fmp_transducer_maker.thxx

//                                                      -*- C++ -*-
// fmp_transducer_maker.thxx: this file is part of the Vaucanson project.
//
// Vaucanson, a generic library for finite state machines.
//
// Copyright (C) 2005, 2006, 2008, 2010 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.
//

/*
 * CPP guard should not be inserted here as
 * VCSN_CONTEXT_NAMESPACE could be changed.
 */

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

namespace vcsn
{
  namespace VCSN_GRAPH_IMPL
  {
    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;
        first_monoid_t  mA(first_alpha);
        second_monoid_t mB(second_alpha);
        monoid_t        freemonoidproduct(mA, mB);
        series_set_t    series(semiring, freemonoidproduct);

        return automata_set_t(series);
      }

      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,
                                       const monoid_rep_t& mrep,
                                       const first_monoid_rep_t& mrep1,
                                       const second_monoid_rep_t& mrep2,
                                       const series_rep_t& srep)
      {
        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;
        first_monoid_t  mA(first_alpha, mrep1);
        second_monoid_t mB(second_alpha, mrep2);
        monoid_t        freemonoidproduct(mA, mB, mrep);
        series_set_t    series(semiring, freemonoidproduct, srep);

        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 FirstInputIterator, class SecondInputIterator>
      automaton_t make_automaton(const FirstInputIterator first_begin,
                                 const FirstInputIterator first_end,
                                 const SecondInputIterator second_begin,
                                 const SecondInputIterator second_end,
                                 const monoid_rep_t& mrep,
                                 const first_monoid_rep_t& mrep1,
                                 const second_monoid_rep_t& mrep2,
                                 const series_rep_t& srep)
      {
        return automaton_t(make_automata_set(first_begin, first_end,
                                             second_begin, second_end,
                                             mrep, mrep1, mrep2,
                                             srep));
      }

      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 T1, class T2>
      automaton_t make_automaton(const T1& first_alphabet,
                                 const T2& second_alphabet,
                                 const monoid_rep_t& mrep,
                                 const first_monoid_rep_t& mrep1,
                                 const second_monoid_rep_t& mrep2,
                                 const series_rep_t& srep)
      {
        return make_automaton(first_alphabet.begin(), first_alphabet.end(),
                              second_alphabet.begin(), second_alphabet.end(),
                              mrep, mrep1, mrep2, srep);
      }

      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 first_monoid_elt_value_t& first_exp,
                               const second_monoid_elt_value_t& 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 first_monoid_elt_value_t& first_exp,
                               const second_monoid_elt_value_t& 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);
      }

      inline
      rat_exp_t
      aut_to_exp(const automaton_t& a)
      {
        return aut_to_exp(generalized(a));
      }

      template <class Chooser>
      rat_exp_t
      aut_to_exp(const automaton_t& a, const Chooser& c)
      {
        return aut_to_exp(generalized(a), c);
      }


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