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https://github.com/Z3Prover/z3
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port Grobner, add fixed var dependencies to create_sum_from_row()
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
This commit is contained in:
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b3fc12ffdc
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7fbf3e0707
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@ -81,7 +81,7 @@ bool horner::check_cross_nested_expr(const nex* n) {
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}
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auto interv_wd = interval_of_expr_with_deps(n, 1);
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TRACE("nla_horner", tout << "conflict: interv_wd = "; m_intervals.display(tout, interv_wd ) << *n << "\n";);
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m_intervals.check_interval_for_conflict_on_zero(interv_wd, m_fixed_var_deps);
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m_intervals.check_interval_for_conflict_on_zero(interv_wd, m_fixed_var_constraints_for_row);
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m_intervals.reset(); // clean the memory allocated by the interval bound dependencies
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return true;
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}
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@ -94,7 +94,10 @@ bool horner::lemmas_on_row(const T& row) {
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[this]() { return c().random(); }, m_nex_creator);
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SASSERT (row_is_interesting(row));
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create_sum_from_row(row, cn.get_nex_creator(), m_row_sum, m_fixed_var_deps);
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c().clear_and_resize_active_var_set();
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m_fixed_var_constraints_for_row.clear();
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create_sum_from_row(row, cn.get_nex_creator(), m_row_sum, m_fixed_var_constraints_for_row);
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set_active_vars_weights(); // without this call the comparisons will be incorrect
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nex* e = m_nex_creator.simplify(&m_row_sum);
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if (!e->is_sum())
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return false;
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@ -108,7 +111,6 @@ void horner::horner_lemmas() {
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return;
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}
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c().lp_settings().stats().m_horner_calls++;
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set_active_vars_weights();
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const auto& matrix = c().m_lar_solver.A_r();
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// choose only rows that depend on m_to_refine variables
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std::set<unsigned> rows_to_check; // we need it to be determenistic: cannot work with the unordered_set
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@ -116,7 +118,7 @@ void horner::horner_lemmas() {
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for (auto & s : matrix.m_columns[j])
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rows_to_check.insert(s.var());
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}
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c().prepare_active_var_set();
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c().clear_and_resize_active_var_set();
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svector<unsigned> rows;
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for (unsigned i : rows_to_check) {
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if (row_is_interesting(matrix.m_rows[i]))
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@ -30,9 +30,9 @@ class core;
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class horner : common {
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intervals m_intervals;
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nex_sum m_row_sum;
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ci_dependency* m_fixed_var_deps;
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intervals m_intervals;
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nex_sum m_row_sum;
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svector<lp::constraint_index> m_fixed_var_constraints_for_row;
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public:
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typedef intervals::interval interv;
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horner(core *core);
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@ -799,7 +799,7 @@ public:
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( m_column_types()[j] == column_type::boxed &&
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m_r_solver.m_lower_bounds[j] == m_r_solver.m_upper_bounds[j]);
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}
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const impq & lower_bound(unsigned j) const {
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lp_assert(m_column_types()[j] == column_type::fixed ||
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m_column_types()[j] == column_type::boxed ||
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@ -357,6 +357,9 @@ nex * nex_creator::simplify_mul(nex_mul *e) {
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simplify_children_of_mul(e->children(), coeff);
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if (e->size() == 1 && (*e)[0].pow() == 1 && coeff.is_one())
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return (*e)[0].e();
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if (e->size() == 0 || e->coeff().is_zero())
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return mk_scalar(e->coeff());
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TRACE("nla_cn_details", tout << *e << "\n";);
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SASSERT(is_simplified(e));
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return e;
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@ -540,7 +543,10 @@ void nex_creator::simplify_children_of_sum(ptr_vector<nex> & children) {
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} else if (is_zero_scalar(e)) {
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skipped ++;
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continue;
