edb220af6a
This gets rid of many state*/int conversions. We now use scc_info instead of scc_map. Finally the loops are now all 0-based. * src/tgbaalgos/sccinfo.cc, src/tgbaalgos/sccinfo.hh (weak_sccs): New method. * src/tgbaalgos/dtbasat.cc, src/tgbaalgos/dtbasat.hh, src/tgbaalgos/dtgbasat.cc, src/tgbaalgos/dtgbasat.hh: Use the tgba_digraph interface. * src/tgbatest/ltl2tgba.cc: Adjust calls.
837 lines
20 KiB
C++
837 lines
20 KiB
C++
// -*- coding: utf-8 -*-
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// Copyright (C) 2013, 2014 Laboratoire de Recherche et Développement
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// de l'Epita.
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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 <iostream>
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#include <fstream>
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#include <sstream>
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#include "dtbasat.hh"
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#include "reachiter.hh"
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#include <map>
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#include <utility>
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#include "sccinfo.hh"
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#include "tgba/bddprint.hh"
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#include "stats.hh"
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#include "misc/satsolver.hh"
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#include "misc/timer.hh"
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#include "dotty.hh"
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// If you set the SPOT_TMPKEEP environment variable the temporary
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// file used to communicate with the sat solver will be left in
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// the current directory.
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//
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// Additionally, if the following DEBUG macro is set to 1, the CNF
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// file will be output with a comment before each clause, and an
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// additional output file (dtba-sat.dbg) will be created with a list
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// of all positive variables in the result and their meaning.
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#define DEBUG 0
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#if DEBUG
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#define dout out << "c "
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#define trace std::cerr
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#else
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#define dout while (0) std::cout
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#define trace dout
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#endif
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namespace spot
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{
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namespace
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{
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static bdd_dict_ptr debug_dict;
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struct transition
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{
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unsigned src;
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bdd cond;
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unsigned dst;
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transition(unsigned src, bdd cond, unsigned dst)
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: src(src), cond(cond), dst(dst)
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{
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}
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bool operator<(const transition& other) const
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{
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if (this->src < other.src)
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return true;
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if (this->src > other.src)
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return false;
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if (this->dst < other.dst)
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return true;
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if (this->dst > other.dst)
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return false;
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return this->cond.id() < other.cond.id();
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}
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bool operator==(const transition& other) const
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{
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return (this->src == other.src
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&& this->dst == other.dst
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&& this->cond.id() == other.cond.id());
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}
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};
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struct src_cond
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{
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unsigned src;
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bdd cond;
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src_cond(unsigned src, bdd cond)
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: src(src), cond(cond)
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{
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}
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bool operator<(const src_cond& other) const
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{
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if (this->src < other.src)
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return true;
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if (this->src > other.src)
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return false;
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return this->cond.id() < other.cond.id();
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}
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bool operator==(const src_cond& other) const
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{
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return (this->src == other.src
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&& this->cond.id() == other.cond.id());
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}
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};
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struct state_pair
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{
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unsigned a;
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unsigned b;
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state_pair(unsigned a, unsigned b)
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: a(a), b(b)
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{
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}
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bool operator<(const state_pair& other) const
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{
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if (this->a < other.a)
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return true;
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if (this->a > other.a)
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return false;
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if (this->b < other.b)
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return true;
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if (this->b > other.b)
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return false;
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return false;
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}
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};
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struct path
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{
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int src_cand;
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int src_ref;
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int dst_cand;
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int dst_ref;
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path(int src_cand, int src_ref,
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int dst_cand, int dst_ref)
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: src_cand(src_cand), src_ref(src_ref),
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dst_cand(dst_cand), dst_ref(dst_ref)
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{
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}
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bool operator<(const path& other) const
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{
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if (this->src_cand < other.src_cand)
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return true;
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if (this->src_cand > other.src_cand)
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return false;
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if (this->src_ref < other.src_ref)
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return true;
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if (this->src_ref > other.src_ref)
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return false;
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if (this->dst_cand < other.dst_cand)
