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Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Nikolaj Bjorner 2024-01-10 11:00:16 -08:00
parent e7c9c5f7a2
commit 33f17215f7
4 changed files with 39 additions and 103 deletions

View file

@ -183,7 +183,7 @@ namespace polysat {
case op_constraint::code::ashr_op:
return out << ">>a";
case op_constraint::code::lshr_op:
return out << ">>";
return out << ">>l";
case op_constraint::code::shl_op:
return out << "<<";
case op_constraint::code::and_op:
@ -217,7 +217,13 @@ namespace polysat {
SASSERT(!sign);
switch (m_op) {
case code::and_op:
activate_and(c, dep);
c.add_axiom("p & q <= p", { C.ule(r, q) }, false);
c.add_axiom("p & q <= q", { C.ule(r, q) }, false);
c.add_axiom("p = q -> p & q = p", { ~C.eq(p, q), C.eq(r, p) }, false);
c.add_axiom("p & 0 = 0", { ~C.eq(q), C.eq(r) }, false);
c.add_axiom("0 & q = 0", { ~C.eq(p), C.eq(r) }, false);
c.add_axiom("1 & q = q", { ~C.eq(p, m.max_value()), C.eq(r, q) }, false);
c.add_axiom("p & 1 = q", { ~C.eq(q, m.max_value()), C.eq(r, p) }, false);
break;
case code::or_op:
c.add_axiom("p | q >= p", { C.ule(p, r) }, false);
@ -225,19 +231,23 @@ namespace polysat {
c.add_axiom("p = q -> p | q = p", { ~C.eq(p, q), C.eq(r, p) }, false);
c.add_axiom("p | 0 = p", { ~C.eq(q), C.eq(r, p) }, false);
c.add_axiom("0 | q = q", { ~C.eq(p), C.eq(r, q) }, false);
c.add_axiom("1 | q = 1", { ~C.eq(p, m.max_value()), C.eq(r, p) }, false);
c.add_axiom("p | 1 = 1", { ~C.eq(q, m.max_value()), C.eq(r, q) }, false);
break;
case code::ashr_op:
c.add_axiom("q >= N & p < 0 -> p <<a q = -1", { ~C.uge(q, N), ~C.slt(p, 0), C.eq(r, m.max_value()) }, false);
c.add_axiom("q >= N & p >= 0 -> p <<a q = 0", { ~C.uge(q, N), ~C.sge(p, 0), C.eq(r) }, false);
c.add_axiom("q = 0 -> p <<a q = p", { ~C.eq(q), C.eq(r, p) }, false);
c.add_axiom("q >= N & p < 0 -> p >>a q = -1", { ~C.uge(q, N), ~C.slt(p, 0), C.eq(r, m.max_value()) }, false);
c.add_axiom("q >= N & p >= 0 -> p >>a q = 0", { ~C.uge(q, N), ~C.sge(p, 0), C.eq(r) }, false);
c.add_axiom("q = 0 -> p >>a q = p", { ~C.eq(q), C.eq(r, p) }, false);
c.add_axiom("p = 0 -> p >>a q = p", { ~C.eq(p), C.eq(r, p) }, false);
break;
case code::lshr_op:
c.add_axiom("q >= N -> p <<l q = 0", { ~C.uge(q, N), C.eq(r) }, false);
c.add_axiom("q = 0 -> p <<l q = p", { ~C.eq(q), C.eq(r, p) }, false);
c.add_axiom("q >= N -> p >>l q = 0", { ~C.uge(q, N), C.eq(r) }, false);
c.add_axiom("q = 0 -> p >>l q = p", { ~C.eq(q), C.eq(r, p) }, false);
c.add_axiom("p = 0 -> p >>l q = p", { ~C.eq(p), C.eq(r, p) }, false);
break;
case code::shl_op:
c.add_axiom("q >= N -> p >> q = 0", { ~C.uge(q, N), C.eq(r) }, false);
c.add_axiom("q = 0 -> p >> q = p", { ~C.eq(q), C.eq(r, p) }, false);
c.add_axiom("q >= N -> p << q = 0", { ~C.uge(q, N), C.eq(r) }, false);
c.add_axiom("q = 0 -> p << q = p", { ~C.eq(q), C.eq(r, p) }, false);
break;
case code::inv_op:
break;
@ -303,12 +313,6 @@ namespace polysat {
*
* when q is a constant, several axioms can be enforced at activation time.
*
* Enforce also inferences and bounds
*
* TODO: use also
* s.m_viable.min_viable();
* s.m_viable.max_viable(
* when r, q are variables.
*/
void op_constraint::propagate_lshr(core& c) {
auto& m = p.manager();
@ -360,35 +364,6 @@ namespace polysat {
}
}
void op_constraint::activate_and(core& c, dependency const& d) {
auto x = p, y = q;
auto& C = c.cs();
c.add_axiom("p & q <= p", { C.ule(r, p) }, false);
c.add_axiom("p & q <= q", { C.ule(r, q) }, false);
c.add_axiom("p = q -> p & q = p", { ~C.eq(p, q), C.eq(r, p) }, false);
if (x.is_val())
std::swap(x, y);
if (!y.is_val())
return;
auto& m = x.manager();
auto yv = y.val();
if (!(yv + 1).is_power_of_two())
return;
if (yv == m.max_value())
c.add_axiom("p & 1 = p", { C.eq(x, r) }, false);
else if (yv == 0)
