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// -*- coding: utf-8 -*-
// Copyright (C) 2009, 2011, 2013, 2014 Laboratoire de Recherche et
// Développement de l'Epita (LRDE).
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// Copyright (C) 2003, 2004, 2005 Laboratoire d'Informatique de
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// Paris 6 (LIP6), département Systèmes Répartis Coopératifs (SRC),
// Université Pierre et Marie Curie.
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//
// This file is part of Spot, a model checking library.
//
// Spot is free software; you can redistribute it and/or modify it
// under the terms of the GNU General Public License as published by
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// the Free Software Foundation; either version 3 of the License, or
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// (at your option) any later version.
//
// Spot is distributed in the hope that it will be useful, but WITHOUT
// ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
// or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public
// License for more details.
//
// You should have received a copy of the GNU General Public License
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// along with this program.  If not, see <http://www.gnu.org/licenses/>.
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#ifndef SPOT_TGBA_TGBA_HH
# define SPOT_TGBA_TGBA_HH

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#include "bdddict.hh"
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#include "fwd.hh"
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#include <cassert>
#include <memory>
#include <memory>
#include "misc/casts.hh"
#include "misc/hash.hh"
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namespace spot
{
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  /// \ingroup tgba_essentials
  /// \brief Abstract class for states.
  class SPOT_API state
  {
  public:
    /// \brief Compares two states (that come from the same automaton).
    ///
    /// This method returns an integer less than, equal to, or greater
    /// than zero if \a this is found, respectively, to be less than, equal
    /// to, or greater than \a other according to some implicit total order.
    ///
    /// This method should not be called to compare states from
    /// different automata.
    ///
    /// \sa spot::state_ptr_less_than
    virtual int compare(const state* other) const = 0;

    /// \brief Hash a state.
    ///
    /// This method returns an integer that can be used as a
    /// hash value for this state.
    ///
    /// Note that the hash value is guaranteed to be unique for all
    /// equal states (in compare()'s sense) for only has long has one
    /// of these states exists.  So it's OK to use a spot::state as a
    /// key in a \c hash_map because the mere use of the state as a
    /// key in the hash will ensure the state continues to exist.
    ///
    /// However if you create the state, get its hash key, delete the
    /// state, recreate the same state, and get its hash key, you may
    /// obtain two different hash keys if the same state were not
    /// already used elsewhere.  In practice this weird situation can
    /// occur only when the state is BDD-encoded, because BDD numbers
    /// (used to build the hash value) can be reused for other
    /// formulas.  That probably doesn't matter, since the hash value
    /// is meant to be used in a \c hash_map, but it had to be noted.
    virtual size_t hash() const = 0;

    /// Duplicate a state.
    virtual state* clone() const = 0;

    /// \brief Release a state.
    ///
    /// Methods from the tgba or tgba_succ_iterator always return a
    /// new state that you should deallocate with this function.
    /// Before Spot 0.7, you had to "delete" your state directly.
    /// Starting with Spot 0.7, you should update your code to use
    /// this function instead. destroy() usually call delete, except
    /// in subclasses that destroy() to allow better memory management
    /// (e.g., no memory allocation for explicit automata).
    virtual void destroy() const
    {
      delete this;
    }

  protected:
    /// \brief Destructor.
    ///
    /// Note that client code should call
    /// <code>s->destroy();</code> instead of <code>delete s;</code>.
    virtual ~state()
    {
    }
  };

  /// \ingroup tgba_essentials
  /// \brief Strict Weak Ordering for \c state*.
  ///
  /// This is meant to be used as a comparison functor for
  /// STL \c map whose key are of type \c state*.
  ///
  /// For instance here is how one could declare
  /// a map of \c state*.
  /// \code
  ///   // Remember how many times each state has been visited.
  ///   std::map<spot::state*, int, spot::state_ptr_less_than> seen;
  /// \endcode
  struct state_ptr_less_than
  {
    bool
    operator()(const state* left, const state* right) const
    {
      assert(left);
      return left->compare(right) < 0;
    }
  };

  /// \ingroup tgba_essentials
  /// \brief An Equivalence Relation for \c state*.
  ///
  /// This is meant to be used as a comparison functor for
  /// an \c unordered_map whose key are of type \c state*.
  ///
  /// For instance here is how one could declare
  /// a map of \c state*.
  /// \code
  ///   // Remember how many times each state has been visited.
  ///   std::unordered_map<spot::state*, int, spot::state_ptr_hash,
  ///                                    spot::state_ptr_equal> seen;
  /// \endcode
  struct state_ptr_equal
  {
    bool
    operator()(const state* left, const state* right) const
    {
      assert(left);
      return 0 == left->compare(right);
    }
  };

