# HG changeset patch
# User Alpar Juttner <alpar@cs.elte.hu>
# Date 1199479555 -3600
# Node ID ad7f593399b0a500ff7bdc4ac4a3e62fe9708133
# Parent  1f781d1f9b7972b4ff19d0177790b5cf6cb43dbd# Parent  742abd64255e03c86128e1d376e4fde0f907f0e0
Merge

diff -r 1f781d1f9b79 -r ad7f593399b0 lemon/concept_check.h
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/lemon/concept_check.h	Fri Jan 04 21:45:55 2008 +0100
@@ -0,0 +1,105 @@
+/* -*- C++ -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library
+ *
+ * Copyright (C) 2003-2007
+ * 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.
+ *
+ */
+
+// This file contains a modified version of the concept checking
+// utility from BOOST.
+// See the appropriate copyright notice below.
+
+// (C) Copyright Jeremy Siek 2000.
+// Distributed under the Boost Software License, Version 1.0. (See
+// accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+//
+// Revision History:
+//   05 May   2001: Workarounds for HP aCC from Thomas Matelich. (Jeremy Siek)
+//   02 April 2001: Removed limits header altogether. (Jeremy Siek)
+//   01 April 2001: Modified to use new <boost/limits.hpp> header. (JMaddock)
+//
+
+// See http://www.boost.org/libs/concept_check for documentation.
+
+#ifndef LEMON_CONCEPT_CHECKS_H
+#define LEMON_CONCEPT_CHECKS_H
+
+namespace lemon {
+
+  /*
+    "inline" is used for ignore_unused_variable_warning()
+    and function_requires() to make sure there is no
+    overtarget with g++.
+  */
+
+  template <class T> inline void ignore_unused_variable_warning(const T&) { }
+
+  template <class Concept>
+  inline void function_requires()
+  {
+#if !defined(NDEBUG)
+    void (Concept::*x)() = & Concept::constraints;
+    ignore_unused_variable_warning(x);
+#endif
+  }
+
+  template <typename Concept, typename Type>
+  inline void checkConcept() {
+#if !defined(NDEBUG)
+    typedef typename Concept::template Constraints<Type> ConceptCheck;
+    void (ConceptCheck::*x)() = & ConceptCheck::constraints;
+    ignore_unused_variable_warning(x);
+#endif
+  }
+
+#define BOOST_CLASS_REQUIRE(type_var, ns, concept) \
+  typedef void (ns::concept <type_var>::* func##type_var##concept)(); \
+  template <func##type_var##concept Tp1_> \
+  struct concept_checking_##type_var##concept { }; \
+  typedef concept_checking_##type_var##concept< \
+    BOOST_FPTR ns::concept<type_var>::constraints> \
+    concept_checking_typedef_##type_var##concept
+
+#define BOOST_CLASS_REQUIRE2(type_var1, type_var2, ns, concept) \
+  typedef void (ns::concept <type_var1,type_var2>::* \
+     func##type_var1##type_var2##concept)(); \
+  template <func##type_var1##type_var2##concept Tp1_> \
+  struct concept_checking_##type_var1##type_var2##concept { }; \
+  typedef concept_checking_##type_var1##type_var2##concept< \
+    BOOST_FPTR ns::concept<type_var1,type_var2>::constraints> \
+    concept_checking_typedef_##type_var1##type_var2##concept
+
+#define BOOST_CLASS_REQUIRE3(tv1, tv2, tv3, ns, concept) \
+  typedef void (ns::concept <tv1,tv2,tv3>::* \
+     func##tv1##tv2##tv3##concept)(); \
+  template <func##tv1##tv2##tv3##concept Tp1_> \
+  struct concept_checking_##tv1##tv2##tv3##concept { }; \
+  typedef concept_checking_##tv1##tv2##tv3##concept< \
+    BOOST_FPTR ns::concept<tv1,tv2,tv3>::constraints> \
+    concept_checking_typedef_##tv1##tv2##tv3##concept
+
+#define BOOST_CLASS_REQUIRE4(tv1, tv2, tv3, tv4, ns, concept) \
+  typedef void (ns::concept <tv1,tv2,tv3,tv4>::* \
+     func##tv1##tv2##tv3##tv4##concept)(); \
+  template <func##tv1##tv2##tv3##tv4##concept Tp1_> \
+  struct concept_checking_##tv1##tv2##tv3##tv4##concept { }; \
+  typedef concept_checking_##tv1##tv2##tv3##tv4##concept< \
+    BOOST_FPTR ns::concept<tv1,tv2,tv3,tv4>::constraints> \
+    concept_checking_typedef_##tv1##tv2##tv3##tv4##concept
+
+
+} // namespace lemon
+
+#endif // LEMON_CONCEPT_CHECKS_H
diff -r 1f781d1f9b79 -r ad7f593399b0 lemon/concepts/maps.h
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/lemon/concepts/maps.h	Fri Jan 04 21:45:55 2008 +0100
@@ -0,0 +1,207 @@
+/* -*- C++ -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library
+ *
+ * Copyright (C) 2003-2007
+ * 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_CONCEPT_MAPS_H
+#define LEMON_CONCEPT_MAPS_H
+
+#include <lemon/bits/utility.h>
+#include <lemon/concept_check.h>
+
+///\ingroup concept
+///\file
+///\brief Map concepts checking classes for testing and documenting.
+
+namespace lemon {
+
+  namespace concepts {
+  
+    /// \addtogroup concept
+    /// @{
+
+    /// Readable map concept
+
+    /// Readable map concept.
+    ///
+    template<typename K, typename T>
+    class ReadMap
+    {
+    public:
+      /// Map's key type.
+      typedef K Key;    
+      /// Map's value type. (The type of objects associated with the keys).
+      typedef T Value;
+
+      /// Returns the value associated with a key.
+
+      /// \bug Value shouldn't need to be default constructible.
+      ///
+      Value operator[](const Key &) const {return Value();}
+
+      template<typename _ReadMap>
+      struct Constraints {
+
+	void constraints() {
+	  Value val = m[key];
+	  val = m[key];
+	  typename _ReadMap::Value own_val = m[own_key]; 
+	  own_val = m[own_key]; 
+
+	  ignore_unused_variable_warning(val);
+	  ignore_unused_variable_warning(own_val);
+	  ignore_unused_variable_warning(key);
+	}
+	Key& key;
+	typename _ReadMap::Key& own_key;
+	_ReadMap& m;
+      };
+      
+    };
+
+
+    /// Writable map concept
+    
+    /// Writable map concept.
+    ///
+    template<typename K, typename T>
+    class WriteMap
+    {
+    public:
+      /// Map's key type.
+      typedef K Key;    
+      /// Map's value type. (The type of objects associated with the keys).
+      typedef T Value;
+
+      /// Sets the value associated with a key.
+      void set(const Key &,const Value &) {}
+
+      ///Default constructor
+      WriteMap() {}
+
+      template <typename _WriteMap>
+      struct Constraints {
+	void constraints() {
+	  // No constraints for constructor.
+	  m.set(key, val);
+	  m.set(own_key, own_val);
+	  ignore_unused_variable_warning(key);
+	  ignore_unused_variable_warning(val);
+	  ignore_unused_variable_warning(own_key);
+	  ignore_unused_variable_warning(own_val);
+	}
+
+	Value& val;
+	typename _WriteMap::Value own_val;
+	Key& key;
+	typename _WriteMap::Key& own_key;
+	_WriteMap& m;
+
+      };
+    };
+
+    /// Read/Writable map concept
+    
+    /// Read/writable map concept.
