Based on reports by Florian Renkin and Jens Kreber. * spot/twaalgos/bfssteps.cc, spot/twaalgos/couvreurnew.cc, spot/twaalgos/gtec/gtec.cc, spot/twaalgos/gv04.cc, spot/twaalgos/magic.cc, spot/twaalgos/sccinfo.cc spot/twaalgos/se05.cc, spot/twaalgos/tau03.cc: Ignore bddfalse edges. * spot/twaalgos/gtec/gtec.hh: Remove debugging function. * tests/core/neverclaimread.test: Adjust. * tests/python/ecfalse.py: New test file. * tests/Makefile.am: Add it. * NEWS: Mention the bug.
873 lines
30 KiB
C++
873 lines
30 KiB
C++
// -*- coding: utf-8 -*-
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// Copyright (C) 2014-2020 Laboratoire de Recherche et Développement
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// 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 "config.h"
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#include <spot/twaalgos/sccinfo.hh>
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#include <stack>
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#include <algorithm>
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#include <queue>
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#include <spot/twa/bddprint.hh>
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#include <spot/twaalgos/bfssteps.hh>
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#include <spot/twaalgos/mask.hh>
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#include <spot/twaalgos/genem.hh>
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#include <spot/misc/escape.hh>
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namespace spot
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{
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void scc_info::report_need_track_states()
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{
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throw std::runtime_error
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("scc_info was not run with option TRACK_STATES");
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}
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void scc_info::report_need_track_succs()
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{
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throw std::runtime_error
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("scc_info was not run with option TRACK_SUCCS");
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}
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void scc_info::report_incompatible_stop_on_acc()
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{
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throw std::runtime_error
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("scc_info was run with option STOP_ON_ACC");
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}
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// this one is not yet needed in the hh file
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static void report_need_stop_on_acc()
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{
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throw std::runtime_error
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("scc_info was not run with option STOP_ON_ACC");
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}
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namespace
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{
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struct scc
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{
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public:
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scc(int index, acc_cond::mark_t in_acc):
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in_acc(in_acc), index(index)
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{
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}
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acc_cond::mark_t in_acc; // Acceptance sets on the incoming transition
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acc_cond::mark_t acc = {}; // union of all acceptance marks in the SCC
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// intersection of all marks in the SCC
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acc_cond::mark_t common = acc_cond::mark_t::all();
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int index; // Index of the SCC
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bool trivial = true; // Whether the SCC has no cycle
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bool accepting = false; // Necessarily accepting
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};
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}
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scc_info::scc_info(const scc_and_mark_filter& filt, scc_info_options options)
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: scc_info(filt.get_aut(), filt.start_state(),
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filt.get_filter(),
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const_cast<scc_and_mark_filter*>(&filt), options)
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{
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}
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scc_info::scc_info(const_twa_graph_ptr aut,
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unsigned initial_state,
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edge_filter filter,
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void* filter_data,
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scc_info_options options)
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: aut_(aut), initial_state_(initial_state),
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filter_(filter), filter_data_(filter_data),
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options_(options)
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{
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unsigned n = aut->num_states();
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if (initial_state != -1U && n <= initial_state)
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throw std::runtime_error
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("scc_info: supplied initial state does not exist");
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sccof_.resize(n, -1U);
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if (!!(options & scc_info_options::TRACK_STATES_IF_FIN_USED)
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&& aut->acc().uses_fin_acceptance())
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options_ = options = options | scc_info_options::TRACK_STATES;
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std::vector<unsigned> live;
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live.reserve(n);
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std::deque<scc> root_; // Stack of SCC roots.
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std::vector<int> h_(n, 0);
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// Map of visited states. Values > 0 designate maximal SCC.
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// Values < 0 number states that are part of incomplete SCCs being
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// completed. 0 denotes non-visited states.
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int num_ = 0; // Number of visited nodes, negated.
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struct stack_item {
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unsigned src;
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unsigned out_edge;
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unsigned univ_pos;
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};
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// DFS stack. Holds (STATE, TRANS, UNIV_POS) pairs where TRANS is
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// the current outgoing transition of STATE, and UNIV_POS is used
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// when the transition is universal to iterate over all possible
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// destinations.