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} else {
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} else if (e->is_mul() && to_mul(e)->coeff().is_zero() ) {
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skipped ++;
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continue;
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}else {
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unsigned offset = to_promote.size() + skipped;
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if (offset) {
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children[j - offset] = e;
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@ -122,7 +122,9 @@ unsigned common::random() {
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return c().random();
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}
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nex * common::nexvar(lpvar j, nex_creator& cn) {
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// it also inserts variables into m_active_vars
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// and updates fixed_var_deps
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nex * common::nexvar(lpvar j, nex_creator& cn, svector<lp::constraint_index> & fixed_vars_constraints) {
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// todo: consider deepen the recursion
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if (!c().is_monic_var(j)) {
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c().insert_to_active_var_set(j);
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@ -138,15 +140,30 @@ nex * common::nexvar(lpvar j, nex_creator& cn) {
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return e;
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}
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nex * common::nexvar(const rational & coeff, lpvar j, nex_creator& cn) {
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// todo: consider deepen the recursion
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nex * common::nexvar(const rational & coeff, lpvar j, nex_creator& cn,
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svector<lp::constraint_index> & fixed_vars_constraints) {
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if (!c().is_monic_var(j)) {
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if (c().var_is_fixed(j)) {
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lp::constraint_index lc,uc;
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c().m_lar_solver.get_bound_constraint_witnesses_for_column(j, lc, uc);
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fixed_vars_constraints.push_back(lc);
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fixed_vars_constraints.push_back(uc);
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return cn.mk_scalar(c().m_lar_solver.get_lower_bound(j).x);
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}
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c().insert_to_active_var_set(j);
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return cn.mk_mul(cn.mk_scalar(coeff), cn.mk_var(j));
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}
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const monic& m = c().emons()[j];
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nex_mul * e = cn.mk_mul(cn.mk_scalar(coeff));
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for (lpvar k : m.vars()) {
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if (c().var_is_fixed(j)) {
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lp::constraint_index lc,uc;
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c().m_lar_solver.get_bound_constraint_witnesses_for_column(j, lc, uc);
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fixed_vars_constraints.push_back(lc);
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fixed_vars_constraints.push_back(uc);
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e->coeff() *= c().m_lar_solver.get_lower_bound(j).x;
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continue;
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}
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c().insert_to_active_var_set(j);
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e->add_child(cn.mk_var(k));
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CTRACE("nla_horner", c().is_monic_var(k), c().print_var(k, tout) << "\n";);
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@ -155,21 +172,24 @@ nex * common::nexvar(const rational & coeff, lpvar j, nex_creator& cn) {
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}
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template <typename T> void common::create_sum_from_row(const T& row, nex_creator& cn, nex_sum& sum, ci_dependency*& fixed_var_deps) {
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template <typename T> void common::create_sum_from_row(const T& row, nex_creator& cn,
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nex_sum& sum,
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svector<lp::constraint_index> & fixed_vars_constraints) {
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TRACE("nla_horner", tout << "row="; m_core->print_term(row, tout) << "\n";);
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fixed_var_deps = nullptr;
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SASSERT(row.size() > 1);
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sum.children().clear();
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for (const auto &p : row) {
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if (p.coeff().is_one())
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sum.add_child(nexvar(p.var(), cn));
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else {
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sum.add_child(nexvar(p.coeff(), p.var(), cn));
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if (p.coeff().is_one()) {
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nex* e = nexvar(p.var(), cn, fixed_vars_constraints);
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sum.add_child(e);
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} else {
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nex* e = nexvar(p.coeff(), p.var(), cn, fixed_vars_constraints);
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sum.add_child(e);
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}
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}
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}
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}
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void common::set_active_vars_weights() {
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m_nex_creator.set_number_of_vars(c().m_lar_solver.column_count());