+    ///
+    template<typename K, typename T>
+    class ReadWriteMap : public ReadMap<K,T>,
+			    public WriteMap<K,T>
+    {
+    public:
+      /// Map's key type.
+      typedef K Key;    
+      /// Map's value type. (The type of objects associated with the keys).
+      typedef T Value;
+
+      /// Returns the value associated with a key.
+      Value operator[](const Key &) const {return Value();}
+      /// Sets the value associated with a key.
+      void set(const Key & ,const Value &) {}
+
+      template<typename _ReadWriteMap>
+      struct Constraints {
+	void constraints() {
+	  checkConcept<ReadMap<K, T>, _ReadWriteMap >();
+	  checkConcept<WriteMap<K, T>, _ReadWriteMap >();
+	}
+      };
+    };
+  
+  
+    /// Dereferable map concept
+    
+    /// Dereferable map concept.
+    ///
+    template<typename K, typename T, typename R, typename CR>
+    class ReferenceMap : public ReadWriteMap<K,T>
+    {
+    public:
+      /// Tag for reference maps.
+      typedef True ReferenceMapTag;
+      /// Map's key type.
+      typedef K Key;    
+      /// Map's value type. (The type of objects associated with the keys).
+      typedef T Value;
+      /// Map's reference type.
+      typedef R Reference;
+      /// Map's const reference type.
+      typedef CR ConstReference;
+
+    protected:
+      Value tmp;
+    public:
+
+      ///Returns a reference to the value associated to a key.
+      Reference operator[](const Key &) { return tmp; }
+      ///Returns a const reference to the value associated to a key.
+      ConstReference operator[](const Key &) const { return tmp; }
+      /// Sets the value associated with a key.
+      void set(const Key &k,const Value &t) { operator[](k)=t; }
+
+      /// \todo Rethink this concept. 
+      template<typename _ReferenceMap>
+      struct ReferenceMapConcept {
+
+	void constraints() {
+	  checkConcept<ReadWriteMap, _ReferenceMap >();
+	  m[key] = val;
+	  val  = m[key];
+	  m[key] = ref;
+	  ref = m[key];
+	  m[own_key] = own_val;
+	  own_val  = m[own_key];
+	  m[own_key] = own_ref;
+	  own_ref = m[own_key];	  	  
+	}
+
+	typename _ReferenceMap::Key& own_key;
+	typename _ReferenceMap::Value& own_val;
+	typename _ReferenceMap::Reference& own_ref;
+	Key& key;
+	Value& val;
+	Reference& ref;
+	_ReferenceMap& m;
+      };
+    };
+
+    // @}
+
+  } //namespace concepts
+
+} //namespace lemon
+
+#endif // LEMON_CONCEPT_MAPS_H
diff -r 1f781d1f9b79 -r ad7f593399b0 lemon/maps.h
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/lemon/maps.h	Fri Jan 04 21:45:55 2008 +0100
@@ -0,0 +1,1568 @@
+/* -*- C++ -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library
+ *
+ * Copyright (C) 2003-2007
+ * 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 <lemon/bits/utility.h>
+// #include <lemon/bits/traits.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 <tt>typedef</tt>s required by the map concept.
+  template<typename K, typename T>
+  class MapBase {
+  public:
+    ///\e
+    typedef K Key;
+    ///\e
+    typedef T 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>).
+  template<typename K, typename T>
+  class NullMap : public MapBase<K, T> {
+  public:
+    typedef MapBase<K, T> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+    
+    /// Gives back a default constructed element.
+    T operator[](const K&) const { return T(); }
+    /// Absorbs the value.
+    void set(const K&, const T&) {}
+  };
+
+  ///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 is a readable map which assigns a specified value to each key.
+  /// In other aspects it is equivalent to the \c NullMap.
+  template<typename K, typename T>
+  class ConstMap : public MapBase<K, T> {
+  private:
+    T v;
+  public:
+
+    typedef MapBase<K, T> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    /// Default constructor
+
+    /// Default constructor.
+    /// The value of the map will be uninitialized. 
+    /// (More exactly it will be default constructed.)
+    ConstMap() {}
+    
+    /// Constructor with specified initial value
+
+    /// Constructor with specified initial value.
+    /// \param _v is the initial value of the map.
+    ConstMap(const T &_v) : v(_v) {}
+    
+    ///\e
+    T operator[](const K&) const { return v; }
+
+    ///\e
+    void setAll(const T &t) {
+      v = t;
+    }    
+
+    template<typename T1>
+    struct rebind {
+      typedef ConstMap<K, T1> other;
+    };
+
+    template<typename T1>
+    ConstMap(const ConstMap<K, T1> &, const T &_v) : v(_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 T, T v>
+  struct Const { };
+
+  /// Constant map with inlined constant value.
+
+  /// This is a readable map which assigns a specified value to each key.
+  /// In other aspects it is equivalent to the \c NullMap.
+  template<typename K, typename V, V v>
+  class ConstMap<K, Const<V, v> > : public MapBase<K, V> {
+  public:
+    typedef MapBase<K, V> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ConstMap() { }
+    ///\e
+    V operator[](const K&) const { return v; }
+    ///\e
+    void set(const K&, const V&) { }
+  };
+
+  ///Returns a \c ConstMap class
+
+  ///This function just returns a \c ConstMap class with inlined value.
+  ///\relates ConstMap
+  template<typename K, typename V, V v> 
+  inline ConstMap<K, Const<V, v> > constMap() {
+    return ConstMap<K, Const<V, v> >();
+  }
+
+  ///Map based on std::map
+
+  ///This is essentially a wrapper for \c std::map with addition that
+  ///you can specify a default value different from \c Value().
+  template <typename K, typename T, typename Compare = std::less<K> >
+  class StdMap {
+    template <typename K1, typename T1, typename C1>
+    friend class StdMap;
+  public:
+
+    typedef True ReferenceMapTag;
+    ///\e
+    typedef K Key;
+    ///\e
+    typedef T Value;
+    ///\e
+    typedef T& Reference;
+    ///\e
+    typedef const T& ConstReference;
+
+  private:
+    
+    typedef std::map<K, T, Compare> Map;
+    Value _value;
+    Map _map;
+
+  public:
+
+    /// Constructor with specified default value
+    StdMap(const T& value = T()) : _value(value) {}
+    /// \brief Constructs the map from an appropriate std::map, and explicitly
+    /// specifies a default value.
+    template <typename T1, typename Comp1>
+    StdMap(const std::map<Key, T1, Comp1> &map, const T& value = T()) 
+      : _map(map.begin(), map.end()), _value(value) {}
+    
+    /// \brief Constructs a map from an other StdMap.
+    template<typename T1, typename Comp1>
+    StdMap(const StdMap<Key, T1, Comp1> &c) 
+      : _map(c._map.begin(), c._map.end()), _value(c._value) {}
+
+  private:
+
+    StdMap& operator=(const StdMap&);
+
+  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;
+      else
+	return _value;
+    }
+
+    /// \e 
+    void set(const Key &k, const T &t) {
+      typename Map::iterator it = _map.lower_bound(k);
+      if (it != _map.end() && !_map.key_comp()(k, it->first))
+	it->second = t;
+      else
+	_map.insert(it, std::make_pair(k, t));
+    }
+
+    /// \e
+    void setAll(const T &t) {
+      _value = t;
+      _map.clear();
+    }    
+
+    template <typename T1, typename C1 = std::less<T1> >
+    struct rebind {
+      typedef StdMap<Key, T1, C1> other;
+    };
+  };
+
+  /// \brief Map for storing values for the range \c [0..size-1] range keys
+  ///
+  /// The current map has the \c [0..size-1] keyset and the values
+  /// are stored in a \c std::vector<T>  container. It can be used with
+  /// some data structures, for example \c UnionFind, \c BinHeap, when 
+  /// the used items are small integer numbers. 
