mirror of
https://github.com/Z3Prover/z3
synced 2026-02-03 07:46:23 +00:00
debugging
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
parent
a199151f09
commit
4d4cb9bc0f
3 changed files with 96 additions and 149 deletions
|
|
@ -22,6 +22,7 @@
|
|||
#include "math/lp/nla_order_lemmas.h"
|
||||
#include "math/lp/nla_powers.h"
|
||||
#include "math/lp/nla_stellensatz.h"
|
||||
#include "math/lp/nla_stellensatz2.h"
|
||||
#include "math/lp/nla_tangent_lemmas.h"
|
||||
#include "math/lp/emonics.h"
|
||||
#include "math/lp/nex.h"
|
||||
|
|
@ -93,7 +94,7 @@ class core {
|
|||
divisions m_divisions;
|
||||
intervals m_intervals;
|
||||
monomial_bounds m_monomial_bounds;
|
||||
stellensatz m_stellensatz;
|
||||
stellensatz2 m_stellensatz;
|
||||
unsigned m_conflicts;
|
||||
bool m_check_feasible = false;
|
||||
horner m_horner;
|
||||
|
|
|
|||
|
|
@ -138,7 +138,6 @@ namespace nla {
|
|||
m_values.reset();
|
||||
init_vars();
|
||||
simplify();
|
||||
init_occurs();
|
||||
}
|
||||
|
||||
void stellensatz2::init_vars() {
|
||||
|
|
@ -289,9 +288,8 @@ namespace nla {
|
|||
m_justifications.push_back(j);
|
||||
m_constraint_index.insert({p.index(), k}, ci);
|
||||
push_bound(ci);
|
||||
push_constraint(ci);
|
||||
push_propagation(ci);
|
||||
++c().lp_settings().stats().m_stellensatz.m_num_constraints;
|
||||
m_has_occurs.reserve(ci + 1);
|
||||
return ci;
|
||||
}
|
||||
|
||||
|
|
@ -314,6 +312,7 @@ namespace nla {
|
|||
m_idx2bound[q.index()] = last_bound;
|
||||
m_idx2bound.pop_back();
|
||||
m_dm.pop_scope(1);
|
||||
m_bounds.pop_back();
|
||||
}
|
||||
|
||||
lp::constraint_index stellensatz2::resolve(lp::constraint_index conflict, lp::constraint_index ci) {
|
||||
|
|
@ -373,7 +372,8 @@ namespace nla {
|
|||
}
|
||||
|
||||
lp::constraint_index stellensatz2::resolve_variable(lpvar x, lp::constraint_index ci, lp::constraint_index other_ci) {
|
||||
TRACE(arith, tout << "resolve j" << x << " between ci " << (int)ci << " and other_ci " << (int)other_ci << "\n");
|
||||
TRACE(arith, tout << "resolve v" << x << "\n"; display_constraint(tout, ci);
|
||||
display_constraint(tout, other_ci));
|
||||
if (ci == lp::null_ci || other_ci == lp::null_ci)
|
||||
return lp::null_ci;
|
||||
auto f = factor(x, ci);
|
||||
|
|
@ -445,14 +445,12 @@ namespace nla {
|
|||
|
||||
++c().lp_settings().stats().m_stellensatz.m_num_resolutions;
|
||||
|
||||
TRACE(arith, tout << "eliminate j" << x << ":\n"; display_constraint(tout, ci) << "\n";
|
||||
display_constraint(tout, other_ci) << "\n"; display_constraint(tout, ci_a) << "\n";
|
||||
display_constraint(tout, ci_b) << "\n"; display_constraint(tout, new_ci) << "\n");
|
||||
TRACE(arith, tout << "eliminate j" << x << ":\n"; display_constraint(tout, ci);
|
||||
display_constraint(tout, other_ci); display_constraint(tout, ci_a);
|
||||
display_constraint(tout, ci_b); display_constraint(tout, new_ci));
|
||||
|
||||
new_ci = factor(new_ci);
|
||||
|
||||
init_occurs(new_ci);
|
||||
|
||||
// display_constraint(verbose_stream(), new_ci) << "\n";
|
||||
|
||||
return new_ci;
|
||||
|
|