  /// \ingroup tgba_essentials
  /// \ingroup hash_funcs
  /// \brief Hash Function for \c state*.
  ///
  /// This is meant to be used as a hash functor for
  /// an \c unordered_map whose key are of type \c state*.
  ///
  /// For instance here is how one could declare
  /// a map of \c state*.
  /// \code
  ///   // Remember how many times each state has been visited.
  ///   std::unordered_map<spot::state*, int, spot::state_ptr_hash,
  ///                                    spot::state_ptr_equal> seen;
  /// \endcode
  struct state_ptr_hash
  {
    size_t
    operator()(const state* that) const
    {
      assert(that);
      return that->hash();
    }
  };

  typedef std::unordered_set<const state*,
			     state_ptr_hash, state_ptr_equal> state_set;


  /// \ingroup tgba_essentials
  /// \brief Render state pointers unique via a hash table.
  class SPOT_API state_unicity_table
  {
    state_set m;
  public:

    /// \brief Canonicalize state pointer.
    ///
    /// If this is the first time a state is seen, this return the
    /// state pointer as-is, otherwise it frees the state and returns
    /// a point to the previously seen copy.
    ///
    /// States are owned by the table and will be freed on
    /// destruction.
    const state* operator()(const state* s)
    {
      auto p = m.insert(s);
      if (!p.second)
	s->destroy();
      return *p.first;
    }

    /// \brief Canonicalize state pointer.
    ///
    /// Same as operator(), except that a nullptr
    /// is returned if the state is not new.
    const state* is_new(const state* s)
    {
      auto p = m.insert(s);
      if (!p.second)
	{
	  s->destroy();
	  return nullptr;
	}
      return *p.first;
    }

    ~state_unicity_table()
    {
      for (state_set::iterator i = m.begin(); i != m.end();)
	{
	  // Advance the iterator before destroying its key.  This
	  // avoid issues with old g++ implementations.
	  state_set::iterator old = i++;
	  (*old)->destroy();
	}
    }

    size_t
    size()
    {
      return m.size();
    }
  };



  // Functions related to shared_ptr.
  //////////////////////////////////////////////////

  typedef std::shared_ptr<const state> shared_state;

  inline void shared_state_deleter(state* s) { s->destroy(); }

  /// \ingroup tgba_essentials
  /// \brief Strict Weak Ordering for \c shared_state
  /// (shared_ptr<const state*>).
  ///
  /// This is meant to be used as a comparison functor for
  /// STL \c map whose key are of type \c shared_state.
  ///
  /// For instance here is how one could declare
  /// a map of \c shared_state.
  /// \code
  ///   // Remember how many times each state has been visited.
  ///   std::map<shared_state, int, spot::state_shared_ptr_less_than> seen;
  /// \endcode
  struct state_shared_ptr_less_than
  {
    bool
    operator()(shared_state left,
               shared_state right) const
    {
      assert(left);
      return left->compare(right.get()) < 0;
    }
  };

  /// \ingroup tgba_essentials
  /// \brief An Equivalence Relation for \c shared_state
  /// (shared_ptr<const state*>).
  ///
  /// This is meant to be used as a comparison functor for
  /// un \c unordered_map whose key are of type \c shared_state.
  ///
  /// For instance here is how one could declare
  /// a map of \c shared_state
  /// \code
  ///   // Remember how many times each state has been visited.
  ///   std::unordered_map<shared_state, int,
  ///                      state_shared_ptr_hash,
  ///                      state_shared_ptr_equal> seen;
  /// \endcode
  struct state_shared_ptr_equal
  {
    bool
    operator()(shared_state left,
               shared_state right) const
    {
      assert(left);
      return 0 == left->compare(right.get());
    }
  };

  /// \ingroup tgba_essentials
  /// \ingroup hash_funcs
  /// \brief Hash Function for \c shared_state (shared_ptr<const state*>).
  ///
  /// This is meant to be used as a hash functor for
  /// an \c unordered_map whose key are of type
  /// \c shared_state.
  ///
  /// For instance here is how one could declare
  /// a map of \c shared_state.
  /// \code
  ///   // Remember how many times each state has been visited.
  ///   std::unordered_map<shared_state, int,
  ///                      state_shared_ptr_hash,
  ///                      state_shared_ptr_equal> seen;
  /// \endcode
  struct state_shared_ptr_hash
  {
    size_t
    operator()(shared_state that) const
    {
      assert(that);
      return that->hash();
    }
  };

  typedef std::unordered_set<shared_state,
			     state_shared_ptr_hash,
			     state_shared_ptr_equal> shared_state_set;

