fmp_transducer_functions.thxx

//                                                      -*- C++ -*-
// fmp_transducer_functions.thxx: this file is part of the Vaucanson project.
//
// Vaucanson, a generic library for finite state machines.
//
// Copyright (C) 2005, 2006 The Vaucanson Group.
//
// This program is free software; you can redistribute it and/or
// modify it under the terms of the GNU General Public License
// as published by the Free Software Foundation; either version 2
// of the License, or (at your option) any later version.
//
// The complete GNU General Public Licence Notice can be found as the
// `COPYING' file in the root directory.
//
// The Vaucanson Group consists of people listed in the `AUTHORS' file.
//

#include <vaucanson/algorithms/evaluation_fmp.hh>
#include <vaucanson/algorithms/minimization_hopcroft.hh>
#include <vaucanson/algorithms/aut_to_exp.hh>
#include <vaucanson/algorithms/trim.hh>
#include <vaucanson/algorithms/realtime.hh>

namespace vcsn
{
  namespace VCSN_CONTEXT_NAMESPACE
  {

    template <class FirstInputIterator, class SecondInputIterator>
    automata_set_t make_automata_set(const FirstInputIterator first_begin,
                                     const FirstInputIterator first_end,
                                     const SecondInputIterator second_begin,
                                     const SecondInputIterator second_end)
    {
      first_alphabet_t          first_alpha;
      for (FirstInputIterator e = first_begin; e != first_end; ++e)
        first_alpha.insert(*e);

      second_alphabet_t         second_alpha;
      for (SecondInputIterator e = second_begin; e != second_end; ++e)
        second_alpha.insert(*e);

      semiring_t                semiring;
      monoid_t                  freemonoidproduct (first_alpha, second_alpha);
      series_set_t              series (semiring, freemonoidproduct);
      return automata_set_t     (series);
    }


    template <class FirstInputIterator, class SecondInputIterator>
    automaton_t make_automaton(const FirstInputIterator first_begin,
                               const FirstInputIterator first_end,
                               const SecondInputIterator second_begin,
                               const SecondInputIterator second_end)
    {
      return automaton_t (make_automata_set(first_begin, first_end,
                                            second_begin, second_end));
    }

    template <class T1, class T2>
    automaton_t make_automaton(const T1& first_alphabet,
                               const T2& second_alphabet)
    {
      return make_automaton(first_alphabet.begin(), first_alphabet.end(),
                            second_alphabet.begin(), second_alphabet.end());
    }

    template <class FirstIterator, class SecondIterator>
    monoid_elt_t make_couple(const FirstIterator first_begin,
                             const FirstIterator first_end,
                             const SecondIterator second_begin,
                             const SecondIterator second_end,
                             const std::string& first_exp,
                             const std::string& second_exp)
    {
      first_alphabet_t          first_alpha;
      for (FirstIterator e = first_begin; e != first_end; ++e)
        first_alpha.insert(*e);

      second_alphabet_t         second_alpha;
      for (SecondIterator e = second_begin; e != second_end; ++e)
        second_alpha.insert(*e);

      monoid_t                  fmp (first_alpha, second_alpha);

      monoid_elt_value_t        fmp_elt_value (first_exp, second_exp);
      return Element<monoid_t, monoid_elt_value_t> (fmp, fmp_elt_value);
    }

    template <class T1, class T2>
    monoid_elt_t make_couple(const T1& first_alphabet,
                             const T2& second_alphabet,
                             const std::string& first_exp,
                             const std::string& second_exp)
    {
      return make_couple(first_alphabet.begin(), first_alphabet.end(),
                         second_alphabet.begin(), second_alphabet.end(),
                         first_exp, second_exp);
    }


    template <typename TransStruct,
              typename TransImpl,
              typename SeriesStruct,
              typename SeriesImpl,
              typename S,
              typename T>
    AUTOMATON_CONTEXT::rat_exp_t
    do_evaluation(const vcsn::AutomataBase<TransStruct>&,
                  const TransImpl&,
                  const SeriesStruct&,
                  const vcsn::rat::exp<S, T>& input,
                  const Element<TransStruct, TransImpl>& t,
                  const Element<SeriesStruct, SeriesImpl>&)
    {
      AUTOMATON_CONTEXT::automaton_t w = AUTOMATON_CONTEXT::
        make_automaton(t.structure().series()
                       .monoid().first_monoid().alphabet());
      AUTOMATON_CONTEXT::automaton_t result = AUTOMATON_CONTEXT::
        make_automaton(t.structure().series()
                       .monoid().second_monoid().alphabet());
      standard_of(w, input);
      evaluation_fmp(t, quotient(w), result);
      return aut_to_exp(generalized(quotient(realtime(trim(result)))),
                        DMChooser());
    }


    template <typename TransStruct,
              typename TransImpl,
              typename ArgStruct,
              typename ArgImpl>
    AUTOMATON_CONTEXT::rat_exp_t
    evaluation(const Element<TransStruct, TransImpl>& t,
               const Element<ArgStruct, ArgImpl>& input)
    {
      return do_evaluation(t.structure(), t.value(),
                           input.structure(), input.value(),
                           t, input);
    }


  } // End of namespace VCSN_CONTEXT_NAMESPACE.
} // End of namespace vcsn.

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