@ -497,10 +495,9 @@ namespace nla {
|
|||
r = r * pddm.mk_var(x);
|
||||
p_is_0 = multiply(p_is_0, r);
|
||||
auto new_ci = add(ci, p_is_0);
|
||||
TRACE(arith, display_constraint(tout << "j" << x << " ", ci) << "\n";
|
||||
display_constraint(tout << "reduced ", new_ci) << "\n";
|
||||
display_constraint(tout, p_is_0) << "\n");
|
||||
init_occurs(new_ci);
|
||||
TRACE(arith, display_constraint(tout << "j" << x << " ", ci);
|
||||
display_constraint(tout << "reduced ", new_ci);
|
||||
display_constraint(tout, p_is_0));
|
||||
return new_ci;
|
||||
}
|
||||
|
||||
|
|
@ -550,9 +547,9 @@ namespace nla {
|
|||
if (val < 0)
|
||||
sign = -sign;
|
||||
new_ci = divide(new_ci, assume(pv, k1), sign * muls[i]);
|
||||
TRACE(arith_verbose, display_constraint(tout, new_ci) << "\n"; display_constraint(tout, assume(pv, k1)) << "\n";);
|
||||
TRACE(arith_verbose, display_constraint(tout, new_ci); display_constraint(tout, assume(pv, k1)););
|
||||
}
|
||||
TRACE(arith, display_constraint(tout << "factor ", new_ci) << "\n");
|
||||
TRACE(arith, display_constraint(tout << "factor ", new_ci));
|
||||
return new_ci;
|
||||
}
|
||||
|
||||
|
|
@ -771,39 +768,12 @@ namespace nla {
|
|||
}
|
||||
|
||||
lp::constraint_index stellensatz2::substitute(lp::constraint_index ci, lp::constraint_index ci_eq, lpvar v,
|
||||
dd::pdd p) {
|
||||
dd::pdd p) {
|
||||
auto const &[p1, k1] = m_constraints[ci];
|
||||
auto const &[p2, k2] = m_constraints[ci_eq];
|
||||
SASSERT(k2 == lp::lconstraint_kind::EQ);
|
||||
auto q = p1.subst_pdd(v, p);
|
||||
return add_constraint(q, k1, substitute_justification{ci, ci_eq, v, p});
|
||||
}
|
||||
|
||||
void stellensatz2::init_occurs() {
|
||||
m_occurs.reset();
|
||||
m_occurs.reserve(num_vars());
|
||||
for (lp::constraint_index ci = 0; ci < m_constraints.size(); ++ci)
|
||||
init_occurs(ci);
|
||||
}
|
||||
|
||||
void stellensatz2::init_occurs(lp::constraint_index ci) {
|
||||
if (ci == lp::null_ci)
|
||||
return;
|
||||
if (m_has_occurs[ci])
|
||||
return;
|
||||
m_has_occurs[ci] = true;
|
||||
auto const &con = m_constraints[ci];
|
||||
for (auto v : con.p.free_vars())
|
||||
m_occurs[v].push_back(ci);
|
||||
}
|
||||
|
||||
void stellensatz2::remove_occurs(lp::constraint_index ci) {
|
||||
if (!m_has_occurs[ci])
|
||||
return;
|
||||
m_has_occurs[ci] = false;
|
||||
auto const &con = m_constraints[ci];
|
||||
for (auto v : con.p.free_vars())
|
||||
m_occurs[v].pop_back();
|
||||
return add_constraint(q, k1, substitute_justification{ci, ci_eq, v, p});
|
||||
}
|
||||
|
||||
bool stellensatz2::is_int(svector<lp::lpvar> const& vars) const {
|
||||
|
|
@ -888,7 +858,7 @@ namespace nla {
|
|||
return false;
|
||||
m_conflict_dep.reset();
|
||||
m_dm.linearize(iv.m_lower_dep, m_conflict_dep);
|
||||
TRACE(arith, tout << "constraint is bound conflict: "; display_constraint(tout, ci) << "\n";);
|
||||
TRACE(arith, tout << "constraint is bound conflict: "; display_constraint(tout, ci););
|
||||
return true;
|
||||
}
|
||||
|
||||
|
|
@ -1025,7 +995,7 @@ namespace nla {
|
|||
// flip the last decision and backjump to the UIP.
