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working on imdds

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Signed-off-by: Nikolaj Bjorner <nbjorne@microsoft.com>
This commit is contained in:
Nikolaj Bjorner 2012-10-08 11:53:54 -07:00
parent 1cfe6e477a
commit 78f29416f1
3 changed files with 572 additions and 13 deletions
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4
lib/dl_bmc_engine.cpp
View file

@ -93,12 +93,12 @@ namespace datalog {
return l_false;
}
if (false && is_linear()) {
if (is_linear()) {
return check_linear();
}
else {
IF_VERBOSE(1, verbose_stream() << "non-linear BMC is not supported\n";);
// return l_undef;
return l_undef;
return check_nonlinear();
}
}

552
lib/imdd.cpp
View file

@ -604,6 +604,7 @@ void imdd_manager::push_back_entries(unsigned head, imdd_children::iterator & it
imdd_children::push_back_proc & push_back, bool & children_memoized) {
if (it != end) {
push_back(head, it->end_key(), it->val());
update_memoized_flag(it->val(), children_memoized);
++it;
for (; it != end; ++it) {
update_memoized_flag(it->val(), children_memoized);
@ -722,8 +723,8 @@ imdd * imdd_manager::mk_union_core(imdd * d1, imdd * d2, bool destructive, bool
}
if (head1 < head2) {
head1 = head2;
it1.move_to(head2);
head1 = it1 != end1 ? it1->begin_key() : UINT_MAX;
}
else if (head1 > head2) {
copy_upto(head2, it2, end2, head1, to_insert);
@ -846,9 +847,8 @@ void imdd_manager::mk_union_core(imdd * d1, imdd * d2, imdd_ref & r, bool memoiz
TRACE("mk_union_core",
tout << "d1:\n";
display_ll(tout, d1);
tout << "\nd2:\n";
display_ll(tout, d2);
tout << "\n";);
tout << "d2:\n";
display_ll(tout, d2););
r = mk_union_core(d1, d2, false, memoize_res);
}
@ -1579,6 +1579,460 @@ void imdd_manager::filter_identical_main2(imdd * d, imdd_ref& r, unsigned num_va
m_filter_identical_cache.reset();
}
void imdd_manager::filter_identical_main3(imdd * d, imdd_ref& r, unsigned num_vars, unsigned * vars, bool destructive, bool memoize_res) {
for (unsigned i = 0; i+1 < num_vars; ++i) {
imdd_ref tmp(*this);
tmp = r;
filter_identical_main3(tmp, r, vars[i], false, vars[i+1], false, memoize_res);
}
}
void imdd_manager::filter_identical_main3(imdd * d, imdd_ref& r, unsigned v1, bool del1, unsigned v2, bool del2, bool memoize_res) {
r = filter_identical_loop3(d, v1, del1, v2, del2, memoize_res);
if (r == 0) {
r = _mk_empty(d->get_arity()-del1-del2);
}
m_filter_identical_cache.reset();
}
imdd* imdd_manager::filter_identical_loop3(imdd * d, unsigned v1, bool del1, unsigned v2, bool del2, bool memoize_res) {
imdd* r;
if (m_filter_identical_cache.find(d, r)) {
return r;
}
if (v1 == 0) {
return filter_identical_mk_nodes(d, v2, del1, del2, memoize_res);
}
r = _mk_empty(d->get_arity()-del1-del2);
imdd_children::iterator it = d->begin_children();
imdd_children::iterator end = d->end_children();
imdd_children::push_back_proc push_back(m_sl_manager, r->m_children);
bool children_memoized = true;
for (; it != end; ++it) {
imdd* curr_child = it->val();
imdd* new_child = filter_identical_loop3(curr_child, v1-1, del1, v2-1, del2, memoize_res);
if (!new_child) {
continue;
}
if (new_child->empty()) {
delete_imdd(new_child);
continue;
}
if (!new_child->is_memoized()) {
children_memoized = false;
}
push_back(it->begin_key(), it->end_key(), new_child);
}
if (r->empty()) {
delete_imdd(r);
r = 0;
}
m_filter_identical_cache.insert(d, r);
r = memoize_new_imdd_if(r && memoize_res && children_memoized, r);
return r;
}
void imdd_manager::merge_intervals(svector<interval>& dst, svector<interval> const& src) {
svector<interval> tmp;
// invariant: intervals are sorted.