  /// \ingroup tgba_essentials
  /// \brief Iterate over the successors of a state.
  ///
  /// This class provides the basic functionalities required to
  /// iterate over the successors of a state, as well as querying
  /// transition labels.  Because transitions are never explicitely
  /// encoded, labels (conditions and acceptance conditions) can only
  /// be queried while iterating over the successors.
  class SPOT_API tgba_succ_iterator
  {
  public:
    virtual
    ~tgba_succ_iterator()
    {
    }

    /// \name Iteration
    //@{

    /// \brief Position the iterator on the first successor (if any).
    ///
    /// This method can be called several times to make multiple
    /// passes over successors.
    ///
    /// \warning One should always call \c done() (or better: check
    /// the return value of first()) to ensure there is a successor,
    /// even after \c first().  A common trap is to assume that there
    /// is at least one successor: this is wrong.
    ///
    /// \return whether there is actually a successor
    virtual bool first() = 0;

    /// \brief Jump to the next successor (if any).
    ///
    /// \warning Again, one should always call \c done() (or better:
    /// check the return value of next()) ensure there is a successor.
    ///
    /// \return whether there is actually a successor
    virtual bool next() = 0;

    /// \brief Check whether the iteration is finished.
    ///
    /// This function should be called after any call to \c first()
    /// or \c next() and before any enquiry about the current state.
    ///
    /// The usual way to do this is with a \c for loop.
    ///
    ///     for (s->first(); !s->done(); s->next())
    ///       ...
    virtual bool done() const = 0;

    //@}

    /// \name Inspection
    //@{

    /// \brief Get the state of the current successor.
    ///
    /// Note that the same state may occur at different points
    /// in the iteration.  These actually correspond to the same
    /// destination.  It just means there were several transitions,
    /// with different conditions, leading to the same state.
    ///
    /// The returned state should be destroyed (see state::destroy)
    /// by the caller after it is no longer used.
    virtual state* current_state() const = 0;
    /// \brief Get the condition on the transition leading to this successor.
    ///
    /// This is a boolean function of atomic propositions.
    virtual bdd current_condition() const = 0;
    /// \brief Get the acceptance conditions on the transition leading
    /// to this successor.
    virtual bdd current_acceptance_conditions() const = 0;

    //@}
  };

  namespace internal
  {
    struct SPOT_API succ_iterator
    {
    protected:
      tgba_succ_iterator* it_;
    public:

      succ_iterator(tgba_succ_iterator* it):
	it_(it)
      {
      }

      bool operator==(succ_iterator o) const
      {
	return it_ == o.it_;
      }

      bool operator!=(succ_iterator o) const
      {
	return it_ != o.it_;
      }

      const tgba_succ_iterator* operator*() const
      {
	return it_;
      }

      void operator++()
      {
	if (!it_->next())
	  it_ = nullptr;
      }
    };
  }
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  /// \defgroup tgba TGBA (Transition-based Generalized Büchi Automata)
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  ///
  /// Spot is centered around the spot::tgba type.  This type and its
  /// cousins are listed \ref tgba_essentials "here".  This is an
  /// abstract interface.  Its implementations are either \ref
  /// tgba_representation "concrete representations", or \ref
  /// tgba_on_the_fly_algorithms "on-the-fly algorithms".  Other
  /// algorithms that work on spot::tgba are \ref tgba_algorithms
  /// "listed separately".

