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https://github.com/Z3Prover/z3
synced 2025-04-10 19:27:06 +00:00
indentation
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b9ddb11701
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@ -41,16 +41,19 @@ namespace arith {
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m_coeff = 0;
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}
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};
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ast_manager& m;
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arith_util a;
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arith_util a;
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vector<std::pair<rational, expr*>> m_todo;
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bool m_strict = false;
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row m_ineq;
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row m_conseq;
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vector<row> m_eqs;
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vector<row> m_ineqs;
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vector<row> m_diseqs;
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bool m_strict = false;
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row m_ineq;
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row m_conseq;
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vector<row> m_eqs;
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vector<row> m_ineqs;
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vector<row> m_diseqs;
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symbol m_farkas;
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symbol m_implied_eq;
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symbol m_bound;
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void add(row& r, expr* v, rational const& coeff) {
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rational coeff1;
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@ -147,6 +150,8 @@ namespace arith {
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m_todo.push_back({coeff*coeff1, e2});
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else if (a.is_mul(e, e1, e2) && a.is_uminus(e1, e3) && a.is_numeral(e3, coeff1))
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m_todo.push_back({-coeff*coeff1, e2});
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else if (a.is_mul(e, e1, e2) && a.is_uminus(e2, e3) && a.is_numeral(e3, coeff1))
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m_todo.push_back({ -coeff * coeff1, e1 });
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else if (a.is_mul(e, e1, e2) && a.is_numeral(e2, coeff1))
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m_todo.push_back({coeff*coeff1, e1});
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else if (a.is_add(e))
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@ -309,10 +314,14 @@ namespace arith {
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rows.push_back(row());
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return rows.back();
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}
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public:
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proof_checker(ast_manager& m): m(m), a(m) {}
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proof_checker(ast_manager& m):
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m(m),
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a(m),
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m_farkas("farkas"),
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m_implied_eq("implied-eq"),
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m_bound("bound") {}
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~proof_checker() override {}
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@ -328,7 +337,8 @@ namespace arith {
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bool add_ineq(rational const& coeff, expr* e, bool sign) {
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if (!m_diseqs.empty())
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return add_literal(fresh(m_ineqs), abs(coeff), e, sign);
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return add_literal(m_ineq, abs(coeff), e, sign);
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else
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return add_literal(m_ineq, abs(coeff), e, sign);
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}
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bool add_conseq(rational const& coeff, expr* e, bool sign) {
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@ -374,60 +384,66 @@ namespace arith {
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else
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pos.mark(e, true);
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if (jst->get_name() == symbol("farkas")) {
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bool even = true;
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rational coeff;
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expr* x, *y;
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for (expr* arg : *jst) {
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if (even) {
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if (!a.is_numeral(arg, coeff)) {
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IF_VERBOSE(0, verbose_stream() << "not numeral " << mk_pp(jst, m) << "\n");
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return false;
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}
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}
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else {
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bool sign = m.is_not(arg, arg);
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if (a.is_le(arg) || a.is_lt(arg) || a.is_ge(arg) || a.is_gt(arg))
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add_ineq(coeff, arg, sign);
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else if (m.is_eq(arg, x, y)) {
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if (sign)
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add_diseq(x, y);
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else
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add_eq(x, y);
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}
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else
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return false;
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if (sign && !pos.is_marked(arg)) {
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units.push_back(m.mk_not(arg));
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pos.mark(arg, false);
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}
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else if (!sign && !neg.is_marked(arg)) {
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units.push_back(arg);
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neg.mark(arg, false);
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}
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}
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even = !even;
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}
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if (check_farkas()) {
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return true;
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}
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IF_VERBOSE(0, verbose_stream() << "did not check farkas\n" << mk_pp(jst, m) << "\n"; display(verbose_stream()); );
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if (jst->get_name() != m_farkas &&
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jst->get_name() != m_bound &&
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jst->get_name() != m_implied_eq) {
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IF_VERBOSE(0, verbose_stream() << "unhandled inference " << mk_pp(jst, m) << "\n");
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return false;
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}
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bool is_bound = jst->get_name() == m_bound;
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bool even = true;
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rational coeff;
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expr* x, * y;
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unsigned j = 0;
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for (expr* arg : *jst) {
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if (even) {
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if (!a.is_numeral(arg, coeff)) {
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IF_VERBOSE(0, verbose_stream() << "not numeral " << mk_pp(jst, m) << "\n");
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return false;
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}
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}
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else {
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bool sign = m.is_not(arg, arg);
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if (a.is_le(arg) || a.is_lt(arg) || a.is_ge(arg) || a.is_gt(arg)) {
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if (is_bound && j + 1 == jst->get_num_args())
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add_conseq(coeff, arg, sign);
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else
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add_ineq(coeff, arg, sign);
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}
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else if (m.is_eq(arg, x, y)) {
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if (sign)
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add_diseq(x, y);
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else
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add_eq(x, y);
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}
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else {
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IF_VERBOSE(0, verbose_stream() << "not a recognized arithmetical relation " << mk_pp(arg, m) << "\n");
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return false;
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}
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// todo: rules for bounds and implied-by
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IF_VERBOSE(0, verbose_stream() << "did not check " << mk_pp(jst, m) << "\n");
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if (sign && !pos.is_marked(arg)) {
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units.push_back(m.mk_not(arg));
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pos.mark(arg, false);
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}
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else if (!sign && !neg.is_marked(arg)) {
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units.push_back(arg);
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neg.mark(arg, false);
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}
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}
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even = !even;
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++j;
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}
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if (check())
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return true;
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IF_VERBOSE(0, verbose_stream() << "did not check condition\n" << mk_pp(jst, m) << "\n"; display(verbose_stream()); );
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return false;
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}
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void register_plugins(euf::proof_checker& pc) override {
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pc.register_plugin(symbol("farkas"), this);
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pc.register_plugin(symbol("bound"), this);
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pc.register_plugin(symbol("implied-eq"), this);
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pc.register_plugin(m_farkas, this);
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pc.register_plugin(m_bound, this);
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pc.register_plugin(m_implied_eq, this);
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}
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};
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@ -308,7 +308,6 @@ namespace bv {
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euf::enode* n = bool_var2enode(l.var());
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if (!n->is_attached_to(get_id()))
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mk_var(n);
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set_bit_eh(v, l, idx);
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}
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@ -453,7 +452,9 @@ namespace bv {
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*
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* Alternative axiomatization:
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* e = sum bit2bool(i,n)*2^i + 2^n * (div(e, 2^n))
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* possibly term div(e,2^n) is not
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* possibly term div(e,2^n) is not correct with respect to adapted semantics?
