LEMON/LEMON-official Changeset - r772:11404088d1a5

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Changeset - r772:11404088d1a5

« 771:d8073d

773:3fc2a8 »

r772:11404088d1a5

Fri, 25 Sep 2009 12:24:16

[Not Reviewed]

0 comments (0 inline)

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

Add creator functions for IdMap and RangeIdMap (#302)

0 1 0

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1 file changed with 17 insertions and 0 deletions:

lemon/maps.h

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lemon/maps.h

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@@ -1134,1999 +1134,2016 @@
 		  ///
 		  /// \sa ScaleMap
 		  template<typename M, typename C = typename M::Value>
 		  class ScaleWriteMap : public MapBase<typename M::Key, typename M::Value> {
 		    M &_m;
 		    C _v;
 		  public:
 		    ///\e
 		    typedef typename M::Key Key;
 		    ///\e
 		    typedef typename M::Value Value;
 		    /// Constructor
 		    /// Constructor.
 		    /// \param m The undelying map.
 		    /// \param v The constant value.
 		    ScaleWriteMap(M &m, const C &v) : _m(m), _v(v) {}
 		    ///\e
 		    Value operator[](const Key &k) const { return _v*_m[k]; }
 		    ///\e
 		    void set(const Key &k, const Value &v) { _m.set(k, v/_v); }
 		  };
 		  /// Returns a \c ScaleMap class
 		  /// This function just returns a \c ScaleMap class.
 		  ///
 		  /// For example, if \c m is a map with \c double values and \c v is
 		  /// \c double, then <tt>scaleMap(m,v)[x]</tt> will be equal to
 		  /// <tt>v*m[x]</tt>.
 		  ///
 		  /// \relates ScaleMap
 		  template<typename M, typename C>
 		  inline ScaleMap<M, C> scaleMap(const M &m, const C &v) {
 		    return ScaleMap<M, C>(m,v);
+		  }
 		  /// Returns a \c ScaleWriteMap class
 		  /// This function just returns a \c ScaleWriteMap class.
 		  ///
 		  /// For example, if \c m is a map with \c double values and \c v is
 		  /// \c double, then <tt>scaleWriteMap(m,v)[x]</tt> will be equal to
 		  /// <tt>v*m[x]</tt>.
 		  /// Moreover it makes also possible to write the map.
 		  ///
 		  /// \relates ScaleWriteMap
 		  template<typename M, typename C>
 		  inline ScaleWriteMap<M, C> scaleWriteMap(M &m, const C &v) {
 		    return ScaleWriteMap<M, C>(m,v);
+		  }
 		  /// Negative of a map
 		  /// This \ref concepts::ReadMap "read-only map" returns the negative
 		  /// of the values of the given map (using the unary \c - operator).
 		  /// Its \c Key and \c Value are inherited from \c M.
 		  ///
 		  /// If M::Value is \c int, \c double etc., then
 		  /// \code
 		  ///   NegMap<M> neg(m);
 		  /// \endcode
 		  /// is equivalent to
 		  /// \code
 		  ///   ScaleMap<M> neg(m,-1);
 		  /// \endcode
 		  ///
 		  /// The simplest way of using this map is through the negMap()
 		  /// function.
 		  ///
 		  /// \sa NegWriteMap
 		  template<typename M>
 		  class NegMap : public MapBase<typename M::Key, typename M::Value> {
 		    const M& _m;
 		  public:
 		    ///\e
 		    typedef typename M::Key Key;
 		    ///\e
 		    typedef typename M::Value Value;
 		    /// Constructor
 		    NegMap(const M &m) : _m(m) {}
 		    ///\e
 		    Value operator[](const Key &k) const { return -_m[k]; }
 		  };
 		  /// Negative of a map (read-write version)
 		  /// This \ref concepts::ReadWriteMap "read-write map" returns the
 		  /// negative of the values of the given map (using the unary \c -
 		  /// operator).
 		  /// Its \c Key and \c Value are inherited from \c M.
 		  /// It makes also possible to write the map.
 		  ///
 		  /// If M::Value is \c int, \c double etc., then
 		  /// \code
 		  ///   NegWriteMap<M> neg(m);
 		  /// \endcode
 		  /// is equivalent to
 		  /// \code
