration occured in the graph all the observers will be
 		    /// notified about it.
 		    template <typename BAS = BaseGraphComponent>
 		    class AlterableGraphComponent : public AlterableDigraphComponent<BAS> {
 		    public:
 		      typedef BAS Base;
 		      typedef typename Base::Edge Edge;
 		      /// Edge alteration notifier class.
 		      typedef AlterationNotifier<AlterableGraphComponent, Edge>
 		      EdgeNotifier;
 		      /// \brief Return the edge alteration notifier.
 		      ///
 		      /// This function gives back the edge alteration notifier.
 		      EdgeNotifier& notifier(Edge) const {
 		        return EdgeNotifier();
+		      }
 		      template <typename _Graph>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept<AlterableDigraphComponent<Base>, _Graph>();
 		          typename _Graph::EdgeNotifier& uen
 		            = graph.notifier(typename _Graph::Edge());
 		          ignore_unused_variable_warning(uen);
+		        }
 		        const _Graph& graph;
 		      };
 		    };
 		    /// \brief Concept class for standard graph maps.
 		    ///
 		    /// This class describes the concept of standard graph maps, i.e.
 		    /// the \c NodeMap, \c ArcMap and \c EdgeMap subtypes of digraph and
 		    /// graph types, which can be used for associating data to graph items.
 		    /// The standard graph maps must conform to the ReferenceMap concept.
 		    template <typename GR, typename K, typename V>
 		    class GraphMap : public ReferenceMap<K, V, V&, const V&> {
 		    public:
 		      typedef ReadWriteMap<K, V> Parent;
 		      /// The graph type of the map.
 		      typedef GR Graph;
 		      /// The key type of the map.
 		      typedef K Key;
 		      /// The value type of the map.
 		      typedef V Value;
 		      /// The reference type of the map.
 		      typedef Value& Reference;
 		      /// The const reference type of the map.
 		      typedef const Value& ConstReference;
 		      // The reference map tag.
 		      typedef True ReferenceMapTag;
 		      /// \brief Construct a new map.
 		      ///
 		      /// Construct a new map for the graph.
 		      explicit GraphMap(const Graph&) {}
 		      /// \brief Construct a new map with default value.
 		      ///
 		      /// Construct a new map for the graph and initalize the values.
 		      GraphMap(const Graph&, const Value&) {}
 		    private:
 		      /// \brief Copy constructor.
 		      ///
 		      /// Copy Constructor.
 		      GraphMap(const GraphMap&) : Parent() {}
 		      /// \brief Assignment operator.
 		      ///
 		      /// Assignment operator. It does not mofify the underlying graph,
 		      /// it just iterates on the current item set and set the  map
 		      /// with the value returned by the assigned map.
 		      template <typename CMap>
 		      GraphMap& operator=(const CMap&) {
 		        checkConcept<ReadMap<Key, Value>, CMap>();
 		        return *this;
+		      }
 		    public:
 		      template<typename _Map>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept
 		            <ReferenceMap<Key, Value, Value&, const Value&>, _Map>();
 		          _Map m1(g);
 		          _Map m2(g,t);
 		          // Copy constructor
 		          // _Map m3(m);
 		          // Assignment operator
 		          // ReadMap<Key, Value> cmap;
 		          // m3 = cmap;
 		          ignore_unused_variable_warning(m1);
 		          ignore_unused_variable_warning(m2);
 		          // ignore_unused_variable_warning(m3);
+		        }
 		        const _Map &m;
 		        const Graph &g;
 		        const typename GraphMap::Value &t;
 		      };
 		    };
 		    /// \brief Skeleton class for mappable directed graphs.
 		    ///
 		    /// This class describes the interface of mappable directed graphs.
 		    /// It extends \ref BaseDigraphComponent with the standard digraph
 		    /// map classes, namely \c NodeMap and \c ArcMap.
 		    /// This concept is part of the Digraph concept.
 		    template <typename BAS = BaseDigraphComponent>
 		    class MappableDigraphComponent : public BAS  {
 		    public:
 		      typedef BAS Base;
 		      typedef typename Base::Node Node;
 		      typedef typename Base::Arc Arc;
 		      typedef MappableDigraphComponent Digraph;
 		      /// \brief Standard graph map for the nodes.
 		      ///
 		      /// Standard graph map for the nodes.
 		      /// It conforms to the ReferenceMap concept.
 		      template <typename V>
 		      class NodeMap : public GraphMap<MappableDigraphComponent, Node, V> {
 		      public:
 		        typedef GraphMap<MappableDigraphComponent, Node, V> Parent;
 		        /// \brief Construct a new map.
 		        ///
 		        /// Construct a new map for the digraph.
 		        explicit NodeMap(const MappableDigraphComponent& digraph)
 		          : Parent(digraph) {}
 		        /// \brief Construct a new map with default value.
 		        ///
 		        /// Construct a new map for the digraph and initalize the values.
 		        NodeMap(const MappableDigraphComponent& digraph, const V& value)
 		          : Parent(digraph, value) {}
 		      private:
 		        /// \brief Copy constructor.
 		        ///
 		        /// Copy Constructor.
 		        NodeMap(const NodeMap& nm) : Parent(nm) {}
 		        /// \brief Assignment operator.
 		        ///
 		        /// Assignment operator.
 		        template <typename CMap>
 		        NodeMap& operator=(const CMap&) {
 		          checkConcept<ReadMap<Node, V>, CMap>();
 		          return *this;
+		        }
 		      };
 		      /// \brief Standard graph map for the arcs.
 		      ///
 		      /// Standard graph map for the arcs.
 		      /// It conforms to the ReferenceMap concept.
 		      template <typename V>
 		      class ArcMap : public GraphMap<MappableDigraphComponent, Arc, V> {
 		      public:
 		        typedef GraphMap<MappableDigraphComponent, Arc, V> Parent;
 		        /// \brief Construct a new map.
 		        ///
 		        /// Construct a new map for the digraph.
 		        explicit ArcMap(const MappableDigraphComponent& digraph)
 		          : Parent(digraph) {}
 		        /// \brief Construct a new map with default value.
 		        ///
 		        /// Construct a new map for the digraph and initalize the values.
 		        ArcMap(const MappableDigraphComponent& digraph, const V& value)
 		          : Parent(digraph, value) {}
 		      private:
 		        /// \brief Copy constructor.
 		        ///
 		        /// Copy Constructor.
 		        ArcMap(const ArcMap& nm) : Parent(nm) {}
 		        /// \brief Assignment operator.
 		        ///
 		        /// Assignment operator.
 		        template <typename CMap>
 		        ArcMap& operator=(const CMap&) {
 		          checkConcept<ReadMap<Arc, V>, CMap>();
 		          return *this;
+		        }
 		      };
 		      template <typename _Digraph>
 		      struct Constraints {
 		        struct Dummy {
 		          int value;
 		          Dummy() : value(0) {}
 		          Dummy(int _v) : value(_v) {}
 		        };
 		        void constraints() {
 		          checkConcept<Base, _Digraph>();
 		          { // int map test
 		            typedef typename _Digraph::template NodeMap<int> IntNodeMap;
 		            checkConcept<GraphMap<_Digraph, typename _Digraph::Node, int>,
 		              IntNodeMap >();
 		          } { // bool map test
 		            typedef typename _Digraph::template NodeMap<bool> BoolNodeMap;
 		            checkConcept<GraphMap<_Digraph, typename _Digraph::Node, bool>,
 		              BoolNodeMap >();
 		          } { // Dummy map test
 		            typedef typename _Digraph::template NodeMap<Dummy> DummyNodeMap;
 		            checkConcept<GraphMap<_Digraph, typename _Digraph::Node, Dummy>,
 		              DummyNodeMap >();
+		          }
 		          { // int map test
 		            typedef typename _Digraph::template ArcMap<int> IntArcMap;
 		            checkConcept<GraphMap<_Digraph, typename _Digraph::Arc, int>,
 		              IntArcMap >();
 		          } { // bool map test
 		            typedef typename _Digraph::template ArcMap<bool> BoolArcMap;
 		            checkConcept<GraphMap<_Digraph, typename _Digraph::Arc, bool>,
 		              BoolArcMap >();
 		          } { // Dummy map test
 		            typedef typename _Digraph::template ArcMap<Dummy> DummyArcMap;
 		            checkConcept<GraphMap<_Digraph, typename _Digraph::Arc, Dummy>,
 		              DummyArcMap >();
+		          }
+		        }
 		        const _Digraph& digraph;
 		      };
 		    };
 		    /// \brief Skeleton class for mappable undirected graphs.
 		    ///
 		    /// This class describes the interface of mappable undirected graphs.
 		    /// It extends \ref MappableDigraphComponent with the standard graph
 		    /// map class for edges (\c EdgeMap).
 		    /// This concept is part of the Graph concept.
 		    template <typename BAS = BaseGraphComponent>
 		    class MappableGraphComponent : public MappableDigraphComponent<BAS>  {
 		    public:
 		      typedef BAS Base;
 		      typedef typename Base::Edge Edge;
 		      typedef MappableGraphComponent Graph;
 		      /// \brief Standard graph map for the edges.
 		      ///
 		      /// Standard graph map for the edges.
 		      /// It conforms to the ReferenceMap concept.
 		      template <typename V>
 		      class EdgeMap : public GraphMap<MappableGraphComponent, Edge, V> {
 		      public:
 		        typedef GraphMap<MappableGraphComponent, Edge, V> Parent;
 		        /// \brief Construct a new map.
 		        ///
 		        /// Construct a new map for the graph.
 		        explicit EdgeMap(const MappableGraphComponent& graph)
 		          : Parent(graph) {}
 		        /// \brief Construct a new map with default value.
 		        ///
 		        /// Construct a new map for the graph and initalize the values.
 		        EdgeMap(const MappableGraphComponent& graph, const V& value)
 		          : Parent(graph, value) {}
 		      private:
 		        /// \brief Copy constructor.
 		        ///
 		        /// Copy Constructor.
 		        EdgeMap(const EdgeMap& nm) : Parent(nm) {}
 		        /// \brief Assignment operator.
 		        ///
 		        /// Assignment operator.
 		        template <typename CMap>
 		        EdgeMap& operator=(const CMap&) {
 		          checkConcept<ReadMap<Edge, V>, CMap>();
 		          return *this;
+		        }
 		      };
 		      template <typename _Graph>
 		      struct Constraints {
 		        struct Dummy {
 		          int value;
 		          Dummy() : value(0) {}
 		          Dummy(int _v) : value(_v) {}
 		        };
 		        void constraints() {
 		          checkConcept<MappableDigraphComponent<Base>, _Graph>();
 		          { // int map test
 		            typedef typename _Graph::template EdgeMap<int> IntEdgeMap;
 		            checkConcept<GraphMap<_Graph, typename _Graph::Edge, int>,
 		              IntEdgeMap >();
 		          } { // bool map test
 		            typedef typename _Graph::template EdgeMap<bool> BoolEdgeMap;
 		            checkConcept<GraphMap<_Graph, typename _Graph::Edge, bool>,
 		              BoolEdgeMap >();
 		          } { // Dummy map test
 		            typedef typename _Graph::template EdgeMap<Dummy> DummyEdgeMap;
 		            checkConcept<GraphMap<_Graph, typename _Graph::Edge, Dummy>,
 		              DummyEdgeMap >();
+		          }
+		        }
 		        const _Graph& graph;
 		      };
 		    };
 		    /// \brief Skeleton class for extendable directed graphs.
 		    ///
 		    /// This class describes the interface of extendable directed graphs.
 		    /// It extends \ref BaseDigraphComponent with functions for adding
 		    /// nodes and arcs to the digraph.
 		    /// This concept requires \ref AlterableDigraphComponent.
 		    template <typename BAS = BaseDigraphComponent>
 		    class ExtendableDigraphComponent : public BAS {
 		    public:
 		      typedef BAS Base;
 		      typedef typename Base::Node Node;
 		      typedef typename Base::Arc Arc;
 		      /// \brief Add a new node to the digraph.
 		      ///
 		      /// This function adds a new node to the digraph.
 		      Node addNode() {
 		        return INVALID;
+		      }
 		      /// \brief Add a new arc connecting the given two nodes.
 		      ///
 		      /// This function adds a new arc connecting the given two nodes
 		      /// of the digraph.
 		      Arc addArc(const Node&, const Node&) {
 		        return INVALID;
+		      }
 		      template <typename _Digraph>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept<Base, _Digraph>();
 		          typename _Digraph::Node node_a, node_b;
 		          node_a = digraph.addNode();
 		          node_b = digraph.addNode();
 		          typename _Digraph::Arc arc;
 		          arc = digraph.addArc(node_a, node_b);
+		        }
 		        _Digraph& digraph;
 		      };
 		    };
 		    /// \brief Skeleton class for extendable undirected graphs.
 		    ///
 		    /// This class describes the interface of extendable undirected graphs.
 		    /// It extends \ref BaseGraphComponent with functions for adding
 		    /// nodes and edges to the graph.
 		    /// This concept requires \ref AlterableGraphComponent.
 		    template <typename BAS = BaseGraphComponent>
 		    class ExtendableGraphComponent : public BAS {
 		    public:
 		      typedef BAS Base;
 		      typedef typename Base::Node Node;
 		      typedef typename Base::Edge Edge;
 		      /// \brief Add a new node to the digraph.
 		      ///
 		      /// This function adds a new node to the digraph.
 		      Node addNode() {
 		        return INVALID;
+		      }
 		      /// \brief Add a new edge connecting the given two nodes.
 		      ///
 		      /// This function adds a new edge connecting the given two nodes
 		      /// of the graph.
 		      Edge addEdge(const Node&, const Node&) {
 		        return INVALID;
+		      }
 		      template <typename _Graph>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept<Base, _Graph>();
 		          typename _Graph::Node node_a, node_b;
 		          node_a = graph.addNode();
 		          node_b = graph.addNode();
 		          typename _Graph::Edge edge;
 		          edge = graph.addEdge(node_a, node_b);
+		        }
 		        _Graph& graph;
 		      };
 		    };
 		    /// \brief Skeleton class for erasable directed graphs.
 		    ///
 		    /// This class describes the interface of erasable directed graphs.
 		    /// It extends \ref BaseDigraphComponent with functions for removing
 		    /// nodes and arcs from the digraph.
 		    /// This concept requires \ref AlterableDigraphComponent.
 		    template <typename BAS = BaseDigraphComponent>
 		    class ErasableDigraphComponent : public BAS {
 		    public:
 		      typedef BAS Base;
 		      typedef typename Base::Node Node;
 		      typedef typename Base::Arc Arc;
 		      /// \brief Erase a node from the digraph.
 		      ///
 		      /// This function erases the given node from the digraph and all arcs
 		      /// connected to the node.
 		      void erase(const Node&) {}
 		      /// \brief Erase an arc from the digraph.
 		      ///
 		      /// This function erases the given arc from the digraph.
 		      void erase(const Arc&) {}
 		      template <typename _Digraph>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept<Base, _Digraph>();
 		          const typename _Digraph::Node node(INVALID);
 		          digraph.erase(node);
 		          const typename _Digraph::Arc arc(INVALID);
 		          digraph.erase(arc);
+		        }
 		        _Digraph& digraph;
 		      };
 		    };
 		    /// \brief Skeleton class for erasable undirected graphs.
 		    ///
 		    /// This class describes the interface of erasable undirected graphs.
 		    /// It extends \ref BaseGraphComponent with functions for removing
 		    /// nodes and edges from the graph.
 		    /// This concept requires \ref AlterableGraphComponent.
 		    template <typename BAS = BaseGraphComponent>
 		    class ErasableGraphComponent : public BAS {
 		    public:
 		      typedef BAS Base;
 		      typedef typename Base::Node Node;
 		      typedef typename Base::Edge Edge;
 		      /// \brief Erase a node from the graph.
 		      ///
 		      /// This function erases the given node from the graph and all edges
 		      /// connected to the node.
 		      void erase(const Node&) {}
 		      /// \brief Erase an edge from the digraph.
 		      ///
 		      /// This function erases the given edge from the digraph.
 		      void erase(const Edge&) {}
 		      template <typename _Graph>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept<Base, _Graph>();
 		          const typename _Graph::Node node(INVALID);
 		          graph.erase(node);
 		          const typename _Graph::Edge edge(INVALID);
 		          graph.erase(edge);
+		        }
 		        _Graph& graph;
 		      };
 		    };
 		    /// \brief Skeleton class for clearable directed graphs.
 		    ///
 		    /// This class describes the interface of clearable directed graphs.
 		    /// It extends \ref BaseDigraphComponent with a function for clearing
 		    /// the digraph.
 		    /// This concept requires \ref AlterableDigraphComponent.
 		    template <typename BAS = BaseDigraphComponent>
 		    class ClearableDigraphComponent : public BAS {
 		    public:
 		      typedef BAS Base;
 		      /// \brief Erase all nodes and arcs from the digraph.
 		      ///
 		      /// This function erases all nodes and arcs from the digraph.
 		      void clear() {}
 		      template <typename _Digraph>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept<Base, _Digraph>();
 		          digraph.clear();
+		        }
 		        _Digraph& digraph;
 		      };
 		    };
 		    /// \brief Skeleton class for clearable undirected graphs.
 		    ///
 		    /// This class describes the interface of clearable undirected graphs.
 		    /// It extends \ref BaseGraphComponent with a function for clearing
 		    /// the graph.
 		    /// This concept requires \ref AlterableGraphComponent.
 		    template <typename BAS = BaseGraphComponent>
 		    class ClearableGraphComponent : public ClearableDigraphComponent<BAS> {
 		    public:
 		      typedef BAS Base;
 		      /// \brief Erase all nodes and edges from the graph.
 		      ///
 		      /// This function erases all nodes and edges from the graph.
 		      void clear() {}
 		      template <typename _Graph>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept<Base, _Graph>();
 		          graph.clear();
+		        }
 		        _Graph& graph;
 		      };
 		    };
+		  }
+		}
 		#endif