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std::stack<stack_item> todo_;
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auto& gr = aut->get_graph();
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std::deque<unsigned> init_states;
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std::vector<bool> init_seen(n, false);
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auto push_init = [&](unsigned s)
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{
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if (h_[s] != 0 || init_seen[s])
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return;
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init_seen[s] = true;
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init_states.push_back(s);
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};
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bool track_states = !!(options & scc_info_options::TRACK_STATES);
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bool track_succs = !!(options & scc_info_options::TRACK_SUCCS);
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auto backtrack = [&](unsigned curr)
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{
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if (root_.back().index == h_[curr])
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{
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unsigned num = node_.size();
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acc_cond::mark_t acc = root_.back().acc;
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acc_cond::mark_t common = root_.back().common;
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bool triv = root_.back().trivial;
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node_.emplace_back(acc, common, triv);
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auto& succ = node_.back().succ_;
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unsigned np1 = num + 1;
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auto s = live.rbegin();
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do
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{
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sccof_[*s] = num;
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h_[*s] = np1;
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// Gather all successor SCCs
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if (track_succs)
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for (auto& t: aut->out(*s))
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if (SPOT_LIKELY(t.cond != bddfalse))
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for (unsigned d: aut->univ_dests(t))
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{
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unsigned n = sccof_[d];
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if (n == num || n == -1U)
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continue;
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// If edges are cut, we are not able to
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// maintain proper successor information.
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if (filter_)
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switch (filter_(t, d, filter_data_))
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{
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case edge_filter_choice::keep:
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break;
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case edge_filter_choice::ignore:
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case edge_filter_choice::cut:
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continue;
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}
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succ.emplace_back(n);
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}
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}
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while (*s++ != curr);
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if (track_states)
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{
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auto& nbs = node_.back().states_;
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nbs.insert(nbs.end(), s.base(), live.end());
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}
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node_.back().one_state_ = curr;
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live.erase(s.base(), live.end());
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if (track_succs)
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{
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std::sort(succ.begin(), succ.end());
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succ.erase(std::unique(succ.begin(), succ.end()), succ.end());
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}
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bool accept = !triv && root_.back().accepting;
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node_.back().accepting_ = accept;
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if (accept)
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one_acc_scc_ = num;
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bool reject = triv ||
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aut->acc().maybe_accepting(acc, common).is_false();
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node_.back().rejecting_ = reject;
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root_.pop_back();
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}
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};
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// Setup depth-first search from the initial state. But we may
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// have a conjunction of initial state in alternating automata.
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if (initial_state_ == -1U)
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initial_state_ = aut->get_init_state_number();
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for (unsigned init: aut->univ_dests(initial_state_))
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push_init(init);
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while (!init_states.empty())
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{
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unsigned init = init_states.front();
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init_states.pop_front();
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int spi = h_[init];
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if (spi > 0)
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continue;
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assert(spi == 0);
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h_[init] = --num_;
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root_.emplace_back(num_, acc_cond::mark_t({}));
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todo_.emplace(stack_item{init, gr.state_storage(init).succ, 0});
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live.emplace_back(init);
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while (!todo_.empty())
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{
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// We are looking at the next successor in SUCC.
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unsigned tr_succ = todo_.top().out_edge;
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// If there is no more successor, backtrack.
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if (!tr_succ)
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{
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// We have explored all successors of state CURR.
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unsigned curr = todo_.top().src;
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// Backtrack TODO_.
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todo_.pop();
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// When backtracking the root of an SCC, we must also
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// remove that SCC from the ARC/ROOT stacks. We must
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// discard from H all reachable states from this SCC.
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assert(!root_.empty());
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backtrack(curr);
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continue;
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}
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// We have a successor to look at.
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// Fetch the values we are interested in...
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auto& e = gr.edge_storage(tr_succ);
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// Skip false edges.
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if (SPOT_UNLIKELY(e.cond == bddfalse))
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{
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todo_.top().out_edge = e.next_succ;
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continue;
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}
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unsigned dest = e.dst;
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if ((int) dest < 0)
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{
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// Iterate over all destinations of a universal edge.
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if (todo_.top().univ_pos == 0)
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todo_.top().univ_pos = ~dest + 1;
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const auto& v = gr.dests_vector();
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dest = v[todo_.top().univ_pos];
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// Last universal destination?
