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https://github.com/Z3Prover/z3
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port Grobner
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
This commit is contained in:
parent
8f816b4b80
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3 changed files with 15 additions and 94 deletions
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@ -653,7 +653,7 @@ grobner::equation * grobner::simplify_source_target(equation const * source, equ
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grobner::equation * grobner::simplify_using_processed(equation * eq) {
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grobner::equation * grobner::simplify_using_processed(equation * eq) {
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bool result = false;
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bool result = false;
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bool simplified;
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bool simplified;
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TRACE("grobner", tout << "simplifying: "; display_equation(tout, *eq); tout << "using already processed equalities\n";);
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TRACE("grobner", tout << "simplifying: "; display_equation(tout, *eq); tout << "using already processed equalities of size " << m_processed.size() << "\n";);
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do {
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do {
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simplified = false;
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simplified = false;
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for (equation const* p : m_processed) {
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for (equation const* p : m_processed) {
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@ -81,7 +81,7 @@ void nla_grobner::find_nl_cluster() {
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prepare_rows_and_active_vars();
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prepare_rows_and_active_vars();
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std::queue<lpvar> q;
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std::queue<lpvar> q;
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for (lpvar j : c().m_to_refine) {
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for (lpvar j : c().m_to_refine) {
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TRACE("nla_grobner", c().print_monic(c().emons()[j], tout) << "\n";);
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TRACE("grobner", c().print_monic(c().emons()[j], tout) << "\n";);
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q.push(j);
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q.push(j);
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}
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}
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@ -93,7 +93,7 @@ void nla_grobner::find_nl_cluster() {
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add_var_and_its_factors_to_q_and_collect_new_rows(j, q);
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add_var_and_its_factors_to_q_and_collect_new_rows(j, q);
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}
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}
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set_active_vars_weights();
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set_active_vars_weights();
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TRACE("nla_grobner", display(tout););
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TRACE("grobner", display(tout););
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}
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}
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void nla_grobner::prepare_rows_and_active_vars() {
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void nla_grobner::prepare_rows_and_active_vars() {
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@ -179,12 +179,12 @@ common::ci_dependency* nla_grobner::dep_from_vector(svector<lp::constraint_index
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void nla_grobner::add_row(unsigned i) {
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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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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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TRACE("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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nex_sum * ns = m_nex_creator.mk_sum();
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svector<lp::constraint_index> fixed_vars_constraints;
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svector<lp::constraint_index> fixed_vars_constraints;
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create_sum_from_row(row, m_nex_creator, *ns, true); // true to treat fixed vars as scalars
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create_sum_from_row(row, m_nex_creator, *ns, true); // true to treat fixed vars as scalars
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TRACE("nla_grobner", tout << "ns = " << *ns << "\n";);
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TRACE("grobner", tout << "ns = " << *ns << "\n";);
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m_tmp_var_set.clear();
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m_tmp_var_set.clear();
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assert_eq_0(ns, get_fixed_vars_dep_from_row(row, m_dep_manager));
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assert_eq_0(ns, get_fixed_vars_dep_from_row(row, m_dep_manager));
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}
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}
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@ -250,11 +250,11 @@ nla_grobner::equation* nla_grobner::pick_next() {
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nla_grobner::equation* nla_grobner::simplify_using_processed(equation* eq) {
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nla_grobner::equation* nla_grobner::simplify_using_processed(equation* eq) {
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bool result = false;
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bool result = false;
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bool simplified;
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bool simplified;
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TRACE("grobner", tout << "simplifying: "; display_equation(tout, *eq); tout << "using already processed equalities\n";);
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TRACE("grobner", tout << "simplifying: "; display_equation(tout, *eq); tout << "using already processed equalities of size " << m_processed.size() << "\n";);
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do {
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do {
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simplified = false;
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simplified = false;
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for (equation const* p : m_processed) {
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for (equation const* p : m_processed) {
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equation * new_eq = simplify(p, eq);
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equation * new_eq = simplify_source_target(p, eq);
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if (new_eq) {
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if (new_eq) {
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result = true;
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result = true;
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simplified = true;
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simplified = true;
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@ -289,7 +289,7 @@ bool nla_grobner::simplify_target_monomials(equation const * source, equation *
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if (high_mon == nullptr)
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if (high_mon == nullptr)
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return false;
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return false;
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SASSERT(high_mon->all_factors_are_elementary());
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SASSERT(high_mon->all_factors_are_elementary());
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TRACE("nla_grobner", tout << "source = "; display_equation(tout, *source) << "target = "; display_equation(tout, *target) << "high_mon = " << *high_mon << "\n";);
