Vaucanson: tropical_semiring.hh Source File

00001 // tropical_semiring.hh: 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, 2007 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_IMPLEMENTATION_SEMIRING_TROPICAL_SEMIRING_HH
00018 # define VCSN_ALGEBRA_IMPLEMENTATION_SEMIRING_TROPICAL_SEMIRING_HH
00019 
00020 # include <vaucanson/algebra/concept/tropical_semiring.hh>
00021 
00022 namespace vcsn {
00023 
00024   namespace algebra {
00025 
00026     // We provide a generic implementation of tropical semirings
00027     // formed with C++-builtins and standard operations (std::min,
00028     // std::max, +).
00029 
00030     /*---------------.
00031     | Identity value |
00032     `---------------*/
00033     template<class TropicalKind, typename T>
00034     T identity_value(SELECTOR(algebra::TropicalSemiring<TropicalKind>),
00035                      SELECTOR(T));
00036 
00037     template<typename T>
00038     T zero_value(SELECTOR(algebra::TropicalSemiring<algebra::TropicalMax>),
00039                  SELECTOR(T));
00040 
00041     template<typename T>
00042     T zero_value(SELECTOR(algebra::TropicalSemiring<algebra::TropicalMin>),
00043                  SELECTOR(T));
00044 
00045     /*------------.
00046     | op_contains |
00047     `------------*/
00048     template<class TropicalKind, typename T>
00049     bool op_contains(const algebra::TropicalSemiring<TropicalKind>& s, T c);
00050 
00051     /*--------------------.
00052     | Multiplication is + |
00053     `--------------------*/
00054     template<class TropicalKind, typename T, typename U>
00055     void op_in_mul(const algebra::TropicalSemiring<TropicalKind>& s1,
00056                    T& dst, U arg);
00057 
00058     template<class TropicalKind, typename T, typename U>
00059     T op_mul(const algebra::TropicalSemiring<TropicalKind>& s, T a, U b);
00060 
00061     /*---------.
00062     | Addition |
00063     `---------*/
00064     template<typename T, typename U>
00065     void op_in_add(const algebra::TropicalSemiring<algebra::TropicalMax>& s1,
00066                    T& dst, U arg);
00067 
00068     template<typename T, typename U>
00069     void op_in_add(const algebra::TropicalSemiring<algebra::TropicalMin>& s1,
00070                    T& dst, U arg);
00071 
00072     template<typename T, typename U>
00073     T op_add(const algebra::TropicalSemiring<algebra::TropicalMax>& s,
00074              T a, U b);
00075 
00076     template<typename T, typename U>
00077     T op_add(const algebra::TropicalSemiring<algebra::TropicalMin>& s,
00078              T a, U b);
00079 
00080     /*-----.
00081     | Star |
00082     `-----*/
00083     template <typename T>
00084     bool
00085     op_starable(const algebra::TropicalSemiring<algebra::TropicalMin>&, T b);
00086 
00087     template <class T>
00088     void
00089     op_in_star(const algebra::TropicalSemiring<algebra::TropicalMin>& s, T& b);
00090 
00091     template <typename T>
00092     bool
00093     op_starable(const algebra::TropicalSemiring<algebra::TropicalMax>&, T b);
00094 
00095     template <class T>
00096     void
00097     op_in_star(const algebra::TropicalSemiring<algebra::TropicalMax>&, T& b);
00098 
00099     template <class TropicalKind, class T>
00100     Element<algebra::TropicalSemiring<TropicalKind>, T>
00101     op_choose(const algebra::TropicalSemiring<TropicalKind>& set, SELECTOR(T));
00102 
00103     template <class TropicalKind, typename T>
00104     bool
00105     op_can_choose_non_starable(const algebra::TropicalSemiring<TropicalKind>&
00106                                set, SELECTOR(T));
00107 
00108     template <class TropicalKind, typename T>
00109     Element<algebra::TropicalSemiring<TropicalKind>, T>
00110     op_choose_starable(const algebra::TropicalSemiring<TropicalKind>& set,
00111                        SELECTOR(T));
00112 
00113     template <class TropicalKind, typename T>
00114     Element<algebra::TropicalSemiring<TropicalKind>, T>
00115     op_choose_non_starable(const algebra::TropicalSemiring<TropicalKind>& set,
00116                            SELECTOR(T));
00117 
00118     /*---------------.
00119     | Pretty printer |
00120     `---------------*/
00121     template<typename St, typename T>
00122     St& op_rout(const algebra::TropicalSemiring<algebra::TropicalMax>& s,
00123                 St& st, const T& v);
00124 
00125     template<typename St, typename T>
00126     St& op_rout(const algebra::TropicalSemiring<algebra::TropicalMin>& s,
00127                 St& st, const T& v);
00128 
00129   } // algebra
00130 
00131 } // vcsn
00132 
00133 
00134 # if !defined VCSN_USE_INTERFACE_ONLY || defined VCSN_USE_LIB
00135 #  include <vaucanson/algebra/implementation/semiring/tropical_semiring.hxx>
00136 # endif // VCSN_USE_INTERFACE_ONLY
00137 
00138 
00139 #endif // ! VCSN_ALGEBRA_IMPLEMENTATION_SEMIRING_TROPICAL_SEMIRING_HH