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https://github.com/Z3Prover/z3
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port more from hybridSMT
Signed-off-by: Lev Nachmanson <levnach@hotmail.com>
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10 changed files with 3061 additions and 4044 deletions
282
src/nlsat/nlsat_variable_ordering_strategy.cpp
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282
src/nlsat/nlsat_variable_ordering_strategy.cpp
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#include "nlsat/nlsat_variable_ordering_strategy.h"
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namespace nlsat {
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struct VOS_Var_Info_Collector::imp {
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pmanager & pm;
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atom_vector const & m_atoms;
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unsigned num_vars;
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Variable_Ordering_Strategy_Type m_vos_type;
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/** Maximum degree of this variable. */
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unsigned_vector m_max_degree;
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/** Sum of degrees of this variable within all polynomials. */
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unsigned_vector m_sum_poly_degree;
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/** Number of polynomials that contain this variable. */
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unsigned_vector m_num_polynomials;
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/** Maximum degree of the leading coefficient of this variable. */
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unsigned_vector m_max_lc_degree;
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/** Maximum of total degrees of terms that contain this variable. */
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unsigned_vector m_max_terms_tdegree;
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/** Sum of degrees of this variable within all terms. */
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unsigned_vector m_sum_term_degree;
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/** Number of terms that contain this variable. */
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unsigned_vector m_num_terms;
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unsigned_vector m_num_uni;
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numeral_vector m_coeffs;
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imp(pmanager & _pm, atom_vector const & atoms, unsigned _num_vars, unsigned _vos_type):
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pm(_pm),
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m_atoms(atoms),
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num_vars(_num_vars),
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m_vos_type(Variable_Ordering_Strategy_Type(_vos_type)) {
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m_max_degree.resize(num_vars, 0);
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m_sum_poly_degree.resize(num_vars, 0);
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m_num_polynomials.resize(num_vars, 0);
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if (m_vos_type != ONLYPOLY) {
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m_max_lc_degree.resize(num_vars, 0);
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m_max_terms_tdegree.resize(num_vars, 0);
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m_sum_term_degree.resize(num_vars, 0);
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m_num_terms.resize(num_vars, 0);
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m_num_uni.resize(num_vars, 0);
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m_coeffs.resize(num_vars, 0);
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}
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}
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void collect(monomial * m) {
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unsigned mdeg = 0;
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for (unsigned i = 0, sz = pm.size(m); i < sz; ++i) {
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var x = pm.get_var(m, i);
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mdeg += pm.degree_of(m, x);
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++m_num_terms[x];
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}
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for (unsigned i = 0, sz = pm.size(m); i < sz; ++i) {
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var x = pm.get_var(m, i);
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m_sum_term_degree[x] += mdeg;
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if (mdeg > m_max_terms_tdegree[x])
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m_max_terms_tdegree[x] = mdeg;
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unsigned lc_deg = mdeg - pm.degree_of(m, x);
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if (lc_deg > m_max_lc_degree[x])
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m_max_lc_degree[x] = lc_deg;
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}
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}
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void collect(poly * p) {
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var_vector vec_vars;
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pm.vars(p, vec_vars);
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if (m_vos_type == UNIVARIATE) {
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if (vec_vars.size() == 1)
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++m_num_uni[vec_vars[0]];
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}
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for (unsigned i = 0, sz = vec_vars.size(); i < sz; ++i) {
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var x = vec_vars[i];
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unsigned k = pm.degree(p, x);
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++m_num_polynomials[x];
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m_sum_poly_degree[x] += k;
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if (k > m_max_degree[x])
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m_max_degree[x] = k;
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if (m_vos_type == FEATURE){
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for (unsigned kl = 0; kl <= k; kl++) {
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scoped_numeral curr(pm.m());
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if (pm.const_coeff(p, x, kl, curr)) {
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pm.m().abs(curr);
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if (pm.m().gt(curr, m_coeffs[x])) {
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pm.m().set(m_coeffs[x], curr);
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}
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}
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}
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}
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}
