void subst(contains_app& x, rational const& vl, expr_ref& fml, expr_ref* def) override {
app_ref c(m_bv.mk_numeral(vl, m_bv.get_bv_size(x.x())), m);
m_replace.apply_substitution(x.x(), c, fml);
if (def) {
*def = m_bv.mk_numeral(vl, m_bv.get_bv_size(x.x()));
}
}
bool reduce_quantifier(
quantifier * q,
expr * old_body,
expr * const * new_patterns,
expr * const * new_no_patterns,
expr_ref & result,
proof_ref & result_pr) {
if (q->get_kind() == lambda_k) return false;
m_sorts.reset();
expr_ref_vector bounds(m);
bool found = false;
for (unsigned i = 0; i < q->get_num_decls(); ++i) {
sort* s = q->get_decl_sort(i);
if (m_imp.is_fd(s)) {
unsigned bv_size = get_bv_size(s);
m_sorts.push_back(m_bv.mk_sort(bv_size));
unsigned nc = m_dt.get_datatype_num_constructors(s);
if (!is_power_of_two(nc) || nc == 1) {
bounds.push_back(m_bv.mk_ule(m.mk_var(q->get_num_decls()-i-1, m_sorts[i]), m_bv.mk_numeral(nc-1, bv_size)));
}
found = true;
}
else {
m_sorts.push_back(s);
}
}
if (!found) {
return false;
}
expr_ref new_body_ref(old_body, m), tmp(m);
if (!bounds.empty()) {
switch (q->get_kind()) {
case forall_k:
new_body_ref = m.mk_implies(mk_and(bounds), new_body_ref);
break;
case exists_k:
bounds.push_back(new_body_ref);
new_body_ref = mk_and(bounds);
break;
case lambda_k:
UNREACHABLE();
break;
}
}
result = m.mk_quantifier(q->get_kind(), q->get_num_decls(), m_sorts.c_ptr(), q->get_decl_names(), new_body_ref,
q->get_weight(), q->get_qid(), q->get_skid(),
q->get_num_patterns(), new_patterns,
q->get_num_no_patterns(), new_no_patterns);
result_pr = nullptr;
return true;
}
void operator()(app * n) {
if (!m.is_bool(n) && !u.is_bv(n))
throw found();
family_id fid = n->get_family_id();
if (fid == m.get_basic_family_id())
return;
if (fid == u.get_family_id())
return;
if (is_uninterp_const(n))
return;
throw found();
}
void operator()(app * n) {
sort * s = get_sort(n);
if (!m.is_bool(s) && !fu.is_float(s) && !fu.is_rm(s) && !bu.is_bv_sort(s) && !au.is_real(s))
throw found();
family_id fid = n->get_family_id();
if (fid == m.get_basic_family_id())
return;
if (fid == fu.get_family_id() || fid == bu.get_family_id())
return;
if (is_uninterp_const(n))
return;
if (au.is_real(s) && au.is_numeral(n))
return;
throw found();
}
bool project(contains_app& x, model_ref& model, expr_ref& fml) override {
model_evaluator model_eval(*model);
expr_ref val_x(m);
rational val(0);
unsigned bv_size;
model_eval(x.x(), val_x);
m_bv.is_numeral(val_x, val, bv_size);
subst(x, val, fml, nullptr);
return true;
}
bool reduce_arg(expr* a, expr_ref& result) {
sort* s = get_sort(a);
if (!m_imp.is_fd(s)) {
return false;
}
unsigned bv_size = get_bv_size(s);
if (is_var(a)) {
result = m.mk_var(to_var(a)->get_idx(), m_bv.mk_sort(bv_size));
return true;
}
SASSERT(is_app(a));
func_decl* f = to_app(a)->get_decl();
if (m_dt.is_constructor(f)) {
unsigned idx = m_dt.get_constructor_idx(f);
result = m_bv.mk_numeral(idx, bv_size);
}
else if (is_uninterp_const(a)) {
func_decl* f_fresh;
if (m_imp.m_enum2bv.find(f, f_fresh)) {
result = m.mk_const(f_fresh);
return true;
}
// create a fresh variable, add bounds constraints for it.
