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fix pdd_stack for gc on reduce, add unit test for linear_simplify

Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Nikolaj Bjorner 2019-12-25 11:05:59 -08:00
parent 78feac4465
commit 5a68fc8c07
5 changed files with 333 additions and 100 deletions

View file

@ -25,24 +25,24 @@ namespace dd {
pdd_manager::pdd_manager(unsigned num_vars) {
m_spare_entry = nullptr;
m_max_num_pdd_nodes = 1 << 24; // up to 16M nodes
m_max_num_nodes = 1 << 24; // up to 16M nodes
m_mark_level = 0;
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.
const_info info;
init_value(info, rational::zero()); // becomes pdd_zero
init_value(info, rational::one()); // becomes pdd_one
m_nodes[0].m_refcount = max_rc;
m_nodes[1].m_refcount = max_rc;
for (unsigned i = 2; i <= pdd_no_op + 2; ++i) {
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;
for (unsigned i = 0; i < pdd_no_op; ++i) {
m_nodes.push_back(node());
m_nodes[i].m_refcount = max_rc;
m_nodes[i].m_index = i;
}
init_value(rational::zero(), 0);
init_value(rational::one(), 1);
SASSERT(is_val(0));
SASSERT(is_val(1));
alloc_free_nodes(1024 + num_vars);
// add variables
for (unsigned i = 0; i < num_vars; ++i) {
@ -70,6 +70,8 @@ namespace dd {
pdd pdd_manager::zero() { return pdd(zero_pdd, this); }
pdd pdd_manager::one() { return pdd(one_pdd, this); }
pdd pdd_manager::mk_or(pdd const& p, pdd const& q) { return p*q + p + q; }
pdd_manager::PDD pdd_manager::apply(PDD arg1, PDD arg2, pdd_op op) {
bool first = true;
SASSERT(well_formed());
@ -284,11 +286,16 @@ namespace dd {
// q = lt(a)/lt(b), return a - b*q
pdd_manager::PDD pdd_manager::reduce_on_match(PDD a, PDD b) {
SASSERT(level(a) == level(b) && !is_val(a) && !is_val(b));
while (lm_divides(b, a)) {
PDD q = lt_quotient(b, a);
PDD r = apply(q, b, pdd_mul_op);
a = apply(a, r, pdd_add_op);
push(a);
while (lm_divides(b, a)) {
push(lt_quotient(b, a));
push(apply_rec(read(1), b, pdd_mul_op));
push(apply_rec(a, read(1), pdd_add_op));
a = read(1);
pop(4);
push(a);
}
pop(1);
return a;
}
@ -315,13 +322,16 @@ namespace dd {
if (is_val(p)) {
if (is_val(q)) {
SASSERT(!val(p).is_zero());
return imk_val(-val(q)/val(p));
}
}
return imk_val(-val(q) / val(p));
}
}
else if (level(p) == level(q)) {
return lt_quotient(hi(p), hi(q));
}
return apply(m_var2pdd[var(q)], lt_quotient(p, hi(q)), pdd_mul_op);
push(lt_quotient(p, hi(q)));
PDD r = apply_rec(m_var2pdd[var(q)], read(1), pdd_mul_op);
pop(1);
return r;
}
//
@ -335,12 +345,10 @@ 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 = mk_val(qc);
for (unsigned i = q.size(); i-- > 0; ) r1 = mul(mk_var(q[i]), r1);
r1 = mul(a, r1);
for (unsigned i = q.size(); i-- > 0; ) r1 *= mk_var(q[i]);
pdd r2 = mk_val(-pc);
for (unsigned i = p.size(); i-- > 0; ) r2 = mul(mk_var(p[i]), r2);
r2 = mul(b, r2);
return add(r1, r2);
for (unsigned i = p.size(); i-- > 0; ) r2 *= mk_var(p[i]);
return (r1*a) + (r2*b);
}
bool pdd_manager::common_factors(pdd const& a, pdd const& b, unsigned_vector& p, unsigned_vector& q, rational& pc, rational& qc) {
@ -502,22 +510,32 @@ namespace dd {
}
m_freeze_value = r;
pdd_node n(vi);
node n(vi);
info.m_value_index = vi;
info.m_node_index = insert_node(n);
m_mpq_table.insert(r, info);
}
void pdd_manager::init_value(rational const& v, unsigned node_index) {
const_info info;
m_nodes[node_index].m_hi = 0;
m_nodes[node_index].m_lo = node_index;
info.m_value_index = m_values.size();