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@ -206,5 +226,6 @@ var_weight common::get_var_weight(lpvar j) const {
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}
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template void nla::common::create_sum_from_row<old_vector<lp::row_cell<rational>, true, unsigned int> >(old_vector<lp::row_cell<rational>, true, unsigned int> const&, nla::nex_creator&, nla::nex_sum&, ci_dependency*&);
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template void nla::common::create_sum_from_row<old_vector<lp::row_cell<rational>, true, unsigned int> >(old_vector<lp::row_cell<rational>, true, unsigned int> const&, nla::nex_creator&, nla::nex_sum&, svector<lp::constraint_index>&);
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@ -117,10 +117,11 @@ struct common {
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typedef dependency_manager<ci_dependency_config> ci_dependency_manager;
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typedef ci_dependency_manager::dependency ci_dependency;
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nex* nexvar(lpvar j, nex_creator& );
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nex* nexvar(const rational& coeff, lpvar j, nex_creator&);
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nex* nexvar(lpvar j, nex_creator&, svector<lp::constraint_index> & fixed_vars_constraints);
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nex* nexvar(const rational& coeff, lpvar j, nex_creator&, svector<lp::constraint_index> & fixed_vars_constraints);
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template <typename T>
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void create_sum_from_row(const T&, nex_creator&, nex_sum&, ci_dependency*&);
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void create_sum_from_row(const T&, nex_creator&, nex_sum&,
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svector<lp::constraint_index> & fixed_vars_constraints);
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void set_active_vars_weights();
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var_weight get_var_weight(lpvar) const;
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};
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@ -107,7 +107,7 @@ public:
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m_active_var_set.clear();
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}
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void prepare_active_var_set() const {
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void clear_and_resize_active_var_set() const {
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m_active_var_set.clear();
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m_active_var_set.resize(m_lar_solver.number_of_vars());
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}
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@ -99,8 +99,7 @@ void nla_grobner::find_nl_cluster() {
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void nla_grobner::prepare_rows_and_active_vars() {
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m_rows.clear();
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m_rows.resize(c().m_lar_solver.row_count());
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m_active_vars.clear();
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m_active_vars.resize(c().m_lar_solver.column_count());
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c().clear_and_resize_active_var_set();
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}
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void nla_grobner::display(std::ostream & out) {
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@ -171,16 +170,23 @@ nex * nla_grobner::mk_monomial_in_row(rational coeff, lpvar j, ci_dependency * &
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*/
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}
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common::ci_dependency* nla_grobner::dep_from_vector(svector<lp::constraint_index> & cs) {
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ci_dependency * d = nullptr;
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for (auto c : cs)
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d = m_dep_manager.mk_join(d, m_dep_manager.mk_leaf(c));
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return d;
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}
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void nla_grobner::add_row(unsigned i) {
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const auto& row = c().m_lar_solver.A_r().m_rows[i];
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TRACE("nla_grobner", tout << "adding row to gb\n"; c().m_lar_solver.print_row(row, tout););
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nex_sum * ns = m_nex_creator.mk_sum();
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ci_dependency * dep;
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create_sum_from_row(row, m_nex_creator, *ns, dep);
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svector<lp::constraint_index> fixed_vars_constraints;
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create_sum_from_row(row, m_nex_creator, *ns, fixed_vars_constraints);
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TRACE("nla_grobner", tout << "ns = " << *ns << "\n";);
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m_tmp_var_set.clear();
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assert_eq_0(ns, dep);
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m_tmp_var_set.clear();
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assert_eq_0(ns, dep_from_vector(fixed_vars_constraints));
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}
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void nla_grobner::simplify_equations_to_process() {
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@ -191,7 +197,7 @@ void nla_grobner::simplify_equations_to_process() {
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void nla_grobner::init() {
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find_nl_cluster();
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c().prepare_active_var_set();
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c().clear_and_resize_active_var_set();
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for (unsigned i : m_rows) {
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add_row(i);
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}
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@ -165,5 +165,6 @@ bool simplify_processed_with_eq(equation*);
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void insert_to_process(equation *eq) { m_to_process.insert(eq); }