c.add_axiom("p & 0 = 0", { C.eq(r) }, false);
else {
unsigned N = m.power_of_2();
unsigned k = yv.get_num_bits();
SASSERT(k < N);
rational exp = rational::power_of_two(N - k);
c.add_axiom("(p & 0011)*2^k = p*2^k", { C.eq(x * exp, r * exp) }, false);
}
}
void op_constraint::propagate_ashr(core& c) {
//
// Suppose q = k, p >= 0:
@ -433,11 +408,11 @@ namespace polysat {
/**
* Enforce axioms for constraint: r == p << q
*
* q >= N -> r = 0
* q = k -> r = 2^k*p, 0 < k < N
*
* Optional:
* q >= k -> r = 0 \/ r >= 2^k
* q >= k -> r[i] = 0 for i < k
* q = k -> r[i+k] = p[i] for 0 <= i < N - k
* q = 0 -> r = p
*/
void op_constraint::propagate_shl(core& c) {
auto& m = p.manager();
@ -447,41 +422,21 @@ namespace polysat {
unsigned const N = m.power_of_2();
auto& C = c.cs();
if (qv.is_val() && qv.val() >= N && rv.is_val() && !rv.is_zero())
c.add_axiom("q >= N -> p >> q = 0", { ~C.ule(N, q), C.eq(r) }, true);
else if (qv.is_zero() && pv.is_val() && rv.is_val() && rv != pv)
//
c.add_axiom("q = 0 -> p >> q = p", { ~C.eq(q), C.eq(r, p) }, true);
else if (qv.is_val() && !qv.is_zero() && qv.val() < N && rv.is_val() &&
!rv.is_zero() && rv.val() < rational::power_of_two(qv.val().get_unsigned()))
// q >= k -> r = 0 \/ r >= 2^k (intuitive version)
// q >= k -> r - 1 >= 2^k - 1 (equivalent unit constraint to better support narrowing)
c.add_axiom("q >= k -> r - 1 >= 2^k - 1", { ~C.ule(qv.val(), q), C.ule(rational::power_of_two(qv.val().get_unsigned()) - 1, r - 1) }, true);
else if (pv.is_val() && rv.is_val() && qv.is_val() && !qv.is_zero()) {
unsigned k = qv.val().get_unsigned();
// q = k -> r[i+k] = p[i] for 0 <= i < N - k
for (unsigned i = 0; i < N - k; ++i) {
if (rv.val().get_bit(i + k) && !pv.val().get_bit(i))
c.add_axiom("q = k -> p>>q[i+k] = p[i] for 0 <= i < N - k", { ~C.eq(q, k), ~C.bit(r, i + k), C.bit(p, i) }, true);
else if (!rv.val().get_bit(i + k) && pv.val().get_bit(i))
c.add_axiom("q = k -> p>>q[i+k] = p[i] for 0 <= i < N - k", { ~C.eq(q, k), C.bit(r, i + k), ~C.bit(p, i) }, true);
}
}
else {
// forward propagation
SASSERT(!(pv.is_val() && qv.is_val() && rv.is_val()));
if (qv.is_val() && !rv.is_val()) {
rational const& q_val = qv.val();
if (q_val >= N)
c.add_axiom("q >= N ==> p << q = 0", { ~C.ule(N, q), C.eq(r) }, true);
if (pv.is_val()) {
SASSERT(q_val.is_unsigned());
// p = p_val & q = q_val ==> r = p_val * 2^q_val
rational const r_val = pv.val() * rational::power_of_two(q_val.get_unsigned());
c.add_axiom("p = v1, q = v2, p << q -> v1 << v2", { ~C.eq(p, pv), ~C.eq(q, qv), C.eq(r, r_val) }, true);
}
}
}
if (!qv.is_val())
return;
if (qv.is_zero() || qv.val() >= N)
return;
auto k = qv.val().get_unsigned();
auto twoK = rational::power_of_two(k);
#if 0
if (rv.is_val() && rv.val() < twoK && !rv.is_zero())
return add_conflict(c, "q >= k -> r = 0 or r >= 2^k", { ~C.uge(q, k), C.eq(r), C.uge(r, twoK) });
#endif
add_conflict(c, "p << k = 2^k*p", { ~C.eq(q, k), C.eq(r, p * twoK) });
}
/**
@ -507,18 +462,6 @@ namespace polysat {
if (!pv.is_val() || !qv.is_val() || !rv.is_val())
return;
if (pv.is_max() && qv != rv)
return add_conflict(c, "p = -1 => p & q = q", { ~C.eq(p, m.max_value()), C.eq(q, r) });
if (qv.is_max() && pv != rv)
return add_conflict(c, "q = -1 => p & q = p", { ~C.eq(q, m.max_value()), C.eq(p, r) });
if (pv.is_zero() && !rv.is_zero())
return add_conflict(c, "p = 0 => p & q = 0", { ~C.eq(p), C.eq(r) });
if (qv.is_zero() && !rv.is_zero())
return add_conflict(c, "q = 0 => p & q = 0", { ~C.eq(q), C.eq(r) });
if (propagate_mask(c, p, q, r, pv.val(), qv.val(), rv.val()))
return;
@ -551,8 +494,6 @@ namespace polysat {
auto rv = c.subst(r);
auto& C = c.cs();
verbose_stream() << "propagate or " << p << " | " << q << " = " << r << "\n";
if (!pv.is_val() || !qv.is_val() || !rv.is_val())
return;

