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z3/src/test/lp/lp.cpp
Lev Nachmanson 1fb24ebc35 fix lp_tst
2023-03-08 10:27:05 -08:00

1970 lines
68 KiB
C++

/*++
Copyright (c) 2017 Microsoft Corporation
Module Name:
<name>
Abstract:
<abstract>
Author:
Lev Nachmanson (levnach)
Revision History:
--*/
#include <limits>
#ifndef _WINDOWS
#include <dirent.h>
#endif
#include <algorithm>
#include <string>
#include <set>
#include <iostream>
#include <sys/types.h>
#include <sys/stat.h>
#include <cstdlib>
#include <ctime>
#include <stdlib.h>
#include <utility>
#include "math/lp/lp_utils.h"
#include "test/lp/smt_reader.h"
#include "test/lp/argument_parser.h"
#include "test/lp/test_file_reader.h"
#include "math/lp/indexed_value.h"
#include "math/lp/lar_solver.h"
#include "math/lp/numeric_pair.h"
#include "util/stacked_value.h"
#include "math/lp/u_set.h"
#include "util/stopwatch.h"
#include <cstdlib>
#include "test/lp/gomory_test.h"
#include "math/lp/matrix.h"
#include "math/lp/hnf.h"
#include "math/lp/general_matrix.h"
#include "math/lp/lp_bound_propagator.h"
#include "math/lp/nla_solver.h"
#include "math/lp/horner.h"
#include "math/lp/cross_nested.h"
#include "math/lp/int_cube.h"
#include "math/lp/emonics.h"
#include "math/lp/static_matrix.h"
bool my_white_space(const char & a) {
return a == ' ' || a == '\t';
}
size_t number_of_whites(const std::string & s) {
size_t i = 0;
for(;i < s.size(); i++)
if (!my_white_space(s[i])) return i;
return i;
}
size_t number_of_whites_from_end(const std::string & s) {
size_t ret = 0;
for(int i = static_cast<int>(s.size()) - 1;i >= 0; i--)
if (my_white_space(s[i])) ret++;else break;
return ret;
}
std::string &ltrim(std::string &s) {
s.erase(0, number_of_whites(s));
return s;
}
// trim from end
inline std::string &rtrim(std::string &s) {
// s.erase(std::find_if(s.rbegin(), s.rend(), std::not1(std::ptr_fun<int, int>(std::isspace))).base(), s.end());
s.erase(s.end() - number_of_whites_from_end(s), s.end());
return s;
}
// trim from both ends
inline std::string &trim(std::string &s) {
return ltrim(rtrim(s));
}
vector<std::string> string_split(const std::string &source, const char *delimiter, bool keep_empty) {
vector<std::string> results;
size_t prev = 0;
size_t next = 0;
while ((next = source.find_first_of(delimiter, prev)) != std::string::npos) {
if (keep_empty || (next - prev != 0)) {
results.push_back(source.substr(prev, next - prev));
}
prev = next + 1;
}
if (prev < source.size()) {
results.push_back(source.substr(prev));
}
return results;
}
vector<std::string> split_and_trim(const std::string &line) {
auto split = string_split(line, " \t", false);
vector<std::string> ret;
for (auto s : split) {
ret.push_back(trim(s));
}
return ret;
}
namespace nla {
void test_horner();
void test_monics();
void test_order_lemma();
void test_monotone_lemma();
void test_basic_sign_lemma();
void test_tangent_lemma();
void test_basic_lemma_for_mon_zero_from_monomial_to_factors();
void test_basic_lemma_for_mon_zero_from_factors_to_monomial();
void test_basic_lemma_for_mon_neutral_from_monomial_to_factors();
void test_basic_lemma_for_mon_neutral_from_factors_to_monomial();
void test_cn_on_expr(nex_sum *t, cross_nested& cn) {
t = to_sum(cn.get_nex_creator().simplify(t));
TRACE("nla_test", tout << "t=" << *t << '\n';);
cn.run(t);
}
void test_nex_order() {
#if Z3DEBUG
enable_trace("nla_cn");
enable_trace("nla_cn_details");
// enable_trace("nla_cn_details_");
enable_trace("nla_test");
nex_creator r;
r.set_number_of_vars(3);
for (unsigned j = 0; j < r.get_number_of_vars(); j++)
r.set_var_weight(j, 10 - j);
nex_var* a = r.mk_var(0);
nex_var* b = r.mk_var(1);
nex_var* c = r.mk_var(2);
ENSURE(r.gt(a, b));
ENSURE(r.gt(b, c));
ENSURE(r.gt(a, c));
nex* ab = r.mk_mul(a, b);
nex* ba = r.mk_mul(b, a);
nex* ac = r.mk_mul(a, c);
ENSURE(r.gt(ab, ac));
ENSURE(!r.gt(ac, ab));
nex* _3ac = r.mk_mul(rational(3), a, c);
nex* _2ab = r.mk_mul(rational(2), a, b);
ENSURE(r.gt(ab, _3ac));
ENSURE(!r.gt(_3ac, ab));
ENSURE(!r.gt(a, ab));
ENSURE(r.gt(ab, a));
ENSURE(r.gt(_2ab, _3ac));
ENSURE(!r.gt(_3ac, _2ab));
nex* _2a = r.mk_mul(rational(2), a);
ENSURE(!r.gt(_2a, _2ab));
ENSURE(r.gt(_2ab, _2a));