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return true;
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if (this->dst_cand > other.dst_cand)
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return false;
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if (this->dst_ref < other.dst_ref)
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return true;
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if (this->dst_ref > other.dst_ref)
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return false;
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return false;
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}
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};
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std::ostream& operator<<(std::ostream& os, const state_pair& p)
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{
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os << '<' << p.a << ',' << p.b << '>';
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return os;
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}
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std::ostream& operator<<(std::ostream& os, const transition& t)
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{
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os << '<' << t.src << ','
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<< bdd_format_formula(debug_dict, t.cond)
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<< ',' << t.dst << '>';
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return os;
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}
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std::ostream& operator<<(std::ostream& os, const path& p)
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{
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os << '<'
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<< p.src_cand << ','
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<< p.src_ref << ','
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<< p.dst_cand << ','
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<< p.dst_ref << '>';
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return os;
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}
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struct dict
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{
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typedef std::map<transition, int> trans_map;
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trans_map transid;
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trans_map transacc;
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typedef std::map<int, transition> rev_map;
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rev_map revtransid;
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rev_map revtransacc;
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std::map<state_pair, int> prodid;
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std::map<path, int> pathid_ref;
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std::map<path, int> pathid_cand;
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int nvars = 0;
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unsigned cand_size;
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};
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unsigned declare_vars(const const_tgba_digraph_ptr& aut,
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dict& d,
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bdd ap,
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bool state_based,
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scc_info& sm)
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{
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unsigned ref_size = aut->num_states();
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if (d.cand_size == -1U)
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for (unsigned i = 0; i < ref_size; ++i)
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if (sm.reachable_state(i))
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++d.cand_size; // Note that we start from -1U the
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// cand_size is one less than the
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// number of reachable states.
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for (unsigned i = 0; i < ref_size; ++i)
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{
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if (!sm.reachable_state(i))
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continue;
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unsigned i_scc = sm.scc_of(i);
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bool is_trivial = sm.is_trivial(i_scc);
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for (unsigned j = 0; j < d.cand_size; ++j)
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{
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d.prodid[state_pair(j, i)] = ++d.nvars;
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// skip trivial SCCs
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if (is_trivial)
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continue;
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for (unsigned k = 0; k < ref_size; ++k)
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{
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if (!sm.reachable_state(k))
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continue;
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if (sm.scc_of(k) != i_scc)
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continue;
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for (unsigned l = 0; l < d.cand_size; ++l)
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{
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if (i == k && j == l)
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continue;
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path p(j, i, l, k);
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d.pathid_ref[p] = ++d.nvars;
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d.pathid_cand[p] = ++d.nvars;
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}
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}
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}
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}
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for (unsigned i = 0; i < d.cand_size; ++i)
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{
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int transacc = -1;
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if (state_based)
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// All outgoing transitions use the same acceptance variable.
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transacc = ++d.nvars;
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for (unsigned j = 0; j < d.cand_size; ++j)
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{
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bdd all = bddtrue;
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while (all != bddfalse)
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{
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bdd one = bdd_satoneset(all, ap, bddfalse);
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all -= one;
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transition t(i, one, j);
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d.transid[t] = ++d.nvars;
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d.revtransid.emplace(d.nvars, t);
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int ta = d.transacc[t] =
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state_based ? transacc : ++d.nvars;
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d.revtransacc.emplace(ta, t);
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}
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}
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}
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return ref_size;
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}
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typedef std::pair<int, int> sat_stats;
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static
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sat_stats dtba_to_sat(std::ostream& out,
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const const_tgba_digraph_ptr& ref,
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dict& d, bool state_based)
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{
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clause_counter nclauses;
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// Compute the AP used in the hard way.
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bdd ap = bddtrue;
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for (auto& t: ref->transitions())
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if (!ref->is_dead_transition(t))
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ap &= bdd_support(t.cond);
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// Count the number of atomic propositions
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int nap = 0;
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{
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bdd cur = ap;
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while (cur != bddtrue)
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{
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++nap;
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cur = bdd_high(cur);
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}
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nap = 1 << nap;
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}
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scc_info sm(ref);
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// Number all the SAT variables we may need.