for (unsigned i = 0, j = 0; i < src.size() || j < dst.size();) {
SASSERT(!(i + 1 < src.size()) || src[i].m_hi < src[i+1].m_lo);
SASSERT(!(i + 1 < dst.size()) || dst[i].m_hi < dst[i+1].m_lo);
SASSERT(!(i < src.size()) || src[i].m_lo <= src[i].m_hi);
SASSERT(!(i < dst.size()) || dst[i].m_lo <= dst[i].m_hi);
if (i < src.size() && j < dst.size()) {
if (src[i].m_lo == dst[j].m_lo) {
tmp.push_back(src[i]);
++i;
++j;
}
else if (src[i].m_lo < dst[j].m_lo) {
tmp.push_back(src[i]);
++i;
}
else {
tmp.push_back(dst[j]);
++j;
}
}
else if (i < src.size()) {
tmp.push_back(src[i]);
++i;
}
else {
tmp.push_back(dst[j]);
++j;
}
}
dst.reset();
dst.append(tmp);
}
/**
* Propagate intervals down: what intervals can reach which nodes.
*/
imdd* imdd_manager::filter_identical_mk_nodes(imdd* d, unsigned v, bool del1, bool del2, bool memoize_res) {
SASSERT(v > 0);
TRACE("imdd", display_ll(tout << "v: " << v << "\n", d););
//
// (0)
// Create map d |-> [I] from nodes to ordered set of disjoint intervals that visit the node.
//
// For each level up to 'v' create a list of nodes visited
// insert to a map the set of intervals that visit the node.
//
filter_id_map nodes;
filter_id_map::obj_map_entry* e;
imdd* d1, *d2, *d3;
vector<ptr_vector<imdd> > levels;
levels.push_back(ptr_vector<imdd>());
imdd_children::iterator it = d->begin_children();
imdd_children::iterator end = d->end_children();
imdd* curr_child;
for (; it != end; ++it) {
curr_child = it->val();
e = nodes.insert_if_not_there2(curr_child, svector<interval>());
if (e->get_data().m_value.empty()) {
levels.back().push_back(curr_child);
}
e->get_data().m_value.push_back(interval(it->begin_key(), it->end_key()));
}
for (unsigned j = 0; j+1 < v; ++j) {
levels.push_back(ptr_vector<imdd>());
for (unsigned i = 0; i < levels[j].size(); ++i) {
d1 = levels[j][i];
svector<interval> i_nodes = nodes.find(d1);
it = d1->begin_children();
end = d1->end_children();
for(; it != end; ++it) {
imdd* curr_child = it->val();
e = nodes.insert_if_not_there2(curr_child, svector<interval>());
svector<interval>& i_nodes2 = e->get_data().m_value;
if (i_nodes2.empty()) {
levels[j+1].push_back(curr_child);
i_nodes2.append(i_nodes);
}
else {
merge_intervals(i_nodes2, i_nodes);
}
}
}
}
TRACE("imdd",
for (unsigned i = 0; i < levels.size(); ++i) {
tout << "Level: " << i << "\n";
for (unsigned j = 0; j < levels[i].size(); ++j) {
tout << levels[i][j]->get_id() << " ";
svector<interval> const& i_nodes = nodes.find(levels[i][j]);
for (unsigned k = 0; k < i_nodes.size(); ++k) {
tout << i_nodes[k].m_lo << ":" << i_nodes[k].m_hi << " ";
}
tout << "\n";
}
}
);
//
// (1)
// Intersect with children:
// - d [l1:h1:ch1][l2:h2:ch2][...]
// => produce_units: d |-> [uI1 |-> d'[uI1:ch1], uI2 |-> d''[uI2:ch1], ...] // unit intervals
// => del2: d |-> [I |-> union of ch1, ch2, .. under intersection]
// => del1 & !del2: d |-> [I |-> d'[I:ch]] // intersections of intervals.