  /// \addtogroup tgba_essentials Essential TGBA types
  /// \ingroup tgba

  /// \ingroup tgba_essentials
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  /// \brief A Transition-based Generalized Büchi Automaton.
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  ///
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  /// The acronym TGBA (Transition-based Generalized Büchi Automaton)
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  /// was coined by Dimitra Giannakopoulou and Flavio Lerda
  /// in "From States to Transitions: Improving Translation of LTL
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  /// Formulae to Büchi Automata".  (FORTE'02)
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  ///
  /// TGBAs are transition-based, meanings their labels are put
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  /// on arcs, not on nodes.  They use Generalized Büchi acceptance
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  /// conditions: there are several acceptance sets (of
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  /// transitions), and a path can be accepted only if it traverses
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  /// at least one transition of each set infinitely often.
  ///
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  /// Browsing such automaton can be achieved using two functions:
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  /// \c get_init_state, and \c succ_iter.  The former returns
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  /// the initial state while the latter lists the
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  /// successor states of any state.
  ///
  /// Note that although this is a transition-based automata,
  /// we never represent transitions!  Transition informations are
  /// obtained by querying the iterator over the successors of
  /// a state.
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  class SPOT_API tgba
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  {
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  protected:
    tgba();
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    // Any iterator returned via release_iter.
    mutable tgba_succ_iterator* iter_cache_;
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  public:
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#ifndef SWIG
    class succ_iterable
    {
    protected:
      const tgba* aut_;
      tgba_succ_iterator* it_;
    public:
      succ_iterable(const tgba* aut, tgba_succ_iterator* it)
	: aut_(aut), it_(it)
      {
      }

      succ_iterable(succ_iterable&& other)
	: aut_(other.aut_), it_(other.it_)
      {
	other.it_ = nullptr;
      }

      ~succ_iterable()
      {
	if (it_)
	  aut_->release_iter(it_);
      }

      internal::succ_iterator begin()
      {
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	return it_->first() ? it_ : nullptr;
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      }

      internal::succ_iterator end()
      {
	return nullptr;
      }
    };
#endif

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    virtual ~tgba();

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    /// \brief Get the initial state of the automaton.
    ///
    /// The state has been allocated with \c new.  It is the
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    /// responsability of the caller to \c destroy it when no
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    /// longer needed.
    virtual state* get_init_state() const = 0;
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    /// \brief Get an iterator over the successors of \a local_state.
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    ///
    /// The iterator has been allocated with \c new.  It is the
    /// responsability of the caller to \c delete it when no
    /// longer needed.
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    virtual tgba_succ_iterator*
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    succ_iter(const state* local_state) const = 0;
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#ifndef SWIG
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    /// \brief Build an iterable over the successors of \a s.
    ///
    /// This is meant to be used as
    /// <code>for (auto i: aut->out(s)) { /* i->current_state() */ }</code>.
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    succ_iterable
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    succ(const state* s) const
    {
      return {this, succ_iter(s)};
    }
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#endif

    /// \brief Release an iterator after usage.
    ///
    /// This iterator can then be reused by succ_iter() to avoid
    /// memory allocation.
    void release_iter(tgba_succ_iterator* i) const
    {
      if (iter_cache_)
	delete i;
      else
	iter_cache_ = i;
    }
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    /// \brief Get a formula that must hold whatever successor is taken.
    ///
    /// \return A formula which must be verified for all successors
    ///  of \a state.
    ///
    /// This can be as simple as \c bddtrue, or more completely
    /// the disjunction of the condition of all successors.  This
    /// is used as an hint by \c succ_iter() to reduce the number
    /// of successor to compute in a product.
    ///
    /// Sub classes should implement compute_support_conditions(),
    /// this function is just a wrapper that will cache the
    /// last return value for efficiency.
    bdd support_conditions(const state* state) const;

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    /// \brief Get the dictionary associated to the automaton.
    ///
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    /// Atomic propositions and acceptance conditions are represented
    /// as BDDs.  The dictionary allows to map BDD variables back to
    /// formulae, and vice versa.  This is useful when dealing with
    /// several automata (which may use the same BDD variable for
    /// different formula), or simply when printing.
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    virtual bdd_dict_ptr get_dict() const = 0;
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    /// \brief Format the state as a string for printing.
    ///
    /// This formating is the responsability of the automata
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    /// that owns the state.
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    virtual std::string format_state(const state* state) const = 0;
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    /// \brief Return a possible annotation for the transition
    /// pointed to by the iterator.
    ///
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    /// You may decide to use annotations when building a tgba class
    /// that represents the state space of a model, for instance to
    /// indicate how the tgba transitions relate to the original model
    /// (e.g. the annotation could be the name of a PetriNet
    /// transition, or the line number of some textual formalism).
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    ///
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    /// Implementing this method is optional; the default annotation
    /// is the empty string.
    ///
    /// This method is used for instance in dotty_reachable(),
    /// and replay_tgba_run().
    ///
    /// \param t a non-done tgba_succ_iterator for this automaton
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    virtual std::string
    transition_annotation(const tgba_succ_iterator* t) const;