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unsigned ref_size = declare_vars(ref, d, ap, state_based, sm);
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// empty automaton is impossible
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if (d.cand_size == 0)
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{
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out << "p cnf 1 2\n-1 0\n1 0\n";
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return std::make_pair(1, 2);
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}
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// An empty line for the header
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out << " \n";
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#if DEBUG
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debug_dict = ref->get_dict();
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dout << "ref_size: " << ref_size << '\n';
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dout << "cand_size: " << d.cand_size << '\n';
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#endif
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dout << "symmetry-breaking clauses\n";
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unsigned j = 0;
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bdd all = bddtrue;
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while (all != bddfalse)
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{
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bdd s = bdd_satoneset(all, ap, bddfalse);
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all -= s;
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for (unsigned i = 0; i < d.cand_size - 1; ++i)
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for (unsigned k = i * nap + j + 2; k < d.cand_size; ++k)
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{
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transition t(i, s, k);
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int ti = d.transid[t];
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dout << "¬" << t << '\n';
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out << -ti << " 0\n";
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++nclauses;
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}
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++j;
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}
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if (!nclauses.nb_clauses())
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dout << "(none)\n";
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dout << "(1) the candidate automaton is complete\n";
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for (unsigned q1 = 0; q1 < d.cand_size; ++q1)
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{
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bdd all = bddtrue;
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while (all != bddfalse)
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{
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bdd s = bdd_satoneset(all, ap, bddfalse);
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all -= s;
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#if DEBUG
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dout;
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for (unsigned q2 = 0; q2 < d.cand_size; q2++)
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{
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transition t(q1, s, q2);
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out << t << "δ";
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if (q2 != d.cand_size)
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out << " ∨ ";
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}
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out << '\n';
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#endif
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for (unsigned q2 = 0; q2 < d.cand_size; q2++)
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{
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transition t(q1, s, q2);
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int ti = d.transid[t];
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out << ti << ' ';
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}
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out << "0\n";
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++nclauses;
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}
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}
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dout << "(2) the initial state is reachable\n";
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dout << state_pair(0, 0) << '\n';
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out << d.prodid[state_pair(0, 0)] << " 0\n";
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++nclauses;
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for (std::map<state_pair, int>::const_iterator pit = d.prodid.begin();
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pit != d.prodid.end(); ++pit)
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{
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unsigned q1 = pit->first.a;
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unsigned q1p = pit->first.b;
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dout << "(3) augmenting paths based on Cand[" << q1
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<< "] and Ref[" << q1p << "]\n";
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for (auto& tr: ref->out(q1p))
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{
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unsigned dp = tr.dst;
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bdd all = tr.cond;
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while (all != bddfalse)
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{
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bdd s = bdd_satoneset(all, ap, bddfalse);
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all -= s;
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for (unsigned q2 = 0; q2 < d.cand_size; q2++)
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{
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transition t(q1, s, q2);
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int ti = d.transid[t];
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state_pair p2(q2, dp);
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int succ = d.prodid[p2];
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if (pit->second == succ)
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continue;
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dout << pit->first << " ∧ " << t << "δ → " << p2 << '\n';
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out << -pit->second << ' ' << -ti << ' '
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<< succ << " 0\n";
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++nclauses;
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}
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}
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}
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}
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bdd all_acc = ref->all_acceptance_conditions();
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// construction of contraints (4,5) : all loops in the product
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// where no accepting run is detected in the ref. automaton,
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// must also be marked as not accepting in the cand. automaton
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for (unsigned q1p = 0; q1p < ref_size; ++q1p)
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{
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if (!sm.reachable_state(q1p))
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continue;
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unsigned q1p_scc = sm.scc_of(q1p);
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if (sm.is_trivial(q1p_scc))
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continue;
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for (unsigned q2p = 0; q2p < ref_size; ++q2p)
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{
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if (!sm.reachable_state(q2p))
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continue;
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// We are only interested in transition that can form a
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// cycle, so they must belong to the same SCC.
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if (sm.scc_of(q2p) != q1p_scc)
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continue;
|
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for (unsigned q1 = 0; q1 < d.cand_size; ++q1)
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for (unsigned q2 = 0; q2 < d.cand_size; ++q2)
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{
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path p1(q1, q1p, q2, q2p);
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dout << "(4&5) matching paths from reference based on "
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<< p1 << '\n';
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int pid1;
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if (q1 == q2 && q1p == q2p)
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pid1 = d.prodid[state_pair(q1, q1p)];
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else
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pid1 = d.pathid_ref[p1];
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for (auto& tr: ref->out(q2p))
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{
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unsigned dp = tr.dst;
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// Skip destinations not in the SCC.
