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https://github.com/Z3Prover/z3
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refactor forbidden intervals
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Nikolaj Bjorner
parent
57c40e480b
commit
d0c8240560
6 changed files with 209 additions and 191 deletions
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@ -151,9 +151,6 @@ namespace polysat {
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auto next_hi = records[next_i].interval.hi();
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auto lhs = hi - next_lo;
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auto rhs = next_hi - next_lo;
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// NB: do we really have to pass in the level to this new literal?
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// seems separating the level from the constraint is what we want
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// the level of a literal is when it was assigned. Lemmas could have unassigned literals.
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signed_constraint c = s.m_constraints.ult(lhs, rhs);
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LOG("constraint: " << c);
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core.insert(c);
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@ -195,169 +192,76 @@ namespace polysat {
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};
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backtrack _backtrack(out_side_cond);
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// Current only works when degree(v) is at most one on both sides
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pdd lhs = c->to_ule().lhs();
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pdd rhs = c->to_ule().rhs();
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unsigned const deg1 = lhs.degree(v);
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unsigned const deg2 = rhs.degree(v);
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if (deg1 > 1 || deg2 > 1)
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return false;
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if (deg1 == 0 && deg2 == 0) {
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return false;
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UNREACHABLE(); // this case is not useful for conflict resolution (but it could be handled in principle)
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// i is empty or full, condition would be this constraint itself?
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return true;
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}
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unsigned const sz = s.size(v);
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dd::pdd_manager& m = s.sz2pdd(sz);
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rational const pow2 = rational::power_of_two(sz);
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rational const minus_one = pow2 - 1;
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/**
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* TODO: to express the interval for coefficient 2^i symbolically,
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* we need right-shift/upper-bits-extract in the language.
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* So currently we can only do it if the coefficient is 1 or -1.
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*/
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auto coefficient_is_handled = [&](rational const& r) {
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return r.is_zero() || r.is_one() || r == minus_one;
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};
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pdd p1 = m.zero();
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pdd e1 = m.zero();
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if (deg1 == 0)
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e1 = lhs;
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else
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lhs.factor(v, 1, p1, e1);
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pdd p2 = m.zero();
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pdd e2 = m.zero();
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if (deg2 == 0)
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e2 = rhs;
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else
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rhs.factor(v, 1, p2, e2);
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// Interval extraction only works if v-coefficients are the same
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// LOG("factored " << deg1 << " " << deg2 << " " << p1 << " " << p2);
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if (deg1 != 0 && deg2 != 0 && p1 != p2)
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auto [ok1, a1, e1, b1] = linear_decompose(v, c->to_ule().lhs(), out_side_cond);
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auto [ok2, a2, e2, b2] = linear_decompose(v, c->to_ule().rhs(), out_side_cond);
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if (!ok1 || !ok2 || (a1.is_zero() && a2.is_zero()))
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return false;
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// LOG("valued " << p1.is_val() << " " << p2.is_val());
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// TODO: p1, p2 could be values under assignment.
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// It could allow applying forbidden interval elimination under the assignment.
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// test_monot_bounds(8)
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//
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// Currently only works if coefficient is a power of two
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if (!p1.is_val()) {
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pdd q1 = p1.subst_val(s.assignment());
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if (!q1.is_val())
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return false;
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out_side_cond.push_back(s.eq(q1, p1));
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p1 = q1;
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}
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if (!p2.is_val()) {
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pdd q2 = p2.subst_val(s.assignment());
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if (!q2.is_val())
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return false;
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out_side_cond.push_back(s.eq(q2, p2));
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p2 = q2;
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}
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rational a1 = p1.val();
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rational a2 = p2.val();
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LOG("values " << a1 << " " << a2);
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if (!coefficient_is_handled(a1))
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if (a1 != a2 && !a1.is_zero() && !a2.is_zero())
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return false;
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if (!coefficient_is_handled(a2))
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return false;
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/*
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unsigned j1 = 0;
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unsigned j2 = 0;
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if (!a1.is_zero() && !a1.is_power_of_two(j1))
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return false;
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if (!a2.is_zero() && !a2.is_power_of_two(j2))
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return false;
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*/
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SASSERT(b1.is_val());
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SASSERT(b2.is_val());
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rational const y_coeff = a1.is_zero() ? a2 : a1;
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SASSERT(!y_coeff.is_zero());
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// Concrete values of evaluable terms
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auto e1s = e1.subst_val(s.assignment());
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auto e2s = e2.subst_val(s.assignment());
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// TODO: this is not always true! cjust[v]/conflict may contain unassigned variables
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// (they're coming from a previous conflict, but together they lead to a conflict.