unsigned nc = m_dt.get_datatype_num_constructors(s);
result = m.mk_fresh_const(f->get_name().str().c_str(), m_bv.mk_sort(bv_size));
f_fresh = to_app(result)->get_decl();
if (!is_power_of_two(nc) || nc == 1) {
m_imp.m_bounds.push_back(m_bv.mk_ule(result, m_bv.mk_numeral(nc-1, bv_size)));
}
expr_ref f_def(m);
ptr_vector<func_decl> const& cs = *m_dt.get_datatype_constructors(s);
f_def = m.mk_const(cs[nc-1]);
for (unsigned i = nc - 1; i > 0; ) {
--i;
f_def = m.mk_ite(m.mk_eq(result, m_bv.mk_numeral(i,bv_size)), m.mk_const(cs[i]), f_def);
}
m_imp.m_enum2def.insert(f, f_def);
m_imp.m_enum2bv.insert(f, f_fresh);
m_imp.m_bv2enum.insert(f_fresh, f);
m_imp.m_enum_consts.push_back(f);
m_imp.m_enum_bvs.push_back(f_fresh);
m_imp.m_enum_defs.push_back(f_def);
}
else {
throw_non_fd(a);
}
++m_imp.m_num_translated;
return true;
}
br_status reduce_app(func_decl * f, unsigned num, expr * const * args, expr_ref & result, proof_ref & result_pr) {
expr_ref a0(m), a1(m);
expr_ref_vector _args(m);
if (m.is_eq(f) && reduce_arg(args[0], a0) && reduce_arg(args[1], a1)) {
result = m.mk_eq(a0, a1);
return BR_DONE;
}
else if (m.is_distinct(f) && reduce_args(num, args, _args)) {
result = m.mk_distinct(_args.size(), _args.c_ptr());
return BR_DONE;
}
else if (m_dt.is_recognizer(f) && reduce_arg(args[0], a0)) {
unsigned idx = m_dt.get_recognizer_constructor_idx(f);
a1 = m_bv.mk_numeral(rational(idx), get_sort(a0));
result = m.mk_eq(a0, a1);
return BR_DONE;
}
else {
check_for_fd(num, args);
return BR_FAILED;
}
}
bool get_num_branches(contains_app& x, expr* fml, rational& nb) override {
unsigned sz = m_bv.get_bv_size(x.x());
nb = power(rational(2), sz);
return true;
}
virtual void operator()(
goal_ref const & g,
goal_ref_buffer & result,
model_converter_ref & mc,
proof_converter_ref & pc,
expr_dependency_ref & core) {
SASSERT(g->is_well_sorted());
mc = 0; pc = 0; core = 0;
m_trail.reset();
m_fd.reset();
m_max.reset();
m_nonfd.reset();
m_bounds.reset();
ref<bvmc> mc1 = alloc(bvmc);
tactic_report report("eq2bv", *g);
m_bounds(*g);
for (unsigned i = 0; i < g->size(); i++) {
collect_fd(g->form(i));
}
cleanup_fd(mc1);
if (m_max.empty()) {
result.push_back(g.get());
return;
}
for (unsigned i = 0; i < g->size(); i++) {
expr_ref new_curr(m);
proof_ref new_pr(m);
if (is_bound(g->form(i))) {
g->update(i, m.mk_true(), 0, 0);
continue;
}
m_rw(g->form(i), new_curr, new_pr);
if (m.proofs_enabled() && !new_pr) {
new_pr = m.mk_rewrite(g->form(i), new_curr);
new_pr = m.mk_modus_ponens(g->pr(i), new_pr);
}
g->update(i, new_curr, new_pr, g->dep(i));
}
obj_map<expr, unsigned>::iterator it = m_max.begin(), end = m_max.end();
for (; it != end; ++it) {
expr* c = it->m_key;
bool strict;
rational r;
if (m_bounds.has_lower(c, r, strict)) {
SASSERT(!strict);
expr* d = m_fd.find(c);
g->assert_expr(bv.mk_ule(bv.mk_numeral(r, m.get_sort(d)), d), m_bounds.lower_dep(c));
}
if (m_bounds.has_upper(c, r, strict)) {
SASSERT(!strict);
expr* d = m_fd.find(c);
g->assert_expr(bv.mk_ule(d, bv.mk_numeral(r, m.get_sort(d))), m_bounds.upper_dep(c));
}
}
g->inc_depth();
mc = mc1.get();
result.push_back(g.get());
TRACE("pb", g->display(tout););