 		  ///   ScaleWriteMap<M> neg(m,-1);
 		  /// \endcode
 		  ///
 		  /// The simplest way of using this map is through the negWriteMap()
 		  /// function.
 		  ///
 		  /// \sa NegMap
 		  template<typename M>
 		  class NegWriteMap : public MapBase<typename M::Key, typename M::Value> {
 		    M &_m;
 		  public:
 		    ///\e
 		    typedef typename M::Key Key;
 		    ///\e
 		    typedef typename M::Value Value;
 		    /// Constructor
 		    NegWriteMap(M &m) : _m(m) {}
 		    ///\e
 		    Value operator[](const Key &k) const { return -_m[k]; }
 		    ///\e
 		    void set(const Key &k, const Value &v) { _m.set(k, -v); }
 		  };
 		  /// Returns a \c NegMap class
 		  /// This function just returns a \c NegMap class.
 		  ///
 		  /// For example, if \c m is a map with \c double values, then
 		  /// <tt>negMap(m)[x]</tt> will be equal to <tt>-m[x]</tt>.
 		  ///
 		  /// \relates NegMap
 		  template <typename M>
 		  inline NegMap<M> negMap(const M &m) {
 		    return NegMap<M>(m);
+		  }
 		  /// Returns a \c NegWriteMap class
 		  /// This function just returns a \c NegWriteMap class.
 		  ///
 		  /// For example, if \c m is a map with \c double values, then
 		  /// <tt>negWriteMap(m)[x]</tt> will be equal to <tt>-m[x]</tt>.
 		  /// Moreover it makes also possible to write the map.
 		  ///
 		  /// \relates NegWriteMap
 		  template <typename M>
 		  inline NegWriteMap<M> negWriteMap(M &m) {
 		    return NegWriteMap<M>(m);
+		  }
 		  /// Absolute value of a map
 		  /// This \ref concepts::ReadMap "read-only map" returns the absolute
 		  /// value of the values of the given map.
 		  /// Its \c Key and \c Value are inherited from \c M.
 		  /// \c Value must be comparable to \c 0 and the unary \c -
 		  /// operator must be defined for it, of course.
 		  ///
 		  /// The simplest way of using this map is through the absMap()
 		  /// function.
 		  template<typename M>
 		  class AbsMap : public MapBase<typename M::Key, typename M::Value> {
 		    const M &_m;
 		  public:
 		    ///\e
 		    typedef typename M::Key Key;
 		    ///\e
 		    typedef typename M::Value Value;
 		    /// Constructor
 		    AbsMap(const M &m) : _m(m) {}
 		    ///\e
 		    Value operator[](const Key &k) const {
 		      Value tmp = _m[k];
 		      return tmp >= 0 ? tmp : -tmp;
+		    }
 		  };
 		  /// Returns an \c AbsMap class
 		  /// This function just returns an \c AbsMap class.
 		  ///
 		  /// For example, if \c m is a map with \c double values, then
 		  /// <tt>absMap(m)[x]</tt> will be equal to <tt>m[x]</tt> if
 		  /// it is positive or zero and <tt>-m[x]</tt> if <tt>m[x]</tt> is
 		  /// negative.
 		  ///
 		  /// \relates AbsMap
 		  template<typename M>
 		  inline AbsMap<M> absMap(const M &m) {
 		    return AbsMap<M>(m);
+		  }
 		  /// @}
 		  // Logical maps and map adaptors:
 		  /// \addtogroup maps
 		  /// @{
 		  /// Constant \c true map.
 		  /// This \ref concepts::ReadMap "read-only map" assigns \c true to
 		  /// each key.
 		  ///
 		  /// Note that
 		  /// \code
 		  ///   TrueMap<K> tm;
 		  /// \endcode
 		  /// is equivalent to
 		  /// \code
 		  ///   ConstMap<K,bool> tm(true);
 		  /// \endcode
 		  ///
 		  /// \sa FalseMap
 		  /// \sa ConstMap
 		  template <typename K>
 		  class TrueMap : public MapBase<K, bool> {
 		  public:
 		    ///\e
 		    typedef K Key;
 		    ///\e
 		    typedef bool Value;
 		    /// Gives back \c true.
 		    Value operator[](const Key&) const { return true; }
 		  };
 		  /// Returns a \c TrueMap class
 		  /// This function just returns a \c TrueMap class.
 		  /// \relates TrueMap
 		  template<typename K>
 		  inline TrueMap<K> trueMap() {
 		    return TrueMap<K>();
+		  }
 		  /// Constant \c false map.