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if (~e.dst + v[~e.dst] == todo_.top().univ_pos)
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{
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todo_.top().out_edge = e.next_succ;
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todo_.top().univ_pos = 0;
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}
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else
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{
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++todo_.top().univ_pos;
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}
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}
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else
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{
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todo_.top().out_edge = e.next_succ;
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}
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// Do we really want to look at this
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if (filter_)
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switch (filter_(e, dest, filter_data_))
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{
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case edge_filter_choice::keep:
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break;
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case edge_filter_choice::ignore:
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continue;
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case edge_filter_choice::cut:
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push_init(e.dst);
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continue;
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}
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acc_cond::mark_t acc = e.acc;
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// Are we going to a new state?
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int spi = h_[dest];
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if (spi == 0)
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{
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// Yes. Number it, stack it, and register its successors
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// for later processing.
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h_[dest] = --num_;
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root_.emplace_back(num_, acc);
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todo_.emplace(stack_item{dest, gr.state_storage(dest).succ, 0});
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live.emplace_back(dest);
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continue;
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}
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// We already know the state.
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// Have we reached a maximal SCC?
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if (spi > 0)
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continue;
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// Now this is the most interesting case. We have reached a
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// state S1 which is already part of a non-dead SCC. Any such
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// non-dead SCC has necessarily been crossed by our path to
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// this state: there is a state S2 in our path which belongs
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// to this SCC too. We are going to merge all states between
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// this S1 and S2 into this SCC..
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//
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// This merge is easy to do because the order of the SCC in
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// ROOT is descending: we just have to merge all SCCs from the
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// top of ROOT that have an index lesser than the one of
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// the SCC of S2 (called the "threshold").
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int threshold = spi;
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bool is_accepting = false;
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// If this is a self-loop, check its acceptance alone.
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if (dest == e.src)
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is_accepting = aut->acc().accepting(acc);
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acc_cond::mark_t common = acc;
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assert(!root_.empty());
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while (threshold > root_.back().index)
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{
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acc |= root_.back().acc;
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acc_cond::mark_t in_acc = root_.back().in_acc;
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acc |= in_acc;
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common &= root_.back().common;
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common &= in_acc;
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is_accepting |= root_.back().accepting;
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root_.pop_back();
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assert(!root_.empty());
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}
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// Note that we do not always have
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// threshold == root_.back().index
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// after this loop, the SCC whose index is threshold might have
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// been merged with a higher SCC.
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root_.back().acc |= acc;
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root_.back().common &= common;
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root_.back().accepting |= is_accepting
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|| aut->acc().accepting(root_.back().acc);
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// This SCC is no longer trivial.
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root_.back().trivial = false;
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if (root_.back().accepting
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&& !!(options & scc_info_options::STOP_ON_ACC))
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{
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while (!todo_.empty())
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{
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unsigned curr = todo_.top().src;
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todo_.pop();
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backtrack(curr);
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}
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return;
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}
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}
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}
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if (track_succs && !(options & scc_info_options::STOP_ON_ACC))
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determine_usefulness();
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}
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void scc_info::determine_usefulness()
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{
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// An SCC is useful if it is not rejecting or it has a successor
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// SCC that is useful.
