spot/src/tgbaalgos/scc.hh
Alexandre Duret-Lutz d9fc75e94e Improve SCC simplification by removing implied acceptance conditions.
Spot 0.7.1 used to need 190 acceptance conditions to translate the
188 literature formulae.  With this patch we are down to 185.
That's not an impressive, but there are only ~20 formulae that
require more than 1 acceptance conditions; hence little room for
improvement.

* src/misc/bddlt.hh (bdd_hash): New function.
* src/misc/accconv.hh, src/misc/accconv.cc: New files.
* src/misc/Makefile.am: Add them.
* src/tgbaalgos/scc.cc (scc_map::build_map): Adjust
to record all combination of acceptance conditions occurring in a SCC.
* src/tgbaalgos/scc.hh (scc_map::scc::useful_acc): Update description.
* src/tgbaalgos/sccfilter.cc (scc_filter): Simplify acceptance
conditions that are always implied by another acceptance
conditions.  Previously, we only removed acceptance conditions
that where always present in accepting SCCs.
* src/tgbatest/sccsimpl.test: New file.
* src/tgbatest/Makefile.am (TESTS): Add it.
2011-08-28 10:37:42 +02:00

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// Copyright (C) 2008, 2009, 2010, 2011 Laboratoire de Recherche et
// Developpement de l'Epita.
//
// 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
// the Free Software Foundation; either version 2 of the License, or
// (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
// along with Spot; see the file COPYING. If not, write to the Free
// Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA
// 02111-1307, USA.
#ifndef SPOT_TGBAALGOS_SCC_HH
# define SPOT_TGBAALGOS_SCC_HH
#include <map>
#include <stack>
#include <vector>
#include "tgba/tgba.hh"
#include <iosfwd>
#include "misc/hash.hh"
#include "misc/bddlt.hh"
namespace spot
{
struct scc_stats
{
/// Total number of SCCs.
unsigned scc_total;
/// Total number of accepting SCC.
unsigned acc_scc;
/// Total number of dead SCC.
///
/// An SCC is dead if no accepting SCC is reachable from it.
/// Note that an SCC can be neither dead nor accepting.
unsigned dead_scc;
/// Number of maximal accepting paths.
///
/// A path is maximal and accepting if it ends in an accepting
/// SCC that has only dead (i.e. non accepting) successors, or no
/// successors at all.
unsigned acc_paths;
/// Number of paths to a terminal dead SCC.
///
/// A terminal dead SCC is a dead SCC without successors.
unsigned dead_paths;
unsigned self_loops;
/// A map of the useless SCCs.
std::vector<bool> useless_scc_map;
/// The set of useful acceptance conditions (i.e. acceptance
/// conditions that are not always implied by other acceptance
/// conditions).
bdd useful_acc;
std::ostream& dump(std::ostream& out) const;
};
/// Build a map of Strongly Connected components in in a TGBA.
class scc_map
{
public:
typedef std::map<unsigned, bdd> succ_type;
typedef std::set<bdd, bdd_less_than> cond_set;
/// \brief Constructor.
///
/// This will note compute the map initially. You should call
/// build_map() to do so.
scc_map(const tgba* aut);
~scc_map();
/// Actually compute the graph of strongly connected components.
void build_map();
/// Get the automaton for which the map has been constructed.
const tgba* get_aut() const;
/// \brief Get the number of SCC in the automaton.
///
/// SCCs are labelled from 0 to scc_count()-1.
///
/// \pre This should only be called once build_map() has run.
unsigned scc_count() const;
/// \brief Get number of the SCC containing the initial state.
///
/// \pre This should only be called once build_map() has run.
unsigned initial() const;
/// \brief Successor SCCs of a SCC.
///
/// \pre This should only be called once build_map() has run.
const succ_type& succ(unsigned n) const;
/// \brief Return whether an SCC is trivial.
///
/// Trivial SCCs have one state and no self-loop.
///
/// \pre This should only be called once build_map() has run.
bool trivial(unsigned n) const;
/// \brief Return whether an SCC is accepting.
///
/// \pre This should only be called once build_map() has run.
bool accepting(unsigned n) const;
/// \brief Return the set of conditions occurring in an SCC.
///
/// \pre This should only be called once build_map() has run.
const cond_set& cond_set_of(unsigned n) const;
/// \brief Return the set of atomic properties occurring in an SCC.
///
/// \return a BDD that is a conjuction of all atomic properties
/// occurring on the transitions in the SCC n.
///
/// \pre This should only be called once build_map() has run.
bdd ap_set_of(unsigned n) const;
/// \brief Return the set of atomic properties reachable from this SCC.
///
/// \return a BDD that is a conjuction of all atomic properties
/// occurring on the transitions reachable from this SCC n.
///
/// \pre This should only be called once build_map() has run.
bdd aprec_set_of(unsigned n) const;
/// \brief Return the set of acceptance conditions occurring in an SCC.
///
/// \pre This should only be called once build_map() has run.
bdd acc_set_of(unsigned n) const;
/// \brief Return the set of useful acceptance conditions of SCC \a n.
///
/// Useless acceptances conditions are always implied by other acceptances
/// conditions. This returns all the other acceptance conditions.
bdd useful_acc_of(unsigned n) const;
/// \brief Return the set of states of an SCC.
///
/// The states in the returned list are still owned by the scc_map
/// instance. They should NOT be destroyed by the client code.
///
/// \pre This should only be called once build_map() has run.
const std::list<const state*>& states_of(unsigned n) const;
/// \brief Return one state of an SCC.
///
/// The state in the returned list is still owned by the scc_map
/// instance. It should NOT be destroyed by the client code.
///
/// \pre This should only be called once build_map() has run.
const state* one_state_of(unsigned n) const;
/// \brief Return the number of the SCC a state belongs too.
///
/// \pre This should only be called once build_map() has run.
unsigned scc_of_state(const state* s) const;
/// \brief Return the number of self loops in the automaton.
unsigned self_loops() const;
protected:
bdd update_supp_rec(unsigned state);
int relabel_component();
struct scc
{
public:
scc(int index) : index(index), acc(bddfalse),
supp(bddtrue), supp_rec(bddfalse),
trivial(true), useful_acc(bddfalse) {};
/// Index of the SCC.
int index;
/// The union of all acceptance conditions of transitions which
/// connect the states of the connected component.
bdd acc;
/// States of the component.
std::list<const state*> states;
/// Set of conditions used in the SCC.
cond_set conds;
/// Conjunction of atomic propositions used in the SCC.
bdd supp;
/// Conjunction of atomic propositions used in the SCC.
bdd supp_rec;
/// Successor SCC.
succ_type succ;
/// Trivial SCC have one state and no self-loops.
bool trivial;
/// \brief Set of acceptance combinations used in the SCC.
///
/// Note that the encoding used here differs from the
/// encoding used in automata.
/// If some transitions of the automaton are labeled by
/// Acc[a]&!Acc[b]&!Acc[c] | !Acc[a]&Acc[b]&!Acc[c]
/// an other transitions are labeled by
/// !Acc[a]&Acc[b]&!Acc[c] | !Acc[a]&!Acc[b]&Acc[c]
/// then useful_acc will contain
/// Acc[a]&Acc[b]&!Acc[c] | !Acc[a]&Acc[b]&Acc[c]
bdd useful_acc;
};
const tgba* aut_; // Automata to decompose.
typedef std::list<scc> stack_type;
stack_type root_; // Stack of SCC roots.
std::stack<bdd> arc_acc_; // A stack of acceptance conditions
// between each of these SCC.
std::stack<bdd> arc_cond_; // A stack of conditions
// between each of these SCC.
typedef Sgi::hash_map<const state*, int,
state_ptr_hash, state_ptr_equal> hash_type;
hash_type h_; // Map of visited states. Values >= 0
// designate maximal SCC. Values < 0
// number states that are part of
// incomplete SCCs being completed.
int num_; // Number of visited nodes, negated.
typedef std::pair<const spot::state*, tgba_succ_iterator*> pair_state_iter;
std::stack<pair_state_iter> todo_; // DFS stack. Holds (STATE,
// ITERATOR) pairs where
// ITERATOR is an iterator over
// the successors of STATE.
// ITERATOR should always be
// freed when TODO is popped,
// but STATE should not because
// it is used as a key in H.
typedef std::vector<scc> scc_map_type;
scc_map_type scc_map_; // Map of constructed maximal SCC.
// SCC number "n" in H_ corresponds to entry
// "n" in SCC_MAP_.
unsigned self_loops_; // Self loops count.
};
scc_stats build_scc_stats(const tgba* a);
scc_stats build_scc_stats(const scc_map& m);
std::ostream& dump_scc_dot(const tgba* a, std::ostream& out,
bool verbose = false);
std::ostream& dump_scc_dot(const scc_map& m, std::ostream& out,
bool verbose = false);
}
#endif // SPOT_TGBAALGOS_SCC_HH