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void simplify_equations_to_process();
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const nex_mul * get_highest_monomial(const nex * e) const;
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ci_dependency* dep_from_vector( svector<lp::constraint_index> & fixed_vars_constraints);
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}; // end of grobner
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}
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@ -103,32 +103,35 @@ bool intervals::separated_from_zero_on_upper(const interval& i) const {
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}
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bool intervals::check_interval_for_conflict_on_zero(const interval & i, ci_dependency * fixed_var_deps) {
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return check_interval_for_conflict_on_zero_lower(i, fixed_var_deps) || check_interval_for_conflict_on_zero_upper(i, fixed_var_deps);
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bool intervals::check_interval_for_conflict_on_zero(const interval & i, const svector<lp::constraint_index>& cs) {
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return check_interval_for_conflict_on_zero_lower(i, cs) || check_interval_for_conflict_on_zero_upper(i, cs);
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}
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bool intervals::check_interval_for_conflict_on_zero_upper(const interval & i, ci_dependency* fixed_var_deps) {
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bool intervals::check_interval_for_conflict_on_zero_upper(
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const interval & i,
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const svector<lp::constraint_index>& fixed_vars_constraints) {
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if (!separated_from_zero_on_upper(i))
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return false;
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add_empty_lemma();
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svector<lp::constraint_index> expl;
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if (fixed_var_deps)
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m_dep_manager.linearize(fixed_var_deps, expl);
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for (auto c : fixed_vars_constraints) {
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expl.push_back(c);
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}
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m_dep_manager.linearize(i.m_upper_dep, expl);
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_().current_expl().add_expl(expl);
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TRACE("nla_solver", print_lemma(tout););
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return true;
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}
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bool intervals::check_interval_for_conflict_on_zero_lower(const interval & i, ci_dependency* fixed_var_deps) {
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bool intervals::check_interval_for_conflict_on_zero_lower(const interval & i, const svector<lp::constraint_index>& fixed_vars_constraints) {
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if (!separated_from_zero_on_lower(i))
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return false;
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add_empty_lemma();
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svector<lp::constraint_index> expl;
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if (fixed_var_deps)
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m_dep_manager.linearize(fixed_var_deps, expl);
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for (auto c : fixed_vars_constraints) {
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expl.push_back(c);
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}
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m_dep_manager.linearize(i.m_lower_dep, expl);
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_().current_expl().add_expl(expl);
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@ -156,6 +156,9 @@ public:
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m_config(m_num_manager, m_dep_manager),
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m_imanager(lim, im_config(m_num_manager, m_dep_manager))
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{}
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ci_dependency* mk_join(ci_dependency* a, ci_dependency* b) { return m_dep_manager.mk_join(a, b);}
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ci_dependency* mk_leaf(lp::constraint_index ci) { return m_dep_manager.mk_leaf(ci);}
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interval mul(const svector<lpvar>&) const;
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void get_explanation_of_upper_bound_for_monomial(lpvar j, svector<lp::constraint_index>& expl) const;
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void get_explanation_of_lower_bound_for_monomial(lpvar j, svector<lp::constraint_index>& expl) const;
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return separated_from_zero_on_upper(i) ||
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separated_from_zero_on_lower(i);
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}
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bool check_interval_for_conflict_on_zero(const interval & i, ci_dependency*);
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bool check_interval_for_conflict_on_zero_lower(const interval & i, ci_dependency*);
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bool check_interval_for_conflict_on_zero_upper(const interval & i, ci_dependency*);
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bool check_interval_for_conflict_on_zero(const interval & i, const svector<lp::constraint_index>&);
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bool check_interval_for_conflict_on_zero_lower(const interval & i, const svector<lp::constraint_index>&);
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bool check_interval_for_conflict_on_zero_upper(const interval & i, const svector<lp::constraint_index>&);
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mpq const & lower(interval const & a) const { return m_config.lower(a); }
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mpq const & upper(interval const & a) const { return m_config.upper(a); }
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inline
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