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https://github.com/Z3Prover/z3
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fi disequal: add special treatment for v > -a*v
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2 changed files with 48 additions and 3 deletions
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@ -327,10 +327,31 @@ namespace polysat {
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};
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if (lhs > rhs || (e->src.is_negative() && lhs == rhs)) {
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rational lo = val - delta_l(val);
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rational hi = val + delta_u(val) + 1;
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rational lo;
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rational hi;
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// TODO: extract into separate function
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if (e->src.is_negative() && a2.is_one() && b1.is_zero() && b2.is_zero()) {
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// special case: v > -a*v for some numeral a
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rational const& a = mod(-a1, mod_value);
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if (val.is_zero()) {
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lo = 0;
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hi = ceil( (mod_value + 1) / (a + 1) );
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} else {
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rational const y = mod(-a * val, mod_value);
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lo = ceil( val + (y - max_value) / a );
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hi = ceil( (y + a*val + 1) / (a + 1) );
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// can always extend to 0
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if (lo.is_one())
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lo = 0;
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}
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} else {
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// general case
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lo = val - delta_l(val);
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hi = val + delta_u(val) + 1;
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// TODO: increase interval
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}
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// TODO: increase interval
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LOG("refine-disequal-lin: " << " [" << lo << ", " << hi << "[");
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SASSERT(0 <= lo && lo <= val);
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@ -1097,6 +1097,29 @@ public:
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s.check();
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}
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static void test_fi_disequal_mild() {
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{
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// small version
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scoped_solver s(__func__);
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auto a = s.var(s.add_var(6));
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auto b = s.var(s.add_var(6));
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// v > -3*v
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s.add_eq(a - 3);
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s.add_ult(-a*b, b);
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s.check();
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}
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{
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// large version
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scoped_solver s(__func__);
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auto a = s.var(s.add_var(256));
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auto b = s.var(s.add_var(256));
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// v > -100*v
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s.add_eq(a - 100);
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s.add_ult(-a*b, b);
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s.check();
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}
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}
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// Goal: we probably mix up polysat variables and PDD variables at several points; try to uncover such cases
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// NOTE: actually, add_var seems to keep them in sync, so this is not an issue at the moment (but we should still test it later)
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// static void test_mixed_vars() {
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@ -1352,6 +1375,7 @@ void tst_polysat() {
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test_polysat::test_fi_zero();
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test_polysat::test_fi_nonzero();
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test_polysat::test_fi_nonmax();
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test_polysat::test_fi_disequal_mild();
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return;
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test_polysat::test_l2();
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