+  ///
+  /// \todo Revise its name
+  template <typename T>
+  class IntegerMap {
+
+    template <typename T1>
+    friend class IntegerMap;
+
+  public:
+
+    typedef True ReferenceMapTag;
+    ///\e
+    typedef int Key;
+    ///\e
+    typedef T Value;
+    ///\e
+    typedef T& Reference;
+    ///\e
+    typedef const T& ConstReference;
+
+  private:
+    
+    typedef std::vector<T> Vector;
+    Vector _vector;
+
+  public:
+
+    /// Constructor with specified default value
+    IntegerMap(int size = 0, const T& value = T()) : _vector(size, value) {}
+
+    /// \brief Constructs the map from an appropriate std::vector.
+    template <typename T1>
+    IntegerMap(const std::vector<T1>& vector) 
+      : _vector(vector.begin(), vector.end()) {}
+    
+    /// \brief Constructs a map from an other IntegerMap.
+    template <typename T1>
+    IntegerMap(const IntegerMap<T1> &c) 
+      : _vector(c._vector.begin(), c._vector.end()) {}
+
+    /// \brief Resize the container
+    void resize(int size, const T& value = T()) {
+      _vector.resize(size, value);
+    }
+
+  private:
+
+    IntegerMap& operator=(const IntegerMap&);
+
+  public:
+
+    ///\e
+    Reference operator[](Key k) {
+      return _vector[k];
+    }
+
+    /// \e 
+    ConstReference operator[](Key k) const {
+      return _vector[k];
+    }
+
+    /// \e 
+    void set(const Key &k, const T& t) {
+      _vector[k] = t;
+    }
+
+  };
+
+  /// @}
+
+  /// \addtogroup map_adaptors
+  /// @{
+
+  /// \brief Identity map.
+  ///
+  /// This map gives back the given key as value without any
+  /// modification. 
+  template <typename T>
+  class IdentityMap : public MapBase<T, T> {
+  public:
+    typedef MapBase<T, T> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    /// \e
+    const T& operator[](const T& t) const {
+      return t;
+    }
+  };
+
+  ///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 Convert the \c Value of a map to another type using
+  ///the default conversion.
+  ///
+  ///This \c concepts::ReadMap "read only map"
+  ///converts the \c Value of a map to type \c T.
+  ///Its \c Key is inherited from \c M.
+  template <typename M, typename T> 
+  class ConvertMap : public MapBase<typename M::Key, T> {
+    const M& m;
+  public:
+    typedef MapBase<typename M::Key, T> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+
+    ///Constructor.
+    ///\param _m is the underlying map.
+    ConvertMap(const M &_m) : m(_m) {};
+
+    /// \brief The subscript operator.
+    ///
+    /// The subscript operator.
+    Value operator[](const Key& k) const {return m[k];}
+  };
+  
+  ///Returns a \c ConvertMap class
+
+  ///This function just returns a \c ConvertMap class.
+  ///\relates ConvertMap
+  template<typename T, typename M>
+  inline ConvertMap<M, T> convertMap(const M &m) {
+    return ConvertMap<M, T>(m);
+  }
+
+  ///Simple wrapping of a map
+
+  ///This \c concepts::ReadMap "read only map" returns the simple
+  ///wrapping of the given map. Sometimes the reference maps cannot be
+  ///combined with simple read maps. This map adaptor wraps the given
+  ///map to simple read map.
+  ///
+  ///\sa SimpleWriteMap
+  ///
+  /// \todo Revise the misleading name 
+  template<typename M> 
+  class SimpleMap : public MapBase<typename M::Key, typename M::Value> {
+    const M& m;
+
+  public:
+    typedef MapBase<typename M::Key, typename M::Value> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+    SimpleMap(const M &_m) : m(_m) {};
+    ///\e
+    Value operator[](Key k) const {return m[k];}
+  };
+
+  ///Simple writable wrapping of the map
+
+  ///This \c concepts::WriteMap "write map" returns the simple
+  ///wrapping of the given map. Sometimes the reference maps cannot be
+  ///combined with simple read-write maps. This map adaptor wraps the
+  ///given map to simple read-write map.
+  ///
+  ///\sa SimpleMap
+  ///
+  /// \todo Revise the misleading name
+  template<typename M> 
+  class SimpleWriteMap : public MapBase<typename M::Key, typename M::Value> {
+    M& m;
+
+  public:
+    typedef MapBase<typename M::Key, typename M::Value> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+    SimpleWriteMap(M &_m) : m(_m) {};
+    ///\e
+    Value operator[](Key k) const {return m[k];}
+    ///\e
+    void set(Key k, const Value& c) { m.set(k, c); }
+  };
+
+  ///Sum of two maps
+
+  ///This \c concepts::ReadMap "read only map" returns the sum of the two
+  ///given maps.
+  ///Its \c Key and \c Value are inherited from \c M1.
+  ///The \c Key and \c Value of M2 must be convertible to those of \c M1.
+  template<typename M1, typename M2> 
+  class AddMap : public MapBase<typename M1::Key, typename M1::Value> {
+    const M1& m1;
+    const M2& m2;
+
+  public:
+    typedef MapBase<typename M1::Key, typename M1::Value> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+    AddMap(const M1 &_m1,const M2 &_m2) : m1(_m1), m2(_m2) {};
+    ///\e
+    Value operator[](Key k) const {return m1[k]+m2[k];}
+  };
+  
+  ///Returns an \c AddMap class
+
+  ///This function just returns an \c AddMap class.
+  ///\todo How to call these type of functions?
+  ///
+  ///\relates AddMap
+  template<typename M1, typename M2> 
+  inline AddMap<M1, M2> addMap(const M1 &m1,const M2 &m2) {
+    return AddMap<M1, M2>(m1,m2);
+  }
+
+  ///Shift a map with a constant.
+
+  ///This \c concepts::ReadMap "read only map" returns the sum of the
+  ///given map and a constant value.
+  ///Its \c Key and \c Value are inherited from \c M.
+  ///
+  ///Actually,
+  ///\code
+  ///  ShiftMap<X> sh(x,v);
+  ///\endcode
+  ///is equivalent to
+  ///\code
+  ///  ConstMap<X::Key, X::Value> c_tmp(v);
+  ///  AddMap<X, ConstMap<X::Key, X::Value> > sh(x,v);
+  ///\endcode
+  ///
+  ///\sa ShiftWriteMap
+  template<typename M, typename C = typename M::Value> 
+  class ShiftMap : public MapBase<typename M::Key, typename M::Value> {
+    const M& m;
+    C v;
+  public:
+    typedef MapBase<typename M::Key, typename M::Value> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+
+    ///Constructor.
+    ///\param _m is the undelying map.
+    ///\param _v is the shift value.
+    ShiftMap(const M &_m, const C &_v ) : m(_m), v(_v) {};
+    ///\e
+    Value operator[](Key k) const {return m[k] + v;}
+  };
+
+  ///Shift a map with a constant (ReadWrite version).
+
+  ///This \c concepts::ReadWriteMap "read-write map" returns the sum of the
+  ///given map and a constant value. It makes also possible to write the map.