ENSURE(nex_creator::equal(ab, ba));
nex_sum * five_a_pl_one = r.mk_sum(r.mk_mul(rational(5), a), r.mk_scalar(rational(1)));
nex_mul * poly = r.mk_mul(five_a_pl_one, b);
nex * p = r.simplify(poly);
std::cout << "poly = " << *poly << " , p = " << *p << "\n";
#endif
}
void test_simplify() {
#ifdef Z3DEBUG
nex_creator r;
cross_nested cn(
[](const nex* n) {
TRACE("nla_cn_test", tout << *n << "\n";);
return false;
} ,
[](unsigned) { return false; },
[]() { return 1; }, // for random
r);
enable_trace("nla_cn");
enable_trace("nla_cn_details");
// enable_trace("nla_cn_details_");
enable_trace("nla_test");
r.set_number_of_vars(3);
for (unsigned j = 0; j < r.get_number_of_vars(); j++)
r.set_var_weight(j, j);
nex_var* a = r.mk_var(0);
nex_var* b = r.mk_var(1);
nex_var* c = r.mk_var(2);
auto bc = r.mk_mul(b, c);
auto a_plus_bc = r.mk_sum(a, bc);
auto two_a_plus_bc = r.mk_mul(r.mk_scalar(rational(2)), a_plus_bc);
auto simp_two_a_plus_bc = r.simplify(two_a_plus_bc);
TRACE("nla_test", tout << * simp_two_a_plus_bc << "\n";);
ENSURE(nex_creator::equal(simp_two_a_plus_bc, two_a_plus_bc));
auto simp_a_plus_bc = r.simplify(a_plus_bc);
ENSURE(to_sum(simp_a_plus_bc)->size() > 1);
auto three_ab = r.mk_mul(r.mk_scalar(rational(3)), a, b);
auto three_ab_square = r.mk_mul(three_ab, three_ab, three_ab);
TRACE("nla_test", tout << "before simplify " << *three_ab_square << "\n";);
three_ab_square = to_mul(r.simplify(three_ab_square));
TRACE("nla_test", tout << *three_ab_square << "\n";);
const rational& s = three_ab_square->coeff();
ENSURE(s == rational(27));
auto m = r.mk_mul(a, a);
TRACE("nla_test_", tout << "m = " << *m << "\n";);
/*
auto n = r.mk_mul(b, b, b, b, b, b, b);
n->add_child_in_power(b, 7);
n->add_child(r.mk_scalar(rational(3)));
n->add_child_in_power(r.mk_scalar(rational(2)), 2);
n->add_child(r.mk_scalar(rational(1)));
TRACE("nla_test_", tout << "n = " << *n << "\n";);
m->add_child_in_power(n, 3);
n->add_child_in_power(r.mk_scalar(rational(1, 3)), 2);
TRACE("nla_test_", tout << "m = " << *m << "\n";);
nex_sum * e = r.mk_sum(a, r.mk_sum(b, m));
TRACE("nla_test", tout << "before simplify e = " << *e << "\n";);
e = to_sum(r.simplify(e));
TRACE("nla_test", tout << "simplified e = " << *e << "\n";);
ENSURE(e->children().size() > 2);
nex_sum * e_m = r.mk_sum();
for (const nex* ex: to_sum(e)->children()) {
nex* ce = r.mk_mul(r.clone(ex), r.mk_scalar(rational(3)));
TRACE("nla_test", tout << "before simpl ce = " << *ce << "\n";);
ce = r.simplify(ce);
TRACE("nla_test", tout << "simplified ce = " << *ce << "\n";);
e_m->add_child(ce);
}
e->add_child(e_m);
TRACE("nla_test", tout << "before simplify sum e = " << *e << "\n";);
e = to_sum(r.simplify(e));
TRACE("nla_test", tout << "simplified sum e = " << *e << "\n";);
nex * pr = r.mk_mul(a, b, b);
TRACE("nla_test", tout << "before simplify pr = " << *pr << "\n";);
r.simplify(pr);
TRACE("nla_test", tout << "simplified sum e = " << *pr << "\n";);
*/
#endif
}
void test_cn_shorter() {
// nex_sum *clone;
// nex_creator cr;
// cross_nested cn(
// [](const nex* n) {
// TRACE("nla_test", tout <<"cn form = " << *n << "\n";
// );
// return false;
// } ,
// [](unsigned) { return false; },
// []{ return 1; }, cr);
// enable_trace("nla_test");
// enable_trace("nla_cn");
// enable_trace("nla_cn_test");
// enable_trace("nla_cn_details");
// // enable_trace("nla_cn_details_");
// enable_trace("nla_test_details");
// cr.set_number_of_vars(20);
// for (unsigned j = 0; j < cr.get_number_of_vars(); j++)
// cr.set_var_weight(j,j);
// nex_var* a = cr.mk_var(0);
// nex_var* b = cr.mk_var(1);
// nex_var* c = cr.mk_var(2);
// nex_var* d = cr.mk_var(3);
// nex_var* e = cr.mk_var(4);
// nex_var* g = cr.mk_var(6);
// nex* min_1 = cr.mk_scalar(rational(-1));
// // test_cn_on_expr(min_1*c*e + min_1*b*d + min_1*a*b + a*c);
// nex_mul* bcg = cr.mk_mul(b, c, g);
// /*
// bcg->add_child(min_1);
// nex* abcd = cr.mk_mul(a, b, c, d);
// nex* eae = cr.mk_mul(e, a, e);
// nex* three_eac = cr.mk_mul(e, a, c); to_mul(three_eac)->coeff() = rational(3);
// nex* _6aad = cr.mk_mul(cr.mk_scalar(rational(6)), a, a, d);
// clone = to_sum(cr.clone(cr.mk_sum(_6aad, abcd, eae, three_eac)));