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    /// \brief Project a state on an automaton.
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    ///
    /// This converts \a s, into that corresponding spot::state for \a
    /// t.  This is useful when you have the state of a product, and
    /// want restrict this state to a specific automata occuring in
    /// the product.
    ///
    /// It goes without saying that \a s and \a t should be compatible
    /// (i.e., \a s is a state of \a t).
    ///
    /// \return 0 if the projection fails (\a s is unrelated to \a t),
    ///    or a new \c state* (the projected state) that must be
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    ///    destroyed by the caller.
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    virtual state* project_state(const state* s,
				 const const_tgba_ptr& t) const;
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    /// \brief Return the set of all acceptance conditions used
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    /// by this automaton.
    ///
    /// The goal of the emptiness check is to ensure that
    /// a strongly connected component walks through each
    /// of these acceptiong conditions.  I.e., the union
    /// of the acceptiong conditions of all transition in
    /// the SCC should be equal to the result of this function.
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    virtual bdd all_acceptance_conditions() const = 0;
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    /// The number of acceptance conditions.
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    virtual unsigned int number_of_acceptance_conditions() const;
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    /// \brief Return the conjuction of all negated acceptance
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    /// variables.
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    ///
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    /// For instance if the automaton uses variables <tt>Acc[a]</tt>,
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    /// <tt>Acc[b]</tt> and <tt>Acc[c]</tt> to describe acceptance sets,
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    /// this function should return <tt>!Acc[a]\&!Acc[b]\&!Acc[c]</tt>.
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    ///
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    /// This is useful when making products: each operand's condition
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    /// set should be augmented with the neg_acceptance_conditions() of
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    /// the other operand.
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    virtual bdd neg_acceptance_conditions() const = 0;
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  protected:
    /// Do the actual computation of tgba::support_conditions().
    virtual bdd compute_support_conditions(const state* state) const = 0;
    mutable const state* last_support_conditions_input_;
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  private:
    mutable bdd last_support_conditions_output_;
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    mutable int num_acc_;
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  protected:

    // Boolean properties.  Beware: true means that the property
    // holds, but false means the property is unknown.
    struct bprop
    {
      bool single_acc_set:1;	// A single acceptance set.
      bool state_based_acc:1;	// State-based acceptance.
      bool inherently_weak:1;	// Weak automaton.
      bool deterministic:1;	// Deterministic automaton.
    };
    union
    {
      unsigned props;
      bprop is;
    };

  public:

    bool has_single_acc_set() const
    {
      return is.single_acc_set;
    }

    void prop_single_acc_set(bool val = true)
    {
      is.single_acc_set = val;
    }

    bool has_state_based_acc() const
    {
      return is.state_based_acc;
    }

    void prop_state_based_acc(bool val = true)
    {
      is.state_based_acc = val;
    }

    bool is_sba() const
    {
      return has_state_based_acc() && has_single_acc_set();
    }

    bool is_inherently_weak() const
    {
      return is.inherently_weak;
    }

    void prop_inherently_weak(bool val = true)
    {
      is.inherently_weak = val;
    }

    bool is_deterministic() const
    {
      return is.deterministic;
    }

    void prop_deterministic(bool val = true)
    {
      is.deterministic = val;
    }

    // This is no default value here on purpose.  This way any time we
    // add a new property we cannot to update every call to prop_copy().
    void prop_copy(const const_tgba_ptr& other,
		   bool state_based,
		   bool single_acc,
		   bool inherently_weak,
		   bool deterministic)
    {
      if (state_based)
	prop_state_based_acc(other->has_state_based_acc());
      if (single_acc)
	prop_single_acc_set(other->has_single_acc_set());
      if (inherently_weak)
	prop_inherently_weak(other->is_inherently_weak());
      if (deterministic)
	prop_deterministic(other->is_deterministic());
    }

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  };
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  /// \addtogroup tgba_representation TGBA representations
  /// \ingroup tgba

  /// \addtogroup tgba_algorithms TGBA algorithms
  /// \ingroup tgba
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  /// \addtogroup tgba_on_the_fly_algorithms TGBA on-the-fly algorithms
  /// \ingroup tgba_algorithms

  /// \addtogroup tgba_io Input/Output of TGBA
  /// \ingroup tgba_algorithms

  /// \addtogroup tgba_ltl Translating LTL formulae into TGBA
  /// \ingroup tgba_algorithms

  /// \addtogroup tgba_generic Algorithm patterns
  /// \ingroup tgba_algorithms

  /// \addtogroup tgba_reduction TGBA simplifications
  /// \ingroup tgba_algorithms

  /// \addtogroup tgba_misc Miscellaneous algorithms on TGBA
  /// \ingroup tgba_algorithms
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}
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#endif // SPOT_TGBA_TGBA_HH