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if (m_vos_type != ONLYPOLY && m_vos_type != UNIVARIATE){
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for (unsigned i = 0, sz = pm.size(p); i < sz; ++i) {
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collect(pm.get_monomial(p, i));
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}
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}
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}
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void collect(literal l) {
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bool_var b = l.var();
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atom * a = m_atoms[b];
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if (a == nullptr)
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return;
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if (a->is_ineq_atom()) {
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unsigned sz = to_ineq_atom(a)->size();
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for (unsigned i = 0; i < sz; i++) {
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collect(to_ineq_atom(a)->p(i));
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}
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}
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else {
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collect(to_root_atom(a)->p());
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}
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}
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void collect(clause const & c) {
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unsigned sz = c.size();
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for (unsigned i = 0; i < sz; i++)
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collect(c[i]);
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}
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void collect(clause_vector const & cs) {
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unsigned sz = cs.size();
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for (unsigned i = 0; i < sz; i++)
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collect(*(cs[i]));
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}
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struct univariate_reorder_lt {
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VOS_Var_Info_Collector::imp const *m_info;
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univariate_reorder_lt(VOS_Var_Info_Collector::imp const *info):m_info(info) {}
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bool operator()(var x, var y) const {
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if (m_info->m_num_uni[x] != m_info->m_num_uni[y])
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return m_info->m_num_uni[x] > m_info->m_num_uni[y];
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return x < y;
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}
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};
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struct feature_reorder_lt {
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VOS_Var_Info_Collector::imp const *m_info;
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feature_reorder_lt(VOS_Var_Info_Collector::imp const * info): m_info(info){}
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bool operator()(var x, var y) const {
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if (m_info->m_max_degree[x] != m_info->m_max_degree[y])
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return m_info->m_max_degree[x] > m_info->m_max_degree[y];
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if (m_info->m_max_terms_tdegree[x] != m_info->m_max_terms_tdegree[y])
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return m_info->m_max_terms_tdegree[x] > m_info->m_max_terms_tdegree[y];
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if (!m_info->pm.m().eq(m_info->m_coeffs[x], m_info->m_coeffs[y])) {
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return m_info->pm.m().lt(m_info->m_coeffs[x], m_info->m_coeffs[y]);
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}
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return x < y;
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}
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};
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struct brown_reorder_lt {
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VOS_Var_Info_Collector::imp const *m_info;
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brown_reorder_lt(VOS_Var_Info_Collector::imp const *info):m_info(info) {}
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bool operator()(var x, var y) const {
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// if (a.max_degree != b.max_degree)
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// return a.max_degree > b.max_degree;
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// if (a.max_terms_tdegree != b.max_terms_tdegree)
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// return a.max_terms_tdegree > b.max_terms_tdegree;
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// return a.num_terms > b.num_terms;
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if (m_info->m_max_degree[x] != m_info->m_max_degree[y])
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return m_info->m_max_degree[x] > m_info->m_max_degree[y];
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if (m_info->m_max_terms_tdegree[x] != m_info->m_max_terms_tdegree[y])
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return m_info->m_max_terms_tdegree[x] > m_info->m_max_terms_tdegree[y];
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if (m_info->m_num_terms[x] != m_info->m_num_terms[y])
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return m_info->m_num_terms[x] > m_info->m_num_terms[y];
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return x < y;
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}
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};
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struct triangular_reorder_lt {
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const VOS_Var_Info_Collector::imp *m_info;
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triangular_reorder_lt(VOS_Var_Info_Collector::imp const *info):m_info(info) {}
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bool operator()(var x, var y) const {
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// if (a.max_degree != b.max_degree)
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// return a.max_degree > b.max_degree;
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// if (a.max_lc_degree != b.max_lc_degree)
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// return a.max_lc_degree > b.max_lc_degree;
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// return a.sum_poly_degree > b.sum_poly_degree;
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if (m_info->m_max_degree[x] != m_info->m_max_degree[y])
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return m_info->m_max_degree[x] > m_info->m_max_degree[y];
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if (m_info->m_max_lc_degree[x] != m_info->m_max_lc_degree[y])
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return m_info->m_max_lc_degree[x] > m_info->m_max_lc_degree[y];
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if (m_info->m_sum_poly_degree[x] != m_info->m_sum_poly_degree[y])
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return m_info->m_sum_poly_degree[x] > m_info->m_sum_poly_degree[y];
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return x < y;
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}
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};
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struct onlypoly_reorder_lt {
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const VOS_Var_Info_Collector::imp *m_info;
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onlypoly_reorder_lt(VOS_Var_Info_Collector::imp const *info):m_info(info) {}
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bool operator()(var x, var y) const {
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// high degree first
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if (m_info->m_max_degree[x] != m_info->m_max_degree[y])
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return m_info->m_max_degree[x] > m_info->m_max_degree[y];
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//
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if (m_info->m_sum_poly_degree[x] != m_info->m_sum_poly_degree[y])
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return m_info->m_sum_poly_degree[x] > m_info->m_sum_poly_degree[y];
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// more constrained first
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if (m_info->m_num_polynomials[x] != m_info->m_num_polynomials[y])
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return m_info->m_num_polynomials[x] > m_info->m_num_polynomials[y];
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return x < y;
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}
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};
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bool check_invariant() const {return true;} // what is the invariant
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void operator()(var_vector &perm) {
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var_vector new_order;
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for (var x = 0; x < num_vars; x++) {
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new_order.push_back(x);
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}
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if (m_vos_type == BROWN) {
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std::sort(new_order.begin(), new_order.end(), brown_reorder_lt(this));
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}
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else if (m_vos_type == TRIANGULAR) {
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std::sort(new_order.begin(), new_order.end(), triangular_reorder_lt(this));
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}
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else if (m_vos_type == ONLYPOLY) {
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std::sort(new_order.begin(), new_order.end(), onlypoly_reorder_lt(this));
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}
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else if(m_vos_type == UNIVARIATE){
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std::sort(new_order.begin(), new_order.end(), univariate_reorder_lt(this));
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}
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else if(m_vos_type == FEATURE){
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std::sort(new_order.begin(), new_order.end(), feature_reorder_lt(this));
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}
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else {
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UNREACHABLE();
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}
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TRACE("linxi_reorder",
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tout << "new order: ";
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for (unsigned i = 0; i < num_vars; i++)
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tout << new_order[i] << " ";
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tout << "\n";
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);
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perm.resize(num_vars, 0);
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for (var x = 0; x < num_vars; x++) {
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perm[new_order[x]] = x;
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}
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SASSERT(check_invariant());
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}
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// std::ostream& display(std::ostream & out, display_var_proc const & proc) {
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// unsigned sz = m_num_occs.size();
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// for (unsigned i = 0; i < sz; i++) {
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// proc(out, i); out << " -> " << m_max_degree[i] << " : " << m_num_occs[i] << "\n";
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// }
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// return out;
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// }
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// std::ostream& display(std::ostream & out, display_var_proc const & proc) {
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// for (unsigned i = 0; i < num_vars; ++i) {
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// proc(out, i); out << " -> " << m_max_degree[i] << " : " << m_sum_poly_degree[i] << "\n";
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// }
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// return out;
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// }
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};
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VOS_Var_Info_Collector::VOS_Var_Info_Collector(pmanager & _pm, atom_vector const & _atoms, unsigned _num_vars, unsigned _vos_type) {
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m_imp = alloc(imp, _pm, _atoms, _num_vars, _vos_type);
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}
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VOS_Var_Info_Collector::~VOS_Var_Info_Collector() {
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dealloc(m_imp);
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}
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void VOS_Var_Info_Collector::collect(clause_vector const & cs) {
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m_imp->collect(cs);
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}
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void VOS_Var_Info_Collector::operator()(var_vector &perm) {
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m_imp->operator()(perm);
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}
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}
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