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Use checked division
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1 changed files with 12 additions and 10 deletions
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@ -785,22 +785,31 @@ namespace polysat {
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bool saturation::try_mul_eq_bound(pvar x, conflict& core, inequality const& axb_l_y) {
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set_rule("[x] 2^k*x = 2^k*y & x < 2^N-k => y = x or y >= 2^{N-k}");
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auto& m = s.var2pdd(x);
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unsigned N = m.power_of_2();
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unsigned const N = m.power_of_2();
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pdd y = m.zero();
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pdd a = y, b = y, a2 = y;
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pdd X = s.var(x);
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pdd const X = s.var(x);
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// Match ax + b <= y with eval(y) = 0
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if (!is_AxB_eq_0(x, axb_l_y, a, b, y))
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return false;
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if (!a.is_val())
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return false;
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if (!a.val().is_power_of_two())
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return false;
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unsigned k = a.val().trailing_zeros();
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unsigned const k = a.val().trailing_zeros();
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if (k == 0)
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return false;
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// x*2^k = b, x <= a2 < 2^{N-k}
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rational const bound = rational::power_of_two(N - k);
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b = -b;
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if (b.leading_coefficient() != a.val())
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return false;
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pdd Y = m.zero();
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if (!b.try_div(b.leading_coefficient(), Y))
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return false;
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rational Y_val;
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if (!s.try_eval(Y, Y_val) || Y_val >= bound)
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return false;
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for (auto c : core) {
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if (!c->is_ule())
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continue;
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@ -809,15 +818,9 @@ namespace polysat {
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continue;
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if (!a2.is_val())
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continue;
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// x*2^k = b, x <= a2 < 2^{N-k}
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rational bound = rational::power_of_two(N - k);
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if (i.is_strict() && a2.val() >= bound)
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continue;
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if (!i.is_strict() && a2.val() > bound)
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continue;
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pdd Y = b.div(b.leading_coefficient());
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rational Y_val;
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if (!s.try_eval(Y, Y_val) || Y_val >= bound)
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continue;
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signed_constraint le = s.ule(Y, bound - 1);
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m_lemma.reset();
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@ -827,7 +830,6 @@ namespace polysat {
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if (propagate(x, core, axb_l_y, s.eq(X, Y)))
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return true;
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}
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return false;
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}
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