mirror of
https://github.com/Z3Prover/z3
synced 2025-04-13 20:38:43 +00:00
rewrite horner scheme on top of nex_expr as a pointer
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
This commit is contained in:
Lev Nachmanson
parent
5428d0bb0f
commit
9266ab7ed1
|
|
@ -41,9 +41,8 @@ class cross_nested {
|
|||
bool m_done;
|
||||
std::unordered_map<lpvar, occ> m_occurences_map;
|
||||
std::unordered_map<lpvar, unsigned> m_powers;
|
||||
vector<nex*> m_allocated;
|
||||
vector<nex*> m_b_vec;
|
||||
vector<nex*> m_b_split_vec;
|
||||
ptr_vector<nex> m_allocated;
|
||||
ptr_vector<nex> m_b_split_vec;
|
||||
public:
|
||||
cross_nested(std::function<bool (const nex*)> call_on_result,
|
||||
std::function<bool (unsigned)> var_is_fixed):
|
||||
|
|
@ -56,7 +55,7 @@ public:
|
|||
m_e = e;
|
||||
|
||||
vector<nex**> front;
|
||||
explore_expr_on_front_elem(m_e, front);
|
||||
explore_expr_on_front_elem(&m_e, front);
|
||||
}
|
||||
|
||||
static nex** pop_front(vector<nex**>& front) {
|
||||
|
|
@ -80,20 +79,21 @@ public:
|
|||
add_children(r, es ...);
|
||||
}
|
||||
|
||||
nex_sum* mk_sum(const vector<nex*>& v) {
|
||||
nex_sum* mk_sum(const ptr_vector<nex>& v) {
|
||||
auto r = new nex_sum();
|
||||
m_allocated.push_back(r);
|
||||
r->children() = v;
|
||||
return r;
|
||||
}
|
||||
|
||||
nex_mul* mk_mul(const vector<nex*>& v) {
|
||||
nex_mul* mk_mul(const ptr_vector<nex>& v) {
|
||||
auto r = new nex_mul();
|
||||
m_allocated.push_back(r);
|
||||
r->children() = v;
|
||||
return r;
|
||||
}
|
||||
|
||||
|
||||
template <typename K, typename...Args>
|
||||
nex_sum* mk_sum(K e, Args... es) {
|
||||
auto r = new nex_sum();
|
||||
|
|
@ -134,27 +134,27 @@ public:
|
|||
SASSERT((a->is_mul() && a->contains(j)) || (a->is_var() && to_var(a)->var() == j));
|
||||
if (a->is_var())
|
||||
return mk_scalar(rational(1));
|
||||
m_b_vec.clear();
|
||||
ptr_vector<nex> bv;
|
||||
bool seenj = false;
|
||||
for (nex* c : to_mul(a)->children()) {
|
||||
if (!seenj) {
|
||||
if (c->contains(j)) {
|
||||
if (!c->is_var())
|
||||
m_b_vec.push_back(mk_div(c, j));
|
||||
bv.push_back(mk_div(c, j));
|
||||
seenj = true;
|
||||
continue;
|
||||
}
|
||||
}
|
||||
m_b_vec.push_back(c);
|
||||
bv.push_back(c);
|
||||
}
|
||||
if (m_b_vec.size() > 1) {
|
||||
return mk_mul(m_b_vec);
|
||||
if (bv.size() > 1) {
|
||||
return mk_mul(bv);
|
||||
}
|
||||
if (m_b_vec.size() == 1) {
|
||||
return m_b_vec[0];
|
||||
if (bv.size() == 1) {
|
||||
return bv[0];
|
||||
}
|
||||
|
||||
SASSERT(m_b_vec.size() == 0);
|
||||
SASSERT(bv.size() == 0);
|
||||
return mk_scalar(rational(1));
|
||||
}
|
||||
|
||||
|
|
@ -255,20 +255,20 @@ public:
|
|||
return false;
|
||||
}
|
||||
|
||||
bool proceed_with_common_factor(nex*& c, vector<nex**>& front, const vector<std::pair<lpvar, occ>> & occurences) {
|
||||
TRACE("nla_cn", tout << "c=" << *c << "\n";);
|
||||
nex* f = extract_common_factor(c, occurences);
|
||||
bool proceed_with_common_factor(nex** c, vector<nex**>& front, const vector<std::pair<lpvar, occ>> & occurences) {
|
||||
TRACE("nla_cn", tout << "c=" << **c << "\n";);
|
||||
nex* f = extract_common_factor(*c, occurences);
|
||||
if (f == nullptr) {
|
||||
TRACE("nla_cn", tout << "no common factor\n"; );
|
||||
return false;
|
||||
}
|
||||
|
||||
nex* c_over_f = mk_div(c, f);
|
||||
nex* c_over_f = mk_div(*c, f);
|
||||
to_sum(c_over_f)->simplify();
|
||||
c = mk_mul(f, c_over_f);
|
||||
TRACE("nla_cn", tout << "common factor=" << *f << ", c=" << *c << "\ne = " << *m_e << "\n";);
|
||||
*c = mk_mul(f, c_over_f);
|
||||
TRACE("nla_cn", tout << "common factor=" << *f << ", c=" << **c << "\ne = " << *m_e << "\n";);
|
||||
|
||||