|
||||
//
|
||||
lbool stellensatz2::resolve_conflict() {
|
||||
TRACE(arith, tout << "resolving conflict: "; display_constraint(tout, m_conflict) << "\n"; display(tout););
|
||||
TRACE(arith, tout << "resolving conflict: "; display_constraint(tout, m_conflict); display(tout););
|
||||
SASSERT(is_conflict());
|
||||
|
||||
m_conflict_marked_ci.reset();
|
||||
|
|
@ -1053,8 +1023,8 @@ namespace nla {
|
|||
found_decision = is_decision(ci);
|
||||
|
||||
TRACE(arith, tout << "num constraints: " << m_constraints.size() << "\n";
|
||||
tout << "is_decision: " << found_decision << "\n"; display_constraint(tout, ci) << "\n";
|
||||
tout << "new conflict: "; display_constraint(tout, m_conflict) << "\n";);
|
||||
tout << "is_decision: " << found_decision << "\n"; display_constraint(tout, ci);
|
||||
tout << "new conflict: "; display_constraint(tout, m_conflict););
|
||||
}
|
||||
SASSERT(found_decision == (conflict_level != 0));
|
||||
if (conflict_level == 0) {
|
||||
|
|
@ -1081,27 +1051,28 @@ namespace nla {
|
|||
return l_undef;
|
||||
}
|
||||
|
||||
// ~(x >= k) == -x > -k == -x >= -k + 1 if k integer
|
||||
// ~(x > k) == -x >= -k
|
||||
// ~(x <= k) == -x < -k == -x <= -k - 1 if k integer
|
||||
|
||||
stellensatz2::constraint stellensatz2::negate_constraint(constraint const &c) {
|
||||
auto [p, k] = c;
|
||||
switch (k) {
|
||||
p = -p;
|
||||
switch (k) {
|
||||
case lp::lconstraint_kind::GE:
|
||||
if (is_int(p)) {
|
||||
k = lp::lconstraint_kind::LE;
|
||||
p = p - rational(1);
|
||||
}
|
||||
if (is_int(p))
|
||||
p += rational(1);
|
||||
else
|
||||
k = lp::lconstraint_kind::GT;
|
||||
break;
|
||||
case lp::lconstraint_kind::GT: k = lp::lconstraint_kind::GE; break;
|
||||
case lp::lconstraint_kind::LT: k = lp::lconstraint_kind::LE; break;
|
||||
case lp::lconstraint_kind::LE:
|
||||
if (is_int(p))
|
||||
p -= rational(1);
|
||||
else
|
||||
k = lp::lconstraint_kind::LT;
|
||||
break;
|
||||
case lp::lconstraint_kind::GT: k = lp::lconstraint_kind::LE; break;
|
||||
case lp::lconstraint_kind::LT: k = lp::lconstraint_kind::GE; break;
|
||||
case lp::lconstraint_kind::LE:
|
||||
if (is_int(p)) {
|
||||
k = lp::lconstraint_kind::GE;
|
||||
p = p + rational(1);
|
||||
}
|
||||
else
|
||||
k = lp::lconstraint_kind::GT;
|
||||
break;
|
||||
}
|
||||
return {p, k};
|
||||
}
|
||||
|
|
@ -1124,22 +1095,19 @@ namespace nla {
|
|||
svector<lp::constraint_index> tail2head;
|
||||
tail2head.resize(sz - ci);
|
||||
auto translate_ci = [&](lp::constraint_index old_ci) -> lp::constraint_index {
|
||||
return old_ci < ci ? old_ci : tail2head[sz - old_ci];
|
||||
return old_ci <= ci ? old_ci : tail2head[sz - old_ci];
|
||||
};
|
||||
for (; tail < m_constraints.size(); ++tail) {
|
||||
auto [p, k] = m_constraints[tail];
|
||||
auto level = get_level(m_justifications[tail]);
|
||||
auto has_occurs = m_has_occurs[tail];
|
||||
remove_occurs(tail);
|
||||
m_constraint_index.erase({p.index(), k});
|
||||
if (level > m_num_scopes)
|
||||
continue;
|
||||
m_constraints[head] = m_constraints[tail];
|
||||
m_justifications[head] = translate_j(translate_ci, m_justifications[tail]);
