1995602df5
* src/tgbaalgos/are_isomorphic.cc, src/tgbaalgos/are_isomorphic.hh, src/bin/autfilt.cc: are_isomorphic now uses canonicalize. It returns a bool, because the mapping cannot be deduced easily from the canonicalized automaton. * src/graph/graph.hh: Add equality operator to trans_storage_t for easy comparison of transition vectors. * src/tgba/tgbagraph.hh: Add equality operator to tgba_graph_trans_data and to tgba_digraph. * src/tgbaalgos/canonicalize.cc, src/tgbaalgos/canonicalize.hh: New files. * src/tgbaalgos/Makefile.am: Add them. * src/tgbatest/isomorph.test: Test them.
109 lines
3.2 KiB
C++
109 lines
3.2 KiB
C++
// -*- coding: utf-8 -*-
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// Copyright (C) 2014 Laboratoire de Recherche et
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// Developpement de l Epita (LRDE).
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//
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// This file is part of Spot, a model checking library.
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//
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// Spot is free software; you can redistribute it and/or modify it
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// 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.
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//
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// Spot is distributed in the hope that it will be useful, but WITHOUT
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// ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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// or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
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// License for more details.
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//
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// 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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#include "canonicalize.hh"
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#include "tgba/tgbagraph.hh"
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#include <set>
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#include <vector>
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namespace
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{
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typedef std::pair<spot::tgba_digraph::graph_t::trans_data_t, unsigned>
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trans_sig_t;
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struct signature_t
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{
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std::vector<trans_sig_t> ingoing;
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std::vector<trans_sig_t> outgoing;
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unsigned classnum;
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bool
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operator<(const signature_t& o) const
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{
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return ingoing != o.ingoing ? ingoing < o.ingoing :
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outgoing != o.outgoing ? outgoing < o.outgoing :
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classnum < o.classnum;
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}
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};
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typedef std::map<signature_t, std::vector<unsigned>> sig2states_t;
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static sig2states_t
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sig_to_states(spot::tgba_digraph_ptr aut, std::vector<unsigned>& state2class)
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{
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std::vector<signature_t> signature(aut->num_states(), signature_t());
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for (auto& t : aut->transitions())
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{
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signature[t.dst].ingoing.emplace_back(t.data(), state2class[t.src]);
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signature[t.src].outgoing.emplace_back(t.data(), state2class[t.dst]);
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}
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sig2states_t sig2states;
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for (unsigned s = 0; s < aut->num_states(); ++s)
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{
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std::sort(signature[s].ingoing.begin(), signature[s].ingoing.end());
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std::sort(signature[s].outgoing.begin(), signature[s].outgoing.end());
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signature[s].classnum = state2class[s];
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sig2states[signature[s]].push_back(s);
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}
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return sig2states;
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}
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}
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namespace spot
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{
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tgba_digraph_ptr
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canonicalize(tgba_digraph_ptr aut)
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{
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std::vector<unsigned> state2class(aut->num_states(), 0);
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state2class[aut->get_init_state_number()] = 1;
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size_t distinct_classes = 2;
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sig2states_t sig2states = sig_to_states(aut, state2class);
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while (sig2states.size() != distinct_classes &&
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sig2states.size() != aut->num_states())
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{
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distinct_classes = sig2states.size();
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unsigned classnum = 0;
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for (auto& s: sig2states)
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{
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for (auto& state: s.second)
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state2class[state] = classnum;
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++classnum;
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}
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sig2states = sig_to_states(aut, state2class);
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}
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unsigned classnum = 0;
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for (auto& s: sig2states)
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for (auto& state: s.second)
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state2class[state] = classnum++;
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auto& g = aut->get_graph();
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g.rename_states_(state2class);
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aut->set_init_state(state2class[aut->get_init_state_number()]);
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g.sort_transitions_();
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g.chain_transitions_();
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return aut;
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}
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}
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