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https://github.com/Z3Prover/z3
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Dedup quot_rem and lshr too
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2953b1c093
commit
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4 changed files with 71 additions and 40 deletions
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@ -277,19 +277,71 @@ namespace polysat {
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return ult(a + shift, b + shift);
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}
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std::pair<pdd, pdd> constraint_manager::quot_rem(pdd const& a, pdd const& b) {
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auto& m = a.manager();
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unsigned sz = m.power_of_2();
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if (a.is_val() && b.is_val()) {
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// TODO: just evaluate?
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}
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constraint_dedup::quot_rem_args args({a, b});
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auto it = m_dedup.quot_rem_expr.find_iterator(args);
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if (it != m_dedup.quot_rem_expr.end())
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return { m.mk_var(it->m_value.first), m.mk_var(it->m_value.second) };
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pdd q = m.mk_var(s.add_var(sz)); // quotient
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pdd r = m.mk_var(s.add_var(sz)); // remainder
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m_dedup.quot_rem_expr.insert(args, { q.var(), r.var() });
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// Axioms for quotient/remainder:
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// a = b*q + r
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// multiplication does not overflow in b*q
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// addition does not overflow in (b*q) + r; for now expressed as: r <= bq+r (TODO: maybe the version with disjunction is easier for the solver; should compare later)
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// b ≠ 0 ==> r < b
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// b = 0 ==> q = -1
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s.add_eq(a, b * q + r);
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s.add_umul_noovfl(b, q);
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s.add_ule(r, b*q+r);
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auto c_eq = eq(b);
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s.add_clause(c_eq, ult(r, b), false);
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s.add_clause(~c_eq, eq(q + 1), false);
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return {q, r};
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}
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pdd constraint_manager::lshr(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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op_constraint_args const args(op_constraint::code::lshr_op, p, q);
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auto it = m_dedup.op_constraint_expr.find_iterator(args);
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if (it != m_dedup.op_constraint_expr.end())
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return m.mk_var(it->m_value);
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pdd r = m.mk_var(s.add_var(sz));
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m_dedup.op_constraint_expr.insert(args, r.var());
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s.assign_eh(lshr(p, q, r), null_dependency);
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return r;
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}
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pdd constraint_manager::bnot(pdd const& p) {
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return -p - 1;
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}
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pdd constraint_manager::band(pdd const& p, pdd const& q) {
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op_constraint_args const args(op_constraint::code::and_op, p, q);
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auto& m = p.manager();
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unsigned sz = m.power_of_2();
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op_constraint_args const args(op_constraint::code::and_op, p, q);
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auto it = m_dedup.op_constraint_expr.find_iterator(args);
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if (it != m_dedup.op_constraint_expr.end())
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return m.mk_var(it->m_value);
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unsigned sz = m.power_of_2();
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pdd r = m.mk_var(s.add_var(sz));
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m_dedup.op_constraint_expr.insert(args, r.var());
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s.assign_eh(band(p, q, r), null_dependency);
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return r;
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}
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