lemon/concepts/heap.h

Show inline comments

 		/* -*- 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.
+		 *
 		 */
 		///\ingroup concept
 		///\file
 		///\brief The concept of heaps.
 		#ifndef LEMON_CONCEPTS_HEAP_H
 		#define LEMON_CONCEPTS_HEAP_H
 		#include <lemon/core.h>
 		#include <lemon/concept_check.h>
 		namespace lemon {
 		  namespace concepts {
 		    /// \addtogroup concept
 		    /// @{
 		    /// \brief The heap concept.
 		    ///
 		    /// Concept class describing the main interface of heaps. A \e heap
 		    /// is a data structure for storing items with specified values called
 		    /// \e priorities in such a way that finding the item with minimum
 		    /// priority is efficient. In a heap one can change the priority of an
 		    /// item, add or erase an item, etc.
 		    ///
 		    /// \tparam PR Type of the priority of the items.
 		    /// \tparam IM A read and writable item map with int values, used
 		    /// internally to handle the cross references.
 		    /// \tparam Comp A functor class for the ordering of the priorities.
 		    /// The default is \c std::less<PR>.
 		#ifdef DOXYGEN
 		    template <typename PR, typename IM, typename Comp = std::less<PR> >
 		#else
 		    template <typename PR, typename IM>
 		#endif
 		    class Heap {
 		    public:
 		      /// Type of the item-int map.
 		      typedef IM ItemIntMap;
 		      /// Type of the priorities.
 		      typedef PR Prio;
 		      /// Type of the items stored in the heap.
 		      typedef typename ItemIntMap::Key Item;
 		      /// \brief Type to represent the states of the items.
 		      ///
 		      /// Each item has a state associated to it. It can be "in heap",
 		      /// "pre heap" or "post heap". The later two are indifferent
 		      /// from the point of view of the heap, but may be useful for
 		      /// the user.
 		      ///
 		      /// The item-int map must be initialized in such way that it assigns
 		      /// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap.
 		      enum State {
 		        IN_HEAP = 0,    ///< The "in heap" state constant.
 		        PRE_HEAP = -1,  ///< The "pre heap" state constant.
-		        POST_HEAP = -2  ///< The "post heap" state constant.
+		        IN_HEAP = 0,    ///< = 0. The "in heap" state constant.
 		        PRE_HEAP = -1,  ///< = -1. The "pre heap" state constant.
 		        POST_HEAP = -2  ///< = -2. The "post heap" state constant.
 		      };
 		      /// \brief The constructor.
 		      ///
 		      /// The constructor.
 		      /// \param map A map that assigns \c int values to keys of type
 		      /// \c Item. It is used internally by the heap implementations to
 		      /// handle the cross references. The assigned value must be
 		      /// \c PRE_HEAP (<tt>-1</tt>) for every item.
 		      explicit Heap(ItemIntMap &map) {}
 		      /// \brief The number of items stored in the heap.
 		      ///
 		      /// Returns the number of items stored in the heap.
 		      int size() const { return 0; }
 		      /// \brief Checks if the heap is empty.
 		      ///
 		      /// Returns \c true if the heap is empty.
 		      bool empty() const { return false; }
 		      /// \brief Makes the heap empty.
 		      ///
 		      /// Makes the heap empty.
 		      void clear();
 		      /// \brief Inserts an item into the heap with the given priority.
 		      ///
 		      /// Inserts the given item into the heap with the given priority.
 		      /// \param i The item to insert.
 		      /// \param p The priority of the item.
 		      void push(const Item &i, const Prio &p) {}
 		      /// \brief Returns the item having minimum priority.
 		      ///
 		      /// Returns the item having minimum priority.
 		      /// \pre The heap must be non-empty.
 		      Item top() const {}
 		      /// \brief The minimum priority.
 		      ///
 		      /// Returns the minimum priority.
 		      /// \pre The heap must be non-empty.
 		      Prio prio() const {}
 		      /// \brief Removes the item having minimum priority.
 		      ///
 		      /// Removes the item having minimum priority.
 		      /// \pre The heap must be non-empty.
 		      void pop() {}
 		      /// \brief Removes an item from the heap.
 		      ///
 		      /// Removes the given item from the heap if it is already stored.
 		      /// \param i The item to delete.
 		      void erase(const Item &i) {}
 		      /// \brief The priority of an item.
 		      ///
 		      /// Returns the priority of the given item.
 		      /// \param i The item.
 		      /// \pre \c i must be in the heap.
 		      Prio operator[](const Item &i) const {}
 		      /// \brief Sets the priority of an item or inserts it, if it is
 		      /// not stored in the heap.
 		      ///
 		      /// This method sets the priority of the given item if it is
 		      /// already stored in the heap.
 		      /// Otherwise it inserts the given item with the given priority.
 		      ///
 		      /// \param i The item.
 		      /// \param p The priority.
 		      void set(const Item &i, const Prio &p) {}
 		      /// \brief Decreases the priority of an item to the given value.
 		      ///
 		      /// Decreases the priority of an item to the given value.
 		      /// \param i The item.
 		      /// \param p The priority.
 		      /// \pre \c i must be stored in the heap with priority at least \c p.
 		      void decrease(const Item &i, const Prio &p) {}
 		      /// \brief Increases the priority of an item to the given value.
 		      ///
 		      /// Increases the priority of an item to the given value.
 		      /// \param i The item.
 		      /// \param p The priority.
 		      /// \pre \c i must be stored in the heap with priority at most \c p.
 		      void increase(const Item &i, const Prio &p) {}
 		      /// \brief Returns if an item is in, has already been in, or has
 		      /// never been in the heap.
 		      ///
 		      /// This method returns \c PRE_HEAP if the given item has never
 		      /// been in the heap, \c IN_HEAP if it is in the heap at the moment,
 		      /// and \c POST_HEAP otherwise.
 		      /// In the latter case it is possible that the item will get back
 		      /// to the heap again.
 		      /// \param i The item.
 		      State state(const Item &i) const {}
 		      /// \brief Sets the state of an item in the heap.
 		      ///
 		      /// Sets the state of the given item in the heap. It can be used
 		      /// to manually clear the heap when it is important to achive the
 		      /// better time complexity.
 		      /// \param i The item.
 		      /// \param st The state. It should not be \c IN_HEAP.
 		      void state(const Item& i, State st) {}
 		      template <typename _Heap>
 		      struct Constraints {
 		      public:
 		        void constraints() {
 		          typedef typename _Heap::Item OwnItem;
 		          typedef typename _Heap::Prio OwnPrio;
 		          typedef typename _Heap::State OwnState;
 		          Item item;
 		          Prio prio;
 		          item=Item();
 		          prio=Prio();
 		          ignore_unused_variable_warning(item);
 		          ignore_unused_variable_warning(prio);
 		          OwnItem own_item;
 		          OwnPrio own_prio;
 		          OwnState own_state;
 		          own_item=Item();
 		          own_prio=Prio();
 		          ignore_unused_variable_warning(own_item);
 		          ignore_unused_variable_warning(own_prio);
 		          ignore_unused_variable_warning(own_state);
 		          _Heap heap1(map);
 		          _Heap heap2 = heap1;
 		          ignore_unused_variable_warning(heap1);
 		          ignore_unused_variable_warning(heap2);
 		          int s = heap.size();
 		          ignore_unused_variable_warning(s);
 		          bool e = heap.empty();
 		          ignore_unused_variable_warning(e);
 		          prio = heap.prio();
 		          item = heap.top();
 		          prio = heap[item];
 		          own_prio = heap.prio();
 		          own_item = heap.top();
 		          own_prio = heap[own_item];
 		          heap.push(item, prio);
 		          heap.push(own_item, own_prio);
 		          heap.pop();
 		          heap.set(item, prio);
 		          heap.decrease(item, prio);
 		          heap.increase(item, prio);
 		          heap.set(own_item, own_prio);
 		          heap.decrease(own_item, own_prio);
 		          heap.increase(own_item, own_prio);
 		          heap.erase(item);
 		          heap.erase(own_item);
 		          heap.clear();
 		          own_state = heap.state(own_item);
 		          heap.state(own_item, own_state);
 		          own_state = _Heap::PRE_HEAP;
 		          own_state = _Heap::IN_HEAP;
 		          own_state = _Heap::POST_HEAP;
+		        }
 		        _Heap& heap;
 		        ItemIntMap& map;
 		      };
 		    };
 		    /// @}
 		  } // namespace lemon
+		}
 		#endif

lemon/dfs.h

Show inline comments

 		/* -*- 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_DFS_H
 		#define LEMON_DFS_H
 		///\ingroup search
 		///\file
 		///\brief DFS algorithm.
 		#include <lemon/list_graph.h>
 		#include <lemon/bits/path_dump.h>
 		#include <lemon/core.h>
 		#include <lemon/error.h>
 		#include <lemon/maps.h>
 		#include <lemon/path.h>
 		namespace lemon {
 		  ///Default traits class of Dfs class.
 		  ///Default traits class of Dfs class.
 		  ///\tparam GR Digraph type.
 		  template<class GR>
 		  struct DfsDefaultTraits
+		  {
 		    ///The type of the digraph the algorithm runs on.
 		    typedef GR Digraph;
 		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the %DFS paths.
 		    ///
 		    ///The type of the map that stores the predecessor
 		    ///arcs of the %DFS paths.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
 		    ///Instantiates a \c PredMap.
 		    ///This function instantiates a \ref PredMap.
 		    ///\param g is the digraph, to which we would like to define the
 		    ///\ref PredMap.
 		    static PredMap *createPredMap(const Digraph &g)
+		    {
 		      return new PredMap(g);
+		    }
 		    ///The type of the map that indicates which nodes are processed.
 		    ///The type of the map that indicates which nodes are processed.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
 		    ///Instantiates a \c ProcessedMap.
 		    ///This function instantiates a \ref ProcessedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the \ref ProcessedMap.
 		#ifdef DOXYGEN
 		    static ProcessedMap *createProcessedMap(const Digraph &g)
 		#else
 		    static ProcessedMap *createProcessedMap(const Digraph &)
 		#endif
+		    {
 		      return new ProcessedMap();
+		    }
 		    ///The type of the map that indicates which nodes are reached.
 		    ///The type of the map that indicates which nodes are reached.
 		    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    typedef typename Digraph::template NodeMap<bool> ReachedMap;
 		    ///Instantiates a \c ReachedMap.
 		    ///This function instantiates a \ref ReachedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the \ref ReachedMap.
 		    static ReachedMap *createReachedMap(const Digraph &g)
+		    {
 		      return new ReachedMap(g);
+		    }
 		    ///The type of the map that stores the distances of the nodes.
 		    ///The type of the map that stores the distances of the nodes.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<int> DistMap;
 		    ///Instantiates a \c DistMap.
 		    ///This function instantiates a \ref DistMap.
 		    ///\param g is the digraph, to which we would like to define the
 		    ///\ref DistMap.
 		    static DistMap *createDistMap(const Digraph &g)
+		    {
 		      return new DistMap(g);
+		    }
 		  };
 		  ///%DFS algorithm class.
 		  ///\ingroup search
 		  ///This class provides an efficient implementation of the %DFS algorithm.
 		  ///
 		  ///There is also a \ref dfs() "function-type interface" for the DFS
 		  ///algorithm, which is convenient in the simplier cases and it can be
 		  ///used easier.
 		  ///
 		  ///\tparam GR The type of the digraph the algorithm runs on.
 		  ///The default type is \ref ListDigraph.
 		#ifdef DOXYGEN
 		  template <typename GR,
 		            typename TR>
 		#else
 		  template <typename GR=ListDigraph,
 		            typename TR=DfsDefaultTraits<GR> >
 		#endif
 		  class Dfs {
 		  public:
 		    ///The type of the digraph the algorithm runs on.
 		    typedef typename TR::Digraph Digraph;
 		    ///\brief The type of the map that stores the predecessor arcs of the
 		    ///DFS paths.
 		    typedef typename TR::PredMap PredMap;
 		    ///The type of the map that stores the distances of the nodes.
 		    typedef typename TR::DistMap DistMap;
 		    ///The type of the map that indicates which nodes are reached.
 		    typedef typename TR::ReachedMap ReachedMap;
 		    ///The type of the map that indicates which nodes are processed.
 		    typedef typename TR::ProcessedMap ProcessedMap;
 		    ///The type of the paths.
 		    typedef PredMapPath<Digraph, PredMap> Path;
 		    ///The \ref DfsDefaultTraits "traits class" of the algorithm.
 		    typedef TR Traits;
 		  private:
 		    typedef typename Digraph::Node Node;
 		    typedef typename Digraph::NodeIt NodeIt;
 		    typedef typename Digraph::Arc Arc;
 		    typedef typename Digraph::OutArcIt OutArcIt;
 		    //Pointer to the underlying digraph.
 		    const Digraph *G;
 		    //Pointer to the map of predecessor arcs.
 		    PredMap *_pred;
 		    //Indicates if _pred is locally allocated (true) or not.
 		    bool local_pred;
 		    //Pointer to the map of distances.
 		    DistMap *_dist;
 		    //Indicates if _dist is locally allocated (true) or not.
 		    bool local_dist;
 		    //Pointer to the map of reached status of the nodes.
 		    ReachedMap *_reached;
 		    //Indicates if _reached is locally allocated (true) or not.
 		    bool local_reached;
 		    //Pointer to the map of processed status of the nodes.
 		    ProcessedMap *_processed;
 		    //Indicates if _processed is locally allocated (true) or not.
 		    bool local_processed;
 		    std::vector<typename Digraph::OutArcIt> _stack;
 		    int _stack_head;
 		    //Creates the maps if necessary.
 		    void create_maps()
+		    {
 		      if(!_pred) {
 		        local_pred = true;
 		        _pred = Traits::createPredMap(*G);
+		      }
 		      if(!_dist) {
 		        local_dist = true;
 		        _dist = Traits::createDistMap(*G);
+		      }
 		      if(!_reached) {
 		        local_reached = true;
 		        _reached = Traits::createReachedMap(*G);
+		      }
 		      if(!_processed) {
 		        local_processed = true;
 		        _processed = Traits::createProcessedMap(*G);
+		      }
+		    }
 		  protected:
 		    Dfs() {}
 		  public:
 		    typedef Dfs Create;
-		    ///\name Named template parameters
+		    ///\name Named Template Parameters
 		    ///@{
 		    template <class T>
 		    struct SetPredMapTraits : public Traits {
 		      typedef T PredMap;
 		      static PredMap *createPredMap(const Digraph &)
+		      {
 		        LEMON_ASSERT(false, "PredMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///\c PredMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\c PredMap type.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    template <class T>
 		    struct SetPredMap : public Dfs<Digraph, SetPredMapTraits<T> > {
 		      typedef Dfs<Digraph, SetPredMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct SetDistMapTraits : public Traits {
 		      typedef T DistMap;
 		      static DistMap *createDistMap(const Digraph &)
+		      {
 		        LEMON_ASSERT(false, "DistMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///\c DistMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\c DistMap type.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    template <class T>
 		    struct SetDistMap : public Dfs< Digraph, SetDistMapTraits<T> > {
 		      typedef Dfs<Digraph, SetDistMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct SetReachedMapTraits : public Traits {
 		      typedef T ReachedMap;
 		      static ReachedMap *createReachedMap(const Digraph &)
+		      {
 		        LEMON_ASSERT(false, "ReachedMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///\c ReachedMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\c ReachedMap type.
 		    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    template <class T>
 		    struct SetReachedMap : public Dfs< Digraph, SetReachedMapTraits<T> > {
 		      typedef Dfs< Digraph, SetReachedMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct SetProcessedMapTraits : public Traits {
 		      typedef T ProcessedMap;
 		      static ProcessedMap *createProcessedMap(const Digraph &)
+		      {
 		        LEMON_ASSERT(false, "ProcessedMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///\c ProcessedMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\c ProcessedMap type.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    template <class T>
 		    struct SetProcessedMap : public Dfs< Digraph, SetProcessedMapTraits<T> > {
 		      typedef Dfs< Digraph, SetProcessedMapTraits<T> > Create;
 		    };
 		    struct SetStandardProcessedMapTraits : public Traits {
 		      typedef typename Digraph::template NodeMap<bool> ProcessedMap;
 		      static ProcessedMap *createProcessedMap(const Digraph &g)
+		      {
 		        return new ProcessedMap(g);
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
 		    ///If you don't set it explicitly, it will be automatically allocated.
 		    struct SetStandardProcessedMap :
 		      public Dfs< Digraph, SetStandardProcessedMapTraits > {
 		      typedef Dfs< Digraph, SetStandardProcessedMapTraits > Create;
 		    };
 		    ///@}
 		  public:
 		    ///Constructor.
 		    ///Constructor.
 		    ///\param g The digraph the algorithm runs on.
 		    Dfs(const Digraph &g) :
 		      G(&g),
 		      _pred(NULL), local_pred(false),
 		      _dist(NULL), local_dist(false),
 		      _reached(NULL), local_reached(false),
 		      _processed(NULL), local_processed(false)
 		    { }
 		    ///Destructor.
 		    ~Dfs()
+		    {
 		      if(local_pred) delete _pred;
 		      if(local_dist) delete _dist;
 		      if(local_reached) delete _reached;
 		      if(local_processed) delete _processed;
+		    }
 		    ///Sets the map that stores the predecessor arcs.
 		    ///Sets the map that stores the predecessor arcs.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), an instance will be allocated automatically.
 		    ///The destructor deallocates this automatically allocated map,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Dfs &predMap(PredMap &m)
+		    {
 		      if(local_pred) {
 		        delete _pred;
 		        local_pred=false;
+		      }
 		      _pred = &m;
 		      return *this;
+		    }
 		    ///Sets the map that indicates which nodes are reached.
 		    ///Sets the map that indicates which nodes are reached.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), an instance will be allocated automatically.
 		    ///The destructor deallocates this automatically allocated map,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Dfs &reachedMap(ReachedMap &m)
+		    {
 		      if(local_reached) {
 		        delete _reached;
 		        local_reached=false;
+		      }
 		      _reached = &m;
 		      return *this;
+		    }
 		    ///Sets the map that indicates which nodes are processed.
 		    ///Sets the map that indicates which nodes are processed.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), an instance will be allocated automatically.
 		    ///The destructor deallocates this automatically allocated map,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Dfs &processedMap(ProcessedMap &m)
+		    {
 		      if(local_processed) {
 		        delete _processed;
 		        local_processed=false;
+		      }
 		      _processed = &m;
 		      return *this;
+		    }
 		    ///Sets the map that stores the distances of the nodes.
 		    ///Sets the map that stores the distances of the nodes calculated by
 		    ///the algorithm.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), an instance will be allocated automatically.
 		    ///The destructor deallocates this automatically allocated map,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Dfs &distMap(DistMap &m)
+		    {
 		      if(local_dist) {
 		        delete _dist;
 		        local_dist=false;
+		      }
 		      _dist = &m;
 		      return *this;
+		    }
 		  public:
 		    ///\name Execution Control
 		    ///The simplest way to execute the DFS algorithm is to use one of the
 		    ///member functions called \ref run(Node) "run()".\n
 		    ///If you need more control on the execution, first you have to call
 		    ///\ref init(), then you can add a source node with \ref addSource()
 		    ///and perform the actual computation with \ref start().
 		    ///This procedure can be repeated if there are nodes that have not
 		    ///been reached.
 		    ///@{
 		    ///\brief Initializes the internal data structures.
 		    ///
 		    ///Initializes the internal data structures.
 		    void init()
+		    {
 		      create_maps();
 		      _stack.resize(countNodes(*G));
 		      _stack_head=-1;
 		      for ( NodeIt u(*G) ; u!=INVALID ; ++u ) {
 		        _pred->set(u,INVALID);
 		        _reached->set(u,false);
 		        _processed->set(u,false);
+		      }
+		    }
 		    ///Adds a new source node.
 		    ///Adds a new source node to the set of nodes to be processed.
 		    ///
 		    ///\pre The stack must be empty. Otherwise the algorithm gives
 		    ///wrong results. (One of the outgoing arcs of all the source nodes
 		    ///except for the last one will not be visited and distances will
 		    ///also be wrong.)
 		    void addSource(Node s)
+		    {
 		      LEMON_DEBUG(emptyQueue(), "The stack is not empty.");
 		      if(!(*_reached)[s])
+		        {
 		          _reached->set(s,true);
 		          _pred->set(s,INVALID);
 		          OutArcIt e(*G,s);
 		          if(e!=INVALID) {
 		            _stack[++_stack_head]=e;
 		            _dist->set(s,_stack_head);
+		          }
 		          else {
 		            _processed->set(s,true);
 		            _dist->set(s,0);
+		          }
+		        }
+		    }
 		    ///Processes the next arc.
 		    ///Processes the next arc.
 		    ///
 		    ///\return The processed arc.
 		    ///
 		    ///\pre The stack must not be empty.
 		    Arc processNextArc()
+		    {
 		      Node m;
 		      Arc e=_stack[_stack_head];
 		      if(!(*_reached)[m=G->target(e)]) {
 		        _pred->set(m,e);
 		        _reached->set(m,true);
 		        ++_stack_head;
 		        _stack[_stack_head] = OutArcIt(*G, m);
 		        _dist->set(m,_stack_head);
+		      }
 		      else {
 		        m=G->source(e);
 		        ++_stack[_stack_head];
+		      }
 		      while(_stack_head>=0 && _stack[_stack_head]==INVALID) {
 		        _processed->set(m,true);
 		        --_stack_head;
 		        if(_stack_head>=0) {
 		          m=G->source(_stack[_stack_head]);
 		          ++_stack[_stack_head];
+		        }
+		      }
 		      return e;
+		    }
 		    ///Next arc to be processed.
 		    ///Next arc to be processed.
 		    ///
 		    ///\return The next arc to be processed or \c INVALID if the stack
 		    ///is empty.
 		    OutArcIt nextArc() const
+		    {
 		      return _stack_head>=0?_stack[_stack_head]:INVALID;
+		    }
 		    ///Returns \c false if there are nodes to be processed.
 		    ///Returns \c false if there are nodes to be processed
 		    ///in the queue (stack).
 		    bool emptyQueue() const { return _stack_head<0; }
 		    ///Returns the number of the nodes to be processed.
 		    ///Returns the number of the nodes to be processed
 		    ///in the queue (stack).
 		    int queueSize() const { return _stack_head+1; }
 		    ///Executes the algorithm.
 		    ///Executes the algorithm.
 		    ///
 		    ///This method runs the %DFS algorithm from the root node
 		    ///in order to compute the DFS path to each node.
 		    ///
 		    /// The algorithm computes
 		    ///- the %DFS tree,
 		    ///- the distance of each node from the root in the %DFS tree.
 		    ///
 		    ///\pre init() must be called and a root node should be
 		    ///added with addSource() before using this function.
 		    ///
 		    ///\note <tt>d.start()</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///  while ( !d.emptyQueue() ) {
 		    ///    d.processNextArc();
 		    ///  }
 		    ///\endcode
 		    void start()
+		    {
 		      while ( !emptyQueue() ) processNextArc();
+		    }
 		    ///Executes the algorithm until the given target node is reached.
 		    ///Executes the algorithm until the given target node is reached.
 		    ///
 		    ///This method runs the %DFS algorithm from the root node
 		    ///in order to compute the DFS path to \c t.
 		    ///
 		    ///The algorithm computes
 		    ///- the %DFS path to \c t,
 		    ///- the distance of \c t from the root in the %DFS tree.
 		    ///
 		    ///\pre init() must be called and a root node should be
 		    ///added with addSource() before using this function.
 		    void start(Node t)
+		    {
 		      while ( !emptyQueue() && G->target(_stack[_stack_head])!=t )
 		        processNextArc();
+		    }
 		    ///Executes the algorithm until a condition is met.
 		    ///Executes the algorithm until a condition is met.
 		    ///
 		    ///This method runs the %DFS algorithm from the root node
 		    ///until an arc \c a with <tt>am[a]</tt> true is found.
 		    ///
 		    ///\param am A \c bool (or convertible) arc map. The algorithm
 		    ///will stop when it reaches an arc \c a with <tt>am[a]</tt> true.
 		    ///
 		    ///\return The reached arc \c a with <tt>am[a]</tt> true or
 		    ///\c INVALID if no such arc was found.
 		    ///
 		    ///\pre init() must be called and a root node should be
 		    ///added with addSource() before using this function.
 		    ///
 		    ///\warning Contrary to \ref Bfs and \ref Dijkstra, \c am is an arc map,
 		    ///not a node map.
 		    template<class ArcBoolMap>
 		    Arc start(const ArcBoolMap &am)
+		    {
 		      while ( !emptyQueue() && !am[_stack[_stack_head]] )
 		        processNextArc();
 		      return emptyQueue() ? INVALID : _stack[_stack_head];
+		    }
 		    ///Runs the algorithm from the given source node.
 		    ///This method runs the %DFS algorithm from node \c s
 		    ///in order to compute the DFS path to each node.
 		    ///
 		    ///The algorithm computes
 		    ///- the %DFS tree,
 		    ///- the distance of each node from the root in the %DFS tree.
 		    ///
 		    ///\note <tt>d.run(s)</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///  d.init();
 		    ///  d.addSource(s);
 		    ///  d.start();
 		    ///\endcode
 		    void run(Node s) {
 		      init();
 		      addSource(s);
 		      start();
+		    }
 		    ///Finds the %DFS path between \c s and \c t.
 		    ///This method runs the %DFS algorithm from node \c s
 		    ///in order to compute the DFS path to node \c t
 		    ///(it stops searching when \c t is processed)
 		    ///
 		    ///\return \c true if \c t is reachable form \c s.
 		    ///
 		    ///\note Apart from the return value, <tt>d.run(s,t)</tt> is
 		    ///just a shortcut of the following code.
 		    ///\code
 		    ///  d.init();
 		    ///  d.addSource(s);
 		    ///  d.start(t);
 		    ///\endcode
 		    bool run(Node s,Node t) {
 		      init();
 		      addSource(s);
 		      start(t);
 		      return reached(t);
+		    }
 		    ///Runs the algorithm to visit all nodes in the digraph.
 		    ///This method runs the %DFS algorithm in order to compute the
 		    ///%DFS path to each node.
 		    ///
 		    ///The algorithm computes
 		    ///- the %DFS tree (forest),
 		    ///- the distance of each node from the root(s) in the %DFS tree.
 		    ///
 		    ///\note <tt>d.run()</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///  d.init();
 		    ///  for (NodeIt n(digraph); n != INVALID; ++n) {
 		    ///    if (!d.reached(n)) {
 		    ///      d.addSource(n);
 		    ///      d.start();
 		    ///    }
 		    ///  }
 		    ///\endcode
 		    void run() {
 		      init();
 		      for (NodeIt it(*G); it != INVALID; ++it) {
 		        if (!reached(it)) {
 		          addSource(it);
 		          start();
+		        }
+		      }
+		    }
 		    ///@}
 		    ///\name Query Functions
 		    ///The results of the DFS algorithm can be obtained using these
 		    ///functions.\n
 		    ///Either \ref run(Node) "run()" or \ref start() should be called
 		    ///before using them.
 		    ///@{
 		    ///The DFS path to a node.
 		    ///Returns the DFS path to a node.
 		    ///
 		    ///\warning \c t should be reached from the root(s).
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    Path path(Node t) const { return Path(*G, *_pred, t); }
 		    ///The distance of a node from the root(s).
 		    ///Returns the distance of a node from the root(s).
 		    ///
 		    ///\warning If node \c v is not reached from the root(s), then
 		    ///the return value of this function is undefined.
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    int dist(Node v) const { return (*_dist)[v]; }
 		    ///Returns the 'previous arc' of the %DFS tree for a node.
 		    ///This function returns the 'previous arc' of the %DFS tree for the
 		    ///node \c v, i.e. it returns the last arc of a %DFS path from a
 		    ///root to \c v. It is \c INVALID if \c v is not reached from the
 		    ///root(s) or if \c v is a root.
 		    ///
 		    ///The %DFS tree used here is equal to the %DFS tree used in
 		    ///\ref predNode().
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    Arc predArc(Node v) const { return (*_pred)[v];}
 		    ///Returns the 'previous node' of the %DFS tree.
 		    ///This function returns the 'previous node' of the %DFS
 		    ///tree for the node \c v, i.e. it returns the last but one node
 		    ///from a %DFS path from a root to \c v. It is \c INVALID
 		    ///if \c v is not reached from the root(s) or if \c v is a root.
 		    ///
 		    ///The %DFS tree used here is equal to the %DFS tree used in
 		    ///\ref predArc().
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID:
 		                                  G->source((*_pred)[v]); }
 		    ///\brief Returns a const reference to the node map that stores the
 		    ///distances of the nodes.
 		    ///
 		    ///Returns a const reference to the node map that stores the
 		    ///distances of the nodes calculated by the algorithm.
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    const DistMap &distMap() const { return *_dist;}
 		    ///\brief Returns a const reference to the node map that stores the
 		    ///predecessor arcs.
 		    ///
 		    ///Returns a const reference to the node map that stores the predecessor
 		    ///arcs, which form the DFS tree.
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    const PredMap &predMap() const { return *_pred;}
 		    ///Checks if a node is reached from the root(s).
 		    ///Returns \c true if \c v is reached from the root(s).
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    bool reached(Node v) const { return (*_reached)[v]; }
 		    ///@}
 		  };
 		  ///Default traits class of dfs() function.
 		  ///Default traits class of dfs() function.
 		  ///\tparam GR Digraph type.
 		  template<class GR>
 		  struct DfsWizardDefaultTraits
+		  {
 		    ///The type of the digraph the algorithm runs on.
 		    typedef GR Digraph;
 		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the %DFS paths.
 		    ///
 		    ///The type of the map that stores the predecessor
 		    ///arcs of the %DFS paths.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
 		    ///Instantiates a PredMap.
 		    ///This function instantiates a PredMap.
 		    ///\param g is the digraph, to which we would like to define the
 		    ///PredMap.
 		    static PredMap *createPredMap(const Digraph &g)
+		    {
 		      return new PredMap(g);
+		    }
 		    ///The type of the map that indicates which nodes are processed.
 		    ///The type of the map that indicates which nodes are processed.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    ///By default it is a NullMap.
 		    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
 		    ///Instantiates a ProcessedMap.
 		    ///This function instantiates a ProcessedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the ProcessedMap.
 		#ifdef DOXYGEN
 		    static ProcessedMap *createProcessedMap(const Digraph &g)
 		#else
 		    static ProcessedMap *createProcessedMap(const Digraph &)
 		#endif
+		    {
 		      return new ProcessedMap();
+		    }
 		    ///The type of the map that indicates which nodes are reached.
 		    ///The type of the map that indicates which nodes are reached.
 		    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    typedef typename Digraph::template NodeMap<bool> ReachedMap;
 		    ///Instantiates a ReachedMap.
 		    ///This function instantiates a ReachedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the ReachedMap.
 		    static ReachedMap *createReachedMap(const Digraph &g)
+		    {
 		      return new ReachedMap(g);
+		    }
 		    ///The type of the map that stores the distances of the nodes.
 		    ///The type of the map that stores the distances of the nodes.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<int> DistMap;
 		    ///Instantiates a DistMap.
 		    ///This function instantiates a DistMap.
 		    ///\param g is the digraph, to which we would like to define
 		    ///the DistMap
 		    static DistMap *createDistMap(const Digraph &g)
+		    {
 		      return new DistMap(g);
+		    }
 		    ///The type of the DFS paths.
 		    ///The type of the DFS paths.
 		    ///It must meet the \ref concepts::Path "Path" concept.
 		    typedef lemon::Path<Digraph> Path;
 		  };
 		  /// Default traits class used by DfsWizard
 		  /// To make it easier to use Dfs algorithm
 		  /// we have created a wizard class.
 		  /// This \ref DfsWizard class needs default traits,
 		  /// as well as the \ref Dfs class.
 		  /// The \ref DfsWizardBase is a class to be the default traits of the
 		  /// \ref DfsWizard class.
 		  template<class GR>
 		  class DfsWizardBase : public DfsWizardDefaultTraits<GR>
+		  {
 		    typedef DfsWizardDefaultTraits<GR> Base;
 		  protected:
 		    //The type of the nodes in the digraph.
 		    typedef typename Base::Digraph::Node Node;
 		    //Pointer to the digraph the algorithm runs on.
 		    void *_g;
 		    //Pointer to the map of reached nodes.
 		    void *_reached;
 		    //Pointer to the map of processed nodes.
 		    void *_processed;
 		    //Pointer to the map of predecessors arcs.
 		    void *_pred;
 		    //Pointer to the map of distances.
 		    void *_dist;
 		    //Pointer to the DFS path to the target node.
 		    void *_path;
 		    //Pointer to the distance of the target node.
 		    int *_di;
 		    public:
 		    /// Constructor.
 		    /// This constructor does not require parameters, therefore it initiates
 		    /// all of the attributes to \c 0.
 		    DfsWizardBase() : _g(0), _reached(0), _processed(0), _pred(0),
 		                      _dist(0), _path(0), _di(0) {}
 		    /// Constructor.
 		    /// This constructor requires one parameter,
 		    /// others are initiated to \c 0.
 		    /// \param g The digraph the algorithm runs on.
 		    DfsWizardBase(const GR &g) :
 		      _g(reinterpret_cast<void*>(const_cast<GR*>(&g))),
 		      _reached(0), _processed(0), _pred(0), _dist(0),  _path(0), _di(0) {}
 		  };
 		  /// Auxiliary class for the function-type interface of DFS algorithm.
 		  /// This auxiliary class is created to implement the
 		  /// \ref dfs() "function-type interface" of \ref Dfs algorithm.
 		  /// It does not have own \ref run(Node) "run()" method, it uses the
 		  /// functions and features of the plain \ref Dfs.
 		  ///
 		  /// This class should only be used through the \ref dfs() function,
 		  /// which makes it easier to use the algorithm.
 		  template<class TR>
 		  class DfsWizard : public TR
+		  {
 		    typedef TR Base;
 		    ///The type of the digraph the algorithm runs on.
 		    typedef typename TR::Digraph Digraph;
 		    typedef typename Digraph::Node Node;
 		    typedef typename Digraph::NodeIt NodeIt;
 		    typedef typename Digraph::Arc Arc;
 		    typedef typename Digraph::OutArcIt OutArcIt;
 		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the DFS paths.
 		    typedef typename TR::PredMap PredMap;
 		    ///\brief The type of the map that stores the distances of the nodes.
 		    typedef typename TR::DistMap DistMap;
 		    ///\brief The type of the map that indicates which nodes are reached.
 		    typedef typename TR::ReachedMap ReachedMap;
 		    ///\brief The type of the map that indicates which nodes are processed.
 		    typedef typename TR::ProcessedMap ProcessedMap;
 		    ///The type of the DFS paths
 		    typedef typename TR::Path Path;
 		  public:
 		    /// Constructor.
 		    DfsWizard() : TR() {}
 		    /// Constructor that requires parameters.
 		    /// Constructor that requires parameters.
 		    /// These parameters will be the default values for the traits class.
 		    /// \param g The digraph the algorithm runs on.
 		    DfsWizard(const Digraph &g) :
 		      TR(g) {}
 		    ///Copy constructor
 		    DfsWizard(const TR &b) : TR(b) {}
 		    ~DfsWizard() {}
 		    ///Runs DFS algorithm from the given source node.
 		    ///This method runs DFS algorithm from node \c s
 		    ///in order to compute the DFS path to each node.
 		    void run(Node s)
+		    {
 		      Dfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g));
 		      if (Base::_pred)
 		        alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
 		      if (Base::_dist)
 		        alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
 		      if (Base::_reached)
 		        alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached));
 		      if (Base::_processed)
 		        alg.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed));
 		      if (s!=INVALID)
 		        alg.run(s);
 		      else
 		        alg.run();
+		    }
 		    ///Finds the DFS path between \c s and \c t.
 		    ///This method runs DFS algorithm from node \c s
 		    ///in order to compute the DFS path to node \c t
 		    ///(it stops searching when \c t is processed).
 		    ///
 		    ///\return \c true if \c t is reachable form \c s.
 		    bool run(Node s, Node t)
+		    {
 		      Dfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g));
 		      if (Base::_pred)
 		        alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
 		      if (Base::_dist)
 		        alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
 		      if (Base::_reached)
 		        alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached));
 		      if (Base::_processed)

