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https://github.com/Z3Prover/z3
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Merge branch 'polysat' of https://github.com/Z3Prover/z3 into polysat
This commit is contained in:
commit
47cb83f578
34 changed files with 1540 additions and 888 deletions
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@ -275,6 +275,7 @@ namespace polysat {
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return ult(a + shift, b + shift);
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}
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/** unsigned quotient/remainder */
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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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@ -282,6 +283,9 @@ namespace polysat {
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// By SMT-LIB specification, b = 0 ==> q = -1, r = a.
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return {m.mk_val(m.max_value()), a};
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}
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if (b.is_one()) {
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return {a, m.zero()};
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}
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if (a.is_val() && b.is_val()) {
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rational const av = a.val();
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rational const bv = b.val();
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@ -296,7 +300,14 @@ namespace polysat {
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SASSERT(r.val() < b.val());
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return {std::move(q), std::move(r)};
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}
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constraint_dedup::quot_rem_args args({ a, b });
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#if 0
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unsigned pow;
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if (b.is_val() && b.val().is_power_of_two(pow)) {
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// TODO: q = a >> b.val()
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// r = 0 \circ a[pow:] ???
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}
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#endif
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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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@ -311,17 +322,17 @@ namespace polysat {
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// addition does not overflow in (b*q) + r; for now expressed as: r <= bq+r
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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_clause(eq(b * q + r - a), false);
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s.add_clause(~umul_ovfl(b, q), false);
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// r <= b*q+r
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// { apply equivalence: p <= q <=> q-p <= -p-1 }
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// b*q <= -r-1
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s.add_ule(b*q, -r-1);
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s.add_clause(ule(b*q, -r-1), false);
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#if 0
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// b*q <= b*q+r
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// { apply equivalence: p <= q <=> q-p <= -p-1 }
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// r <= - b*q - 1
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s.add_ule(r, -b*q-1); // redundant, but may help propagation
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s.add_clause(ule(r, -b*q-1), false); // redundant, but may help propagation
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#endif
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auto c_eq = eq(b);
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