/*++ Copyright (c) 2011 Microsoft Corporation Module Name: sat_model_converter.cpp Abstract: Low level model converter for SAT solver. Author: Leonardo de Moura (leonardo) 2011-05-26. Revision History: --*/ #include "sat/sat_model_converter.h" #include "sat/sat_clause.h" #include "util/trace.h" namespace sat { model_converter::model_converter() { } model_converter::~model_converter() { reset(); } void model_converter::reset() { m_entries.finalize(); } model_converter& model_converter::operator=(model_converter const& other) { copy(other); return *this; } void model_converter::process_stack(model & m, literal_vector const& c, elim_stackv const& stack) const { SASSERT(!stack.empty()); unsigned sz = stack.size(); for (unsigned i = sz; i-- > 0; ) { unsigned csz = stack[i].first; literal lit = stack[i].second; bool sat = false; for (unsigned j = 0; !sat && j < csz; ++j) { sat = value_at(c[j], m) == l_true; } if (!sat) { m[lit.var()] = lit.sign() ? l_false : l_true; } } } void model_converter::operator()(model & m) const { vector::const_iterator begin = m_entries.begin(); vector::const_iterator it = m_entries.end(); while (it != begin) { --it; SASSERT(it->get_kind() != ELIM_VAR || m[it->var()] == l_undef); // if it->get_kind() == BLOCK_LIT, then it might be the case that m[it->var()] != l_undef, // and the following procedure flips its value. bool sat = false; bool var_sign = false; unsigned index = 0; literal_vector clause; for (literal l : it->m_clauses) { if (l == null_literal) { // end of clause if (!sat) { m[it->var()] = var_sign ? l_false : l_true; } elim_stack* s = it->m_elim_stack[index]; if (s) { process_stack(m, clause, s->stack()); } sat = false; ++index; clause.reset(); continue; } clause.push_back(l); if (sat) continue; bool sign = l.sign(); bool_var v = l.var(); if (v == it->var()) var_sign = sign; if (value_at(l, m) == l_true) sat = true; else if (!sat && v != it->var() && m[v] == l_undef) { // clause can be satisfied by assigning v. m[v] = sign ? l_false : l_true; sat = true; } } DEBUG_CODE({ // all clauses must be satisfied bool sat = false; for (literal l : it->m_clauses) { if (l == null_literal) { SASSERT(sat); sat = false; continue; } if (sat) continue; if (value_at(l, m) == l_true) sat = true; } }); } } /** \brief Test if after applying the model converter, all eliminated clauses are satisfied by m. */ bool model_converter::check_model(model const & m) const { bool ok = true; vector::const_iterator begin = m_entries.begin(); vector::const_iterator it = m_entries.end(); while (it != begin) { --it; bool sat = false; literal_vector::const_iterator it2 = it->m_clauses.begin(); literal_vector::const_iterator itbegin = it2; literal_vector::const_iterator end2 = it->m_clauses.end(); for (; it2 != end2; ++it2) { literal l = *it2; if (l == null_literal) { // end of clause if (!sat) { TRACE("sat_model_bug", tout << "failed eliminated: " << mk_lits_pp(static_cast(it2 - itbegin), itbegin) << "\n";); ok = false; } sat = false; itbegin = it2; itbegin++; continue; } if (sat) continue; if (value_at(l, m) == l_true) sat = true; } } return ok; } model_converter::entry & model_converter::mk(kind k, bool_var v) { m_entries.push_back(entry(k, v)); entry & e = m_entries.back(); SASSERT(e.var() == v); SASSERT(e.get_kind() == k); return e; } void model_converter::insert(entry & e, clause const & c) { SASSERT(c.contains(e.var())); SASSERT(m_entries.begin() <= &e); SASSERT(&e < m_entries.end()); for (literal l : c) e.m_clauses.push_back(l); e.m_clauses.push_back(null_literal); e.m_elim_stack.push_back(nullptr); TRACE("sat_mc_bug", tout << "adding: " << c << "\n";); } void model_converter::insert(entry & e, literal l1, literal l2) { SASSERT(l1.var() == e.var() || l2.var() == e.var()); SASSERT(m_entries.begin() <= &e); SASSERT(&e < m_entries.end()); e.m_clauses.push_back(l1); e.m_clauses.push_back(l2); e.m_clauses.push_back(null_literal); e.m_elim_stack.push_back(nullptr); TRACE("sat_mc_bug", tout << "adding (binary): " << l1 << " " << l2 << "\n";); } void model_converter::insert(entry & e, clause_wrapper const & c) { SASSERT(c.contains(e.var())); SASSERT(m_entries.begin() <= &e); SASSERT(&e < m_entries.end()); unsigned sz = c.size(); for (unsigned i = 0; i < sz; ++i) e.m_clauses.push_back(c[i]); e.m_clauses.push_back(null_literal); e.m_elim_stack.push_back(nullptr); // TRACE("sat_mc_bug", tout << "adding (wrapper): "; for (literal l : c) tout << l << " "; tout << "\n";); } void model_converter::insert(entry & e, literal_vector const& c, elim_stackv const& elims) { SASSERT(c.contains(literal(e.var(), false)) || c.contains(literal(e.var(), true))); SASSERT(m_entries.begin() <= &e); SASSERT(&e < m_entries.end()); for (literal l : c) e.m_clauses.push_back(l); e.m_clauses.push_back(null_literal); e.m_elim_stack.push_back(elims.empty() ? nullptr : alloc(elim_stack, elims)); TRACE("sat_mc_bug", tout << "adding: " << c << "\n";); } bool model_converter::check_invariant(unsigned num_vars) const { // After a variable v occurs in an entry n and the entry has kind ELIM_VAR, // then the variable must not occur in any other entry occurring after it. vector::const_iterator it = m_entries.begin(); vector::const_iterator end = m_entries.end(); for (; it != end; ++it) { SASSERT(it->var() < num_vars); if (it->get_kind() == ELIM_VAR) { svector::const_iterator it2 = it; it2++; for (; it2 != end; ++it2) { SASSERT(it2->var() != it->var()); for (literal l : it2->m_clauses) { CTRACE("sat_model_converter", l.var() == it->var(), tout << "var: " << it->var() << "\n"; display(tout);); SASSERT(l.var() != it->var()); SASSERT(l == null_literal || l.var() < num_vars); } } } } return true; } void model_converter::display(std::ostream & out) const { out << "(sat::model-converter"; for (auto & entry : m_entries) { out << "\n (" << (entry.get_kind() == ELIM_VAR ? "elim" : "blocked") << " " << entry.var(); bool start = true; for (literal l : entry.m_clauses) { if (start) { out << "\n ("; start = false; } else { if (l != null_literal) out << " "; } if (l == null_literal) { out << ")"; start = true; continue; } out << l; } out << ")"; } out << ")\n"; } void model_converter::copy(model_converter const & src) { reset(); m_entries.append(src.m_entries); } void model_converter::collect_vars(bool_var_set & s) const { for (entry const & e : m_entries) s.insert(e.m_var); } unsigned model_converter::max_var(unsigned min) const { unsigned result = min; for (entry const& e : m_entries) { for (literal l : e.m_clauses) { if (l != null_literal) { if (l.var() > result) result = l.var(); } } } return result; } };