info.m_node_index = node_index;
m_mpq_table.insert(v, info);
m_values.push_back(v);
}
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);
node n(lvl, l, h);
return insert_node(n);
}
pdd_manager::PDD pdd_manager::insert_node(pdd_node const& n) {
pdd_manager::PDD pdd_manager::insert_node(node const& n) {
node_table::entry* e = m_node_table.insert_if_not_there2(n);
if (e->get_data().m_index != 0) {
unsigned result = e->get_data().m_index;
@ -528,12 +546,11 @@ namespace dd {
bool do_gc = m_free_nodes.empty();
if (do_gc && !m_disable_gc) {
gc();
SASSERT(n.m_hi == 0 || (!m_free_nodes.contains(n.m_hi) && !m_free_nodes.contains(n.m_lo)));
e = m_node_table.insert_if_not_there2(n);
e->get_data().m_refcount = 0;
}
if (do_gc) {
if (m_nodes.size() > m_max_num_pdd_nodes) {
if (m_nodes.size() > m_max_num_nodes) {
throw mem_out();
}
alloc_free_nodes(m_nodes.size()/2);
@ -686,22 +703,28 @@ namespace dd {
void pdd_manager::alloc_free_nodes(unsigned n) {
for (unsigned i = 0; i < n; ++i) {
m_free_nodes.push_back(m_nodes.size());
m_nodes.push_back(pdd_node());
m_nodes.push_back(node());
m_nodes.back().m_index = m_nodes.size() - 1;
}
std::sort(m_free_nodes.begin(), m_free_nodes.end());
m_free_nodes.reverse();
}
void pdd_manager::gc() {
m_free_nodes.reset();
SASSERT(well_formed());
IF_VERBOSE(13, verbose_stream() << "(pdd :gc " << m_nodes.size() << ")\n";);
bool pdd_manager::is_reachable(PDD p) {
svector<bool> reachable(m_nodes.size(), false);
compute_reachable(reachable);
return reachable[p];
}
void pdd_manager::compute_reachable(svector<bool>& reachable) {
for (unsigned i = m_pdd_stack.size(); i-- > 0; ) {
reachable[m_pdd_stack[i]] = true;
m_todo.push_back(m_pdd_stack[i]);
}
for (unsigned i = m_nodes.size(); i-- > 2; ) {
for (unsigned i = pdd_no_op; i-- > 0; ) {
reachable[i] = true;
}
for (unsigned i = m_nodes.size(); i-- > pdd_no_op; ) {
if (m_nodes[i].m_refcount > 0) {
reachable[i] = true;
m_todo.push_back(i);
@ -711,7 +734,9 @@ namespace dd {
PDD p = m_todo.back();
m_todo.pop_back();
SASSERT(reachable[p]);
if (is_val(p)) continue;
if (is_val(p)) {
continue;
}
if (!reachable[lo(p)]) {
reachable[lo(p)] = true;
m_todo.push_back(lo(p));
@ -721,7 +746,15 @@ namespace dd {
m_todo.push_back(hi(p));
}
}
for (unsigned i = m_nodes.size(); i-- > 2; ) {
}
void pdd_manager::gc() {
m_free_nodes.reset();
SASSERT(well_formed());
IF_VERBOSE(13, verbose_stream() << "(pdd :gc " << m_nodes.size() << ")\n";);
svector<bool> reachable(m_nodes.size(), false);
compute_reachable(reachable);
for (unsigned i = m_nodes.size(); i-- > pdd_no_op; ) {
if (!reachable[i]) {
if (is_val(i)) {
if (m_freeze_value == val(i)) continue;
@ -835,7 +868,7 @@ namespace dd {
return false;
}
}
for (pdd_node const& n : m_nodes) {
for (node const& n : m_nodes) {
if (!well_formed(n)) {
IF_VERBOSE(0, display(verbose_stream() << n.m_index << " lo " << n.m_lo << " hi " << n.m_hi << "\n"););
UNREACHABLE();
@ -845,7 +878,7 @@ namespace dd {
return ok;
}
bool pdd_manager::well_formed(pdd_node const& n) {
bool pdd_manager::well_formed(node const& n) {
PDD lo = n.m_lo;
PDD hi = n.m_hi;
if (n.is_internal() || hi == 0) return true;
@ -856,7 +889,7 @@ namespace dd {
std::ostream& pdd_manager::display(std::ostream& out) {
for (unsigned i = 0; i < m_nodes.size(); ++i) {
pdd_node const& n = m_nodes[i];
node const& n = m_nodes[i];
if (i != 0 && n.is_internal()) {
continue;
}
@ -870,7 +903,14 @@ namespace dd {
return out;
}
