mirror of
https://github.com/Z3Prover/z3
synced 2025-04-15 13:28:47 +00:00
debugging reordering
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
parent
8811d78415
commit
80f24c29ab
|
@ -18,6 +18,7 @@ Revision History:
|
|||
--*/
|
||||
|
||||
#include "sat/sat_bdd.h"
|
||||
#include "util/trace.h"
|
||||
|
||||
namespace sat {
|
||||
|
||||
|
@ -48,12 +49,7 @@ namespace sat {
|
|||
|
||||
// add variables
|
||||
for (unsigned i = 0; i < num_vars; ++i) {
|
||||
m_var2bdd.push_back(make_node(i, false_bdd, true_bdd));
|
||||
m_var2bdd.push_back(make_node(i, true_bdd, false_bdd));
|
||||
m_nodes[m_var2bdd[2*i]].m_refcount = max_rc;
|
||||
m_nodes[m_var2bdd[2*i+1]].m_refcount = max_rc;
|
||||
m_var2level.push_back(i);
|
||||
m_level2var.push_back(i);
|
||||
reserve_var(i);
|
||||
}
|
||||
}
|
||||
|
||||
|
@ -73,8 +69,8 @@ namespace sat {
|
|||
return (a == true_bdd && b == true_bdd) ? true_bdd : false_bdd;
|
||||
case bdd_or_op:
|
||||
return (a == true_bdd || b == true_bdd) ? true_bdd : false_bdd;
|
||||
case bdd_iff_op:
|
||||
return (a == b) ? true_bdd : false_bdd;
|
||||
case bdd_xor_op:
|
||||
return (a == b) ? false_bdd : true_bdd;
|
||||
default:
|
||||
return false_bdd;
|
||||
}
|
||||
|
@ -99,7 +95,7 @@ namespace sat {
|
|||
bdd bdd_manager::mk_false() { return bdd(false_bdd, this); }
|
||||
bdd bdd_manager::mk_and(bdd const& a, bdd const& b) { return bdd(apply(a.root, b.root, bdd_and_op), this); }
|
||||
bdd bdd_manager::mk_or(bdd const& a, bdd const& b) { return bdd(apply(a.root, b.root, bdd_or_op), this); }
|
||||
bdd bdd_manager::mk_iff(bdd const& a, bdd const& b) { return bdd(apply(a.root, b.root, bdd_iff_op), this); }
|
||||
bdd bdd_manager::mk_xor(bdd const& a, bdd const& b) { return bdd(apply(a.root, b.root, bdd_xor_op), this); }
|
||||
bdd bdd_manager::mk_exists(unsigned v, bdd const& b) { return mk_exists(1, &v, b); }
|
||||
bdd bdd_manager::mk_forall(unsigned v, bdd const& b) { return mk_forall(1, &v, b); }
|
||||
|
||||
|
@ -132,10 +128,10 @@ namespace sat {
|
|||
if (is_false(b)) return a;
|
||||
if (is_true(a) || is_true(b)) return true_bdd;
|
||||
break;
|
||||
case bdd_iff_op:
|
||||
if (a == b) return true_bdd;
|
||||
if (is_true(a)) return b;
|
||||
if (is_true(b)) return a;
|
||||
case bdd_xor_op:
|
||||
if (a == b) return false_bdd;
|
||||
if (is_false(a)) return b;
|
||||
if (is_false(b)) return a;
|
||||
break;
|
||||
default:
|
||||
UNREACHABLE();
|
||||
|
@ -265,9 +261,9 @@ namespace sat {
|
|||
goto go_down;
|
||||
}
|
||||
go_up:
|
||||
TRACE("bdd", tout << "sift up " << lvl << "\n";);
|
||||
while (lvl < max_lvl) {
|
||||
sift_up(lvl);
|
||||
++lvl;
|
||||
sift_up(lvl++);
|
||||
double cost = current_cost();
|
||||
if (is_bad_cost(cost, best_cost)) break;
|
||||
best_cost = std::min(cost, best_cost);
|
||||
|
@ -275,22 +271,20 @@ namespace sat {
|
|||
if (first) {
|
||||
first = false;
|
||||
while (lvl != start) {
|
||||
sift_up(lvl-1);
|
||||