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if (sm.scc_of(dp) != q1p_scc)
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continue;
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|
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if (tr.acc == all_acc)
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continue;
|
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for (unsigned q3 = 0; q3 < d.cand_size; ++q3)
|
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{
|
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if (dp == q1p && q3 == q1) // (4) looping
|
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{
|
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bdd all = tr.cond;
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||
while (all != bddfalse)
|
||
{
|
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bdd s = bdd_satoneset(all, ap, bddfalse);
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all -= s;
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||
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transition t(q2, s, q1);
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int ti = d.transid[t];
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int ta = d.transacc[t];
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dout << p1 << "R ∧ " << t << "δ → ¬" << t
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<< "F\n";
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out << -pid1 << ' ' << -ti << ' '
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<< -ta << " 0\n";
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++nclauses;
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}
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||
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||
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}
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||
else // (5) not looping
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||
{
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path p2 = path(q1, q1p, q3, dp);
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int pid2 = d.pathid_ref[p2];
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|
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if (pid1 == pid2)
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continue;
|
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|
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bdd all = tr.cond;
|
||
while (all != bddfalse)
|
||
{
|
||
bdd s = bdd_satoneset(all, ap, bddfalse);
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all -= s;
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|
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transition t(q2, s, q3);
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int ti = d.transid[t];
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dout << p1 << "R ∧ " << t << "δ → " << p2
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<< "R\n";
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out << -pid1 << ' ' << -ti << ' '
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<< pid2 << " 0\n";
|
||
++nclauses;
|
||
}
|
||
}
|
||
}
|
||
}
|
||
}
|
||
}
|
||
}
|
||
// construction of contraints (6,7): all loops in the product
|
||
// where accepting run is detected in the ref. automaton, must
|
||
// also be marked as accepting in the candidate.
|
||
for (unsigned q1p = 0; q1p < ref_size; ++q1p)
|
||
{
|
||
if (!sm.reachable_state(q1p))
|
||
continue;
|
||
unsigned q1p_scc = sm.scc_of(q1p);
|
||
if (sm.is_trivial(q1p_scc))
|
||
continue;
|
||
for (unsigned q2p = 0; q2p < ref_size; ++q2p)
|
||
{
|
||
if (!sm.reachable_state(q2p))
|
||
continue;
|
||
// We are only interested in transition that can form a
|
||
// cycle, so they must belong to the same SCC.
|
||
if (sm.scc_of(q2p) != q1p_scc)
|
||
continue;
|
||
for (unsigned q1 = 0; q1 < d.cand_size; ++q1)
|
||
for (unsigned q2 = 0; q2 < d.cand_size; ++q2)
|
||
{
|
||
path p1(q1, q1p, q2, q2p);
|
||
dout << "(6&7) matching paths from candidate based on "
|
||
<< p1 << '\n';
|
||
|
||
int pid1;
|
||
if (q1 == q2 && q1p == q2p)
|
||
pid1 = d.prodid[state_pair(q1, q1p)];
|
||
else
|
||
pid1 = d.pathid_cand[p1];
|
||
|
||
for (auto& tr: ref->out(q2p))
|
||
{
|
||
unsigned dp = tr.dst;
|
||
// Skip destinations not in the SCC.
|
||
if (sm.scc_of(dp) != q1p_scc)
|
||
continue;
|
||
for (unsigned q3 = 0; q3 < d.cand_size; q3++)
|
||
{
|
||
if (dp == q1p && q3 == q1) // (6) looping
|
||
{
|
||
// We only care about the looping case if
|
||
// it is accepting in the reference.