+  ///Its \c Key and \c Value are inherited from \c M.
+  ///
+  ///\sa ShiftMap
+  template<typename M, typename C = typename M::Value> 
+  class ShiftWriteMap : public MapBase<typename M::Key, typename M::Value> {
+    M& m;
+    C v;
+  public:
+    typedef MapBase<typename M::Key, typename M::Value> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+
+    ///Constructor.
+    ///\param _m is the undelying map.
+    ///\param _v is the shift value.
+    ShiftWriteMap(M &_m, const C &_v ) : m(_m), v(_v) {};
+    /// \e
+    Value operator[](Key k) const {return m[k] + v;}
+    /// \e
+    void set(Key k, const Value& c) { m.set(k, c - v); }
+  };
+  
+  ///Returns a \c ShiftMap class
+
+  ///This function just returns a \c ShiftMap class.
+  ///\relates ShiftMap
+  template<typename M, typename C> 
+  inline ShiftMap<M, C> shiftMap(const M &m,const C &v) {
+    return ShiftMap<M, C>(m,v);
+  }
+
+  ///Returns a \c ShiftWriteMap class
+
+  ///This function just returns a \c ShiftWriteMap class.
+  ///\relates ShiftWriteMap
+  template<typename M, typename C> 
+  inline ShiftWriteMap<M, C> shiftMap(M &m,const C &v) {
+    return ShiftWriteMap<M, C>(m,v);
+  }
+
+  ///Difference of two maps
+
+  ///This \c concepts::ReadMap "read only map" returns the difference
+  ///of the values of the two given maps.
+  ///Its \c Key and \c Value are inherited from \c M1.
+  ///The \c Key and \c Value of \c M2 must be convertible to those of \c M1.
+  ///
+  /// \todo Revise the misleading name
+  template<typename M1, typename M2> 
+  class SubMap : public MapBase<typename M1::Key, typename M1::Value> {
+    const M1& m1;
+    const M2& m2;
+  public:
+    typedef MapBase<typename M1::Key, typename M1::Value> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+    SubMap(const M1 &_m1,const M2 &_m2) : m1(_m1), m2(_m2) {};
+    /// \e
+    Value operator[](Key k) const {return m1[k]-m2[k];}
+  };
+  
+  ///Returns a \c SubMap class
+
+  ///This function just returns a \c SubMap class.
+  ///
+  ///\relates SubMap
+  template<typename M1, typename M2> 
+  inline SubMap<M1, M2> subMap(const M1 &m1, const M2 &m2) {
+    return SubMap<M1, M2>(m1, m2);
+  }
+
+  ///Product of two maps
+
+  ///This \c concepts::ReadMap "read only map" returns the product of the
+  ///values of the two given maps.
+  ///Its \c Key and \c Value are inherited from \c M1.
+  ///The \c Key and \c Value of \c M2 must be convertible to those of \c M1.
+  template<typename M1, typename M2> 
+  class MulMap : public MapBase<typename M1::Key, typename M1::Value> {
+    const M1& m1;
+    const M2& m2;
+  public:
+    typedef MapBase<typename M1::Key, typename M1::Value> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+    MulMap(const M1 &_m1,const M2 &_m2) : m1(_m1), m2(_m2) {};
+    /// \e
+    Value operator[](Key k) const {return m1[k]*m2[k];}
+  };
+  
+  ///Returns a \c MulMap class
+
+  ///This function just returns a \c MulMap class.
+  ///\relates MulMap
+  template<typename M1, typename M2> 
+  inline MulMap<M1, M2> mulMap(const M1 &m1,const M2 &m2) {
+    return MulMap<M1, M2>(m1,m2);
+  }
+ 
+  ///Scales a map with a constant.
+
+  ///This \c concepts::ReadMap "read only map" returns the value of the
+  ///given map multiplied from the left side with a constant value.
+  ///Its \c Key and \c Value are inherited from \c M.
+  ///
+  ///Actually,
+  ///\code
+  ///  ScaleMap<X> sc(x,v);
+  ///\endcode
+  ///is equivalent to
+  ///\code
+  ///  ConstMap<X::Key, X::Value> c_tmp(v);
+  ///  MulMap<X, ConstMap<X::Key, X::Value> > sc(x,v);
+  ///\endcode
+  ///
+  ///\sa ScaleWriteMap
+  template<typename M, typename C = typename M::Value> 
+  class ScaleMap : public MapBase<typename M::Key, typename M::Value> {
+    const M& m;
+    C v;
+  public:
+    typedef MapBase<typename M::Key, typename M::Value> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+
+    ///Constructor.
+    ///\param _m is the undelying map.
+    ///\param _v is the scaling value.
+    ScaleMap(const M &_m, const C &_v ) : m(_m), v(_v) {};
+    /// \e
+    Value operator[](Key k) const {return v * m[k];}
+  };
+
+  ///Scales a map with a constant (ReadWrite version).
+
+  ///This \c concepts::ReadWriteMap "read-write map" returns the value of the
+  ///given map multiplied from the left side with a constant value. It can
+  ///also be used as write map if the \c / operator is defined between
+  ///\c Value and \c C and the given multiplier is not zero.
+  ///Its \c Key and \c Value are inherited from \c M.
+  ///
+  ///\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:
+    typedef MapBase<typename M::Key, typename M::Value> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+
+    ///Constructor.
+    ///\param _m is the undelying map.
+    ///\param _v is the scaling value.
+    ScaleWriteMap(M &_m, const C &_v ) : m(_m), v(_v) {};
+    /// \e
+    Value operator[](Key k) const {return v * m[k];}
+    /// \e
+    void set(Key k, const Value& c) { m.set(k, c / v);}
+  };
+  
+  ///Returns a \c ScaleMap class
+
+  ///This function just returns a \c ScaleMap class.
+  ///\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.
+  ///\relates ScaleWriteMap
+  template<typename M, typename C> 
+  inline ScaleWriteMap<M, C> scaleMap(M &m,const C &v) {
+    return ScaleWriteMap<M, C>(m,v);
+  }
+
+  ///Quotient of two maps
+
+  ///This \c concepts::ReadMap "read only map" returns the quotient of the
+  ///values of the two given maps.
+  ///Its \c Key and \c Value are inherited from \c M1.
+  ///The \c Key and \c Value of \c M2 must be convertible to those of \c M1.
+  template<typename M1, typename M2> 
+  class DivMap : public MapBase<typename M1::Key, typename M1::Value> {
+    const M1& m1;
+    const M2& m2;
+  public:
+    typedef MapBase<typename M1::Key, typename M1::Value> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+    DivMap(const M1 &_m1,const M2 &_m2) : m1(_m1), m2(_m2) {};
+    /// \e
+    Value operator[](Key k) const {return m1[k]/m2[k];}
+  };
+  
+  ///Returns a \c DivMap class
+
+  ///This function just returns a \c DivMap class.
+  ///\relates DivMap
+  template<typename M1, typename M2> 
+  inline DivMap<M1, M2> divMap(const M1 &m1,const M2 &m2) {
+    return DivMap<M1, M2>(m1,m2);
+  }
+  
+  ///Composition of two maps
+
+  ///This \c concepts::ReadMap "read only map" returns the composition of
+  ///two given maps.
+  ///That is to say, if \c m1 is of type \c M1 and \c m2 is of \c M2,
+  ///then for
+  ///\code
+  ///  ComposeMap<M1, M2> cm(m1,m2);
+  ///\endcode
+  /// <tt>cm[x]</tt> will be equal to <tt>m1[m2[x]]</tt>.