--lvl;
|
||||
sift_up(--lvl);
|
||||
}
|
||||
goto go_down;
|
||||
}
|
||||
else {
|
||||
while (current_cost() != best_cost) {
|
||||
sift_up(lvl-1);
|
||||
--lvl;
|
||||
sift_up(--lvl);
|
||||
}
|
||||
return;
|
||||
}
|
||||
go_down:
|
||||
TRACE("bdd", tout << "sift down " << lvl << "\n";);
|
||||
while (lvl > 0) {
|
||||
sift_up(lvl-1);
|
||||
--lvl;
|
||||
sift_up(--lvl);
|
||||
double cost = current_cost();
|
||||
if (is_bad_cost(cost, best_cost)) break;
|
||||
best_cost = std::min(cost, best_cost);
|
||||
|
@ -298,15 +292,13 @@ namespace sat {
|
|||
if (first) {
|
||||
first = false;
|
||||
while (lvl != start) {
|
||||
sift_up(lvl);
|
||||
++lvl;
|
||||
sift_up(lvl++);
|
||||
}
|
||||
goto go_up;
|
||||
}
|
||||
else {
|
||||
while (current_cost() != best_cost) {
|
||||
sift_up(lvl);
|
||||
++lvl;
|
||||
sift_up(lvl++);
|
||||
}
|
||||
return;
|
||||
}
|
||||
|
@ -330,30 +322,37 @@ namespace sat {
|
|||
else {
|
||||
m_T.push_back(n);
|
||||
}
|
||||
TRACE("bdd", tout << "remove " << n << "\n";);
|
||||
m_node_table.remove(m_nodes[n]);
|
||||
}
|
||||
m_level2nodes[lvl + 1].reset();
|
||||
m_level2nodes[lvl + 1].append(m_T);
|
||||
|
||||
for (unsigned n : m_level2nodes[lvl]) {
|
||||
bdd_node& node = m_nodes[n];
|
||||
m_node_table.remove(node);
|
||||
if (m_max_parent[n] == lvl + 1 && node.m_refcount == 0) {
|
||||
TRACE("bdd", tout << "free " << n << "\n";);
|
||||
node.set_internal();
|
||||
m_free_nodes.push_back(n);
|
||||
}
|
||||
else {
|
||||
TRACE("bdd", tout << "set level " << n << " to " << lvl + 1 << "\n";);
|
||||
node.m_level = lvl + 1;
|
||||
m_node_table.insert(node);
|
||||
m_level2nodes[lvl + 1].push_back(n);
|
||||
}
|
||||
}
|
||||
|
||||
m_level2nodes[lvl].reset();
|
||||
m_level2nodes[lvl].append(m_S);
|
||||
|
||||
for (unsigned n : m_S) {
|
||||
m_nodes[n].m_level = lvl;
|
||||
m_node_table.insert(m_nodes[n]);
|
||||
}
|
||||
|
||||
std::swap(m_level2nodes[lvl], m_level2nodes[lvl + 1]);
|
||||
|
||||
for (unsigned n : m_T) {
|
||||
TRACE("bdd", tout << "transform " << n << "\n";);
|
||||
BDD l = lo(n);
|
||||
BDD h = hi(n);
|
||||
if (l == 0 && h == 0) continue;
|
||||
|
@ -392,6 +391,14 @@ namespace sat {
|
|||
std::swap(m_level2var[lvl], m_level2var[lvl+1]);
|
||||
std::swap(m_var2level[v], m_var2level[w]);
|
||||
m_disable_gc = false;
|
||||
TRACE("bdd", tout << "sift " << lvl << "\n"; display(tout); );
|
||||
DEBUG_CODE(
|
||||
for (unsigned i = 0; i < m_level2nodes.size(); ++i) {
|
||||
for (unsigned n : m_level2nodes[i]) {
|
||||
bdd_node const& node = m_nodes[n];
|
||||
SASSERT(node.m_level == i);
|
||||
}
|
||||
});
|
||||
}
|
||||
|
||||
void bdd_manager::init_reorder() {
|
||||
|
@ -403,18 +410,41 @@ namespace sat {
|
|||
if (n.is_internal()) continue;
|
||||
unsigned lvl = n.m_level;
|
||||
SASSERT(i == m_nodes[i].m_index);
|
||||
while (m_level2nodes.size() <= lvl) m_level2nodes.push_back(unsigned_vector());
|
||||
m_level2nodes.reserve(lvl + 1);