|
||
if (tr.acc != all_acc)
|
||
continue;
|
||
bdd all = tr.cond;
|
||
while (all != bddfalse)
|
||
{
|
||
bdd s = bdd_satoneset(all, ap, bddfalse);
|
||
all -= s;
|
||
|
||
transition t(q2, s, q1);
|
||
int ti = d.transid[t];
|
||
int ta = d.transacc[t];
|
||
|
||
dout << p1 << "C ∧ " << t << "δ → " << t
|
||
<< "F\n";
|
||
out << -pid1 << ' ' << -ti << ' ' << ta
|
||
<< " 0\n";
|
||
++nclauses;
|
||
}
|
||
}
|
||
else // (7) no loop
|
||
{
|
||
path p2 = path(q1, q1p, q3, dp);
|
||
int pid2 = d.pathid_cand[p2];
|
||
|
||
if (pid1 == pid2)
|
||
continue;
|
||
|
||
bdd all = tr.cond;
|
||
while (all != bddfalse)
|
||
{
|
||
bdd s = bdd_satoneset(all, ap, bddfalse);
|
||
all -= s;
|
||
|
||
transition t(q2, s, q3);
|
||
int ti = d.transid[t];
|
||
int ta = d.transacc[t];
|
||
|
||
dout << p1 << "C ∧ " << t << "δ ∧ ¬"
|
||
<< t << "F → " << p2 << "C\n";
|
||
|
||
out << -pid1 << ' ' << -ti << ' '
|
||
<< ta << ' ' << pid2 << " 0\n";
|
||
++nclauses;
|
||
}
|
||
}
|
||
}
|
||
}
|
||
}
|
||
}
|
||
}
|
||
out.seekp(0);
|
||
out << "p cnf " << d.nvars << ' ' << nclauses.nb_clauses();
|
||
return std::make_pair(d.nvars, nclauses.nb_clauses());
|
||
}
|
||
|
||
static tgba_digraph_ptr
|
||
sat_build(const satsolver::solution& solution, dict& satdict,
|
||
const_tgba_digraph_ptr aut, bool state_based)
|
||
{
|
||
auto autdict = aut->get_dict();
|
||
auto a = make_tgba_digraph(autdict);
|
||
a->copy_ap_of(aut);
|
||
bdd acc = a->set_single_acceptance_set();
|
||
a->new_states(satdict.cand_size);
|
||
|
||
unsigned last_aut_trans = -1U;
|
||
const transition* last_sat_trans = nullptr;
|
||
|
||
#if DEBUG
|
||
std::fstream out("dtba-sat.dbg",
|
||
std::ios_base::trunc | std::ios_base::out);
|
||
out.exceptions(std::ifstream::failbit | std::ifstream::badbit);
|
||
std::set<int> positive;
|
||
#endif
|
||
|
||
dout << "--- transition variables ---\n";
|
||
std::set<int> acc_states;
|
||
std::set<src_cond> seen_trans;
|
||
for (int v: solution)
|
||
{
|
||
if (v < 0) // FIXME: maybe we can have (v < NNN)?
|
||
continue;
|
||
|
||
#if DEBUG
|
||
positive.insert(v);
|
||
#endif
|
||
|
||
dict::rev_map::const_iterator t = satdict.revtransid.find(v);
|
||
|
||
if (t != satdict.revtransid.end())
|
||
{
|
||
// Skip (s,l,d2) if we have already seen some (s,l,d1).
|
||
if (seen_trans.insert(src_cond(t->second.src,
|
||
t->second.cond)).second)
|
||
{
|
||
// Mark the transition as accepting if the source is.
|
||
bool accept = state_based
|
||
&& acc_states.find(t->second.src) != acc_states.end();
|
||
|
||
last_aut_trans =
|
||
a->new_acc_transition(t->second.src, t->second.dst,
|
||
t->second.cond, accept);
|
||
last_sat_trans = &t->second;
|
||
|
||
dout << v << '\t' << t->second << "δ\n";
|
||
}
|
||
}
|
||
else
|
||
{
|
||
t = satdict.revtransacc.find(v);
|
||
if (t != satdict.revtransacc.end())
|
||
{
|
||
dout << v << '\t' << t->second << "F\n";
|
||
if (last_sat_trans && t->second == *last_sat_trans)
|
||
{
|
||
assert(!state_based);
|
||
// This assumes that the SAT solvers output
|
||
// variables in increasing order.
|
||
a->trans_data(last_aut_trans).acc = acc;
|
||
}
|
||
else if (state_based)
|
||
{
|
||
// Accepting translations actually correspond to
|
||
// states and are announced before listing
|
||
// outgoing transitions. Again, this assumes
|
||
// that the SAT solvers output variables in
|
||
// increasing order.