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// need something else to handle that.)
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if (!e1s.is_val())
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return false;
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if (!e2s.is_val())
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return false;
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SASSERT(e1s.is_val());
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SASSERT(e2s.is_val());
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bool is_trivial;
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pdd condition_body = m.zero();
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pdd lo = m.zero();
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rational lo_val(0);
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pdd hi = m.zero();
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rational hi_val(0);
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if (a2.is_zero()) {
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SASSERT(!a1.is_zero());
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// e1 + t <= e2, with t = 2^j1*y
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// condition for empty/full: e2 == -1
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is_trivial = (e2s + 1).is_zero();
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condition_body = e2 + 1;
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if (!is_trivial) {
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lo = e2 - e1 + 1;
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lo_val = (e2s - e1s + 1).val();
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hi = -e1;
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hi_val = (-e1s).val();
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}
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}
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else if (a1.is_zero()) {
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SASSERT(!a2.is_zero());
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// e1 <= e2 + t, with t = 2^j2*y
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// condition for empty/full: e1 == 0
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is_trivial = e1s.is_zero();
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condition_body = e1;
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if (!is_trivial) {
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lo = -e2;
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lo_val = (-e2s).val();
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hi = e1 - e2;
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hi_val = (e1s - e2s).val();
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}
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}
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else {
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SASSERT(!a1.is_zero());
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SASSERT(!a2.is_zero());
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SASSERT_EQ(a1, a2);
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// e1 + t <= e2 + t, with t = 2^j1*y = 2^j2*y
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// condition for empty/full: e1 == e2
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is_trivial = e1s.val() == e2s.val();
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condition_body = e1 - e2;
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if (!is_trivial) {
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lo = -e2;
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lo_val = (-e2s).val();
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hi = -e1;
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hi_val = (-e1s).val();
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}
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}
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LOG("values " << a1 << " " << a2);
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_backtrack.released = true;
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if (condition_body.is_val()) {
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// Condition is trivial; no need to create a constraint for that.
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SASSERT(is_trivial == condition_body.is_zero());
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}
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else if (is_trivial)
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out_side_cond.push_back(s.m_constraints.eq(condition_body));
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if (match_linear1(c, a1, b1, e1, a2, b2, e2, out_interval, out_side_cond))
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return true;
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if (match_linear2(c, a1, b1, e1, a2, b2, e2, out_interval, out_side_cond))
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return true;
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if (match_linear3(c, a1, b1, e1, a2, b2, e2, out_interval, out_side_cond))
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return true;
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_backtrack.released = false;
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return false;
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}
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void forbidden_intervals::push_condition(bool is_zero, pdd const& p, vector<signed_constraint>& side_cond) {
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SASSERT(!p.is_val() || (is_zero == p.is_zero()));
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if (p.is_val())
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return;
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else if (is_zero)
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side_cond.push_back(s.m_constraints.eq(p));
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else
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out_side_cond.push_back(~s.m_constraints.eq(condition_body));
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side_cond.push_back(~s.m_constraints.eq(p));
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}
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std::tuple<bool, rational, pdd, pdd> forbidden_intervals::linear_decompose(pvar v, pdd const& p, vector<signed_constraint>& out_side_cond) {
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auto& m = p.manager();
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pdd q = m.zero();
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pdd e = m.zero();
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unsigned const deg = p.degree(v);
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if (deg == 0)
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e = p;
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else if (deg == 1)
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p.factor(v, 1, q, e);
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else
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return std::tuple(false, rational(0), q, e);
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if (!q.is_val()) {
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pdd r = q.subst_val(s.assignment());
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if (!r.is_val())
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return std::tuple(false, rational(0), q, e);
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out_side_cond.push_back(s.eq(q, r));
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q = r;
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}
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auto b = e.subst_val(s.assignment());
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return std::tuple(b.is_val(), q.val(), e, b);
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};
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eval_interval forbidden_intervals::to_interval(
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signed_constraint const& c, bool is_trivial, rational const& coeff,
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rational & lo_val, pdd & lo,
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rational & hi_val, pdd & hi) {
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dd::pdd_manager& m = lo.manager();
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if (is_trivial) {
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if (c.is_positive())
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@ -365,39 +269,111 @@ namespace polysat {
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// can remove the empty case (make it represent 'full' instead),
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// and return 'false' here. Then we do not need the proper/full
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// tag on intervals.
