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# monoid_base.hxx

    00001 // monoid_base.hxx: this file is part of the Vaucanson project.
    00002 //
    00003 // Vaucanson, a generic library for finite state machines.
    00004 //
    00005 // Copyright (C) 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2010 The Vaucanson Group.
    00006 //
    00007 // This program is free software; you can redistribute it and/or
    00008 // modify it under the terms of the GNU General Public License
    00009 // as published by the Free Software Foundation; either version 2
    00010 // of the License, or (at your option) any later version.
    00011 //
    00012 // The complete GNU General Public Licence Notice can be found as the
    00013 // `COPYING' file in the root directory.
    00014 //
    00015 // The Vaucanson Group consists of people listed in the `AUTHORS' file.
    00016 //
    00017 #ifndef VCSN_ALGEBRA_CONCEPT_MONOID_BASE_HXX
    00018 # define VCSN_ALGEBRA_CONCEPT_MONOID_BASE_HXX
    00019
    00020 # include <vaucanson/algebra/concept/monoid_base.hh>
    00021 # include <vaucanson/algebra/concept/semigroup_base.hh>
    00022
    00023 namespace vcsn {
    00024
    00025   namespace algebra {
    00026
    00027     /*-----------------.
    00028     | MonoidBase<Self> |
    00029     `-----------------*/
    00030     template<class Self>
    00031     template<typename T>
    00032     Element<Self, T>
    00033     MonoidBase<Self>::identity(SELECTOR(T)) const
    00034     {
    00035       return Element<Self, T>(this->self(),
    00036                               identity_value(SELECT(Self), SELECT(T)));
    00037     }
    00038
    00039     template<class Self>
    00040     template<typename T>
    00041     Element<Self, T>  MonoidBase<Self>::zero(SELECTOR(T)) const
    00042     {
    00043       return Element<Self, T>(this->self(),
    00044                               zero_value(SELECT(Self), SELECT(T)));
    00045     }
    00046
    00047     template <class Self>
    00048     MonoidBase<Self>::MonoidBase()
    00049     {}
    00050
    00051     template <class Self>
    00052     MonoidBase<Self>::MonoidBase(const MonoidBase& other) :
    00053       SemigroupBase<Self>(other)
    00054     {}
    00055
    00056     template <class T>
    00057     template <class S>
    00058     Element<S, T>
    00059     identity_as<T>::of(const S& s)
    00060     {
    00061       return s.identity(SELECT(T));
    00062     }
    00063
    00064     template <class T>
    00065     template <class S>
    00066     Element<S, T>
    00067     zero_as<T>::of(const S& s)
    00068     {
    00069       return s.zero(SELECT(T));
    00070     }
    00071
    00072   } // algebra
    00073
    00074     /*---------------------------------.
    00075     | MetaElement<MonoidBase<Self>, T> |
    00076     `---------------------------------*/
    00077
    00078   template<class Self, typename T>
    00079   MetaElement<algebra::MonoidBase<Self>, T>::MetaElement()
    00080   {}
    00081
    00082   template<class Self, typename T>
    00083   MetaElement<algebra::MonoidBase<Self>, T>::MetaElement(const MetaElement& other) :
    00084     MetaElement<algebra::SemigroupBase<Self>, T>(other)
    00085   {}
    00086
    00087   namespace algebra {
    00088
    00089     template<typename T, typename Self>
    00090     T
    00091     op_default(SELECTOR(algebra::MonoidBase<Self>), SELECTOR(T))
    00092     {
    00093       // By default, an element of a monoid is the identity.
    00094       return identity_value(SELECT(Self), SELECT(T));
    00095     }
    00096
    00097   } // algebra
    00098
    00099 } // vcsn
    00100
    00101 #endif // ! VCSN_ALGEBRA_CONCEPT_MONOID_BASE_HXX