3
0
Fork 0
mirror of https://github.com/Z3Prover/z3 synced 2025-04-22 16:45:31 +00:00

fix internalization for quot/rem

This commit is contained in:
Nikolaj Bjorner 2023-12-10 22:21:14 -08:00
parent 21121f14a5
commit 83c71b4943
6 changed files with 69 additions and 34 deletions

View file

@ -104,8 +104,8 @@ namespace euf {
}
void bv_plugin::merge_eh(enode* x, enode* y) {
SASSERT(x == x->get_root());
SASSERT(x == y->get_root());
if (!bv.is_bv(x->get_expr()))
return;
TRACE("bv", tout << "merge_eh " << g.bpp(x) << " == " << g.bpp(y) << "\n");
SASSERT(!m_internal);

View file

@ -36,6 +36,7 @@ namespace intblast {
continue;
if (any_of(*clause, [&](auto lit) { return s.value(lit) == l_true && !is_bv(lit); }))
continue;
// TBD: if we associate "status" with clauses, we can also remove theory axioms from polysat
sat::literal selected_lit = sat::null_literal;
for (auto lit : *clause) {
if (s.value(lit) != l_true)
@ -269,27 +270,34 @@ namespace intblast {
m_trail.push_back(a.mk_mul(args));
break;
case OP_ULEQ:
bv_expr = ap->get_arg(0);
m_trail.push_back(a.mk_le(mk_mod(args.get(0)), mk_mod(args.get(1))));
break;
case OP_UGEQ:
bv_expr = ap->get_arg(0);
m_trail.push_back(a.mk_ge(mk_mod(args.get(0)), mk_mod(args.get(1))));
break;
case OP_ULT:
bv_expr = ap->get_arg(0);
m_trail.push_back(a.mk_lt(mk_mod(args.get(0)), mk_mod(args.get(1))));
break;
case OP_UGT:
bv_expr = ap->get_arg(0);
m_trail.push_back(a.mk_gt(mk_mod(args.get(0)), mk_mod(args.get(1))));
break;
case OP_SLEQ:
bv_expr = ap->get_arg(0);
m_trail.push_back(a.mk_le(mk_smod(args.get(0)), mk_smod(args.get(1))));
break;
case OP_SGEQ:
m_trail.push_back(a.mk_ge(mk_smod(args.get(0)), mk_smod(args.get(1))));
break;
case OP_SLT:
bv_expr = ap->get_arg(0);
m_trail.push_back(a.mk_lt(mk_smod(args.get(0)), mk_smod(args.get(1))));
break;
case OP_SGT:
bv_expr = ap->get_arg(0);
m_trail.push_back(a.mk_gt(mk_smod(args.get(0)), mk_smod(args.get(1))));
break;
case OP_BNEG:
@ -342,6 +350,12 @@ namespace intblast {
m_trail.push_back(m.mk_ite(m.mk_eq(y, a.mk_int(0)), a.mk_int(0), a.mk_idiv(x, y)));
break;
}
case OP_BUMUL_NO_OVFL: {
expr* x = args.get(0), * y = args.get(1);
bv_expr = ap->get_arg(0);
m_trail.push_back(a.mk_lt(a.mk_mul(mk_mod(x), mk_mod(y)), a.mk_int(bv_size())));
break;
}
case OP_BNOT:
case OP_BNAND:
case OP_BNOR:

View file

@ -108,6 +108,7 @@ namespace polysat {
m_watch.push_back({});
m_var_queue.mk_var_eh(v);
m_viable.ensure_var(v);
m_values.push_back(rational::zero());
s.trail().push(mk_add_var(*this));
return v;
}
@ -118,6 +119,7 @@ namespace polysat {
m_activity.pop_back();
m_justification.pop_back();
m_watch.pop_back();
m_values.pop_back();
m_var_queue.del_var_eh(v);
}

View file

@ -67,13 +67,17 @@ namespace polysat {
};
viable::entry* viable::alloc_entry(pvar var, unsigned constraint_index) {
entry* e = nullptr;
if (m_alloc.empty())
return alloc(entry);
auto* e = m_alloc.back();
e = alloc(entry);
else {
e = m_alloc.back();
m_alloc.pop_back();
}
e->reset();
e->var = var;
e->constraint_index = constraint_index;
m_alloc.pop_back();
return e;
}