//
filter_idd_map nodes_dd;
SASSERT(levels.size() == v);
for (unsigned i = 0; i < levels[v-1].size(); ++i) {
d1 = levels[v-1][i];
svector<interval> const & i_nodes = nodes.find(d1);
it = d1->begin_children();
end = d1->end_children();
unsigned j = 0;
svector<interval_dd> i_nodes_dd;
while (it != end && j < i_nodes.size()) {
unsigned lo1 = it->begin_key();
unsigned hi1 = it->end_key();
unsigned lo2 = i_nodes[j].m_lo;
unsigned hi2 = i_nodes[j].m_hi;
if (hi2 < lo1) {
++j;
}
else if (hi1 < lo2) {
++it;
}
// lo1 <= hi2 && lo2 <= hi1
else {
curr_child = it->val();
unsigned lo = std::max(lo1, lo2);
unsigned hi = std::min(hi1, hi2);
SASSERT(lo <= hi);
if (!del1 && !del2) {
for (unsigned k = lo; k <= hi; ++k) {
imdd* d2 = _mk_empty(d1->get_arity());
add_child(d2, k, k, curr_child);
i_nodes_dd.push_back(interval_dd(k, k, d2));
}
}
else if (del2) {
i_nodes_dd.push_back(interval_dd(lo, hi, curr_child)); // retrofill after loop.
}
else {
imdd* d2 = _mk_empty(d1->get_arity());
add_child(d2, lo, hi, curr_child);
i_nodes_dd.push_back(interval_dd(lo, hi, d2));
}
if (hi2 <= hi) {
++j;
}
if (hi1 <= hi) {
++it;
}
}
}
// take union of accumulated children.
// retrofill union inside list.
if (del2) {
d2 = 0;
for (unsigned k = 0; k < i_nodes_dd.size(); ++k) {
d3 = i_nodes_dd[k].m_dd;
if (!d2) {
d2 = d3;
}
else {
d2 = mk_union_core(d2, d3, true, memoize_res);
}
}
for (unsigned k = 0; k < i_nodes_dd.size(); ++k) {
i_nodes_dd[k].m_dd = d2;
}
}
nodes_dd.insert(d1, i_nodes_dd);
}
TRACE("imdd", print_filter_idd(tout, nodes_dd););
//
// (2)
// Move up:
// d1 |-> [I1] // intervals visiting d1
// d1 |-> [lo:hi:child] // children of d1
// child |-> [I2 |-> child'] // current decomposition
// result:
// d3 = d1' |-> [lo:hi:child']
// d1 |-> [I3 |-> d3] for I3 in merge of [I1] and [I2]
//
// The merge is defined as the intersection of intervals that reside in I1 and
// the fractions in I2. They are decomposed so that all intervals are covered.
// By construction I2 are contained in I1,
// but they may be overlapping among different I2.
//
for (unsigned i = v-1; i > 0; ) {
--i;
for (unsigned j = 0; j < levels[i].size(); ++j) {
d1 = levels[i][j];
svector<interval_dd> i_nodes_dd;
svector<interval> i_nodes = nodes.find(d1);
it = d1->begin_children();
end = d1->end_children();
unsigned_vector offsets;
for( ; it != end; ++it) {
curr_child = it->val();
refine_intervals(i_nodes, nodes_dd.find(curr_child));
offsets.push_back(0);
}
for (unsigned k = 0; k < i_nodes.size(); ++k) {
interval const& intv = i_nodes[k];
d3 = _mk_empty(d1->get_arity()-del2);
it = d1->begin_children();
for(unsigned child_id = 0; it != end; ++it, ++child_id) {
curr_child = it->val();
svector<interval_dd> const& ch_nodes_dd = nodes_dd.find(curr_child);
unsigned offset = offsets[child_id];
TRACE("imdd_verbose", tout << intv.m_lo << ":" << intv.m_hi << "\n";
for (unsigned l = offset; l < ch_nodes_dd.size(); ++l) {