explore_expr_on_front_elem(c_over_f, front);
|
||||
explore_expr_on_front_elem(&(*((*c)->children_ptr()))[1], front);
|
||||
return true;
|
||||
}
|
||||
|
||||
|
|
@ -290,11 +290,11 @@ public:
|
|||
*(front[i]) = copy[i];
|
||||
}
|
||||
|
||||
void explore_expr_on_front_elem_occs(nex* &c, vector<nex**>& front, const vector<std::pair<lpvar, occ>> & occurences) {
|
||||
void explore_expr_on_front_elem_occs(nex** c, vector<nex**>& front, const vector<std::pair<lpvar, occ>> & occurences) {
|
||||
if (proceed_with_common_factor(c, front, occurences))
|
||||
return;
|
||||
TRACE("nla_cn", tout << "save c=" << *c << "; front:"; print_front(front, tout) << "\n";);
|
||||
nex* copy_of_c = c;
|
||||
nex* copy_of_c = *c;
|
||||
auto copy_of_front = copy_front(front);
|
||||
for(auto& p : occurences) {
|
||||
SASSERT(p.second.m_occs > 1);
|
||||
|
|
@ -308,11 +308,11 @@ public:
|
|||
explore_of_expr_on_sum_and_var(c, j, front);
|
||||
if (m_done)
|
||||
return;
|
||||
TRACE("nla_cn", tout << "before restore c=" << *c << ", m_e=" << *m_e << "\n";);
|
||||
c = copy_of_c;
|
||||
TRACE("nla_cn", tout << "after restore c=" << *c << ", m_e=" << *m_e << "\n";);
|
||||
TRACE("nla_cn", tout << "before restore c=" << **c << ", m_e=" << *m_e << "\n";);
|
||||
*c = copy_of_c;
|
||||
TRACE("nla_cn", tout << "after restore c=" << **c << ", m_e=" << *m_e << "\n";);
|
||||
restore_front(copy_of_front, front);
|
||||
TRACE("nla_cn", tout << "restore c=" << *c << "\n";);
|
||||
TRACE("nla_cn", tout << "restore c=" << **c << "\n";);
|
||||
TRACE("nla_cn", tout << "m_e=" << *m_e << "\n";);
|
||||
}
|
||||
}
|
||||
|
|
@ -328,9 +328,9 @@ public:
|
|||
return out;
|
||||
}
|
||||
|
||||
void explore_expr_on_front_elem(nex*& c, vector<nex**>& front) {
|
||||
auto occurences = get_mult_occurences(to_sum(c));
|
||||
TRACE("nla_cn", tout << "m_e=" << *m_e << "\nc=" << *c << ", c occurences=";
|
||||
void explore_expr_on_front_elem(nex** c, vector<nex**>& front) {
|
||||
auto occurences = get_mult_occurences(to_sum(*c));
|
||||
TRACE("nla_cn", tout << "m_e=" << *m_e << "\nc=" << **c << ", c occurences=";
|
||||
dump_occurences(tout, occurences) << "; front:"; print_front(front, tout) << "\n";);
|
||||
|
||||
if (occurences.empty()) {
|
||||
|
|
@ -338,7 +338,7 @@ public:
|
|||
TRACE("nla_cn", tout << "got the cn form: =" << *m_e << "\n";);
|
||||
m_done = m_call_on_result(m_e);
|
||||
} else {
|
||||
nex* f = *pop_front(front);
|
||||
nex** f = pop_front(front);
|
||||
explore_expr_on_front_elem(f, front);
|
||||
}
|
||||
} else {
|
||||
|
|
@ -360,14 +360,14 @@ public:
|
|||
}
|
||||
// c is the sub expressiond which is going to be changed from sum to the cross nested form
|
||||
// front will be explored more
|
||||
void explore_of_expr_on_sum_and_var(nex*& c, lpvar j, vector<nex**> front) {
|
||||
TRACE("nla_cn", tout << "m_e=" << *m_e << "\nc=" << *c << "\nj = " << ch(j) << "\nfront="; print_front(front, tout) << "\n";);
|
||||
if (!split_with_var(c, j, front))
|
||||
void explore_of_expr_on_sum_and_var(nex** c, lpvar j, vector<nex**> front) {
|
||||
TRACE("nla_cn", tout << "m_e=" << *m_e << "\nc=" << **c << "\nj = " << ch(j) << "\nfront="; print_front(front, tout) << "\n";);
|
||||
if (!split_with_var(*c, j, front))
|
||||
return;
|
||||
TRACE("nla_cn", tout << "after split c=" << *c << "\nfront="; print_front(front, tout) << "\n";);
|
||||
TRACE("nla_cn", tout << "after split c=" << **c << "\nfront="; print_front(front, tout) << "\n";);
|
||||
SASSERT(front.size());
|
||||
auto n = pop_front(front);
|
||||
explore_expr_on_front_elem(*n, front);
|
||||
explore_expr_on_front_elem(n, front);
|
||||
}
|
||||
|
||||
void add_var_occs(lpvar j) {