// clone = to_sum(cr.simplify(clone));
// TRACE("nla_test", tout << "clone = " << *clone << "\n";);
// // test_cn_on_expr(cr.mk_sum(aad, abcd, aaccd, add, eae, eac, ed), cn);
// test_cn_on_expr(clone, cn);
// */
}
void test_cn() {
// #ifdef Z3DEBUG
// test_cn_shorter();
// nex_creator cr;
// cross_nested cn(
// [](const nex* n) {
// TRACE("nla_test", tout <<"cn form = " << *n << "\n";);
// return false;
// } ,
// [](unsigned) { return false; },
// []{ return 1; }, cr);
// enable_trace("nla_test");
// enable_trace("nla_cn_test");
// // enable_trace("nla_cn");
// // enable_trace("nla_test_details");
// cr.set_number_of_vars(20);
// for (unsigned j = 0; j < cr.get_number_of_vars(); j++)
// cr.set_var_weight(j, j);
// nex_var* a = cr.mk_var(0);
// nex_var* b = cr.mk_var(1);
// nex_var* c = cr.mk_var(2);
// nex_var* d = cr.mk_var(3);
// nex_var* e = cr.mk_var(4);
// nex_var* g = cr.mk_var(6);
// nex_sum * a_p_ae_sq = cr.mk_sum(a, cr.mk_mul(a, e, e));
// a_p_ae_sq = to_sum(cr.simplify(a_p_ae_sq));
// test_cn_on_expr(a_p_ae_sq, cn);
// nex* min_1 = cr.mk_scalar(rational(-1));
// // test_cn_on_expr(min_1*c*e + min_1*b*d + min_1*a*b + a*c);
// nex* bcd = cr.mk_mul(b, c, d);
// nex_mul* bcg = cr.mk_mul(b, c, g);
// /*
// bcg->add_child(min_1);
// nex_sum* t = cr.mk_sum(bcd, bcg);
// test_cn_on_expr(t, cn);
// nex* abd = cr.mk_mul(a, b, d);
// nex* abc = cr.mk_mul(a, b, c);
// nex* abcd = cr.mk_mul(a, b, c, d);
// nex* aaccd = cr.mk_mul(a, a, c, c, d);
// nex* add = cr.mk_mul(a, d, d);
// nex* eae = cr.mk_mul(e, a, e);
// nex* eac = cr.mk_mul(e, a, c);
// nex* ed = cr.mk_mul(e, d);
// nex* cbd = cr.mk_mul(c, b, d);
// nex* acd = cr.mk_mul(a, c, d);
// nex* _6aad = cr.mk_mul(cr.mk_scalar(rational(6)), a, a, d);
// nex * clone = cr.clone(cr.mk_sum(_6aad, abcd, aaccd, add, eae, eac, ed));
// clone = cr.simplify(clone);
// ENSURE(cr.is_simplified(clone));
// TRACE("nla_test", tout << "clone = " << *clone << "\n";);
// // test_cn_on_expr(cr.mk_sum(aad, abcd, aaccd, add, eae, eac, ed), cn);
// test_cn_on_expr(to_sum(clone), cn);
// TRACE("nla_test", tout << "done\n";);
// test_cn_on_expr(cr.mk_sum(abd, abc, cbd, acd), cn);
// TRACE("nla_test", tout << "done\n";);*/
// #endif
// // test_cn_on_expr(a*b*b*d*d + a*b*b*c*d + c*b*b*d);
// // TRACE("nla_test", tout << "done\n";);
// // test_cn_on_expr(a*b*d + a*b*c + c*b*d);
}
} // end of namespace nla
namespace lp {
unsigned seed = 1;
random_gen g_rand;
static unsigned my_random() {
return g_rand();
}
struct simple_column_namer:public column_namer
{
std::string get_variable_name(unsigned j) const override {
return std::string("x") + T_to_string(j);
}
};
vector<int> allocate_basis_heading(unsigned count) { // the rest of initialization will be handled by lu_QR
vector<int> basis_heading(count, -1);
return basis_heading;
}
void init_basic_part_of_basis_heading(vector<unsigned> & basis, vector<int> & basis_heading) {
lp_assert(basis_heading.size() >= basis.size());
unsigned m = basis.size();
for (unsigned i = 0; i < m; i++) {
unsigned column = basis[i];
basis_heading[column] = i;
}
}
void init_non_basic_part_of_basis_heading(vector<int> & basis_heading, vector<unsigned> & non_basic_columns) {
non_basic_columns.clear();
for (int j = basis_heading.size(); j--;){
if (basis_heading[j] < 0) {
non_basic_columns.push_back(j);
// the index of column j in m_nbasis is (- basis_heading[j] - 1)
basis_heading[j] = - static_cast<int>(non_basic_columns.size());
}
}
}
void init_basis_heading_and_non_basic_columns_vector(vector<unsigned> & basis,
vector<int> & basis_heading,
vector<unsigned> & non_basic_columns) {
init_basic_part_of_basis_heading(basis, basis_heading);
init_non_basic_part_of_basis_heading(basis_heading, non_basic_columns);
}
void change_basis(unsigned entering, unsigned leaving, vector<unsigned>& basis, vector<unsigned>& nbasis, vector<int> & basis_heading) {
int place_in_basis = basis_heading[leaving];
int place_in_non_basis = - basis_heading[entering] - 1;
basis_heading[entering] = place_in_basis;
basis_heading[leaving] = -place_in_non_basis - 1;
basis[place_in_basis] = entering;
nbasis[place_in_non_basis] = leaving;
}
int perm_id = 0;