tout << ch_nodes_dd[l].m_lo << ":" << ch_nodes_dd[l].m_hi << " " << ch_nodes_dd[l].m_dd->get_id() << " ";
}
tout << "\n";
);
unsigned hi, lo;
d2 = 0;
while (offset < ch_nodes_dd.size() && !d2) {
lo = ch_nodes_dd[offset].m_lo;
hi = ch_nodes_dd[offset].m_hi;
if (intv.m_hi < lo) {
break;
}
if (hi < intv.m_lo) {
++offset;
continue;
}
SASSERT(lo <= intv.m_lo);
SASSERT(intv.m_hi <= hi);
d2 = ch_nodes_dd[offset].m_dd;
if (intv.m_hi == hi) {
++offset;
}
}
offsets[child_id] = offset;
if (d2) {
add_child(d3, it->begin_key(), it->end_key(), d2);
}
}
if (d3->empty()) {
delete_imdd(d3);
}
else {
i_nodes_dd.push_back(interval_dd(intv.m_lo, intv.m_hi, d3));
}
}
TRACE("imdd", tout << d1->get_id() << ": "; print_interval_dd(tout, i_nodes_dd););
nodes_dd.insert(d1, i_nodes_dd);
}
}
TRACE("imdd", print_filter_idd(tout, nodes_dd););
//
// (3)
// Finalize:
// d |-> [I1:child] // children of d
// child |-> [I2 |-> child'] // current decomposition
// result:
// d' = union of child' // if del1
// d' |-> [I2:child'] // if !del1
//
it = d->begin_children();
end = d->end_children();
d1 = _mk_empty(d->get_arity()-del1-del2);
svector<interval_dd> i_nodes_dd, i_nodes_tmp;
for (; it != end; ++it) {
curr_child = it->val();
i_nodes_tmp.reset();
svector<interval_dd> const& i_nodes_dd1 = nodes_dd.find(curr_child);
for (unsigned i = 0, j = 0; i < i_nodes_dd.size() || j < i_nodes_dd1.size(); ) {
if (i < i_nodes_dd.size() && j < i_nodes_dd1.size()) {
interval_dd const& iv1 = i_nodes_dd[i];
interval_dd const& iv2 = i_nodes_dd1[j];
if (iv1.m_lo == iv2.m_lo) {
SASSERT(iv1.m_hi == iv2.m_hi);
SASSERT(iv1.m_dd == iv2.m_dd);
i_nodes_tmp.push_back(iv1);
++i;
++j;
}
else if (iv1.m_lo < iv2.m_lo) {
SASSERT(iv1.m_hi < iv2.m_lo);
i_nodes_tmp.push_back(iv1);
++i;
}
else {
SASSERT(iv2.m_hi < iv1.m_lo);
i_nodes_tmp.push_back(iv2);
++j;
}
}
else if (i < i_nodes_dd.size()) {
i_nodes_tmp.push_back(i_nodes_dd[i]);
++i;
}
else if (j < i_nodes_dd1.size()) {
i_nodes_tmp.push_back(i_nodes_dd1[j]);
++j;
}
}
i_nodes_dd.reset();
i_nodes_dd.append(i_nodes_tmp);
}
for (unsigned i = 0; i < i_nodes_dd.size(); ++i) {
imdd* ch = i_nodes_dd[i].m_dd;
unsigned lo = i_nodes_dd[i].m_lo;
unsigned hi = i_nodes_dd[i].m_hi;
if (del1) {
d1 = mk_union_core(d1, ch, true, memoize_res);
}
else {
add_child(d1, lo, hi, ch);
}
}
TRACE("imdd", display_ll(tout, d1););
return d1;
}
void imdd_manager::print_interval_dd(std::ostream& out, svector<interval_dd> const& m) {
for (unsigned i = 0; i < m.size(); ++i) {
out << m[i].m_lo << ":" << m[i].m_hi << " " << m[i].m_dd->get_id() << " ";
}
out << "\n";
}
void imdd_manager::print_filter_idd(std::ostream& out, filter_idd_map const& m) {
filter_idd_map::iterator it = m.begin(), end = m.end();
for (; it != end; ++it) {
out << it->m_key->get_id() << ": ";
print_interval_dd(out, it->m_value);
}
}
/**
\brief partition intervals of i_nodes by sub-intervals that are used in i_nodes_dd.
Assumption:
- All values covered in i_nodes_dd are present in i_nodes.