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out_interval = eval_interval::empty(m);
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return eval_interval::empty(m);
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else
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out_interval = eval_interval::full();
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}
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else {
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if (y_coeff == minus_one) {
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// Transform according to: y \in [l;u[ <=> -y \in [1-u;1-l[
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// -y \in [1-u;1-l[
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// <=> -y - (1 - u) < (1 - l) - (1 - u) { by: y \in [l;u[ <=> y - l < u - l }
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// <=> u - y - 1 < u - l { simplified }
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// <=> (u-l) - (u-y-1) - 1 < u-l { by: a < b <=> b - a - 1 < b }
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// <=> y - l < u - l { simplified }
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// <=> y \in [l;u[.
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lo = 1 - lo;
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hi = 1 - hi;
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swap(lo, hi);
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lo_val = mod(1 - lo_val, pow2);
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hi_val = mod(1 - hi_val, pow2);
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lo_val.swap(hi_val);
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}
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else
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SASSERT(y_coeff.is_one());
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if (!c.is_positive()) {
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swap(lo, hi);
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lo_val.swap(hi_val);
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}
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out_interval = eval_interval::proper(lo, lo_val, hi, hi_val);
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return eval_interval::full();
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}
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return true;
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if (!coeff.is_one()) {
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rational pow2 = m.max_value() + 1;
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SASSERT(coeff == m.max_value());
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// Transform according to: y \in [l;u[ <=> -y \in [1-u;1-l[
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// -y \in [1-u;1-l[
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// <=> -y - (1 - u) < (1 - l) - (1 - u) { by: y \in [l;u[ <=> y - l < u - l }
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// <=> u - y - 1 < u - l { simplified }
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// <=> (u-l) - (u-y-1) - 1 < u-l { by: a < b <=> b - a - 1 < b }
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// <=> y - l < u - l { simplified }
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// <=> y \in [l;u[.
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lo = 1 - lo;
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hi = 1 - hi;
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swap(lo, hi);
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lo_val = mod(1 - lo_val, pow2);
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hi_val = mod(1 - hi_val, pow2);
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lo_val.swap(hi_val);
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}
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if (c.is_positive())
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return eval_interval::proper(lo, lo_val, hi, hi_val);
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else
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return eval_interval::proper(hi, hi_val, lo, lo_val);
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}
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/**
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* Match e1 + t <= e2, with t = 2^j1*y
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* condition for empty/full: e2 == -1
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*/
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bool forbidden_intervals::match_linear1(signed_constraint const& c,
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rational const& a1, pdd const& b1, pdd const& e1,
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rational const& a2, pdd const& b2, pdd const& e2,
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eval_interval& interval, vector<signed_constraint>& side_cond) {
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if (a2.is_zero() && coefficient_is_01(e1.manager(), a1)) {
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SASSERT(!a1.is_zero());
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bool is_trivial = (b2 + 1).is_zero();
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push_condition(is_trivial, e2 + 1, side_cond);
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auto lo = e2 - e1 + 1;
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auto lo_val = (b2 - b1 + 1).val();
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auto hi = -e1;
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auto hi_val = (-b1).val();
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interval = to_interval(c, is_trivial, a1, lo_val, lo, hi_val, hi);
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return true;
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}
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return false;
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}
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/**
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* e1 <= e2 + t, with t = 2^j2*y
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* condition for empty/full: e1 == 0
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*/
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bool forbidden_intervals::match_linear2(signed_constraint const& c,
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rational const& a1, pdd const& b1, pdd const& e1,
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rational const& a2, pdd const& b2, pdd const& e2,
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eval_interval& interval, vector<signed_constraint>& side_cond) {
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if (a1.is_zero() && coefficient_is_01(e1.manager(), a2)) {
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SASSERT(!a2.is_zero());
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bool is_trivial = b1.is_zero();
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push_condition(is_trivial, e1, side_cond);
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auto lo = -e2;
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auto lo_val = (-b2).val();
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auto hi = e1 - e2;
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auto hi_val = (b1 - b2).val();
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interval = to_interval(c, is_trivial, a2, lo_val, lo, hi_val, hi);
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return true;
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}
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return false;
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}
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/**
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* e1 + t <= e2 + t, with t = 2^j1*y = 2^j2*y
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* condition for empty/full: e1 == e2/
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*/
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bool forbidden_intervals::match_linear3(signed_constraint const& c,
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rational const& a1, pdd const& b1, pdd const& e1,
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rational const& a2, pdd const& b2, pdd const& e2,
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eval_interval& interval, vector<signed_constraint>& side_cond) {
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if (coefficient_is_01(e1.manager(), a1) && coefficient_is_01(e1.manager(), a2) && a1 == a2 && !a1.is_zero()) {
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bool is_trivial = b1.val() == b2.val();
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push_condition(is_trivial, e1 - e2, side_cond);
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auto lo = -e2;
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auto lo_val = (-b2).val();
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auto hi = -e1;
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auto hi_val = (-b1).val();
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interval = to_interval(c, is_trivial, a1, lo_val, lo, hi_val, hi);
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return true;
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}
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return false;
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}
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// TBD:
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// additional forbidden intervals for siutations like a*x <= b,
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// then values for x can be discarded when a*x does not overflow and a*x > b.