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unsigned scccount = scc_count();
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for (unsigned i = 0; i < scccount; ++i)
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{
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if (!node_[i].is_rejecting())
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{
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node_[i].useful_ = true;
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continue;
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}
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node_[i].useful_ = false;
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for (unsigned j: node_[i].succ())
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if (node_[j].is_useful())
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{
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node_[i].useful_ = true;
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break;
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}
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}
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}
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std::set<acc_cond::mark_t> scc_info::marks_of(unsigned scc) const
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{
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std::set<acc_cond::mark_t> res;
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for (auto& t: inner_edges_of(scc))
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res.insert(t.acc);
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return res;
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}
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std::vector<std::set<acc_cond::mark_t>> scc_info::marks() const
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{
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unsigned n = aut_->num_states();
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std::vector<std::set<acc_cond::mark_t>> result(scc_count());
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for (unsigned src = 0; src < n; ++src)
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{
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unsigned src_scc = scc_of(src);
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if (src_scc == -1U || is_rejecting_scc(src_scc))
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continue;
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auto& s = result[src_scc];
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for (auto& t: aut_->out(src))
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{
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if (scc_of(t.dst) != src_scc || SPOT_UNLIKELY(t.cond == bddfalse))
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continue;
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s.insert(t.acc);
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}
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}
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return result;
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}
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std::vector<bool> scc_info::weak_sccs() const
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{
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unsigned n = scc_count();
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std::vector<bool> result(scc_count());
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auto acc = marks();
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for (unsigned s = 0; s < n; ++s)
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result[s] = is_rejecting_scc(s) || acc[s].size() == 1;
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return result;
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}
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bdd scc_info::scc_ap_support(unsigned scc) const
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{
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bdd support = bddtrue;
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for (auto& t: edges_of(scc))
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support &= bdd_support(t.cond);
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return support;
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}
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bool scc_info::check_scc_emptiness(unsigned n) const
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{
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if (SPOT_UNLIKELY(!aut_->is_existential()))
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throw std::runtime_error("scc_info::check_scc_emptiness() "
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"does not support alternating automata");
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if (SPOT_UNLIKELY(!(options_ & scc_info_options::TRACK_STATES)))
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report_need_track_states();
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return generic_emptiness_check_for_scc(*this, n);
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}
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void scc_info::determine_unknown_acceptance()
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{
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unsigned s = scc_count();
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bool changed = false;
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// iterate over SCCs in topological order
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do
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{
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--s;
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if (!is_rejecting_scc(s) && !is_accepting_scc(s))
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{
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if (SPOT_UNLIKELY(!aut_->is_existential()))
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throw std::runtime_error(
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"scc_info::determine_unknown_acceptance() "
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"does not support alternating automata");
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auto& node = node_[s];
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if (check_scc_emptiness(s))
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node.rejecting_ = true;
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else
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node.accepting_ = true;
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changed = true;
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}
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}
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while (s);
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if (changed && !!(options_ & scc_info_options::TRACK_SUCCS))
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determine_usefulness();
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}
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// A reimplementation of spot::bfs_steps for explicit automata.
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// bool filter(const twa_graph::edge_storage_t&) returns true if the
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// transition has to be filtered out.
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// bool match(const twa_graph::edge_storage_t&) returns true if the BFS
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// has to stop after this transition.
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// Returns the destination of the matched transition, or -1 if no match has
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// been found.
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template <typename edge_filter_type,
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typename step_matcher_type>
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static int explicit_bfs_steps(const const_twa_graph_ptr aut, unsigned start,
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twa_run::steps& steps,
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edge_filter_type filter,
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step_matcher_type match)
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{
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auto& gr = aut->get_graph();
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// The backlink of each state is the index of the edge that
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// discovered it in the BFS, so BACKLINKS effectively describes a
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// tree rooted at START.
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std::vector<unsigned> backlinks(aut->num_states(), 0);
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std::deque<unsigned> bfs_queue;
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bfs_queue.emplace_back(start);
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while (!bfs_queue.empty())
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{
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unsigned src = bfs_queue.front();
|
|
bfs_queue.pop_front();
|
|
for (auto& t: aut->out(src))
|
|
{
|
|
if (SPOT_UNLIKELY(t.cond == bddfalse) || filter(t))
|
|
continue;
|
|
|
|
if (match(t))
|
|
{
|
|
// Build the path from START to T.DST by following the
|
|
// backlinks, starting at the end.
|
|
twa_run::steps path;
|
|
path.emplace_front(aut->state_from_number(t.src),
|
|
t.cond, t.acc);
|
|
unsigned src = t.src;
|
|
while (src != start)
|
|
{
|
|
unsigned bl_num = backlinks[src];
|
|
assert(bl_num);
|
|
auto& bl_edge = gr.edge_storage(bl_num);
|
|
src = bl_edge.src;
|
|
path.emplace_front(aut->state_from_number(src),
|
|
bl_edge.cond, bl_edge.acc);
|
|
}
|
|
steps.splice(steps.end(), path);
|
|
return t.dst;
|
|
}
|
|
|
|
if (!backlinks[t.dst])
|
|
{
|
|
backlinks[t.dst] = aut->edge_number(t);
|
|
bfs_queue.push_back(t.dst);
|
|
}
|
|
}
|
|
}
|
|
return -1;
|
|
}
|
|
|
|
void scc_info::get_accepting_run(unsigned scc, twa_run_ptr r) const
|
|
{
|
|
const scc_info::scc_node& node = node_[scc];
|
|
if (!node.is_accepting())
|
|
throw std::runtime_error("scc_info::get_accepting_cycle needs to be "
|
|
"called on an accepting scc");
|
|
if (SPOT_UNLIKELY(!(options_ & scc_info_options::STOP_ON_ACC)))
|
|
report_need_stop_on_acc();
|
|
|
|
unsigned init = aut_->get_init_state_number();
|
|
|
|
// The accepting cycle should honor any edge filter we have.