bool get_int_from_args_parser(const char * option, argument_parser & args_parser, unsigned & n) {
std::string s = args_parser.get_option_value(option);
if (!s.empty()) {
n = atoi(s.c_str());
return true;
}
return false;
}
bool get_double_from_args_parser(const char * option, argument_parser & args_parser, double & n) {
std::string s = args_parser.get_option_value(option);
if (!s.empty()) {
n = atof(s.c_str());
return true;
}
return false;
}
void get_time_limit_and_max_iters_from_parser(argument_parser & args_parser, unsigned & time_limit); // forward definition
int get_random_rows() {
return 5 + my_random() % 2;
}
int get_random_columns() {
return 5 + my_random() % 3;
}
int get_random_int() {
return -1 + my_random() % 2; // (1.0 + RAND_MAX);
}
#ifndef _WINDOWS
void fill_file_names(vector<std::string> &file_names, std::set<std::string> & minimums) {
char *home_dir = getenv("HOME");
if (home_dir == nullptr) {
std::cout << "cannot find home directory, don't know how to find the files";
return;
}
std::string home_dir_str(home_dir);
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/l0redund.mps");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/l1.mps");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/l2.mps");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/l3.mps");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/l4.mps");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/l4fix.mps");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/plan.mps");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/samp2.mps");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/murtagh.mps");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/l0.mps");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/AFIRO.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SC50B.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SC50A.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/KB2.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SC105.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/STOCFOR1.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/ADLITTLE.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/BLEND.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SCAGR7.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SC205.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SHARE2B.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/RECIPELP.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/LOTFI.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/VTP-BASE.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SHARE1B.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/BOEING2.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/BORE3D.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SCORPION.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/CAPRI.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/BRANDY.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SCAGR25.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SCTAP1.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/ISRAEL.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SCFXM1.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/BANDM.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/E226.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/AGG.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/GROW7.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/ETAMACRO.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/FINNIS.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SCSD1.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/STANDATA.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/STANDGUB.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/BEACONFD.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/STAIR.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/STANDMPS.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/GFRD-PNC.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SCRS8.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/BOEING1.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/MODSZK1.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/DEGEN2.