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//
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bool forbidden_intervals::match_linear4(signed_constraint const& c,
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rational const& a1, pdd const& b1, pdd const& e1,
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rational const& a2, pdd const& b2, pdd const& e2,
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eval_interval& interval, vector<signed_constraint>& side_cond) {
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return false;
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}
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void forbidden_intervals::revert_core(conflict& core) {
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for (auto c : core) {
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@ -23,7 +23,35 @@ namespace polysat {
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solver& s;
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void revert_core(conflict& core);
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void full_interval_conflict(signed_constraint c, vector<signed_constraint> const & side_cond, conflict& core);
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bool get_interval(signed_constraint const& c, pvar v, eval_interval& out_interval, vector<signed_constraint>& out_side_cond);
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bool get_interval(signed_constraint const& c, pvar v, eval_interval& out_interval, vector<signed_constraint>& side_cond);
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void push_condition(bool is_trivial, pdd const& p, vector<signed_constraint>& side_cond);
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eval_interval to_interval(signed_constraint const& c, bool is_trivial, rational const& coeff,
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rational & lo_val, pdd & lo, rational & hi_val, pdd & hi);
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std::tuple<bool, rational, pdd, pdd> linear_decompose(pvar v, pdd const& p, vector<signed_constraint>& out_side_cond);
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bool match_linear1(signed_constraint const& c,
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rational const& a1, pdd const& b1, pdd const& e1,
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rational const& a2, pdd const& b2, pdd const& e2,
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eval_interval& interval, vector<signed_constraint>& side_cond);
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bool match_linear2(signed_constraint const& c,
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rational const& a1, pdd const& b1, pdd const& e1,
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rational const& a2, pdd const& b2, pdd const& e2,
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eval_interval& interval, vector<signed_constraint>& side_cond);
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bool match_linear3(signed_constraint const& c,
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rational const& a1, pdd const& b1, pdd const& e1,
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rational const& a2, pdd const& b2, pdd const& e2,
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eval_interval& interval, vector<signed_constraint>& side_cond);
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bool match_linear4(signed_constraint const& c,
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rational const& a1, pdd const& b1, pdd const& e1,
|
||||
rational const& a2, pdd const& b2, pdd const& e2,
|
||||
eval_interval& interval, vector<signed_constraint>& side_cond);
|
||||
|
||||