*/
void imdd_manager::refine_intervals(svector<interval>& i_nodes, svector<interval_dd> const& i_nodes_dd) {
svector<interval> result;
for (unsigned i = 0, j = 0; i < i_nodes.size(); ++i) {
result.push_back(i_nodes[i]);
unsigned lo = result.back().m_lo;
unsigned hi = result.back().m_hi;
for (; j < i_nodes_dd.size(); ++j) {
unsigned lo1 = i_nodes_dd[j].m_lo;
unsigned hi1 = i_nodes_dd[j].m_hi;
SASSERT(lo <= hi);
SASSERT(lo1 <= hi1);
if (hi < lo1) {
break;
}
if (lo < lo1) {
result.back().m_hi = lo1-1;
result.push_back(interval(lo1, hi));
lo = lo1;
}
SASSERT(lo1 <= lo);
if (lo > hi1) {
continue;
}
if (hi1 < hi) {
result.back().m_hi = hi1;
result.push_back(interval(hi1+1, hi));
lo = hi1+1;
}
}
}
i_nodes.reset();
i_nodes.append(result);
}
void imdd_manager::mk_project_core(imdd * d, imdd_ref & r, unsigned var, unsigned num_found, bool memoize_res) {
unsigned arity = d->get_arity();
@ -1764,6 +2218,7 @@ void imdd_manager::mk_join(
r = tmp; // memoize_new_imdd_if(memoize_res, tmp);
}
#if 0
void imdd_manager::mk_join_project(
imdd * d1, imdd * d2, imdd_ref & r,
unsigned_vector const& vars1, unsigned_vector const& vars2,
@ -1786,8 +2241,86 @@ void imdd_manager::mk_join_project(
tout << "\n";
tout << "arity: " << d1->get_arity() << " + " << d2->get_arity() << "\n";
display_ll(tout << "d1\n", d1);
display_ll(tout << "\nd2\n", d2);
display_ll(tout << "\nresult\n", tmp);
display_ll(tout << "d2\n", d2);
display_ll(tout << "result\n", tmp);
tout << "\n";
);
r = tmp; // memoize_new_imdd_if(memoize_res, tmp);
}
#endif
void imdd_manager::mk_join_project(
imdd * d1, imdd * d2, imdd_ref & r,
unsigned_vector const& vars1, unsigned_vector const& vars2,
unsigned_vector const& proj_vars, bool memoize_res) {
SASSERT(vars1.size() == vars2.size());
imdd_ref tmp(*this);
mk_product(d1, d2, tmp);
unsigned d1_arity = d1->get_arity();
unsigned sz = tmp->get_arity();
// set up schedule for join-project.
unsigned_vector remap;
svector<bool> projected;
unsigned_vector ref_count;
for (unsigned i = 0; i < sz; ++i) {
remap.push_back(i);
}
projected.resize(sz, false);
ref_count.resize(sz, 0);
for (unsigned i = 0; i < proj_vars.size(); ++i) {
projected[proj_vars[i]] = true;
}
for (unsigned i = 0; i < vars1.size(); ++i) {
ref_count[vars1[i]]++;
ref_count[vars2[i]+d1_arity]++;
}
#define UPDATE_REMAP() \
for (unsigned i = 0, j = 0; i < sz; ++i) { \
remap[i] = j; \
if (!projected[i] || ref_count[i] > 0) { \
++j; \
} \
} \
UPDATE_REMAP();
// project unused variables:
unsigned_vector proj2;
for (unsigned i = 0; i < sz; ++i) {
if (projected[i] && ref_count[i] == 0) {
proj2.push_back(i);
}
}
mk_project(tmp, tmp, proj2.size(), proj2.c_ptr());
for (unsigned i = 0; i < vars1.size(); ++i) {
unsigned idx1 = vars1[i];
unsigned idx2 = vars2[i]+d1_arity;
ref_count[idx1]--;
ref_count[idx2]--;
bool del1 = ref_count[idx1] == 0 && projected[idx1];
bool del2 = ref_count[idx2] == 0 && projected[idx2];
filter_identical_main3(tmp, tmp, remap[idx1], del1, remap[idx2], del2, memoize_res);
if (del1 || del2) {
UPDATE_REMAP();
}
}
TRACE("imdd",
tout << "vars: ";
for (unsigned i = 0; i < vars1.size(); ++i) tout << vars1[i] << ":" << vars2[i] << " ";
tout << "\n";
tout << "proj: ";
for (unsigned i = 0; i < proj_vars.size(); ++i) tout << proj_vars[i] << " ";
tout << "\n";
tout << "arity: " << d1->get_arity() << " + " << d2->get_arity() << "\n";
display_ll(tout << "d1\n", d1);
display_ll(tout << "d2\n", d2);
display_ll(tout << "result\n", tmp);
tout << "\n";
);
@ -2133,13 +2666,13 @@ void imdd_manager::mk_swap(imdd * d, imdd_ref & r, unsigned vidx, bool memoize_r
r = d;
return;
}
TRACE("mk_swap_bug", tout << "mk_swap: " << vidx << "\n"; display_ll(tout, d); tout << "\n";);