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TRACE("grobner", tout << "source = "; display_equation(tout, *source) << "target = "; display_equation(tout, *target) << "high_mon = " << *high_mon << "\n";);
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nex * te = target->exp();
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nex * te = target->exp();
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nex_sum * targ_sum;
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nex_sum * targ_sum;
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@ -298,7 +298,7 @@ bool nla_grobner::simplify_target_monomials(equation const * source, equation *
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} else if (te->is_mul()) {
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} else if (te->is_mul()) {
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targ_sum = m_nex_creator.mk_sum(te);
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targ_sum = m_nex_creator.mk_sum(te);
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} else {
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} else {
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TRACE("nla_grobner", tout << "return false\n";);
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TRACE("grobner", tout << "return false\n";);
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return false;
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return false;
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}
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}
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@ -341,11 +341,11 @@ bool nla_grobner::divide_ignore_coeffs_check_only(nex_mul* t , const nex_mul* h)
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}
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}
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}
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}
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if (!p_swallowed) {
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if (!p_swallowed) {
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TRACE("nla_grobner", tout << "no div " << *t << " / " << *h << "\n";);
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TRACE("grobner", tout << "no div " << *t << " / " << *h << "\n";);
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return false;
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return false;
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}
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}
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}
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}
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TRACE("nla_grobner", tout << "division " << *t << " / " << *h << "\n";);
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TRACE("grobner", tout << "division " << *t << " / " << *h << "\n";);
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return true;
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return true;
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}
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}
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@ -457,7 +457,7 @@ bool nla_grobner::simplify_processed_with_eq(equation* eq) {
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to_delete.push_back(target);
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to_delete.push_back(target);
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}
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}
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for (equation* eq : to_insert)
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for (equation* eq : to_insert)
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m_processed.insert(eq);
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insert_processed(eq);
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for (equation* eq : to_remove)
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for (equation* eq : to_remove)
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m_processed.erase(eq);
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m_processed.erase(eq);
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for (equation* eq : to_delete)
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for (equation* eq : to_delete)
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@ -515,7 +515,7 @@ bool nla_grobner::compute_basis_step() {
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if (canceled()) return false;
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if (canceled()) return false;
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if (!simplify_processed_with_eq(eq)) return false;
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if (!simplify_processed_with_eq(eq)) return false;
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superpose(eq);
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superpose(eq);
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m_processed.insert(eq);
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insert_processed(eq);
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simplify_to_process(eq);
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simplify_to_process(eq);
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TRACE("grobner", tout << "end of iteration:\n"; display(tout););
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TRACE("grobner", tout << "end of iteration:\n"; display(tout););
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return false;
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return false;
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@ -637,70 +637,6 @@ void nla_grobner::display_equations(std::ostream & out, equation_set const & v,
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NOT_IMPLEMENTED_YET();
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NOT_IMPLEMENTED_YET();
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}
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}
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// void nla_grobner::simplify(ptr_vector<monomial> & monomials) {
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// NOT_IMPLEMENTED_YET();
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// // std::stable_sort(monomials.begin(), monomials.end(), m_monomial_lt);
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// // merge_monomials(monomials);
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// // normalize_coeff(monomials);
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// }
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nla_grobner::equation * nla_grobner::simplify(equation const * source, equation * target) {
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NOT_IMPLEMENTED_YET();
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/*
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TRACE("grobner", tout << "simplifying: "; display_equation(tout, *target); tout << "using: "; display_equation(tout, *source););
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if (source->get_num_monomials() == 0)
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return nullptr;
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m_stats.m_simplify++;
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bool result = false;
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bool simplified;
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do {
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simplified = false;
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unsigned i = 0;
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unsigned j = 0;
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unsigned sz = target->m_monomials.size();
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monomial const * LT = source->get_monomial(0);
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ptr_vector<monomial> & new_monomials = m_tmp_monomials;
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new_monomials.reset();
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ptr_vector<expr> & rest = m_tmp_vars1;
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for (; i < sz; i++) {
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monomial * curr = target->m_monomials[i];
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rest.reset();
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if (is_subset(LT, curr, rest)) {
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if (i == 0)
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m_changed_leading_term = true;
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if (!result) {
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// first time that source is being applied.
