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https://github.com/Z3Prover/z3
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port Grobner, add fixed var dependency to Horner's scheme
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
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parent
628bbcc676
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11 changed files with 70 additions and 43 deletions
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@ -176,9 +176,9 @@ 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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create_sum_from_row(row, m_nex_creator, *ns);
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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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TRACE("nla_grobner", tout << "ns = " << *ns << "\n";);
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ci_dependency * dep = nullptr;
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m_tmp_var_set.clear();
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assert_eq_0(ns, dep);
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}
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@ -195,7 +195,6 @@ void nla_grobner::init() {
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for (unsigned i : m_rows) {
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add_row(i);
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}
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set_active_vars_weights();
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simplify_equations_to_process();
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}
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@ -266,17 +265,35 @@ nla_grobner::equation* nla_grobner::simplify_using_processed(equation* eq) {
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}
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const nex_mul* nla_grobner::get_highest_monomial(const nex* e) const {
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switch (e->type()) {
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case expr_type::MUL:
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return to_mul(e);
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case expr_type::SUM:
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return to_mul((*to_sum(e))[0]);
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default:
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return nullptr;
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}
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}
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// source 3f + k = 0, so f = -k/3
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// target 2fg + e = 0
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// target is replaced by 2(-k/3)g + e = -2/3kg + e
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unsigned nla_grobner::simplify_loop_on_target_monomials(equation const * source, equation * target, bool & result) {
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TRACE("nla_grobner", tout << "source = " << *source->exp() << " , target = " << *target->exp() << "\n";);
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bool nla_grobner::simplify_target_monomials(equation const * source, equation * target) {
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const nex_mul * high_mon = get_highest_monomial(source->exp());
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if (high_mon == nullptr)
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return false;
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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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NOT_IMPLEMENTED_YET();
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/*
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unsigned i = 0;
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unsigned new_target_sz = 0;
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unsigned sz = target->exp()->size();
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//if (source->exp()->is_sum() && target->exp()->is_su
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NOT_IMPLEMENTED_YET();
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/*
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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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@ -305,7 +322,7 @@ unsigned nla_grobner::simplify_loop_on_target_monomials(equation const * source,
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target->m_monomials[n_sz++] = curr;
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}
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}*/
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return 1;
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return false;
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}
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@ -316,23 +333,18 @@ nla_grobner::equation * nla_grobner::simplify_source_target(equation const * sou
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m_stats.m_simplify++;
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bool result = false;
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do {
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unsigned target_new_size = simplify_loop_on_target_monomials(source, target, result);
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if (target_new_size < target->exp()->size()) {
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NOT_IMPLEMENTED_YET();
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/*
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target->m_monomials.shrink(target_new_size);
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target->m_monomials.append(m_tmp_monomials.size(), m_tmp_monomials.c_ptr());
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simplify_eq(target);
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*/
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if (simplify_target_monomials(source, target)) {
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result = true;
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} else {
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NOT_IMPLEMENTED_YET();
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break;
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}
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} while (!canceled());
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TRACE("grobner", tout << "result: " << result << "\n"; if (result) display_equation(tout, *target););
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if (result) {
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target->m_dep = m_dep_manager.mk_join(target->m_dep, source->m_dep);
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return target;
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}
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while (!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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}
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return nullptr;}
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void nla_grobner::process_simplified_target(ptr_buffer<equation>& to_insert, equation* new_target, equation*& target, ptr_buffer<equation>& to_remove) {
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if (new_target != target) {
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@ -549,6 +561,7 @@ void nla_grobner:: del_equations(unsigned old_size) {
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}
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void nla_grobner::display_equations(std::ostream & out, equation_set const & v, char const * header) const {
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out << header << "\n";
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NOT_IMPLEMENTED_YET();
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}
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