|
||||
m_levels[head] = is_decision(head) ? ++m_num_scopes : get_level(m_justifications[tail]);
|
||||
m_levels[head] = is_decision(head) ? ++m_num_scopes : get_level(m_justifications[tail]);
|
||||
tail2head[sz - tail] = head;
|
||||
if (has_occurs)
|
||||
init_occurs(head);
|
||||
|
||||
m_constraint_index.insert({p.index(), k}, head);
|
||||
++head;
|
||||
}
|
||||
|
|
@ -1149,11 +1117,11 @@ namespace nla {
|
|||
// re-insert bounds
|
||||
for (; m_bounds.size() >= ci;) {
|
||||
pop_bound();
|
||||
pop_constraint(m_bounds.size());
|
||||
pop_propagation(m_bounds.size());
|
||||
}
|
||||
for (; m_bounds.size() < head;) {
|
||||
push_bound(m_bounds.size());
|
||||
push_constraint(m_bounds.size() - 1);
|
||||
push_propagation(m_bounds.size() - 1);
|
||||
}
|
||||
|
||||
SASSERT(well_formed_last_bound());
|
||||
|
|
@ -1302,7 +1270,7 @@ namespace nla {
|
|||
|
||||
void stellensatz2::propagate_constraint(lpvar x, lp::lconstraint_kind k, rational const& value,
|
||||
lp::constraint_index ci, svector<lp::constraint_index>& cs) {
|
||||
TRACE(arith, display_constraint(tout << "constraint is propagating ", ci) << "\n";
|
||||
TRACE(arith, display_constraint(tout << "constraint is propagating ", ci);
|
||||
tout << "v" << x << " " << k << " " << value << "\n";);
|
||||
|
||||
// block repeated bounds propagation
|
||||
|
|
@ -1421,38 +1389,6 @@ namespace nla {
|
|||
return level;
|
||||
}
|
||||
|
||||
//
|
||||
// Compute intervals for polynomials p, q, in constraint px + q >= 0
|
||||
// Determine bounds on x implied by intervals on p, q.
|
||||
// If a tighter bound is computed for x, produce the bound propagation.
|
||||
//
|
||||
bool stellensatz2::constraint_is_propagating(lp::constraint_index ci, svector<lp::constraint_index> &cs, lpvar &v,
|
||||
lp::lconstraint_kind &k, rational &value) {
|
||||
auto [p, ck] = m_constraints[ci];
|
||||
cs.reset();
|
||||
k = ck;
|
||||
for (auto x : p.free_vars()) {
|
||||
auto f = factor(x, ci);
|
||||
if (f.degree > 1)
|
||||
continue;
|
||||
scoped_dep_interval ivp(m_di), ivq(m_di);
|
||||
calculate_interval(ivp, f.p);
|
||||
calculate_interval(ivq, -f.q);
|
||||
|
||||
TRACE(arith_verbose, tout << "variable v" << x << " in " << p << "\n";
|
||||
m_di.display(tout << "interval: " << f.p << ": ", ivp) << "\n";
|
||||
m_di.display(tout << "interval: " << -f.q << ": ", ivq) << "\n";
|
||||
display_constraint(tout, ci) << "\n");
|
||||
|
||||
v = x;
|
||||
k = ck;
|
||||
if (constraint_is_propagating(ivp, ivq, v, cs, k, value))
|
||||
return true;
|
||||
}
|
||||
|
||||
return false;
|
||||
}
|
||||
|
||||
bool stellensatz2::constraint_is_propagating(dep_interval const &ivp, dep_interval const &ivq, lpvar x,
|
||||
svector<lp::constraint_index> &cs, lp::lconstraint_kind &k,
|
||||
rational &value) {
|
||||
|
|
@ -1699,9 +1635,9 @@ namespace nla {
|
|||
|
||||
CTRACE(arith, inf != lp::null_ci || sup != lp::null_ci || conflict != lp::null_ci,
|
||||
tout << "bounds for v" << v << " @ " << m_var2level[v] << "\n";
|
||||
display_constraint(tout << "lo: ", inf) << "\n";