pdd& pdd::operator=(pdd const& other) { unsigned r1 = root; root = other.root; m->inc_ref(root); m->dec_ref(r1); return *this; }
pdd& pdd::operator=(pdd const& other) {
unsigned r1 = root;
root = other.root;
m.inc_ref(root);
m.dec_ref(r1);
return *this;
}
std::ostream& operator<<(std::ostream& out, pdd const& b) { return b.display(out); }
}

View file

@ -58,15 +58,15 @@ namespace dd {
pdd_no_op = 6
};
struct pdd_node {
pdd_node(unsigned level, PDD lo, PDD hi):
struct node {
node(unsigned level, PDD lo, PDD hi):
m_refcount(0),
m_level(level),
m_lo(lo),
m_hi(hi),
m_index(0)
{}
pdd_node(unsigned value):
node(unsigned value):
m_refcount(0),
m_level(0),
m_lo(value),
@ -74,28 +74,29 @@ namespace dd {
m_index(0)
{}
pdd_node(): m_refcount(0), m_level(0), m_lo(0), m_hi(0), m_index(0) {}
node(): m_refcount(0), m_level(0), m_lo(0), m_hi(0), m_index(0) {}
unsigned m_refcount : 10;
unsigned m_level : 22;
PDD m_lo;
PDD m_hi;
unsigned m_index;
unsigned hash() const { return mk_mix(m_level, m_lo, m_hi); }
bool is_internal() const { return m_lo == 0 && m_hi == 0; }
bool is_val() const { return m_hi == 0 && (m_lo != 0 || m_index == 0); }
bool is_internal() const { return m_hi == 0 && m_lo == 0 && m_index != 0; }
void set_internal() { m_lo = 0; m_hi = 0; }
};
struct hash_node {
unsigned operator()(pdd_node const& n) const { return n.hash(); }
unsigned operator()(node const& n) const { return n.hash(); }
};
struct eq_node {
bool operator()(pdd_node const& a, pdd_node const& b) const {
bool operator()(node const& a, node const& b) const {
return a.m_lo == b.m_lo && a.m_hi == b.m_hi && a.m_level == b.m_level;
}
};
typedef hashtable<pdd_node, hash_node, eq_node> node_table;
typedef hashtable<node, hash_node, eq_node> node_table;
struct const_info {
unsigned m_value_index;
@ -131,7 +132,7 @@ namespace dd {
typedef ptr_hashtable<op_entry, hash_entry, eq_entry> op_table;
svector<pdd_node> m_nodes;
svector<node> m_nodes;
vector<rational> m_values;
op_table m_op_cache;
node_table m_node_table;
@ -149,14 +150,14 @@ namespace dd {
mutable svector<double> m_tree_size;
bool m_disable_gc;
bool m_is_new_node;
unsigned m_max_num_pdd_nodes;
unsigned m_max_num_nodes;
bool m_mod2_semantics;
unsigned_vector m_free_vars;
unsigned_vector m_free_values;
rational m_freeze_value;
PDD make_node(unsigned level, PDD l, PDD r);
PDD insert_node(pdd_node const& n);
PDD insert_node(node const& n);
bool is_new_node() const { return m_is_new_node; }
PDD apply(PDD arg1, PDD arg2, pdd_op op);
@ -169,6 +170,7 @@ namespace dd {
PDD imk_val(rational const& r);
void init_value(const_info& info, rational const& r);
void init_value(rational const& v, unsigned r);
void push(PDD b);
void pop(unsigned num_scopes);
@ -185,25 +187,28 @@ namespace dd {
static const unsigned max_rc = (1 << 10) - 1;
inline bool is_zero(PDD b) const { return b == zero_pdd; }
inline bool is_one(PDD b) const { return b == one_pdd; }
inline bool is_val(PDD b) const { return hi(b) == 0; }
inline unsigned level(PDD b) const { return m_nodes[b].m_level; }
inline unsigned var(PDD b) const { return m_level2var[level(b)]; }
inline PDD lo(PDD b) const { return m_nodes[b].m_lo; }
inline PDD hi(PDD b) const { return m_nodes[b].m_hi; }
inline rational const& val(PDD b) const { SASSERT(is_val(b)); return m_values[lo(b)]; }
inline void inc_ref(PDD b) { if (m_nodes[b].m_refcount != max_rc) m_nodes[b].m_refcount++; SASSERT(!m_free_nodes.contains(b)); }
