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Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Nikolaj Bjorner 2019-12-18 17:03:56 -08:00
parent 1287572f4f
commit 27b69cf280
2 changed files with 77 additions and 31 deletions

View file

@ -30,12 +30,14 @@ namespace dd {
alloc_free_nodes(1024 + num_vars);
m_disable_gc = false;
m_is_new_node = false;
m_mod2_semantics = false;
// add dummy nodes for operations, and 0, 1 pdds.
imk_val(rational::zero()); // becomes pdd_zero
imk_val(rational::one()); // becomes pdd_one
const_info info;
init_value(info, rational::zero()); // becomes pdd_zero
init_value(info, rational::one()); // becomes pdd_one
for (unsigned i = 2; i <= pdd_no_op + 2; ++i) {
m_nodes.push_back(pdd_node(0,0,0,0));
m_nodes.push_back(pdd_node(0,0,0));
m_nodes.back().m_refcount = max_rc;
m_nodes.back().m_index = m_nodes.size()-1;
}
@ -105,7 +107,7 @@ namespace dd {
case pdd_add_op:
if (is_zero(a)) return b;
if (is_zero(b)) return a;
if (is_val(a) && is_val(b)) return imk_val(val(a) + val(b));
if (is_val(a) && is_val(b)) return imk_val(m_mod2_semantics ? ((val(a) + val(b)) % rational(2)) : val(a) + val(b));
if (level(a) < level(b)) std::swap(a, b);
break;
case pdd_mul_op:
@ -176,15 +178,23 @@ namespace dd {
}
else if (level_a == level_b) {
// (xa+b)*(xc+d) = x(x*ac + (ad+bc)) + bd
// (xa+b)*(xc+d) mod2 == x(ac+bc+ad) + bd
push(apply_rec(hi(a), hi(b), op));
push(apply_rec(hi(a), lo(b), op));
push(apply_rec(lo(a), hi(b), op));
push(apply_rec(lo(a), lo(b), op));
unsigned ac = read(4), ad = read(3), bc = read(2), bd = read(1);
push(apply_rec(ad, bc, pdd_add_op));
r = make_node(level_a, read(1), ac);
r = make_node(level_a, bd, r);
npop = 5;
if (m_mod2_semantics) {
push(apply_rec(read(1), ac, pdd_add_op));
r = make_node(level_a, bd, read(1));
npop = 6;
}
else {
r = make_node(level_a, read(1), ac);
r = make_node(level_a, bd, r);
npop = 5;
}
}
else {
// (xa+b)*c = x(ac) + bc
@ -218,6 +228,9 @@ namespace dd {
}
pdd pdd_manager::minus(pdd const& a) {
if (m_mod2_semantics) {
return a;
}
bool first = true;
SASSERT(well_formed());
scoped_push _sp(*this);
@ -285,7 +298,8 @@ namespace dd {
SASSERT(is_val(p) || !is_val(q));
if (is_val(p)) {
if (is_val(q)) {
return imk_val(-val(q)/val(p));
SASSERT(!val(p).is_zero());
return m_mod2_semantics ? imk_val(val(q)) : imk_val(-val(q)/val(p));
}
}
else if (level(p) == level(q)) {
@ -304,10 +318,12 @@ namespace dd {
}
pdd pdd_manager::spoly(pdd const& a, pdd const& b, unsigned_vector const& p, unsigned_vector const& q, rational const& pc, rational const& qc) {
pdd r1 = mul(qc, a);
pdd r1 = mk_val(qc);
for (unsigned i = q.size(); i-- > 0; ) r1 = mul(mk_var(q[i]), r1);
pdd r2 = mul(-pc, b);
r1 = mul(a, r1);
pdd r2 = mk_val(m_mod2_semantics ? pc : -pc);
for (unsigned i = p.size(); i-- > 0; ) r2 = mul(mk_var(p[i]), r2);
r2 = mul(b, r2);
return add(r1, r2);
}
@ -385,14 +401,11 @@ namespace dd {
y = hi(y);
}
else {
return false;
return true;
}
}
}
double pdd_manager::tree_size(pdd const& p) const { return tree_size(p.root); }
void pdd_manager::push(PDD b) {
m_pdd_stack.push_back(b);
}
@ -428,24 +441,30 @@ namespace dd {
}
pdd_manager::PDD pdd_manager::imk_val(rational const& r) {
if (r.is_zero()) return zero_pdd;
if (r.is_one()) return one_pdd;
const_info info;
if (!m_mpq_table.find(r, info)) {
pdd_node n(m_values.size());
info.m_value_index = m_values.size();
info.m_node_index = insert_node(n);
m_mpq_table.insert(r, info);
m_values.push_back(r);
m_nodes[info.m_node_index].m_refcount = max_rc;
init_value(info, r);
}
return info.m_node_index;
}
void pdd_manager::init_value(const_info& info, rational const& r) {
pdd_node n(m_values.size());
info.m_value_index = m_values.size();
info.m_node_index = insert_node(n);
m_mpq_table.insert(r, info);
m_values.push_back(r);
m_nodes[info.m_node_index].m_refcount = max_rc;
}
pdd_manager::PDD pdd_manager::make_node(unsigned lvl, PDD l, PDD h) {
m_is_new_node = false;
if (is_zero(h)) return l;
SASSERT(is_val(l) || level(l) < lvl);
SASSERT(is_val(h) || level(h) <= lvl);
pdd_node n(lvl, l, h, tree_size(l) + tree_size(h) + 1);
pdd_node n(lvl, l, h);
return insert_node(n);
}
@ -557,6 +576,33 @@ namespace dd {
return m_degree[b.root];
}
double pdd_manager::tree_size(pdd const& p) {
init_mark();
m_tree_size.reserve(m_nodes.size());
m_todo.push_back(p.root);
while (!m_todo.empty()) {
PDD r = m_todo.back();
if (is_marked(r)) {
m_todo.pop_back();
}
else if (is_val(r)) {
m_tree_size[r] = 1;
set_mark(r);
}
else if (!is_marked(lo(r)) || !is_marked(hi(r))) {
m_todo.push_back(lo(r));
m_todo.push_back(hi(r));
}
else {
m_tree_size[r] = 1 + m_tree_size[lo(r)] + m_tree_size[hi(r)];
set_mark(r);
}
}
return m_tree_size[p.root];
}
void pdd_manager::alloc_free_nodes(unsigned n) {
for (unsigned i = 0; i < n; ++i) {
m_free_nodes.push_back(m_nodes.size());