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/FORPLAN.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/AGG2.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/AGG3.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SCFXM2.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SHELL.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/PILOT4.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SCSD6.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SHIP04S.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SEBA.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/GROW15.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/FFFFF800.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/BNL1.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/PEROLD.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/QAP8.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SCFXM3.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SHIP04L.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/GANGES.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SCTAP2.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/GROW22.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SHIP08S.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/PILOT-WE.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/MAROS.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/STOCFOR2.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/25FV47.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SHIP12S.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SCSD8.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/FIT1P.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SCTAP3.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SIERRA.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/PILOTNOV.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/CZPROB.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/FIT1D.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/PILOT-JA.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SHIP08L.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/BNL2.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/NESM.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/CYCLE.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/acc-tight5.mps");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/SHIP12L.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/DEGEN3.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/GREENBEA.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/GREENBEB.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/80BAU3B.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/TRUSS.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/D2Q06C.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/WOODW.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/QAP12.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/D6CUBE.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/PILOT.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/DFL001.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/WOOD1P.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/FIT2P.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/PILOT87.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/STOCFOR3.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/QAP15.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/FIT2D.SIF");
file_names.push_back(home_dir_str + "/projects/lp/src/tests/math/lp/test_files/netlib/MAROS-R7.SIF");
minimums.insert("/projects/lp/src/tests/math/lp/test_files/netlib/FIT2P.SIF");
minimums.insert("/projects/lp/src/tests/math/lp/test_files/netlib/DFL001.SIF");
minimums.insert("/projects/lp/src/tests/math/lp/test_files/netlib/D2Q06C.SIF");
minimums.insert("/projects/lp/src/tests/math/lp/test_files/netlib/80BAU3B.SIF");
minimums.insert("/projects/lp/src/tests/math/lp/test_files/netlib/GREENBEB.SIF");
minimums.insert("/projects/lp/src/tests/math/lp/test_files/netlib/GREENBEA.SIF");
minimums.insert("/projects/lp/src/tests/math/lp/test_files/netlib/BNL2.SIF");
minimums.insert("/projects/lp/src/tests/math/lp/test_files/netlib/SHIP08L.SIF");