inline void dec_ref(PDD b) { if (m_nodes[b].m_refcount != max_rc) m_nodes[b].m_refcount--; SASSERT(!m_free_nodes.contains(b)); }
inline bool is_zero(PDD p) const { return p == zero_pdd; }
inline bool is_one(PDD p) const { return p == one_pdd; }
inline bool is_val(PDD p) const { return m_nodes[p].is_val(); }
inline bool is_internal(PDD p) const { return m_nodes[p].is_internal(); }
inline unsigned level(PDD p) const { return m_nodes[p].m_level; }
inline unsigned var(PDD p) const { return m_level2var[level(p)]; }
inline PDD lo(PDD p) const { return m_nodes[p].m_lo; }
inline PDD hi(PDD p) const { return m_nodes[p].m_hi; }
inline rational const& val(PDD p) const { SASSERT(is_val(p)); return m_values[lo(p)]; }
inline void inc_ref(PDD p) { if (m_nodes[p].m_refcount != max_rc) m_nodes[p].m_refcount++; SASSERT(!m_free_nodes.contains(p)); }
inline void dec_ref(PDD p) { if (m_nodes[p].m_refcount != max_rc) m_nodes[p].m_refcount--; SASSERT(!m_free_nodes.contains(p)); }
inline PDD level2pdd(unsigned l) const { return m_var2pdd[m_level2var[l]]; }
unsigned dag_size(pdd const& b);
unsigned dag_size(pdd const& p);
unsigned degree(pdd const& p);
bool is_reachable(PDD p);
void compute_reachable(svector<bool>& reachable);
void try_gc();
void reserve_var(unsigned v);
bool well_formed();
bool well_formed(pdd_node const& n);
bool well_formed(node const& n);
unsigned_vector m_p, m_q;
rational m_pc, m_qc;
@ -227,7 +232,7 @@ namespace dd {
~pdd_manager();
void set_mod2_semantics() { m_mod2_semantics = true; }
void set_max_num_nodes(unsigned n) { m_max_num_pdd_nodes = n; }
void set_max_num_nodes(unsigned n) { m_max_num_nodes = n; }
void set_level2var(unsigned_vector const& level2var);
unsigned_vector const& get_level2var() const { return m_level2var; }
@ -241,6 +246,7 @@ namespace dd {
pdd sub(pdd const& a, pdd const& b);
pdd mul(pdd const& a, pdd const& b);
pdd mul(rational const& c, pdd const& b);
pdd mk_or(pdd const& p, pdd const& q);
pdd reduce(pdd const& a, pdd const& b);
bool is_linear(PDD p);
@ -264,38 +270,40 @@ namespace dd {
class pdd {
friend class pdd_manager;
unsigned root;
pdd_manager* m;
pdd(unsigned root, pdd_manager* m): root(root), m(m) { m->inc_ref(root); }
pdd_manager& m;
pdd(unsigned root, pdd_manager& m): root(root), m(m) { m.inc_ref(root); }
pdd(unsigned root, pdd_manager* _m): root(root), m(*_m) { m.inc_ref(root); }
public:
pdd(pdd_manager& pm): root(0), m(&pm) { SASSERT(is_zero()); }
pdd(pdd const& other): root(other.root), m(other.m) { m->inc_ref(root); }
pdd(pdd_manager& pm): root(0), m(pm) { SASSERT(is_zero()); }
pdd(pdd const& other): root(other.root), m(other.m) { m.inc_ref(root); }
pdd(pdd && other): root(0), m(other.m) { std::swap(root, other.root); }
pdd& operator=(pdd const& other);
~pdd() { m->dec_ref(root); }
pdd lo() const { return pdd(m->lo(root), m); }
pdd hi() const { return pdd(m->hi(root), m); }
unsigned var() const { return m->var(root); }
rational const& val() const { SASSERT(is_val()); return m->val(root); }
bool is_val() const { return m->is_val(root); }
bool is_zero() const { return m->is_zero(root); }
bool is_linear() const { return m->is_linear(root); }
~pdd() { m.dec_ref(root); }
pdd lo() const { return pdd(m.lo(root), m); }
pdd hi() const { return pdd(m.hi(root), m); }
unsigned var() const { return m.var(root); }
rational const& val() const { SASSERT(is_val()); return m.val(root); }
bool is_val() const { return m.is_val(root); }