 		  /// This \ref concepts::ReadMap "read-only map" assigns \c false to
 		  /// each key.
 		  ///
 		  /// Note that
 		  /// \code
 		  ///   FalseMap<K> fm;
 		  /// \endcode
 		  /// is equivalent to
 		  /// \code
 		  ///   ConstMap<K,bool> fm(false);
 		  /// \endcode
 		  ///
 		  /// \sa TrueMap
 		  /// \sa ConstMap
 		  template <typename K>
 		  class FalseMap : public MapBase<K, bool> {
 		  public:
 		    ///\e
 		    typedef K Key;
 		    ///\e
 		    typedef bool Value;
 		    /// Gives back \c false.
 		    Value operator[](const Key&) const { return false; }
 		  };
 		  /// Returns a \c FalseMap class
 		  /// This function just returns a \c FalseMap class.
 		  /// \relates FalseMap
 		  template<typename K>
 		  inline FalseMap<K> falseMap() {
 		    return FalseMap<K>();
+		  }
 		  /// @}
 		  /// \addtogroup map_adaptors
 		  /// @{
 		  /// Logical 'and' of two maps
 		  /// This \ref concepts::ReadMap "read-only map" returns the logical
 		  /// 'and' 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
 		  ///   AndMap<M1,M2> am(m1,m2);
 		  /// \endcode
 		  /// <tt>am[x]</tt> will be equal to <tt>m1[x]&&m2[x]</tt>.
 		  ///
 		  /// The simplest way of using this map is through the andMap()
 		  /// function.
 		  ///
 		  /// \sa OrMap
 		  /// \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
 		  ///  - \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 The inverse map type of IdMap.
 		    ///
 		    /// The inverse map type of IdMap. The subscript operator gives back
 		    /// an item by its id.
 		    /// This type conforms to the \ref concepts::ReadMap "ReadMap" concept.
 		    /// \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 an item by its id.
 		      ///
 		      /// Gives back an item by 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 Returns an \c IdMap class.
 		  ///
 		  /// This function just returns an \c IdMap class.
 		  /// \relates IdMap
 		  template <typename K, typename GR>
 		  inline IdMap<GR, K> idMap(const GR& graph) {
 		    return IdMap<GR, K>(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 graph items can be accessed by their values either using
 		  /// \c InverseMap or \c operator()(), and the values of the map can be
 		  /// accessed with an STL compatible forward iterator (\c ValueIt).
 		  ///
 		  /// This map is intended to be used when all associated values are
 		  /// different (the map is actually invertable) or there are only a few
 		  /// items with the same value.
 		  /// Otherwise consider to use \c IterableValueMap, which is more
 		  /// suitable and more efficient for such cases. It provides iterators
 		  /// to traverse the items with the same associated value, however
 		  /// it does not have \c InverseMap.
 		  ///
 		  /// 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 ValueIt
 		      : public std::iterator<std::forward_iterator_tag, Value> {
 		      friend class CrossRefMap;
 		    private:
 		      ValueIt(typename Container::const_iterator _it)
 		        : it(_it) {}
 		    public:
 		      /// Constructor
 		      ValueIt() {}
 		      /// \e
 		      ValueIt& operator++() { ++it; return *this; }
 		      /// \e
 		      ValueIt operator++(int) {
 		        ValueIt tmp(*this);
 		        operator++();
 		        return tmp;
+		      }
 		      /// \e
 		      const Value& operator*() const { return it->first; }
 		      /// \e
 		      const Value* operator->() const { return &(it->first); }
 		      /// \e
 		      bool operator==(ValueIt jt) const { return it == jt.it; }
 		      /// \e
 		      bool operator!=(ValueIt jt) const { return it != jt.it; }
 		    private:
 		      typename Container::const_iterator it;
 		    };
 		    /// Alias for \c ValueIt