|
||||
m_level2nodes[lvl].push_back(i);
|
||||
m_max_parent[n.m_lo] = std::max(m_max_parent[n.m_lo], lvl);
|
||||
m_max_parent[n.m_hi] = std::max(m_max_parent[n.m_hi], lvl);
|
||||
}
|
||||
TRACE("bdd",
|
||||
display(tout);
|
||||
for (unsigned i = 0; i < sz; ++i) {
|
||||
bdd_node const& n = m_nodes[i];
|
||||
if (n.is_internal()) continue;
|
||||
unsigned lvl = n.m_level;
|
||||
tout << "lvl: " << lvl << " parent: " << m_max_parent[i] << " lo " << n.m_lo << " hi " << n.m_hi << "\n";
|
||||
}
|
||||
);
|
||||
}
|
||||
|
||||
void bdd_manager::reserve_var(unsigned i) {
|
||||
while (m_var2level.size() <= i) {
|
||||
unsigned v = m_var2level.size();
|
||||
m_var2bdd.push_back(make_node(v, false_bdd, true_bdd));
|
||||
m_var2bdd.push_back(make_node(v, true_bdd, false_bdd));
|
||||
m_nodes[m_var2bdd[2*v]].m_refcount = max_rc;
|
||||
m_nodes[m_var2bdd[2*v+1]].m_refcount = max_rc;
|
||||
m_var2level.push_back(v);
|
||||
m_level2var.push_back(v);
|
||||
}
|
||||
}
|
||||
|
||||
bdd bdd_manager::mk_var(unsigned i) {
|
||||
reserve_var(i);
|
||||
return bdd(m_var2bdd[2*i], this);
|
||||
}
|
||||
|
||||
bdd bdd_manager::mk_nvar(unsigned i) {
|
||||
reserve_var(i);
|
||||
return bdd(m_var2bdd[2*i+1], this);
|
||||
}
|
||||
|
||||
|
@ -581,6 +611,29 @@ namespace sat {
|
|||
return m_count[b.root];
|
||||
}
|
||||
|
||||
unsigned bdd_manager::bdd_size(bdd const& b) {
|
||||
init_mark();
|
||||
set_mark(0);
|
||||
set_mark(1);
|
||||
unsigned sz = 0;
|
||||
m_todo.push_back(b.root);
|
||||
while (!m_todo.empty()) {
|
||||
BDD r = m_todo.back();
|
||||
m_todo.pop_back();
|
||||
if (!is_marked(r)) {
|
||||
++sz;
|
||||
set_mark(r);
|
||||
if (!is_marked(lo(r))) {
|
||||
m_todo.push_back(lo(r));
|
||||
}
|
||||
if (!is_marked(hi(r))) {
|
||||
m_todo.push_back(hi(r));
|
||||
}
|
||||
}
|
||||
}
|
||||
return sz;
|
||||
}
|
||||
|
||||
void bdd_manager::alloc_free_nodes(unsigned n) {
|
||||
for (unsigned i = 0; i < n; ++i) {
|
||||
m_free_nodes.push_back(m_nodes.size());
|
||||
|
@ -678,31 +731,35 @@ namespace sat {
|
|||
return out;
|
||||
}
|
||||
|
||||
void bdd_manager::well_formed() {
|
||||
for (unsigned n : m_free_nodes) {
|
||||
VERIFY(lo(n) == 0 && hi(n) == 0 && m_nodes[n].m_refcount == 0);
|
||||
}
|
||||
for (bdd_node const& n : m_nodes) {
|
||||
if (n.is_internal()) continue;
|
||||
unsigned lvl = n.m_level;
|
||||
BDD lo = n.m_lo;
|
||||
BDD hi = n.m_hi;
|
||||
VERIFY(is_const(lo) || level(lo) < lvl);
|
||||
VERIFY(is_const(hi) || level(hi) < lvl);
|
||||
}
|
||||
}
|
||||
|
||||
std::ostream& bdd_manager::display(std::ostream& out) {
|
||||
for (unsigned i = 0; i < m_nodes.size(); ++i) {
|
||||
bdd_node const& n = m_nodes[i];
|
||||
if (n.is_internal()) continue;
|
||||
out << i << " : " << m_level2var[n.m_level] << " " << n.m_lo << " " << n.m_hi << "\n";
|
||||
}
|
||||
for (unsigned i = 0; i < m_level2nodes.size(); ++i) {
|
||||
out << i << " : ";
|
||||