+  ///
+  ///Its \c Key is inherited from \c M2 and its \c Value is from \c M1.
+  ///\c M2::Value must be convertible to \c M1::Key.
+  ///
+  ///\sa CombineMap
+  ///
+  ///\todo Check the requirements.
+  template <typename M1, typename M2> 
+  class ComposeMap : public MapBase<typename M2::Key, typename M1::Value> {
+    const M1& m1;
+    const M2& m2;
+  public:
+    typedef MapBase<typename M2::Key, typename M1::Value> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+    ComposeMap(const M1 &_m1,const M2 &_m2) : m1(_m1), m2(_m2) {};
+    
+    /// \e
+
+
+    /// \todo Use the  MapTraits once it is ported.
+    ///
+
+    //typename MapTraits<M1>::ConstReturnValue
+    typename M1::Value
+    operator[](Key k) const {return m1[m2[k]];}
+  };
+
+  ///Returns a \c ComposeMap class
+
+  ///This function just returns a \c ComposeMap class.
+  ///\relates ComposeMap
+  template <typename M1, typename M2> 
+  inline ComposeMap<M1, M2> composeMap(const M1 &m1,const M2 &m2) {
+    return ComposeMap<M1, M2>(m1,m2);
+  }
+  
+  ///Combine of two maps using an STL (binary) functor.
+
+  ///Combine of two maps using an STL (binary) functor.
+  ///
+  ///This \c concepts::ReadMap "read only map" takes two maps and a
+  ///binary functor and returns the composition of the two
+  ///given maps unsing the functor. 
+  ///That is to say, if \c m1 and \c m2 is of type \c M1 and \c M2
+  ///and \c f is of \c F, then for
+  ///\code
+  ///  CombineMap<M1,M2,F,V> cm(m1,m2,f);
+  ///\endcode
+  /// <tt>cm[x]</tt> will be equal to <tt>f(m1[x],m2[x])</tt>
+  ///
+  ///Its \c Key is inherited from \c M1 and its \c Value is \c V.
+  ///\c M2::Value and \c M1::Value must be convertible to the corresponding
+  ///input parameter of \c F and the return type of \c F must be convertible
+  ///to \c V.
+  ///
+  ///\sa ComposeMap
+  ///
+  ///\todo Check the requirements.
+  template<typename M1, typename M2, typename F,
+	   typename V = typename F::result_type> 
+  class CombineMap : public MapBase<typename M1::Key, V> {
+    const M1& m1;
+    const M2& m2;
+    F f;
+  public:
+    typedef MapBase<typename M1::Key, V> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+    CombineMap(const M1 &_m1,const M2 &_m2,const F &_f = F())
+      : m1(_m1), m2(_m2), f(_f) {};
+    /// \e
+    Value operator[](Key k) const {return f(m1[k],m2[k]);}
+  };
+  
+  ///Returns a \c CombineMap class
+
+  ///This function just returns a \c CombineMap class.
+  ///
+  ///For example if \c m1 and \c m2 are both \c double valued maps, then 
+  ///\code
+  ///combineMap<double>(m1,m2,std::plus<double>())
+  ///\endcode
+  ///is equivalent to
+  ///\code
+  ///addMap(m1,m2)
+  ///\endcode
+  ///
+  ///This function is specialized for adaptable binary function
+  ///classes and C++ functions.
+  ///
+  ///\relates CombineMap
+  template<typename M1, typename M2, typename F, typename V> 
+  inline CombineMap<M1, M2, F, V> 
+  combineMap(const M1& m1,const M2& m2, const F& f) {
+    return CombineMap<M1, M2, F, V>(m1,m2,f);
+  }
+
+  template<typename M1, typename M2, typename F> 
+  inline CombineMap<M1, M2, F, typename F::result_type> 
+  combineMap(const M1& m1, const M2& m2, const F& f) {
+    return combineMap<M1, M2, F, typename F::result_type>(m1,m2,f);
+  }
+
+  template<typename M1, typename M2, typename K1, typename K2, typename V> 
+  inline CombineMap<M1, M2, V (*)(K1, K2), V> 
+  combineMap(const M1 &m1, const M2 &m2, V (*f)(K1, K2)) {
+    return combineMap<M1, M2, V (*)(K1, K2), V>(m1,m2,f);
+  }
+
+  ///Negative value of a map
+
+  ///This \c concepts::ReadMap "read only map" returns the negative
+  ///value of the value returned by the given map.
+  ///Its \c Key and \c Value are inherited from \c M.
+  ///The unary \c - operator must be defined for \c Value, of course.
+  ///
+  ///\sa NegWriteMap
+  template<typename M> 
+  class NegMap : public MapBase<typename M::Key, typename M::Value> {
+    const M& m;
+  public:
+    typedef MapBase<typename M::Key, typename M::Value> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+    NegMap(const M &_m) : m(_m) {};
+    /// \e
+    Value operator[](Key k) const {return -m[k];}
+  };
+  
+  ///Negative value of a map (ReadWrite version)
+
+  ///This \c concepts::ReadWriteMap "read-write map" returns the negative
+  ///value of the value returned by the given map.
+  ///Its \c Key and \c Value are inherited from \c M.
+  ///The unary \c - operator must be defined for \c Value, of course.
+  ///
+  /// \sa NegMap
+  template<typename M> 
+  class NegWriteMap : public MapBase<typename M::Key, typename M::Value> {
+    M& m;
+  public:
+    typedef MapBase<typename M::Key, typename M::Value> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+    NegWriteMap(M &_m) : m(_m) {};
+    /// \e
+    Value operator[](Key k) const {return -m[k];}
+    /// \e
+    void set(Key k, const Value& v) { m.set(k, -v); }
+  };
+
+  ///Returns a \c NegMap class
+
+  ///This function just returns a \c NegMap class.
+  ///\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.
+  ///\relates NegWriteMap
+  template <typename M> 
+  inline NegWriteMap<M> negMap(M &m) {
+    return NegWriteMap<M>(m);
+  }
+
+  ///Absolute value of a map
+
+  ///This \c concepts::ReadMap "read only map" returns the absolute value
+  ///of the value returned by 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.
+  template<typename M> 
+  class AbsMap : public MapBase<typename M::Key, typename M::Value> {
+    const M& m;
+  public:
+    typedef MapBase<typename M::Key, typename M::Value> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+    AbsMap(const M &_m) : m(_m) {};
+    /// \e
+    Value operator[](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.
+  ///\relates AbsMap
+  template<typename M> 
+  inline AbsMap<M> absMap(const M &m) {
+    return AbsMap<M>(m);
+  }
+
+  ///Converts an STL style functor to a map
+
+  ///This \c concepts::ReadMap "read only map" returns the value
+  ///of a given functor.
+  ///
+  ///Template parameters \c K and \c V will become its
+  ///\c Key and \c Value. They must be given explicitly
+  ///because a functor does not provide such typedefs.
+  ///
+  ///Parameter \c F is the type of the used functor.
+  ///
+  ///\sa MapFunctor
+  template<typename F, 
+	   typename K = typename F::argument_type, 
+	   typename V = typename F::result_type> 
+  class FunctorMap : public MapBase<K, V> {
+    F f;
+  public:
+    typedef MapBase<K, V> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+    FunctorMap(const F &_f = F()) : f(_f) {}
+    /// \e
+    Value operator[](Key k) const { return f(k);}
+  };
+  
+  ///Returns a \c FunctorMap class
+
+  ///This function just returns a \c FunctorMap class.