|
||||
display_constraint(tout << "hi: ", sup) << "\n";
|
||||
display_constraint(tout << "conflict: ", conflict) << "\n");
|
||||
display_constraint(tout << "lo: ", inf);
|
||||
display_constraint(tout << "hi: ", sup);
|
||||
display_constraint(tout << "conflict: ", conflict));
|
||||
|
||||
if (conflict != lp::null_ci)
|
||||
return conflict;
|
||||
|
|
@ -1760,7 +1696,7 @@ namespace nla {
|
|||
else {
|
||||
TRACE(arith, tout << "cannot repair v" << v << " between " << lo << " and " << hi << " " << (lo > hi)
|
||||
<< " is int " << var_is_int(v) << "\n";
|
||||
display_constraint(tout, inf) << "\n"; display_constraint(tout, sup) << "\n";);
|
||||
display_constraint(tout, inf); display_constraint(tout, sup););
|
||||
auto res = resolve_variable(v, inf, sup);
|
||||
TRACE(arith, display_constraint(tout << "resolve ", res) << " " << constraint_is_false(res) << "\n");
|
||||
if (constraint_is_false(res))
|
||||
|
|
@ -1840,7 +1776,7 @@ namespace nla {
|
|||
//
|
||||
auto const &p = m_constraints[ci].p;
|
||||
auto const &vars = p.free_vars();
|
||||
TRACE(arith_verbose, display_constraint(tout, ci) << "\n"; for (auto j : vars) tout
|
||||
TRACE(arith_verbose, display_constraint(tout, ci); for (auto j : vars) tout
|
||||
<< "j" << j << " deg: " << p.degree(j)
|
||||
<< " lvl: " << m_var2level[j]
|
||||
<< "\n";);
|
||||
|
|
@ -1853,8 +1789,8 @@ namespace nla {
|
|||
van = q_ge_0;
|
||||
return result;
|
||||
}
|
||||
TRACE(arith_verbose, display_constraint(tout << "vanished j" << v << " in ", ci) << "\n";
|
||||
display_constraint(tout << " to ", q_ge_0) << "\n";);
|
||||
TRACE(arith_verbose, display_constraint(tout << "vanished j" << v << " in ", ci);
|
||||
display_constraint(tout << " to ", q_ge_0););
|
||||
continue;
|
||||
}
|
||||
|
||||
|
|
@ -1909,10 +1845,8 @@ namespace nla {
|
|||
for (unsigned v = 0; v < num_vars(); ++v)
|
||||
display_var_range(out, v) << "\n";
|
||||
|
||||
for (unsigned ci = 0; ci < m_constraints.size(); ++ci) {
|
||||
display_constraint(out, ci) << "\n";
|
||||
display(out << "\t<- ", m_justifications[ci]) << "\n";
|
||||
}
|
||||
for (unsigned ci = 0; ci < m_constraints.size(); ++ci)
|
||||
display_constraint(out, ci);
|
||||
|
||||
// Display propagation data structures
|
||||
out << "\n=== Propagation State ===\n";
|
||||
|
|
@ -1920,8 +1854,8 @@ namespace nla {
|
|||
// Display polynomial queue
|
||||
out << "Polynomial queue (qhead=" << m_prop_qhead << "):\n";
|
||||
for (unsigned i = 0; i < m_polynomial_queue.size(); ++i) {
|
||||
out << " [" << i << "]" << (i < m_prop_qhead ? " (processed)" : "") << " ";
|
||||
m_polynomial_queue[i].display(out) << "\n";
|
||||
out << " [" << i << "]" << (i < m_prop_qhead ? " (processed)" : "") << " "
|
||||
<< m_polynomial_queue[i] << "\n";
|
||||
}
|
||||
|
||||
// Display intervals
|
||||
|
|
@ -1958,11 +1892,9 @@ namespace nla {
|
|||
if (factors.empty())
|
||||
continue;
|
||||
out << " [" << idx << "]:\n";
|
||||
for (auto const& [x, f, ci] : factors) {
|
||||
out << " var=j" << x << " deg=" << f.degree << " p=";
|
||||
f.p.display(out) << " q=";
|
||||
f.q.display(out) << " ci=" << ci << "\n";
|
||||
}
|
||||
for (auto const& [x, f, ci] : factors)
|
||||
out << " x" << x << " * ( " << f.p << ") + (" << f.q << ") (" << ci << ") " << m_constraints[ci].p << "\n";
|
||||
|
||||
}
|
||||
|
||||
return out;
|
||||
|
|
@ -2033,10 +1965,10 @@ namespace nla {
|
|||
bool is_true = constraint_is_true(ci);
|
||||
auto const &[p, k] = m_constraints[ci];
|
||||
auto level = m_levels[ci];
|
||||
return display_constraint(out << "(" << ci << ") @ " << level << " ", m_constraints[ci])
|
||||
display_constraint(out << "(" << ci << ") @ " << level << " ", m_constraints[ci])
|
||||
<< (is_true ? " [true] " : " [false] ") << "(" << value(p) << " " << k << " 0)\n";
|
||||
auto const &j = m_justifications[ci];
|
||||
display(out, j) << "\n";
|
||||
return display(out << "\t<- ", j) << "\n";
|
||||
}
|
||||
|
||||
std::ostream &stellensatz2::display_constraint(std::ostream &out, constraint const &c) const {
|
||||
|
|
@ -2090,6 +2022,10 @@ namespace nla {
|
|||
auto m = std::get<gcd_justification>(j);
|
||||
out << " gcd (" << m.ci << ")";
|
||||
}
|
||||
else if (std::holds_alternative <bound_propagation_justification>(j)) {
|
||||
auto const& m = std::get<bound_propagation_justification>(j);
|
||||
out << " bound propagation (" << m.ci << ") with " << m.cs;
|
||||
}
|
||||
else
|
||||
UNREACHABLE();
|
||||
return out;
|
||||
|
|
@ -2191,13 +2127,14 @@ namespace nla {
|
|||
// non-empty intersection with the bound imposed by the constraint
|
||||
|
||||
// 1. Life-time management of sub-expressions and insertion into propagation queue
|
||||
void stellensatz2::push_constraint(lp::constraint_index ci) {
|
||||
void stellensatz2::push_propagation(lp::constraint_index ci) {
|
||||
auto [p, k] = m_constraints[ci];
|
||||
m_scopes.push_back(
|
||||
{m_parent_trail.size(),
|
||||
m_factor_trail.size(),
|
||||
m_polynomial_queue.size(),
|
||||
m_interval_trail.size(),
|
||||
m_parent_constraints_trail.size(),
|
||||
m_prop_qhead});
|
||||
|
||||
insert_parents(p);
|
||||
|
|
@ -2224,7 +2161,8 @@ namespace nla {
|
|||
m_di.set_lower(new_iv, b.m_value);
|
||||
m_di.set_lower_is_open(new_iv, is_strict);
|
||||
m_di.set_lower_dep(new_iv, b.d);
|
||||
m_di.copy_upper_bound<dep_intervals::with_deps>(iv, new_iv);
|
||||
if (!iv.m_upper_inf)
|
||||
m_di.copy_upper_bound<dep_intervals::with_deps>(iv, new_iv);
|
||||
if (update_interval(new_iv, b.q))
|
||||
m_polynomial_queue.push_back(b.q);
|
||||
}
|
||||
|
|
@ -2234,7 +2172,8 @@ namespace nla {
|
|||
m_di.set_upper_is_open(new_iv, is_strict);
|
||||
m_di.set_upper_dep(new_iv, b.d);
|
||||
m_di.set_upper(new_iv, -b.m_value);
|
||||
m_di.copy_lower_bound<dep_intervals::with_deps>(iv, new_iv);
|
||||
if (!iv.m_lower_inf)
|
||||
m_di.copy_lower_bound<dep_intervals::with_deps>(iv, new_iv);
|
||||
if (update_interval(new_iv, b.mq))
|
||||
m_polynomial_queue.push_back(b.mq);
|
||||
}
|
||||
|
|
@ -2244,9 +2183,11 @@ namespace nla {
|
|||
void stellensatz2::insert_parents(dd::pdd const &p, lp::constraint_index ci) {
|
||||
m_parent_constraints.reserve(p.index() + 1);
|
||||
m_parent_constraints[p.index()].push_back(ci);
|
||||
m_parent_constraints_trail.push_back(p.index());
|
||||
}
|
||||
|
||||
void stellensatz2::insert_parents(dd::pdd const &p) {
|
||||
TRACE(arith, tout << "insert parents " << p << "\n");
|
||||
if (m_is_parent.get(p.index(), false) || p.is_val())
|
||||
return;
|
||||
m_is_parent.setx(p.index(), true, false);
|
||||
|
|
@ -2264,13 +2205,15 @@ namespace nla {
|
|||
}
|
||||
|
||||
void stellensatz2::insert_factor(dd::pdd const &p, lpvar x, factorization const &f, lp::constraint_index ci) {
|
||||
if (p.is_val())
|
||||
return;
|
||||
m_factors.reserve(p.index() + 1);
|
||||
m_factors[p.index()].push_back({x, f, ci});
|
||||
m_factor_trail.push_back(p.index());
|
||||
}
|
||||
|
||||
void stellensatz2::pop_constraint(lp::constraint_index ci) {
|
||||
void stellensatz2::pop_propagation(lp::constraint_index ci) {
|
||||
auto const &s = m_scopes[ci];
|
||||
m_parent_constraints[ci].pop_back();
|
||||
while (m_factor_trail.size() >= s.factors_lim) {
|
||||
auto p_index = m_factor_trail.back();
|
||||
m_factors[p_index].pop_back();
|
||||
|
|
@ -2284,6 +2227,11 @@ namespace nla {
|
|||
m_parent_trail.pop_back();
|
||||
}
|
||||
m_polynomial_queue.shrink(s.polynomial_lim);
|
||||
while (m_parent_constraints_trail.size() >= s.parent_constraints_lim) {
|
||||
auto p_index = m_parent_constraints_trail.back();
|
||||
m_parent_constraints[p_index].pop_back();
|
||||
m_parent_constraints_trail.pop_back();
|
||||
}
|
||||
|
||||
while (m_interval_trail.size() > s.interval_lim) {
|
||||
auto p_index = m_interval_trail.back();
|
||||
|
|
@ -2323,21 +2271,23 @@ namespace nla {
|
|||
|
||||
dep_interval const &stellensatz2::get_interval(dd::pdd const &p) {
|
||||
auto &ivs = m_intervals[p.index()];
|
||||
if (ivs.empty() && p.is_val()) {
|
||||
ivs.push_back(alloc(dep_interval));
|
||||
m_di.set_value(*ivs.back(), p.val());
|
||||
if (!ivs.empty())
|
||||
return *ivs.back();
|
||||
}
|
||||
SASSERT(!ivs.empty());
|
||||
|
||||
ivs.push_back(alloc(dep_interval));
|
||||
m_interval_trail.push_back(p.index());
|
||||
if (p.is_val())
|
||||
m_di.set_value(*ivs.back(), p.val());
|
||||
return *ivs.back();
|
||||
}
|
||||
|
||||
bool stellensatz2::update_interval(dep_interval const &new_iv, dd::pdd const &p) {
|
||||
SASSERT(!p.is_val());
|
||||
auto &old_iv = get_interval(p);
|
||||
|
||||
if (!is_better(new_iv, old_iv))
|
||||
return false;
|
||||
|
||||
|
||||
m_intervals[p.index()].push_back(alloc(dep_interval));
|
||||
m_di.set<dep_intervals::with_deps>(*m_intervals[p.index()].back(), new_iv);
|
||||
m_interval_trail.push_back(p.index());
|
||||
|
|
|
|||
|
|
@ -177,8 +177,7 @@ namespace nla {
|
|||
monomial_factory m_monomial_factory;
|
||||
vector<rational> m_values;
|
||||
svector<lp::constraint_index> m_core;
|
||||
vector<svector<lp::constraint_index>> m_occurs, m_max_occurs; // map from variable to constraints they occur.
|
||||
bool_vector m_has_occurs; // is the constraint indexed already
|
||||
vector<svector<lp::constraint_index>> m_max_occurs; // map from variable to constraints they occur.
|
||||
map<constraint_key, lp::constraint_index, constraint_key::hash, constraint_key::eq> m_constraint_index;
|
||||
|
||||
//
|
||||
|
|
@ -219,7 +218,7 @@ namespace nla {
|
|||
void pop_bound();
|
||||
void mark_dependencies(u_dependency *d);
|
||||
void mark_dependencies(lp::constraint_index ci);
|
||||
bool should_propagate() const { return m_prop_qhead < m_constraints.size(); }
|
||||
bool should_propagate() const { return m_prop_qhead < m_polynomial_queue.size(); }
|
||||
|
||||
// assuming variables have bounds determine if polynomial has lower/upper bounds
|
||||
void calculate_interval(scoped_dep_interval &out, dd::pdd p);
|
||||
|
|
@ -246,7 +245,7 @@ namespace nla {
|
|||
|
||||
// propagation
|
||||
struct scope {
|
||||
unsigned parents_lim, factors_lim, polynomial_lim, interval_lim, qhead;
|
||||
unsigned parents_lim, factors_lim, polynomial_lim, interval_lim, parent_constraints_lim, qhead;
|
||||
};
|
||||
|
||||
struct factor_prop {
|
||||
|
|
@ -261,6 +260,7 @@ namespace nla {
|
|||
vector<dd::pdd> m_polynomial_queue;
|
||||
unsigned_vector m_interval_trail;
|
||||
unsigned_vector m_factor_trail;
|
||||
unsigned_vector m_parent_constraints_trail;
|
||||
vector<svector<lp::constraint_index>> m_parent_constraints;
|
||||
vector<scoped_ptr_vector<dep_interval>> m_intervals;
|
||||
bool_vector m_is_parent;
|
||||
|
|
@ -269,8 +269,9 @@ namespace nla {
|
|||
|
||||
unsigned get_lower(lpvar v) const { return get_lower(pddm.mk_var(v)); }
|
||||
unsigned get_upper(lpvar v) const { return get_upper(pddm.mk_var(v)); }
|
||||
unsigned get_lower(dd::pdd const &p) const { return m_idx2bound[p.index()]; }
|
||||
unsigned get_upper(dd::pdd const &p) const { return m_idx2bound[(-p).index()]; }
|
||||
unsigned get_lower(dd::pdd const &p) const { return m_idx2bound.get(p.index(), UINT_MAX); }
|
||||
unsigned get_upper(dd::pdd const &p) const { return m_idx2bound.get((-p).index(), UINT_MAX); }
|
||||
|
||||
|
||||
bool has_lo(dd::pdd const &p) const { return get_lower(p) != UINT_MAX; }
|
||||
bool has_hi(dd::pdd const &p) const { return get_upper(p) != UINT_MAX; }
|
||||
|
|
@ -333,9 +334,6 @@ namespace nla {
|
|||
void init_solver();
|
||||
void init_vars();
|
||||
void simplify();
|
||||
void init_occurs();
|
||||
void init_occurs(lp::constraint_index ci);
|
||||
void remove_occurs(lp::constraint_index ci);
|
||||
|
||||
lp::constraint_index factor(lp::constraint_index ci);
|
||||
void conflict(svector<lp::constraint_index> const& core);
|
||||
|
|
@ -346,12 +344,12 @@ namespace nla {
|
|||
lp::constraint_index resolve(lp::constraint_index c1, lp::constraint_index c2);
|
||||
|
||||
// propagation
|
||||
void push_constraint(lp::constraint_index ci);
|
||||
void push_propagation(lp::constraint_index ci);
|
||||
void insert_parents(dd::pdd const &p, lp::constraint_index ci);
|
||||
void insert_parents(dd::pdd const &p);
|
||||
void insert_child(dd::pdd const &child, dd::pdd const &parent);
|
||||
void insert_factor(dd::pdd const &p, lpvar x, factorization const &f, lp::constraint_index ci);
|
||||
void pop_constraint(lp::constraint_index ci);
|
||||
void pop_propagation(lp::constraint_index ci);
|
||||
bool is_better(dep_interval const &new_iv, dep_interval const &old_iv);
|
||||
bool update_interval(dep_interval const &new_iv, dd::pdd const &p);
|
||||
dep_interval const &get_interval(dd::pdd const &p);
|
||||
|
|
@ -374,8 +372,6 @@ namespace nla {
|
|||
bool var_is_bound_conflict(lpvar v);
|
||||
bool is_bound_conflict(dd::pdd const &p);
|
||||
|
||||
bool constraint_is_propagating(lp::constraint_index ci, svector<lp::constraint_index> &cs, lpvar &v,
|
||||
lp::lconstraint_kind &k, rational &value);
|
||||
bool constraint_is_propagating(dep_interval const &ivp, dep_interval const& ivq, lpvar x,
|
||||
svector<lp::constraint_index> &cs, lp::lconstraint_kind &k, rational &value);
|
||||
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue