LEMON/LEMON-official Changeset - r768:99124ea4f048

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Changeset - r768:99124ea4f048

« 741:71939d
« 767:6e8c27

769:b52189 »

r768:99124ea4f048

Sun, 02 Aug 2009 13:44:45

[Not Reviewed]

0 comments (0 inline)

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

Merge

0 5 3

merge default

2 files changed with 2605 insertions and 13 deletions:

lemon/bucket_heap.h

567

lemon/fib_heap.h

468

lemon/radix_heap.h

433

lemon/Makefile.am

lemon/bin_heap.h

lemon/maps.h

903

test/heap_test.cc

test/maps_test.cc

188

↑ Collapse diff ↑

lemon/bucket_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.
+		 *
 		 */
 		#ifndef LEMON_BUCKET_HEAP_H
 		#define LEMON_BUCKET_HEAP_H
 		///\ingroup auxdat
 		///\file
 		///\brief Bucket Heap implementation.
 		#include <vector>
 		#include <utility>
 		#include <functional>
 		namespace lemon {
 		  namespace _bucket_heap_bits {
 		    template <bool MIN>
 		    struct DirectionTraits {
 		      static bool less(int left, int right) {
 		        return left < right;
+		      }
 		      static void increase(int& value) {
 		        ++value;
+		      }
 		    };
 		    template <>
 		    struct DirectionTraits<false> {
 		      static bool less(int left, int right) {
 		        return left > right;
+		      }
 		      static void increase(int& value) {
 		        --value;
+		      }
 		    };
+		  }
 		  /// \ingroup auxdat
 		  ///
 		  /// \brief A Bucket Heap implementation.
 		  ///
 		  /// This class implements the \e bucket \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. The bucket heap is very simple implementation, it can store
 		  /// only integer priorities and it stores for each priority in the
 		  /// \f$ [0..C) \f$ range a list of items. So it should be used only when
 		  /// the priorities are small. It is not intended to use as dijkstra heap.
 		  ///
 		  /// \param IM A read and write Item int map, used internally
 		  /// to handle the cross references.
 		  /// \param MIN If the given parameter is false then instead of the
 		  /// minimum value the maximum can be retrivied with the top() and
 		  /// prio() member functions.
 		  template <typename IM, bool MIN = true>
 		  class BucketHeap {
 		  public:
 		    /// \e
 		    typedef typename IM::Key Item;
 		    /// \e
 		    typedef int Prio;
 		    /// \e
 		    typedef std::pair<Item, Prio> Pair;
 		    /// \e
 		    typedef IM ItemIntMap;
 		  private:
 		    typedef _bucket_heap_bits::DirectionTraits<MIN> Direction;
 		  public:
 		    /// \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,    ///< = 0.
 		      PRE_HEAP = -1,  ///< = -1.
 		      POST_HEAP = -2  ///< = -2.
 		    };
 		  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
 		    /// should be PRE_HEAP (-1) for each element.
 		    explicit BucketHeap(ItemIntMap &map) : _iim(map), _minimum(0) {}
 		    /// 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 a heap 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(); _first.clear(); _minimum = 0;
+		    }
 		  private:
 		    void relocate_last(int idx) {
 		      if (idx + 1 < int(_data.size())) {
 		        _data[idx] = _data.back();
 		        if (_data[idx].prev != -1) {
 		          _data[_data[idx].prev].next = idx;
 		        } else {
 		          _first[_data[idx].value] = idx;
+		        }
 		        if (_data[idx].next != -1) {
 		          _data[_data[idx].next].prev = idx;
+		        }
 		        _iim[_data[idx].item] = idx;
+		      }
 		      _data.pop_back();
+		    }
 		    void unlace(int idx) {
 		      if (_data[idx].prev != -1) {
 		        _data[_data[idx].prev].next = _data[idx].next;
 		      } else {
 		        _first[_data[idx].value] = _data[idx].next;
+		      }
 		      if (_data[idx].next != -1) {
 		        _data[_data[idx].next].prev = _data[idx].prev;
+		      }
+		    }
 		    void lace(int idx) {
 		      if (int(_first.size()) <= _data[idx].value) {
 		        _first.resize(_data[idx].value + 1, -1);
+		      }
 		      _data[idx].next = _first[_data[idx].value];
 		      if (_data[idx].next != -1) {
 		        _data[_data[idx].next].prev = idx;
+		      }
 		      _first[_data[idx].value] = idx;
 		      _data[idx].prev = -1;
+		    }
 		  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) {
 		      push(p.first, p.second);
+		    }
 		    /// \brief Insert an item into the heap with the given priority.
 		    ///
 		    /// 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) {
 		      int idx = _data.size();
 		      _iim[i] = idx;
 		      _data.push_back(BucketItem(i, p));
 		      lace(idx);
 		      if (Direction::less(p, _minimum)) {
 		        _minimum = p;
+		      }
+		    }
 		    /// \brief Returns the item with minimum priority.
 		    ///
 		    /// This method returns the item with minimum priority.
 		    /// \pre The heap must be nonempty.
 		    Item top() const {
 		      while (_first[_minimum] == -1) {
 		        Direction::increase(_minimum);
+		      }
 		      return _data[_first[_minimum]].item;
+		    }
 		    /// \brief Returns the minimum priority.
 		    ///
 		    /// It returns the minimum priority.
 		    /// \pre The heap must be nonempty.
 		    Prio prio() const {
 		      while (_first[_minimum] == -1) {
 		        Direction::increase(_minimum);
+		      }
 		      return _minimum;
+		    }
 		    /// \brief Deletes the item with minimum priority.
 		    ///
 		    /// This method deletes the item with minimum priority from the heap.
 		    /// \pre The heap must be non-empty.
 		    void pop() {
 		      while (_first[_minimum] == -1) {
 		        Direction::increase(_minimum);
+		      }
 		      int idx = _first[_minimum];
 		      _iim[_data[idx].item] = -2;
 		      unlace(idx);
 		      relocate_last(idx);
+		    }
 		    /// \brief Deletes \c i from the heap.
 		    ///
 		    /// This method deletes item \c i from the heap, if \c i was
 		    /// already stored in the heap.
 		    /// \param i The item to erase.
 		    void erase(const Item &i) {
 		      int idx = _iim[i];
 		      _iim[_data[idx].item] = -2;
 		      unlace(idx);
 		      relocate_last(idx);
+		    }
 		    /// \brief Returns the priority of \c i.
 		    ///
 		    /// This function returns the priority of item \c i.
 		    /// \pre \c i must be in the heap.
 		    /// \param i The item.
 		    Prio operator[](const Item &i) const {
 		      int idx = _iim[i];
 		      return _data[idx].value;
+		    }
 		    /// \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 (Direction::less(p, _data[idx].value)) {
 		        decrease(i, p);
 		      } else {
 		        increase(i, p);
+		      }
+		    }
 		    /// \brief Decreases the priority of \c i to \c p.
 		    ///
 		    /// This method decreases the priority of item \c i to \c p.
 		    /// \pre \c i must be stored in the heap with priority at least \c
 		    /// p relative to \c Compare.
 		    /// \param i The item.
 		    /// \param p The priority.
 		    void decrease(const Item &i, const Prio &p) {
 		      int idx = _iim[i];
 		      unlace(idx);
 		      _data[idx].value = p;
 		      if (Direction::less(p, _minimum)) {
 		        _minimum = p;
+		      }
 		      lace(idx);
+		    }
 		    /// \brief Increases the priority of \c i to \c p.
 		    ///
 		    /// This method sets the priority of item \c i to \c p.
 		    /// \pre \c i must be stored in the heap with priority at most \c
 		    /// p relative to \c Compare.
 		    /// \param i The item.
 		    /// \param p The priority.
 		    void increase(const Item &i, const Prio &p) {
 		      int idx = _iim[i];
 		      unlace(idx);
 		      _data[idx].value = p;
 		      lace(idx);
+		    }
 		    /// \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 idx = _iim[i];
 		      if (idx >= 0) idx = 0;
 		      return State(idx);
+		    }
 		    /// \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;
+		      }
+		    }
 		  private:
 		    struct BucketItem {
 		      BucketItem(const Item& _item, int _value)
 		        : item(_item), value(_value) {}
 		      Item item;
 		      int value;
 		      int prev, next;
 		    };
 		    ItemIntMap& _iim;
 		    std::vector<int> _first;
 		    std::vector<BucketItem> _data;
 		    mutable int _minimum;
 		  }; // class BucketHeap
 		  /// \ingroup auxdat
 		  ///
 		  /// \brief A Simplified Bucket Heap implementation.
 		  ///
 		  /// This class implements a simplified \e bucket \e heap data
 		  /// structure.  It does not provide some functionality but it faster
 		  /// and simplier data structure than the BucketHeap. The main
 		  /// difference is that the BucketHeap stores for every key a double
 		  /// linked list while this class stores just simple lists. In the
 		  /// other way it does not support erasing each elements just the
 		  /// minimal and it does not supports key increasing, decreasing.
 		  ///
 		  /// \param IM A read and write Item int map, used internally
 		  /// to handle the cross references.
 		  /// \param MIN If the given parameter is false then instead of the
 		  /// minimum value the maximum can be retrivied with the top() and
 		  /// prio() member functions.
 		  ///
 		  /// \sa BucketHeap
 		  template <typename IM, bool MIN = true >
 		  class SimpleBucketHeap {
 		  public:
 		    typedef typename IM::Key Item;
 		    typedef int Prio;
 		    typedef std::pair<Item, Prio> Pair;
 		    typedef IM ItemIntMap;
 		  private:
 		    typedef _bucket_heap_bits::DirectionTraits<MIN> Direction;
 		  public:
 		    /// \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,    ///< = 0.
 		      PRE_HEAP = -1,  ///< = -1.
 		      POST_HEAP = -2  ///< = -2.
 		    };
 		  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
 		    /// should be PRE_HEAP (-1) for each element.
 		    explicit SimpleBucketHeap(ItemIntMap &map)
 		      : _iim(map), _free(-1), _num(0), _minimum(0) {}
 		    /// \brief Returns the number of items stored in the heap.
 		    ///
 		    /// The number of items stored in the heap.
 		    int size() const { return _num; }
 		    /// \brief Checks if the heap stores no items.
 		    ///
 		    /// Returns \c true if and only if the heap stores no items.
 		    bool empty() const { return _num == 0; }
 		    /// \brief Make empty this heap.
 		    ///
 		    /// Make empty this heap. It does not change the cross reference
 		    /// map.  If you want to reuse a heap 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(); _first.clear(); _free = -1; _num = 0; _minimum = 0;
+		    }
 		    /// \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) {
 		      push(p.first, p.second);
+		    }
 		    /// \brief Insert an item into the heap with the given priority.
 		    ///
 		    /// 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) {
 		      int idx;
 		      if (_free == -1) {
 		        idx = _data.size();
 		        _data.push_back(BucketItem(i));
 		      } else {
 		        idx = _free;
 		        _free = _data[idx].next;
 		        _data[idx].item = i;
+		      }
 		      _iim[i] = idx;
 		      if (p >= int(_first.size())) _first.resize(p + 1, -1);
 		      _data[idx].next = _first[p];
 		      _first[p] = idx;
 		      if (Direction::less(p, _minimum)) {
 		        _minimum = p;
+		      }
 		      ++_num;
+		    }
 		    /// \brief Returns the item with minimum priority.
 		    ///
 		    /// This method returns the item with minimum priority.
 		    /// \pre The heap must be nonempty.
 		    Item top() const {
 		      while (_first[_minimum] == -1) {
 		        Direction::increase(_minimum);
+		      }
 		      return _data[_first[_minimum]].item;
+		    }
 		    /// \brief Returns the minimum priority.
 		    ///
 		    /// It returns the minimum priority.
 		    /// \pre The heap must be nonempty.
 		    Prio prio() const {
 		      while (_first[_minimum] == -1) {
 		        Direction::increase(_minimum);
+		      }
 		      return _minimum;
+		    }
 		    /// \brief Deletes the item with minimum priority.
 		    ///
 		    /// This method deletes the item with minimum priority from the heap.
 		    /// \pre The heap must be non-empty.
 		    void pop() {
 		      while (_first[_minimum] == -1) {
 		        Direction::increase(_minimum);
+		      }
 		      int idx = _first[_minimum];
 		      _iim[_data[idx].item] = -2;
 		      _first[_minimum] = _data[idx].next;
 		      _data[idx].next = _free;
 		      _free = idx;
 		      --_num;
+		    }
 		    /// \brief Returns the priority of \c i.
 		    ///
 		    /// This function returns the priority of item \c i.
 		    /// \warning This operator is not a constant time function
 		    /// because it scans the whole data structure to find the proper
 		    /// value.
 		    /// \pre \c i must be in the heap.
 		    /// \param i The item.
 		    Prio operator[](const Item &i) const {
 		      for (int k = 0; k < _first.size(); ++k) {
 		        int idx = _first[k];
 		        while (idx != -1) {
 		          if (_data[idx].item == i) {
 		            return k;
+		          }
 		          idx = _data[idx].next;
+		        }
+		      }
 		      return -1;
+		    }
 		    /// \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 idx = _iim[i];
 		      if (idx >= 0) idx = 0;
 		      return State(idx);
+		    }
 		  private:
 		    struct BucketItem {
 		      BucketItem(const Item& _item)
 		        : item(_item) {}
 		      Item item;
 		      int next;
 		    };
 		    ItemIntMap& _iim;
 		    std::vector<int> _first;
 		    std::vector<BucketItem> _data;
 		    int _free, _num;
 		    mutable int _minimum;
 		  }; // class SimpleBucketHeap
+		}
 		#endif

lemon/fib_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.
+		 *
 		 */
 		#ifndef LEMON_FIB_HEAP_H
 		#define LEMON_FIB_HEAP_H
 		///\file
 		///\ingroup auxdat
 		///\brief Fibonacci Heap implementation.
 		#include <vector>
 		#include <functional>
 		#include <lemon/math.h>
 		namespace lemon {
 		  /// \ingroup auxdat
 		  ///
 		  ///\brief Fibonacci Heap.
 		  ///
 		  ///This class implements the \e Fibonacci \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 CMP specifies the ordering of the priorities. In a heap
 		  ///one can change the priority of an item, add or erase an item, etc.
 		  ///
 		  ///The methods \ref increase and \ref erase are not efficient in a Fibonacci
 		  ///heap. In case of many calls to these operations, it is better to use a
 		  ///\ref BinHeap "binary heap".
 		  ///
 		  ///\param PRIO Type of the priority of the items.
 		  ///\param IM A read and writable Item int map, used internally
 		  ///to handle the cross references.
 		  ///\param CMP A class for the ordering of the priorities. The
 		  ///default is \c std::less<PRIO>.
 		  ///
 		  ///\sa BinHeap
 		  ///\sa Dijkstra
 		#ifdef DOXYGEN
 		  template <typename PRIO, typename IM, typename CMP>
 		#else
 		  template <typename PRIO, typename IM, typename CMP = std::less<PRIO> >
 		#endif
 		  class FibHeap {
 		  public:
 		    ///\e
 		    typedef IM ItemIntMap;
 		    ///\e
 		    typedef PRIO Prio;
 		    ///\e
 		    typedef typename ItemIntMap::Key Item;
 		    ///\e
 		    typedef std::pair<Item,Prio> Pair;
 		    ///\e
 		    typedef CMP Compare;
 		  private:
 		    class Store;
 		    std::vector<Store> _data;
 		    int _minimum;
 		    ItemIntMap &_iim;
 		    Compare _comp;
 		    int _num;
 		  public:
 		    /// \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,    ///< = 0.
 		      PRE_HEAP = -1,  ///< = -1.
 		      POST_HEAP = -2  ///< = -2.
 		    };
 		    /// \brief The constructor
 		    ///
 		    /// \c map should be given to the constructor, since it is
 		    ///   used internally to handle the cross references.
 		    explicit FibHeap(ItemIntMap &map)
 		      : _minimum(0), _iim(map), _num() {}
 		    /// \brief The constructor
 		    ///
 		    /// \c map should be given to the constructor, since it is used
 		    /// internally to handle the cross references. \c comp is an
 		    /// object for ordering of the priorities.
 		    FibHeap(ItemIntMap &map, const Compare &comp)
 		      : _minimum(0), _iim(map), _comp(comp), _num() {}
 		    /// \brief The number of items stored in the heap.
 		    ///
 		    /// Returns the number of items stored in the heap.
 		    int size() const { return _num; }
 		    /// \brief Checks if the heap stores no items.
 		    ///
 		    ///   Returns \c true if and only if the heap stores no items.
 		    bool empty() const { return _num==0; }
 		    /// \brief Make empty this heap.
 		    ///
 		    /// Make empty this heap. It does not change the cross reference
 		    /// map.  If you want to reuse a heap 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(); _minimum = 0; _num = 0;
+		    }
 		    /// \brief \c item gets to the heap with priority \c value independently
 		    /// if \c item was already there.
 		    ///
 		    /// This method calls \ref push(\c item, \c value) if \c item is not
 		    /// stored in the heap and it calls \ref decrease(\c item, \c value) or
 		    /// \ref increase(\c item, \c value) otherwise.
 		    void set (const Item& item, const Prio& value) {
 		      int i=_iim[item];
 		      if ( i >= 0 && _data[i].in ) {
 		        if ( _comp(value, _data[i].prio) ) decrease(item, value);
 		        if ( _comp(_data[i].prio, value) ) increase(item, value);
 		      } else push(item, value);
+		    }
 		    /// \brief Adds \c item to the heap with priority \c value.
 		    ///
 		    /// Adds \c item to the heap with priority \c value.
 		    /// \pre \c item must not be stored in the heap.
 		    void push (const Item& item, const Prio& value) {
 		      int i=_iim[item];
 		      if ( i < 0 ) {
 		        int s=_data.size();
 		        _iim.set( item, s );
 		        Store st;
 		        st.name=item;
 		        _data.push_back(st);
 		        i=s;
 		      } else {
 		        _data[i].parent=_data[i].child=-1;
 		        _data[i].degree=0;
 		        _data[i].in=true;
 		        _data[i].marked=false;
+		      }
 		      if ( _num ) {
 		        _data[_data[_minimum].right_neighbor].left_neighbor=i;
 		        _data[i].right_neighbor=_data[_minimum].right_neighbor;
 		        _data[_minimum].right_neighbor=i;
 		        _data[i].left_neighbor=_minimum;
 		        if ( _comp( value, _data[_minimum].prio) ) _minimum=i;
 		      } else {
 		        _data[i].right_neighbor=_data[i].left_neighbor=i;
 		        _minimum=i;
+		      }
 		      _data[i].prio=value;
 		      ++_num;
+		    }
 		    /// \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[_minimum].name; }
 		    /// \brief Returns the minimum priority relative to \c Compare.
 		    ///
 		    /// It returns the minimum priority relative to \c Compare.
 		    /// \pre The heap must be nonempty.
 		    const Prio& prio() const { return _data[_minimum].prio; }
 		    /// \brief Returns the priority of \c item.
 		    ///
 		    /// It returns the priority of \c item.
 		    /// \pre \c item must be in the heap.
 		    const Prio& operator[](const Item& item) const {
 		      return _data[_iim[item]].prio;
+		    }
 		    /// \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() {
 		      /*The first case is that there are only one root.*/
 		      if ( _data[_minimum].left_neighbor==_minimum ) {
 		        _data[_minimum].in=false;
 		        if ( _data[_minimum].degree!=0 ) {
 		          makeroot(_data[_minimum].child);
 		          _minimum=_data[_minimum].child;
 		          balance();
+		        }
 		      } else {
 		        int right=_data[_minimum].right_neighbor;
 		        unlace(_minimum);
 		        _data[_minimum].in=false;
 		        if ( _data[_minimum].degree > 0 ) {
 		          int left=_data[_minimum].left_neighbor;
 		          int child=_data[_minimum].child;
 		          int last_child=_data[child].left_neighbor;
 		          makeroot(child);
 		          _data[left].right_neighbor=child;
 		          _data[child].left_neighbor=left;
 		          _data[right].left_neighbor=last_child;
 		          _data[last_child].right_neighbor=right;
+		        }
 		        _minimum=right;
 		        balance();
 		      } // the case where there are more roots
 		      --_num;
+		    }
 		    /// \brief Deletes \c item from the heap.
 		    ///
 		    /// This method deletes \c item from the heap, if \c item was already
 		    /// stored in the heap. It is quite inefficient in Fibonacci heaps.
 		    void erase (const Item& item) {
 		      int i=_iim[item];
 		      if ( i >= 0 && _data[i].in ) {
 		        if ( _data[i].parent!=-1 ) {
 		          int p=_data[i].parent;
 		          cut(i,p);
 		          cascade(p);
+		        }
 		        _minimum=i;     //As if its prio would be -infinity
 		        pop();
+		      }
+		    }
 		    /// \brief Decreases the priority of \c item to \c value.
 		    ///
 		    /// This method decreases the priority of \c item to \c value.
 		    /// \pre \c item must be stored in the heap with priority at least \c
 		    ///   value relative to \c Compare.
 		    void decrease (Item item, const Prio& value) {
 		      int i=_iim[item];
 		      _data[i].prio=value;
 		      int p=_data[i].parent;
 		      if ( p!=-1 && _comp(value, _data[p].prio) ) {
 		        cut(i,p);
 		        cascade(p);
+		      }
 		      if ( _comp(value, _data[_minimum].prio) ) _minimum=i;
+		    }
 		    /// \brief Increases the priority of \c item to \c value.
 		    ///
 		    /// This method sets the priority of \c item to \c value. Though
 		    /// there is no precondition on the priority of \c item, this
 		    /// method should be used only if it is indeed necessary to increase
 		    /// (relative to \c Compare) the priority of \c item, because this
 		    /// method is inefficient.
 		    void increase (Item item, const Prio& value) {
 		      erase(item);
 		      push(item, value);
+		    }
 		    /// \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.
 		    State state(const Item &item) const {
 		      int i=_iim[item];
 		      if( i>=0 ) {
 		        if ( _data[i].in ) i=0;
 		        else i=-2;
+		      }
 		      return State(i);
+		    }
 		    /// \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;
+		      }
+		    }
 		  private:
 		    void balance() {
 		      int maxdeg=int( std::floor( 2.08*log(double(_data.size()))))+1;
 		      std::vector<int> A(maxdeg,-1);
 		      /*
 		       *Recall that now minimum does not point to the minimum prio element.
 		       *We set minimum to this during balance().
 		       */
 		      int anchor=_data[_minimum].left_neighbor;
 		      int next=_minimum;
 		      bool end=false;
 		      do {
 		        int active=next;
 		        if ( anchor==active ) end=true;
 		        int d=_data[active].degree;
 		        next=_data[active].right_neighbor;
 		        while (A[d]!=-1) {
 		          if( _comp(_data[active].prio, _data[A[d]].prio) ) {
 		            fuse(active,A[d]);
 		          } else {
 		            fuse(A[d],active);
 		            active=A[d];
+		          }
 		          A[d]=-1;
 		          ++d;
+		        }
 		        A[d]=active;
 		      } while ( !end );
 		      while ( _data[_minimum].parent >=0 )
 		        _minimum=_data[_minimum].parent;
 		      int s=_minimum;
 		      int m=_minimum;
 		      do {
 		        if ( _comp(_data[s].prio, _data[_minimum].prio) ) _minimum=s;
 		        s=_data[s].right_neighbor;
 		      } while ( s != m );
+		    }
 		    void makeroot(int c) {
 		      int s=c;
 		      do {
 		        _data[s].parent=-1;
 		        s=_data[s].right_neighbor;
 		      } while ( s != c );
+		    }
 		    void cut(int a, int b) {
 		      /*
 		       *Replacing a from the children of b.
 		       */
 		      --_data[b].degree;
 		      if ( _data[b].degree !=0 ) {
 		        int child=_data[b].child;
 		        if ( child==a )
 		          _data[b].child=_data[child].right_neighbor;
 		        unlace(a);
+		      }
 		      /*Lacing a to the roots.*/
 		      int right=_data[_minimum].right_neighbor;
 		      _data[_minimum].right_neighbor=a;
 		      _data[a].left_neighbor=_minimum;
 		      _data[a].right_neighbor=right;
 		      _data[right].left_neighbor=a;
 		      _data[a].parent=-1;
 		      _data[a].marked=false;
+		    }
 		    void cascade(int a) {
 		      if ( _data[a].parent!=-1 ) {
 		        int p=_data[a].parent;
 		        if ( _data[a].marked==false ) _data[a].marked=true;
 		        else {
 		          cut(a,p);
 		          cascade(p);
+		        }
+		      }
+		    }
 		    void fuse(int a, int b) {
 		      unlace(b);
 		      /*Lacing b under a.*/
 		      _data[b].parent=a;
 		      if (_data[a].degree==0) {
 		        _data[b].left_neighbor=b;
 		        _data[b].right_neighbor=b;
 		        _data[a].child=b;
 		      } else {
 		        int child=_data[a].child;
 		        int last_child=_data[child].left_neighbor;
 		        _data[child].left_neighbor=b;
 		        _data[b].right_neighbor=child;
 		        _data[last_child].right_neighbor=b;
 		        _data[b].left_neighbor=last_child;
+		      }
 		      ++_data[a].degree;
 		      _data[b].marked=false;
+		    }
 		    /*
 		     *It is invoked only if a has siblings.
 		     */
 		    void unlace(int a) {
 		      int leftn=_data[a].left_neighbor;
 		      int rightn=_data[a].right_neighbor;
 		      _data[leftn].right_neighbor=rightn;
 		      _data[rightn].left_neighbor=leftn;
+		    }
 		    class Store {
 		      friend class FibHeap;
 		      Item name;
 		      int parent;
 		      int left_neighbor;
 		      int right_neighbor;
 		      int child;
 		      int degree;
 		      bool marked;
 		      bool in;
 		      Prio prio;
 		      Store() : parent(-1), child(-1), degree(), marked(false), in(true) {}
 		    };
 		  };
 		} //namespace lemon
 		#endif //LEMON_FIB_HEAP_H

lemon/radix_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.
+		 *
 		 */
 		#ifndef LEMON_RADIX_HEAP_H
 		#define LEMON_RADIX_HEAP_H
 		///\ingroup auxdat
 		///\file
 		///\brief Radix Heap implementation.
 		#include <vector>
 		#include <lemon/error.h>
 		namespace lemon {
 		  /// \ingroup auxdata
 		  ///
 		  /// \brief A Radix Heap implementation.
 		  ///
 		  /// This class implements the \e radix \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. This heap type can store only items with \e int priority.
 		  /// In a heap one can change the priority of an item, add or erase an
 		  /// item, but the priority cannot be decreased under the last removed
 		  /// item's priority.
 		  ///
 		  /// \param IM A read and writable Item int map, used internally
 		  /// to handle the cross references.
 		  ///
 		  /// \see BinHeap
 		  /// \see Dijkstra
 		  template <typename IM>
 		  class RadixHeap {
 		  public:
 		    typedef typename IM::Key Item;
 		    typedef int Prio;
 		    typedef IM ItemIntMap;
 		    /// \brief Exception thrown by RadixHeap.
 		    ///
 		    /// This Exception is thrown when a smaller priority
 		    /// is inserted into the \e RadixHeap then the last time erased.
 		    /// \see RadixHeap
 		    class UnderFlowPriorityError : public Exception {
 		    public:
 		      virtual const char* what() const throw() {
 		        return "lemon::RadixHeap::UnderFlowPriorityError";
+		      }
 		    };
 		    /// \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 ItemIntMap \e should be initialized in such way that it maps
 		    /// PRE_HEAP (-1) to any element to be put in the heap...
 		    enum State {
 		      IN_HEAP = 0,
 		      PRE_HEAP = -1,
 		      POST_HEAP = -2
 		    };
 		  private:
 		    struct RadixItem {
 		      int prev, next, box;
 		      Item item;
 		      int prio;
 		      RadixItem(Item _item, int _prio) : item(_item), prio(_prio) {}
 		    };
 		    struct RadixBox {
 		      int first;
 		      int min, size;
 		      RadixBox(int _min, int _size) : first(-1), min(_min), size(_size) {}
 		    };
 		    std::vector<RadixItem> data;
 		    std::vector<RadixBox> boxes;
 		    ItemIntMap &_iim;
 		  public:
 		    /// \brief The constructor.
 		    ///
 		    /// The constructor.
 		    ///
 		    /// \param map It 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 minimal The initial minimal value of the heap.
 		    /// \param capacity It determines the initial capacity of the heap.
 		    RadixHeap(ItemIntMap &map, int minimal = 0, int capacity = 0)
 		      : _iim(map) {
 		      boxes.push_back(RadixBox(minimal, 1));
 		      boxes.push_back(RadixBox(minimal + 1, 1));
 		      while (lower(boxes.size() - 1, capacity + minimal - 1)) {
 		        extend();
+		      }
+		    }
 		    /// 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 a heap 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(int minimal = 0, int capacity = 0) {
 		      data.clear(); boxes.clear();
 		      boxes.push_back(RadixBox(minimal, 1));
 		      boxes.push_back(RadixBox(minimal + 1, 1));
 		      while (lower(boxes.size() - 1, capacity + minimal - 1)) {
 		        extend();
+		      }
+		    }
 		  private:
 		    bool upper(int box, Prio pr) {
 		      return pr < boxes[box].min;
+		    }
 		    bool lower(int box, Prio pr) {
 		      return pr >= boxes[box].min + boxes[box].size;
+		    }
 		    /// \brief Remove item from the box list.
 		    void remove(int index) {
 		      if (data[index].prev >= 0) {
 		        data[data[index].prev].next = data[index].next;
 		      } else {
 		        boxes[data[index].box].first = data[index].next;
+		      }
 		      if (data[index].next >= 0) {
 		        data[data[index].next].prev = data[index].prev;
+		      }
+		    }
 		    /// \brief Insert item into the box list.
 		    void insert(int box, int index) {
 		      if (boxes[box].first == -1) {
 		        boxes[box].first = index;
 		        data[index].next = data[index].prev = -1;
 		      } else {
 		        data[index].next = boxes[box].first;
 		        data[boxes[box].first].prev = index;
 		        data[index].prev = -1;
 		        boxes[box].first = index;
+		      }
 		      data[index].box = box;
+		    }
 		    /// \brief Add a new box to the box list.
 		    void extend() {
 		      int min = boxes.back().min + boxes.back().size;
 		      int bs = 2 * boxes.back().size;
 		      boxes.push_back(RadixBox(min, bs));
+		    }
 		    /// \brief Move an item up into the proper box.
 		    void bubble_up(int index) {
 		      if (!lower(data[index].box, data[index].prio)) return;
 		      remove(index);
 		      int box = findUp(data[index].box, data[index].prio);
 		      insert(box, index);
+		    }
 		    /// \brief Find up the proper box for the item with the given prio.
 		    int findUp(int start, int pr) {
 		      while (lower(start, pr)) {
 		        if (++start == int(boxes.size())) {
 		          extend();
+		        }
+		      }
 		      return start;
+		    }
 		    /// \brief Move an item down into the proper box.
 		    void bubble_down(int index) {
 		      if (!upper(data[index].box, data[index].prio)) return;
 		      remove(index);
 		      int box = findDown(data[index].box, data[index].prio);
 		      insert(box, index);
+		    }
 		    /// \brief Find up the proper box for the item with the given prio.
 		    int findDown(int start, int pr) {
 		      while (upper(start, pr)) {
 		        if (--start < 0) throw UnderFlowPriorityError();
+		      }
 		      return start;
+		    }
 		    /// \brief Find the first not empty box.
 		    int findFirst() {
 		      int first = 0;
 		      while (boxes[first].first == -1) ++first;
 		      return first;
+		    }
 		    /// \brief Gives back the minimal prio of the box.
 		    int minValue(int box) {
 		      int min = data[boxes[box].first].prio;
 		      for (int k = boxes[box].first; k != -1; k = data[k].next) {
 		        if (data[k].prio < min) min = data[k].prio;
+		      }
 		      return min;
+		    }
 		    /// \brief Rearrange the items of the heap and makes the
 		    /// first box not empty.
 		    void moveDown() {
 		      int box = findFirst();
 		      if (box == 0) return;
 		      int min = minValue(box);
 		      for (int i = 0; i <= box; ++i) {
 		        boxes[i].min = min;
 		        min += boxes[i].size;
+		      }
 		      int curr = boxes[box].first, next;
 		      while (curr != -1) {
 		        next = data[curr].next;
 		        bubble_down(curr);
 		        curr = next;
+		      }
+		    }
 		    void relocate_last(int index) {
 		      if (index != int(data.size()) - 1) {
 		        data[index] = data.back();
 		        if (data[index].prev != -1) {
 		          data[data[index].prev].next = index;
 		        } else {
 		          boxes[data[index].box].first = index;
+		        }
 		        if (data[index].next != -1) {
 		          data[data[index].next].prev = index;
+		        }
 		        _iim[data[index].item] = index;
+		      }
 		      data.pop_back();
+		    }
 		  public:
 		    /// \brief Insert an item into the heap with the given priority.
 		    ///
 		    /// 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) {
 		      int n = data.size();
 		      _iim.set(i, n);
 		      data.push_back(RadixItem(i, p));
 		      while (lower(boxes.size() - 1, p)) {
 		        extend();
+		      }
 		      int box = findDown(boxes.size() - 1, p);
 		      insert(box, n);
+		    }
 		    /// \brief Returns the item with minimum priority.
 		    ///
 		    /// This method returns the item with minimum priority.
 		    /// \pre The heap must be nonempty.
 		    Item top() const {
 		      const_cast<RadixHeap<ItemIntMap>&>(*this).moveDown();
 		      return data[boxes[0].first].item;
+		    }
 		    /// \brief Returns the minimum priority.
 		    ///
 		    /// It returns the minimum priority.
 		    /// \pre The heap must be nonempty.
 		    Prio prio() const {
 		      const_cast<RadixHeap<ItemIntMap>&>(*this).moveDown();
 		      return data[boxes[0].first].prio;
+		     }
 		    /// \brief Deletes the item with minimum priority.
 		    ///
 		    /// This method deletes the item with minimum priority.
 		    /// \pre The heap must be non-empty.
 		    void pop() {
 		      moveDown();
 		      int index = boxes[0].first;
 		      _iim[data[index].item] = POST_HEAP;
 		      remove(index);
 		      relocate_last(index);
+		    }
 		    /// \brief Deletes \c i from the heap.
 		    ///
 		    /// This method deletes item \c i from the heap, if \c i was
 		    /// already stored in the heap.
 		    /// \param i The item to erase.
 		    void erase(const Item &i) {
 		      int index = _iim[i];
 		      _iim[i] = POST_HEAP;
 		      remove(index);
 		      relocate_last(index);
+		   }
 		    /// \brief Returns the priority of \c i.
 		    ///
 		    /// This function returns the priority of item \c i.
 		    /// \pre \c i must be in the heap.
 		    /// \param i The item.
 		    Prio operator[](const Item &i) const {
 		      int idx = _iim[i];
 		      return data[idx].prio;
+		    }
 		    /// \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.
 		    /// It may throw an \e UnderFlowPriorityException.
 		    /// \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( p >= data[idx].prio ) {
 		        data[idx].prio = p;
 		        bubble_up(idx);
 		      } else {
 		        data[idx].prio = p;
 		        bubble_down(idx);
+		      }
+		    }
 		    /// \brief Decreases the priority of \c i to \c p.
 		    ///
 		    /// This method decreases the priority of item \c i to \c p.
 		    /// \pre \c i must be stored in the heap with priority at least \c p, and
 		    /// \c should be greater or equal to the last removed item's priority.
 		    /// \param i The item.
 		    /// \param p The priority.
 		    void decrease(const Item &i, const Prio &p) {
 		      int idx = _iim[i];
 		      data[idx].prio = p;
 		      bubble_down(idx);
+		    }
 		    /// \brief Increases the priority of \c i to \c p.
 		    ///
 		    /// This method sets the priority of item \c i to \c p.
 		    /// \pre \c i must be stored in the heap with priority at most \c p
 		    /// \param i The item.
 		    /// \param p The priority.
 		    void increase(const Item &i, const Prio &p) {
 		      int idx = _iim[i];
 		      data[idx].prio = p;
 		      bubble_up(idx);
+		    }
 		    /// \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;
+		      }
+		    }
 		  }; // class RadixHeap
 		} // namespace lemon
 		#endif // LEMON_RADIX_HEAP_H

lemon/Makefile.am

Show inline comments

 		EXTRA_DIST += \
 			lemon/lemon.pc.in \
 			lemon/CMakeLists.txt \
 			lemon/config.h.cmake
 		pkgconfig_DATA += lemon/lemon.pc
 		lib_LTLIBRARIES += lemon/libemon.la
 		lemon_libemon_la_SOURCES = \
 			lemon/arg_parser.cc \
 			lemon/base.cc \
 			lemon/color.cc \
 			lemon/lp_base.cc \
 			lemon/lp_skeleton.cc \
 			lemon/random.cc \
 			lemon/bits/windows.cc
 		nodist_lemon_HEADERS = lemon/config.h
 		lemon_libemon_la_CXXFLAGS = \
 			$(AM_CXXFLAGS) \
 			$(GLPK_CFLAGS) \
 			$(CPLEX_CFLAGS) \
 			$(SOPLEX_CXXFLAGS) \
 			$(CLP_CXXFLAGS) \
 			$(CBC_CXXFLAGS)
 		lemon_libemon_la_LDFLAGS = \
 			$(GLPK_LIBS) \
 			$(CPLEX_LIBS) \
 			$(SOPLEX_LIBS) \
 			$(CLP_LIBS) \
 			$(CBC_LIBS)
 		if HAVE_GLPK
 		lemon_libemon_la_SOURCES += lemon/glpk.cc
 		endif
 		if HAVE_CPLEX
 		lemon_libemon_la_SOURCES += lemon/cplex.cc
 		endif
 		if HAVE_SOPLEX
 		lemon_libemon_la_SOURCES += lemon/soplex.cc
 		endif
 		if HAVE_CLP
 		lemon_libemon_la_SOURCES += lemon/clp.cc
 		endif
 		if HAVE_CBC
 		lemon_libemon_la_SOURCES += lemon/cbc.cc
 		endif
 		lemon_HEADERS += \
 			lemon/adaptors.h \
 			lemon/arg_parser.h \
 			lemon/assert.h \
 			lemon/bfs.h \
 			lemon/bin_heap.h \
 			lemon/bucket_heap.h \
 			lemon/cbc.h \
 			lemon/circulation.h \
 			lemon/clp.h \
 			lemon/color.h \
 			lemon/concept_check.h \
 			lemon/connectivity.h \
 			lemon/counter.h \
 			lemon/core.h \
 			lemon/cplex.h \
 			lemon/dfs.h \
 			lemon/dijkstra.h \
 			lemon/dim2.h \
 			lemon/dimacs.h \
 			lemon/edge_set.h \
 			lemon/elevator.h \
 			lemon/error.h \
 			lemon/euler.h \
 			lemon/fib_heap.h \
 			lemon/full_graph.h \
 			lemon/glpk.h \
 			lemon/gomory_hu.h \
 			lemon/graph_to_eps.h \
 			lemon/grid_graph.h \
 			lemon/hypercube_graph.h \
 			lemon/kruskal.h \
 			lemon/hao_orlin.h \
 			lemon/lgf_reader.h \
 			lemon/lgf_writer.h \
 			lemon/list_graph.h \
 			lemon/lp.h \
 			lemon/lp_base.h \
 			lemon/lp_skeleton.h \
 			lemon/list_graph.h \
 			lemon/maps.h \
 			lemon/matching.h \
 			lemon/math.h \
 			lemon/min_cost_arborescence.h \
 			lemon/nauty_reader.h \
 			lemon/network_simplex.h \
 			lemon/path.h \
 			lemon/preflow.h \
 			lemon/radix_heap.h \
 			lemon/radix_sort.h \
 			lemon/random.h \
 			lemon/smart_graph.h \
 			lemon/soplex.h \
 			lemon/suurballe.h \
 			lemon/time_measure.h \
 			lemon/tolerance.h \
 			lemon/unionfind.h \
 			lemon/bits/windows.h
 		bits_HEADERS += \
 			lemon/bits/alteration_notifier.h \
 			lemon/bits/array_map.h \
 			lemon/bits/bezier.h \
 			lemon/bits/default_map.h \
 			lemon/bits/edge_set_extender.h \
 			lemon/bits/enable_if.h \
 			lemon/bits/graph_adaptor_extender.h \
 			lemon/bits/graph_extender.h \
 			lemon/bits/map_extender.h \
 			lemon/bits/path_dump.h \
 			lemon/bits/solver_bits.h \
 			lemon/bits/traits.h \
 			lemon/bits/variant.h \
 			lemon/bits/vector_map.h
 		concept_HEADERS += \
 			lemon/concepts/digraph.h \
 			lemon/concepts/graph.h \
 			lemon/concepts/graph_components.h \
 			lemon/concepts/heap.h \
 			lemon/concepts/maps.h \
 			lemon/concepts/path.h