bool is_zero() const { return m.is_zero(root); }
bool is_linear() const { return m.is_linear(root); }
pdd operator+(pdd const& other) const { return m->add(*this, other); }
pdd operator-(pdd const& other) const { return m->sub(*this, other); }
pdd operator*(pdd const& other) const { return m->mul(*this, other); }
pdd operator*(rational const& other) const { return m->mul(other, *this); }
pdd operator+(rational const& other) const { return m->add(other, *this); }
pdd reduce(pdd const& other) const { return m->reduce(*this, other); }
bool different_leading_term(pdd const& other) const { return m->different_leading_term(*this, other); }
pdd operator+(pdd const& other) const { return m.add(*this, other); }
pdd operator-(pdd const& other) const { return m.sub(*this, other); }
pdd operator*(pdd const& other) const { return m.mul(*this, other); }
pdd operator*(rational const& other) const { return m.mul(other, *this); }
pdd operator+(rational const& other) const { return m.add(other, *this); }
pdd operator|(pdd const& other) const { return m.mk_or(*this, other); }
pdd reduce(pdd const& other) const { return m.reduce(*this, other); }
bool different_leading_term(pdd const& other) const { return m.different_leading_term(*this, other); }
std::ostream& display(std::ostream& out) const { return m->display(out, *this); }
std::ostream& display(std::ostream& out) const { return m.display(out, *this); }
bool operator==(pdd const& other) const { return root == other.root; }
bool operator!=(pdd const& other) const { return root != other.root; }
bool operator<(pdd const& b) const { return m->lt(*this, b); }
bool operator<(pdd const& b) const { return m.lt(*this, b); }
unsigned dag_size() const { return m->dag_size(*this); }
double tree_size() const { return m->tree_size(*this); }
unsigned degree() const { return m->degree(*this); }
unsigned dag_size() const { return m.dag_size(*this); }
double tree_size() const { return m.tree_size(*this); }
unsigned degree() const { return m.degree(*this); }
};
inline pdd operator*(rational const& r, pdd const& b) { return b * r; }
@ -307,6 +315,8 @@ namespace dd {
inline pdd operator+(pdd const& b, int x) { return b + rational(x); }
inline pdd operator-(pdd const& b, int x) { return b + (-rational(x)); }
inline pdd& operator*=(pdd & p, pdd const& q) { p = p * q; return p; }
inline pdd& operator|=(pdd & p, pdd const& q) { p = p | q; return p; }
std::ostream& operator<<(std::ostream& out, pdd const& b);

View file

@ -143,7 +143,10 @@ namespace dd {
}
bool grobner::basic_step() {
equation* e = pick_next();
return basic_step(pick_next());
}
bool grobner::basic_step(equation* e) {
if (!e) return false;
scoped_detach sd(*this, e);
equation& eq = *e;
@ -164,13 +167,89 @@ namespace dd {
eq = curr;
}
}
if (eq) pop_equation(eq->idx(), m_to_simplify);
if (eq) pop_equation(eq, m_to_simplify);
return eq;
}
grobner::equation* grobner::pick_linear() {
equation* eq = nullptr;
for (auto* curr : m_to_simplify) {
if (!eq || curr->poly().is_linear() && is_simpler(*curr, *eq)) {
eq = curr;
}
}
if (eq) pop_equation(eq, m_to_simplify);
return eq;
}
void grobner::simplify_linear() {
try {
while (simplify_linear_step()) {
DEBUG_CODE(invariant(););
}
}
catch (pdd_manager::mem_out) {
// done reduce
}
}
struct grobner::compare_top_var {
bool operator()(equation* a, equation* b) const {
return a->poly().var() < b->poly().var();
}
};
bool grobner::simplify_linear_step() {
equation_vector linear;