+  ///
+  ///It is specialized for adaptable function classes and
+  ///C++ functions.
+  ///\relates FunctorMap
+  template<typename K, typename V, typename F> inline 
+  FunctorMap<F, K, V> functorMap(const F &f) {
+    return FunctorMap<F, K, V>(f);
+  }
+
+  template <typename F> inline 
+  FunctorMap<F, typename F::argument_type, typename F::result_type> 
+  functorMap(const F &f) {
+    return FunctorMap<F, typename F::argument_type, 
+      typename F::result_type>(f);
+  }
+
+  template <typename K, typename V> inline 
+  FunctorMap<V (*)(K), K, V> functorMap(V (*f)(K)) {
+    return FunctorMap<V (*)(K), K, V>(f);
+  }
+
+
+  ///Converts a map to an STL style (unary) functor
+
+  ///This class Converts a map to an STL style (unary) functor.
+  ///that is it provides an <tt>operator()</tt> to read its values.
+  ///
+  ///For the sake of convenience it also works as
+  ///a ususal \c concepts::ReadMap "readable map",
+  ///i.e. <tt>operator[]</tt> and the \c Key and \c Value typedefs also exist.
+  ///
+  ///\sa FunctorMap
+  template <typename M> 
+  class MapFunctor : public MapBase<typename M::Key, typename M::Value> {
+    const M& m;
+  public:
+    typedef MapBase<typename M::Key, typename M::Value> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    typedef typename M::Key argument_type;
+    typedef typename M::Value result_type;
+
+    ///Constructor
+    MapFunctor(const M &_m) : m(_m) {};
+    ///\e
+    Value operator()(Key k) const {return m[k];}
+    ///\e
+    Value operator[](Key k) const {return m[k];}
+  };
+  
+  ///Returns a \c MapFunctor class
+
+  ///This function just returns a \c MapFunctor class.
+  ///\relates MapFunctor
+  template<typename M> 
+  inline MapFunctor<M> mapFunctor(const M &m) {
+    return MapFunctor<M>(m);
+  }
+
+  ///Applies all map setting operations to two maps
+
+  ///This map has two \c concepts::ReadMap "readable map"
+  ///parameters and each read request will be passed just to the
+  ///first map. This class is the just readable map type of the ForkWriteMap.
+  ///
+  ///The \c Key and \c Value are inherited from \c M1.
+  ///The \c Key and \c Value of M2 must be convertible from those of \c M1.
+  ///
+  ///\sa ForkWriteMap
+  ///
+  /// \todo Why is it needed?
+  template<typename  M1, typename M2> 
+  class ForkMap : public MapBase<typename M1::Key, typename M1::Value> {
+    const M1& m1;
+    const M2& m2;
+  public:
+    typedef MapBase<typename M1::Key, typename M1::Value> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+    ForkMap(const M1 &_m1, const M2 &_m2) : m1(_m1), m2(_m2) {};
+    /// \e
+    Value operator[](Key k) const {return m1[k];}
+  };
+
+
+  ///Applies all map setting operations to two maps
+
+  ///This map has two \c concepts::WriteMap "writable map"
+  ///parameters and each write request will be passed to both of them.
+  ///If \c M1 is also \c concepts::ReadMap "readable",
+  ///then the read operations will return the
+  ///corresponding values of \c M1.
+  ///
+  ///The \c Key and \c Value are inherited from \c M1.
+  ///The \c Key and \c Value of M2 must be convertible from those of \c M1.
+  ///
+  ///\sa ForkMap
+  template<typename  M1, typename M2> 
+  class ForkWriteMap : public MapBase<typename M1::Key, typename M1::Value> {
+    M1& m1;
+    M2& m2;
+  public:
+    typedef MapBase<typename M1::Key, typename M1::Value> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    ///Constructor
+    ForkWriteMap(M1 &_m1, M2 &_m2) : m1(_m1), m2(_m2) {};
+    ///\e
+    Value operator[](Key k) const {return m1[k];}
+    ///\e
+    void set(Key k, const Value &v) {m1.set(k,v); m2.set(k,v);}
+  };
+  
+  ///Returns a \c ForkMap class
+
+  ///This function just returns a \c ForkMap class.
+  ///\relates ForkMap
+  template <typename M1, typename M2> 
+  inline ForkMap<M1, M2> forkMap(const M1 &m1, const M2 &m2) {
+    return ForkMap<M1, M2>(m1,m2);
+  }
+
+  ///Returns a \c ForkWriteMap class
+
+  ///This function just returns a \c ForkWriteMap class.
+  ///\relates ForkWriteMap
+  template <typename M1, typename M2> 
+  inline ForkWriteMap<M1, M2> forkMap(M1 &m1, M2 &m2) {
+    return ForkWriteMap<M1, M2>(m1,m2);
+  }
+
+
+  
+  /* ************* BOOL MAPS ******************* */
+  
+  ///Logical 'not' of a map
+  
+  ///This bool \c concepts::ReadMap "read only map" returns the 
+  ///logical negation of the value returned by the given map.
+  ///Its \c Key is inherited from \c M, its Value is \c bool.
+  ///
+  ///\sa NotWriteMap
+  template <typename M> 
+  class NotMap : public MapBase<typename M::Key, bool> {
+    const M& m;
+  public:
+    typedef MapBase<typename M::Key, bool> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    /// Constructor
+    NotMap(const M &_m) : m(_m) {};
+    ///\e
+    Value operator[](Key k) const {return !m[k];}
+  };
+
+  ///Logical 'not' of a map (ReadWrie version)
+  
+  ///This bool \c concepts::ReadWriteMap "read-write map" returns the 
+  ///logical negation of the value returned by the given map. When it is set,
+  ///the opposite value is set to the original map.
+  ///Its \c Key is inherited from \c M, its Value is \c bool.
+  ///
+  ///\sa NotMap
+  template <typename M> 
+  class NotWriteMap : public MapBase<typename M::Key, bool> {
+    M& m;
+  public:
+    typedef MapBase<typename M::Key, bool> Parent;
+    typedef typename Parent::Key Key;
+    typedef typename Parent::Value Value;
+
+    /// Constructor
+    NotWriteMap(M &_m) : m(_m) {};
+    ///\e
+    Value operator[](Key k) const {return !m[k];}
+    ///\e
+    void set(Key k, bool v) { m.set(k, !v); }
+  };
+  
+  ///Returns a \c NotMap class
+  
+  ///This function just returns a \c NotMap class.
+  ///\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.
+  ///\relates NotWriteMap
+  template <typename M> 
+  inline NotWriteMap<M> notMap(M &m) {
+    return NotWriteMap<M>(m);
+  }
+
+  namespace _maps_bits {
+
+    template <typename Value>
+    struct Identity {
+      typedef Value argument_type;
+      typedef Value result_type;
+      Value operator()(const Value& val) const {
+	return val;
+      }
+    };
+
+    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;
+    };
+
+  }
+  
+
+  /// \brief Writable bool map for logging each \c true assigned element
+  ///
+  /// Writable bool map for logging each \c true assigned element, i.e it
+  /// copies all the keys set to \c true to the given iterator.
+  ///
+  /// \note The container of the iterator should contain space 
+  /// for each element.
+  ///
+  /// The following example shows how you can write the edges found by the Prim
+  /// algorithm directly
+  /// to the standard output.
