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https://github.com/Z3Prover/z3
synced 2025-04-22 00:26:38 +00:00
add first test for band
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
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8f8d88bc9d
commit
c1d5111159
6 changed files with 81 additions and 27 deletions
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@ -237,6 +237,10 @@ namespace polysat {
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return { dedup(alloc(op_constraint, *this, op_constraint::code::lshr_op, p, q, r)), true };
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}
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signed_constraint constraint_manager::band(pdd const& p, pdd const& q, pdd const& r) {
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return { dedup(alloc(op_constraint, *this, op_constraint::code::and_op, p, q, r)), true };
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}
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// To do signed comparison of bitvectors, flip the msb and do unsigned comparison:
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//
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// x <=s y <=> x + 2^(w-1) <=u y + 2^(w-1)
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@ -98,6 +98,7 @@ namespace polysat {
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signed_constraint mul_ovfl(pdd const& p, pdd const& q);
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signed_constraint bit(pdd const& p, unsigned i);
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signed_constraint lshr(pdd const& p, pdd const& q, pdd const& r);
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signed_constraint band(pdd const& p, pdd const& q, pdd const& r);
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constraint *const* begin() const { return m_constraints.data(); }
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constraint *const* end() const { return m_constraints.data() + m_constraints.size(); }
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@ -191,6 +191,9 @@ namespace polysat {
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rv.val() > rational::power_of_two(K - qv.val().get_unsigned() - 1))
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// q >= k -> r <= 2^{K-k-1}
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s.add_clause(~lshr, ~s.ule(qv.val(), q()), s.ule(r(), rational::power_of_two(K - qv.val().get_unsigned() - 1)), true);
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else if (qv.is_val() && qv.val() >= K && rv.is_val() && !rv.is_zero())
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// q >= K -> r = 0
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s.add_clause(~lshr, ~s.ule(K, q()), s.eq(r()), true);
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// q = k -> r[i - k] = p[i] for K - k <= i < K
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else if (pv.is_val() && rv.is_val() && qv.is_val() && !qv.is_zero()) {
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unsigned k = qv.val().get_unsigned();
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@ -232,6 +235,10 @@ namespace polysat {
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* p = 0 => r = 0
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* q = 0 => r = 0
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* p[i] && q[i] = r[i]
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*
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* Possible other:
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* p = max_value => q = r
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* q = max_value => p = r
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*/
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void op_constraint::narrow_and(solver& s) {
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auto pv = p().subst_val(s.assignment());
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@ -143,6 +143,14 @@ namespace polysat {
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return r;
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}
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pdd solver::band(pdd const& p, pdd const& q) {
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auto& m = p.manager();
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unsigned sz = m.power_of_2();
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pdd r = m.mk_var(add_var(sz));
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assign_eh(m_constraints.band(p, q, r), null_dependency);
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return r;
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}
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void solver::assign_eh(signed_constraint c, unsigned dep) {
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SASSERT(at_base_level());
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@ -782,43 +790,33 @@ namespace polysat {
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propagate();
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}
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void solver::add_clause(signed_constraint c1, signed_constraint c2, bool is_redundant) {
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void solver::add_clause(unsigned n, signed_constraint* cs, bool is_redundant) {
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clause_builder cb(*this);
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if (!c1.is_always_false())
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cb.push(c1);
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if (!c2.is_always_false())
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cb.push(c2);
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for (unsigned i = 0; i < n; ++i) {
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signed_constraint c = cs[i];
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if (c.is_always_false())
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continue;
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m_constraints.ensure_bvar(c.get());
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cb.push(c);
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}
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clause_ref clause = cb.build();
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clause->set_redundant(is_redundant);
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add_clause(*clause);
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}
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void solver::add_clause(signed_constraint c1, signed_constraint c2, bool is_redundant) {
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signed_constraint cs[2] = { c1, c2 };
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add_clause(2, cs, is_redundant);
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}
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void solver::add_clause(signed_constraint c1, signed_constraint c2, signed_constraint c3, bool is_redundant) {
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clause_builder cb(*this);
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if (!c1.is_always_false())
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cb.push(c1);
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if (!c2.is_always_false())
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cb.push(c2);
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if (!c3.is_always_false())