TRACE("mk_swap_bug2", tout << "mk_swap: " << vidx << "\n"; display_ll(tout, d); tout << "\n";);
TRACE("mk_swap_bug", tout << "mk_swap: " << vidx << "\n"; display_ll(tout, d); );
TRACE("mk_swap_bug2", tout << "mk_swap: " << vidx << "\n"; display_ll(tout, d); );
m_swap_cache.reset();
reset_union_cache();
delay_dealloc delay(*this);
mk_swap_core(d, r, vidx, memoize_res);
TRACE("mk_swap_bug2", tout << "mk_swap result\n"; display_ll(tout, r); tout << "\n";);
TRACE("mk_swap_bug2", tout << "mk_swap result\n"; display_ll(tout, r); );
STRACE("imdd_trace", tout << "mk_swap(0x" << d << ", 0x" << r.get() << ", " << vidx << ", " << memoize_res << ");\n";);
}
@ -2659,6 +3192,7 @@ struct display_ll_context {
void imdd_manager::display_ll(std::ostream & out, imdd const * d) const {
display_ll_context ctx(out);
ctx.display(0, d);
out << "\n";
}
struct addone_proc {

29
lib/imdd.h
View file

@ -357,6 +357,7 @@ class imdd_manager {
imdd * mk_filter_equal_main(imdd * d, unsigned vidx, unsigned value, bool destructive, bool memoize_res);
// original
imdd2intervals m_imdd2interval_set;
ptr_vector<sl_interval_set> m_alloc_is;
typedef sl_manager_base<unsigned> sl_imanager;
@ -375,6 +376,7 @@ class imdd_manager {
bool destructive, bool memoize_res);
imdd * mk_filter_identical_main(imdd * d, unsigned num_vars, unsigned * vars, bool destructive, bool memoize_res);
// v2
obj_map<imdd, imdd*> m_filter_identical_cache;
void filter_identical_core2(imdd* d, unsigned num_vars, unsigned b, unsigned e, ptr_vector<imdd>& ch);
imdd* filter_identical_core2(imdd* d, unsigned var, unsigned num_vars, bool memoize_res);
@ -382,6 +384,29 @@ class imdd_manager {
void swap_in(imdd * d, imdd_ref& r, unsigned num_vars, unsigned * vars);
void swap_out(imdd * d, imdd_ref& r, unsigned num_vars, unsigned * vars);
// v3
struct interval {
unsigned m_lo;
unsigned m_hi;
interval(unsigned lo, unsigned hi): m_lo(lo), m_hi(hi) {}
};
struct interval_dd : public interval {
imdd* m_dd;
interval_dd(unsigned lo, unsigned hi, imdd* d): interval(lo, hi), m_dd(d) {}
};
typedef obj_map<imdd, svector<interval> > filter_id_map;
typedef obj_map<imdd, svector<interval_dd> > filter_idd_map;
void filter_identical_main3(imdd * d, imdd_ref& r, unsigned num_vars, unsigned * vars, bool destructive, bool memoize_res);
void filter_identical_main3(imdd * d, imdd_ref& r, unsigned v1, bool del1, unsigned v2, bool del2, bool memoize_res);
imdd* filter_identical_loop3(imdd * d, unsigned v1, bool del1, unsigned v2, bool del2, bool memoize_res);
void refine_intervals(svector<interval>& i_nodes, svector<interval_dd> const& i_nodes_dd);
void merge_intervals(svector<interval>& dst, svector<interval> const& src);
imdd* filter_identical_mk_nodes(imdd* d, unsigned v, bool del1, bool del2, bool memoize_res);
void print_filter_idd(std::ostream& out, filter_idd_map const& m);
void print_interval_dd(std::ostream& out, svector<interval_dd> const& m);
unsigned m_proj_num_vars;
unsigned * m_proj_begin_vars;
unsigned * m_proj_end_vars;
@ -565,11 +590,11 @@ public:
void mk_filter_identical_dupdt(imdd_ref & d, unsigned num_vars, unsigned * vars, bool memoize_res = true) {
// d = mk_filter_identical_main(d, num_vars, vars, true, memoize_res);
filter_identical_main2(d, d, num_vars, vars, true, memoize_res);
filter_identical_main3(d, d, num_vars, vars, true, memoize_res);
}
void mk_filter_identical(imdd * d, imdd_ref & r, unsigned num_vars, unsigned * vars, bool memoize_res = true) {
filter_identical_main2(d, r, num_vars, vars, false, memoize_res);
filter_identical_main3(d, r, num_vars, vars, false, memoize_res);
STRACE("imdd_trace", tout << "mk_filter_identical(0x" << d << ", 0x" << r.get() << ", ";
for (unsigned i = 0; i < num_vars; i++) tout << vars[i] << ", ";