+  ///\code
+  /// typedef IdMap<Graph, Edge> EdgeIdMap;
+  /// EdgeIdMap edgeId(graph);
+  ///
+  /// typedef MapFunctor<EdgeIdMap> EdgeIdFunctor;
+  /// EdgeIdFunctor edgeIdFunctor(edgeId);
+  ///
+  /// StoreBoolMap<ostream_iterator<int>, EdgeIdFunctor> 
+  ///   writerMap(ostream_iterator<int>(cout, " "), edgeIdFunctor);
+  ///
+  /// prim(graph, cost, writerMap);
+  ///\endcode
+  ///
+  ///\sa BackInserterBoolMap 
+  ///
+  ///\todo Revise the name of this class and the related ones.
+  template <typename _Iterator, 
+            typename _Functor =
+            _maps_bits::Identity<typename _maps_bits::
+                                 IteratorTraits<_Iterator>::Value> >
+  class StoreBoolMap {
+  public:
+    typedef _Iterator Iterator;
+
+    typedef typename _Functor::argument_type Key;
+    typedef bool Value;
+
+    typedef _Functor Functor;
+
+    /// Constructor
+    StoreBoolMap(Iterator it, const Functor& functor = Functor()) 
+      : _begin(it), _end(it), _functor(functor) {}
+
+    /// 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 \c set function of the map
+    void set(const Key& key, Value value) const {
+      if (value) {
+	*_end++ = _functor(key);
+      }
+    }
+    
+  private:
+    Iterator _begin;
+    mutable Iterator _end;
+    Functor _functor;
+  };
+
+  /// \brief Writable bool map for logging each \c true assigned element in 
+  /// a back insertable container.
+  ///
+  /// Writable bool map for logging each \c true assigned element by pushing
+  /// them into a back insertable container.
+  /// It can be used to retrieve the items into a standard
+  /// container. The next example shows how you can store the
+  /// edges found by the Prim algorithm in a vector.
+  ///
+  ///\code
+  /// vector<Edge> span_tree_edges;
+  /// BackInserterBoolMap<vector<Edge> > inserter_map(span_tree_edges);
+  /// prim(graph, cost, inserter_map);
+  ///\endcode
+  ///
+  ///\sa StoreBoolMap
+  ///\sa FrontInserterBoolMap
+  ///\sa InserterBoolMap
+  template <typename Container,
+            typename Functor =
+            _maps_bits::Identity<typename Container::value_type> >
+  class BackInserterBoolMap {
+  public:
+    typedef typename Container::value_type Key;
+    typedef bool Value;
+
+    /// Constructor
+    BackInserterBoolMap(Container& _container, 
+                        const Functor& _functor = Functor()) 
+      : container(_container), functor(_functor) {}
+
+    /// The \c set function of the map
+    void set(const Key& key, Value value) {
+      if (value) {
+	container.push_back(functor(key));
+      }
+    }
+    
+  private:
+    Container& container;
+    Functor functor;
+  };
+
+  /// \brief Writable bool map for logging each \c true assigned element in 
+  /// a front insertable container.
+  ///
+  /// Writable bool map for logging each \c true assigned element by pushing
+  /// them into a front insertable container.
+  /// It can be used to retrieve the items into a standard
+  /// container. For example see \ref BackInserterBoolMap.
+  ///
+  ///\sa BackInserterBoolMap
+  ///\sa InserterBoolMap
+  template <typename Container,
+            typename Functor =
+            _maps_bits::Identity<typename Container::value_type> >
+  class FrontInserterBoolMap {
+  public:
+    typedef typename Container::value_type Key;
+    typedef bool Value;
+
+    /// Constructor
+    FrontInserterBoolMap(Container& _container,
+                         const Functor& _functor = Functor()) 
+      : container(_container), functor(_functor) {}
+
+    /// The \c set function of the map
+    void set(const Key& key, Value value) {
+      if (value) {
+	container.push_front(functor(key));
+      }
+    }
+    
+  private:
+    Container& container;    
+    Functor functor;
+  };
+
+  /// \brief Writable bool map for storing each \c true assigned element in 
+  /// an insertable container.
+  ///
+  /// Writable bool map for storing each \c true assigned element in an 
+  /// insertable container. It will insert all the keys set to \c true into
+  /// the container.
+  ///
+  /// For example, if you want to store the cut arcs of the strongly
+  /// connected components in a set you can use the next code:
+  ///
+  ///\code
+  /// set<Arc> cut_arcs;
+  /// InserterBoolMap<set<Arc> > inserter_map(cut_arcs);
+  /// stronglyConnectedCutArcs(digraph, cost, inserter_map);
+  ///\endcode
+  ///
+  ///\sa BackInserterBoolMap
+  ///\sa FrontInserterBoolMap
+  template <typename Container,
+            typename Functor =
+            _maps_bits::Identity<typename Container::value_type> >
+  class InserterBoolMap {
+  public:
+    typedef typename Container::value_type Key;
+    typedef bool Value;
+
+    /// Constructor with specified iterator
+    
+    /// Constructor with specified iterator.
+    /// \param _container The container for storing the elements.
+    /// \param _it The elements will be inserted before this iterator.
+    /// \param _functor The functor that is used when an element is stored.
+    InserterBoolMap(Container& _container, typename Container::iterator _it,
+                    const Functor& _functor = Functor()) 
+      : container(_container), it(_it), functor(_functor) {}
+
+    /// Constructor
+
+    /// Constructor without specified iterator.
+    /// The elements will be inserted before <tt>_container.end()</tt>.
+    /// \param _container The container for storing the elements.
+    /// \param _functor The functor that is used when an element is stored.
+    InserterBoolMap(Container& _container, const Functor& _functor = Functor())
+      : container(_container), it(_container.end()), functor(_functor) {}
+
+    /// The \c set function of the map
+    void set(const Key& key, Value value) {
+      if (value) {
+	it = container.insert(it, functor(key));
+        ++it;
+      }
+    }
+    
+  private:
+    Container& container;
+    typename Container::iterator it;
+    Functor functor;
+  };
+
+  /// \brief Writable bool map for filling each \c true assigned element with a 
+  /// given value.
+  ///
+  /// Writable bool map for filling each \c true assigned element with a 
+  /// given value. The value can set the container.
+  ///
+  /// The following code finds the connected components of a graph
+  /// and stores it in the \c comp map:
+  ///\code
+  /// typedef Graph::NodeMap<int> ComponentMap;
+  /// ComponentMap comp(graph);
+  /// typedef FillBoolMap<Graph::NodeMap<int> > ComponentFillerMap;
+  /// ComponentFillerMap filler(comp, 0);
+  ///
+  /// Dfs<Graph>::DefProcessedMap<ComponentFillerMap>::Create dfs(graph);
+  /// dfs.processedMap(filler);
+  /// dfs.init();
+  /// for (NodeIt it(graph); it != INVALID; ++it) {
+  ///   if (!dfs.reached(it)) {
+  ///     dfs.addSource(it);
+  ///     dfs.start();
+  ///     ++filler.fillValue();
+  ///   }
+  /// }
+  ///\endcode
+  template <typename Map>
+  class FillBoolMap {
+  public:
+    typedef typename Map::Key Key;
+    typedef bool Value;
+
+    /// Constructor
+    FillBoolMap(Map& _map, const typename Map::Value& _fill) 
+      : map(_map), fill(_fill) {}
+
+    /// Constructor
+    FillBoolMap(Map& _map) 
+      : map(_map), fill() {}
+
+    /// Gives back the current fill value
+    const typename Map::Value& fillValue() const {
+      return fill;
+    } 
+
+    /// Gives back the current fill value
+    typename Map::Value& fillValue() {
+      return fill;
+    } 
+
+    /// Sets the current fill value
+    void fillValue(const typename Map::Value& _fill) {
+      fill = _fill;
+    } 
+
+    /// The \c set function of the map
+    void set(const Key& key, Value value) {
+      if (value) {
+	map.set(key, fill);
+      }
+    }
+    
+  private:
+    Map& map;
+    typename Map::Value fill;
+  };
+
+
+  /// \brief Writable bool map for storing the sequence number of 
+  /// \c true assignments.  
