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https://github.com/Z3Prover/z3
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add branch / cut selection heuristic from solver=2
disabled for testing.
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@ -16,6 +16,7 @@ Author:
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Notes:
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--*/
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#include "params/arith_rewriter_params.hpp"
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#include "ast/rewriter/arith_rewriter.h"
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#include "ast/rewriter/poly_rewriter_def.h"
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@ -1046,19 +1047,21 @@ br_status arith_rewriter::mk_idiv_core(expr * arg1, expr * arg2, expr_ref & resu
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set_curr_sort(arg1->get_sort());
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numeral v1, v2;
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bool is_int;
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if (m_util.is_numeral(arg1, v1, is_int) && m_util.is_numeral(arg2, v2, is_int) && !v2.is_zero()) {
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bool is_num1 = m_util.is_numeral(arg1, v1, is_int);
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bool is_num2 = m_util.is_numeral(arg2, v2, is_int);
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if (is_num1 && is_num2 && !v2.is_zero()) {
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result = m_util.mk_numeral(div(v1, v2), is_int);
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return BR_DONE;
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}
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if (m_util.is_numeral(arg2, v2, is_int) && v2.is_one()) {
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if (is_num2 && v2.is_one()) {
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result = arg1;
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return BR_DONE;
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}
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if (m_util.is_numeral(arg2, v2, is_int) && v2.is_minus_one()) {
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if (is_num2 && v2.is_minus_one()) {
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result = m_util.mk_mul(m_util.mk_int(-1), arg1);
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return BR_REWRITE1;
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}
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if (m_util.is_numeral(arg2, v2, is_int) && v2.is_zero()) {
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if (is_num2 && v2.is_zero()) {
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return BR_FAILED;
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}
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if (arg1 == arg2) {
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@ -1066,7 +1069,7 @@ br_status arith_rewriter::mk_idiv_core(expr * arg1, expr * arg2, expr_ref & resu
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result = m.mk_ite(m.mk_eq(arg1, zero), m_util.mk_idiv(zero, zero), m_util.mk_int(1));
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return BR_REWRITE3;
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}
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if (m_util.is_numeral(arg2, v2, is_int) && v2.is_pos() && m_util.is_add(arg1)) {
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if (is_num2 && v2.is_pos() && m_util.is_add(arg1)) {
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expr_ref_buffer args(m);
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bool change = false;
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rational add(0);
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@ -1092,7 +1095,14 @@ br_status arith_rewriter::mk_idiv_core(expr * arg1, expr * arg2, expr_ref & resu
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expr_ref zero(m_util.mk_int(0), m);
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result = m.mk_ite(m.mk_eq(zero, arg2), m_util.mk_idiv(arg1, zero), result);
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return BR_REWRITE_FULL;
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}
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}
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#if 0
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expr* x = nullptr, *y = nullptr, *z = nullptr;
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if (is_num2 && m_util.is_idiv(arg1, x, y) && m_util.is_numeral(y, v1) && v1 > 0 && v2 > 0) {
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result = m_util.mk_idiv(x, m_util.mk_numeral(v1*v2, is_int));
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return BR_DONE;
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}
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#endif
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return BR_FAILED;
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}
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@ -377,10 +377,20 @@ bool gomory::is_gomory_cut_target(const row_strip<mpq>& row) {
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}
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int gomory::find_basic_var() {
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int result = -1;
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unsigned n = 0;
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int result = -1;
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unsigned min_row_size = UINT_MAX;
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// Prefer smaller row size
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#if 0
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result = lia.select_int_infeasible_var();
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if (result == -1)
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return result;
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const row_strip<mpq>& row = lra.get_row(lia.row_of_basic_column(result));
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if (is_gomory_cut_target(row))
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return result;
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#endif
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for (unsigned j : lra.r_basis()) {
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if (!lia.column_is_int_inf(j))
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@ -389,6 +399,7 @@ int gomory::find_basic_var() {
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if (!is_gomory_cut_target(row))
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continue;
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IF_VERBOSE(20, lia.display_row_info(verbose_stream(), lia.row_of_basic_column(j)));
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// Prefer smaller row size
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if (min_row_size == UINT_MAX ||
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2*row.size() < min_row_size ||
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(4*row.size() < 5*min_row_size && lia.random() % (++n) == 0)) {
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@ -52,16 +52,22 @@ lia_move int_branch::create_branch_on_column(int j) {
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int int_branch::find_inf_int_base_column() {
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#if 0
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return lia.select_int_infeasible_var();
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#endif
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int result = -1;
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mpq range;
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mpq new_range;
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mpq small_range_thresold(1024);
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mpq small_value(1024);
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unsigned n = 0;
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lar_core_solver & lcs = lra.m_mpq_lar_core_solver;
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unsigned prev_usage = 0; // to quiet down the compile
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unsigned k = 0;
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unsigned usage;