View file

@ -192,32 +192,54 @@ namespace polysat {
void solver::internalize_udiv_i(app* e) {
expr* x, *y;
VERIFY(bv.is_bv_udivi(e, x, y) || bv.is_bv_udiv(e, x, y));
app_ref rm(bv.mk_bv_urem_i(x, y), m);
expr_ref rm(m);
if (bv.is_bv_udivi(e, x, y))
rm = bv.mk_bv_urem_i(x, y);
else if (bv.is_bv_udiv(e, x, y))
rm = bv.mk_bv_urem(x, y);
else
UNREACHABLE();
internalize(rm);
}
void solver::internalize_urem_i(app* e) {
void solver::internalize_urem_i(app* rem) {
expr* x, *y;
if (expr2enode(e))
euf::enode* n = expr2enode(rem);
SASSERT(n && n->is_attached_to(get_id()));
theory_var v = n->get_th_var(get_id());
if (m_var2pdd_valid.get(v, false))
return;
VERIFY(bv.is_bv_uremi(e, x, y) || bv.is_bv_urem(e, x, y));
auto [quot, rem] = quot_rem(x, y);
internalize_set(e, rem);
internalize_set(bv.mk_bv_udiv_i(x, y), quot);
expr_ref quot(m);
if (bv.is_bv_uremi(rem, x, y))
quot = bv.mk_bv_udiv_i(x, y);
else if (bv.is_bv_urem(rem, x, y))
quot = bv.mk_bv_udiv(x, y);
else
UNREACHABLE();
m_var2pdd_valid.setx(v, true, false);
ctx.internalize(quot);
m_var2pdd_valid.setx(v, false, false);
quot_rem(quot, rem, x, y);
}
std::pair<pdd, pdd> solver::quot_rem(expr* x, expr* y) {
void solver::quot_rem(expr* quot, expr* rem, expr* x, expr* y) {
pdd a = expr2pdd(x);
pdd b = expr2pdd(y);
euf::enode* qn = expr2enode(quot);
euf::enode* rn = expr2enode(rem);
auto& m = a.manager();
unsigned sz = m.power_of_2();
if (b.is_zero())
if (b.is_zero()) {
// By SMT-LIB specification, b = 0 ==> q = -1, r = a.
return { m.mk_val(m.max_value()), a };
if (b.is_one())
return { a, m.zero() };
internalize_set(quot, m.mk_val(m.max_value()));
internalize_set(rem, a);
return;
}
if (b.is_one()) {
internalize_set(quot, a);
internalize_set(rem, m.zero());
return;
}
if (a.is_val() && b.is_val()) {
rational const av = a.val();
@ -231,19 +253,13 @@ namespace polysat {
SASSERT(b.val() * q.val() + r.val() <= m.max_value());
SASSERT(r.val() <= (b * q + r).val());
SASSERT(r.val() < b.val());
return { std::move(q), std::move(r) };
}
internalize_set(quot, q);
internalize_set(rem, r);
return;
}
expr* quot = bv.mk_bv_udiv_i(x, y);
expr* rem = bv.mk_bv_urem_i(x, y);
ctx.internalize(quot);
ctx.internalize(rem);
auto quotv = expr2enode(quot)->get_th_var(get_id());
auto remv = expr2enode(rem)->get_th_var(get_id());
pdd q = var2pdd(quotv);
pdd r = var2pdd(remv);
pdd r = var2pdd(rn->get_th_var(get_id()));
pdd q = var2pdd(qn->get_th_var(get_id()));
// Axioms for quotient/remainder
//
@ -267,7 +283,6 @@ namespace polysat {
if (!c_eq.is_always_false())
add_polysat_clause("[axiom] quot_rem 5", { ~c_eq, m_core.eq(q + 1) }, false);
return { std::move(q), std::move(r) };
}
void solver::internalize_div_rem(app* e, bool is_div) {

View file

@ -126,7 +126,7 @@ namespace polysat {
pdd var2pdd(euf::theory_var v);
void internalize_set(expr* e, pdd const& p);
void internalize_set(euf::theory_var v, pdd const& p);
std::pair<pdd, pdd> quot_rem(expr* x, expr* y);
void quot_rem(expr* quot, expr* rem, expr* x, expr* y);
// callbacks from core