minimums.insert("/projects/lp/src/tests/math/lp/test_files/netlib/FIT1D.SIF");
minimums.insert("/projects/lp/src/tests/math/lp/test_files/netlib/SCTAP3.SIF");
minimums.insert("/projects/lp/src/tests/math/lp/test_files/netlib/SCSD8.SIF");
minimums.insert("/projects/lp/src/tests/math/lp/test_files/netlib/SCSD6.SIF");
minimums.insert("/projects/lp/src/tests/math/lp/test_files/netlib/MAROS-R7.SIF");
}
void test_out_dir(std::string out_dir) {
auto *out_dir_p = opendir(out_dir.c_str());
if (out_dir_p == nullptr) {
std::cout << "creating directory " << out_dir << std::endl;
#ifdef LEAN_WINDOWS
int res = mkdir(out_dir.c_str());
#else
int res = mkdir(out_dir.c_str(), S_IRWXU | S_IRWXG | S_IROTH | S_IXOTH);
#endif
if (res) {
std::cout << "Cannot open output directory \"" << out_dir << "\"" << std::endl;
}
return;
}
closedir(out_dir_p);
}
void find_dir_and_file_name(std::string a, std::string & dir, std::string& fn) {
// todo: make it system independent
size_t last_slash_pos = a.find_last_of('/');
if (last_slash_pos >= a.size()) {
std::cout << "cannot find file name in " << a << std::endl;
throw;
}
dir = a.substr(0, last_slash_pos);
// std::cout << "dir = " << dir << std::endl;
fn = a.substr(last_slash_pos + 1);
// std::cout << "fn = " << fn << std::endl;
}
#endif
std::string read_line(bool & end, std::ifstream & file) {
std::string s;
if (!getline(file, s)) {
end = true;
return std::string();
}
end = false;
return s;
}
bool contains(std::string const & s, char const * pattern) {
return s.find(pattern) != std::string::npos;
}
void setup_args_parser(argument_parser & parser) {
parser.add_option_with_help_string("-monics", "test emonics");
parser.add_option_with_help_string("-nex_order", "test nex order");
parser.add_option_with_help_string("-nla_cn", "test cross nornmal form");
parser.add_option_with_help_string("-nla_sim", "test nex simplify");
parser.add_option_with_help_string("-nla_blfmz_mf", "test_basic_lemma_for_mon_zero_from_factor_to_monomial");
parser.add_option_with_help_string("-nla_blfmz_fm", "test_basic_lemma_for_mon_zero_from_monomials_to_factor");
parser.add_option_with_help_string("-nla_order", "test nla_solver order lemma");
parser.add_option_with_help_string("-nla_monot", "test nla_solver order lemma");
parser.add_option_with_help_string("-nla_tan", "test_tangent_lemma");
parser.add_option_with_help_string("-nla_bsl", "test_basic_sign_lemma");
parser.add_option_with_help_string("-horner", "test horner's heuristic");
parser.add_option_with_help_string("-nla_blnt_mf", "test_basic_lemma_for_mon_neutral_from_monomial_to_factors");
parser.add_option_with_help_string("-nla_blnt_fm", "test_basic_lemma_for_mon_neutral_from_factors_to_monomial");
parser.add_option_with_help_string("-hnf", "test hermite normal form");
parser.add_option_with_help_string("-gomory", "gomory");
parser.add_option_with_help_string("-intd", "test integer_domain");
parser.add_option_with_help_string("-xyz_sample", "run a small interactive scenario");
parser.add_option_with_after_string_with_help("--percent_for_enter", "which percent of columns check for entering column");
parser.add_option_with_help_string("--totalinf", "minimizes the total infeasibility instead of diminishing infeasibility of the rows");
parser.add_option_with_after_string_with_help("--rep_frq", "the report frequency, in how many iterations print the cost and other info ");
parser.add_option_with_help_string("--smt", "smt file format");
parser.add_option_with_after_string_with_help("--filelist", "the file containing the list of files");
parser.add_option_with_after_string_with_help("--file", "the input file name");
parser.add_option_with_after_string_with_help("--random_seed", "random seed");
parser.add_option_with_help_string("--bp", "bound propagation");
parser.add_option_with_help_string("--min", "will look for the minimum for the given file if --file is used; the default is looking for the max");
parser.add_option_with_help_string("--max", "will look for the maximum for the given file if --file is used; it is the default behavior");
parser.add_option_with_after_string_with_help("--max_iters", "maximum total iterations in a core solver stage");