for (equation* e : m_to_simplify) {
if (e->poly().is_linear()) {
linear.push_back(e);
}
}
if (linear.empty()) return false;
std::cout << "linear eqs: " << linear.size() << "\n";
vector<equation_vector> use_list;
for (equation * e : m_to_simplify) {
add_to_use(e, use_list);
}
for (equation * e : m_processed) {
add_to_use(e, use_list);
}
compare_top_var ctv;
std::stable_sort(linear.begin(), linear.end(), ctv);
for (equation* src : linear) {
equation_vector const& uses = use_list[src->poly().var()];
bool changed_leading_term;
for (equation* dst : uses) {
if (src == dst || !simplify_source_target(*src, *dst, changed_leading_term)) {
continue;
}
if (dst->is_processed() && changed_leading_term) {
dst->set_processed(false);
pop_equation(dst, m_processed);
push_equation(src, m_to_simplify);
}
}
}
for (equation* src : linear) {
pop_equation(src, m_to_simplify);
push_equation(src, m_processed);
src->set_processed(true);
}
return true;
}
void grobner::add_to_use(equation* e, vector<equation_vector>& use_list) {
unsigned_vector const& fv = m.free_vars(e->poly());
for (unsigned v : fv) {
use_list.reserve(v + 1);
use_list[v].push_back(e);
}
}
void grobner::superpose(equation const & eq) {
for (equation* target : m_processed) {
retire(target);
superpose(eq, *target);
}
}
@ -343,7 +422,7 @@ namespace dd {
}
}
if (eq) {
pop_equation(eq->idx(), m_to_simplify);
pop_equation(eq, m_to_simplify);
m_watch[eq->poly().var()].erase(eq);
return eq;
}
@ -390,11 +469,12 @@ namespace dd {
}
void grobner::del_equation(equation& eq) {
pop_equation(eq.idx(), eq.is_processed() ? m_processed : m_to_simplify);
pop_equation(eq, eq.is_processed() ? m_processed : m_to_simplify);
retire(&eq);
}
void grobner::pop_equation(unsigned idx, equation_vector& v) {
void grobner::pop_equation(equation& eq, equation_vector& v) {
unsigned idx = eq.idx();
if (idx != v.size() - 1) {
equation* eq2 = v.back();
eq2->set_index(idx);

View file

@ -99,6 +99,7 @@ public:
void add(pdd const& p) { add(p, nullptr); }
void add(pdd const& p, u_dependency * dep);
void simplify_linear();
void saturate();
equation_vector const& equations();
@ -111,7 +112,9 @@ public:
private:
bool step();
bool basic_step();
bool basic_step(equation* e);
equation* pick_next();
equation* pick_linear();
bool canceled();
bool done();
void superpose(equation const& eq1, equation const& eq2);
@ -128,7 +131,6 @@ private:
bool is_too_complex(const equation& eq) const { return is_too_complex(eq.poly()); }
bool is_too_complex(const pdd& p) const { return p.tree_size() > m_config.m_expr_size_limit; }
// tuned implementation
vector<equation_vector> m_watch; // watch list mapping variables to vector of equations where they occur (generally a subset)
unsigned m_levelp1; // index into level+1
@ -142,11 +144,16 @@ private:
void add_to_watch(equation& eq);
void del_equation(equation& eq);
void retire(equation* eq) {
dealloc(eq);
}
void pop_equation(unsigned idx, equation_vector& v);
void retire(equation* eq) { dealloc(eq); }
void pop_equation(equation& eq, equation_vector& v);
void pop_equation(equation* eq, equation_vector& v) { pop_equation(*eq, v); }
void push_equation(equation& eq, equation_vector& v);
void push_equation(equation* eq, equation_vector& v) { push_equation(*eq, v); }
struct compare_top_var;
bool simplify_linear_step();
void add_to_use(equation* e, vector<equation_vector>& use_list);
void invariant() const;
struct scoped_detach {