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# projection.hxx

    00001 // projection.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 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_ALGORITHMS_PROJECTION_HXX
    00018 # define VCSN_ALGORITHMS_PROJECTION_HXX
    00019
    00020 # include <vaucanson/algorithms/projection.hh>
    00021
    00022 # include <map>
    00023
    00024 namespace vcsn {
    00025
    00026   template <typename auto_t, typename trans_t>
    00027   void
    00028   set_states(const trans_t& fmp_trans, auto_t& res,
    00029              std::map<hstate_t, hstate_t>& stmap)
    00030   {
    00031     AUTOMATON_TYPES_(trans_t, trans_);
    00032     AUTOMATON_TYPES(auto_t);
    00033
    00034     typedef typename trans_series_set_elt_t::support_t  trans_support_t;
    00035
    00036     const series_set_t&         series = res.structure().series();
    00037     const monoid_t&             monoid = res.structure().series().monoid();
    00038
    00039     for_all_states(fmp_s, fmp_trans)
    00040     {
    00041       hstate_t s = res.add_state();
    00042       stmap[*fmp_s] = s;
    00043
    00044       if (fmp_trans.is_initial(*fmp_s))
    00045       {
    00046         trans_series_set_elt_t  in = fmp_trans.get_initial(*fmp_s);
    00047         trans_support_t         supp = in.supp();
    00048
    00049         semiring_elt_t          in_semi_elt = in.get(*(supp.begin()));
    00050         series_set_elt_t        series_elt(series);
    00051
    00052         series_elt.assoc(monoid_elt_t(monoid,
    00053                                       algebra::identity_as<
    00054                                       monoid_elt_value_t>::
    00055                                       of(monoid).value()),
    00056                          in_semi_elt);
    00057         res.set_initial(s, series_elt);
    00058       }
    00059
    00060       if (fmp_trans.is_final(*fmp_s))
    00061       {
    00062         trans_series_set_elt_t  out = fmp_trans.get_final(*fmp_s);
    00063         trans_support_t         supp = out.supp();
    00064
    00065         semiring_elt_t          out_semi_elt = out.get(*(supp.begin()));
    00066         series_set_elt_t        series_elt(series);
    00067
    00068         series_elt.assoc(monoid_elt_t(monoid,
    00069                                       algebra::identity_as<
    00070                                       monoid_elt_value_t>::
    00071                                       of(monoid).value()),
    00072                          out_semi_elt);
    00073         res.set_final(s, series_elt);
    00074       }
    00075     }
    00076   }
    00077
    00078
    00079   /*---------.
    00080   | Identity |
    00081   `---------*/
    00082
    00083   template <typename S1, typename S2, typename M1, typename M2,
    00084             typename auto_t, typename trans_t>
    00085   void
    00086   do_identity(const AutomataBase<S1>&,
    00087               const algebra::FreeMonoidBase<M1>&,
    00088               const AutomataBase<S2>&,
    00089               const algebra::FreeMonoidProduct<M1,M2>&,
    00090               const auto_t& aut, trans_t& res)
    00091   {
    00092     TIMER_SCOPED("identity");
    00093     AUTOMATON_TYPES_(auto_t, aut_);
    00094     AUTOMATON_TYPES(trans_t);
    00095
    00096     std::map<hstate_t, hstate_t>        stmap;
    00097     typedef typename aut_series_set_elt_t::support_t    aut_support_t;
    00098
    00099     const series_set_t&         series = res.structure().series();
    00100     const monoid_t&             monoid = res.structure().series().monoid();
    00101     const aut_monoid_t&         aut_monoid = aut.structure().series().monoid();
    00102
    00103     set_states(aut, res, stmap);
    00104
    00105     for_all_transitions(aut_e, aut)
    00106     {
    00107       const aut_series_set_elt_t        aut_series_elt =
    00108         aut.series_of(*aut_e);
    00109       aut_support_t                     aut_supp = aut_series_elt.supp();
    00110       const aut_monoid_elt_t    aut_monoid_elt
    00111         (aut_monoid, *(aut_supp.begin()));
    00112       const monoid_elt_value_t  word(aut_monoid_elt.value(),
    00113                                      aut_monoid_elt.value());
    00114
    00115       series_set_elt_t          series_elt(series);
    00116
    00117       series_elt.assoc(monoid_elt_t(monoid, word),
    00118                        aut_series_elt.get(aut_monoid_elt));
    00119
    00120       res.add_series_transition(stmap[aut.src_of(*aut_e)],
    00121                                 stmap[aut.dst_of(*aut_e)], series_elt);
    00122     }
    00123   }
    00124
    00125   template <typename S, typename S2, typename T, typename T2>
    00126   void
    00127   identity(const Element<S,T>& aut, Element<S2, T2>& res)
    00128   {
    00129     do_identity(aut.structure(), aut.structure().series().monoid(),
    00130                 res.structure(), res.structure().series().monoid(), aut, res);
    00131   }
    00132
    00133   template <typename S, typename S2, typename T, typename T2>
    00134   Element<S2, T2>
    00135   identity(const Element<S,T>& aut)
    00136   {
    00137     typedef Element<S, T> auto_t;
    00138
    00139     typedef algebra::FreeMonoidProduct<
    00140       typename auto_t::series_set_t::monoid_t,
    00141       typename auto_t::series_set_t::monoid_t> monoid_t;
    00142
    00143     typedef algebra::Series<typename auto_t::series_set_t::semiring_t,
    00144       monoid_t>
    00145       series_set_t;
    00146
    00147     monoid_t            monoid (aut.structure().series().monoid(),
    00148                                 aut.structure().series().monoid());
    00149
    00150     series_set_t                        series
    00151       (aut.structure().series().semiring(), monoid);
    00152     Automata<series_set_t>              aut_set(series);
    00153     Element< Automata<series_set_t>, T> res(aut_set);
    00154
    00155     do_identity(aut.structure(), aut.structure().series().monoid(),
    00156                 res.structure(), res.structure().series().monoid(), aut, res);
    00157     return res;
    00158   }
    00159
    00160 }
    00161
    00162 #endif // ! VCSN_ALGORITHMS_PROJECTION_HXX