lemon/bin_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.
+		 *
 		 */
 		#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.
 		  ///
 		  ///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.
+		  ///priority is efficient. \c CMP 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.
+		  ///\tparam CMP 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> >
+		  template <typename PR, typename IM, typename CMP = 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;
+		    typedef CMP 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,    ///< = 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/maps.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_MAPS_H
 		#define LEMON_MAPS_H
 		#include <iterator>
 		#include <functional>
 		#include <vector>
 		#include <map>
 		#include <lemon/core.h>
 		///\file
 		///\ingroup maps
 		///\brief Miscellaneous property maps
 		#include <map>
 		namespace lemon {
 		  /// \addtogroup maps
 		  /// @{
 		  /// Base class of maps.
 		  /// Base class of maps. It provides the necessary type definitions
 		  /// required by the map %concepts.
 		  template<typename K, typename V>
 		  class MapBase {
 		  public:
 		    /// \brief The key type of the map.
 		    typedef K Key;
 		    /// \brief The value type of the map.
 		    /// (The type of objects associated with the keys).
 		    typedef V Value;
 		  };
 		  /// Null map. (a.k.a. DoNothingMap)
 		  /// This map can be used if you have to provide a map only for
 		  /// its type definitions, or if you have to provide a writable map,
 		  /// but data written to it is not required (i.e. it will be sent to
 		  /// <tt>/dev/null</tt>).
 		  /// It conforms the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		  ///
 		  /// \sa ConstMap
 		  template<typename K, typename V>
 		  class NullMap : public MapBase<K, V> {
 		  public:
 		    ///\e
 		    typedef K Key;
 		    ///\e
 		    typedef V Value;
 		    /// Gives back a default constructed element.
 		    Value operator[](const Key&) const { return Value(); }
 		    /// Absorbs the value.
 		    void set(const Key&, const Value&) {}
 		  };
 		  /// Returns a \c NullMap class
 		  /// This function just returns a \c NullMap class.
 		  /// \relates NullMap
 		  template <typename K, typename V>
 		  NullMap<K, V> nullMap() {
 		    return NullMap<K, V>();
+		  }
 		  /// Constant map.
 		  /// This \ref concepts::ReadMap "readable map" assigns a specified
 		  /// value to each key.
 		  ///
 		  /// In other aspects it is equivalent to \c NullMap.
 		  /// So it conforms the \ref concepts::ReadWriteMap "ReadWriteMap"
 		  /// concept, but it absorbs the data written to it.
 		  ///
 		  /// The simplest way of using this map is through the constMap()
 		  /// function.
 		  ///
 		  /// \sa NullMap
 		  /// \sa IdentityMap
 		  template<typename K, typename V>
 		  class ConstMap : public MapBase<K, V> {
 		  private:
 		    V _value;
 		  public:
 		    ///\e
 		    typedef K Key;
 		    ///\e
 		    typedef V Value;
 		    /// Default constructor
 		    /// Default constructor.
 		    /// The value of the map will be default constructed.
 		    ConstMap() {}
 		    /// Constructor with specified initial value
 		    /// Constructor with specified initial value.
 		    /// \param v The initial value of the map.
 		    ConstMap(const Value &v) : _value(v) {}
 		    /// Gives back the specified value.
 		    Value operator[](const Key&) const { return _value; }
 		    /// Absorbs the value.
 		    void set(const Key&, const Value&) {}
 		    /// Sets the value that is assigned to each key.
 		    void setAll(const Value &v) {
 		      _value = v;
+		    }
 		    template<typename V1>
 		    ConstMap(const ConstMap<K, V1> &, const Value &v) : _value(v) {}
 		  };
 		  /// Returns a \c ConstMap class
 		  /// This function just returns a \c ConstMap class.
 		  /// \relates ConstMap
 		  template<typename K, typename V>
 		  inline ConstMap<K, V> constMap(const V &v) {
 		    return ConstMap<K, V>(v);
+		  }
 		  template<typename K, typename V>
 		  inline ConstMap<K, V> constMap() {
 		    return ConstMap<K, V>();
+		  }
 		  template<typename T, T v>
 		  struct Const {};
 		  /// Constant map with inlined constant value.
 		  /// This \ref concepts::ReadMap "readable map" assigns a specified
 		  /// value to each key.
 		  ///
 		  /// In other aspects it is equivalent to \c NullMap.
 		  /// So it conforms the \ref concepts::ReadWriteMap "ReadWriteMap"
 		  /// concept, but it absorbs the data written to it.
 		  ///
 		  /// The simplest way of using this map is through the constMap()
 		  /// function.
 		  ///
 		  /// \sa NullMap
 		  /// \sa IdentityMap
 		  template<typename K, typename V, V v>
 		  class ConstMap<K, Const<V, v> > : public MapBase<K, V> {
 		  public:
 		    ///\e
 		    typedef K Key;
 		    ///\e
 		    typedef V Value;
 		    /// Constructor.
 		    ConstMap() {}
 		    /// Gives back the specified value.
 		    Value operator[](const Key&) const { return v; }
 		    /// Absorbs the value.
 		    void set(const Key&, const Value&) {}
 		  };
 		  /// Returns a \c ConstMap class with inlined constant value
 		  /// This function just returns a \c ConstMap class with inlined
 		  /// constant value.
 		  /// \relates ConstMap
 		  template<typename K, typename V, V v>
 		  inline ConstMap<K, Const<V, v> > constMap() {
 		    return ConstMap<K, Const<V, v> >();
+		  }
 		  /// Identity map.
 		  /// This \ref concepts::ReadMap "read-only map" gives back the given
 		  /// key as value without any modification.
 		  ///
 		  /// \sa ConstMap
 		  template <typename T>
 		  class IdentityMap : public MapBase<T, T> {
 		  public:
 		    ///\e
 		    typedef T Key;
 		    ///\e
 		    typedef T Value;
 		    /// Gives back the given value without any modification.
 		    Value operator[](const Key &k) const {
 		      return k;
+		    }
 		  };
 		  /// Returns an \c IdentityMap class
 		  /// This function just returns an \c IdentityMap class.
 		  /// \relates IdentityMap
 		  template<typename T>
 		  inline IdentityMap<T> identityMap() {
 		    return IdentityMap<T>();
+		  }
 		  /// \brief Map for storing values for integer keys from the range
 		  /// <tt>[0..size-1]</tt>.
 		  ///
 		  /// This map is essentially a wrapper for \c std::vector. It assigns
 		  /// values to integer keys from the range <tt>[0..size-1]</tt>.
 		  /// It can be used with some data structures, for example
 		  /// \c UnionFind, \c BinHeap, when the used items are small
 		  /// integers. This map conforms the \ref concepts::ReferenceMap
 		  /// "ReferenceMap" concept.
 		  ///
 		  /// The simplest way of using this map is through the rangeMap()
 		  /// function.
 		  template <typename V>
 		  class RangeMap : public MapBase<int, V> {
 		    template <typename V1>
 		    friend class RangeMap;
 		  private:
 		    typedef std::vector<V> Vector;
 		    Vector _vector;
 		  public:
 		    /// Key type
 		    typedef int Key;
 		    /// Value type
 		    typedef V Value;
 		    /// Reference type
 		    typedef typename Vector::reference Reference;
 		    /// Const reference type
 		    typedef typename Vector::const_reference ConstReference;
 		    typedef True ReferenceMapTag;
 		  public:
 		    /// Constructor with specified default value.
 		    RangeMap(int size = 0, const Value &value = Value())
 		      : _vector(size, value) {}
 		    /// Constructs the map from an appropriate \c std::vector.
 		    template <typename V1>
 		    RangeMap(const std::vector<V1>& vector)
 		      : _vector(vector.begin(), vector.end()) {}
 		    /// Constructs the map from another \c RangeMap.
 		    template <typename V1>
 		    RangeMap(const RangeMap<V1> &c)
 		      : _vector(c._vector.begin(), c._vector.end()) {}
 		    /// Returns the size of the map.
 		    int size() {
 		      return _vector.size();
+		    }
 		    /// Resizes the map.
 		    /// Resizes the underlying \c std::vector container, so changes the
 		    /// keyset of the map.
 		    /// \param size The new size of the map. The new keyset will be the
 		    /// range <tt>[0..size-1]</tt>.
 		    /// \param value The default value to assign to the new keys.
 		    void resize(int size, const Value &value = Value()) {
 		      _vector.resize(size, value);
+		    }
 		  private:
 		    RangeMap& operator=(const RangeMap&);
 		  public:
 		    ///\e
 		    Reference operator[](const Key &k) {
 		      return _vector[k];
+		    }
 		    ///\e
 		    ConstReference operator[](const Key &k) const {
 		      return _vector[k];
+		    }
 		    ///\e
 		    void set(const Key &k, const Value &v) {
 		      _vector[k] = v;
+		    }
 		  };
 		  /// Returns a \c RangeMap class
 		  /// This function just returns a \c RangeMap class.
 		  /// \relates RangeMap
 		  template<typename V>
 		  inline RangeMap<V> rangeMap(int size = 0, const V &value = V()) {
 		    return RangeMap<V>(size, value);
+		  }
 		  /// \brief Returns a \c RangeMap class created from an appropriate
 		  /// \c std::vector
 		  /// This function just returns a \c RangeMap class created from an
 		  /// appropriate \c std::vector.
 		  /// \relates RangeMap
 		  template<typename V>
 		  inline RangeMap<V> rangeMap(const std::vector<V> &vector) {
 		    return RangeMap<V>(vector);
+		  }
 		  /// Map type based on \c std::map
 		  /// This map is essentially a wrapper for \c std::map with addition
 		  /// that you can specify a default value for the keys that are not
 		  /// stored actually. This value can be different from the default
 		  /// contructed value (i.e. \c %Value()).
 		  /// This type conforms the \ref concepts::ReferenceMap "ReferenceMap"
 		  /// concept.
 		  ///
 		  /// This map is useful if a default value should be assigned to most of
 		  /// the keys and different values should be assigned only to a few
 		  /// keys (i.e. the map is "sparse").
 		  /// The name of this type also refers to this important usage.
 		  ///
 		  /// Apart form that this map can be used in many other cases since it
 		  /// is based on \c std::map, which is a general associative container.
 		  /// However keep in mind that it is usually not as efficient as other
 		  /// maps.
 		  ///
 		  /// The simplest way of using this map is through the sparseMap()
 		  /// function.
 		  template <typename K, typename V, typename Comp = std::less<K> >
 		  class SparseMap : public MapBase<K, V> {
 		    template <typename K1, typename V1, typename C1>
 		    friend class SparseMap;
 		  public:
 		    /// Key type
 		    typedef K Key;
 		    /// Value type
 		    typedef V Value;
 		    /// Reference type
 		    typedef Value& Reference;
 		    /// Const reference type
 		    typedef const Value& ConstReference;
 		    typedef True ReferenceMapTag;
 		  private:
 		    typedef std::map<K, V, Comp> Map;
 		    Map _map;
 		    Value _value;
 		  public:
 		    /// \brief Constructor with specified default value.
 		    SparseMap(const Value &value = Value()) : _value(value) {}
 		    /// \brief Constructs the map from an appropriate \c std::map, and
 		    /// explicitly specifies a default value.
 		    template <typename V1, typename Comp1>
 		    SparseMap(const std::map<Key, V1, Comp1> &map,
 		              const Value &value = Value())
 		      : _map(map.begin(), map.end()), _value(value) {}
 		    /// \brief Constructs the map from another \c SparseMap.
 		    template<typename V1, typename Comp1>
 		    SparseMap(const SparseMap<Key, V1, Comp1> &c)
 		      : _map(c._map.begin(), c._map.end()), _value(c._value) {}
 		  private:
 		    SparseMap& operator=(const SparseMap&);
 		  public:
 		    ///\e
 		    Reference operator[](const Key &k) {
 		      typename Map::iterator it = _map.lower_bound(k);
 		      if (it != _map.end() && !_map.key_comp()(k, it->first))
 		        return it->second;
 		      else
 		        return _map.insert(it, std::make_pair(k, _value))->second;
+		    }
 		    ///\e
 		    ConstReference operator[](const Key &k) const {
 		      typename Map::const_iterator it = _map.find(k);
 		      if (it != _map.end())
 		        return it->second;
@@ -1437,1378 +1436,2275 @@
 		  /// \sa NotMap, NotWriteMap
 		  template<typename M1, typename M2>
 		  class AndMap : public MapBase<typename M1::Key, bool> {
 		    const M1 &_m1;
 		    const M2 &_m2;
 		  public:
 		    ///\e
 		    typedef typename M1::Key Key;
 		    ///\e
 		    typedef bool Value;
 		    /// Constructor
 		    AndMap(const M1 &m1, const M2 &m2) : _m1(m1), _m2(m2) {}
 		    ///\e
 		    Value operator[](const Key &k) const { return _m1[k]&&_m2[k]; }
 		  };
 		  /// Returns an \c AndMap class
 		  /// This function just returns an \c AndMap class.
 		  ///
 		  /// For example, if \c m1 and \c m2 are both maps with \c bool values,
 		  /// then <tt>andMap(m1,m2)[x]</tt> will be equal to
 		  /// <tt>m1[x]&&m2[x]</tt>.
 		  ///
 		  /// \relates AndMap
 		  template<typename M1, typename M2>
 		  inline AndMap<M1, M2> andMap(const M1 &m1, const M2 &m2) {
 		    return AndMap<M1, M2>(m1,m2);
+		  }
 		  /// Logical 'or' of two maps
 		  /// This \ref concepts::ReadMap "read-only map" returns the logical
 		  /// 'or' of the values of the two given maps.
 		  /// Its \c Key type is inherited from \c M1 and its \c Value type is
 		  /// \c bool. \c M2::Key must be convertible to \c M1::Key.
 		  ///
 		  /// If \c m1 is of type \c M1 and \c m2 is of \c M2, then for
 		  /// \code
 		  ///   OrMap<M1,M2> om(m1,m2);
 		  /// \endcode
 		  /// <tt>om[x]</tt> will be equal to <tt>m1[x]||m2[x]</tt>.
 		  ///
 		  /// The simplest way of using this map is through the orMap()
 		  /// function.
 		  ///
 		  /// \sa AndMap
 		  /// \sa NotMap, NotWriteMap
 		  template<typename M1, typename M2>
 		  class OrMap : public MapBase<typename M1::Key, bool> {
 		    const M1 &_m1;
 		    const M2 &_m2;
 		  public:
 		    ///\e
 		    typedef typename M1::Key Key;
 		    ///\e
 		    typedef bool Value;
 		    /// Constructor
 		    OrMap(const M1 &m1, const M2 &m2) : _m1(m1), _m2(m2) {}
 		    ///\e
 		    Value operator[](const Key &k) const { return _m1[k]||_m2[k]; }
 		  };
 		  /// Returns an \c OrMap class
 		  /// This function just returns an \c OrMap class.
 		  ///
 		  /// For example, if \c m1 and \c m2 are both maps with \c bool values,
 		  /// then <tt>orMap(m1,m2)[x]</tt> will be equal to
 		  /// <tt>m1[x]||m2[x]</tt>.
 		  ///
 		  /// \relates OrMap
 		  template<typename M1, typename M2>
 		  inline OrMap<M1, M2> orMap(const M1 &m1, const M2 &m2) {
 		    return OrMap<M1, M2>(m1,m2);
+		  }
 		  /// Logical 'not' of a map
 		  /// This \ref concepts::ReadMap "read-only map" returns the logical
 		  /// negation of the values of the given map.
 		  /// Its \c Key is inherited from \c M and its \c Value is \c bool.
 		  ///
 		  /// The simplest way of using this map is through the notMap()
 		  /// function.
 		  ///
 		  /// \sa NotWriteMap
 		  template <typename M>
 		  class NotMap : public MapBase<typename M::Key, bool> {
 		    const M &_m;
 		  public:
 		    ///\e
 		    typedef typename M::Key Key;
 		    ///\e
 		    typedef bool Value;
 		    /// Constructor
 		    NotMap(const M &m) : _m(m) {}
 		    ///\e
 		    Value operator[](const Key &k) const { return !_m[k]; }
 		  };
 		  /// Logical 'not' of a map (read-write version)
 		  /// This \ref concepts::ReadWriteMap "read-write map" returns the
 		  /// logical negation of the values of the given map.
 		  /// Its \c Key is inherited from \c M and its \c Value is \c bool.
 		  /// It makes also possible to write the map. When a value is set,
 		  /// the opposite value is set to the original map.
 		  ///
 		  /// The simplest way of using this map is through the notWriteMap()
 		  /// function.
 		  ///
 		  /// \sa NotMap
 		  template <typename M>
 		  class NotWriteMap : public MapBase<typename M::Key, bool> {
 		    M &_m;
 		  public:
 		    ///\e
 		    typedef typename M::Key Key;
 		    ///\e
 		    typedef bool Value;
 		    /// Constructor
 		    NotWriteMap(M &m) : _m(m) {}
 		    ///\e
 		    Value operator[](const Key &k) const { return !_m[k]; }
 		    ///\e
 		    void set(const Key &k, bool v) { _m.set(k, !v); }
 		  };
 		  /// Returns a \c NotMap class
 		  /// This function just returns a \c NotMap class.
 		  ///
 		  /// For example, if \c m is a map with \c bool values, then
 		  /// <tt>notMap(m)[x]</tt> will be equal to <tt>!m[x]</tt>.
 		  ///
 		  /// \relates NotMap
 		  template <typename M>
 		  inline NotMap<M> notMap(const M &m) {
 		    return NotMap<M>(m);
+		  }
 		  /// Returns a \c NotWriteMap class
 		  /// This function just returns a \c NotWriteMap class.
 		  ///
 		  /// For example, if \c m is a map with \c bool values, then
 		  /// <tt>notWriteMap(m)[x]</tt> will be equal to <tt>!m[x]</tt>.
 		  /// Moreover it makes also possible to write the map.
 		  ///
 		  /// \relates NotWriteMap
 		  template <typename M>
 		  inline NotWriteMap<M> notWriteMap(M &m) {
 		    return NotWriteMap<M>(m);
+		  }
 		  /// Combination of two maps using the \c == operator
 		  /// This \ref concepts::ReadMap "read-only map" assigns \c true to
 		  /// the keys for which the corresponding values of the two maps are
 		  /// equal.
 		  /// Its \c Key type is inherited from \c M1 and its \c Value type is
 		  /// \c bool. \c M2::Key must be convertible to \c M1::Key.
 		  ///
 		  /// If \c m1 is of type \c M1 and \c m2 is of \c M2, then for
 		  /// \code
 		  ///   EqualMap<M1,M2> em(m1,m2);
 		  /// \endcode
 		  /// <tt>em[x]</tt> will be equal to <tt>m1[x]==m2[x]</tt>.
 		  ///
 		  /// The simplest way of using this map is through the equalMap()
 		  /// function.
 		  ///
 		  /// \sa LessMap
 		  template<typename M1, typename M2>
 		  class EqualMap : public MapBase<typename M1::Key, bool> {
 		    const M1 &_m1;
 		    const M2 &_m2;
 		  public:
 		    ///\e
 		    typedef typename M1::Key Key;
 		    ///\e
 		    typedef bool Value;
 		    /// Constructor
 		    EqualMap(const M1 &m1, const M2 &m2) : _m1(m1), _m2(m2) {}
 		    ///\e
 		    Value operator[](const Key &k) const { return _m1[k]==_m2[k]; }
 		  };
 		  /// Returns an \c EqualMap class
 		  /// This function just returns an \c EqualMap class.
 		  ///
 		  /// For example, if \c m1 and \c m2 are maps with keys and values of
 		  /// the same type, then <tt>equalMap(m1,m2)[x]</tt> will be equal to
 		  /// <tt>m1[x]==m2[x]</tt>.
 		  ///
 		  /// \relates EqualMap
 		  template<typename M1, typename M2>
 		  inline EqualMap<M1, M2> equalMap(const M1 &m1, const M2 &m2) {
 		    return EqualMap<M1, M2>(m1,m2);
+		  }
 		  /// Combination of two maps using the \c < operator
 		  /// This \ref concepts::ReadMap "read-only map" assigns \c true to
 		  /// the keys for which the corresponding value of the first map is
 		  /// less then the value of the second map.
 		  /// Its \c Key type is inherited from \c M1 and its \c Value type is
 		  /// \c bool. \c M2::Key must be convertible to \c M1::Key.
 		  ///
 		  /// If \c m1 is of type \c M1 and \c m2 is of \c M2, then for
 		  /// \code
 		  ///   LessMap<M1,M2> lm(m1,m2);
 		  /// \endcode
 		  /// <tt>lm[x]</tt> will be equal to <tt>m1[x]<m2[x]</tt>.
 		  ///
 		  /// The simplest way of using this map is through the lessMap()
 		  /// function.
 		  ///
 		  /// \sa EqualMap
 		  template<typename M1, typename M2>
 		  class LessMap : public MapBase<typename M1::Key, bool> {
 		    const M1 &_m1;
 		    const M2 &_m2;
 		  public:
 		    ///\e
 		    typedef typename M1::Key Key;
 		    ///\e
 		    typedef bool Value;
 		    /// Constructor
 		    LessMap(const M1 &m1, const M2 &m2) : _m1(m1), _m2(m2) {}
 		    ///\e
 		    Value operator[](const Key &k) const { return _m1[k]<_m2[k]; }
 		  };
 		  /// Returns an \c LessMap class
 		  /// This function just returns an \c LessMap class.
 		  ///
 		  /// For example, if \c m1 and \c m2 are maps with keys and values of
 		  /// the same type, then <tt>lessMap(m1,m2)[x]</tt> will be equal to
 		  /// <tt>m1[x]<m2[x]</tt>.
 		  ///
 		  /// \relates LessMap
 		  template<typename M1, typename M2>
 		  inline LessMap<M1, M2> lessMap(const M1 &m1, const M2 &m2) {
 		    return LessMap<M1, M2>(m1,m2);
+		  }
 		  namespace _maps_bits {
 		    template <typename _Iterator, typename Enable = void>
 		    struct IteratorTraits {
 		      typedef typename std::iterator_traits<_Iterator>::value_type Value;
 		    };
 		    template <typename _Iterator>
 		    struct IteratorTraits<_Iterator,
 		      typename exists<typename _Iterator::container_type>::type>
+		    {
 		      typedef typename _Iterator::container_type::value_type Value;
 		    };
+		  }
 		  /// @}
 		  /// \addtogroup maps
 		  /// @{
 		  /// \brief Writable bool map for logging each \c true assigned element
 		  ///
 		  /// A \ref concepts::WriteMap "writable" bool map for logging