+  /// 
+  /// Writable bool map that stores for each \c true assigned elements  
+  /// the sequence number of this setting.
+  /// It makes it easy to calculate the leaving
+  /// order of the nodes in the \c Dfs algorithm.
+  ///
+  ///\code
+  /// typedef Digraph::NodeMap<int> OrderMap;
+  /// OrderMap order(digraph);
+  /// typedef SettingOrderBoolMap<OrderMap> OrderSetterMap;
+  /// OrderSetterMap setter(order);
+  /// Dfs<Digraph>::DefProcessedMap<OrderSetterMap>::Create dfs(digraph);
+  /// dfs.processedMap(setter);
+  /// dfs.init();
+  /// for (NodeIt it(digraph); it != INVALID; ++it) {
+  ///   if (!dfs.reached(it)) {
+  ///     dfs.addSource(it);
+  ///     dfs.start();
+  ///   }
+  /// }
+  ///\endcode
+  ///
+  /// The storing of the discovering order is more difficult because the
+  /// ReachedMap should be readable in the dfs algorithm but the setting
+  /// order map is not readable. Thus we must use the fork map:
+  ///
+  ///\code
+  /// typedef Digraph::NodeMap<int> OrderMap;
+  /// OrderMap order(digraph);
+  /// typedef SettingOrderBoolMap<OrderMap> OrderSetterMap;
+  /// OrderSetterMap setter(order);
+  /// typedef Digraph::NodeMap<bool> StoreMap;
+  /// StoreMap store(digraph);
+  ///
+  /// typedef ForkWriteMap<StoreMap, OrderSetterMap> ReachedMap;
+  /// ReachedMap reached(store, setter);
+  ///
+  /// Dfs<Digraph>::DefReachedMap<ReachedMap>::Create dfs(digraph);
+  /// dfs.reachedMap(reached);
+  /// dfs.init();
+  /// for (NodeIt it(digraph); it != INVALID; ++it) {
+  ///   if (!dfs.reached(it)) {
+  ///     dfs.addSource(it);
+  ///     dfs.start();
+  ///   }
+  /// }
+  ///\endcode
+  template <typename Map>
+  class SettingOrderBoolMap {
+  public:
+    typedef typename Map::Key Key;
+    typedef bool Value;
+
+    /// Constructor
+    SettingOrderBoolMap(Map& _map) 
+      : map(_map), counter(0) {}
+
+    /// Number of set operations.
+    int num() const {
+      return counter;
+    }
+
+    /// Setter function of the map
+    void set(const Key& key, Value value) {
+      if (value) {
+	map.set(key, counter++);
+      }
+    }
+    
+  private:
+    Map& map;
+    int counter;
+  };
+
+  /// @}
+}
+
+#endif // LEMON_MAPS_H
diff -r 1f781d1f9b79 -r ad7f593399b0 test/maps_test.cc
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/test/maps_test.cc	Fri Jan 04 21:45:55 2008 +0100
@@ -0,0 +1,108 @@
+/* -*- C++ -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library
+ *
+ * Copyright (C) 2003-2007
+ * 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 "test_tools.h"
+
+using namespace lemon;
+using namespace lemon::concepts;
+
+struct A {};
+inline bool operator<(A, A) { return true; }
+struct B {};
+
+class F {
+public:
+  typedef A argument_type;
+  typedef B result_type;
+
+  B operator()(const A &) const {return B();}
+};
+
+int func(A) {return 3;}
+
+int binc(int, B) {return 4;}
+
+typedef ReadMap<A,double> DoubleMap;
+typedef ReadWriteMap<A, double> WriteDoubleMap;
+
+typedef ReadMap<A,bool> BoolMap;
+typedef ReadWriteMap<A, bool> BoolWriteMap;
+
+int main()
+{ // checking graph components
+  
+  checkConcept<ReadMap<A,B>, ReadMap<A,B> >();
+  checkConcept<WriteMap<A,B>, WriteMap<A,B> >();
+  checkConcept<ReadWriteMap<A,B>, ReadWriteMap<A,B> >();
+  checkConcept<ReferenceMap<A,B,B&,const B&>, ReferenceMap<A,B,B&,const B&> >();
+
+  checkConcept<ReadMap<A,double>, AddMap<DoubleMap,DoubleMap> >();
+  checkConcept<ReadMap<A,double>, SubMap<DoubleMap,DoubleMap> >();
+  checkConcept<ReadMap<A,double>, MulMap<DoubleMap,DoubleMap> >();
+  checkConcept<ReadMap<A,double>, DivMap<DoubleMap,DoubleMap> >();
+  checkConcept<ReadMap<A,double>, NegMap<DoubleMap> >();
+  checkConcept<ReadWriteMap<A,double>, NegWriteMap<WriteDoubleMap> >();
+  checkConcept<ReadMap<A,double>, AbsMap<DoubleMap> >();
+  checkConcept<ReadMap<A,double>, ShiftMap<DoubleMap> >();
+  checkConcept<ReadWriteMap<A,double>, ShiftWriteMap<WriteDoubleMap> >();
+  checkConcept<ReadMap<A,double>, ScaleMap<DoubleMap> >();
+  checkConcept<ReadWriteMap<A,double>, ScaleWriteMap<WriteDoubleMap> >();
+  checkConcept<ReadMap<A,double>, ForkMap<DoubleMap, DoubleMap> >();
+  checkConcept<ReadWriteMap<A,double>, 
+    ForkWriteMap<WriteDoubleMap, WriteDoubleMap> >();
+  
+  checkConcept<ReadMap<B,double>, ComposeMap<DoubleMap,ReadMap<B,A> > >();
+
+  checkConcept<ReadMap<A,B>, FunctorMap<F, A, B> >();
+
+  checkConcept<ReadMap<A, bool>, NotMap<BoolMap> >();
+  checkConcept<ReadWriteMap<A, bool>, NotWriteMap<BoolWriteMap> >();
+
+  checkConcept<WriteMap<A, bool>, StoreBoolMap<A*> >();
+  checkConcept<WriteMap<A, bool>, BackInserterBoolMap<std::deque<A> > >();
+  checkConcept<WriteMap<A, bool>, FrontInserterBoolMap<std::deque<A> > >();
+  checkConcept<WriteMap<A, bool>, InserterBoolMap<std::set<A> > >();
+  checkConcept<WriteMap<A, bool>, FillBoolMap<WriteMap<A, B> > >();
+  checkConcept<WriteMap<A, bool>, SettingOrderBoolMap<WriteMap<A, int> > >();
+
+  int a;
+  
+  a=mapFunctor(constMap<A,int>(2))(A());
+  check(a==2,"Something is wrong with mapFunctor");
+
+  B b;
+  b=functorMap(F())[A()];
+
+  a=functorMap(&func)[A()];
+  check(a==3,"Something is wrong with functorMap");
+
+  a=combineMap(constMap<B, int, 1>(), identityMap<B>(), &binc)[B()];
+  check(a==4,"Something is wrong with combineMap");
+  
+
+  std::cout << __FILE__ ": All tests passed.\n";
+  
+  return 0;
+}