|
|
auto filter = [this](const twa_graph::edge_storage_t& t)
|
|
{
|
|
if (!filter_)
|
|
return false;
|
|
// Filter out ignored and cut transitions.
|
|
return filter_(t, t.dst, filter_data_)
|
|
!= edge_filter_choice::keep;
|
|
};
|
|
|
|
// The SCC exploration has a small optimization that can flag SCCs
|
|
// as accepting if they contain accepting self-loops, even if the
|
|
// SCC itself has some Fin acceptance to check. So we have to
|
|
// deal with this situation before we look for the more complex
|
|
// case of satisfying the condition with a larger cycle. We do
|
|
// this first, because it's good to return a small cycle if we
|
|
// can.
|
|
const acc_cond& acccond = aut_->acc();
|
|
unsigned num_states = aut_->num_states();
|
|
for (unsigned s = 0; s < num_states; ++s)
|
|
{
|
|
// We scan the entire state to find those in the SCC, because
|
|
// we cannot rely on TRACK_STATES being on.
|
|
if (scc_of(s) != scc)
|
|
continue;
|
|
for (auto& e: aut_->out(s))
|
|
if (e.src == e.dst && SPOT_LIKELY(e.cond != bddfalse)
|
|
&& !filter(e) && acccond.accepting(e.acc))
|
|
{
|
|
// We have found an accepting self-loop. That's the cycle
|
|
// part of our accepting run.
|
|
r->cycle.clear();
|
|
r->cycle.emplace_front(aut_->state_from_number(e.src),
|
|
e.cond, e.acc);
|
|
// Add the prefix.
|
|
r->prefix.clear();
|
|
if (e.src != init)
|
|
explicit_bfs_steps(aut_, init, r->prefix,
|
|
[](const twa_graph::edge_storage_t&)
|
|
{
|
|
return false; // Do not filter.
|
|
},
|
|
[&](const twa_graph::edge_storage_t& t)
|
|
{
|
|
return t.dst == e.src;
|
|
});
|
|
return;
|
|
}
|
|
}
|
|
|
|
// Prefix search
|
|
|
|
r->prefix.clear();
|
|
int substart;
|
|
if (scc_of(init) == scc)
|
|
{
|
|
// The initial state is in the target SCC: no prefix needed.
|
|
substart = init;
|
|
}
|
|
else
|
|
{
|
|
substart = explicit_bfs_steps(aut_, init, r->prefix,
|
|
[](const twa_graph::edge_storage_t&)
|
|
{
|
|
return false; // Do not filter.
|
|
},
|
|
[&](const twa_graph::edge_storage_t& t)
|
|
{
|
|
// Match any state in the SCC.
|
|
return scc_of(t.dst) == scc;
|
|
});
|
|
}
|
|
|
|
const unsigned start = (unsigned)substart;
|
|
|
|
// Cycle search
|
|
acc_cond actual_cond = acccond.restrict_to(node.acc_marks())
|
|
.force_inf(node.acc_marks());
|
|
assert(!actual_cond.uses_fin_acceptance());
|
|
assert(!actual_cond.is_f());
|
|
acc_cond::mark_t acc_to_see = actual_cond.accepting_sets(node.acc_marks());
|
|
r->cycle.clear();
|
|
|
|
do
|
|
{
|
|
substart = explicit_bfs_steps(aut_, substart, r->cycle,
|
|
[&](const twa_graph::edge_storage_t& t)
|
|
{
|
|
// Stay in the specified SCC.
|
|
return scc_of(t.dst) != scc || filter(t);
|
|
},
|
|
[&](const twa_graph::edge_storage_t& t)
|
|
{
|
|
if (!acc_to_see) // We have seen all the marks, go back to start.