 		  /// each \c true assigned element, i.e it copies subsequently each
 		  /// keys set to \c true to the given iterator.
 		  /// The most important usage of it is storing certain nodes or arcs
 		  /// that were marked \c true by an algorithm.
 		  ///
 		  /// There are several algorithms that provide solutions through bool
 		  /// maps and most of them assign \c true at most once for each key.
 		  /// In these cases it is a natural request to store each \c true
 		  /// assigned elements (in order of the assignment), which can be
 		  /// easily done with LoggerBoolMap.
 		  ///
 		  /// The simplest way of using this map is through the loggerBoolMap()
 		  /// function.
 		  ///
 		  /// \tparam IT The type of the iterator.
 		  /// \tparam KEY The key type of the map. The default value set
 		  /// according to the iterator type should work in most cases.
 		  ///
 		  /// \note The container of the iterator must contain enough space
 		  /// for the elements or the iterator should be an inserter iterator.
 		#ifdef DOXYGEN
 		  template <typename IT, typename KEY>
 		#else
 		  template <typename IT,
 		            typename KEY = typename _maps_bits::IteratorTraits<IT>::Value>
 		#endif
 		  class LoggerBoolMap : public MapBase<KEY, bool> {
 		  public:
 		    ///\e
 		    typedef KEY Key;
 		    ///\e
 		    typedef bool Value;
 		    ///\e
 		    typedef IT Iterator;
 		    /// Constructor
 		    LoggerBoolMap(Iterator it)
 		      : _begin(it), _end(it) {}
 		    /// Gives back the given iterator set for the first key
 		    Iterator begin() const {
 		      return _begin;
+		    }
 		    /// Gives back the the 'after the last' iterator
 		    Iterator end() const {
 		      return _end;
+		    }
 		    /// The set function of the map
 		    void set(const Key& key, Value value) {
 		      if (value) {
 		        *_end++ = key;
+		      }
+		    }
 		  private:
 		    Iterator _begin;
 		    Iterator _end;
 		  };
 		  /// Returns a \c LoggerBoolMap class
 		  /// This function just returns a \c LoggerBoolMap class.
 		  ///
 		  /// The most important usage of it is storing certain nodes or arcs
 		  /// that were marked \c true by an algorithm.
 		  /// For example it makes easier to store the nodes in the processing
 		  /// order of Dfs algorithm, as the following examples show.
 		  /// \code
 		  ///   std::vector<Node> v;
 		  ///   dfs(g,s).processedMap(loggerBoolMap(std::back_inserter(v))).run();
 		  /// \endcode
 		  /// \code
 		  ///   std::vector<Node> v(countNodes(g));
 		  ///   dfs(g,s).processedMap(loggerBoolMap(v.begin())).run();
 		  /// \endcode
 		  ///
 		  /// \note The container of the iterator must contain enough space
 		  /// for the elements or the iterator should be an inserter iterator.
 		  ///
 		  /// \note LoggerBoolMap is just \ref concepts::WriteMap "writable", so
 		  /// it cannot be used when a readable map is needed, for example as
 		  /// \c ReachedMap for \c Bfs, \c Dfs and \c Dijkstra algorithms.
 		  ///
 		  /// \relates LoggerBoolMap
 		  template<typename Iterator>
 		  inline LoggerBoolMap<Iterator> loggerBoolMap(Iterator it) {
 		    return LoggerBoolMap<Iterator>(it);
+		  }
 		  /// @}
 		  /// \addtogroup graph_maps
 		  /// @{
 		  /// \brief Provides an immutable and unique id for each item in a graph.
 		  ///
 		  /// IdMap provides a unique and immutable id for each item of the
-		  /// same type (\c Node, \c Arc or \c Edge) in a graph. This id is
 		  /// same type (\c Node, \c Arc or \c Edge) in a graph. This id is
 		  ///  - \b unique: different items get different ids,
 		  ///  - \b immutable: the id of an item does not change (even if you
 		  ///    delete other nodes).
 		  ///
 		  /// Using this map you get access (i.e. can read) the inner id values of
 		  /// the items stored in the graph, which is returned by the \c id()
 		  /// function of the graph. This map can be inverted with its member
 		  /// class \c InverseMap or with the \c operator()() member.
 		  ///
 		  /// \tparam GR The graph type.
 		  /// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or
 		  /// \c GR::Edge).
 		  ///
 		  /// \see RangeIdMap
 		  template <typename GR, typename K>
 		  class IdMap : public MapBase<K, int> {
 		  public:
 		    /// The graph type of IdMap.
 		    typedef GR Graph;
 		    typedef GR Digraph;
 		    /// The key type of IdMap (\c Node, \c Arc or \c Edge).
 		    typedef K Item;
 		    /// The key type of IdMap (\c Node, \c Arc or \c Edge).
 		    typedef K Key;
 		    /// The value type of IdMap.
 		    typedef int Value;
 		    /// \brief Constructor.
 		    ///
 		    /// Constructor of the map.
 		    explicit IdMap(const Graph& graph) : _graph(&graph) {}
 		    /// \brief Gives back the \e id of the item.
 		    ///
 		    /// Gives back the immutable and unique \e id of the item.
 		    int operator[](const Item& item) const { return _graph->id(item);}
 		    /// \brief Gives back the \e item by its id.
 		    ///
 		    /// Gives back the \e item by its id.
 		    Item operator()(int id) { return _graph->fromId(id, Item()); }
 		  private:
 		    const Graph* _graph;
 		  public:
 		    /// \brief This class represents the inverse of its owner (IdMap).
 		    ///
 		    /// This class represents the inverse of its owner (IdMap).
 		    /// \see inverse()
 		    class InverseMap {
 		    public:
 		      /// \brief Constructor.
 		      ///
 		      /// Constructor for creating an id-to-item map.
 		      explicit InverseMap(const Graph& graph) : _graph(&graph) {}
 		      /// \brief Constructor.
 		      ///
 		      /// Constructor for creating an id-to-item map.
 		      explicit InverseMap(const IdMap& map) : _graph(map._graph) {}
 		      /// \brief Gives back the given item from its id.
 		      ///
 		      /// Gives back the given item from its id.
 		      Item operator[](int id) const { return _graph->fromId(id, Item());}
 		    private:
 		      const Graph* _graph;
 		    };
 		    /// \brief Gives back the inverse of the map.
 		    ///
 		    /// Gives back the inverse of the IdMap.
 		    InverseMap inverse() const { return InverseMap(*_graph);}
 		  };
 		  /// \brief General cross reference graph map type.
 		  /// This class provides simple invertable graph maps.
 		  /// It wraps a standard graph map (\c NodeMap, \c ArcMap or \c EdgeMap)
 		  /// and if a key is set to a new value, then stores it in the inverse map.
 		  /// The values of the map can be accessed
 		  /// with stl compatible forward iterator.
 		  ///
 		  /// This type is not reference map, so it cannot be modified with
 		  /// the subscript operator.
 		  ///
 		  /// \tparam GR The graph type.
 		  /// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or
 		  /// \c GR::Edge).
 		  /// \tparam V The value type of the map.
 		  ///
 		  /// \see IterableValueMap
 		  template <typename GR, typename K, typename V>
 		  class CrossRefMap
 		    : protected ItemSetTraits<GR, K>::template Map<V>::Type {
 		  private:
 		    typedef typename ItemSetTraits<GR, K>::
 		      template Map<V>::Type Map;
 		    typedef std::multimap<V, K> Container;
 		    Container _inv_map;
 		  public:
 		    /// The graph type of CrossRefMap.
 		    typedef GR Graph;
 		    typedef GR Digraph;
 		    /// The key type of CrossRefMap (\c Node, \c Arc or \c Edge).
 		    typedef K Item;
 		    /// The key type of CrossRefMap (\c Node, \c Arc or \c Edge).
 		    typedef K Key;
 		    /// The value type of CrossRefMap.
 		    typedef V Value;
 		    /// \brief Constructor.
 		    ///
 		    /// Construct a new CrossRefMap for the given graph.
 		    explicit CrossRefMap(const Graph& graph) : Map(graph) {}
 		    /// \brief Forward iterator for values.
 		    ///
 		    /// This iterator is an stl compatible forward
 		    /// iterator on the values of the map. The values can
 		    /// be accessed in the <tt>[beginValue, endValue)</tt> range.
 		    /// They are considered with multiplicity, so each value is
 		    /// traversed for each item it is assigned to.
 		    class ValueIterator
 		      : public std::iterator<std::forward_iterator_tag, Value> {
 		      friend class CrossRefMap;
 		    private:
 		      ValueIterator(typename Container::const_iterator _it)
 		        : it(_it) {}
 		    public:
 		      ValueIterator() {}
 		      ValueIterator& operator++() { ++it; return *this; }
 		      ValueIterator operator++(int) {
 		        ValueIterator tmp(*this);
 		        operator++();
 		        return tmp;
+		      }
 		      const Value& operator*() const { return it->first; }
 		      const Value* operator->() const { return &(it->first); }
 		      bool operator==(ValueIterator jt) const { return it == jt.it; }
 		      bool operator!=(ValueIterator jt) const { return it != jt.it; }
 		    private:
 		      typename Container::const_iterator it;
 		    };
 		    /// \brief Returns an iterator to the first value.
 		    ///
 		    /// Returns an stl compatible iterator to the
 		    /// first value of the map. The values of the
 		    /// map can be accessed in the <tt>[beginValue, endValue)</tt>
 		    /// range.
 		    ValueIterator beginValue() const {
 		      return ValueIterator(_inv_map.begin());
+		    }
 		    /// \brief Returns an iterator after the last value.
 		    ///
 		    /// Returns an stl compatible iterator after the
 		    /// last value of the map. The values of the
 		    /// map can be accessed in the <tt>[beginValue, endValue)</tt>
 		    /// range.
 		    ValueIterator endValue() const {
 		      return ValueIterator(_inv_map.end());
+		    }
 		    /// \brief Sets the value associated with the given key.
 		    ///
 		    /// Sets the value associated with the given key.
 		    void set(const Key& key, const Value& val) {
 		      Value oldval = Map::operator[](key);
 		      typename Container::iterator it;
 		      for (it = _inv_map.equal_range(oldval).first;
 		           it != _inv_map.equal_range(oldval).second; ++it) {
 		        if (it->second == key) {
 		          _inv_map.erase(it);
 		          break;
+		        }
+		      }
 		      _inv_map.insert(std::make_pair(val, key));
 		      Map::set(key, val);
+		    }
 		    /// \brief Returns the value associated with the given key.
 		    ///
 		    /// Returns the value associated with the given key.
 		    typename MapTraits<Map>::ConstReturnValue
 		    operator[](const Key& key) const {
 		      return Map::operator[](key);
+		    }
 		    /// \brief Gives back an item by its value.
 		    ///
 		    /// This function gives back an item that is assigned to
 		    /// the given value or \c INVALID if no such item exists.
 		    /// If there are more items with the same associated value,
 		    /// only one of them is returned.
 		    Key operator()(const Value& val) const {
 		      typename Container::const_iterator it = _inv_map.find(val);
 		      return it != _inv_map.end() ? it->second : INVALID;
+		    }
 		    /// \brief Returns the number of items with the given value.
 		    ///
 		    /// This function returns the number of items with the given value
 		    /// associated with it.
 		    int count(const Value &val) const {
 		      return _inv_map.count(val);
+		    }
 		  protected:
 		    /// \brief Erase the key from the map and the inverse map.
 		    ///
 		    /// Erase the key from the map and the inverse map. It is called by the
 		    /// \c AlterationNotifier.
 		    virtual void erase(const Key& key) {
 		      Value val = Map::operator[](key);
 		      typename Container::iterator it;
 		      for (it = _inv_map.equal_range(val).first;
 		           it != _inv_map.equal_range(val).second; ++it) {
 		        if (it->second == key) {
 		          _inv_map.erase(it);
 		          break;
+		        }
+		      }
 		      Map::erase(key);
+		    }
 		    /// \brief Erase more keys from the map and the inverse map.
 		    ///
 		    /// Erase more keys from the map and the inverse map. It is called by the
 		    /// \c AlterationNotifier.
 		    virtual void erase(const std::vector<Key>& keys) {
 		      for (int i = 0; i < int(keys.size()); ++i) {
 		        Value val = Map::operator[](keys[i]);
 		        typename Container::iterator it;
 		        for (it = _inv_map.equal_range(val).first;
 		             it != _inv_map.equal_range(val).second; ++it) {
 		          if (it->second == keys[i]) {
 		            _inv_map.erase(it);
 		            break;
+		          }
+		        }
+		      }
 		      Map::erase(keys);
+		    }
 		    /// \brief Clear the keys from the map and the inverse map.
 		    ///
 		    /// Clear the keys from the map and the inverse map. It is called by the
 		    /// \c AlterationNotifier.
 		    virtual void clear() {
 		      _inv_map.clear();
 		      Map::clear();
+		    }
 		  public:
 		    /// \brief The inverse map type.
 		    ///
 		    /// The inverse of this map. The subscript operator of the map
 		    /// gives back the item that was last assigned to the value.
 		    class InverseMap {
 		    public:
 		      /// \brief Constructor
 		      ///
 		      /// Constructor of the InverseMap.
 		      explicit InverseMap(const CrossRefMap& inverted)
 		        : _inverted(inverted) {}
 		      /// The value type of the InverseMap.
 		      typedef typename CrossRefMap::Key Value;
 		      /// The key type of the InverseMap.
 		      typedef typename CrossRefMap::Value Key;
 		      /// \brief Subscript operator.
 		      ///
 		      /// Subscript operator. It gives back an item
 		      /// that is assigned to the given value or \c INVALID
 		      /// if no such item exists.
 		      Value operator[](const Key& key) const {
 		        return _inverted(key);
+		      }
 		    private:
 		      const CrossRefMap& _inverted;
 		    };
 		    /// \brief It gives back the read-only inverse map.
 		    ///
 		    /// It gives back the read-only inverse map.
 		    InverseMap inverse() const {
 		      return InverseMap(*this);
+		    }
 		  };
 		  /// \brief Provides continuous and unique id for the
 		  /// items of a graph.
 		  ///
 		  /// RangeIdMap provides a unique and continuous
 		  /// id for each item of a given type (\c Node, \c Arc or
 		  /// \c Edge) in a graph. This id is
 		  ///  - \b unique: different items get different ids,
 		  ///  - \b continuous: the range of the ids is the set of integers
 		  ///    between 0 and \c n-1, where \c n is the number of the items of
 		  ///    this type (\c Node, \c Arc or \c Edge).
 		  ///  - So, the ids can change when deleting an item of the same type.
 		  ///
 		  /// Thus this id is not (necessarily) the same as what can get using
 		  /// the \c id() function of the graph or \ref IdMap.
 		  /// This map can be inverted with its member class \c InverseMap,
 		  /// or with the \c operator()() member.
 		  ///
 		  /// \tparam GR The graph type.
 		  /// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or
 		  /// \c GR::Edge).
 		  ///
 		  /// \see IdMap
 		  template <typename GR, typename K>
 		  class RangeIdMap
 		    : protected ItemSetTraits<GR, K>::template Map<int>::Type {
 		    typedef typename ItemSetTraits<GR, K>::template Map<int>::Type Map;
 		  public:
 		    /// The graph type of RangeIdMap.
 		    typedef GR Graph;
 		    typedef GR Digraph;
 		    /// The key type of RangeIdMap (\c Node, \c Arc or \c Edge).
 		    typedef K Item;
 		    /// The key type of RangeIdMap (\c Node, \c Arc or \c Edge).
 		    typedef K Key;
 		    /// The value type of RangeIdMap.
 		    typedef int Value;
 		    /// \brief Constructor.
 		    ///
 		    /// Constructor.
 		    explicit RangeIdMap(const Graph& gr) : Map(gr) {
 		      Item it;
 		      const typename Map::Notifier* nf = Map::notifier();
 		      for (nf->first(it); it != INVALID; nf->next(it)) {
 		        Map::set(it, _inv_map.size());
 		        _inv_map.push_back(it);
+		      }
+		    }
 		  protected:
 		    /// \brief Adds a new key to the map.
 		    ///
 		    /// Add a new key to the map. It is called by the
 		    /// \c AlterationNotifier.
 		    virtual void add(const Item& item) {
 		      Map::add(item);
 		      Map::set(item, _inv_map.size());
 		      _inv_map.push_back(item);
+		    }
 		    /// \brief Add more new keys to the map.
 		    ///
 		    /// Add more new keys to the map. It is called by the
 		    /// \c AlterationNotifier.
 		    virtual void add(const std::vector<Item>& items) {
 		      Map::add(items);
 		      for (int i = 0; i < int(items.size()); ++i) {
 		        Map::set(items[i], _inv_map.size());
 		        _inv_map.push_back(items[i]);
+		      }
+		    }
 		    /// \brief Erase the key from the map.
 		    ///
 		    /// Erase the key from the map. It is called by the
 		    /// \c AlterationNotifier.
 		    virtual void erase(const Item& item) {
 		      Map::set(_inv_map.back(), Map::operator[](item));
 		      _inv_map[Map::operator[](item)] = _inv_map.back();
 		      _inv_map.pop_back();
 		      Map::erase(item);
+		    }
 		    /// \brief Erase more keys from the map.
 		    ///
 		    /// Erase more keys from the map. It is called by the
 		    /// \c AlterationNotifier.
 		    virtual void erase(const std::vector<Item>& items) {
 		      for (int i = 0; i < int(items.size()); ++i) {
 		        Map::set(_inv_map.back(), Map::operator[](items[i]));
 		        _inv_map[Map::operator[](items[i])] = _inv_map.back();
 		        _inv_map.pop_back();
+		      }
 		      Map::erase(items);
+		    }
 		    /// \brief Build the unique map.
 		    ///
 		    /// Build the unique map. It is called by the
 		    /// \c AlterationNotifier.
 		    virtual void build() {
 		      Map::build();
 		      Item it;
 		      const typename Map::Notifier* nf = Map::notifier();
 		      for (nf->first(it); it != INVALID; nf->next(it)) {
 		        Map::set(it, _inv_map.size());
 		        _inv_map.push_back(it);
+		      }
+		    }
 		    /// \brief Clear the keys from the map.
 		    ///
 		    /// Clear the keys from the map. It is called by the
 		    /// \c AlterationNotifier.
 		    virtual void clear() {
 		      _inv_map.clear();
 		      Map::clear();
+		    }
 		  public:
 		    /// \brief Returns the maximal value plus one.
 		    ///
 		    /// Returns the maximal value plus one in the map.
 		    unsigned int size() const {
 		      return _inv_map.size();
+		    }
 		    /// \brief Swaps the position of the two items in the map.
 		    ///
 		    /// Swaps the position of the two items in the map.
 		    void swap(const Item& p, const Item& q) {
 		      int pi = Map::operator[](p);
 		      int qi = Map::operator[](q);
 		      Map::set(p, qi);
 		      _inv_map[qi] = p;
 		      Map::set(q, pi);
 		      _inv_map[pi] = q;
+		    }
 		    /// \brief Gives back the \e RangeId of the item
 		    ///
 		    /// Gives back the \e RangeId of the item.
 		    int operator[](const Item& item) const {
 		      return Map::operator[](item);
+		    }
 		    /// \brief Gives back the item belonging to a \e RangeId
-		    ///
 		    ///
 		    /// Gives back the item belonging to a \e RangeId.
 		    Item operator()(int id) const {
 		      return _inv_map[id];
+		    }
 		  private:
 		    typedef std::vector<Item> Container;
 		    Container _inv_map;
 		  public:
 		    /// \brief The inverse map type of RangeIdMap.
 		    ///
 		    /// The inverse map type of RangeIdMap.
 		    class InverseMap {
 		    public:
 		      /// \brief Constructor
 		      ///
 		      /// Constructor of the InverseMap.
 		      explicit InverseMap(const RangeIdMap& inverted)
 		        : _inverted(inverted) {}
 		      /// The value type of the InverseMap.
 		      typedef typename RangeIdMap::Key Value;
 		      /// The key type of the InverseMap.
 		      typedef typename RangeIdMap::Value Key;
 		      /// \brief Subscript operator.
 		      ///
 		      /// Subscript operator. It gives back the item
 		      /// that the descriptor currently belongs to.
 		      Value operator[](const Key& key) const {
 		        return _inverted(key);
+		      }
 		      /// \brief Size of the map.
 		      ///
 		      /// Returns the size of the map.
 		      unsigned int size() const {
 		        return _inverted.size();
+		      }
 		    private:
 		      const RangeIdMap& _inverted;
 		    };
 		    /// \brief Gives back the inverse of the map.
 		    ///
 		    /// Gives back the inverse of the map.
 		    const InverseMap inverse() const {
 		      return InverseMap(*this);
+		    }
 		  };
 		  /// \brief Dynamic iterable \c bool map.
 		  ///
 		  /// This class provides a special graph map type which can store a
 		  /// \c bool value for graph items (\c Node, \c Arc or \c Edge).
 		  /// For both \c true and \c false values it is possible to iterate on
 		  /// the keys.
 		  ///
 		  /// This type is a reference map, so it can be modified with the
 		  /// subscription operator.
 		  ///
 		  /// \tparam GR The graph type.