|
||
acc_states.insert(t->second.src);
|
||
}
|
||
}
|
||
}
|
||
}
|
||
#if DEBUG
|
||
dout << "--- state_pair variables ---\n";
|
||
for (auto pit: satdict.prodid)
|
||
if (positive.find(pit.second) != positive.end())
|
||
dout << pit.second << '\t' << pit.first << "C\n";
|
||
else
|
||
dout << -pit.second << "\t¬" << pit.first << "C\n";
|
||
|
||
dout << "--- pathid_cand variables ---\n";
|
||
for (auto pit: satdict.pathid_cand)
|
||
if (positive.find(pit.second) != positive.end())
|
||
dout << pit.second << '\t' << pit.first << "C\n";
|
||
else
|
||
dout << -pit.second << "\t¬" << pit.first << "C\n";
|
||
|
||
dout << "--- pathid_ref variables ---\n";
|
||
for (auto pit: satdict.pathid_ref)
|
||
if (positive.find(pit.second) != positive.end())
|
||
dout << pit.second << '\t' << pit.first << "R\n";
|
||
else
|
||
dout << -pit.second << "\t¬" << pit.first << "C\n";
|
||
#endif
|
||
a->merge_transitions();
|
||
return a;
|
||
}
|
||
}
|
||
|
||
tgba_digraph_ptr
|
||
dtba_sat_synthetize(const const_tgba_digraph_ptr& a,
|
||
int target_state_number, bool state_based)
|
||
{
|
||
if (target_state_number == 0)
|
||
return nullptr;
|
||
trace << "dtba_sat_synthetize(..., states = " << target_state_number
|
||
<< ", state_based = " << state_based << ")\n";
|
||
dict d;
|
||
d.cand_size = target_state_number;
|
||
|
||
satsolver solver;
|
||
satsolver::solution_pair solution;
|
||
|
||
timer_map t;
|
||
t.start("encode");
|
||
sat_stats s = dtba_to_sat(solver(), a, d, state_based);
|
||
t.stop("encode");
|
||
t.start("solve");
|
||
solution = solver.get_solution();
|
||
t.stop("solve");
|
||
|
||
tgba_digraph_ptr res = nullptr;
|
||
if (!solution.second.empty())
|
||
res = sat_build(solution.second, d, a, state_based);
|
||
|
||
static const char* log = getenv("SPOT_SATLOG");
|
||
if (log)
|
||
{
|
||
std::fstream out(log,
|
||
std::ios_base::app | std::ios_base::out);
|
||
out.exceptions(std::ifstream::failbit | std::ifstream::badbit);
|
||
const timer& te = t.timer("encode");
|
||
const timer& ts = t.timer("solve");
|
||
out << target_state_number << ',';
|
||
if (res)
|
||
{
|
||
tgba_sub_statistics st = sub_stats_reachable(res);
|
||
out << st.states << ',' << st.transitions
|
||
<< ',' << st.sub_transitions;
|
||
}
|
||
else
|
||
{
|
||
out << ",,";
|
||
}
|
||
out << ','
|
||
<< s.first << ',' << s.second << ','
|
||
<< te.utime() << ',' << te.stime() << ','
|
||
<< ts.utime() << ',' << ts.stime() << '\n';
|
||
}
|
||
static const char* show = getenv("SPOT_SATSHOW");
|
||
if (show && res)
|
||
dotty_reachable(std::cout, res);
|
||
|
||
trace << "dtba_sat_synthetize(...) = " << res << '\n';
|
||
return res;
|
||
}
|
||
|
||
tgba_digraph_ptr
|
||
dtba_sat_minimize(const const_tgba_digraph_ptr& a, bool state_based)
|
||
{
|
||
int n_states = stats_reachable(a).states;
|
||
|
||
tgba_digraph_ptr prev = nullptr;
|
||
for (;;)
|
||
{
|
||
auto next =
|
||
dtba_sat_synthetize(prev ? prev : a, --n_states, state_based);
|
||
if (!next)
|
||
return prev;
|
||
else
|
||
n_states = stats_reachable(next).states;
|
||
prev = next;
|
||
}
|
||
SPOT_UNREACHABLE();
|
||
}
|
||
|
||
tgba_digraph_ptr
|
||
dtba_sat_minimize_dichotomy(const const_tgba_digraph_ptr& a,
|
||
bool state_based)
|
||
{
|
||
int max_states = stats_reachable(a).states - 1;
|
||
int min_states = 1;
|
||
|
||
tgba_digraph_ptr prev = nullptr;
|
||
while (min_states <= max_states)
|
||
{
|
||
int target = (max_states + min_states) / 2;
|
||
auto next = dtba_sat_synthetize(prev ? prev : a, target, state_based);
|
||
if (!next)
|
||
{
|
||
min_states = target + 1;
|
||
}
|
||
else
|
||
{
|
||
prev = next;
|
||
max_states = stats_reachable(next).states - 1;
|
||
}
|
||
}
|
||
return prev;
|
||
}
|
||
}
|