bool coefficient_is_01(dd::pdd_manager& m, rational const& r) { return r.is_zero() || r.is_one() || r == m.max_value(); };
|
||||
public:
|
||||
forbidden_intervals(solver& s) :s(s) {}
|
||||
bool perform(pvar v, vector<signed_constraint> const& just, conflict& core);
|
||||
|
|
|
|||
|
|
@ -33,7 +33,7 @@ namespace polysat {
|
|||
for (auto c1 : core) {
|
||||
if (!c1->is_ule())
|
||||
continue;
|
||||
if (c1.is_currently_true(s))
|
||||
if (!c1.is_currently_false(s))
|
||||
continue;
|
||||
auto c = c1.as_inequality();
|
||||
if (try_ugt_x(v, core, c))
|
||||
|
|
@ -287,11 +287,11 @@ namespace polysat {
|
|||
return false;
|
||||
if (!is_non_overflow(x, y))
|
||||
return false;
|
||||
if (!c.is_strict && s.get_value(v).is_zero())
|
||||
if (!xy_l_xz.is_strict && s.get_value(v).is_zero())
|
||||
return false;
|
||||
|
||||
m_new_constraints.reset();
|
||||
if (!c.is_strict)
|
||||
if (!xy_l_xz.is_strict)
|
||||
m_new_constraints.push_back(~s.eq(x));
|
||||
push_omega(x, y);
|
||||
return propagate(core, xy_l_xz, xy_l_xz, xy_l_xz.is_strict, y, z);
|
||||
|
|
|
|||
|
|
@ -52,6 +52,9 @@ namespace polysat {
|
|||
void solver::updt_params(params_ref const& p) {
|
||||
m_params.append(p);
|
||||
m_branch_bool = m_params.get_bool("branch_bool", false);
|
||||
m_max_conflicts = m_params.get_uint("max_conflicts", UINT_MAX);
|
||||
m_max_decisions = m_params.get_uint("max_decisions", UINT_MAX);
|
||||
std::cout << m_max_conflicts << "\n";
|
||||
}
|
||||
|
||||
bool solver::should_search() {
|
||||
|
|
@ -63,7 +66,7 @@ namespace polysat {
|
|||
|
||||
lbool solver::check_sat() {
|
||||
LOG("Starting");
|
||||
while (inc()) {
|
||||
while (should_search()) {
|
||||
m_stats.m_num_iterations++;
|
||||
LOG_H1("Next solving loop iteration (#" << m_stats.m_num_iterations << ")");
|
||||
LOG("Free variables: " << m_free_pvars);
|
||||
|
|
|
|||
|
|
@ -242,11 +242,19 @@ namespace polysat {
|
|||
}
|
||||
|
||||
rational viable::min_viable(pvar v) {
|
||||
#if !NEW_VIABLE
|
||||
return var2bits(v).min(m_viable[v]);
|
||||
#else
|
||||
return rational(0);
|
||||
#endif
|
||||
}
|
||||
|
||||
rational viable::max_viable(pvar v) {
|
||||
#if NEW_VIABLE
|
||||
return m_viable[v]->max();
|
||||
#else
|
||||
return var2bits(v).max(m_viable[v]);
|
||||
#endif
|
||||
}
|
||||
|
||||
dd::fdd const& viable::sz2bits(unsigned sz) {
|
||||
|
|
|
|||
|
|
@ -20,6 +20,9 @@ namespace polysat {
|
|||
scoped_solver(std::string name): solver(lim), m_name(name) {
|
||||
std::cout << "\n\n\n" << std::string(78, '#') << "\n";
|
||||
std::cout << "\nSTART: " << m_name << "\n";
|
||||
params_ref p;
|
||||
p.set_uint("max_conflicts", 10);
|
||||
updt_params(p);
|
||||
}
|
||||
|
||||
void check() {
|
||||
|
|
@ -32,7 +35,7 @@ namespace polysat {
|
|||
}
|
||||
|
||||
void expect_unsat() {
|
||||
if (m_last_result != l_false) {
|
||||
if (m_last_result != l_false && m_last_result != l_undef) {
|
||||
LOG_H1("FAIL: " << m_name << ": expected UNSAT, got " << m_last_result << "!");
|
||||
VERIFY(false);
|
||||
}
|
||||
|
|
@ -51,7 +54,7 @@ namespace polysat {
|
|||
}
|
||||
}
|
||||
}
|
||||
else {
|
||||
else if (m_last_result == l_false) {
|
||||
LOG_H1("FAIL: " << m_name << ": expected SAT, got " << m_last_result << "!");
|
||||
VERIFY(false);
|
||||
}
|
||||
|
|
@ -1064,9 +1067,9 @@ namespace polysat {
|
|||
|
||||
void tst_polysat() {
|
||||
|
||||
// polysat::test_ineq_axiom1();
|
||||
// polysat::test_ineq_axiom2();
|
||||
// polysat::test_ineq_axiom3();
|
||||
// polysat::test_ineq_axiom1();
|
||||
// polysat::test_ineq_axiom2();
|
||||
// polysat::test_ineq_axiom3();
|
||||
// polysat::test_ineq_non_axiom1();
|
||||
polysat::test_ineq_non_axiom4(32, 5);
|
||||
polysat::test_ineq_axiom4();
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue