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https://github.com/Z3Prover/z3
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fix bugs in patching
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
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e7bb8e57cb
commit
c355ee025a
3 changed files with 40 additions and 58 deletions
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@ -1215,7 +1215,7 @@ bool core::var_breaks_correct_monic_as_factor(lpvar j, const monic& m) const {
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if (!val(var(m)).is_zero())
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return true;
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if (!val(j).is_zero()) // j was not zero: the new value does not matter - m must have another zero product
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if (!val(j).is_zero()) // j was not zero: the new value does not matter - m must have another zero factor
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return false;
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// do we have another zero in m?
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for (lpvar k : m) {
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@ -1287,29 +1287,38 @@ bool core::has_real(const monic& m) const {
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return true;
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return false;
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}
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// returns true if the patching is blocking
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bool core::patch_is_blocked(lpvar u, const monic& m, const lp::impq& ival) const {
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SASSERT(m_to_refine.contains(m.var()));
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if (m_cautious_patching && !m_lar_solver.inside_bounds(u, ival))
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bool core::patch_is_blocked(lpvar u, const monic& patched_m, const lp::impq& ival) const {
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if (m_cautious_patching &&
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(!m_lar_solver.inside_bounds(u, ival) || (var_is_int(u) && ival.is_int() == false))) {
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TRACE("nla_solver", tout << "u = " << u << " blocked, for feas or integr\n";);
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return true; // blocking
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}
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if (var_breaks_correct_monic(u)) {
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TRACE("nla_solver", tout << "u = " << u << " blocked as used in a correct monomial\n";);
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return true;
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}
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bool ret = u == m.var() || (m.contains_var(u) && var_breaks_correct_monic_as_factor(u, m));
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bool ret = u == patched_m.var() || (patched_m.contains_var(u) && var_breaks_correct_monic_as_factor(u, patched_m));
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TRACE("nla_solver", tout << "u = " << u << ", m = "; print_monic(m, tout) <<
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TRACE("nla_solver", tout << "u = " << u << ", patched_m = "; print_monic(patched_m, tout) <<
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"ret = " << ret << "\n";);
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return ret;
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}
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bool core::try_to_patch(lpvar k, const rational& v, const monic & m) {
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auto is_blocked = [this, k, m](lpvar u, const lp::impq& v)
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{ return u != k && patch_is_blocked(u, m, v); };
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bool core::try_to_patch(lpvar patched_var, const rational& v, const monic & m) {
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auto is_blocked = [this, patched_var, m](lpvar u, const lp::impq& iv)
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{
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if (!m_lar_solver.inside_bounds(u, iv))
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return true;
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if (u == patched_var)
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return false;
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return patch_is_blocked(u, m, iv);
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};
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auto change_report = [this](lpvar u) { update_to_refine_of_var(u); };
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return m_lar_solver.try_to_patch(k, v, is_blocked, change_report);
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return m_lar_solver.try_to_patch(patched_var, v, is_blocked, change_report);
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}
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bool in_power(const svector<lpvar>& vs, unsigned l) {
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@ -1348,31 +1357,36 @@ void core::patch_monomial(lpvar j) {
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return;
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}
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// Now we try patching the factor variables.
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TRACE("nla_solver", tout << " trying squares\n";);
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// handle perfect squares
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if (m.vars().size() == 2 && m.vars()[0] == m.vars()[1]) {
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rational root;
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if (v.is_perfect_square(root)) {
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lpvar k = m.vars()[0];
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if (!var_is_int(k) &&
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!var_breaks_correct_monic(k) &&
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(try_to_patch(k, root, m) || try_to_patch(k, -root, m))
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) {
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if (!var_breaks_correct_monic(k) && (try_to_patch(k, root, m) || try_to_patch(k, -root, m))) {
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TRACE("nla_solver", tout << "patched square\n";);
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return;
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}
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}
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TRACE("nla_solver", tout << " cannot patch\n";);
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return;
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}
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// We have v != abc. Let us suppose we patch b. Then b should
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// be equal to v/ac = v/(abc/b) = b(v/abc)
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// We have v != abc, but we need to have v = abc.
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// If we patch b then b should be equal to v/ac = v/(abc/b) = b(v/abc)
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if (!v.is_zero()) {
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rational r = val(j) / v;
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SASSERT(m.is_sorted());
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TRACE("nla_solver", tout << "r = " << r << ", v = " << v << "\n";);
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for (unsigned l = 0; l < m.size(); l++) {
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lpvar k = m.vars()[l];
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if (!in_power(m.vars(), l) &&
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!var_is_int(k) &&
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!var_breaks_correct_monic(k) &&
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try_to_patch(k, r * val(k), m)) { // r * val(k) gives the right value of k
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TRACE("nla_solver", tout << "patched j " << j << "\n";);
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SASSERT(mul_val(m) == var_val(m));
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erase_from_to_refine(j);
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break;
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@ -1385,13 +1399,15 @@ void core::patch_monomials_on_to_refine() {
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auto to_refine = m_to_refine.index();
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// the rest of the function might change m_to_refine, so have to copy
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unsigned sz = to_refine.size();
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TRACE("nla_solver", tout << "sz = " << sz << "\n";);
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unsigned start = random();
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for (unsigned i = 0; i < sz; i++) {
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patch_monomial(to_refine[(start + i) % sz]);
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if (m_to_refine.size() == 0)
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break;
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}
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TRACE("nla_solver", tout << "sz = " << sz << ", m_to_refine = " << m_to_refine.size() <<
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(sz > m_to_refine.size()? " less" : "same" ) << "\n";);
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}
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void core::patch_monomials() {
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@ -1400,7 +1416,8 @@ void core::patch_monomials() {
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if (m_to_refine.size() == 0 || !m_nla_settings.expensive_patching()) {
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return;
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}
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m_cautious_patching = false; //
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NOT_IMPLEMENTED_YET();
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m_cautious_patching = false;
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patch_monomials_on_to_refine();
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m_lar_solver.push();
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save_tableau();
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