parser.add_option_with_after_string_with_help("--time_limit", "time limit in seconds");
parser.add_option_with_help_string("--mpq", "solve for rational numbers");
parser.add_option_with_after_string_with_help("--simplex_strategy", "sets simplex strategy for rational number");
parser.add_option_with_help_string("--test_lp_0", "solve a small lp");
parser.add_option_with_help_string("--solve_some_mps", "solves a list of mps problems");
parser.add_option_with_after_string_with_help("--test_file_directory", "loads files from the directory for testing");
parser.add_option_with_after_string_with_help("--out_dir", "setting the output directory for tests, if not set /tmp is used");
parser.add_option_with_help_string("--dual", "using the dual simplex solver");
parser.add_option_with_help_string("--compare_with_primal", "using the primal simplex solver for comparison");
parser.add_option_with_help_string("--lar", "test lar_solver");
parser.add_option_with_after_string_with_help("--maxng", "max iterations without progress");
parser.add_option_with_help_string("--randomize_lar", "test randomize functionality");
parser.add_option_with_help_string("--smap", "test stacked_map");
parser.add_option_with_help_string("--term", "simple term test");
parser.add_option_with_help_string("--eti"," run a small evidence test for total infeasibility scenario");
parser.add_option_with_help_string("--row_inf", "forces row infeasibility search");
parser.add_option_with_help_string("-pd", "presolve with double solver");
parser.add_option_with_help_string("--test_int_set", "test int_set");
parser.add_option_with_help_string("--test_mpq", "test rationals");
parser.add_option_with_help_string("--test_mpq_np", "test rationals");
parser.add_option_with_help_string("--test_mpq_np_plus", "test rationals using plus instead of +=");
parser.add_option_with_help_string("--maximize_term", "test maximize_term()");
}
struct fff { int a; int b;};
void test_stacked_unsigned() {
std::cout << "test stacked unsigned" << std::endl;
stacked_value<unsigned> v(0);
v = 1;
v = 2;
v.push();
v = 3;
v = 4;
v.pop();
lp_assert(v == 2);
v ++;
v++;
std::cout << "before push v=" << v << std::endl;
v.push();
v++;
v.push();
v+=1;
std::cout << "v = " << v << std::endl;
v.pop(2);
lp_assert(v == 4);
const unsigned & rr = v;
std::cout << rr << std:: endl;
}
void test_stacked_value() {
test_stacked_unsigned();
}
void test_stacked_vector() {
std::cout << "test_stacked_vector" << std::endl;
stacked_vector<int> v;
v.push();
v.push_back(0);
v.push_back(1);
v.push();
v[0] = 3;
v[0] = 0;
v.push_back(2);
v.push_back(3);
v.push_back(34);
v.push();
v[1]=3;
v[2] = 3;
v.push();
v[0]= 7;
v[1] = 9;
v.pop(2);
if (v.size())
v[v.size() -1 ] = 7;
v.push();
v.push_back(33);
v[0] = 13;
v.pop();
}
void test_stacked() {
test_stacked_value();
test_stacked_vector();
}
char * find_home_dir() {
#ifdef _WINDOWS
#else
char * home_dir = getenv("HOME");
if (home_dir == nullptr) {
std::cout << "cannot find home directory" << std::endl;
return nullptr;
}
#endif
return nullptr;
}
template <typename T>
void print_chunk(T * arr, unsigned len) {
for (unsigned i = 0; i < len; i++) {
std::cout << arr[i] << ", ";
}
std::cout << std::endl;
}
struct mem_cpy_place_holder {
static void mem_copy_hook(int * destination, unsigned num) {
if (destination == nullptr || num == 0) {
throw "bad parameters";
}
}
};
void finalize(unsigned ret) {
/*
finalize_util_module();
finalize_numerics_module();
*/
// return ret;
}
void get_time_limit_and_max_iters_from_parser(argument_parser & args_parser, unsigned & time_limit) {
std::string time_limit_string = args_parser.get_option_value("--time_limit");
if (!time_limit_string.empty()) {
time_limit = atoi(time_limit_string.c_str());
} else {
time_limit = 0;
}
}
std::string create_output_file_name(bool minimize, std::string file_name, bool use_mpq) {
std::string ret = file_name + "_lp_tst_" + (minimize?"min":"max");
if (use_mpq) return ret + "_mpq.out";
return ret + ".out";
}
std::string create_output_file_name_for_glpsol(bool minimize, std::string file_name){
return file_name + (minimize?"_min":"_max") + "_glpk_out";
}
