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https://github.com/Z3Prover/z3
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bug fixes to mod/div quantifier elimination features
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@ -92,3 +92,4 @@ CMakeSettings.json
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# Editor temp files
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*.swp
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.DS_Store
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dbg/**
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@ -871,6 +871,7 @@ namespace opt {
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unsigned model_based_opt::add_var(rational const& value, bool is_int) {
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unsigned v = m_var2value.size();
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verbose_stream() << "add var " << v << "\n";
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m_var2value.push_back(value);
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m_var2is_int.push_back(is_int);
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SASSERT(value.is_int() || !is_int);
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@ -1208,7 +1209,7 @@ namespace opt {
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// compute a_inv
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rational a_inv, m_inv;
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rational g = gcd(a, m, a_inv, m_inv);
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rational g = mod(gcd(a, m, a_inv, m_inv), m);
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if (a_inv.is_neg())
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a_inv = mod(a_inv, m);
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SASSERT(mod(a_inv * a, m) == g);
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@ -1252,7 +1253,7 @@ namespace opt {
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// add g*z + w - v - k*m = 0, for k = (g*z_value + w_value) div m
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rational km = div(g*z_value + w_value, m)*m;
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vector<var> mod_coeffs;
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mod_coeffs.push_back(var(z, g));
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if (g != 0) mod_coeffs.push_back(var(z, g));
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mod_coeffs.push_back(var(w, rational::one()));
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mod_coeffs.push_back(var(v, rational::minus_one()));
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add_constraint(mod_coeffs, km, t_eq);
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@ -1270,7 +1271,7 @@ namespace opt {
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result = (y_def * m) + z_def * a_inv;
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m_var2value[x] = eval(result);
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}
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TRACE("opt", display(tout << "solve_mod\n"));
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return result;
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}
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@ -1308,11 +1309,14 @@ namespace opt {
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replace_var(row_index, x, rational::zero());
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rational b_value = m_rows[row_index].m_value;
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TRACE("opt", display(tout << "solve_div\n"));
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// compute a_inv
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rational a_inv, m_inv;
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rational g = gcd(a, m, a_inv, m_inv);
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rational g = mod(gcd(a, m, a_inv, m_inv), m);
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if (a_inv.is_neg())
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a_inv = mod(a_inv, m);
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SASSERT(mod(a_inv * a, m) == g);
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// solve for x_value = m*y_value + a_inv*z_value, 0 <= z_value < m.
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@ -1366,7 +1370,7 @@ namespace opt {
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// add g*z + (b mod m) < (k + 1)*m
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vector<var> bound_coeffs;
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bound_coeffs.push_back(var(z, g));
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if (g != 0) bound_coeffs.push_back(var(z, g));
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bound_coeffs.push_back(var(u, rational::one()));
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add_constraint(bound_coeffs, 1 - m * (k + 1), t_le);
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@ -1387,6 +1391,7 @@ namespace opt {
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result = (y_def * m) + (z_def * a_inv);
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m_var2value[x] = eval(result);
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}
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TRACE("opt", display(tout << "solve_div\n"));
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return result;
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}
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@ -1505,13 +1510,13 @@ namespace opt {
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if (coeff.is_zero() || !r.m_alive)
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return;
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replace_var(row_id, x, rational::zero());
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r.m_vars.push_back(var(y, coeff*A));
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r.m_vars.push_back(var(z, coeff*B));
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if (A != 0) r.m_vars.push_back(var(y, coeff*A));
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if (B != 0) r.m_vars.push_back(var(z, coeff*B));
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r.m_value += coeff*A*m_var2value[y];
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r.m_value += coeff*B*m_var2value[z];
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std::sort(r.m_vars.begin(), r.m_vars.end(), var::compare());
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m_var2row_ids[y].push_back(row_id);
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m_var2row_ids[z].push_back(row_id);
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if (A != 0) m_var2row_ids[y].push_back(row_id);
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if (B != 0) m_var2row_ids[z].push_back(row_id);
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SASSERT(invariant(row_id, r));
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}
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