|
|
return t.dst == start;
|
|
if (t.acc & acc_to_see)
|
|
{
|
|
acc_to_see -= t.acc;
|
|
return true;
|
|
}
|
|
return false;
|
|
});
|
|
assert(0 <= substart);
|
|
}
|
|
while (acc_to_see || (unsigned)substart != start);
|
|
}
|
|
|
|
std::ostream&
|
|
dump_scc_info_dot(std::ostream& out,
|
|
const_twa_graph_ptr aut, scc_info* sccinfo)
|
|
{
|
|
scc_info* m = sccinfo ? sccinfo : new scc_info(aut);
|
|
|
|
out << "digraph G {\n i [label=\"\", style=invis, height=0]\n";
|
|
int start = m->scc_of(aut->get_init_state_number());
|
|
out << " i -> " << start << std::endl;
|
|
|
|
std::vector<bool> seen(m->scc_count());
|
|
seen[start] = true;
|
|
|
|
std::queue<int> q;
|
|
q.push(start);
|
|
while (!q.empty())
|
|
{
|
|
int state = q.front();
|
|
q.pop();
|
|
|
|
out << " " << state << " [shape=box,"
|
|
<< (aut->acc().accepting(m->acc_sets_of(state)) ?
|
|
"style=bold," : "")
|
|
<< "label=\"" << state;
|
|
{
|
|
size_t n = m->states_of(state).size();
|
|
out << " (" << n << " state";
|
|
if (n > 1)
|
|
out << 's';
|
|
out << ')';
|
|
}
|
|
out << "\"]\n";
|
|
|
|
for (unsigned dest: m->succ(state))
|
|
{
|
|
out << " " << state << " -> " << dest << '\n';
|
|
if (seen[dest])
|
|
continue;
|
|
seen[dest] = true;
|
|
q.push(dest);
|
|
}
|
|
}
|
|
|
|
out << "}\n";
|
|
if (!sccinfo)
|
|
delete m;
|
|
return out;
|
|
}
|
|
|
|
std::vector<twa_graph_ptr>
|
|
scc_info::split_on_sets(unsigned scc, acc_cond::mark_t sets,
|
|
bool preserve_names) const
|
|
{
|
|
if (SPOT_UNLIKELY(!(options_ & scc_info_options::TRACK_STATES)))
|
|
report_need_track_states();
|
|
std::vector<twa_graph_ptr> res;
|
|
|
|
std::vector<bool> seen(aut_->num_states(), false);
|
|
std::vector<bool> cur(aut_->num_states(), false);
|
|
|
|
for (unsigned init: states_of(scc))
|
|
{
|
|
if (seen[init])
|
|
continue;
|
|
cur.assign(aut_->num_states(), false);
|
|
|
|
auto copy = make_twa_graph(aut_->get_dict());
|
|
copy->copy_ap_of(aut_);
|
|
copy->copy_acceptance_of(aut_);
|
|
copy->prop_state_acc(aut_->prop_state_acc());
|
|
transform_accessible(aut_, copy, [&](unsigned src,
|
|
bdd& cond,
|
|
acc_cond::mark_t& m,
|
|
unsigned dst)
|
|
{
|
|
cur[src] = seen[src] = true;
|
|
if (filter_)
|
|
{
|
|
twa_graph::edge_storage_t e;
|
|
e.cond = cond;
|
|
e.acc = m;
|
|
e.src = src;
|
|
e.dst = dst;
|
|
if (filter_(e, dst, filter_data_)
|
|
!= edge_filter_choice::keep)
|
|
{
|
|
cond = bddfalse;
|
|
return;
|
|
}
|
|
}
|
|
if (scc_of(dst) != scc
|
|
|| (m & sets)
|
|
|| (seen[dst] && !cur[dst]))
|
|
{
|
|
cond = bddfalse;
|
|
return;
|
|
}
|
|
},
|
|
init);
|
|
if (copy->num_edges())
|
|
{
|
|
if (preserve_names)
|
|
copy->copy_state_names_from(aut_);
|
|
res.push_back(copy);
|
|
}
|
|
}
|
|
return res;
|
|
}
|
|
|
|
void
|
|
scc_info::states_on_acc_cycle_of_rec(unsigned scc,
|
|
acc_cond::mark_t all_fin,
|
|
acc_cond::mark_t all_inf,
|
|
unsigned nb_pairs,
|
|
std::vector<acc_cond::rs_pair>& pairs,
|
|
std::vector<unsigned>& res,
|
|
std::vector<unsigned>& old) const
|
|
{
|
|
if (is_useful_scc(scc) && !is_rejecting_scc(scc))
|
|
{
|
|
acc_cond::mark_t all_acc = acc_sets_of(scc);
|
|
acc_cond::mark_t fin = all_fin & all_acc;
|
|
acc_cond::mark_t inf = all_inf & all_acc;
|
|
|
|
// Get all Fin acceptance set that appears in the SCC and does not have
|
|
// their corresponding Inf appearing in the SCC.
|
|
acc_cond::mark_t m = {};
|
|
if (fin)
|
|
for (unsigned p = 0; p < nb_pairs; ++p)
|
|
if (fin & pairs[p].fin && !(inf & pairs[p].inf))
|
|
m |= pairs[p].fin;
|
|
|
|
if (m)
|
|
for (const twa_graph_ptr& aut : split_on_sets(scc, m))
|
|
{
|
|
auto orig_sts = aut->get_named_prop
|
|
<std::vector<unsigned>>("original-states");
|
|
|
|
// Update mapping of state numbers between the current automaton
|
|
// and the starting one.
|
|
for (unsigned i = 0; i < orig_sts->size(); ++i)
|
|
(*orig_sts)[i] = old[(*orig_sts)[i]];
|
|
|
|
scc_info si_tmp(aut, scc_info_options::TRACK_STATES
|
|
| scc_info_options::TRACK_SUCCS);
|
|
unsigned scccount_tmp = si_tmp.scc_count();
|
|
for (unsigned scc_tmp = 0; scc_tmp < scccount_tmp; ++scc_tmp)
|
|
si_tmp.states_on_acc_cycle_of_rec(scc_tmp, all_fin, all_inf,
|
|
nb_pairs, pairs, res,
|
|
*orig_sts);
|
|
}
|
|
|
|
else // Accepting cycle found.
|
|
for (unsigned s : states_of(scc))
|
|
res.push_back(old[s]);
|
|
}
|
|
}
|
|
|
|
std::vector<unsigned>
|
|
scc_info::states_on_acc_cycle_of(unsigned scc) const
|
|
{
|
|
std::vector<acc_cond::rs_pair> pairs;
|
|
if (!aut_->acc().is_streett_like(pairs))
|
|
throw std::runtime_error("states_on_acc_cycle_of only works with "
|
|
"Streett-like acceptance condition");
|
|
unsigned nb_pairs = pairs.size();
|
|
|
|
std::vector<unsigned> res;
|
|
if (is_useful_scc(scc) && !is_rejecting_scc(scc))
|
|
{
|
|
std::vector<unsigned> old;
|
|
unsigned nb_states = aut_->num_states();
|
|
for (unsigned i = 0; i < nb_states; ++i)
|
|
old.push_back(i);
|
|
|
|
acc_cond::mark_t all_fin = {};
|
|
acc_cond::mark_t all_inf = {};
|
|
std::tie(all_inf, all_fin) = aut_->get_acceptance().used_inf_fin_sets();
|
|
|
|
states_on_acc_cycle_of_rec(scc, all_fin, all_inf, nb_pairs, pairs, res,
|
|
old);
|
|
}
|
|
|
|
return res;
|
|
}
|
|
|
|
scc_info::edge_filter_choice
|
|
scc_and_mark_filter::filter_scc_and_mark_
|
|
(const twa_graph::edge_storage_t& e, unsigned dst, void* data)
|
|
{
|
|
auto& d = *reinterpret_cast<scc_and_mark_filter*>(data);
|
|
if (d.lower_si_->scc_of(dst) != d.lower_scc_)
|
|
return scc_info::edge_filter_choice::ignore;
|
|
if (d.cut_sets_ & e.acc)
|
|
return scc_info::edge_filter_choice::cut;
|
|
return scc_info::edge_filter_choice::keep;
|
|
}
|
|
|
|
scc_info::edge_filter_choice
|
|
scc_and_mark_filter::filter_mark_
|
|
(const twa_graph::edge_storage_t& e, unsigned, void* data)
|
|
{
|
|
auto& d = *reinterpret_cast<scc_and_mark_filter*>(data);
|
|
if (d.cut_sets_ & e.acc)
|
|
return scc_info::edge_filter_choice::cut;
|
|
return scc_info::edge_filter_choice::keep;
|
|
}
|
|
|
|
}
|