lemon/dijkstra.h

Show inline comments

 		/* -*- 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_DIJKSTRA_H
 		#define LEMON_DIJKSTRA_H
 		///\ingroup shortest_path
 		///\file
 		///\brief Dijkstra algorithm.
 		#include <limits>
 		#include <lemon/list_graph.h>
 		#include <lemon/bin_heap.h>
 		#include <lemon/bits/path_dump.h>
 		#include <lemon/core.h>
 		#include <lemon/error.h>
 		#include <lemon/maps.h>
 		#include <lemon/path.h>
 		namespace lemon {
 		  /// \brief Default operation traits for the Dijkstra algorithm class.
 		  ///
 		  /// This operation traits class defines all computational operations and
 		  /// constants which are used in the Dijkstra algorithm.
 		  template <typename V>
 		  struct DijkstraDefaultOperationTraits {
 		    /// \e
 		    typedef V Value;
 		    /// \brief Gives back the zero value of the type.
 		    static Value zero() {
 		      return static_cast<Value>(0);
+		    }
 		    /// \brief Gives back the sum of the given two elements.
 		    static Value plus(const Value& left, const Value& right) {
 		      return left + right;
+		    }
 		    /// \brief Gives back true only if the first value is less than the second.
 		    static bool less(const Value& left, const Value& right) {
 		      return left < right;
+		    }
 		  };
 		  ///Default traits class of Dijkstra class.
 		  ///Default traits class of Dijkstra class.
 		  ///\tparam GR The type of the digraph.
 		  ///\tparam LEN The type of the length map.
 		  template<typename GR, typename LEN>
 		  struct DijkstraDefaultTraits
+		  {
 		    ///The type of the digraph the algorithm runs on.
 		    typedef GR Digraph;
 		    ///The type of the map that stores the arc lengths.
 		    ///The type of the map that stores the arc lengths.
 		    ///It must meet the \ref concepts::ReadMap "ReadMap" concept.
 		    typedef LEN LengthMap;
 		    ///The type of the length of the arcs.
 		    typedef typename LEN::Value Value;
 		    /// Operation traits for %Dijkstra algorithm.
 		    /// This class defines the operations that are used in the algorithm.
 		    /// \see DijkstraDefaultOperationTraits
 		    typedef DijkstraDefaultOperationTraits<Value> OperationTraits;
 		    /// The cross reference type used by the heap.
 		    /// The cross reference type used by the heap.
 		    /// Usually it is \c Digraph::NodeMap<int>.
 		    typedef typename Digraph::template NodeMap<int> HeapCrossRef;
 		    ///Instantiates a \c HeapCrossRef.
 		    ///This function instantiates a \ref HeapCrossRef.
 		    /// \param g is the digraph, to which we would like to define the
 		    /// \ref HeapCrossRef.
 		    static HeapCrossRef *createHeapCrossRef(const Digraph &g)
+		    {
 		      return new HeapCrossRef(g);
+		    }
 		    ///The heap type used by the %Dijkstra algorithm.
 		    ///The heap type used by the Dijkstra algorithm.
 		    ///
 		    ///\sa BinHeap
 		    ///\sa Dijkstra
 		    typedef BinHeap<typename LEN::Value, HeapCrossRef, std::less<Value> > Heap;
 		    ///Instantiates a \c Heap.
 		    ///This function instantiates a \ref Heap.
 		    static Heap *createHeap(HeapCrossRef& r)
+		    {
 		      return new Heap(r);
+		    }
 		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    ///
 		    ///The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
 		    ///Instantiates a \c PredMap.
 		    ///This function instantiates a \ref PredMap.
 		    ///\param g is the digraph, to which we would like to define the
 		    ///\ref PredMap.
 		    static PredMap *createPredMap(const Digraph &g)
+		    {
 		      return new PredMap(g);
+		    }
 		    ///The type of the map that indicates which nodes are processed.
 		    ///The type of the map that indicates which nodes are processed.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    ///By default it is a NullMap.
 		    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
 		    ///Instantiates a \c ProcessedMap.
 		    ///This function instantiates a \ref ProcessedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the \ref ProcessedMap.
 		#ifdef DOXYGEN
 		    static ProcessedMap *createProcessedMap(const Digraph &g)
 		#else
 		    static ProcessedMap *createProcessedMap(const Digraph &)
 		#endif
+		    {
 		      return new ProcessedMap();
+		    }
 		    ///The type of the map that stores the distances of the nodes.
 		    ///The type of the map that stores the distances of the nodes.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<typename LEN::Value> DistMap;
 		    ///Instantiates a \c DistMap.
 		    ///This function instantiates a \ref DistMap.
 		    ///\param g is the digraph, to which we would like to define
 		    ///the \ref DistMap.
 		    static DistMap *createDistMap(const Digraph &g)
+		    {
 		      return new DistMap(g);
+		    }
 		  };
 		  ///%Dijkstra algorithm class.
 		  /// \ingroup shortest_path
 		  ///This class provides an efficient implementation of the %Dijkstra algorithm.
 		  ///
 		  ///The arc lengths are passed to the algorithm using a
 		  ///\ref concepts::ReadMap "ReadMap",
 		  ///so it is easy to change it to any kind of length.
 		  ///The type of the length is determined by the
 		  ///\ref concepts::ReadMap::Value "Value" of the length map.
 		  ///It is also possible to change the underlying priority heap.
 		  ///
 		  ///There is also a \ref dijkstra() "function-type interface" for the
 		  ///%Dijkstra algorithm, which is convenient in the simplier cases and
 		  ///it can be used easier.
 		  ///
 		  ///\tparam GR The type of the digraph the algorithm runs on.
 		  ///The default type is \ref ListDigraph.
 		  ///\tparam LEN A \ref concepts::ReadMap "readable" arc map that specifies
 		  ///the lengths of the arcs.
 		  ///It is read once for each arc, so the map may involve in
 		  ///relatively time consuming process to compute the arc lengths if
 		  ///it is necessary. The default map type is \ref
 		  ///concepts::Digraph::ArcMap "GR::ArcMap<int>".
 		#ifdef DOXYGEN
 		  template <typename GR, typename LEN, typename TR>
 		#else
 		  template <typename GR=ListDigraph,
 		            typename LEN=typename GR::template ArcMap<int>,
 		            typename TR=DijkstraDefaultTraits<GR,LEN> >
 		#endif
 		  class Dijkstra {
 		  public:
 		    ///The type of the digraph the algorithm runs on.
 		    typedef typename TR::Digraph Digraph;
 		    ///The type of the length of the arcs.
 		    typedef typename TR::LengthMap::Value Value;
 		    ///The type of the map that stores the arc lengths.
 		    typedef typename TR::LengthMap LengthMap;
 		    ///\brief The type of the map that stores the predecessor arcs of the
 		    ///shortest paths.
 		    typedef typename TR::PredMap PredMap;
 		    ///The type of the map that stores the distances of the nodes.
 		    typedef typename TR::DistMap DistMap;
 		    ///The type of the map that indicates which nodes are processed.
 		    typedef typename TR::ProcessedMap ProcessedMap;
 		    ///The type of the paths.
 		    typedef PredMapPath<Digraph, PredMap> Path;
 		    ///The cross reference type used for the current heap.
 		    typedef typename TR::HeapCrossRef HeapCrossRef;
 		    ///The heap type used by the algorithm.
 		    typedef typename TR::Heap Heap;
 		    ///\brief The \ref DijkstraDefaultOperationTraits "operation traits class"
 		    ///of the algorithm.
 		    typedef typename TR::OperationTraits OperationTraits;
 		    ///The \ref DijkstraDefaultTraits "traits class" of the algorithm.
 		    typedef TR Traits;
 		  private:
 		    typedef typename Digraph::Node Node;
 		    typedef typename Digraph::NodeIt NodeIt;
 		    typedef typename Digraph::Arc Arc;
 		    typedef typename Digraph::OutArcIt OutArcIt;
 		    //Pointer to the underlying digraph.
 		    const Digraph *G;
 		    //Pointer to the length map.
 		    const LengthMap *_length;
 		    //Pointer to the map of predecessors arcs.
 		    PredMap *_pred;
 		    //Indicates if _pred is locally allocated (true) or not.
 		    bool local_pred;
 		    //Pointer to the map of distances.
 		    DistMap *_dist;
 		    //Indicates if _dist is locally allocated (true) or not.
 		    bool local_dist;
 		    //Pointer to the map of processed status of the nodes.
 		    ProcessedMap *_processed;
 		    //Indicates if _processed is locally allocated (true) or not.
 		    bool local_processed;
 		    //Pointer to the heap cross references.
 		    HeapCrossRef *_heap_cross_ref;
 		    //Indicates if _heap_cross_ref is locally allocated (true) or not.
 		    bool local_heap_cross_ref;
 		    //Pointer to the heap.
 		    Heap *_heap;
 		    //Indicates if _heap is locally allocated (true) or not.
 		    bool local_heap;
 		    //Creates the maps if necessary.
 		    void create_maps()
+		    {
 		      if(!_pred) {
 		        local_pred = true;
 		        _pred = Traits::createPredMap(*G);
+		      }
 		      if(!_dist) {
 		        local_dist = true;
 		        _dist = Traits::createDistMap(*G);
+		      }
 		      if(!_processed) {
 		        local_processed = true;
 		        _processed = Traits::createProcessedMap(*G);
+		      }
 		      if (!_heap_cross_ref) {
 		        local_heap_cross_ref = true;
 		        _heap_cross_ref = Traits::createHeapCrossRef(*G);
+		      }
 		      if (!_heap) {
 		        local_heap = true;
 		        _heap = Traits::createHeap(*_heap_cross_ref);
+		      }
+		    }
 		  public:
 		    typedef Dijkstra Create;
-		    ///\name Named template parameters
+		    ///\name Named Template Parameters
 		    ///@{
 		    template <class T>
 		    struct SetPredMapTraits : public Traits {
 		      typedef T PredMap;
 		      static PredMap *createPredMap(const Digraph &)
+		      {
 		        LEMON_ASSERT(false, "PredMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///\c PredMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\c PredMap type.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    template <class T>
 		    struct SetPredMap
 		      : public Dijkstra< Digraph, LengthMap, SetPredMapTraits<T> > {
 		      typedef Dijkstra< Digraph, LengthMap, SetPredMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct SetDistMapTraits : public Traits {
 		      typedef T DistMap;
 		      static DistMap *createDistMap(const Digraph &)
+		      {
 		        LEMON_ASSERT(false, "DistMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///\c DistMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\c DistMap type.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    template <class T>
 		    struct SetDistMap
 		      : public Dijkstra< Digraph, LengthMap, SetDistMapTraits<T> > {
 		      typedef Dijkstra< Digraph, LengthMap, SetDistMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct SetProcessedMapTraits : public Traits {
 		      typedef T ProcessedMap;
 		      static ProcessedMap *createProcessedMap(const Digraph &)
+		      {
 		        LEMON_ASSERT(false, "ProcessedMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///\c ProcessedMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\c ProcessedMap type.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    template <class T>
 		    struct SetProcessedMap
 		      : public Dijkstra< Digraph, LengthMap, SetProcessedMapTraits<T> > {
 		      typedef Dijkstra< Digraph, LengthMap, SetProcessedMapTraits<T> > Create;
 		    };
 		    struct SetStandardProcessedMapTraits : public Traits {
 		      typedef typename Digraph::template NodeMap<bool> ProcessedMap;
 		      static ProcessedMap *createProcessedMap(const Digraph &g)
+		      {
 		        return new ProcessedMap(g);
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
 		    ///If you don't set it explicitly, it will be automatically allocated.
 		    struct SetStandardProcessedMap
 		      : public Dijkstra< Digraph, LengthMap, SetStandardProcessedMapTraits > {
 		      typedef Dijkstra< Digraph, LengthMap, SetStandardProcessedMapTraits >
 		      Create;
 		    };
 		    template <class H, class CR>
 		    struct SetHeapTraits : public Traits {
 		      typedef CR HeapCrossRef;
 		      typedef H Heap;
 		      static HeapCrossRef *createHeapCrossRef(const Digraph &) {
 		        LEMON_ASSERT(false, "HeapCrossRef is not initialized");
 		        return 0; // ignore warnings
+		      }
 		      static Heap *createHeap(HeapCrossRef &)
+		      {
 		        LEMON_ASSERT(false, "Heap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///heap and cross reference types
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting heap and cross
 		    ///reference types. If this named parameter is used, then external
 		    ///heap and cross reference objects must be passed to the algorithm
 		    ///using the \ref heap() function before calling \ref run(Node) "run()"
 		    ///or \ref init().
 		    ///\sa SetStandardHeap
 		    template <class H, class CR = typename Digraph::template NodeMap<int> >
 		    struct SetHeap
 		      : public Dijkstra< Digraph, LengthMap, SetHeapTraits<H, CR> > {
 		      typedef Dijkstra< Digraph, LengthMap, SetHeapTraits<H, CR> > Create;
 		    };
 		    template <class H, class CR>
 		    struct SetStandardHeapTraits : public Traits {
 		      typedef CR HeapCrossRef;
 		      typedef H Heap;
 		      static HeapCrossRef *createHeapCrossRef(const Digraph &G) {
 		        return new HeapCrossRef(G);
+		      }
 		      static Heap *createHeap(HeapCrossRef &R)
+		      {
 		        return new Heap(R);
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///heap and cross reference types with automatic allocation
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting heap and cross
 		    ///reference types with automatic allocation.
 		    ///They should have standard constructor interfaces to be able to
 		    ///automatically created by the algorithm (i.e. the digraph should be
 		    ///passed to the constructor of the cross reference and the cross
 		    ///reference should be passed to the constructor of the heap).
 		    ///However external heap and cross reference objects could also be
 		    ///passed to the algorithm using the \ref heap() function before
 		    ///calling \ref run(Node) "run()" or \ref init().
 		    ///\sa SetHeap
 		    template <class H, class CR = typename Digraph::template NodeMap<int> >
 		    struct SetStandardHeap
 		      : public Dijkstra< Digraph, LengthMap, SetStandardHeapTraits<H, CR> > {
 		      typedef Dijkstra< Digraph, LengthMap, SetStandardHeapTraits<H, CR> >
 		      Create;
 		    };
 		    template <class T>
 		    struct SetOperationTraitsTraits : public Traits {
 		      typedef T OperationTraits;
 		    };
 		    /// \brief \ref named-templ-param "Named parameter" for setting
 		    ///\c OperationTraits type
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\c OperationTraits type.
 		    template <class T>
 		    struct SetOperationTraits
 		      : public Dijkstra<Digraph, LengthMap, SetOperationTraitsTraits<T> > {
 		      typedef Dijkstra<Digraph, LengthMap, SetOperationTraitsTraits<T> >
 		      Create;
 		    };
 		    ///@}
 		  protected:
 		    Dijkstra() {}
 		  public:
 		    ///Constructor.
 		    ///Constructor.
 		    ///\param g The digraph the algorithm runs on.
 		    ///\param length The length map used by the algorithm.
 		    Dijkstra(const Digraph& g, const LengthMap& length) :
 		      G(&g), _length(&length),
 		      _pred(NULL), local_pred(false),
 		      _dist(NULL), local_dist(false),
 		      _processed(NULL), local_processed(false),
 		      _heap_cross_ref(NULL), local_heap_cross_ref(false),
 		      _heap(NULL), local_heap(false)
 		    { }
 		    ///Destructor.
 		    ~Dijkstra()
+		    {
 		      if(local_pred) delete _pred;
 		      if(local_dist) delete _dist;
 		      if(local_processed) delete _processed;
 		      if(local_heap_cross_ref) delete _heap_cross_ref;
 		      if(local_heap) delete _heap;
+		    }
 		    ///Sets the length map.
 		    ///Sets the length map.
 		    ///\return <tt> (*this) </tt>
 		    Dijkstra &lengthMap(const LengthMap &m)
+		    {
 		      _length = &m;
 		      return *this;
+		    }
 		    ///Sets the map that stores the predecessor arcs.
 		    ///Sets the map that stores the predecessor arcs.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), an instance will be allocated automatically.
 		    ///The destructor deallocates this automatically allocated map,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Dijkstra &predMap(PredMap &m)
+		    {
 		      if(local_pred) {
 		        delete _pred;
 		        local_pred=false;
+		      }
 		      _pred = &m;
 		      return *this;
+		    }
 		    ///Sets the map that indicates which nodes are processed.
 		    ///Sets the map that indicates which nodes are processed.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), an instance will be allocated automatically.
 		    ///The destructor deallocates this automatically allocated map,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Dijkstra &processedMap(ProcessedMap &m)
+		    {
 		      if(local_processed) {
 		        delete _processed;
 		        local_processed=false;
+		      }
 		      _processed = &m;
 		      return *this;
+		    }
 		    ///Sets the map that stores the distances of the nodes.
 		    ///Sets the map that stores the distances of the nodes calculated by the
 		    ///algorithm.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), an instance will be allocated automatically.
 		    ///The destructor deallocates this automatically allocated map,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Dijkstra &distMap(DistMap &m)
+		    {
 		      if(local_dist) {
 		        delete _dist;
 		        local_dist=false;
+		      }
 		      _dist = &m;
 		      return *this;
+		    }
 		    ///Sets the heap and the cross reference used by algorithm.
 		    ///Sets the heap and the cross reference used by algorithm.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), heap and cross reference instances will be
 		    ///allocated automatically.
 		    ///The destructor deallocates these automatically allocated objects,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Dijkstra &heap(Heap& hp, HeapCrossRef &cr)
+		    {
 		      if(local_heap_cross_ref) {
 		        delete _heap_cross_ref;
 		        local_heap_cross_ref=false;
+		      }
 		      _heap_cross_ref = &cr;
 		      if(local_heap) {
 		        delete _heap;
 		        local_heap=false;
+		      }
 		      _heap = &hp;
 		      return *this;
+		    }
 		  private:
 		    void finalizeNodeData(Node v,Value dst)
+		    {
 		      _processed->set(v,true);
 		      _dist->set(v, dst);
+		    }
 		  public:
 		    ///\name Execution Control
 		    ///The simplest way to execute the %Dijkstra algorithm is to use
 		    ///one of the member functions called \ref run(Node) "run()".\n
 		    ///If you need more control on the execution, first you have to call
 		    ///\ref init(), then you can add several source nodes with
 		    ///\ref addSource(). Finally the actual path computation can be
 		    ///performed with one of the \ref start() functions.
 		    ///@{
 		    ///\brief Initializes the internal data structures.
 		    ///
 		    ///Initializes the internal data structures.
 		    void init()
+		    {
 		      create_maps();
 		      _heap->clear();
 		      for ( NodeIt u(*G) ; u!=INVALID ; ++u ) {
 		        _pred->set(u,INVALID);
 		        _processed->set(u,false);
 		        _heap_cross_ref->set(u,Heap::PRE_HEAP);
+		      }
+		    }
 		    ///Adds a new source node.
 		    ///Adds a new source node to the priority heap.
 		    ///The optional second parameter is the initial distance of the node.
 		    ///
 		    ///The function checks if the node has already been added to the heap and
 		    ///it is pushed to the heap only if either it was not in the heap
 		    ///or the shortest path found till then is shorter than \c dst.
 		    void addSource(Node s,Value dst=OperationTraits::zero())
+		    {
 		      if(_heap->state(s) != Heap::IN_HEAP) {
 		        _heap->push(s,dst);
 		      } else if(OperationTraits::less((*_heap)[s], dst)) {
 		        _heap->set(s,dst);
 		        _pred->set(s,INVALID);
+		      }
+		    }
 		    ///Processes the next node in the priority heap
 		    ///Processes the next node in the priority heap.
 		    ///
 		    ///\return The processed node.
 		    ///
 		    ///\warning The priority heap must not be empty.
 		    Node processNextNode()
+		    {
 		      Node v=_heap->top();
 		      Value oldvalue=_heap->prio();
 		      _heap->pop();
 		      finalizeNodeData(v,oldvalue);
 		      for(OutArcIt e(*G,v); e!=INVALID; ++e) {
 		        Node w=G->target(e);
 		        switch(_heap->state(w)) {
 		        case Heap::PRE_HEAP:
 		          _heap->push(w,OperationTraits::plus(oldvalue, (*_length)[e]));
 		          _pred->set(w,e);
 		          break;
 		        case Heap::IN_HEAP:
+		          {
 		            Value newvalue = OperationTraits::plus(oldvalue, (*_length)[e]);
 		            if ( OperationTraits::less(newvalue, (*_heap)[w]) ) {
 		              _heap->decrease(w, newvalue);
 		              _pred->set(w,e);
+		            }
+		          }
 		          break;
 		        case Heap::POST_HEAP:
 		          break;
+		        }
+		      }
 		      return v;
+		    }
 		    ///The next node to be processed.
 		    ///Returns the next node to be processed or \c INVALID if the
 		    ///priority heap is empty.
 		    Node nextNode() const
+		    {
 		      return !_heap->empty()?_heap->top():INVALID;
+		    }
 		    ///Returns \c false if there are nodes to be processed.
 		    ///Returns \c false if there are nodes to be processed
 		    ///in the priority heap.
 		    bool emptyQueue() const { return _heap->empty(); }
 		    ///Returns the number of the nodes to be processed.
 		    ///Returns the number of the nodes to be processed
 		    ///in the priority heap.
 		    int queueSize() const { return _heap->size(); }
 		    ///Executes the algorithm.
 		    ///Executes the algorithm.
 		    ///
 		    ///This method runs the %Dijkstra algorithm from the root node(s)
 		    ///in order to compute the shortest path to each node.
 		    ///
 		    ///The algorithm computes
 		    ///- the shortest path tree (forest),
 		    ///- the distance of each node from the root(s).
 		    ///
 		    ///\pre init() must be called and at least one root node should be
 		    ///added with addSource() before using this function.
 		    ///
 		    ///\note <tt>d.start()</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///  while ( !d.emptyQueue() ) {
 		    ///    d.processNextNode();
 		    ///  }
 		    ///\endcode
 		    void start()
+		    {
 		      while ( !emptyQueue() ) processNextNode();
+		    }
 		    ///Executes the algorithm until the given target node is processed.
 		    ///Executes the algorithm until the given target node is processed.
 		    ///
 		    ///This method runs the %Dijkstra algorithm from the root node(s)
 		    ///in order to compute the shortest path to \c t.
 		    ///
 		    ///The algorithm computes
 		    ///- the shortest path to \c t,
 		    ///- the distance of \c t from the root(s).
 		    ///
 		    ///\pre init() must be called and at least one root node should be
 		    ///added with addSource() before using this function.
 		    void start(Node t)
+		    {
 		      while ( !_heap->empty() && _heap->top()!=t ) processNextNode();
 		      if ( !_heap->empty() ) {
 		        finalizeNodeData(_heap->top(),_heap->prio());
 		        _heap->pop();
+		      }
+		    }
 		    ///Executes the algorithm until a condition is met.
 		    ///Executes the algorithm until a condition is met.
 		    ///
 		    ///This method runs the %Dijkstra algorithm from the root node(s) in
 		    ///order to compute the shortest path to a node \c v with
 		    /// <tt>nm[v]</tt> true, if such a node can be found.
 		    ///
 		    ///\param nm A \c bool (or convertible) node map. The algorithm
 		    ///will stop when it reaches a node \c v with <tt>nm[v]</tt> true.
 		    ///
 		    ///\return The reached node \c v with <tt>nm[v]</tt> true or
 		    ///\c INVALID if no such node was found.
 		    ///
 		    ///\pre init() must be called and at least one root node should be
 		    ///added with addSource() before using this function.
 		    template<class NodeBoolMap>
 		    Node start(const NodeBoolMap &nm)
+		    {
 		      while ( !_heap->empty() && !nm[_heap->top()] ) processNextNode();
 		      if ( _heap->empty() ) return INVALID;
 		      finalizeNodeData(_heap->top(),_heap->prio());
 		      return _heap->top();
+		    }
 		    ///Runs the algorithm from the given source node.
 		    ///This method runs the %Dijkstra algorithm from node \c s
 		    ///in order to compute the shortest path to each node.
 		    ///
 		    ///The algorithm computes
 		    ///- the shortest path tree,
 		    ///- the distance of each node from the root.
 		    ///
 		    ///\note <tt>d.run(s)</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///  d.init();
 		    ///  d.addSource(s);
 		    ///  d.start();
 		    ///\endcode
 		    void run(Node s) {
 		      init();
 		      addSource(s);
 		      start();
+		    }
 		    ///Finds the shortest path between \c s and \c t.
 		    ///This method runs the %Dijkstra algorithm from node \c s
 		    ///in order to compute the shortest path to node \c t
 		    ///(it stops searching when \c t is processed).
 		    ///
 		    ///\return \c true if \c t is reachable form \c s.
 		    ///
 		    ///\note Apart from the return value, <tt>d.run(s,t)</tt> is just a
 		    ///shortcut of the following code.
 		    ///\code
 		    ///  d.init();
 		    ///  d.addSource(s);
 		    ///  d.start(t);
 		    ///\endcode
 		    bool run(Node s,Node t) {
 		      init();
 		      addSource(s);
 		      start(t);
 		      return (*_heap_cross_ref)[t] == Heap::POST_HEAP;
+		    }
 		    ///@}
 		    ///\name Query Functions
 		    ///The results of the %Dijkstra algorithm can be obtained using these
 		    ///functions.\n
 		    ///Either \ref run(Node) "run()" or \ref start() should be called
 		    ///before using them.
 		    ///@{
 		    ///The shortest path to a node.
 		    ///Returns the shortest path to a node.
 		    ///
 		    ///\warning \c t should be reached from the root(s).
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    Path path(Node t) const { return Path(*G, *_pred, t); }
 		    ///The distance of a node from the root(s).
 		    ///Returns the distance of a node from the root(s).
 		    ///
 		    ///\warning If node \c v is not reached from the root(s), then
 		    ///the return value of this function is undefined.
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    Value dist(Node v) const { return (*_dist)[v]; }
 		    ///Returns the 'previous arc' of the shortest path tree for a node.
 		    ///This function returns the 'previous arc' of the shortest path
 		    ///tree for the node \c v, i.e. it returns the last arc of a
 		    ///shortest path from a root to \c v. It is \c INVALID if \c v
 		    ///is not reached from the root(s) or if \c v is a root.
 		    ///
 		    ///The shortest path tree used here is equal to the shortest path
 		    ///tree used in \ref predNode().
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    Arc predArc(Node v) const { return (*_pred)[v]; }
 		    ///Returns the 'previous node' of the shortest path tree for a node.
 		    ///This function returns the 'previous node' of the shortest path
 		    ///tree for the node \c v, i.e. it returns the last but one node
 		    ///from a shortest path from a root to \c v. It is \c INVALID
 		    ///if \c v is not reached from the root(s) or if \c v is a root.
 		    ///
 		    ///The shortest path tree used here is equal to the shortest path
 		    ///tree used in \ref predArc().
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID:
 		                                  G->source((*_pred)[v]); }
 		    ///\brief Returns a const reference to the node map that stores the
 		    ///distances of the nodes.
 		    ///
 		    ///Returns a const reference to the node map that stores the distances
 		    ///of the nodes calculated by the algorithm.
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    const DistMap &distMap() const { return *_dist;}
 		    ///\brief Returns a const reference to the node map that stores the
 		    ///predecessor arcs.
 		    ///
 		    ///Returns a const reference to the node map that stores the predecessor
 		    ///arcs, which form the shortest path tree.
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    const PredMap &predMap() const { return *_pred;}
 		    ///Checks if a node is reached from the root(s).
 		    ///Returns \c true if \c v is reached from the root(s).
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    bool reached(Node v) const { return (*_heap_cross_ref)[v] !=
 		                                        Heap::PRE_HEAP; }
 		    ///Checks if a node is processed.
 		    ///Returns \c true if \c v is processed, i.e. the shortest
 		    ///path to \c v has already found.
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    bool processed(Node v) const { return (*_heap_cross_ref)[v] ==
 		                                          Heap::POST_HEAP; }
 		    ///The current distance of a node from the root(s).
 		    ///Returns the current distance of a node from the root(s).
 		    ///It may be decreased in the following processes.
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function and
 		    ///node \c v must be reached but not necessarily processed.
 		    Value currentDist(Node v) const {
 		      return processed(v) ? (*_dist)[v] : (*_heap)[v];
+		    }
 		    ///@}
 		  };
 		  ///Default traits class of dijkstra() function.
 		  ///Default traits class of dijkstra() function.
 		  ///\tparam GR The type of the digraph.
 		  ///\tparam LEN The type of the length map.
 		  template<class GR, class LEN>
 		  struct DijkstraWizardDefaultTraits
+		  {
 		    ///The type of the digraph the algorithm runs on.
 		    typedef GR Digraph;
 		    ///The type of the map that stores the arc lengths.
 		    ///The type of the map that stores the arc lengths.
 		    ///It must meet the \ref concepts::ReadMap "ReadMap" concept.
 		    typedef LEN LengthMap;
 		    ///The type of the length of the arcs.
 		    typedef typename LEN::Value Value;
 		    /// Operation traits for Dijkstra algorithm.
 		    /// This class defines the operations that are used in the algorithm.
 		    /// \see DijkstraDefaultOperationTraits
 		    typedef DijkstraDefaultOperationTraits<Value> OperationTraits;
 		    /// The cross reference type used by the heap.
 		    /// The cross reference type used by the heap.
 		    /// Usually it is \c Digraph::NodeMap<int>.
 		    typedef typename Digraph::template NodeMap<int> HeapCrossRef;
 		    ///Instantiates a \ref HeapCrossRef.
 		    ///This function instantiates a \ref HeapCrossRef.
 		    /// \param g is the digraph, to which we would like to define the
 		    /// HeapCrossRef.
 		    static HeapCrossRef *createHeapCrossRef(const Digraph &g)
+		    {
 		      return new HeapCrossRef(g);
+		    }
 		    ///The heap type used by the Dijkstra algorithm.
 		    ///The heap type used by the Dijkstra algorithm.
 		    ///
 		    ///\sa BinHeap
 		    ///\sa Dijkstra
 		    typedef BinHeap<Value, typename Digraph::template NodeMap<int>,
 		                    std::less<Value> > Heap;
 		    ///Instantiates a \ref Heap.
 		    ///This function instantiates a \ref Heap.
 		    /// \param r is the HeapCrossRef which is used.
 		    static Heap *createHeap(HeapCrossRef& r)
+		    {
 		      return new Heap(r);
+		    }
 		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    ///
 		    ///The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
 		    ///Instantiates a PredMap.
 		    ///This function instantiates a PredMap.
 		    ///\param g is the digraph, to which we would like to define the
 		    ///PredMap.
 		    static PredMap *createPredMap(const Digraph &g)
+		    {
 		      return new PredMap(g);
+		    }
 		    ///The type of the map that indicates which nodes are processed.
 		    ///The type of the map that indicates which nodes are processed.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    ///By default it is a NullMap.
 		    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
 		    ///Instantiates a ProcessedMap.
 		    ///This function instantiates a ProcessedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the ProcessedMap.
 		#ifdef DOXYGEN
 		    static ProcessedMap *createProcessedMap(const Digraph &g)
 		#else
 		    static ProcessedMap *createProcessedMap(const Digraph &)
 		#endif
+		    {
 		      return new ProcessedMap();
+		    }
 		    ///The type of the map that stores the distances of the nodes.
 		    ///The type of the map that stores the distances of the nodes.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<typename LEN::Value> DistMap;
 		    ///Instantiates a DistMap.
 		    ///This function instantiates a DistMap.
 		    ///\param g is the digraph, to which we would like to define
 		    ///the DistMap
 		    static DistMap *createDistMap(const Digraph &g)
+		    {
 		      return new DistMap(g);
+		    }
 		    ///The type of the shortest paths.
 		    ///The type of the shortest paths.
 		    ///It must meet the \ref concepts::Path "Path" concept.
 		    typedef lemon::Path<Digraph> Path;
 		  };
 		  /// Default traits class used by DijkstraWizard
 		  /// To make it easier to use Dijkstra algorithm
 		  /// we have created a wizard class.
 		  /// This \ref DijkstraWizard class needs default traits,
 		  /// as well as the \ref Dijkstra class.
 		  /// The \ref DijkstraWizardBase is a class to be the default traits of the
 		  /// \ref DijkstraWizard class.
 		  template<typename GR, typename LEN>
 		  class DijkstraWizardBase : public DijkstraWizardDefaultTraits<GR,LEN>
+		  {
 		    typedef DijkstraWizardDefaultTraits<GR,LEN> Base;
 		  protected:
 		    //The type of the nodes in the digraph.
 		    typedef typename Base::Digraph::Node Node;
 		    //Pointer to the digraph the algorithm runs on.
 		    void *_g;
 		    //Pointer to the length map.
 		    void *_length;
 		    //Pointer to the map of processed nodes.
 		    void *_processed;
 		    //Pointer to the map of predecessors arcs.
 		    void *_pred;
 		    //Pointer to the map of distances.
 		    void *_dist;
 		    //Pointer to the shortest path to the target node.
 		    void *_path;

lemon/dimacs.h

Show inline comments

 		/* -*- 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_DIMACS_H
 		#define LEMON_DIMACS_H
 		#include <iostream>
 		#include <string>
 		#include <vector>
 		#include <limits>
 		#include <lemon/maps.h>
 		#include <lemon/error.h>
 		/// \ingroup dimacs_group
 		/// \file
 		/// \brief DIMACS file format reader.
 		namespace lemon {
 		  /// \addtogroup dimacs_group
 		  /// @{
 		  /// DIMACS file type descriptor.
 		  struct DimacsDescriptor
+		  {
 		    ///File type enum
 		    enum Type
+		      {
 		        NONE, MIN, MAX, SP, MAT
-		      };
+		    ///\brief DIMACS file type enum
 		    ///
 		    ///DIMACS file type enum.
 		    enum Type {
 		      NONE,  ///< Undefined type.
 		      MIN,   ///< DIMACS file type for minimum cost flow problems.
 		      MAX,   ///< DIMACS file type for maximum flow problems.
 		      SP,    ///< DIMACS file type for shostest path problems.
 		      MAT    ///< DIMACS file type for plain graphs and matching problems.
 		    };
 		    ///The file type
 		    Type type;
 		    ///The number of nodes in the graph
 		    int nodeNum;
 		    ///The number of edges in the graph
 		    int edgeNum;
 		    int lineShift;
-		    /// Constructor. Sets the type to NONE.
+		    ///Constructor. It sets the type to \c NONE.
 		    DimacsDescriptor() : type(NONE) {}
 		  };
 		  ///Discover the type of a DIMACS file
 		  ///It starts seeking the beginning of the file for the problem type
 		  ///and size info. The found data is returned in a special struct
 		  ///that can be evaluated and passed to the appropriate reader
 		  ///function.
 		  ///This function starts seeking the beginning of the given file for the
 		  ///problem type and size info.
 		  ///The found data is returned in a special struct that can be evaluated
 		  ///and passed to the appropriate reader function.
 		  DimacsDescriptor dimacsType(std::istream& is)
+		  {
 		    DimacsDescriptor r;
 		    std::string problem,str;
 		    char c;
 		    r.lineShift=0;
 		    while (is >> c)
 		      switch(c)
+		        {
 		        case 'p':
 		          if(is >> problem >> r.nodeNum >> r.edgeNum)
+		            {
 		              getline(is, str);
 		              r.lineShift++;
 		              if(problem=="min") r.type=DimacsDescriptor::MIN;
 		              else if(problem=="max") r.type=DimacsDescriptor::MAX;
 		              else if(problem=="sp") r.type=DimacsDescriptor::SP;
 		              else if(problem=="mat") r.type=DimacsDescriptor::MAT;
 		              else throw FormatError("Unknown problem type");
 		              return r;
+		            }
 		          else
+		            {
 		              throw FormatError("Missing or wrong problem type declaration.");
+		            }
 		          break;
 		        case 'c':
 		          getline(is, str);
 		          r.lineShift++;
 		          break;
 		        default:
 		          throw FormatError("Unknown DIMACS declaration.");
+		        }
 		    throw FormatError("Missing problem type declaration.");
+		  }
 		  /// DIMACS minimum cost flow reader function.
 		  /// \brief DIMACS minimum cost flow reader function.
 		  ///
 		  /// This function reads a minimum cost flow instance from DIMACS format,
 		  /// i.e. from a DIMACS file having a line starting with
 		  /// \code
 		  ///   p min
 		  /// \endcode
 		  /// At the beginning, \c g is cleared by \c g.clear(). The supply
 		  /// amount of the nodes are written to the \c supply node map
 		  /// (they are signed values). The lower bounds, capacities and costs
 		  /// of the arcs are written to the \c lower, \c capacity and \c cost
 		  /// arc maps.
 		  ///
 		  /// If the capacity of an arc is less than the lower bound, it will
 		  /// be set to "infinite" instead. The actual value of "infinite" is
 		  /// contolled by the \c infty parameter. If it is 0 (the default value),
 		  /// \c std::numeric_limits<Capacity>::infinity() will be used if available,
 		  /// \c std::numeric_limits<Capacity>::max() otherwise. If \c infty is set to
 		  /// a non-zero value, that value will be used as "infinite".
 		  ///
 		  /// If the file type was previously evaluated by dimacsType(), then
 		  /// the descriptor struct should be given by the \c dest parameter.
 		  template <typename Digraph, typename LowerMap,
 		            typename CapacityMap, typename CostMap,
 		            typename SupplyMap>
 		  void readDimacsMin(std::istream& is,
 		                     Digraph &g,
 		                     LowerMap& lower,
 		                     CapacityMap& capacity,
 		                     CostMap& cost,
 		                     SupplyMap& supply,
 		                     typename CapacityMap::Value infty = 0,
 		                     DimacsDescriptor desc=DimacsDescriptor())
+		  {
 		    g.clear();
 		    std::vector<typename Digraph::Node> nodes;
 		    typename Digraph::Arc e;
 		    std::string problem, str;
 		    char c;
 		    int i, j;
 		    if(desc.type==DimacsDescriptor::NONE) desc=dimacsType(is);
 		    if(desc.type!=DimacsDescriptor::MIN)
 		      throw FormatError("Problem type mismatch");
 		    nodes.resize(desc.nodeNum + 1);
 		    for (int k = 1; k <= desc.nodeNum; ++k) {
 		      nodes[k] = g.addNode();
 		      supply.set(nodes[k], 0);
+		    }
 		    typename SupplyMap::Value sup;
 		    typename CapacityMap::Value low;
 		    typename CapacityMap::Value cap;
 		    typename CostMap::Value co;
 		    typedef typename CapacityMap::Value Capacity;
 		    if(infty==0)
 		      infty = std::numeric_limits<Capacity>::has_infinity ?
 		        std::numeric_limits<Capacity>::infinity() :
 		        std::numeric_limits<Capacity>::max();
 		    while (is >> c) {
 		      switch (c) {
 		      case 'c': // comment line
 		        getline(is, str);
 		        break;
 		      case 'n': // node definition line
 		        is >> i >> sup;
 		        getline(is, str);
 		        supply.set(nodes[i], sup);
 		        break;
 		      case 'a': // arc definition line
 		        is >> i >> j >> low >> cap >> co;
 		        getline(is, str);
 		        e = g.addArc(nodes[i], nodes[j]);
 		        lower.set(e, low);
 		        if (cap >= low)
 		          capacity.set(e, cap);
 		        else
 		          capacity.set(e, infty);
 		        cost.set(e, co);
 		        break;
+		      }
+		    }
+		  }
 		  template<typename Digraph, typename CapacityMap>
 		  void _readDimacs(std::istream& is,
 		                   Digraph &g,
 		                   CapacityMap& capacity,
 		                   typename Digraph::Node &s,
 		                   typename Digraph::Node &t,
 		                   typename CapacityMap::Value infty = 0,
 		                   DimacsDescriptor desc=DimacsDescriptor()) {
 		    g.clear();
 		    s=t=INVALID;
 		    std::vector<typename Digraph::Node> nodes;
 		    typename Digraph::Arc e;
 		    char c, d;
 		    int i, j;
 		    typename CapacityMap::Value _cap;
 		    std::string str;
 		    nodes.resize(desc.nodeNum + 1);
 		    for (int k = 1; k <= desc.nodeNum; ++k) {
 		      nodes[k] = g.addNode();
+		    }
 		    typedef typename CapacityMap::Value Capacity;
 		    if(infty==0)
 		      infty = std::numeric_limits<Capacity>::has_infinity ?
 		        std::numeric_limits<Capacity>::infinity() :
 		        std::numeric_limits<Capacity>::max();
 		    while (is >> c) {
 		      switch (c) {
 		      case 'c': // comment line
 		        getline(is, str);
 		        break;
 		      case 'n': // node definition line
 		        if (desc.type==DimacsDescriptor::SP) { // shortest path problem
 		          is >> i;
 		          getline(is, str);
 		          s = nodes[i];
+		        }
 		        if (desc.type==DimacsDescriptor::MAX) { // max flow problem
 		          is >> i >> d;
 		          getline(is, str);
 		          if (d == 's') s = nodes[i];
 		          if (d == 't') t = nodes[i];
+		        }
 		        break;
 		      case 'a': // arc definition line
 		        if (desc.type==DimacsDescriptor::SP) {
 		          is >> i >> j >> _cap;
 		          getline(is, str);
 		          e = g.addArc(nodes[i], nodes[j]);
 		          capacity.set(e, _cap);
+		        }
 		        else if (desc.type==DimacsDescriptor::MAX) {
 		          is >> i >> j >> _cap;
 		          getline(is, str);
 		          e = g.addArc(nodes[i], nodes[j]);
 		          if (_cap >= 0)
 		            capacity.set(e, _cap);
 		          else
 		            capacity.set(e, infty);
+		        }
 		        else {
 		          is >> i >> j;
 		          getline(is, str);
 		          g.addArc(nodes[i], nodes[j]);
+		        }
 		        break;
+		      }
+		    }
+		  }
 		  /// DIMACS maximum flow reader function.
+		  /// \brief DIMACS maximum flow reader function.
 		  ///
 		  /// This function reads a maximum flow instance from DIMACS format,
 		  /// i.e. from a DIMACS file having a line starting with
 		  /// \code
 		  ///   p max
 		  /// \endcode
 		  /// At the beginning, \c g is cleared by \c g.clear(). The arc
 		  /// capacities are written to the \c capacity arc map and \c s and
 		  /// \c t are set to the source and the target nodes.
 		  ///
 		  /// If the capacity of an arc is negative, it will
 		  /// be set to "infinite" instead. The actual value of "infinite" is
 		  /// contolled by the \c infty parameter. If it is 0 (the default value),
 		  /// \c std::numeric_limits<Capacity>::infinity() will be used if available,
 		  /// \c std::numeric_limits<Capacity>::max() otherwise. If \c infty is set to
 		  /// a non-zero value, that value will be used as "infinite".
 		  ///
 		  /// If the file type was previously evaluated by dimacsType(), then
 		  /// the descriptor struct should be given by the \c dest parameter.
 		  template<typename Digraph, typename CapacityMap>
 		  void readDimacsMax(std::istream& is,
 		                     Digraph &g,
 		                     CapacityMap& capacity,
 		                     typename Digraph::Node &s,
 		                     typename Digraph::Node &t,
 		                     typename CapacityMap::Value infty = 0,
 		                     DimacsDescriptor desc=DimacsDescriptor()) {
 		    if(desc.type==DimacsDescriptor::NONE) desc=dimacsType(is);
 		    if(desc.type!=DimacsDescriptor::MAX)
 		      throw FormatError("Problem type mismatch");
 		    _readDimacs(is,g,capacity,s,t,infty,desc);
+		  }
 		  /// DIMACS shortest path reader function.
+		  /// \brief DIMACS shortest path reader function.
 		  ///
 		  /// This function reads a shortest path instance from DIMACS format,
 		  /// i.e. from a DIMACS file having a line starting with
 		  /// \code
 		  ///   p sp
 		  /// \endcode
 		  /// At the beginning, \c g is cleared by \c g.clear(). The arc
 		  /// lengths are written to the \c length arc map and \c s is set to the
 		  /// source node.
 		  ///
 		  /// If the file type was previously evaluated by dimacsType(), then
 		  /// the descriptor struct should be given by the \c dest parameter.
 		  template<typename Digraph, typename LengthMap>
 		  void readDimacsSp(std::istream& is,
 		                    Digraph &g,
 		                    LengthMap& length,
 		                    typename Digraph::Node &s,
 		                    DimacsDescriptor desc=DimacsDescriptor()) {
 		    typename Digraph::Node t;
 		    if(desc.type==DimacsDescriptor::NONE) desc=dimacsType(is);
 		    if(desc.type!=DimacsDescriptor::SP)
 		      throw FormatError("Problem type mismatch");
 		    _readDimacs(is, g, length, s, t, 0, desc);
+		  }
 		  /// DIMACS capacitated digraph reader function.
+		  /// \brief DIMACS capacitated digraph reader function.
 		  ///
 		  /// This function reads an arc capacitated digraph instance from
 		  /// DIMACS 'max' or 'sp' format.
 		  /// At the beginning, \c g is cleared by \c g.clear()
 		  /// and the arc capacities/lengths are written to the \c capacity
 		  /// arc map.
 		  ///
 		  /// In case of the 'max' format, if the capacity of an arc is negative,
 		  /// it will
 		  /// be set to "infinite" instead. The actual value of "infinite" is
 		  /// contolled by the \c infty parameter. If it is 0 (the default value),
 		  /// \c std::numeric_limits<Capacity>::infinity() will be used if available,
 		  /// \c std::numeric_limits<Capacity>::max() otherwise. If \c infty is set to
 		  /// a non-zero value, that value will be used as "infinite".
 		  ///
 		  /// If the file type was previously evaluated by dimacsType(), then
 		  /// the descriptor struct should be given by the \c dest parameter.
 		  template<typename Digraph, typename CapacityMap>
 		  void readDimacsCap(std::istream& is,
 		                     Digraph &g,
 		                     CapacityMap& capacity,
 		                     typename CapacityMap::Value infty = 0,
 		                     DimacsDescriptor desc=DimacsDescriptor()) {
 		    typename Digraph::Node u,v;
 		    if(desc.type==DimacsDescriptor::NONE) desc=dimacsType(is);
 		    if(desc.type!=DimacsDescriptor::MAX || desc.type!=DimacsDescriptor::SP)
 		      throw FormatError("Problem type mismatch");
 		    _readDimacs(is, g, capacity, u, v, infty, desc);
+		  }
 		  template<typename Graph>
 		  typename enable_if<lemon::UndirectedTagIndicator<Graph>,void>::type
 		  _addArcEdge(Graph &g, typename Graph::Node s, typename Graph::Node t,
 		              dummy<0> = 0)
+		  {
 		    g.addEdge(s,t);
+		  }
 		  template<typename Graph>
 		  typename disable_if<lemon::UndirectedTagIndicator<Graph>,void>::type
 		  _addArcEdge(Graph &g, typename Graph::Node s, typename Graph::Node t,
 		              dummy<1> = 1)
+		  {
 		    g.addArc(s,t);
+		  }
 		  /// DIMACS plain (di)graph reader function.
+		  /// \brief DIMACS plain (di)graph reader function.
 		  ///
 		  /// This function reads a (di)graph without any designated nodes and
 		  /// maps from DIMACS format, i.e. from DIMACS files having a line
-		  /// starting with
+		  /// This function reads a plain (di)graph without any designated nodes
 		  /// and maps (e.g. a matching instance) from DIMACS format, i.e. from
 		  /// DIMACS files having a line starting with
 		  /// \code
 		  ///   p mat
 		  /// \endcode
 		  /// At the beginning, \c g is cleared by \c g.clear().
 		  ///
 		  /// If the file type was previously evaluated by dimacsType(), then
 		  /// the descriptor struct should be given by the \c dest parameter.
 		  template<typename Graph>
 		  void readDimacsMat(std::istream& is, Graph &g,
 		                     DimacsDescriptor desc=DimacsDescriptor())
+		  {
 		    if(desc.type==DimacsDescriptor::NONE) desc=dimacsType(is);
 		    if(desc.type!=DimacsDescriptor::MAT)
 		      throw FormatError("Problem type mismatch");
 		    g.clear();
 		    std::vector<typename Graph::Node> nodes;
 		    char c;
 		    int i, j;
 		    std::string str;
 		    nodes.resize(desc.nodeNum + 1);
 		    for (int k = 1; k <= desc.nodeNum; ++k) {
 		      nodes[k] = g.addNode();
+		    }
 		    while (is >> c) {
 		      switch (c) {
 		      case 'c': // comment line
 		        getline(is, str);
 		        break;
 		      case 'n': // node definition line
 		        break;
 		      case 'a': // arc definition line
 		        is >> i >> j;
 		        getline(is, str);
 		        _addArcEdge(g,nodes[i], nodes[j]);
 		        break;
+		      }
+		    }
+		  }
 		  /// DIMACS plain digraph writer function.
 		  ///
 		  /// This function writes a digraph without any designated nodes and
 		  /// maps into DIMACS format, i.e. into DIMACS file having a line
 		  /// starting with
 		  /// \code
 		  ///   p mat
 		  /// \endcode
 		  /// If \c comment is not empty, then it will be printed in the first line
 		  /// prefixed by 'c'.
 		  template<typename Digraph>
 		  void writeDimacsMat(std::ostream& os, const Digraph &g,
 		                      std::string comment="") {
 		    typedef typename Digraph::NodeIt NodeIt;
 		    typedef typename Digraph::ArcIt ArcIt;
 		    if(!comment.empty())
 		      os << "c " << comment << std::endl;
 		    os << "p mat " << g.nodeNum() << " " << g.arcNum() << std::endl;
 		    typename Digraph::template NodeMap<int> nodes(g);
 		    int i = 1;
 		    for(NodeIt v(g); v != INVALID; ++v) {
 		      nodes.set(v, i);
 		      ++i;
+		    }
 		    for(ArcIt e(g); e != INVALID; ++e) {
 		      os << "a " << nodes[g.source(e)] << " " << nodes[g.target(e)]
 		         << std::endl;
+		    }
+		  }
 		  /// @}
 		} //namespace lemon
 		#endif //LEMON_DIMACS_H

lemon/graph_to_eps.h

Show inline comments

 		/* -*- 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_GRAPH_TO_EPS_H
 		#define LEMON_GRAPH_TO_EPS_H
 		#include<iostream>
 		#include<fstream>
 		#include<sstream>
 		#include<algorithm>
 		#include<vector>
 		#ifndef WIN32
 		#include<sys/time.h>
 		#include<ctime>
 		#else
 		#include<lemon/bits/windows.h>
 		#endif
 		#include<lemon/math.h>
 		#include<lemon/core.h>
 		#include<lemon/dim2.h>
 		#include<lemon/maps.h>
 		#include<lemon/color.h>
 		#include<lemon/bits/bezier.h>
 		#include<lemon/error.h>
 		///\ingroup eps_io
 		///\file
 		///\brief A well configurable tool for visualizing graphs
 		namespace lemon {
 		  namespace _graph_to_eps_bits {
 		    template<class MT>
 		    class _NegY {
 		    public:
 		      typedef typename MT::Key Key;
 		      typedef typename MT::Value Value;
 		      const MT &map;
 		      int yscale;
 		      _NegY(const MT &m,bool b) : map(m), yscale(1-b*2) {}
 		      Value operator[](Key n) { return Value(map[n].x,map[n].y*yscale);}
 		    };
+		  }
 		///Default traits class of GraphToEps
 		///Default traits class of \ref GraphToEps.
 		///
 		///\param GR is the type of the underlying graph.
 		template<class GR>
 		struct DefaultGraphToEpsTraits
+		{
 		  typedef GR Graph;
 		  typedef typename Graph::Node Node;
 		  typedef typename Graph::NodeIt NodeIt;
 		  typedef typename Graph::Arc Arc;
 		  typedef typename Graph::ArcIt ArcIt;
 		  typedef typename Graph::InArcIt InArcIt;
 		  typedef typename Graph::OutArcIt OutArcIt;
 		  const Graph &g;
 		  std::ostream& os;
 		  typedef ConstMap<typename Graph::Node,dim2::Point<double> > CoordsMapType;
 		  CoordsMapType _coords;
 		  ConstMap<typename Graph::Node,double > _nodeSizes;
 		  ConstMap<typename Graph::Node,int > _nodeShapes;
 		  ConstMap<typename Graph::Node,Color > _nodeColors;
 		  ConstMap<typename Graph::Arc,Color > _arcColors;
 		  ConstMap<typename Graph::Arc,double > _arcWidths;
 		  double _arcWidthScale;
 		  double _nodeScale;
 		  double _xBorder, _yBorder;
 		  double _scale;
 		  double _nodeBorderQuotient;
 		  bool _drawArrows;
 		  double _arrowLength, _arrowWidth;
 		  bool _showNodes, _showArcs;
 		  bool _enableParallel;
 		  double _parArcDist;
 		  bool _showNodeText;
 		  ConstMap<typename Graph::Node,bool > _nodeTexts;
 		  double _nodeTextSize;
 		  bool _showNodePsText;
 		  ConstMap<typename Graph::Node,bool > _nodePsTexts;
 		  char *_nodePsTextsPreamble;
 		  bool _undirected;
 		  bool _pleaseRemoveOsStream;
 		  bool _scaleToA4;
 		  std::string _title;
 		  std::string _copyright;
 		  enum NodeTextColorType
 		    { DIST_COL=0, DIST_BW=1, CUST_COL=2, SAME_COL=3 } _nodeTextColorType;
 		  ConstMap<typename Graph::Node,Color > _nodeTextColors;
 		  bool _autoNodeScale;
 		  bool _autoArcWidthScale;
 		  bool _absoluteNodeSizes;
 		  bool _absoluteArcWidths;
 		  bool _negY;
 		  bool _preScale;
 		  ///Constructor
 		  ///Constructor
 		  ///\param gr  Reference to the graph to be printed.
 		  ///\param ost Reference to the output stream.
 		  ///By default it is <tt>std::cout</tt>.
 		  ///\param pros If it is \c true, then the \c ostream referenced by \c os
 		  ///will be explicitly deallocated by the destructor.
 		  DefaultGraphToEpsTraits(const GR &gr, std::ostream& ost = std::cout,
 		                          bool pros = false) :
 		    g(gr), os(ost),
 		    _coords(dim2::Point<double>(1,1)), _nodeSizes(1), _nodeShapes(0),
 		    _nodeColors(WHITE), _arcColors(BLACK),
 		    _arcWidths(1.0), _arcWidthScale(0.003),
 		    _nodeScale(.01), _xBorder(10), _yBorder(10), _scale(1.0),
 		    _nodeBorderQuotient(.1),
 		    _drawArrows(false), _arrowLength(1), _arrowWidth(0.3),
 		    _showNodes(true), _showArcs(true),
 		    _enableParallel(false), _parArcDist(1),
 		    _showNodeText(false), _nodeTexts(false), _nodeTextSize(1),
 		    _showNodePsText(false), _nodePsTexts(false), _nodePsTextsPreamble(0),
 		    _undirected(lemon::UndirectedTagIndicator<GR>::value),
 		    _pleaseRemoveOsStream(pros), _scaleToA4(false),
 		    _nodeTextColorType(SAME_COL), _nodeTextColors(BLACK),
 		    _autoNodeScale(false),
 		    _autoArcWidthScale(false),
 		    _absoluteNodeSizes(false),
 		    _absoluteArcWidths(false),
 		    _negY(false),
 		    _preScale(true)
 		  {}
 		};
 		///Auxiliary class to implement the named parameters of \ref graphToEps()
 		///Auxiliary class to implement the named parameters of \ref graphToEps().
 		///
 		///For detailed examples see the \ref graph_to_eps_demo.cc demo file.
 		template<class T> class GraphToEps : public T
+		{
 		  // Can't believe it is required by the C++ standard
 		  using T::g;
 		  using T::os;
 		  using T::_coords;
 		  using T::_nodeSizes;
 		  using T::_nodeShapes;
 		  using T::_nodeColors;
 		  using T::_arcColors;
 		  using T::_arcWidths;
 		  using T::_arcWidthScale;
 		  using T::_nodeScale;
 		  using T::_xBorder;
 		  using T::_yBorder;
 		  using T::_scale;
 		  using T::_nodeBorderQuotient;
 		  using T::_drawArrows;
 		  using T::_arrowLength;
 		  using T::_arrowWidth;
 		  using T::_showNodes;
 		  using T::_showArcs;
 		  using T::_enableParallel;
 		  using T::_parArcDist;
 		  using T::_showNodeText;
 		  using T::_nodeTexts;
 		  using T::_nodeTextSize;
 		  using T::_showNodePsText;
 		  using T::_nodePsTexts;
 		  using T::_nodePsTextsPreamble;
 		  using T::_undirected;
 		  using T::_pleaseRemoveOsStream;
 		  using T::_scaleToA4;
 		  using T::_title;
 		  using T::_copyright;
 		  using T::NodeTextColorType;
 		  using T::CUST_COL;
 		  using T::DIST_COL;
 		  using T::DIST_BW;
 		  using T::_nodeTextColorType;
 		  using T::_nodeTextColors;
 		  using T::_autoNodeScale;
 		  using T::_autoArcWidthScale;
 		  using T::_absoluteNodeSizes;
 		  using T::_absoluteArcWidths;
 		  using T::_negY;
 		  using T::_preScale;
 		  // dradnats ++C eht yb deriuqer si ti eveileb t'naC
 		  typedef typename T::Graph Graph;
 		  typedef typename Graph::Node Node;
 		  typedef typename Graph::NodeIt NodeIt;
 		  typedef typename Graph::Arc Arc;
 		  typedef typename Graph::ArcIt ArcIt;
 		  typedef typename Graph::InArcIt InArcIt;
 		  typedef typename Graph::OutArcIt OutArcIt;
 		  static const int INTERPOL_PREC;
 		  static const double A4HEIGHT;
 		  static const double A4WIDTH;
 		  static const double A4BORDER;
 		  bool dontPrint;
 		public:
 		  ///Node shapes
 		  ///Node shapes.
 		  ///
 		  enum NodeShapes {
 		    /// = 0
 		    ///\image html nodeshape_0.png
 		    ///\image latex nodeshape_0.eps "CIRCLE shape (0)" width=2cm
 		    CIRCLE=0,
 		    /// = 1
 		    ///\image html nodeshape_1.png
 		    ///\image latex nodeshape_1.eps "SQUARE shape (1)" width=2cm
 		    ///
 		    SQUARE=1,
 		    /// = 2
 		    ///\image html nodeshape_2.png
 		    ///\image latex nodeshape_2.eps "DIAMOND shape (2)" width=2cm
 		    ///
 		    DIAMOND=2,
 		    /// = 3
 		    ///\image html nodeshape_3.png
 		    ///\image latex nodeshape_2.eps "MALE shape (4)" width=2cm
 		    ///
 		    ///\image latex nodeshape_3.eps "MALE shape (3)" width=2cm
 		    MALE=3,
 		    /// = 4
 		    ///\image html nodeshape_4.png
 		    ///\image latex nodeshape_2.eps "FEMALE shape (4)" width=2cm
 		    ///
 		    ///\image latex nodeshape_4.eps "FEMALE shape (4)" width=2cm
 		    FEMALE=4
 		  };
 		private:
 		  class arcLess {
 		    const Graph &g;
 		  public:
 		    arcLess(const Graph &_g) : g(_g) {}
 		    bool operator()(Arc a,Arc b) const
+		    {
 		      Node ai=std::min(g.source(a),g.target(a));
 		      Node aa=std::max(g.source(a),g.target(a));
 		      Node bi=std::min(g.source(b),g.target(b));
 		      Node ba=std::max(g.source(b),g.target(b));
 		      return ai<bi ||
 		        (ai==bi && (aa < ba ||
 		                    (aa==ba && ai==g.source(a) && bi==g.target(b))));
+		    }
 		  };
 		  bool isParallel(Arc e,Arc f) const
+		  {
 		    return (g.source(e)==g.source(f)&&
 		            g.target(e)==g.target(f)) ||
 		      (g.source(e)==g.target(f)&&
 		       g.target(e)==g.source(f));
+		  }
 		  template<class TT>
 		  static std::string psOut(const dim2::Point<TT> &p)
+		    {
 		      std::ostringstream os;
 		      os << p.x << ' ' << p.y;
 		      return os.str();
+		    }
 		  static std::string psOut(const Color &c)
+		    {
 		      std::ostringstream os;
 		      os << c.red() << ' ' << c.green() << ' ' << c.blue();
 		      return os.str();
+		    }
 		public:
 		  GraphToEps(const T &t) : T(t), dontPrint(false) {};
 		  template<class X> struct CoordsTraits : public T {
 		  typedef X CoordsMapType;
 		    const X &_coords;
 		    CoordsTraits(const T &t,const X &x) : T(t), _coords(x) {}
 		  };
 		  ///Sets the map of the node coordinates
 		  ///Sets the map of the node coordinates.
 		  ///\param x must be a node map with \ref dim2::Point "dim2::Point<double>" or
 		  ///\ref dim2::Point "dim2::Point<int>" values.
 		  template<class X> GraphToEps<CoordsTraits<X> > coords(const X &x) {
 		    dontPrint=true;
 		    return GraphToEps<CoordsTraits<X> >(CoordsTraits<X>(*this,x));
+		  }
 		  template<class X> struct NodeSizesTraits : public T {
 		    const X &_nodeSizes;
 		    NodeSizesTraits(const T &t,const X &x) : T(t), _nodeSizes(x) {}
 		  };
 		  ///Sets the map of the node sizes
 		  ///Sets the map of the node sizes.
 		  ///\param x must be a node map with \c double (or convertible) values.
 		  template<class X> GraphToEps<NodeSizesTraits<X> > nodeSizes(const X &x)
+		  {
 		    dontPrint=true;
 		    return GraphToEps<NodeSizesTraits<X> >(NodeSizesTraits<X>(*this,x));
+		  }
 		  template<class X> struct NodeShapesTraits : public T {
 		    const X &_nodeShapes;
 		    NodeShapesTraits(const T &t,const X &x) : T(t), _nodeShapes(x) {}
 		  };
 		  ///Sets the map of the node shapes
 		  ///Sets the map of the node shapes.
 		  ///The available shape values
 		  ///can be found in \ref NodeShapes "enum NodeShapes".
 		  ///\param x must be a node map with \c int (or convertible) values.
 		  ///\sa NodeShapes
 		  template<class X> GraphToEps<NodeShapesTraits<X> > nodeShapes(const X &x)
+		  {
 		    dontPrint=true;
 		    return GraphToEps<NodeShapesTraits<X> >(NodeShapesTraits<X>(*this,x));
+		  }
 		  template<class X> struct NodeTextsTraits : public T {
 		    const X &_nodeTexts;
 		    NodeTextsTraits(const T &t,const X &x) : T(t), _nodeTexts(x) {}
 		  };
 		  ///Sets the text printed on the nodes
 		  ///Sets the text printed on the nodes.
 		  ///\param x must be a node map with type that can be pushed to a standard
 		  ///\c ostream.
 		  template<class X> GraphToEps<NodeTextsTraits<X> > nodeTexts(const X &x)
+		  {
 		    dontPrint=true;
 		    _showNodeText=true;
 		    return GraphToEps<NodeTextsTraits<X> >(NodeTextsTraits<X>(*this,x));
+		  }
 		  template<class X> struct NodePsTextsTraits : public T {
 		    const X &_nodePsTexts;
 		    NodePsTextsTraits(const T &t,const X &x) : T(t), _nodePsTexts(x) {}
 		  };
 		  ///Inserts a PostScript block to the nodes
 		  ///With this command it is possible to insert a verbatim PostScript
 		  ///block to the nodes.
 		  ///The PS current point will be moved to the center of the node before
 		  ///the PostScript block inserted.
 		  ///
 		  ///Before and after the block a newline character is inserted so you
 		  ///don't have to bother with the separators.
 		  ///
 		  ///\param x must be a node map with type that can be pushed to a standard
 		  ///\c ostream.
 		  ///
 		  ///\sa nodePsTextsPreamble()
 		  template<class X> GraphToEps<NodePsTextsTraits<X> > nodePsTexts(const X &x)
+		  {
 		    dontPrint=true;
 		    _showNodePsText=true;
 		    return GraphToEps<NodePsTextsTraits<X> >(NodePsTextsTraits<X>(*this,x));
+		  }
 		  template<class X> struct ArcWidthsTraits : public T {
 		    const X &_arcWidths;
 		    ArcWidthsTraits(const T &t,const X &x) : T(t), _arcWidths(x) {}
 		  };
 		  ///Sets the map of the arc widths
 		  ///Sets the map of the arc widths.
 		  ///\param x must be an arc map with \c double (or convertible) values.
 		  template<class X> GraphToEps<ArcWidthsTraits<X> > arcWidths(const X &x)
+		  {
 		    dontPrint=true;
 		    return GraphToEps<ArcWidthsTraits<X> >(ArcWidthsTraits<X>(*this,x));
+		  }
 		  template<class X> struct NodeColorsTraits : public T {
 		    const X &_nodeColors;
 		    NodeColorsTraits(const T &t,const X &x) : T(t), _nodeColors(x) {}
 		  };
 		  ///Sets the map of the node colors
 		  ///Sets the map of the node colors.
 		  ///\param x must be a node map with \ref Color values.
 		  ///
 		  ///\sa Palette
 		  template<class X> GraphToEps<NodeColorsTraits<X> >
 		  nodeColors(const X &x)
+		  {
 		    dontPrint=true;
 		    return GraphToEps<NodeColorsTraits<X> >(NodeColorsTraits<X>(*this,x));
+		  }
 		  template<class X> struct NodeTextColorsTraits : public T {
 		    const X &_nodeTextColors;
 		    NodeTextColorsTraits(const T &t,const X &x) : T(t), _nodeTextColors(x) {}
 		  };
 		  ///Sets the map of the node text colors
 		  ///Sets the map of the node text colors.
 		  ///\param x must be a node map with \ref Color values.
 		  ///
 		  ///\sa Palette
 		  template<class X> GraphToEps<NodeTextColorsTraits<X> >
 		  nodeTextColors(const X &x)
+		  {
 		    dontPrint=true;
 		    _nodeTextColorType=CUST_COL;
 		    return GraphToEps<NodeTextColorsTraits<X> >
 		      (NodeTextColorsTraits<X>(*this,x));
+		  }
 		  template<class X> struct ArcColorsTraits : public T {
 		    const X &_arcColors;
 		    ArcColorsTraits(const T &t,const X &x) : T(t), _arcColors(x) {}
 		  };
 		  ///Sets the map of the arc colors
 		  ///Sets the map of the arc colors.
 		  ///\param x must be an arc map with \ref Color values.
 		  ///
 		  ///\sa Palette
 		  template<class X> GraphToEps<ArcColorsTraits<X> >
 		  arcColors(const X &x)
+		  {
 		    dontPrint=true;
 		    return GraphToEps<ArcColorsTraits<X> >(ArcColorsTraits<X>(*this,x));
+		  }
 		  ///Sets a global scale factor for node sizes
 		  ///Sets a global scale factor for node sizes.
 		  ///
 		  /// If nodeSizes() is not given, this function simply sets the node
 		  /// sizes to \c d.  If nodeSizes() is given, but
 		  /// autoNodeScale() is not, then the node size given by
 		  /// nodeSizes() will be multiplied by the value \c d.
 		  /// If both nodeSizes() and autoNodeScale() are used, then the
 		  /// node sizes will be scaled in such a way that the greatest size will be
 		  /// equal to \c d.
 		  /// \sa nodeSizes()
 		  /// \sa autoNodeScale()
 		  GraphToEps<T> &nodeScale(double d=.01) {_nodeScale=d;return *this;}
 		  ///Turns on/off the automatic node size scaling.
 		  ///Turns on/off the automatic node size scaling.
 		  ///
 		  ///\sa nodeScale()
 		  ///
 		  GraphToEps<T> &autoNodeScale(bool b=true) {
 		    _autoNodeScale=b;return *this;
+		  }
 		  ///Turns on/off the absolutematic node size scaling.
 		  ///Turns on/off the absolutematic node size scaling.
 		  ///
 		  ///\sa nodeScale()
 		  ///
 		  GraphToEps<T> &absoluteNodeSizes(bool b=true) {
 		    _absoluteNodeSizes=b;return *this;
+		  }
 		  ///Negates the Y coordinates.
 		  GraphToEps<T> &negateY(bool b=true) {
 		    _negY=b;return *this;
+		  }
 		  ///Turn on/off pre-scaling
 		  ///By default graphToEps() rescales the whole image in order to avoid
 		  ///very big or very small bounding boxes.
 		  ///
 		  ///This (p)rescaling can be turned off with this function.
 		  ///
 		  GraphToEps<T> &preScale(bool b=true) {
 		    _preScale=b;return *this;
+		  }
 		  ///Sets a global scale factor for arc widths
 		  /// Sets a global scale factor for arc widths.
 		  ///
 		  /// If arcWidths() is not given, this function simply sets the arc
 		  /// widths to \c d.  If arcWidths() is given, but
 		  /// autoArcWidthScale() is not, then the arc withs given by
 		  /// arcWidths() will be multiplied by the value \c d.
 		  /// If both arcWidths() and autoArcWidthScale() are used, then the
 		  /// arc withs will be scaled in such a way that the greatest width will be
 		  /// equal to \c d.
 		  GraphToEps<T> &arcWidthScale(double d=.003) {_arcWidthScale=d;return *this;}
 		  ///Turns on/off the automatic arc width scaling.
 		  ///Turns on/off the automatic arc width scaling.
 		  ///
 		  ///\sa arcWidthScale()
 		  ///
 		  GraphToEps<T> &autoArcWidthScale(bool b=true) {
 		    _autoArcWidthScale=b;return *this;
+		  }
 		  ///Turns on/off the absolutematic arc width scaling.
 		  ///Turns on/off the absolutematic arc width scaling.
 		  ///
 		  ///\sa arcWidthScale()
 		  ///
 		  GraphToEps<T> &absoluteArcWidths(bool b=true) {
 		    _absoluteArcWidths=b;return *this;
+		  }
 		  ///Sets a global scale factor for the whole picture
 		  GraphToEps<T> &scale(double d) {_scale=d;return *this;}
 		  ///Sets the width of the border around the picture
 		  GraphToEps<T> &border(double b=10) {_xBorder=_yBorder=b;return *this;}
 		  ///Sets the width of the border around the picture
 		  GraphToEps<T> &border(double x, double y) {
 		    _xBorder=x;_yBorder=y;return *this;
+		  }
 		  ///Sets whether to draw arrows
 		  GraphToEps<T> &drawArrows(bool b=true) {_drawArrows=b;return *this;}
 		  ///Sets the length of the arrowheads
 		  GraphToEps<T> &arrowLength(double d=1.0) {_arrowLength*=d;return *this;}
 		  ///Sets the width of the arrowheads
 		  GraphToEps<T> &arrowWidth(double d=.3) {_arrowWidth*=d;return *this;}
 		  ///Scales the drawing to fit to A4 page
 		  GraphToEps<T> &scaleToA4() {_scaleToA4=true;return *this;}
 		  ///Enables parallel arcs
 		  GraphToEps<T> &enableParallel(bool b=true) {_enableParallel=b;return *this;}
 		  ///Sets the distance between parallel arcs
 		  GraphToEps<T> &parArcDist(double d) {_parArcDist*=d;return *this;}
 		  ///Hides the arcs
 		  GraphToEps<T> &hideArcs(bool b=true) {_showArcs=!b;return *this;}
 		  ///Hides the nodes
 		  GraphToEps<T> &hideNodes(bool b=true) {_showNodes=!b;return *this;}
 		  ///Sets the size of the node texts
 		  GraphToEps<T> &nodeTextSize(double d) {_nodeTextSize=d;return *this;}
 		  ///Sets the color of the node texts to be different from the node color
 		  ///Sets the color of the node texts to be as different from the node color
 		  ///as it is possible.
 		  GraphToEps<T> &distantColorNodeTexts()
 		  {_nodeTextColorType=DIST_COL;return *this;}
 		  ///Sets the color of the node texts to be black or white and always visible.
 		  ///Sets the color of the node texts to be black or white according to
 		  ///which is more different from the node color.
 		  GraphToEps<T> &distantBWNodeTexts()
 		  {_nodeTextColorType=DIST_BW;return *this;}
 		  ///Gives a preamble block for node Postscript block.
 		  ///Gives a preamble block for node Postscript block.
 		  ///
 		  ///\sa nodePsTexts()
 		  GraphToEps<T> & nodePsTextsPreamble(const char *str) {
 		    _nodePsTextsPreamble=str ;return *this;
+		  }
 		  ///Sets whether the graph is undirected
 		  ///Sets whether the graph is undirected.
 		  ///
 		  ///This setting is the default for undirected graphs.
 		  ///
 		  ///\sa directed()
 		   GraphToEps<T> &undirected(bool b=true) {_undirected=b;return *this;}
 		  ///Sets whether the graph is directed
 		  ///Sets whether the graph is directed.
 		  ///Use it to show the edges as a pair of directed ones.
 		  ///
 		  ///This setting is the default for digraphs.
 		  ///
 		  ///\sa undirected()
 		  GraphToEps<T> &directed(bool b=true) {_undirected=!b;return *this;}
 		  ///Sets the title.
 		  ///Sets the title of the generated image,
 		  ///namely it inserts a <tt>%%Title:</tt> DSC field to the header of
 		  ///the EPS file.
 		  GraphToEps<T> &title(const std::string &t) {_title=t;return *this;}
 		  ///Sets the copyright statement.
 		  ///Sets the copyright statement of the generated image,
 		  ///namely it inserts a <tt>%%Copyright:</tt> DSC field to the header of
 		  ///the EPS file.
 		  GraphToEps<T> &copyright(const std::string &t) {_copyright=t;return *this;}
 		protected:
 		  bool isInsideNode(dim2::Point<double> p, double r,int t)
+		  {
 		    switch(t) {
 		    case CIRCLE:
 		    case MALE:
 		    case FEMALE:
 		      return p.normSquare()<=r*r;
 		    case SQUARE:
 		      return p.x<=r&&p.x>=-r&&p.y<=r&&p.y>=-r;
 		    case DIAMOND:
 		      return p.x+p.y<=r && p.x-p.y<=r && -p.x+p.y<=r && -p.x-p.y<=r;
+		    }
 		    return false;
+		  }
 		public:
 		  ~GraphToEps() { }
 		  ///Draws the graph.
 		  ///Like other functions using
 		  ///\ref named-templ-func-param "named template parameters",
 		  ///this function calls the algorithm itself, i.e. in this case
 		  ///it draws the graph.
 		  void run() {
 		    const double EPSILON=1e-9;
 		    if(dontPrint) return;
 		    _graph_to_eps_bits::_NegY<typename T::CoordsMapType>
 		      mycoords(_coords,_negY);
 		    os << "%!PS-Adobe-2.0 EPSF-2.0\n";
 		    if(_title.size()>0) os << "%%Title: " << _title << '\n';
 		     if(_copyright.size()>0) os << "%%Copyright: " << _copyright << '\n';
 		    os << "%%Creator: LEMON, graphToEps()\n";
+		    {
 		      os << "%%CreationDate: ";
 		#ifndef WIN32
 		      timeval tv;
 		      gettimeofday(&tv, 0);
 		      char cbuf[26];
 		      ctime_r(&tv.tv_sec,cbuf);
 		      os << cbuf;
 		#else
 		      os << bits::getWinFormattedDate();
 		#endif
+		    }
 		    os << std::endl;
 		    if (_autoArcWidthScale) {
 		      double max_w=0;
 		      for(ArcIt e(g);e!=INVALID;++e)
 		        max_w=std::max(double(_arcWidths[e]),max_w);
 		      if(max_w>EPSILON) {
 		        _arcWidthScale/=max_w;
+		      }
+		    }
 		    if (_autoNodeScale) {
 		      double max_s=0;
 		      for(NodeIt n(g);n!=INVALID;++n)
 		        max_s=std::max(double(_nodeSizes[n]),max_s);
 		      if(max_s>EPSILON) {
 		        _nodeScale/=max_s;
+		      }
+		    }
 		    double diag_len = 1;
 		    if(!(_absoluteNodeSizes&&_absoluteArcWidths)) {
 		      dim2::Box<double> bb;
 		      for(NodeIt n(g);n!=INVALID;++n) bb.add(mycoords[n]);
 		      if (bb.empty()) {
 		        bb = dim2::Box<double>(dim2::Point<double>(0,0));
+		      }
 		      diag_len = std::sqrt((bb.bottomLeft()-bb.topRight()).normSquare());
 		      if(diag_len<EPSILON) diag_len = 1;
 		      if(!_absoluteNodeSizes) _nodeScale*=diag_len;
 		      if(!_absoluteArcWidths) _arcWidthScale*=diag_len;
+		    }
 		    dim2::Box<double> bb;
 		    for(NodeIt n(g);n!=INVALID;++n) {
 		      double ns=_nodeSizes[n]*_nodeScale;
 		      dim2::Point<double> p(ns,ns);
 		      switch(_nodeShapes[n]) {
 		      case CIRCLE:
 		      case SQUARE:
 		      case DIAMOND:
 		        bb.add(p+mycoords[n]);
 		        bb.add(-p+mycoords[n]);
 		        break;
 		      case MALE:
 		        bb.add(-p+mycoords[n]);
 		        bb.add(dim2::Point<double>(1.5*ns,1.5*std::sqrt(3.0)*ns)+mycoords[n]);
 		        break;
 		      case FEMALE:
 		        bb.add(p+mycoords[n]);
 		        bb.add(dim2::Point<double>(-ns,-3.01*ns)+mycoords[n]);
 		        break;
+		      }
+		    }
 		    if (bb.empty()) {
 		      bb = dim2::Box<double>(dim2::Point<double>(0,0));
+		    }
 		    if(_scaleToA4)
 		      os <<"%%BoundingBox: 0 0 596 842\n%%DocumentPaperSizes: a4\n";
 		    else {
 		      if(_preScale) {
 		        //Rescale so that BoundingBox won't be neither to big nor too small.
 		        while(bb.height()*_scale>1000||bb.width()*_scale>1000) _scale/=10;
 		        while(bb.height()*_scale<100||bb.width()*_scale<100) _scale*=10;
+		      }
 		      os << "%%BoundingBox: "
 		         << int(floor(bb.left()   * _scale - _xBorder)) << ' '
 		         << int(floor(bb.bottom() * _scale - _yBorder)) << ' '
 		         << int(ceil(bb.right()  * _scale + _xBorder)) << ' '
 		         << int(ceil(bb.top()    * _scale + _yBorder)) << '\n';
+		    }
 		    os << "%%EndComments\n";
 		    //x1 y1 x2 y2 x3 y3 cr cg cb w
 		    os << "/lb { setlinewidth setrgbcolor newpath moveto\n"
 		       << "      4 2 roll 1 index 1 index curveto stroke } bind def\n";
 		    os << "/l { setlinewidth setrgbcolor newpath moveto lineto stroke }"
 		       << " bind def\n";
 		    //x y r
 		    os << "/c { newpath dup 3 index add 2 index moveto 0 360 arc closepath }"
 		       << " bind def\n";
 		    //x y r
 		    os << "/sq { newpath 2 index 1 index add 2 index 2 index add moveto\n"
 		       << "      2 index 1 index sub 2 index 2 index add lineto\n"
 		       << "      2 index 1 index sub 2 index 2 index sub lineto\n"
 		       << "      2 index 1 index add 2 index 2 index sub lineto\n"
 		       << "      closepath pop pop pop} bind def\n";
 		    //x y r
 		    os << "/di { newpath 2 index 1 index add 2 index moveto\n"
 		       << "      2 index             2 index 2 index add lineto\n"
 		       << "      2 index 1 index sub 2 index             lineto\n"
 		       << "      2 index             2 index 2 index sub lineto\n"
 		       << "      closepath pop pop pop} bind def\n";
 		    // x y r cr cg cb
 		    os << "/nc { 0 0 0 setrgbcolor 5 index 5 index 5 index c fill\n"
 		       << "     setrgbcolor " << 1+_nodeBorderQuotient << " div c fill\n"
 		       << "   } bind def\n";
 		    os << "/nsq { 0 0 0 setrgbcolor 5 index 5 index 5 index sq fill\n"
 		       << "     setrgbcolor " << 1+_nodeBorderQuotient << " div sq fill\n"
 		       << "   } bind def\n";
 		    os << "/ndi { 0 0 0 setrgbcolor 5 index 5 index 5 index di fill\n"
 		       << "     setrgbcolor " << 1+_nodeBorderQuotient << " div di fill\n"
 		       << "   } bind def\n";
 		    os << "/nfemale { 0 0 0 setrgbcolor 3 index "
 		       << _nodeBorderQuotient/(1+_nodeBorderQuotient)
 		       << " 1.5 mul mul setlinewidth\n"
 		       << "  newpath 5 index 5 index moveto "
 		       << "5 index 5 index 5 index 3.01 mul sub\n"
 		       << "  lineto 5 index 4 index .7 mul sub 5 index 5 index 2.2 mul sub"
 		       << " moveto\n"
 		       << "  5 index 4 index .7 mul add 5 index 5 index 2.2 mul sub lineto "
 		       << "stroke\n"
 		       << "  5 index 5 index 5 index c fill\n"
 		       << "  setrgbcolor " << 1+_nodeBorderQuotient << " div c fill\n"
 		       << "  } bind def\n";
 		    os << "/nmale {\n"
 		       << "  0 0 0 setrgbcolor 3 index "
 		       << _nodeBorderQuotient/(1+_nodeBorderQuotient)
 		       <<" 1.5 mul mul setlinewidth\n"
 		       << "  newpath 5 index 5 index moveto\n"
 		       << "  5 index 4 index 1 mul 1.5 mul add\n"
 		       << "  5 index 5 index 3 sqrt 1.5 mul mul add\n"
 		       << "  1 index 1 index lineto\n"
 		       << "  1 index 1 index 7 index sub moveto\n"
 		       << "  1 index 1 index lineto\n"
 		       << "  exch 5 index 3 sqrt .5 mul mul sub exch 5 index .5 mul sub"
 		       << " lineto\n"
 		       << "  stroke\n"
 		       << "  5 index 5 index 5 index c fill\n"
 		       << "  setrgbcolor " << 1+_nodeBorderQuotient << " div c fill\n"
 		       << "  } bind def\n";
 		    os << "/arrl " << _arrowLength << " def\n";
 		    os << "/arrw " << _arrowWidth << " def\n";
 		    // l dx_norm dy_norm
 		    os << "/lrl { 2 index mul exch 2 index mul exch rlineto pop} bind def\n";
 		    //len w dx_norm dy_norm x1 y1 cr cg cb
 		    os << "/arr { setrgbcolor /y1 exch def /x1 exch def /dy exch def /dx "
 		       << "exch def\n"
 		       << "       /w exch def /len exch def\n"
 		      //<< "0.1 setlinewidth x1 y1 moveto dx len mul dy len mul rlineto stroke"
 		       << "       newpath x1 dy w 2 div mul add y1 dx w 2 div mul sub moveto\n"
 		       << "       len w sub arrl sub dx dy lrl\n"
 		       << "       arrw dy dx neg lrl\n"
 		       << "       dx arrl w add mul dy w 2 div arrw add mul sub\n"
 		       << "       dy arrl w add mul dx w 2 div arrw add mul add rlineto\n"
 		       << "       dx arrl w add mul neg dy w 2 div arrw add mul sub\n"
 		       << "       dy arrl w add mul neg dx w 2 div arrw add mul add rlineto\n"
 		       << "       arrw dy dx neg lrl\n"
 		       << "       len w sub arrl sub neg dx dy lrl\n"
 		       << "       closepath fill } bind def\n";
 		    os << "/cshow { 2 index 2 index moveto dup stringwidth pop\n"
 		       << "         neg 2 div fosi .35 mul neg rmoveto show pop pop} def\n";
 		    os << "\ngsave\n";
 		    if(_scaleToA4)
 		      if(bb.height()>bb.width()) {
 		        double sc= std::min((A4HEIGHT-2*A4BORDER)/bb.height(),
 		                  (A4WIDTH-2*A4BORDER)/bb.width());
 		        os << ((A4WIDTH -2*A4BORDER)-sc*bb.width())/2 + A4BORDER << ' '
 		           << ((A4HEIGHT-2*A4BORDER)-sc*bb.height())/2 + A4BORDER
 		           << " translate\n"
 		           << sc << " dup scale\n"
 		           << -bb.left() << ' ' << -bb.bottom() << " translate\n";
+		      }
 		      else {
 		        double sc= std::min((A4HEIGHT-2*A4BORDER)/bb.width(),
 		                  (A4WIDTH-2*A4BORDER)/bb.height());
 		        os << ((A4WIDTH -2*A4BORDER)-sc*bb.height())/2 + A4BORDER << ' '
 		           << ((A4HEIGHT-2*A4BORDER)-sc*bb.width())/2 + A4BORDER
 		           << " translate\n"
 		           << sc << " dup scale\n90 rotate\n"
 		           << -bb.left() << ' ' << -bb.top() << " translate\n";
+		        }
 		    else if(_scale!=1.0) os << _scale << " dup scale\n";
 		    if(_showArcs) {
 		      os << "%Arcs:\ngsave\n";
 		      if(_enableParallel) {
 		        std::vector<Arc> el;
 		        for(ArcIt e(g);e!=INVALID;++e)
 		          if((!_undirected||g.source(e)<g.target(e))&&_arcWidths[e]>0
 		             &&g.source(e)!=g.target(e))
 		            el.push_back(e);
 		        std::sort(el.begin(),el.end(),arcLess(g));
 		        typename std::vector<Arc>::iterator j;
 		        for(typename std::vector<Arc>::iterator i=el.begin();i!=el.end();i=j) {
 		          for(j=i+1;j!=el.end()&&isParallel(*i,*j);++j) ;
 		          double sw=0;
 		          for(typename std::vector<Arc>::iterator e=i;e!=j;++e)
 		            sw+=_arcWidths[*e]*_arcWidthScale+_parArcDist;
 		          sw-=_parArcDist;
 		          sw/=-2.0;
 		          dim2::Point<double>
 		            dvec(mycoords[g.target(*i)]-mycoords[g.source(*i)]);
 		          double l=std::sqrt(dvec.normSquare());
 		          dim2::Point<double> d(dvec/std::max(l,EPSILON));
 		          dim2::Point<double> m;
 		//           m=dim2::Point<double>(mycoords[g.target(*i)]+
 		//                                 mycoords[g.source(*i)])/2.0;
 		//            m=dim2::Point<double>(mycoords[g.source(*i)])+
 		//             dvec*(double(_nodeSizes[g.source(*i)])/
 		//                (_nodeSizes[g.source(*i)]+_nodeSizes[g.target(*i)]));
 		          m=dim2::Point<double>(mycoords[g.source(*i)])+
 		            d*(l+_nodeSizes[g.source(*i)]-_nodeSizes[g.target(*i)])/2.0;
 		          for(typename std::vector<Arc>::iterator e=i;e!=j;++e) {
 		            sw+=_arcWidths[*e]*_arcWidthScale/2.0;
 		            dim2::Point<double> mm=m+rot90(d)*sw/.75;
 		            if(_drawArrows) {
 		              int node_shape;
 		              dim2::Point<double> s=mycoords[g.source(*e)];
 		              dim2::Point<double> t=mycoords[g.target(*e)];
 		              double rn=_nodeSizes[g.target(*e)]*_nodeScale;
 		              node_shape=_nodeShapes[g.target(*e)];
 		              dim2::Bezier3 bez(s,mm,mm,t);
 		              double t1=0,t2=1;
 		              for(int ii=0;ii<INTERPOL_PREC;++ii)
 		                if(isInsideNode(bez((t1+t2)/2)-t,rn,node_shape)) t2=(t1+t2)/2;
 		                else t1=(t1+t2)/2;
 		              dim2::Point<double> apoint=bez((t1+t2)/2);
 		              rn = _arrowLength+_arcWidths[*e]*_arcWidthScale;
 		              rn*=rn;
 		              t2=(t1+t2)/2;t1=0;
 		              for(int ii=0;ii<INTERPOL_PREC;++ii)
 		                if((bez((t1+t2)/2)-apoint).normSquare()>rn) t1=(t1+t2)/2;
 		                else t2=(t1+t2)/2;
 		              dim2::Point<double> linend=bez((t1+t2)/2);
 		              bez=bez.before((t1+t2)/2);
 		//               rn=_nodeSizes[g.source(*e)]*_nodeScale;
 		//               node_shape=_nodeShapes[g.source(*e)];
 		//               t1=0;t2=1;
 		//               for(int i=0;i<INTERPOL_PREC;++i)
 		//                 if(isInsideNode(bez((t1+t2)/2)-t,rn,node_shape))
 		//                   t1=(t1+t2)/2;
 		//                 else t2=(t1+t2)/2;
 		//               bez=bez.after((t1+t2)/2);
 		              os << _arcWidths[*e]*_arcWidthScale << " setlinewidth "
 		                 << _arcColors[*e].red() << ' '
 		                 << _arcColors[*e].green() << ' '
 		                 << _arcColors[*e].blue() << " setrgbcolor newpath\n"
 		                 << bez.p1.x << ' ' <<  bez.p1.y << " moveto\n"
 		                 << bez.p2.x << ' ' << bez.p2.y << ' '
 		                 << bez.p3.x << ' ' << bez.p3.y << ' '
 		                 << bez.p4.x << ' ' << bez.p4.y << " curveto stroke\n";
 		              dim2::Point<double> dd(rot90(linend-apoint));
 		              dd*=(.5*_arcWidths[*e]*_arcWidthScale+_arrowWidth)/
 		                std::sqrt(dd.normSquare());
 		              os << "newpath " << psOut(apoint) << " moveto "
 		                 << psOut(linend+dd) << " lineto "
 		                 << psOut(linend-dd) << " lineto closepath fill\n";
+		            }
 		            else {
 		              os << mycoords[g.source(*e)].x << ' '
 		                 << mycoords[g.source(*e)].y << ' '
 		                 << mm.x << ' ' << mm.y << ' '
 		                 << mycoords[g.target(*e)].x << ' '
 		                 << mycoords[g.target(*e)].y << ' '
 		                 << _arcColors[*e].red() << ' '
 		                 << _arcColors[*e].green() << ' '
 		                 << _arcColors[*e].blue() << ' '
 		                 << _arcWidths[*e]*_arcWidthScale << " lb\n";
+		            }
 		            sw+=_arcWidths[*e]*_arcWidthScale/2.0+_parArcDist;
+		          }
+		        }
+		      }
 		      else for(ArcIt e(g);e!=INVALID;++e)
 		        if((!_undirected||g.source(e)<g.target(e))&&_arcWidths[e]>0
 		           &&g.source(e)!=g.target(e)) {
 		          if(_drawArrows) {
 		            dim2::Point<double> d(mycoords[g.target(e)]-mycoords[g.source(e)]);
 		            double rn=_nodeSizes[g.target(e)]*_nodeScale;
 		            int node_shape=_nodeShapes[g.target(e)];
 		            double t1=0,t2=1;
 		            for(int i=0;i<INTERPOL_PREC;++i)
 		              if(isInsideNode((-(t1+t2)/2)*d,rn,node_shape)) t1=(t1+t2)/2;
 		              else t2=(t1+t2)/2;
 		            double l=std::sqrt(d.normSquare());
 		            d/=l;
 		            os << l*(1-(t1+t2)/2) << ' '
 		               << _arcWidths[e]*_arcWidthScale << ' '
 		               << d.x << ' ' << d.y << ' '
 		               << mycoords[g.source(e)].x << ' '
 		               << mycoords[g.source(e)].y << ' '
 		               << _arcColors[e].red() << ' '
 		               << _arcColors[e].green() << ' '
 		               << _arcColors[e].blue() << " arr\n";
+		          }
 		          else os << mycoords[g.source(e)].x << ' '
 		                  << mycoords[g.source(e)].y << ' '
 		                  << mycoords[g.target(e)].x << ' '
 		                  << mycoords[g.target(e)].y << ' '
 		                  << _arcColors[e].red() << ' '
 		                  << _arcColors[e].green() << ' '
 		                  << _arcColors[e].blue() << ' '
 		                  << _arcWidths[e]*_arcWidthScale << " l\n";
+		        }
 		      os << "grestore\n";
+		    }
 		    if(_showNodes) {
 		      os << "%Nodes:\ngsave\n";
 		      for(NodeIt n(g);n!=INVALID;++n) {
 		        os << mycoords[n].x << ' ' << mycoords[n].y << ' '
 		           << _nodeSizes[n]*_nodeScale << ' '
 		           << _nodeColors[n].red() << ' '
 		           << _nodeColors[n].green() << ' '
 		           << _nodeColors[n].blue() << ' ';
 		        switch(_nodeShapes[n]) {
 		        case CIRCLE:
 		          os<< "nc";break;
 		        case SQUARE:
 		          os<< "nsq";break;
 		        case DIAMOND:
 		          os<< "ndi";break;
 		        case MALE:
 		          os<< "nmale";break;
 		        case FEMALE:
 		          os<< "nfemale";break;
+		        }
 		        os<<'\n';
+		      }
 		      os << "grestore\n";
+		    }
 		    if(_showNodeText) {
 		      os << "%Node texts:\ngsave\n";
 		      os << "/fosi " << _nodeTextSize << " def\n";
 		      os << "(Helvetica) findfont fosi scalefont setfont\n";
 		      for(NodeIt n(g);n!=INVALID;++n) {
 		        switch(_nodeTextColorType) {
 		        case DIST_COL:
 		          os << psOut(distantColor(_nodeColors[n])) << " setrgbcolor\n";
 		          break;
 		        case DIST_BW:
 		          os << psOut(distantBW(_nodeColors[n])) << " setrgbcolor\n";
 		          break;
 		        case CUST_COL:
 		          os << psOut(distantColor(_nodeTextColors[n])) << " setrgbcolor\n";
 		          break;
 		        default:
 		          os << "0 0 0 setrgbcolor\n";
+		        }
 		        os << mycoords[n].x << ' ' << mycoords[n].y
 		           << " (" << _nodeTexts[n] << ") cshow\n";
+		      }
 		      os << "grestore\n";
+		    }
 		    if(_showNodePsText) {
 		      os << "%Node PS blocks:\ngsave\n";
 		      for(NodeIt n(g);n!=INVALID;++n)
 		        os << mycoords[n].x << ' ' << mycoords[n].y
 		           << " moveto\n" << _nodePsTexts[n] << "\n";
 		      os << "grestore\n";
+		    }

lemon/kruskal.h

Show inline comments

 		/* -*- 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_KRUSKAL_H
 		#define LEMON_KRUSKAL_H
 		#include <algorithm>
 		#include <vector>
 		#include <lemon/unionfind.h>
 		#include <lemon/maps.h>
 		#include <lemon/core.h>
 		#include <lemon/bits/traits.h>
 		///\ingroup spantree
 		///\file
 		///\brief Kruskal's algorithm to compute a minimum cost spanning tree
 		///
 		///Kruskal's algorithm to compute a minimum cost spanning tree.
 		///
 		namespace lemon {
 		  namespace _kruskal_bits {
 		    // Kruskal for directed graphs.
 		    template <typename Digraph, typename In, typename Out>
 		    typename disable_if<lemon::UndirectedTagIndicator<Digraph>,
 		                       typename In::value_type::second_type >::type
 		    kruskal(const Digraph& digraph, const In& in, Out& out,dummy<0> = 0) {
 		      typedef typename In::value_type::second_type Value;
 		      typedef typename Digraph::template NodeMap<int> IndexMap;
 		      typedef typename Digraph::Node Node;
 		      IndexMap index(digraph);
 		      UnionFind<IndexMap> uf(index);
 		      for (typename Digraph::NodeIt it(digraph); it != INVALID; ++it) {
 		        uf.insert(it);
+		      }
 		      Value tree_value = 0;
 		      for (typename In::const_iterator it = in.begin(); it != in.end(); ++it) {
 		        if (uf.join(digraph.target(it->first),digraph.source(it->first))) {
 		          out.set(it->first, true);
 		          tree_value += it->second;
+		        }
 		        else {
 		          out.set(it->first, false);
+		        }
+		      }
 		      return tree_value;
+		    }
 		    // Kruskal for undirected graphs.
 		    template <typename Graph, typename In, typename Out>
 		    typename enable_if<lemon::UndirectedTagIndicator<Graph>,
 		                       typename In::value_type::second_type >::type
 		    kruskal(const Graph& graph, const In& in, Out& out,dummy<1> = 1) {
 		      typedef typename In::value_type::second_type Value;
 		      typedef typename Graph::template NodeMap<int> IndexMap;
 		      typedef typename Graph::Node Node;
 		      IndexMap index(graph);
 		      UnionFind<IndexMap> uf(index);
 		      for (typename Graph::NodeIt it(graph); it != INVALID; ++it) {
 		        uf.insert(it);
+		      }
 		      Value tree_value = 0;
 		      for (typename In::const_iterator it = in.begin(); it != in.end(); ++it) {
 		        if (uf.join(graph.u(it->first),graph.v(it->first))) {
 		          out.set(it->first, true);
 		          tree_value += it->second;
+		        }
 		        else {
 		          out.set(it->first, false);
+		        }
+		      }
 		      return tree_value;
+		    }
 		    template <typename Sequence>
 		    struct PairComp {
 		      typedef typename Sequence::value_type Value;
 		      bool operator()(const Value& left, const Value& right) {
 		        return left.second < right.second;
+		      }
 		    };
 		    template <typename In, typename Enable = void>
 		    struct SequenceInputIndicator {
 		      static const bool value = false;
 		    };
 		    template <typename In>
 		    struct SequenceInputIndicator<In,
 		      typename exists<typename In::value_type::first_type>::type> {
 		      static const bool value = true;
 		    };
 		    template <typename In, typename Enable = void>
 		    struct MapInputIndicator {
 		      static const bool value = false;
 		    };
 		    template <typename In>
 		    struct MapInputIndicator<In,
 		      typename exists<typename In::Value>::type> {
 		      static const bool value = true;
 		    };
 		    template <typename In, typename Enable = void>
 		    struct SequenceOutputIndicator {
 		      static const bool value = false;
 		    };
 		    template <typename Out>
 		    struct SequenceOutputIndicator<Out,
 		      typename exists<typename Out::value_type>::type> {
 		      static const bool value = true;
 		    };
 		    template <typename Out, typename Enable = void>
 		    struct MapOutputIndicator {
 		      static const bool value = false;
 		    };
 		    template <typename Out>
 		    struct MapOutputIndicator<Out,
 		      typename exists<typename Out::Value>::type> {
 		      static const bool value = true;
 		    };
 		    template <typename In, typename InEnable = void>
 		    struct KruskalValueSelector {};
 		    template <typename In>
 		    struct KruskalValueSelector<In,
 		      typename enable_if<SequenceInputIndicator<In>, void>::type>
+		    {
 		      typedef typename In::value_type::second_type Value;
 		    };
 		    template <typename In>
 		    struct KruskalValueSelector<In,
 		      typename enable_if<MapInputIndicator<In>, void>::type>
+		    {
 		      typedef typename In::Value Value;
 		    };
 		    template <typename Graph, typename In, typename Out,
 		              typename InEnable = void>
 		    struct KruskalInputSelector {};
 		    template <typename Graph, typename In, typename Out,
 		              typename InEnable = void>
 		    struct KruskalOutputSelector {};
 		    template <typename Graph, typename In, typename Out>
 		    struct KruskalInputSelector<Graph, In, Out,
 		      typename enable_if<SequenceInputIndicator<In>, void>::type >
+		    {
 		      typedef typename In::value_type::second_type Value;
 		      static Value kruskal(const Graph& graph, const In& in, Out& out) {
 		        return KruskalOutputSelector<Graph, In, Out>::
 		          kruskal(graph, in, out);
+		      }
 		    };
 		    template <typename Graph, typename In, typename Out>
 		    struct KruskalInputSelector<Graph, In, Out,
 		      typename enable_if<MapInputIndicator<In>, void>::type >
+		    {
 		      typedef typename In::Value Value;
 		      static Value kruskal(const Graph& graph, const In& in, Out& out) {
 		        typedef typename In::Key MapArc;
 		        typedef typename In::Value Value;
 		        typedef typename ItemSetTraits<Graph, MapArc>::ItemIt MapArcIt;
 		        typedef std::vector<std::pair<MapArc, Value> > Sequence;
 		        Sequence seq;
 		        for (MapArcIt it(graph); it != INVALID; ++it) {
 		          seq.push_back(std::make_pair(it, in[it]));
+		        }
 		        std::sort(seq.begin(), seq.end(), PairComp<Sequence>());
 		        return KruskalOutputSelector<Graph, Sequence, Out>::
 		          kruskal(graph, seq, out);
+		      }
 		    };
 		    template <typename T>
 		    struct RemoveConst {
 		      typedef T type;
 		    };
 		    template <typename T>
 		    struct RemoveConst<const T> {
 		      typedef T type;
 		    };
 		    template <typename Graph, typename In, typename Out>
 		    struct KruskalOutputSelector<Graph, In, Out,
 		      typename enable_if<SequenceOutputIndicator<Out>, void>::type >
+		    {
 		      typedef typename In::value_type::second_type Value;
 		      static Value kruskal(const Graph& graph, const In& in, Out& out) {
 		        typedef LoggerBoolMap<typename RemoveConst<Out>::type> Map;
 		        Map map(out);
 		        return _kruskal_bits::kruskal(graph, in, map);
+		      }
 		    };
 		    template <typename Graph, typename In, typename Out>
 		    struct KruskalOutputSelector<Graph, In, Out,
 		      typename enable_if<MapOutputIndicator<Out>, void>::type >
+		    {
 		      typedef typename In::value_type::second_type Value;
 		      static Value kruskal(const Graph& graph, const In& in, Out& out) {
 		        return _kruskal_bits::kruskal(graph, in, out);
+		      }
 		    };
+		  }
 		  /// \ingroup spantree
 		  ///
-		  /// \brief Kruskal algorithm to find a minimum cost spanning tree of
+		  /// \brief Kruskal's algorithm for finding a minimum cost spanning tree of
 		  /// a graph.
 		  ///
 		  /// This function runs Kruskal's algorithm to find a minimum cost
 		  /// spanning tree.
+		  /// spanning tree of a graph.
 		  /// Due to some C++ hacking, it accepts various input and output types.
 		  ///
 		  /// \param g The graph the algorithm runs on.
 		  /// It can be either \ref concepts::Digraph "directed" or
 		  /// \ref concepts::Graph "undirected".
 		  /// If the graph is directed, the algorithm consider it to be
 		  /// undirected by disregarding the direction of the arcs.
 		  ///
 		  /// \param in This object is used to describe the arc/edge costs.
 		  /// It can be one of the following choices.
 		  /// - An STL compatible 'Forward Container' with
 		  /// <tt>std::pair<GR::Arc,X></tt> or
 		  /// <tt>std::pair<GR::Edge,X></tt> as its <tt>value_type</tt>, where
-		  /// \c X is the type of the costs. The pairs indicates the arcs/edges
+		  /// <tt>std::pair<GR::Arc,C></tt> or
 		  /// <tt>std::pair<GR::Edge,C></tt> as its <tt>value_type</tt>, where
 		  /// \c C is the type of the costs. The pairs indicates the arcs/edges
 		  /// along with the assigned cost. <em>They must be in a
 		  /// cost-ascending order.</em>
 		  /// - Any readable arc/edge map. The values of the map indicate the
 		  /// arc/edge costs.
 		  ///
 		  /// \retval out Here we also have a choice.
 		  /// - It can be a writable \c bool arc/edge map. After running the
 		  /// algorithm it will contain the found minimum cost spanning
 		  /// - It can be a writable arc/edge map with \c bool value type. After
 		  /// running the algorithm it will contain the found minimum cost spanning
 		  /// tree: the value of an arc/edge will be set to \c true if it belongs
 		  /// to the tree, otherwise it will be set to \c false. The value of
 		  /// each arc/edge will be set exactly once.
 		  /// - It can also be an iteraror of an STL Container with
 		  /// <tt>GR::Arc</tt> or <tt>GR::Edge</tt> as its
 		  /// <tt>value_type</tt>.  The algorithm copies the elements of the
 		  /// found tree into this sequence.  For example, if we know that the
 		  /// spanning tree of the graph \c g has say 53 arcs, then we can
 		  /// put its arcs into an STL vector \c tree with a code like this.
 		  ///\code
 		  /// std::vector<Arc> tree(53);
 		  /// kruskal(g,cost,tree.begin());
 		  ///\endcode
 		  /// Or if we don't know in advance the size of the tree, we can
 		  /// write this.
 		  ///\code
 		  /// std::vector<Arc> tree;
 		  /// kruskal(g,cost,std::back_inserter(tree));
 		  ///\endcode
 		  ///
 		  /// \return The total cost of the found spanning tree.
 		  ///
 		  /// \note If the input graph is not (weakly) connected, a spanning
 		  /// forest is calculated instead of a spanning tree.
 		#ifdef DOXYGEN
 		  template <class Graph, class In, class Out>
 		  Value kruskal(GR const& g, const In& in, Out& out)
 		  template <typename Graph, typename In, typename Out>
 		  Value kruskal(const Graph& g, const In& in, Out& out)
 		#else
 		  template <class Graph, class In, class Out>
 		  inline typename _kruskal_bits::KruskalValueSelector<In>::Value
 		  kruskal(const Graph& graph, const In& in, Out& out)
 		#endif
+		  {
 		    return _kruskal_bits::KruskalInputSelector<Graph, In, Out>::
 		      kruskal(graph, in, out);
+		  }
 		  template <class Graph, class In, class Out>
 		  inline typename _kruskal_bits::KruskalValueSelector<In>::Value
 		  kruskal(const Graph& graph, const In& in, const Out& out)
+		  {
 		    return _kruskal_bits::KruskalInputSelector<Graph, In, const Out>::
 		      kruskal(graph, in, out);
+		  }
 		} //namespace lemon
 		#endif //LEMON_KRUSKAL_H

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