|
||||
|
|
|
|||
|
|
@ -71,7 +71,11 @@ public:
|
|||
virtual bool contains(lpvar j) const { return false; }
|
||||
virtual int get_degree() const = 0;
|
||||
virtual void simplify() {}
|
||||
virtual const vector<nex*> * children_ptr() const {
|
||||
virtual const ptr_vector<nex> * children_ptr() const {
|
||||
UNREACHABLE();
|
||||
return nullptr;
|
||||
}
|
||||
virtual ptr_vector<nex> * children_ptr() {
|
||||
UNREACHABLE();
|
||||
return nullptr;
|
||||
}
|
||||
|
|
@ -112,8 +116,8 @@ public:
|
|||
|
||||
};
|
||||
|
||||
static void promote_children_by_type(vector<nex*> * children, expr_type t) {
|
||||
svector<nex*> to_promote;
|
||||
static void promote_children_by_type(ptr_vector<nex> * children, expr_type t) {
|
||||
ptr_vector<nex> to_promote;
|
||||
for(unsigned j = 0; j < children->size(); j++) {
|
||||
nex* e = (*children)[j];
|
||||
e->simplify();
|
||||
|
|
@ -125,24 +129,25 @@ static void promote_children_by_type(vector<nex*> * children, expr_type t) {
|
|||
(*children)[j - offset] = e;
|
||||
}
|
||||
}
|
||||
for (nex *e : to_promote) {
|
||||
for (nex *ee : *(e->children_ptr())) {
|
||||
children->push_back(ee);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
for (nex *e : to_promote) {
|
||||
for (nex *ee : *(e->children_ptr())) {
|
||||
children->push_back(ee);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
class nex_mul : public nex {
|
||||
vector<nex*> m_children;
|
||||
ptr_vector<nex> m_children;
|
||||
public:
|
||||
nex_mul() {}
|
||||
unsigned size() const { return m_children.size(); }
|
||||
expr_type type() const { return expr_type::MUL; }
|
||||
vector<nex*>& children() { return m_children;}
|
||||
const vector<nex*>& children() const { return m_children;}
|
||||
const vector<nex*>* children_ptr() const { return &m_children;}
|
||||
ptr_vector<nex>& children() { return m_children;}
|
||||
const ptr_vector<nex>& children() const { return m_children;}
|
||||
const ptr_vector<nex>* children_ptr() const { return &m_children;}
|
||||
ptr_vector<nex>* children_ptr() { return &m_children;}
|
||||
|
||||
std::ostream & print(std::ostream& out) const {
|
||||
bool first = true;
|
||||
|
|
@ -217,13 +222,14 @@ public:
|
|||
|
||||
|
||||
class nex_sum : public nex {
|
||||
vector<nex*> m_children;
|
||||
ptr_vector<nex> m_children;
|
||||
public:
|
||||
nex_sum() {}
|
||||
expr_type type() const { return expr_type::SUM; }
|
||||
vector<nex*>& children() { return m_children;}
|
||||
const vector<nex*>& children() const { return m_children;}
|
||||
const vector<nex*>* children_ptr() const { return &m_children;}
|
||||
ptr_vector<nex>& children() { return m_children;}
|
||||
const ptr_vector<nex>& children() const { return m_children;}
|
||||
const ptr_vector<nex>* children_ptr() const { return &m_children;}
|
||||
ptr_vector<nex>* children_ptr() { return &m_children;}
|
||||
unsigned size() const { return m_children.size(); }
|
||||
|
||||
// we need a linear combination of at least two variables
|
||||
|
|
|
|||
|
|
@ -101,8 +101,9 @@ void test_cn() {
|
|||
nex* eae = cn.mk_mul(e, a, e);
|
||||
nex* eac = cn.mk_mul(e, a, c);
|
||||
nex* ed = cn.mk_mul(e, d);
|
||||
|
||||
test_cn_on_expr(cn.mk_sum(aad, abcd, aaccd, add, eae, eac, ed), cn);
|
||||
nex* _6aad = cn.mk_mul(cn.mk_scalar(rational(6)), a, a, d);
|
||||
// test_cn_on_expr(cn.mk_sum(aad, abcd, aaccd, add, eae, eac, ed), cn);
|
||||
test_cn_on_expr(cn.mk_sum(_6aad, abcd, aaccd, add, eae, eac, ed), cn);
|
||||
// TRACE("nla_cn", tout << "done\n";);
|
||||
// test_cn_on_expr(a*b*d + a*b*c + c*b*d + a*c*d);
|
||||
// TRACE("nla_cn", tout << "done\n";);
|
||||
|
|
|
|||
Loading…
Reference in a new issue