View file

@ -71,12 +71,8 @@ namespace polysat {
void propagate(core& c, signed_constraint const& sc);
void add_conflict(core& c, char const* ax, constraint_or_dependency_list const& cs);
std::ostream& display(std::ostream& out, char const* eq) const;
void activate_and(core& s, dependency const& d);
public:
~op_constraint() override {}
code get_op() const { return m_op; }

View file

@ -242,7 +242,6 @@ namespace polysat {
void saturation::try_op(pvar v, signed_constraint& sc, dependency const& d) {
verbose_stream() << "try op " << sc << "\n";
SASSERT(sc.is_op());
sc.propagate(c, l_true, d);
}

View file

@ -682,13 +682,13 @@ namespace polysat {
SASSERT(bv.is_concat(e));
SASSERT(e->get_num_args() > 0);
sat::literal_vector neqs;
expr* hi = e->get_arg(e->get_num_args() - 1);
expr* hi = e->get_arg(0);
auto sz_e = bv.get_bv_size(e);
auto sz_h = bv.get_bv_size(hi);
auto eq0 = eq_internalize(hi, bv.mk_numeral(0, sz_h));
auto sz_eqs = sz_h;
neqs.push_back(~eq0);
for (unsigned i = e->get_num_args() - 1; i-- > 0; ) {
for (unsigned i = 1; i < e->get_num_args(); ++i) {
auto gtlo = ~mk_literal(bv.mk_ule(bv.mk_numeral(rational::power_of_two(sz_e - sz_eqs), sz_e), e));
neqs.push_back(gtlo);
add_axiom("hi = 0 => concat(hi, lo) < 2^|lo|", neqs, false);