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target->m_dep = m_dep_manager.mk_join(target->m_dep, source->m_dep);
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}
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simplified = true;
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result = true;
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rational coeff = curr->m_coeff;
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coeff /= LT->m_coeff;
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coeff.neg();
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if (!rest.empty())
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target->m_lc = false;
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mul_append(1, source, coeff, rest, new_monomials);
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del_monomial(curr);
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target->m_monomials[i] = 0;
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}
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else {
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target->m_monomials[j] = curr;
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j++;
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}
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}
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if (simplified) {
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target->m_monomials.shrink(j);
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target->m_monomials.append(new_monomials.size(), new_monomials.c_ptr());
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simplify(target);
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}
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}
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while (simplified && !m_manager.canceled());
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TRACE("grobner", tout << "result: "; display_equation(tout, *target););
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return result ? target : nullptr;*/
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return nullptr;
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}
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std::ostream& nla_grobner::display_equation(std::ostream & out, const equation & eq) {
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std::ostream& nla_grobner::display_equation(std::ostream & out, const equation & eq) {
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out << "m_exp = " << *eq.exp() << "\n";
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out << "m_exp = " << *eq.exp() << "\n";
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out << "dep = "; display_dependency(out, eq.dep()) << "\n";
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out << "dep = "; display_dependency(out, eq.dep()) << "\n";
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@ -712,7 +648,7 @@ void nla_grobner::display(std::ostream & out) const {
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}
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}
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void nla_grobner::assert_eq_0(nex* e, ci_dependency * dep) {
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void nla_grobner::assert_eq_0(nex* e, ci_dependency * dep) {
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TRACE("nla_grobner", tout << "e = " << *e << "\n";);
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TRACE("grobner", tout << "e = " << *e << "\n";);
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if (e == nullptr)
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if (e == nullptr)
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return;
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return;
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equation * eq = new equation();
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equation * eq = new equation();
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@ -143,25 +143,10 @@ bool simplify_processed_with_eq(equation*);
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void init_equation(equation* eq, nex*, ci_dependency* d);
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void init_equation(equation* eq, nex*, ci_dependency* d);
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equation * simplify(equation const * source, equation * target);
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// bool less_than_on_vars(lpvar a, lpvar b) const {
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// const auto &aw = m_nex_creatorm_active_vars_weights[a];
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// const auto &ab = m_active_vars_weights[b];
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// if (aw < ab)
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// return true;
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// if (aw > ab)
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// return false;
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// // aw == ab
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// return a < b;
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// }
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// bool less_than_on_expr(const nex* a, const nex* b) const {
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// lt_on_vars lt = [this](lpvar j, lpvar k) {return less_than_on_vars(j, k);};
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// return less_than_nex(a, b, lt);
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// }
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std::ostream& display_dependency(std::ostream& out, ci_dependency*);
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std::ostream& display_dependency(std::ostream& out, ci_dependency*);
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void insert_to_process(equation *eq) { m_to_process.insert(eq); }
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void insert_to_process(equation *eq) { m_to_process.insert(eq); }
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void insert_processed(equation *eq) { m_processed.insert(eq); }
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void simplify_equations_to_process();
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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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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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ci_dependency* dep_from_vector( svector<lp::constraint_index> & fixed_vars_constraints);
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