 		    typedef ValueIt ValueIterator;
 		    /// \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.
 		    ValueIt beginValue() const {
 		      return ValueIt(_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.
 		    ValueIt endValue() const {
 		      return ValueIt(_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 of CrossRefMap.
 		    ///
 		    /// The inverse map type of CrossRefMap. The subscript operator gives
 		    /// back an item by its value.
 		    /// This type conforms to the \ref concepts::ReadMap "ReadMap" concept.
 		    /// \see inverse()
 		    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 Gives back the inverse of the map.
 		    ///
 		    /// Gives back the inverse of the CrossRefMap.
 		    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 range \e id of the item
 		    ///
 		    /// Gives back the \e range \e id of the item.
 		    int operator[](const Item& item) const {
 		      return Map::operator[](item);
+		    }
 		    /// \brief Gives back the item belonging to a \e range \e id
 		    ///
 		    /// Gives back the item belonging to the given \e range \e id.
 		    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. The subscript operator gives
 		    /// back an item by its \e range \e id.
 		    /// This type conforms to the \ref concepts::ReadMap "ReadMap" concept.
 		    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 given \e range \e id 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 RangeIdMap.
 		    const InverseMap inverse() const {
 		      return InverseMap(*this);
+		    }
 		  };
 		  /// \brief Returns a \c RangeIdMap class.
 		  ///
 		  /// This function just returns an \c RangeIdMap class.
 		  /// \relates RangeIdMap
 		  template <typename K, typename GR>
 		  inline RangeIdMap<GR, K> rangeIdMap(const GR& graph) {
 		    return RangeIdMap<GR, K>(graph);
+		  }
 		  /// \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 mapped to the value.
 		  ///
 		  /// This type is a reference map, so it can 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).
 		  ///
 		  /// \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 map is intended to be used with small integer values, for which
 		  /// it is efficient, and supports iteration only for non-negative values.
 		  /// If you need large values and/or iteration for negative integers,
 		  /// consider to use \ref IterableValueMap instead.
 		  ///
 		  /// This type is a reference map, so it can be modified with the
 		  /// subscript 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 a
 		  /// 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 (\c ItemIt), and the values of the map can be accessed
 		  /// with an STL compatible forward iterator (\c ValueIt).
 		  /// The map stores a linked list for each value, which contains
 		  /// the items mapped to the value, and the used values are stored
 		  /// in balanced binary tree (\c std::map).
 		  ///
 		  /// \ref IterableBoolMap and \ref IterableIntMap are similar classes
 		  /// specialized for \c bool and \c int values, respectively.
 		  ///
 		  /// 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. 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 ValueIt
 		      : public std::iterator<std::forward_iterator_tag, Value> {
 		      friend class IterableValueMap;
 		    private:
 		      ValueIt(typename std::map<Value, Key>::const_iterator _it)
 		        : it(_it) {}
 		    public:
 		      /// Constructor
 		      ValueIt() {}
 		      /// \e
 		      ValueIt& operator++() { ++it; return *this; }
 		      /// \e
 		      ValueIt operator++(int) {
 		        ValueIt tmp(*this);

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