for (unsigned l : m_level2nodes[i]) out << l << " ";
|
||||
out << "\n";
|
||||
}
|
||||
return out;
|
||||
}
|
||||
|
||||
bdd::bdd(unsigned root, bdd_manager* m): root(root), m(m) { m->inc_ref(root); }
|
||||
bdd::bdd(bdd & other): root(other.root), m(other.m) { m->inc_ref(root); }
|
||||
bdd::bdd(bdd && other): root(0), m(other.m) { std::swap(root, other.root); }
|
||||
bdd::~bdd() { m->dec_ref(root); }
|
||||
bdd bdd::lo() const { return bdd(m->lo(root), m); }
|
||||
bdd bdd::hi() const { return bdd(m->hi(root), m); }
|
||||
unsigned bdd::var() const { return m->var(root); }
|
||||
bool bdd::is_true() const { return root == bdd_manager::true_bdd; }
|
||||
bool bdd::is_false() const { return root == bdd_manager::false_bdd; }
|
||||
bdd bdd::operator!() { return m->mk_not(*this); }
|
||||
bdd bdd::operator&&(bdd const& other) { return m->mk_and(*this, other); }
|
||||
bdd bdd::operator||(bdd const& other) { return m->mk_or(*this, other); }
|
||||
bdd& bdd::operator=(bdd const& other) { unsigned r1 = root; root = other.root; m->inc_ref(root); m->dec_ref(r1); return *this; }
|
||||
std::ostream& bdd::display(std::ostream& out) const { return m->display(out, *this); }
|
||||
std::ostream& operator<<(std::ostream& out, bdd const& b) { return b.display(out); }
|
||||
double bdd::cnf_size() const { return m->cnf_size(*this); }
|
||||
double bdd::dnf_size() const { return m->dnf_size(*this); }
|
||||
|
||||
}
|
||||
|
|
|
@ -35,7 +35,7 @@ namespace sat {
|
|||
enum bdd_op {
|
||||
bdd_and_op = 2,
|
||||
bdd_or_op = 3,
|
||||
bdd_iff_op = 4,
|
||||
bdd_xor_op = 4,
|
||||
bdd_not_op = 5,
|
||||
bdd_and_proj_op = 6,
|
||||
bdd_or_proj_op = 7,
|
||||
|
@ -149,7 +149,6 @@ namespace sat {
|
|||
void set_mark(unsigned i) { m_mark[i] = m_mark_level; }
|
||||
bool is_marked(unsigned i) { return m_mark[i] == m_mark_level; }
|
||||
|
||||
void try_reorder();
|
||||
void init_reorder();
|
||||
void sift_up(unsigned level);
|
||||
void sift_var(unsigned v);
|
||||
|
@ -173,10 +172,15 @@ namespace sat {
|
|||
|
||||
double dnf_size(bdd const& b) { return count(b, 0); }
|
||||
double cnf_size(bdd const& b) { return count(b, 1); }
|
||||
unsigned bdd_size(bdd const& b);
|
||||
|
||||
bdd mk_not(bdd b);
|
||||
bdd mk_and(bdd const& a, bdd const& b);
|
||||
bdd mk_or(bdd const& a, bdd const& b);
|
||||
bdd mk_xor(bdd const& a, bdd const& b);
|
||||
|
||||
void reserve_var(unsigned v);
|
||||
void well_formed();
|
||||
|
||||
public:
|
||||
struct mem_out {};
|
||||
|
@ -196,39 +200,43 @@ namespace sat {
|
|||
bdd mk_forall(unsigned n, unsigned const* vars, bdd const & b);
|
||||
bdd mk_exists(unsigned v, bdd const& b);
|
||||
bdd mk_forall(unsigned v, bdd const& b);
|
||||
bdd mk_iff(bdd const& a, bdd const& b);
|
||||
bdd mk_ite(bdd const& c, bdd const& t, bdd const& e);
|
||||
|
||||
std::ostream& display(std::ostream& out);
|
||||
std::ostream& display(std::ostream& out, bdd const& b);
|
||||
|
||||
void try_reorder();