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cb.push(c3);
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clause_ref clause = cb.build();
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clause->set_redundant(is_redundant);
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add_clause(*clause);
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signed_constraint cs[3] = { c1, c2, c3 };
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add_clause(3, cs, is_redundant);
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}
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void solver::add_clause(signed_constraint c1, signed_constraint c2, signed_constraint c3, signed_constraint c4, bool is_redundant) {
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clause_builder cb(*this);
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if (!c1.is_always_false())
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cb.push(c1);
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if (!c2.is_always_false())
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cb.push(c2);
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if (!c3.is_always_false())
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cb.push(c3);
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if (!c4.is_always_false())
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cb.push(c4);
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clause_ref clause = cb.build();
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clause->set_redundant(is_redundant);
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add_clause(*clause);
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signed_constraint cs[4] = { c1, c2, c3, c4 };
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add_clause(4, cs, is_redundant);
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}
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void solver::insert_constraint(signed_constraints& cs, signed_constraint c) {
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@ -210,6 +210,7 @@ namespace polysat {
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void add_clause(signed_constraint c1, signed_constraint c2, bool is_redundant);
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void add_clause(signed_constraint c1, signed_constraint c2, signed_constraint c3, bool is_redundant);
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void add_clause(signed_constraint c1, signed_constraint c2, signed_constraint c3, signed_constraint c4, bool is_redundant);
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void add_clause(unsigned n, signed_constraint* cs, bool is_redundant);
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signed_constraint lit2cnstr(sat::literal lit) const { return m_constraints.lookup(lit); }
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@ -275,6 +276,11 @@ namespace polysat {
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*/
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pdd lshr(pdd const& p, pdd const& q);
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/**
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* Create expression for bit-wise and of p by q.
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*/
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pdd band(pdd const& p, pdd const& q);
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/**
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* Create polynomial constant.
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*/
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@ -979,6 +979,34 @@ namespace polysat {
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s.check();
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}
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static void test_band(unsigned bw = 32) {
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{
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scoped_solver s(__func__);
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auto p = s.var(s.add_var(bw));
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auto q = s.var(s.add_var(bw));
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s.add_ult(p, s.band(p, q));
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s.check();
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s.expect_unsat();
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}
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{
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scoped_solver s(__func__);
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auto p = s.var(s.add_var(bw));
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auto q = s.var(s.add_var(bw));
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s.add_ult(q, s.band(p, q));
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s.check();
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s.expect_unsat();
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}
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{
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scoped_solver s(__func__);
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auto p = s.var(s.add_var(bw));
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auto q = s.var(s.add_var(bw));
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s.add_ule(p, s.band(p, q));
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s.check();
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s.expect_sat();
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}
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}
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// Goal: we probably mix up polysat variables and PDD variables at several points; try to uncover such cases
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// NOTE: actually, add_var seems to keep them in sync, so this is not an issue at the moment (but we should still test it later)
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@ -1036,6 +1064,13 @@ namespace polysat {
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auto pb = to_pdd(m, s, expr2pdd, b);
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r = alloc(pdd, s.lshr(pa, pb));
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}
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else if (bv.is_bv_and(e) && to_app(e)->get_num_args() == 2) {
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a = to_app(e)->get_arg(0);
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b = to_app(e)->get_arg(1);
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auto pa = to_pdd(m, s, expr2pdd, a);
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auto pb = to_pdd(m, s, expr2pdd, b);
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r = alloc(pdd, s.lshr(pa, pb));
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}
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else if (bv.is_numeral(e, n, sz))
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r = alloc(pdd, s.value(n, sz));
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else if (is_uninterp(e))
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@ -1106,6 +1141,9 @@ namespace polysat {
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void tst_polysat() {
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polysat::test_band();
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return;
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polysat::test_quot_rem();
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return;
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