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* if not, use fresh variable or similar. Overall should be much beter.
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* Note: based on superb question raised at workshop on 9/1/22.
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*/
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void solver::assert_int2bv_axiom(app* n) {
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expr* e = nullptr;
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@ -534,27 +535,27 @@ namespace bv {
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internalize_binary(a, bin);
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}
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void solver::internalize_interp(app* n, std::function<expr*(expr*, expr*)>& ibin, std::function<expr*(expr*)>& iun) {
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void solver::internalize_interp(app* n, std::function<expr* (expr*, expr*)>& ibin, std::function<expr* (expr*)>& iun) {
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bv_rewriter_params p(s().params());
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expr* arg1 = n->get_arg(0);
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expr* arg2 = n->get_arg(1);
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mk_bits(get_th_var(n));
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sat::literal eq_lit;
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sat::literal eq_lit;
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if (p.hi_div0()) {
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eq_lit = eq_internalize(n, ibin(arg1, arg2));
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add_unit(eq_lit);
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}
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else {
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unsigned sz = bv.get_bv_size(n);
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expr_ref zero(bv.mk_numeral(0, sz), m);
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sat::literal eqZ = eq_internalize(arg2, zero);
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sat::literal eqU = mk_literal(iun(arg1));
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sat::literal eqI = mk_literal(ibin(arg1, arg2));
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add_clause(~eqZ, eqU);
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add_clause(eqZ, eqI);
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ctx.add_aux(~eqZ, eqU);
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ctx.add_aux(eqZ, eqI);
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}
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add_unit(eq_lit);
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}
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else {
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unsigned sz = bv.get_bv_size(n);
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expr_ref zero(bv.mk_numeral(0, sz), m);
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sat::literal eqZ = eq_internalize(arg2, zero);
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sat::literal eqU = mk_literal(iun(arg1));
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sat::literal eqI = mk_literal(ibin(arg1, arg2));
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add_clause(~eqZ, eqU);
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add_clause(eqZ, eqI);
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ctx.add_aux(~eqZ, eqU);
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ctx.add_aux(eqZ, eqI);
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}
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}
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void solver::internalize_unary(app* n, std::function<void(unsigned, expr* const*, expr_ref_vector&)>& fn) {
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@ -574,11 +575,9 @@ namespace bv {
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init_bits(n, bits);
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}
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void solver::internalize_binary(app* e, std::function<void(unsigned, expr* const*, expr* const*, expr_ref_vector&)>& fn) {
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SASSERT(e->get_num_args() >= 1);
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expr_ref_vector bits(m), new_bits(m), arg_bits(m);
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expr_ref_vector bits(m), new_bits(m), arg_bits(m);
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get_arg_bits(e, 0, bits);
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for (unsigned i = 1; i < e->get_num_args(); ++i) {
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arg_bits.reset();
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@ -658,7 +657,7 @@ namespace bv {
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conc.push_back(arg);
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expr_ref r(bv.mk_concat(conc), m);
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mk_bits(get_th_var(e));
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sat::literal eq_lit = eq_internalize(e, r);
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sat::literal eq_lit = eq_internalize(e, r);
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add_unit(eq_lit);
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}
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@ -667,9 +666,8 @@ namespace bv {
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expr* arg = nullptr;
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VERIFY(bv.is_bit2bool(n, arg, idx));
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euf::enode* argn = expr2enode(arg);
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if (!argn->is_attached_to(get_id())) {
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mk_var(argn);
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}
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if (!argn->is_attached_to(get_id()))
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mk_var(argn);
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theory_var v_arg = argn->get_th_var(get_id());
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SASSERT(idx < get_bv_size(v_arg));
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sat::literal lit = expr2literal(n);
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@ -770,7 +768,7 @@ namespace bv {
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e1 = bv.mk_bit2bool(o1, i);
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e2 = bv.mk_bit2bool(o2, i);
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literal eq = eq_internalize(e1, e2);
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add_clause(eq, ~oeq);
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add_clause(eq, ~oeq);
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eqs.push_back(~eq);
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}
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TRACE("bv", for (auto l : eqs) tout << mk_bounded_pp(literal2expr(l), m) << " "; tout << "\n";);
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