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unsigned j;
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// this loop looks for a column with the most usages, but breaks when
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// a column with a small span of bounds is found
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for (; k < lra.r_basis().size(); k++) {
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@ -69,12 +75,13 @@ int int_branch::find_inf_int_base_column() {
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if (!lia.column_is_int_inf(j))
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continue;
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usage = lra.usage_in_terms(j);
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if (lia.is_boxed(j) && (range = lcs.m_r_upper_bounds()[j].x - lcs.m_r_lower_bounds()[j].x - rational(2*usage)) <= small_range_thresold) {
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if (lia.is_boxed(j) && (range = lcs.m_r_upper_bounds()[j].x - lcs.m_r_lower_bounds()[j].x - rational(2*usage)) <= small_value) {
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result = j;
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k++;
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n = 1;
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break;
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}
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if (n == 0 || usage > prev_usage) {
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result = j;
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prev_usage = usage;
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@ -632,4 +632,73 @@ bool int_solver::non_basic_columns_are_at_bounds() const {
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return true;
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}
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int int_solver::select_int_infeasible_var() {
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int result = -1;
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mpq range;
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mpq new_range;
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mpq small_value(1024);
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unsigned n = 0;
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lar_core_solver & lcs = lra.m_mpq_lar_core_solver;
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unsigned prev_usage = 0; // to quiet down the compile
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unsigned k = 0;
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unsigned usage;
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unsigned j;
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enum state { small_box, is_small_value, any_value, not_found };
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state st = not_found;
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// 1. small box
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// 2. small value
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// 3. any value
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for (; k < lra.r_basis().size(); k++) {
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j = lra.r_basis()[k];
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if (!column_is_int_inf(j))
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continue;
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usage = lra.usage_in_terms(j);
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if (is_boxed(j) && (new_range = lcs.m_r_upper_bounds()[j].x - lcs.m_r_lower_bounds()[j].x - rational(2*usage)) <= small_value) {
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SASSERT(!is_fixed(j));
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if (st != small_box) {
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n = 0;
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st = small_box;
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}
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if (n == 0 || new_range < range) {
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result = j;
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range = new_range;
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n = 1;
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}
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else if (new_range == range && (random() % (++n) == 0)) {
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result = j;
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}
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continue;
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}
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if (st == small_box)
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continue;
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impq const& value = get_value(j);
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if (abs(value.x) < small_value ||
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(has_upper(j) && small_value > upper_bound(j).x - value.x) ||
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(has_lower(j) && small_value > value.x - lower_bound(j).x)) {
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if (st != is_small_value) {
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n = 0;
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st = is_small_value;
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}
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if (random() % (++n) == 0)
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result = j;
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}
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if (st == is_small_value)
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continue;
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SASSERT(st == not_found || st == any_value);
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st = any_value;
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if (n == 0 /*|| usage > prev_usage*/) {
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result = j;
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prev_usage = usage;
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n = 1;
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}
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else if (usage > 0 && /*usage == prev_usage && */ (random() % (++n) == 0))
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result = j;
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}
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return result;
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}
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}
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@ -129,5 +129,8 @@ public:
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void find_feasible_solution();
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lia_move hnf_cut();
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void patch_nbasic_column(unsigned j) { m_patcher.patch_nbasic_column(j); }
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int select_int_infeasible_var();
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};
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}
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@ -514,9 +514,11 @@ namespace smt {
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// SASSERT(m_value[x_i].is_rational()); // infinitesimals are not used for integer variables
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SASSERT(!m_value[x_i].is_int()); // the base variable is not assigned to an integer value.
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if (constrain_free_vars(r) || !is_gomory_cut_target(r)) {
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bool cfv = constrain_free_vars(r);
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if (cfv || !is_gomory_cut_target(r)) {
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TRACE("gomory_cut", tout << "failed to apply gomory cut:\n";
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tout << "constrain_free_vars(r): " << constrain_free_vars(r) << "\n";);
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tout << "constrain_free_vars(r): " << cfv << "\n";);
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return false;
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}
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