 		  /// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or
 		  /// \c GR::Edge).
 		  ///
 		  /// \see IterableIntMap, IterableValueMap
 		  /// \see CrossRefMap
 		  template <typename GR, typename K>
 		  class IterableBoolMap
 		    : protected ItemSetTraits<GR, K>::template Map<int>::Type {
 		  private:
 		    typedef GR Graph;
 		    typedef typename ItemSetTraits<GR, K>::ItemIt KeyIt;
 		    typedef typename ItemSetTraits<GR, K>::template Map<int>::Type Parent;
 		    std::vector<K> _array;
 		    int _sep;
 		  public:
 		    /// Indicates that the map is reference map.
 		    typedef True ReferenceMapTag;
 		    /// The key type
 		    typedef K Key;
 		    /// The value type
 		    typedef bool Value;
 		    /// The const reference type.
 		    typedef const Value& ConstReference;
 		  private:
 		    int position(const Key& key) const {
 		      return Parent::operator[](key);
+		    }
 		  public:
 		    /// \brief Reference to the value of the map.
 		    ///
 		    /// This class is similar to the \c bool type. It can be converted to
 		    /// \c bool and it provides the same operators.
 		    class Reference {
 		      friend class IterableBoolMap;
 		    private:
 		      Reference(IterableBoolMap& map, const Key& key)
 		        : _key(key), _map(map) {}
 		    public:
 		      Reference& operator=(const Reference& value) {
 		        _map.set(_key, static_cast<bool>(value));
 		         return *this;
+		      }
 		      operator bool() const {
 		        return static_cast<const IterableBoolMap&>(_map)[_key];
+		      }
 		      Reference& operator=(bool value) {
 		        _map.set(_key, value);
 		        return *this;
+		      }
 		      Reference& operator&=(bool value) {
 		        _map.set(_key, _map[_key] & value);
 		        return *this;
+		      }
 		      Reference& operator|=(bool value) {
 		        _map.set(_key, _map[_key] | value);
 		        return *this;
+		      }
 		      Reference& operator^=(bool value) {
 		        _map.set(_key, _map[_key] ^ value);
 		        return *this;
+		      }
 		    private:
 		      Key _key;
 		      IterableBoolMap& _map;
 		    };
 		    /// \brief Constructor of the map with a default value.
 		    ///
 		    /// Constructor of the map with a default value.
 		    explicit IterableBoolMap(const Graph& graph, bool def = false)
 		      : Parent(graph) {
 		      typename Parent::Notifier* nf = Parent::notifier();
 		      Key it;
 		      for (nf->first(it); it != INVALID; nf->next(it)) {
 		        Parent::set(it, _array.size());
 		        _array.push_back(it);
+		      }
 		      _sep = (def ? _array.size() : 0);
+		    }
 		    /// \brief Const subscript operator of the map.
 		    ///
 		    /// Const subscript operator of the map.
 		    bool operator[](const Key& key) const {
 		      return position(key) < _sep;
+		    }
 		    /// \brief Subscript operator of the map.
 		    ///
 		    /// Subscript operator of the map.
 		    Reference operator[](const Key& key) {
 		      return Reference(*this, key);
+		    }
 		    /// \brief Set operation of the map.
 		    ///
 		    /// Set operation of the map.
 		    void set(const Key& key, bool value) {
 		      int pos = position(key);
 		      if (value) {
 		        if (pos < _sep) return;
 		        Key tmp = _array[_sep];
 		        _array[_sep] = key;
 		        Parent::set(key, _sep);
 		        _array[pos] = tmp;
 		        Parent::set(tmp, pos);
 		        ++_sep;
 		      } else {
 		        if (pos >= _sep) return;
 		        --_sep;
 		        Key tmp = _array[_sep];
 		        _array[_sep] = key;
 		        Parent::set(key, _sep);
 		        _array[pos] = tmp;
 		        Parent::set(tmp, pos);
+		      }
+		    }
 		    /// \brief Set all items.
 		    ///
 		    /// Set all items in the map.
 		    /// \note Constant time operation.
 		    void setAll(bool value) {
 		      _sep = (value ? _array.size() : 0);
+		    }
 		    /// \brief Returns the number of the keys mapped to \c true.
 		    ///
 		    /// Returns the number of the keys mapped to \c true.
 		    int trueNum() const {
 		      return _sep;
+		    }
 		    /// \brief Returns the number of the keys mapped to \c false.
 		    ///
 		    /// Returns the number of the keys mapped to \c false.
 		    int falseNum() const {
 		      return _array.size() - _sep;
+		    }
 		    /// \brief Iterator for the keys mapped to \c true.
 		    ///
 		    /// Iterator for the keys mapped to \c true. It works
 		    /// like a graph item iterator, it can be converted to
 		    /// the key type of the map, incremented with \c ++ operator, and
 		    /// if the iterator leaves the last valid key, it will be equal to
 		    /// \c INVALID.
 		    class TrueIt : public Key {
 		    public:
 		      typedef Key Parent;
 		      /// \brief Creates an iterator.
 		      ///
 		      /// Creates an iterator. It iterates on the
 		      /// keys mapped to \c true.
 		      /// \param map The IterableBoolMap.
 		      explicit TrueIt(const IterableBoolMap& map)
 		        : Parent(map._sep > 0 ? map._array[map._sep - 1] : INVALID),
 		          _map(&map) {}
 		      /// \brief Invalid constructor \& conversion.
 		      ///
 		      /// This constructor initializes the iterator to be invalid.
 		      /// \sa Invalid for more details.
 		      TrueIt(Invalid) : Parent(INVALID), _map(0) {}
 		      /// \brief Increment operator.
 		      ///
 		      /// Increment operator.
 		      TrueIt& operator++() {
 		        int pos = _map->position(*this);
 		        Parent::operator=(pos > 0 ? _map->_array[pos - 1] : INVALID);
 		        return *this;
+		      }
 		    private:
 		      const IterableBoolMap* _map;
 		    };
 		    /// \brief Iterator for the keys mapped to \c false.
 		    ///
 		    /// Iterator for the keys mapped to \c false. It works
 		    /// like a graph item iterator, it can be converted to
 		    /// the key type of the map, incremented with \c ++ operator, and
 		    /// if the iterator leaves the last valid key, it will be equal to
 		    /// \c INVALID.
 		    class FalseIt : public Key {
 		    public:
 		      typedef Key Parent;
 		      /// \brief Creates an iterator.
 		      ///
 		      /// Creates an iterator. It iterates on the
 		      /// keys mapped to \c false.
 		      /// \param map The IterableBoolMap.
 		      explicit FalseIt(const IterableBoolMap& map)
 		        : Parent(map._sep < int(map._array.size()) ?
 		                 map._array.back() : INVALID), _map(&map) {}
 		      /// \brief Invalid constructor \& conversion.
 		      ///
 		      /// This constructor initializes the iterator to be invalid.
 		      /// \sa Invalid for more details.
 		      FalseIt(Invalid) : Parent(INVALID), _map(0) {}
 		      /// \brief Increment operator.
 		      ///
 		      /// Increment operator.
 		      FalseIt& operator++() {
 		        int pos = _map->position(*this);
 		        Parent::operator=(pos > _map->_sep ? _map->_array[pos - 1] : INVALID);
 		        return *this;
+		      }
 		    private:
 		      const IterableBoolMap* _map;
 		    };
 		    /// \brief Iterator for the keys mapped to a given value.
 		    ///
 		    /// Iterator for the keys mapped to a given value. It works
 		    /// like a graph item iterator, it can be converted to
 		    /// the key type of the map, incremented with \c ++ operator, and
 		    /// if the iterator leaves the last valid key, it will be equal to
 		    /// \c INVALID.
 		    class ItemIt : public Key {
 		    public:
 		      typedef Key Parent;
 		      /// \brief Creates an iterator with a value.
 		      ///
 		      /// Creates an iterator with a value. It iterates on the
 		      /// keys mapped to the given value.
 		      /// \param map The IterableBoolMap.
 		      /// \param value The value.
 		      ItemIt(const IterableBoolMap& map, bool value)
 		        : Parent(value ?
 		                 (map._sep > 0 ?
 		                  map._array[map._sep - 1] : INVALID) :
 		                 (map._sep < int(map._array.size()) ?
 		                  map._array.back() : INVALID)), _map(&map) {}
 		      /// \brief Invalid constructor \& conversion.
 		      ///
 		      /// This constructor initializes the iterator to be invalid.
 		      /// \sa Invalid for more details.
 		      ItemIt(Invalid) : Parent(INVALID), _map(0) {}
 		      /// \brief Increment operator.
 		      ///
 		      /// Increment operator.
 		      ItemIt& operator++() {
 		        int pos = _map->position(*this);
 		        int _sep = pos >= _map->_sep ? _map->_sep : 0;
 		        Parent::operator=(pos > _sep ? _map->_array[pos - 1] : INVALID);
 		        return *this;
+		      }
 		    private:
 		      const IterableBoolMap* _map;
 		    };
 		  protected:
 		    virtual void add(const Key& key) {
 		      Parent::add(key);
 		      Parent::set(key, _array.size());
 		      _array.push_back(key);
+		    }
 		    virtual void add(const std::vector<Key>& keys) {
 		      Parent::add(keys);
 		      for (int i = 0; i < int(keys.size()); ++i) {
 		        Parent::set(keys[i], _array.size());
 		        _array.push_back(keys[i]);
+		      }
+		    }
 		    virtual void erase(const Key& key) {
 		      int pos = position(key);
 		      if (pos < _sep) {
 		        --_sep;
 		        Parent::set(_array[_sep], pos);
 		        _array[pos] = _array[_sep];
 		        Parent::set(_array.back(), _sep);
 		        _array[_sep] = _array.back();
 		        _array.pop_back();
 		      } else {
 		        Parent::set(_array.back(), pos);
 		        _array[pos] = _array.back();
 		        _array.pop_back();
+		      }
 		      Parent::erase(key);
+		    }
 		    virtual void erase(const std::vector<Key>& keys) {
 		      for (int i = 0; i < int(keys.size()); ++i) {
 		        int pos = position(keys[i]);
 		        if (pos < _sep) {
 		          --_sep;
 		          Parent::set(_array[_sep], pos);
 		          _array[pos] = _array[_sep];
 		          Parent::set(_array.back(), _sep);
 		          _array[_sep] = _array.back();
 		          _array.pop_back();
 		        } else {
 		          Parent::set(_array.back(), pos);
 		          _array[pos] = _array.back();
 		          _array.pop_back();
+		        }
+		      }
 		      Parent::erase(keys);
+		    }
 		    virtual void build() {
 		      Parent::build();
 		      typename Parent::Notifier* nf = Parent::notifier();
 		      Key it;
 		      for (nf->first(it); it != INVALID; nf->next(it)) {
 		        Parent::set(it, _array.size());
 		        _array.push_back(it);
+		      }
 		      _sep = 0;
+		    }
 		    virtual void clear() {
 		      _array.clear();
 		      _sep = 0;
 		      Parent::clear();
+		    }
 		  };
 		  namespace _maps_bits {
 		    template <typename Item>
 		    struct IterableIntMapNode {
 		      IterableIntMapNode() : value(-1) {}
 		      IterableIntMapNode(int _value) : value(_value) {}
 		      Item prev, next;
 		      int value;
 		    };
+		  }
 		  /// \brief Dynamic iterable integer map.
 		  ///
 		  /// This class provides a special graph map type which can store an
 		  /// integer value for graph items (\c Node, \c Arc or \c Edge).
 		  /// For each non-negative value it is possible to iterate on the keys
 		  /// mapped to the value.
 		  ///
 		  /// This type is a reference map, so it can be modified with the
 		  /// subscription operator.
 		  ///
 		  /// \note The size of the data structure depends on the largest
 		  /// value in the map.
 		  ///
 		  /// \tparam GR The graph type.
 		  /// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or
 		  /// \c GR::Edge).
 		  ///
 		  /// \see IterableBoolMap, IterableValueMap
 		  /// \see CrossRefMap
 		  template <typename GR, typename K>
 		  class IterableIntMap
 		    : protected ItemSetTraits<GR, K>::
 		        template Map<_maps_bits::IterableIntMapNode<K> >::Type {
 		  public:
 		    typedef typename ItemSetTraits<GR, K>::
 		      template Map<_maps_bits::IterableIntMapNode<K> >::Type Parent;
 		    /// The key type
 		    typedef K Key;
 		    /// The value type
 		    typedef int Value;
 		    /// The graph type
 		    typedef GR Graph;
 		    /// \brief Constructor of the map.
 		    ///
 		    /// Constructor of the map. It sets all values to -1.
 		    explicit IterableIntMap(const Graph& graph)
 		      : Parent(graph) {}
 		    /// \brief Constructor of the map with a given value.
 		    ///
 		    /// Constructor of the map with a given value.
 		    explicit IterableIntMap(const Graph& graph, int value)
 		      : Parent(graph, _maps_bits::IterableIntMapNode<K>(value)) {
 		      if (value >= 0) {
 		        for (typename Parent::ItemIt it(*this); it != INVALID; ++it) {
 		          lace(it);
+		        }
+		      }
+		    }
 		  private:
 		    void unlace(const Key& key) {
 		      typename Parent::Value& node = Parent::operator[](key);
 		      if (node.value < 0) return;
 		      if (node.prev != INVALID) {
 		        Parent::operator[](node.prev).next = node.next;
 		      } else {
 		        _first[node.value] = node.next;
+		      }
 		      if (node.next != INVALID) {
 		        Parent::operator[](node.next).prev = node.prev;
+		      }
 		      while (!_first.empty() && _first.back() == INVALID) {
 		        _first.pop_back();
+		      }
+		    }
 		    void lace(const Key& key) {
 		      typename Parent::Value& node = Parent::operator[](key);
 		      if (node.value < 0) return;
 		      if (node.value >= int(_first.size())) {
 		        _first.resize(node.value + 1, INVALID);
+		      }
 		      node.prev = INVALID;
 		      node.next = _first[node.value];
 		      if (node.next != INVALID) {
 		        Parent::operator[](node.next).prev = key;
+		      }
 		      _first[node.value] = key;
+		    }
 		  public:
 		    /// Indicates that the map is reference map.
 		    typedef True ReferenceMapTag;
 		    /// \brief Reference to the value of the map.
 		    ///
 		    /// This class is similar to the \c int type. It can
 		    /// be converted to \c int and it has the same operators.
 		    class Reference {
 		      friend class IterableIntMap;
 		    private:
 		      Reference(IterableIntMap& map, const Key& key)
 		        : _key(key), _map(map) {}
 		    public:
 		      Reference& operator=(const Reference& value) {
 		        _map.set(_key, static_cast<const int&>(value));
 		         return *this;
+		      }
 		      operator const int&() const {
 		        return static_cast<const IterableIntMap&>(_map)[_key];
+		      }
 		      Reference& operator=(int value) {
 		        _map.set(_key, value);
 		        return *this;
+		      }
 		      Reference& operator++() {
 		        _map.set(_key, _map[_key] + 1);
 		        return *this;
+		      }
 		      int operator++(int) {
 		        int value = _map[_key];
 		        _map.set(_key, value + 1);
 		        return value;
+		      }
 		      Reference& operator--() {
 		        _map.set(_key, _map[_key] - 1);
 		        return *this;
+		      }
 		      int operator--(int) {
 		        int value = _map[_key];
 		        _map.set(_key, value - 1);
 		        return value;
+		      }
 		      Reference& operator+=(int value) {
 		        _map.set(_key, _map[_key] + value);
 		        return *this;
+		      }
 		      Reference& operator-=(int value) {
 		        _map.set(_key, _map[_key] - value);
 		        return *this;
+		      }
 		      Reference& operator*=(int value) {
 		        _map.set(_key, _map[_key] * value);
 		        return *this;
+		      }
 		      Reference& operator/=(int value) {
 		        _map.set(_key, _map[_key] / value);
 		        return *this;
+		      }
 		      Reference& operator%=(int value) {
 		        _map.set(_key, _map[_key] % value);
 		        return *this;
+		      }
 		      Reference& operator&=(int value) {
 		        _map.set(_key, _map[_key] & value);
 		        return *this;
+		      }
 		      Reference& operator|=(int value) {
 		        _map.set(_key, _map[_key] | value);
 		        return *this;
+		      }
 		      Reference& operator^=(int value) {
 		        _map.set(_key, _map[_key] ^ value);
 		        return *this;
+		      }
 		      Reference& operator<<=(int value) {
 		        _map.set(_key, _map[_key] << value);
 		        return *this;
+		      }
 		      Reference& operator>>=(int value) {
 		        _map.set(_key, _map[_key] >> value);
 		        return *this;
+		      }
 		    private:
 		      Key _key;
 		      IterableIntMap& _map;
 		    };
 		    /// The const reference type.
 		    typedef const Value& ConstReference;
 		    /// \brief Gives back the maximal value plus one.
 		    ///
 		    /// Gives back the maximal value plus one.
 		    int size() const {
 		      return _first.size();
+		    }
 		    /// \brief Set operation of the map.
 		    ///
 		    /// Set operation of the map.
 		    void set(const Key& key, const Value& value) {
 		      unlace(key);
 		      Parent::operator[](key).value = value;
 		      lace(key);
+		    }
 		    /// \brief Const subscript operator of the map.
 		    ///
 		    /// Const subscript operator of the map.
 		    const Value& operator[](const Key& key) const {
 		      return Parent::operator[](key).value;
+		    }
 		    /// \brief Subscript operator of the map.
 		    ///
 		    /// Subscript operator of the map.
 		    Reference operator[](const Key& key) {
 		      return Reference(*this, key);
+		    }
 		    /// \brief Iterator for the keys with the same value.
 		    ///
 		    /// Iterator for the keys with the same value. It works
 		    /// like a graph item iterator, it can be converted to
 		    /// the item type of the map, incremented with \c ++ operator, and
 		    /// if the iterator leaves the last valid item, it will be equal to
 		    /// \c INVALID.
 		    class ItemIt : public Key {
 		    public:
 		      typedef Key Parent;
 		      /// \brief Invalid constructor \& conversion.
 		      ///
 		      /// This constructor initializes the iterator to be invalid.
 		      /// \sa Invalid for more details.
 		      ItemIt(Invalid) : Parent(INVALID), _map(0) {}
 		      /// \brief Creates an iterator with a value.
 		      ///
 		      /// Creates an iterator with a value. It iterates on the
 		      /// keys mapped to the given value.
 		      /// \param map The IterableIntMap.
 		      /// \param value The value.
 		      ItemIt(const IterableIntMap& map, int value) : _map(&map) {
 		        if (value < 0 || value >= int(_map->_first.size())) {
 		          Parent::operator=(INVALID);
 		        } else {
 		          Parent::operator=(_map->_first[value]);
+		        }
+		      }
 		      /// \brief Increment operator.
 		      ///
 		      /// Increment operator.
 		      ItemIt& operator++() {
 		        Parent::operator=(_map->IterableIntMap::Parent::
 		                          operator[](static_cast<Parent&>(*this)).next);
 		        return *this;
+		      }
 		    private:
 		      const IterableIntMap* _map;
 		    };
 		  protected:
 		    virtual void erase(const Key& key) {
 		      unlace(key);
 		      Parent::erase(key);
+		    }
 		    virtual void erase(const std::vector<Key>& keys) {
 		      for (int i = 0; i < int(keys.size()); ++i) {
 		        unlace(keys[i]);
+		      }
 		      Parent::erase(keys);
+		    }
 		    virtual void clear() {
 		      _first.clear();
 		      Parent::clear();
+		    }
 		  private:
 		    std::vector<Key> _first;
 		  };
 		  namespace _maps_bits {
 		    template <typename Item, typename Value>
 		    struct IterableValueMapNode {
 		      IterableValueMapNode(Value _value = Value()) : value(_value) {}
 		      Item prev, next;
 		      Value value;
 		    };
+		  }
 		  /// \brief Dynamic iterable map for comparable values.
 		  ///
 		  /// This class provides a special graph map type which can store an
 		  /// comparable value for graph items (\c Node, \c Arc or \c Edge).
 		  /// For each value it is possible to iterate on the keys mapped to
 		  /// the value.
 		  ///
 		  /// The map stores for each value a linked list with
 		  /// the items which mapped to the value, and the values are stored
 		  /// in balanced binary tree. The values of the map can be accessed
 		  /// with stl compatible forward iterator.
 		  ///
 		  /// This type is not reference map, so it cannot be modified with
 		  /// the subscription operator.
 		  ///
 		  /// \tparam GR The graph type.
 		  /// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or
 		  /// \c GR::Edge).
 		  /// \tparam V The value type of the map. It can be any comparable
 		  /// value type.
 		  ///
 		  /// \see IterableBoolMap, IterableIntMap
 		  /// \see CrossRefMap
 		  template <typename GR, typename K, typename V>
 		  class IterableValueMap
 		    : protected ItemSetTraits<GR, K>::
 		        template Map<_maps_bits::IterableValueMapNode<K, V> >::Type {
 		  public:
 		    typedef typename ItemSetTraits<GR, K>::
 		      template Map<_maps_bits::IterableValueMapNode<K, V> >::Type Parent;
 		    /// The key type
 		    typedef K Key;
 		    /// The value type
 		    typedef V Value;
 		    /// The graph type
 		    typedef GR Graph;
 		  public:
 		    /// \brief Constructor of the map with a given value.
 		    ///
 		    /// Constructor of the map with a given value.
 		    explicit IterableValueMap(const Graph& graph,
 		                              const Value& value = Value())
 		      : Parent(graph, _maps_bits::IterableValueMapNode<K, V>(value)) {
 		      for (typename Parent::ItemIt it(*this); it != INVALID; ++it) {
 		        lace(it);
+		      }
+		    }
 		  protected:
 		    void unlace(const Key& key) {
 		      typename Parent::Value& node = Parent::operator[](key);
 		      if (node.prev != INVALID) {
 		        Parent::operator[](node.prev).next = node.next;
 		      } else {
 		        if (node.next != INVALID) {
 		          _first[node.value] = node.next;
 		        } else {
 		          _first.erase(node.value);
+		        }
+		      }
 		      if (node.next != INVALID) {
 		        Parent::operator[](node.next).prev = node.prev;
+		      }
+		    }
 		    void lace(const Key& key) {
 		      typename Parent::Value& node = Parent::operator[](key);
 		      typename std::map<Value, Key>::iterator it = _first.find(node.value);
 		      if (it == _first.end()) {
 		        node.prev = node.next = INVALID;
 		        _first.insert(std::make_pair(node.value, key));
 		      } else {
 		        node.prev = INVALID;
 		        node.next = it->second;
 		        if (node.next != INVALID) {
 		          Parent::operator[](node.next).prev = key;
+		        }
 		        it->second = key;
+		      }
+		    }
 		  public:
 		    /// \brief Forward iterator for values.
 		    ///
 		    /// This iterator is an stl compatible forward
 		    /// iterator on the values of the map. The values can
 		    /// be accessed in the <tt>[beginValue, endValue)</tt> range.
 		    class ValueIterator
 		      : public std::iterator<std::forward_iterator_tag, Value> {
 		      friend class IterableValueMap;
 		    private:
 		      ValueIterator(typename std::map<Value, Key>::const_iterator _it)
 		        : it(_it) {}
 		    public:
 		      ValueIterator() {}
 		      ValueIterator& operator++() { ++it; return *this; }
 		      ValueIterator operator++(int) {
 		        ValueIterator tmp(*this);
 		        operator++();
 		        return tmp;
+		      }
 		      const Value& operator*() const { return it->first; }
 		      const Value* operator->() const { return &(it->first); }
 		      bool operator==(ValueIterator jt) const { return it == jt.it; }
 		      bool operator!=(ValueIterator jt) const { return it != jt.it; }
 		    private:
 		      typename std::map<Value, Key>::const_iterator it;
 		    };
 		    /// \brief Returns an iterator to the first value.
 		    ///
 		    /// Returns an stl compatible iterator to the
 		    /// first value of the map. The values of the
 		    /// map can be accessed in the <tt>[beginValue, endValue)</tt>
 		    /// range.
 		    ValueIterator beginValue() const {
 		      return ValueIterator(_first.begin());
+		    }
 		    /// \brief Returns an iterator after the last value.
 		    ///
 		    /// Returns an stl compatible iterator after the
 		    /// last value of the map. The values of the
 		    /// map can be accessed in the <tt>[beginValue, endValue)</tt>
 		    /// range.
 		    ValueIterator endValue() const {
 		      return ValueIterator(_first.end());
+		    }
 		    /// \brief Set operation of the map.
 		    ///
 		    /// Set operation of the map.
 		    void set(const Key& key, const Value& value) {
 		      unlace(key);
 		      Parent::operator[](key).value = value;
 		      lace(key);
+		    }
 		    /// \brief Const subscript operator of the map.
 		    ///
 		    /// Const subscript operator of the map.
 		    const Value& operator[](const Key& key) const {
 		      return Parent::operator[](key).value;
+		    }
 		    /// \brief Iterator for the keys with the same value.
 		    ///
 		    /// Iterator for the keys with the same value. It works
 		    /// like a graph item iterator, it can be converted to
 		    /// the item type of the map, incremented with \c ++ operator, and
 		    /// if the iterator leaves the last valid item, it will be equal to
 		    /// \c INVALID.
 		    class ItemIt : public Key {
 		    public:
 		      typedef Key Parent;
 		      /// \brief Invalid constructor \& conversion.
 		      ///
 		      /// This constructor initializes the iterator to be invalid.
 		      /// \sa Invalid for more details.
 		      ItemIt(Invalid) : Parent(INVALID), _map(0) {}
 		      /// \brief Creates an iterator with a value.
 		      ///
 		      /// Creates an iterator with a value. It iterates on the
 		      /// keys which have the given value.
 		      /// \param map The IterableValueMap
 		      /// \param value The value
 		      ItemIt(const IterableValueMap& map, const Value& value) : _map(&map) {
 		        typename std::map<Value, Key>::const_iterator it =
 		          map._first.find(value);
 		        if (it == map._first.end()) {
 		          Parent::operator=(INVALID);
 		        } else {
 		          Parent::operator=(it->second);
+		        }
+		      }
 		      /// \brief Increment operator.
 		      ///
 		      /// Increment Operator.
 		      ItemIt& operator++() {
 		        Parent::operator=(_map->IterableValueMap::Parent::
 		                          operator[](static_cast<Parent&>(*this)).next);
 		        return *this;
+		      }
 		    private:
 		      const IterableValueMap* _map;
 		    };
 		  protected:
 		    virtual void add(const Key& key) {
 		      Parent::add(key);
 		      unlace(key);
+		    }
 		    virtual void add(const std::vector<Key>& keys) {
 		      Parent::add(keys);
 		      for (int i = 0; i < int(keys.size()); ++i) {
 		        lace(keys[i]);
+		      }
+		    }
 		    virtual void erase(const Key& key) {
 		      unlace(key);
 		      Parent::erase(key);
+		    }
 		    virtual void erase(const std::vector<Key>& keys) {
 		      for (int i = 0; i < int(keys.size()); ++i) {
 		        unlace(keys[i]);
+		      }
 		      Parent::erase(keys);
+		    }
 		    virtual void build() {
 		      Parent::build();
 		      for (typename Parent::ItemIt it(*this); it != INVALID; ++it) {
 		        lace(it);
+		      }
+		    }
 		    virtual void clear() {
 		      _first.clear();
 		      Parent::clear();
+		    }
 		  private:
 		    std::map<Value, Key> _first;
 		  };
 		  /// \brief Map of the source nodes of arcs in a digraph.
 		  ///
 		  /// SourceMap provides access for the source node of each arc in a digraph,
 		  /// which is returned by the \c source() function of the digraph.
 		  /// \tparam GR The digraph type.
 		  /// \see TargetMap
 		  template <typename GR>
 		  class SourceMap {
 		  public:
 		    ///\e
 		    typedef typename GR::Arc Key;
 		    ///\e
 		    typedef typename GR::Node Value;
 		    /// \brief Constructor
 		    ///
 		    /// Constructor.
 		    /// \param digraph The digraph that the map belongs to.
 		    explicit SourceMap(const GR& digraph) : _graph(digraph) {}
 		    /// \brief Returns the source node of the given arc.
 		    ///
 		    /// Returns the source node of the given arc.
 		    Value operator[](const Key& arc) const {
 		      return _graph.source(arc);
+		    }
 		  private:
 		    const GR& _graph;
 		  };
 		  /// \brief Returns a \c SourceMap class.
 		  ///
 		  /// This function just returns an \c SourceMap class.
 		  /// \relates SourceMap
 		  template <typename GR>
 		  inline SourceMap<GR> sourceMap(const GR& graph) {
 		    return SourceMap<GR>(graph);
+		  }
 		  /// \brief Map of the target nodes of arcs in a digraph.
 		  ///
 		  /// TargetMap provides access for the target node of each arc in a digraph,
 		  /// which is returned by the \c target() function of the digraph.
 		  /// \tparam GR The digraph type.
 		  /// \see SourceMap
 		  template <typename GR>
 		  class TargetMap {
 		  public:
 		    ///\e
 		    typedef typename GR::Arc Key;
 		    ///\e
 		    typedef typename GR::Node Value;
 		    /// \brief Constructor
 		    ///
 		    /// Constructor.
 		    /// \param digraph The digraph that the map belongs to.
 		    explicit TargetMap(const GR& digraph) : _graph(digraph) {}
 		    /// \brief Returns the target node of the given arc.
 		    ///
 		    /// Returns the target node of the given arc.
 		    Value operator[](const Key& e) const {
 		      return _graph.target(e);
+		    }
 		  private:
 		    const GR& _graph;
 		  };
 		  /// \brief Returns a \c TargetMap class.
 		  ///
 		  /// This function just returns a \c TargetMap class.
 		  /// \relates TargetMap
 		  template <typename GR>
 		  inline TargetMap<GR> targetMap(const GR& graph) {
 		    return TargetMap<GR>(graph);
+		  }
 		  /// \brief Map of the "forward" directed arc view of edges in a graph.
 		  ///
 		  /// ForwardMap provides access for the "forward" directed arc view of
 		  /// each edge in a graph, which is returned by the \c direct() function
 		  /// of the graph with \c true parameter.
 		  /// \tparam GR The graph type.
 		  /// \see BackwardMap
 		  template <typename GR>
 		  class ForwardMap {
 		  public:
 		    typedef typename GR::Arc Value;
 		    typedef typename GR::Edge Key;
 		    /// \brief Constructor
 		    ///
 		    /// Constructor.
 		    /// \param graph The graph that the map belongs to.
 		    explicit ForwardMap(const GR& graph) : _graph(graph) {}
 		    /// \brief Returns the "forward" directed arc view of the given edge.
 		    ///
 		    /// Returns the "forward" directed arc view of the given edge.
 		    Value operator[](const Key& key) const {
 		      return _graph.direct(key, true);
+		    }
 		  private:
 		    const GR& _graph;
 		  };
 		  /// \brief Returns a \c ForwardMap class.
 		  ///
 		  /// This function just returns an \c ForwardMap class.
 		  /// \relates ForwardMap
 		  template <typename GR>
 		  inline ForwardMap<GR> forwardMap(const GR& graph) {
 		    return ForwardMap<GR>(graph);
+		  }
 		  /// \brief Map of the "backward" directed arc view of edges in a graph.
 		  ///
 		  /// BackwardMap provides access for the "backward" directed arc view of
 		  /// each edge in a graph, which is returned by the \c direct() function
 		  /// of the graph with \c false parameter.
 		  /// \tparam GR The graph type.
 		  /// \see ForwardMap
 		  template <typename GR>
 		  class BackwardMap {
 		  public:
 		    typedef typename GR::Arc Value;
 		    typedef typename GR::Edge Key;
 		    /// \brief Constructor
 		    ///
 		    /// Constructor.
 		    /// \param graph The graph that the map belongs to.
 		    explicit BackwardMap(const GR& graph) : _graph(graph) {}
 		    /// \brief Returns the "backward" directed arc view of the given edge.
 		    ///
 		    /// Returns the "backward" directed arc view of the given edge.
 		    Value operator[](const Key& key) const {
 		      return _graph.direct(key, false);
+		    }
 		  private:
 		    const GR& _graph;
 		  };
 		  /// \brief Returns a \c BackwardMap class
 		  /// This function just returns a \c BackwardMap class.
 		  /// \relates BackwardMap
 		  template <typename GR>
 		  inline BackwardMap<GR> backwardMap(const GR& graph) {
 		    return BackwardMap<GR>(graph);
+		  }
 		  /// \brief Map of the in-degrees of nodes in a digraph.
 		  ///
 		  /// This map returns the in-degree of a node. Once it is constructed,
 		  /// the degrees are stored in a standard \c NodeMap, so each query is done
 		  /// in constant time. On the other hand, the values are updated automatically
 		  /// whenever the digraph changes.
 		  ///
-		  /// \warning Besides \c addNode() and \c addArc(), a digraph structure
 		  /// \warning Besides \c addNode() and \c addArc(), a digraph structure
 		  /// may provide alternative ways to modify the digraph.
 		  /// The correct behavior of InDegMap is not guarantied if these additional
 		  /// features are used. For example the functions
 		  /// \ref ListDigraph::changeSource() "changeSource()",
 		  /// \ref ListDigraph::changeTarget() "changeTarget()" and
 		  /// \ref ListDigraph::reverseArc() "reverseArc()"
 		  /// of \ref ListDigraph will \e not update the degree values correctly.
 		  ///
 		  /// \sa OutDegMap
 		  template <typename GR>
 		  class InDegMap
 		    : protected ItemSetTraits<GR, typename GR::Arc>
 		      ::ItemNotifier::ObserverBase {
 		  public:
 		    /// The graph type of InDegMap
 		    typedef GR Graph;
 		    typedef GR Digraph;
 		    /// The key type
 		    typedef typename Digraph::Node Key;
 		    /// The value type
 		    typedef int Value;
 		    typedef typename ItemSetTraits<Digraph, typename Digraph::Arc>
 		    ::ItemNotifier::ObserverBase Parent;
 		  private:
 		    class AutoNodeMap
 		      : public ItemSetTraits<Digraph, Key>::template Map<int>::Type {
 		    public:
 		      typedef typename ItemSetTraits<Digraph, Key>::
 		      template Map<int>::Type Parent;
 		      AutoNodeMap(const Digraph& digraph) : Parent(digraph, 0) {}
 		      virtual void add(const Key& key) {
 		        Parent::add(key);
 		        Parent::set(key, 0);
+		      }
 		      virtual void add(const std::vector<Key>& keys) {
 		        Parent::add(keys);
 		        for (int i = 0; i < int(keys.size()); ++i) {
 		          Parent::set(keys[i], 0);
+		        }
+		      }
 		      virtual void build() {
 		        Parent::build();
 		        Key it;
 		        typename Parent::Notifier* nf = Parent::notifier();
 		        for (nf->first(it); it != INVALID; nf->next(it)) {
 		          Parent::set(it, 0);
+		        }
+		      }
 		    };
 		  public:
 		    /// \brief Constructor.
 		    ///
 		    /// Constructor for creating an in-degree map.
 		    explicit InDegMap(const Digraph& graph)
 		      : _digraph(graph), _deg(graph) {
 		      Parent::attach(_digraph.notifier(typename Digraph::Arc()));
 		      for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
 		        _deg[it] = countInArcs(_digraph, it);
+		      }
+		    }
 		    /// \brief Gives back the in-degree of a Node.
 		    ///
 		    /// Gives back the in-degree of a Node.
 		    int operator[](const Key& key) const {
 		      return _deg[key];
+		    }
 		  protected:
 		    typedef typename Digraph::Arc Arc;
 		    virtual void add(const Arc& arc) {
 		      ++_deg[_digraph.target(arc)];
+		    }
 		    virtual void add(const std::vector<Arc>& arcs) {
 		      for (int i = 0; i < int(arcs.size()); ++i) {
 		        ++_deg[_digraph.target(arcs[i])];
+		      }
+		    }
 		    virtual void erase(const Arc& arc) {
 		      --_deg[_digraph.target(arc)];
+		    }
 		    virtual void erase(const std::vector<Arc>& arcs) {
 		      for (int i = 0; i < int(arcs.size()); ++i) {
 		        --_deg[_digraph.target(arcs[i])];
+		      }
+		    }
 		    virtual void build() {
 		      for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
 		        _deg[it] = countInArcs(_digraph, it);
+		      }
+		    }
 		    virtual void clear() {
 		      for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
 		        _deg[it] = 0;
+		      }
+		    }
 		  private:
 		    const Digraph& _digraph;
 		    AutoNodeMap _deg;
 		  };
 		  /// \brief Map of the out-degrees of nodes in a digraph.
 		  ///
 		  /// This map returns the out-degree of a node. Once it is constructed,
 		  /// the degrees are stored in a standard \c NodeMap, so each query is done
 		  /// in constant time. On the other hand, the values are updated automatically
 		  /// whenever the digraph changes.
 		  ///
-		  /// \warning Besides \c addNode() and \c addArc(), a digraph structure
 		  /// \warning Besides \c addNode() and \c addArc(), a digraph structure
 		  /// may provide alternative ways to modify the digraph.
 		  /// The correct behavior of OutDegMap is not guarantied if these additional
 		  /// features are used. For example the functions
 		  /// \ref ListDigraph::changeSource() "changeSource()",
 		  /// \ref ListDigraph::changeTarget() "changeTarget()" and
 		  /// \ref ListDigraph::reverseArc() "reverseArc()"
 		  /// of \ref ListDigraph will \e not update the degree values correctly.
 		  ///
 		  /// \sa InDegMap
 		  template <typename GR>
 		  class OutDegMap
 		    : protected ItemSetTraits<GR, typename GR::Arc>
 		      ::ItemNotifier::ObserverBase {
 		  public:
 		    /// The graph type of OutDegMap
 		    typedef GR Graph;
 		    typedef GR Digraph;
 		    /// The key type
 		    typedef typename Digraph::Node Key;
 		    /// The value type
 		    typedef int Value;
 		    typedef typename ItemSetTraits<Digraph, typename Digraph::Arc>
 		    ::ItemNotifier::ObserverBase Parent;
 		  private:
 		    class AutoNodeMap
 		      : public ItemSetTraits<Digraph, Key>::template Map<int>::Type {
 		    public:
 		      typedef typename ItemSetTraits<Digraph, Key>::
 		      template Map<int>::Type Parent;
 		      AutoNodeMap(const Digraph& digraph) : Parent(digraph, 0) {}
 		      virtual void add(const Key& key) {
 		        Parent::add(key);
 		        Parent::set(key, 0);
+		      }
 		      virtual void add(const std::vector<Key>& keys) {
 		        Parent::add(keys);
 		        for (int i = 0; i < int(keys.size()); ++i) {
 		          Parent::set(keys[i], 0);
+		        }
+		      }
 		      virtual void build() {
 		        Parent::build();
 		        Key it;
 		        typename Parent::Notifier* nf = Parent::notifier();
 		        for (nf->first(it); it != INVALID; nf->next(it)) {
 		          Parent::set(it, 0);
+		        }
+		      }
 		    };
 		  public:
 		    /// \brief Constructor.
 		    ///
 		    /// Constructor for creating an out-degree map.
 		    explicit OutDegMap(const Digraph& graph)
 		      : _digraph(graph), _deg(graph) {
 		      Parent::attach(_digraph.notifier(typename Digraph::Arc()));
 		      for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
 		        _deg[it] = countOutArcs(_digraph, it);
+		      }
+		    }
 		    /// \brief Gives back the out-degree of a Node.
 		    ///
 		    /// Gives back the out-degree of a Node.
 		    int operator[](const Key& key) const {
 		      return _deg[key];
+		    }
 		  protected:
 		    typedef typename Digraph::Arc Arc;
 		    virtual void add(const Arc& arc) {
 		      ++_deg[_digraph.source(arc)];
+		    }
 		    virtual void add(const std::vector<Arc>& arcs) {
 		      for (int i = 0; i < int(arcs.size()); ++i) {
 		        ++_deg[_digraph.source(arcs[i])];
+		      }
+		    }
 		    virtual void erase(const Arc& arc) {
 		      --_deg[_digraph.source(arc)];
+		    }
 		    virtual void erase(const std::vector<Arc>& arcs) {
 		      for (int i = 0; i < int(arcs.size()); ++i) {
 		        --_deg[_digraph.source(arcs[i])];
+		      }
+		    }
 		    virtual void build() {
 		      for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
 		        _deg[it] = countOutArcs(_digraph, it);
+		      }
+		    }
 		    virtual void clear() {
 		      for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
 		        _deg[it] = 0;
+		      }
+		    }
 		  private:
 		    const Digraph& _digraph;
 		    AutoNodeMap _deg;
 		  };
 		  /// \brief Potential difference map
 		  ///
 		  /// PotentialDifferenceMap returns the difference between the potentials of
 		  /// the source and target nodes of each arc in a digraph, i.e. it returns
 		  /// \code
 		  ///   potential[gr.target(arc)] - potential[gr.source(arc)].
 		  /// \endcode
 		  /// \tparam GR The digraph type.
 		  /// \tparam POT A node map storing the potentials.
 		  template <typename GR, typename POT>
 		  class PotentialDifferenceMap {
 		  public:
 		    /// Key type
 		    typedef typename GR::Arc Key;
 		    /// Value type
 		    typedef typename POT::Value Value;
 		    /// \brief Constructor
 		    ///
 		    /// Contructor of the map.
 		    explicit PotentialDifferenceMap(const GR& gr,
 		                                    const POT& potential)
 		      : _digraph(gr), _potential(potential) {}
 		    /// \brief Returns the potential difference for the given arc.
 		    ///
 		    /// Returns the potential difference for the given arc, i.e.
 		    /// \code
 		    ///   potential[gr.target(arc)] - potential[gr.source(arc)].
 		    /// \endcode
 		    Value operator[](const Key& arc) const {
 		      return _potential[_digraph.target(arc)] -
 		        _potential[_digraph.source(arc)];
+		    }
 		  private:
 		    const GR& _digraph;
 		    const POT& _potential;
 		  };
 		  /// \brief Returns a PotentialDifferenceMap.
 		  ///
 		  /// This function just returns a PotentialDifferenceMap.
 		  /// \relates PotentialDifferenceMap
 		  template <typename GR, typename POT>
 		  PotentialDifferenceMap<GR, POT>
 		  potentialDifferenceMap(const GR& gr, const POT& potential) {
 		    return PotentialDifferenceMap<GR, POT>(gr, potential);
+		  }
 		  /// @}
+		}
 		#endif // LEMON_MAPS_H

test/heap_test.cc

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.
+		 *
 		 */
 		#include <iostream>
 		#include <fstream>
 		#include <string>
 		#include <vector>
 		#include <lemon/concept_check.h>
 		#include <lemon/concepts/heap.h>
 		#include <lemon/smart_graph.h>
 		#include <lemon/lgf_reader.h>
 		#include <lemon/dijkstra.h>
 		#include <lemon/maps.h>
 		#include <lemon/bin_heap.h>
 		#include <lemon/fib_heap.h>
 		#include <lemon/radix_heap.h>
 		#include <lemon/bucket_heap.h>
 		#include "test_tools.h"
 		using namespace lemon;
 		using namespace lemon::concepts;
 		typedef ListDigraph Digraph;
 		DIGRAPH_TYPEDEFS(Digraph);
 		char test_lgf[] =
 		  "@nodes\n"
 		  "label\n"
 		  "0\n"
 		  "1\n"
 		  "2\n"
 		  "3\n"
 		  "4\n"
 		  "5\n"
 		  "6\n"
 		  "7\n"
 		  "8\n"
 		  "9\n"
 		  "@arcs\n"
 		  "                label   capacity\n"
 		  "0       5       0       94\n"
 		  "3       9       1       11\n"
 		  "8       7       2       83\n"
 		  "1       2       3       94\n"
 		  "5       7       4       35\n"
 		  "7       4       5       84\n"
 		  "9       5       6       38\n"
 		  "0       4       7       96\n"
 		  "6       7       8       6\n"
 		  "3       1       9       27\n"
 		  "5       2       10      77\n"
 		  "5       6       11      69\n"
 		  "6       5       12      41\n"
 		  "4       6       13      70\n"
 		  "3       2       14      45\n"
 		  "7       9       15      93\n"
 		  "5       9       16      50\n"
 		  "9       0       17      94\n"
 		  "9       6       18      67\n"
 		  "0       9       19      86\n"
 		  "@attributes\n"
 		  "source 3\n";
 		int test_seq[] = { 2, 28, 19, 27, 33, 25, 13, 41, 10, 26,  1,  9,  4, 34};
 		int test_inc[] = {20, 28, 34, 16,  0, 46, 44,  0, 42, 32, 14,  8,  6, 37};
 		int test_len = sizeof(test_seq) / sizeof(test_seq[0]);
 		template <typename Heap>
 		void heapSortTest() {
 		  RangeMap<int> map(test_len, -1);
 		  Heap heap(map);
 		  std::vector<int> v(test_len);
 		  for (int i = 0; i < test_len; ++i) {
 		    v[i] = test_seq[i];
 		    heap.push(i, v[i]);
+		  }
 		  std::sort(v.begin(), v.end());
 		  for (int i = 0; i < test_len; ++i) {
 		    check(v[i] == heap.prio() ,"Wrong order in heap sort.");
 		    heap.pop();
+		  }
+		}
 		template <typename Heap>
 		void heapIncreaseTest() {
 		  RangeMap<int> map(test_len, -1);
 		  Heap heap(map);
 		  std::vector<int> v(test_len);
 		  for (int i = 0; i < test_len; ++i) {
 		    v[i] = test_seq[i];
 		    heap.push(i, v[i]);
+		  }
 		  for (int i = 0; i < test_len; ++i) {
 		    v[i] += test_inc[i];
 		    heap.increase(i, v[i]);
+		  }
 		  std::sort(v.begin(), v.end());
 		  for (int i = 0; i < test_len; ++i) {
 		    check(v[i] == heap.prio() ,"Wrong order in heap increase test.");
 		    heap.pop();
+		  }
+		}
 		template <typename Heap>
 		void dijkstraHeapTest(const Digraph& digraph, const IntArcMap& length,
 		                      Node source) {
 		  typename Dijkstra<Digraph, IntArcMap>::template SetStandardHeap<Heap>::
 		    Create dijkstra(digraph, length);
 		  dijkstra.run(source);
 		  for(ArcIt a(digraph); a != INVALID; ++a) {
 		    Node s = digraph.source(a);
 		    Node t = digraph.target(a);
 		    if (dijkstra.reached(s)) {
 		      check( dijkstra.dist(t) - dijkstra.dist(s) <= length[a],
 		             "Error in a shortest path tree!");
+		    }
+		  }
 		  for(NodeIt n(digraph); n != INVALID; ++n) {
 		    if ( dijkstra.reached(n) && dijkstra.predArc(n) != INVALID ) {
 		      Arc a = dijkstra.predArc(n);
 		      Node s = digraph.source(a);
 		      check( dijkstra.dist(n) - dijkstra.dist(s) == length[a],
 		             "Error in a shortest path tree!");
+		    }
+		  }
+		}
 		int main() {
 		  typedef int Item;
 		  typedef int Prio;
 		  typedef RangeMap<int> ItemIntMap;
 		  Digraph digraph;
 		  IntArcMap length(digraph);
 		  Node source;
 		  std::istringstream input(test_lgf);
 		  digraphReader(digraph, input).
 		    arcMap("capacity", length).
 		    node("source", source).
 		    run();
+		  {
 		    typedef BinHeap<Prio, ItemIntMap> IntHeap;
 		    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
 		    heapSortTest<IntHeap>();
 		    heapIncreaseTest<IntHeap>();
 		    typedef BinHeap<Prio, IntNodeMap > NodeHeap;
 		    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
 		    dijkstraHeapTest<NodeHeap>(digraph, length, source);
+		  }
+		  {
 		    typedef FibHeap<Prio, ItemIntMap> IntHeap;
 		    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
 		    heapSortTest<IntHeap>();
 		    heapIncreaseTest<IntHeap>();
 		    typedef FibHeap<Prio, IntNodeMap > NodeHeap;
 		    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
 		    dijkstraHeapTest<NodeHeap>(digraph, length, source);
+		  }
+		  {
 		    typedef RadixHeap<ItemIntMap> IntHeap;
 		    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
 		    heapSortTest<IntHeap>();
 		    heapIncreaseTest<IntHeap>();
 		    typedef RadixHeap<IntNodeMap > NodeHeap;
 		    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
 		    dijkstraHeapTest<NodeHeap>(digraph, length, source);
+		  }
+		  {
 		    typedef BucketHeap<ItemIntMap> IntHeap;
 		    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
 		    heapSortTest<IntHeap>();
 		    heapIncreaseTest<IntHeap>();
 		    typedef BucketHeap<IntNodeMap > NodeHeap;
 		    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
 		    dijkstraHeapTest<NodeHeap>(digraph, length, source);
+		  }
 		  return 0;
+		}

test/maps_test.cc

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.
+		 *
 		 */
 		#include <deque>
 		#include <set>
 		#include <lemon/concept_check.h>
 		#include <lemon/concepts/maps.h>
 		#include <lemon/maps.h>
 		#include <lemon/list_graph.h>
 		#include <lemon/smart_graph.h>
 		#include "test_tools.h"
 		using namespace lemon;
 		using namespace lemon::concepts;
 		struct A {};
 		inline bool operator<(A, A) { return true; }
 		struct B {};
 		class C {
 		  int x;
 		public:
 		  C(int _x) : x(_x) {}
 		};
 		class F {
 		public:
 		  typedef A argument_type;
 		  typedef B result_type;
 		  B operator()(const A&) const { return B(); }
 		private:
 		  F& operator=(const F&);
 		};
 		int func(A) { return 3; }
 		int binc(int a, B) { return a+1; }
 		typedef ReadMap<A, double> DoubleMap;
 		typedef ReadWriteMap<A, double> DoubleWriteMap;
 		typedef ReferenceMap<A, double, double&, const double&> DoubleRefMap;
 		typedef ReadMap<A, bool> BoolMap;
 		typedef ReadWriteMap<A, bool> BoolWriteMap;
 		typedef ReferenceMap<A, bool, bool&, const bool&> BoolRefMap;
 		int main()
+		{
 		  // Map concepts
 		  checkConcept<ReadMap<A,B>, ReadMap<A,B> >();
 		  checkConcept<ReadMap<A,C>, ReadMap<A,C> >();
 		  checkConcept<WriteMap<A,B>, WriteMap<A,B> >();
 		  checkConcept<WriteMap<A,C>, WriteMap<A,C> >();
 		  checkConcept<ReadWriteMap<A,B>, ReadWriteMap<A,B> >();
 		  checkConcept<ReadWriteMap<A,C>, ReadWriteMap<A,C> >();
 		  checkConcept<ReferenceMap<A,B,B&,const B&>, ReferenceMap<A,B,B&,const B&> >();
 		  checkConcept<ReferenceMap<A,C,C&,const C&>, ReferenceMap<A,C,C&,const C&> >();
 		  // NullMap
+		  {
 		    checkConcept<ReadWriteMap<A,B>, NullMap<A,B> >();
 		    NullMap<A,B> map1;
 		    NullMap<A,B> map2 = map1;
 		    map1 = nullMap<A,B>();
+		  }
 		  // ConstMap
+		  {
 		    checkConcept<ReadWriteMap<A,B>, ConstMap<A,B> >();
 		    checkConcept<ReadWriteMap<A,C>, ConstMap<A,C> >();
 		    ConstMap<A,B> map1;
 		    ConstMap<A,B> map2 = B();
 		    ConstMap<A,B> map3 = map1;
 		    map1 = constMap<A>(B());
 		    map1 = constMap<A,B>();
 		    map1.setAll(B());
 		    ConstMap<A,C> map4(C(1));
 		    ConstMap<A,C> map5 = map4;
 		    map4 = constMap<A>(C(2));
 		    map4.setAll(C(3));
 		    checkConcept<ReadWriteMap<A,int>, ConstMap<A,int> >();
 		    check(constMap<A>(10)[A()] == 10, "Something is wrong with ConstMap");
 		    checkConcept<ReadWriteMap<A,int>, ConstMap<A,Const<int,10> > >();
 		    ConstMap<A,Const<int,10> > map6;
 		    ConstMap<A,Const<int,10> > map7 = map6;
 		    map6 = constMap<A,int,10>();
 		    map7 = constMap<A,Const<int,10> >();
 		    check(map6[A()] == 10 && map7[A()] == 10,
 		          "Something is wrong with ConstMap");
+		  }
 		  // IdentityMap
+		  {
 		    checkConcept<ReadMap<A,A>, IdentityMap<A> >();
 		    IdentityMap<A> map1;
 		    IdentityMap<A> map2 = map1;
 		    map1 = identityMap<A>();
 		    checkConcept<ReadMap<double,double>, IdentityMap<double> >();
 		    check(identityMap<double>()[1.0] == 1.0 &&
 		          identityMap<double>()[3.14] == 3.14,
 		          "Something is wrong with IdentityMap");
+		  }
 		  // RangeMap
+		  {
 		    checkConcept<ReferenceMap<int,B,B&,const B&>, RangeMap<B> >();
 		    RangeMap<B> map1;
 		    RangeMap<B> map2(10);
 		    RangeMap<B> map3(10,B());
 		    RangeMap<B> map4 = map1;
 		    RangeMap<B> map5 = rangeMap<B>();
 		    RangeMap<B> map6 = rangeMap<B>(10);
 		    RangeMap<B> map7 = rangeMap(10,B());
 		    checkConcept< ReferenceMap<int, double, double&, const double&>,
 		                  RangeMap<double> >();
 		    std::vector<double> v(10, 0);
 		    v[5] = 100;
 		    RangeMap<double> map8(v);
 		    RangeMap<double> map9 = rangeMap(v);
 		    check(map9.size() == 10 && map9[2] == 0 && map9[5] == 100,
 		          "Something is wrong with RangeMap");
+		  }
 		  // SparseMap
+		  {
 		    checkConcept<ReferenceMap<A,B,B&,const B&>, SparseMap<A,B> >();
 		    SparseMap<A,B> map1;
 		    SparseMap<A,B> map2 = B();
 		    SparseMap<A,B> map3 = sparseMap<A,B>();
 		    SparseMap<A,B> map4 = sparseMap<A>(B());
 		    checkConcept< ReferenceMap<double, int, int&, const int&>,
 		                  SparseMap<double, int> >();
 		    std::map<double, int> m;
 		    SparseMap<double, int> map5(m);
 		    SparseMap<double, int> map6(m,10);
 		    SparseMap<double, int> map7 = sparseMap(m);
 		    SparseMap<double, int> map8 = sparseMap(m,10);
 		    check(map5[1.0] == 0 && map5[3.14] == 0 &&
 		          map6[1.0] == 10 && map6[3.14] == 10,
 		          "Something is wrong with SparseMap");
 		    map5[1.0] = map6[3.14] = 100;
 		    check(map5[1.0] == 100 && map5[3.14] == 0 &&
 		          map6[1.0] == 10 && map6[3.14] == 100,
 		          "Something is wrong with SparseMap");
+		  }
 		  // ComposeMap
+		  {
 		    typedef ComposeMap<DoubleMap, ReadMap<B,A> > CompMap;
 		    checkConcept<ReadMap<B,double>, CompMap>();
 		    CompMap map1 = CompMap(DoubleMap(),ReadMap<B,A>());
 		    CompMap map2 = composeMap(DoubleMap(), ReadMap<B,A>());
 		    SparseMap<double, bool> m1(false); m1[3.14] = true;
 		    RangeMap<double> m2(2); m2[0] = 3.0; m2[1] = 3.14;
 		    check(!composeMap(m1,m2)[0] && composeMap(m1,m2)[1],
 		          "Something is wrong with ComposeMap")
+		  }
 		  // CombineMap
+		  {
 		    typedef CombineMap<DoubleMap, DoubleMap, std::plus<double> > CombMap;
 		    checkConcept<ReadMap<A,double>, CombMap>();
 		    CombMap map1 = CombMap(DoubleMap(), DoubleMap());
 		    CombMap map2 = combineMap(DoubleMap(), DoubleMap(), std::plus<double>());
 		    check(combineMap(constMap<B,int,2>(), identityMap<B>(), &binc)[B()] == 3,
 		          "Something is wrong with CombineMap");
+		  }
 		  // FunctorToMap, MapToFunctor
+		  {
 		    checkConcept<ReadMap<A,B>, FunctorToMap<F,A,B> >();
 		    checkConcept<ReadMap<A,B>, FunctorToMap<F> >();
 		    FunctorToMap<F> map1;
 		    FunctorToMap<F> map2 = FunctorToMap<F>(F());
 		    B b = functorToMap(F())[A()];
 		    checkConcept<ReadMap<A,B>, MapToFunctor<ReadMap<A,B> > >();
 		    MapToFunctor<ReadMap<A,B> > map = MapToFunctor<ReadMap<A,B> >(ReadMap<A,B>());
 		    check(functorToMap(&func)[A()] == 3,
 		          "Something is wrong with FunctorToMap");
 		    check(mapToFunctor(constMap<A,int>(2))(A()) == 2,
 		          "Something is wrong with MapToFunctor");
 		    check(mapToFunctor(functorToMap(&func))(A()) == 3 &&
 		          mapToFunctor(functorToMap(&func))[A()] == 3,
 		          "Something is wrong with FunctorToMap or MapToFunctor");
 		    check(functorToMap(mapToFunctor(constMap<A,int>(2)))[A()] == 2,
 		          "Something is wrong with FunctorToMap or MapToFunctor");
+		  }
 		  // ConvertMap
+		  {
 		    checkConcept<ReadMap<double,double>,
 		      ConvertMap<ReadMap<double, int>, double> >();
 		    ConvertMap<RangeMap<bool>, int> map1(rangeMap(1, true));
 		    ConvertMap<RangeMap<bool>, int> map2 = convertMap<int>(rangeMap(2, false));
+		  }
 		  // ForkMap
+		  {
 		    checkConcept<DoubleWriteMap, ForkMap<DoubleWriteMap, DoubleWriteMap> >();
 		    typedef RangeMap<double> RM;
 		    typedef SparseMap<int, double> SM;
 		    RM m1(10, -1);
 		    SM m2(-1);
 		    checkConcept<ReadWriteMap<int, double>, ForkMap<RM, SM> >();
 		    checkConcept<ReadWriteMap<int, double>, ForkMap<SM, RM> >();
 		    ForkMap<RM, SM> map1(m1,m2);
 		    ForkMap<SM, RM> map2 = forkMap(m2,m1);
 		    map2.set(5, 10);
 		    check(m1[1] == -1 && m1[5] == 10 && m2[1] == -1 &&
 		          m2[5] == 10 && map2[1] == -1 && map2[5] == 10,
 		          "Something is wrong with ForkMap");
+		  }
 		  // Arithmetic maps:
 		  // - AddMap, SubMap, MulMap, DivMap
 		  // - ShiftMap, ShiftWriteMap, ScaleMap, ScaleWriteMap
 		  // - NegMap, NegWriteMap, AbsMap
+		  {
 		    checkConcept<DoubleMap, AddMap<DoubleMap,DoubleMap> >();
 		    checkConcept<DoubleMap, SubMap<DoubleMap,DoubleMap> >();
 		    checkConcept<DoubleMap, MulMap<DoubleMap,DoubleMap> >();
 		    checkConcept<DoubleMap, DivMap<DoubleMap,DoubleMap> >();
 		    ConstMap<int, double> c1(1.0), c2(3.14);
 		    IdentityMap<int> im;
 		    ConvertMap<IdentityMap<int>, double> id(im);
 		    check(addMap(c1,id)[0] == 1.0  && addMap(c1,id)[10] == 11.0,
 		          "Something is wrong with AddMap");
 		    check(subMap(id,c1)[0] == -1.0 && subMap(id,c1)[10] == 9.0,
 		          "Something is wrong with SubMap");
 		    check(mulMap(id,c2)[0] == 0    && mulMap(id,c2)[2]  == 6.28,
 		          "Something is wrong with MulMap");
 		    check(divMap(c2,id)[1] == 3.14 && divMap(c2,id)[2]  == 1.57,
 		          "Something is wrong with DivMap");
 		    checkConcept<DoubleMap, ShiftMap<DoubleMap> >();
 		    checkConcept<DoubleWriteMap, ShiftWriteMap<DoubleWriteMap> >();
 		    checkConcept<DoubleMap, ScaleMap<DoubleMap> >();
 		    checkConcept<DoubleWriteMap, ScaleWriteMap<DoubleWriteMap> >();
 		    checkConcept<DoubleMap, NegMap<DoubleMap> >();
 		    checkConcept<DoubleWriteMap, NegWriteMap<DoubleWriteMap> >();
 		    checkConcept<DoubleMap, AbsMap<DoubleMap> >();
 		    check(shiftMap(id, 2.0)[1] == 3.0 && shiftMap(id, 2.0)[10] == 12.0,
 		          "Something is wrong with ShiftMap");
 		    check(shiftWriteMap(id, 2.0)[1] == 3.0 &&
 		          shiftWriteMap(id, 2.0)[10] == 12.0,
 		          "Something is wrong with ShiftWriteMap");
 		    check(scaleMap(id, 2.0)[1] == 2.0 && scaleMap(id, 2.0)[10] == 20.0,
 		          "Something is wrong with ScaleMap");
 		    check(scaleWriteMap(id, 2.0)[1] == 2.0 &&
 		          scaleWriteMap(id, 2.0)[10] == 20.0,
 		          "Something is wrong with ScaleWriteMap");
 		    check(negMap(id)[1] == -1.0 && negMap(id)[-10] == 10.0,
 		          "Something is wrong with NegMap");
 		    check(negWriteMap(id)[1] == -1.0 && negWriteMap(id)[-10] == 10.0,
 		          "Something is wrong with NegWriteMap");
 		    check(absMap(id)[1] == 1.0 && absMap(id)[-10] == 10.0,
 		          "Something is wrong with AbsMap");
+		  }
 		  // Logical maps:
 		  // - TrueMap, FalseMap
 		  // - AndMap, OrMap
 		  // - NotMap, NotWriteMap
 		  // - EqualMap, LessMap
+		  {
 		    checkConcept<BoolMap, TrueMap<A> >();
 		    checkConcept<BoolMap, FalseMap<A> >();
 		    checkConcept<BoolMap, AndMap<BoolMap,BoolMap> >();
 		    checkConcept<BoolMap, OrMap<BoolMap,BoolMap> >();
 		    checkConcept<BoolMap, NotMap<BoolMap> >();
 		    checkConcept<BoolWriteMap, NotWriteMap<BoolWriteMap> >();
 		    checkConcept<BoolMap, EqualMap<DoubleMap,DoubleMap> >();
 		    checkConcept<BoolMap, LessMap<DoubleMap,DoubleMap> >();
 		    TrueMap<int> tm;
 		    FalseMap<int> fm;
 		    RangeMap<bool> rm(2);
 		    rm[0] = true; rm[1] = false;
 		    check(andMap(tm,rm)[0] && !andMap(tm,rm)[1] &&
 		          !andMap(fm,rm)[0] && !andMap(fm,rm)[1],
 		          "Something is wrong with AndMap");
 		    check(orMap(tm,rm)[0] && orMap(tm,rm)[1] &&
 		          orMap(fm,rm)[0] && !orMap(fm,rm)[1],
 		          "Something is wrong with OrMap");
 		    check(!notMap(rm)[0] && notMap(rm)[1],
 		          "Something is wrong with NotMap");
 		    check(!notWriteMap(rm)[0] && notWriteMap(rm)[1],
 		          "Something is wrong with NotWriteMap");
 		    ConstMap<int, double> cm(2.0);
 		    IdentityMap<int> im;
 		    ConvertMap<IdentityMap<int>, double> id(im);
 		    check(lessMap(id,cm)[1] && !lessMap(id,cm)[2] && !lessMap(id,cm)[3],
 		          "Something is wrong with LessMap");
 		    check(!equalMap(id,cm)[1] && equalMap(id,cm)[2] && !equalMap(id,cm)[3],
 		          "Something is wrong with EqualMap");
+		  }
 		  // LoggerBoolMap
+		  {
 		    typedef std::vector<int> vec;
 		    checkConcept<WriteMap<int, bool>, LoggerBoolMap<vec::iterator> >();
 		    checkConcept<WriteMap<int, bool>,
 		                 LoggerBoolMap<std::back_insert_iterator<vec> > >();
 		    vec v1;
 		    vec v2(10);
 		    LoggerBoolMap<std::back_insert_iterator<vec> >
 		      map1(std::back_inserter(v1));
 		    LoggerBoolMap<vec::iterator> map2(v2.begin());
 		    map1.set(10, false);
 		    map1.set(20, true);   map2.set(20, true);
 		    map1.set(30, false);  map2.set(40, false);
 		    map1.set(50, true);   map2.set(50, true);
 		    map1.set(60, true);   map2.set(60, true);
 		    check(v1.size() == 3 && v2.size() == 10 &&
 		          v1[0]==20 && v1[1]==50 && v1[2]==60 &&
 		          v2[0]==20 && v2[1]==50 && v2[2]==60,
 		          "Something is wrong with LoggerBoolMap");
 		    int i = 0;
 		    for ( LoggerBoolMap<vec::iterator>::Iterator it = map2.begin();
 		          it != map2.end(); ++it )
 		      check(v1[i++] == *it, "Something is wrong with LoggerBoolMap");
+		  }
 		  // IdMap, RangeIdMap
+		  {
 		    typedef ListDigraph Graph;
 		    DIGRAPH_TYPEDEFS(Graph);
 		    checkConcept<ReadMap<Node, int>, IdMap<Graph, Node> >();
 		    checkConcept<ReadMap<Arc, int>, IdMap<Graph, Arc> >();
 		    checkConcept<ReadMap<Node, int>, RangeIdMap<Graph, Node> >();
 		    checkConcept<ReadMap<Arc, int>, RangeIdMap<Graph, Arc> >();
 		    Graph gr;
 		    IdMap<Graph, Node> nmap(gr);
 		    IdMap<Graph, Arc> amap(gr);
 		    RangeIdMap<Graph, Node> nrmap(gr);
 		    RangeIdMap<Graph, Arc> armap(gr);
 		    Node n0 = gr.addNode();
 		    Node n1 = gr.addNode();
 		    Node n2 = gr.addNode();
 		    Arc a0 = gr.addArc(n0, n1);
 		    Arc a1 = gr.addArc(n0, n2);
 		    Arc a2 = gr.addArc(n2, n1);
 		    Arc a3 = gr.addArc(n2, n0);
 		    check(nmap[n0] == gr.id(n0) && nmap(gr.id(n0)) == n0, "Wrong IdMap");
 		    check(nmap[n1] == gr.id(n1) && nmap(gr.id(n1)) == n1, "Wrong IdMap");
 		    check(nmap[n2] == gr.id(n2) && nmap(gr.id(n2)) == n2, "Wrong IdMap");
 		    check(amap[a0] == gr.id(a0) && amap(gr.id(a0)) == a0, "Wrong IdMap");
 		    check(amap[a1] == gr.id(a1) && amap(gr.id(a1)) == a1, "Wrong IdMap");
 		    check(amap[a2] == gr.id(a2) && amap(gr.id(a2)) == a2, "Wrong IdMap");
 		    check(amap[a3] == gr.id(a3) && amap(gr.id(a3)) == a3, "Wrong IdMap");
 		    check(nmap.inverse()[gr.id(n0)] == n0, "Wrong IdMap::InverseMap");
 		    check(amap.inverse()[gr.id(a0)] == a0, "Wrong IdMap::InverseMap");
 		    check(nrmap.size() == 3 && armap.size() == 4,
 		          "Wrong RangeIdMap::size()");
 		    check(nrmap[n0] == 0 && nrmap(0) == n0, "Wrong RangeIdMap");
 		    check(nrmap[n1] == 1 && nrmap(1) == n1, "Wrong RangeIdMap");
 		    check(nrmap[n2] == 2 && nrmap(2) == n2, "Wrong RangeIdMap");
 		    check(armap[a0] == 0 && armap(0) == a0, "Wrong RangeIdMap");
 		    check(armap[a1] == 1 && armap(1) == a1, "Wrong RangeIdMap");
 		    check(armap[a2] == 2 && armap(2) == a2, "Wrong RangeIdMap");
 		    check(armap[a3] == 3 && armap(3) == a3, "Wrong RangeIdMap");
 		    check(nrmap.inverse()[0] == n0, "Wrong RangeIdMap::InverseMap");
 		    check(armap.inverse()[0] == a0, "Wrong RangeIdMap::InverseMap");
 		    gr.erase(n1);
 		    if (nrmap[n0] == 1) nrmap.swap(n0, n2);
 		    nrmap.swap(n2, n0);
 		    if (armap[a1] == 1) armap.swap(a1, a3);
 		    armap.swap(a3, a1);
 		    check(nrmap.size() == 2 && armap.size() == 2,
 		          "Wrong RangeIdMap::size()");
 		    check(nrmap[n0] == 1 && nrmap(1) == n0, "Wrong RangeIdMap");
 		    check(nrmap[n2] == 0 && nrmap(0) == n2, "Wrong RangeIdMap");
 		    check(armap[a1] == 1 && armap(1) == a1, "Wrong RangeIdMap");
 		    check(armap[a3] == 0 && armap(0) == a3, "Wrong RangeIdMap");
 		    check(nrmap.inverse()[0] == n2, "Wrong RangeIdMap::InverseMap");
 		    check(armap.inverse()[0] == a3, "Wrong RangeIdMap::InverseMap");
+		  }
 		  // CrossRefMap
+		  {
 		    typedef ListDigraph Graph;
 		    DIGRAPH_TYPEDEFS(Graph);
 		    checkConcept<ReadWriteMap<Node, int>,
 		                 CrossRefMap<Graph, Node, int> >();
 		    checkConcept<ReadWriteMap<Node, bool>,
 		                 CrossRefMap<Graph, Node, bool> >();
 		    checkConcept<ReadWriteMap<Node, double>,
 		                 CrossRefMap<Graph, Node, double> >();
 		    Graph gr;
 		    typedef CrossRefMap<Graph, Node, char> CRMap;
 		    typedef CRMap::ValueIterator ValueIt;
 		    CRMap map(gr);
 		    Node n0 = gr.addNode();
 		    Node n1 = gr.addNode();
 		    Node n2 = gr.addNode();
 		    map.set(n0, 'A');
 		    map.set(n1, 'B');
 		    map.set(n2, 'C');
 		    check(map[n0] == 'A' && map('A') == n0 && map.inverse()['A'] == n0,
 		          "Wrong CrossRefMap");
 		    check(map[n1] == 'B' && map('B') == n1 && map.inverse()['B'] == n1,
 		          "Wrong CrossRefMap");
 		    check(map[n2] == 'C' && map('C') == n2 && map.inverse()['C'] == n2,
 		          "Wrong CrossRefMap");
 		    check(map.count('A') == 1 && map.count('B') == 1 && map.count('C') == 1,
 		          "Wrong CrossRefMap::count()");
 		    ValueIt it = map.beginValue();
 		    check(*it++ == 'A' && *it++ == 'B' && *it++ == 'C' &&
 		          it == map.endValue(), "Wrong value iterator");
 		    map.set(n2, 'A');
 		    check(map[n0] == 'A' && map[n1] == 'B' && map[n2] == 'A',
 		          "Wrong CrossRefMap");
 		    check(map('A') == n0 && map.inverse()['A'] == n0, "Wrong CrossRefMap");
 		    check(map('B') == n1 && map.inverse()['B'] == n1, "Wrong CrossRefMap");
 		    check(map('C') == INVALID && map.inverse()['C'] == INVALID,
 		          "Wrong CrossRefMap");
 		    check(map.count('A') == 2 && map.count('B') == 1 && map.count('C') == 0,
 		          "Wrong CrossRefMap::count()");
 		    it = map.beginValue();
 		    check(*it++ == 'A' && *it++ == 'A' && *it++ == 'B' &&
 		          it == map.endValue(), "Wrong value iterator");
 		    map.set(n0, 'C');
 		    check(map[n0] == 'C' && map[n1] == 'B' && map[n2] == 'A',
 		          "Wrong CrossRefMap");
 		    check(map('A') == n2 && map.inverse()['A'] == n2, "Wrong CrossRefMap");
 		    check(map('B') == n1 && map.inverse()['B'] == n1, "Wrong CrossRefMap");
 		    check(map('C') == n0 && map.inverse()['C'] == n0, "Wrong CrossRefMap");
 		    check(map.count('A') == 1 && map.count('B') == 1 && map.count('C') == 1,
 		          "Wrong CrossRefMap::count()");
 		    it = map.beginValue();
 		    check(*it++ == 'A' && *it++ == 'B' && *it++ == 'C' &&
 		          it == map.endValue(), "Wrong value iterator");
+		  }
 		  // Iterable bool map
+		  {
 		    typedef SmartGraph Graph;
 		    typedef SmartGraph::Node Item;
 		    typedef IterableBoolMap<SmartGraph, SmartGraph::Node> Ibm;
 		    checkConcept<ReferenceMap<Item, bool, bool&, const bool&>, Ibm>();
 		    const int num = 10;
 		    Graph g;
 		    std::vector<Item> items;
 		    for (int i = 0; i < num; ++i) {
 		      items.push_back(g.addNode());
+		    }
 		    Ibm map1(g, true);
 		    int n = 0;
 		    for (Ibm::TrueIt it(map1); it != INVALID; ++it) {
 		      check(map1[static_cast<Item>(it)], "Wrong TrueIt");
 		      ++n;
+		    }
 		    check(n == num, "Wrong number");
 		    n = 0;
 		    for (Ibm::ItemIt it(map1, true); it != INVALID; ++it) {
 		        check(map1[static_cast<Item>(it)], "Wrong ItemIt for true");
 		        ++n;
+		    }
 		    check(n == num, "Wrong number");
 		    check(Ibm::FalseIt(map1) == INVALID, "Wrong FalseIt");
 		    check(Ibm::ItemIt(map1, false) == INVALID, "Wrong ItemIt for false");
 		    map1[items[5]] = true;
 		    n = 0;
 		    for (Ibm::ItemIt it(map1, true); it != INVALID; ++it) {
 		        check(map1[static_cast<Item>(it)], "Wrong ItemIt for true");
 		        ++n;
+		    }
 		    check(n == num, "Wrong number");
 		    map1[items[num / 2]] = false;
 		    check(map1[items[num / 2]] == false, "Wrong map value");
 		    n = 0;
 		    for (Ibm::TrueIt it(map1); it != INVALID; ++it) {
 		        check(map1[static_cast<Item>(it)], "Wrong TrueIt for true");
 		        ++n;
+		    }
 		    check(n == num - 1, "Wrong number");
 		    n = 0;
 		    for (Ibm::FalseIt it(map1); it != INVALID; ++it) {
 		        check(!map1[static_cast<Item>(it)], "Wrong FalseIt for true");
 		        ++n;
+		    }
 		    check(n == 1, "Wrong number");
 		    map1[items[0]] = false;
 		    check(map1[items[0]] == false, "Wrong map value");
 		    map1[items[num - 1]] = false;
 		    check(map1[items[num - 1]] == false, "Wrong map value");
 		    n = 0;
 		    for (Ibm::TrueIt it(map1); it != INVALID; ++it) {
 		        check(map1[static_cast<Item>(it)], "Wrong TrueIt for true");
 		        ++n;
+		    }
 		    check(n == num - 3, "Wrong number");
 		    check(map1.trueNum() == num - 3, "Wrong number");
 		    n = 0;
 		    for (Ibm::FalseIt it(map1); it != INVALID; ++it) {
 		        check(!map1[static_cast<Item>(it)], "Wrong FalseIt for true");
 		        ++n;
+		    }
 		    check(n == 3, "Wrong number");
 		    check(map1.falseNum() == 3, "Wrong number");
+		  }
 		  // Iterable int map
+		  {
 		    typedef SmartGraph Graph;
 		    typedef SmartGraph::Node Item;
 		    typedef IterableIntMap<SmartGraph, SmartGraph::Node> Iim;
 		    checkConcept<ReferenceMap<Item, int, int&, const int&>, Iim>();
 		    const int num = 10;
 		    Graph g;
 		    std::vector<Item> items;
 		    for (int i = 0; i < num; ++i) {
 		      items.push_back(g.addNode());
+		    }
 		    Iim map1(g);
 		    check(map1.size() == 0, "Wrong size");
 		    for (int i = 0; i < num; ++i) {
 		      map1[items[i]] = i;
+		    }
 		    check(map1.size() == num, "Wrong size");
 		    for (int i = 0; i < num; ++i) {
 		      Iim::ItemIt it(map1, i);
 		      check(static_cast<Item>(it) == items[i], "Wrong value");
 		      ++it;
 		      check(static_cast<Item>(it) == INVALID, "Wrong value");
+		    }
 		    for (int i = 0; i < num; ++i) {
 		      map1[items[i]] = i % 2;
+		    }
 		    check(map1.size() == 2, "Wrong size");
 		    int n = 0;
 		    for (Iim::ItemIt it(map1, 0); it != INVALID; ++it) {
 		      check(map1[static_cast<Item>(it)] == 0, "Wrong value");
 		      ++n;
+		    }
 		    check(n == (num + 1) / 2, "Wrong number");
 		    for (Iim::ItemIt it(map1, 1); it != INVALID; ++it) {
 		      check(map1[static_cast<Item>(it)] == 1, "Wrong value");
 		      ++n;
+		    }
 		    check(n == num, "Wrong number");
+		  }
 		  // Iterable value map
+		  {
 		    typedef SmartGraph Graph;
 		    typedef SmartGraph::Node Item;
 		    typedef IterableValueMap<SmartGraph, SmartGraph::Node, double> Ivm;
 		    checkConcept<ReadWriteMap<Item, double>, Ivm>();
 		    const int num = 10;
 		    Graph g;
 		    std::vector<Item> items;
 		    for (int i = 0; i < num; ++i) {
 		      items.push_back(g.addNode());
+		    }
 		    Ivm map1(g, 0.0);
 		    check(distance(map1.beginValue(), map1.endValue()) == 1, "Wrong size");
 		    check(*map1.beginValue() == 0.0, "Wrong value");
 		    for (int i = 0; i < num; ++i) {
 		      map1.set(items[i], static_cast<double>(i));
+		    }
 		    check(distance(map1.beginValue(), map1.endValue()) == num, "Wrong size");
 		    for (int i = 0; i < num; ++i) {
 		      Ivm::ItemIt it(map1, static_cast<double>(i));
 		      check(static_cast<Item>(it) == items[i], "Wrong value");
 		      ++it;
 		      check(static_cast<Item>(it) == INVALID, "Wrong value");
+		    }
 		    for (Ivm::ValueIterator vit = map1.beginValue();
 		         vit != map1.endValue(); ++vit) {
 		      check(map1[static_cast<Item>(Ivm::ItemIt(map1, *vit))] == *vit,
 		            "Wrong ValueIterator");
+		    }
 		    for (int i = 0; i < num; ++i) {
 		      map1.set(items[i], static_cast<double>(i % 2));
+		    }
 		    check(distance(map1.beginValue(), map1.endValue()) == 2, "Wrong size");
 		    int n = 0;
 		    for (Ivm::ItemIt it(map1, 0.0); it != INVALID; ++it) {
 		      check(map1[static_cast<Item>(it)] == 0.0, "Wrong value");
 		      ++n;
+		    }
 		    check(n == (num + 1) / 2, "Wrong number");
 		    for (Ivm::ItemIt it(map1, 1.0); it != INVALID; ++it) {
 		      check(map1[static_cast<Item>(it)] == 1.0, "Wrong value");
 		      ++n;
+		    }
 		    check(n == num, "Wrong number");
+		  }
 		  return 0;
+		}

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