|
||||
};
|
||||
|
||||
class bdd {
|
||||
friend class bdd_manager;
|
||||
unsigned root;
|
||||
bdd_manager* m;
|
||||
bdd(unsigned root, bdd_manager* m);
|
||||
bdd(unsigned root, bdd_manager* m): root(root), m(m) { m->inc_ref(root); }
|
||||
public:
|
||||
bdd(bdd & other);
|
||||
bdd(bdd && other);
|
||||
bdd(bdd & other): root(other.root), m(other.m) { m->inc_ref(root); }
|
||||
bdd(bdd && other): root(0), m(other.m) { std::swap(root, other.root); }
|
||||
bdd& operator=(bdd const& other);
|
||||
~bdd();
|
||||
bdd lo() const;
|
||||
bdd hi() const;
|
||||
unsigned var() const;
|
||||
bool is_true() const;
|
||||
bool is_false() const;
|
||||
|
||||
bdd operator!();
|
||||
bdd operator&&(bdd const& other);
|
||||
bdd operator||(bdd const& other);
|
||||
~bdd() { m->dec_ref(root); }
|
||||
bdd lo() const { return bdd(m->lo(root), m); }
|
||||
bdd hi() const { return bdd(m->hi(root), m); }
|
||||
unsigned var() const { return m->var(root); }
|
||||
|
||||
bool is_true() const { return root == bdd_manager::true_bdd; }
|
||||
bool is_false() const { return root == bdd_manager::false_bdd; }
|
||||
|
||||
bdd operator!() { return m->mk_not(*this); }
|
||||
bdd operator&&(bdd const& other) { return m->mk_and(*this, other); }
|
||||
bdd operator||(bdd const& other) { return m->mk_or(*this, other); }
|
||||
bdd operator^(bdd const& other) { return m->mk_xor(*this, other); }
|
||||
bdd operator|=(bdd const& other) { return *this = *this || other; }
|
||||
bdd operator&=(bdd const& other) { return *this = *this && other; }
|
||||
std::ostream& display(std::ostream& out) const;
|
||||
std::ostream& display(std::ostream& out) const { return m->display(out, *this); }
|
||||
bool operator==(bdd const& other) const { return root == other.root; }
|
||||
bool operator!=(bdd const& other) const { return root != other.root; }
|
||||
double cnf_size() const;
|
||||
double dnf_size() const;
|
||||
double cnf_size() const { return m->cnf_size(*this); }
|
||||
double dnf_size() const { return m->dnf_size(*this); }
|
||||
unsigned bdd_size() const { return m->bdd_size(*this); }
|
||||
};
|
||||
|
||||
std::ostream& operator<<(std::ostream& out, bdd const& b);
|
||||
|
|
|
@ -57,10 +57,26 @@ namespace sat {
|
|||
c2 = m.mk_exists(2, c1);
|
||||
SASSERT(c2 == ((v0 && v1) || v1 || !v0));
|
||||
}
|
||||
|
||||
void test4() {
|
||||
bdd_manager m(3);
|
||||
bdd v0 = m.mk_var(0);
|
||||
bdd v1 = m.mk_var(1);
|
||||
bdd v2 = m.mk_var(2);
|
||||
bdd c1 = (v0 && v2) || v1;
|
||||
std::cout << "before reorder:\n";
|
||||
std::cout << c1 << "\n";
|
||||
std::cout << c1.bdd_size() << "\n";
|
||||
m.try_reorder();
|
||||
std::cout << "after reorder:\n";
|
||||
std::cout << c1 << "\n";
|
||||
std::cout << c1.bdd_size() << "\n";
|
||||
}
|
||||
}
|
||||
|
||||
void tst_bdd() {
|
||||
sat::test1();
|
||||
sat::test2();
|
||||
sat::test3();
|
||||
sat::test4();
|
||||
}
|
||||
|
|
Loading…
Reference in a new issue