int run_glpk(std::string file_name, std::string glpk_out_file_name, bool minimize, unsigned time_limit) {
std::string minmax(minimize?"--min":"--max");
std::string tmlim = time_limit > 0 ? std::string(" --tmlim ") + std::to_string(time_limit)+ " ":std::string();
std::string command_line = std::string("glpsol --nointopt --nomip ") + minmax + tmlim + + " -o " + glpk_out_file_name +" " + file_name + " > /dev/null";
return system(command_line.c_str());
}
std::string get_status(std::string file_name) {
std::ifstream f(file_name);
if (!f.is_open()) {
std::cout << "cannot open " << file_name << std::endl;
throw 0;
}
std::string str;
while (getline(f, str)) {
if (str.find("Status") != std::string::npos) {
vector<std::string> tokens = split_and_trim(str);
if (tokens.size() != 2) {
std::cout << "unexpected Status string " << str << std::endl;
throw 0;
}
return tokens[1];
}
}
std::cout << "cannot find the status line in " << file_name << std::endl;
throw 0;
}
struct sort_pred {
bool operator()(const std::pair<std::string, int> &left, const std::pair<std::string, int> &right) {
return left.second < right.second;
}
};
vector<std::string> get_file_names_from_file_list(std::string filelist) {
std::ifstream file(filelist);
if (!file.is_open()) {
std::cout << "cannot open " << filelist << std::endl;
return vector<std::string>();
}
vector<std::string> ret;
bool end;
do {
std::string s = read_line(end, file);
if (end)
break;
if (s.empty())
break;
ret.push_back(s);
} while (true);
return ret;
}
void test_numeric_pair() {
numeric_pair<lp::mpq> a;
numeric_pair<lp::mpq> b(2, lp::mpq(6, 2));
a = b;
numeric_pair<lp::mpq> c(0.1, 0.5);
a += 2*c;
a -= c;
lp_assert (a == b + c);
numeric_pair<lp::mpq> d = a * 2;
std::cout << a << std::endl;
lp_assert(b == b);
lp_assert(b < a);
lp_assert(b <= a);
lp_assert(a > b);
lp_assert(a != b);
lp_assert(a >= b);
lp_assert(-a < b);
lp_assert(a < 2 * b);
lp_assert(b + b > a);
lp_assert(lp::mpq(2.1) * b + b > a);
lp_assert(-b * lp::mpq(2.1) - b < lp::mpq(0.99) * a);
std::cout << - b * lp::mpq(2.1) - b << std::endl;
lp_assert(-b *(lp::mpq(2.1) + 1) == - b * lp::mpq(2.1) - b);
}
void get_matrix_dimensions(std::ifstream & f, unsigned & m, unsigned & n) {
std::string line;
getline(f, line);
getline(f, line);
vector<std::string> r = split_and_trim(line);
m = atoi(r[1].c_str());
getline(f, line);
r = split_and_trim(line);
n = atoi(r[1].c_str());
}
void print_st(lp_status status) {
std::cout << lp_status_to_string(status) << std::endl;
}
void test_term() {
lar_solver solver;
unsigned _x = 0;
unsigned _y = 1;
var_index x = solver.add_named_var(_x, true, "x");
var_index y = solver.add_named_var(_y, true, "y");
enable_trace("lar_solver");
enable_trace("cube");
vector<std::pair<mpq, var_index>> pairs;
pairs.push_back(std::pair<mpq, var_index>(mpq(2), x));
pairs.push_back(std::pair<mpq, var_index>(mpq(1), y));
int ti = 0;
unsigned x_plus_y = solver.add_term(pairs, ti++);
solver.add_var_bound(x_plus_y, lconstraint_kind::GE, mpq(5, 3));
solver.add_var_bound(x_plus_y, lconstraint_kind::LE, mpq(14, 3));
pairs.pop_back();
pairs.push_back(std::pair<mpq, var_index>(mpq(-1), y));
unsigned x_minus_y = solver.add_term(pairs, ti++);
solver.add_var_bound(x_minus_y, lconstraint_kind::GE, mpq(5, 3));
solver.add_var_bound(x_minus_y, lconstraint_kind::LE, mpq(14, 3));
auto status = solver.solve();
std::cout << lp_status_to_string(status) << std::endl;
std::unordered_map<var_index, mpq> model;
if (status != lp_status::OPTIMAL) {
std::cout << "non optimal" << std::endl;
return;
}
std::cout << solver.constraints();
std::cout << "\ntableau before cube\n";
solver.pp(std::cout).print();
std::cout << "\n";
int_solver i_s(solver);
solver.set_int_solver(&i_s);
int_cube cuber(i_s);
lia_move m = cuber();
std::cout <<"\n" << lia_move_to_string(m) << std::endl;
model.clear();
solver.get_model(model);
for (auto & t : model) {
std::cout << solver.get_variable_name(t.first) << " = " << t.second.get_double() << ",";
}
std::cout << "\ntableu after cube\n";
solver.pp(std::cout).print();
std::cout << "Ax_is_correct = " << solver.ax_is_correct() << "\n";
}
void test_evidence_for_total_inf_simple(argument_parser & args_parser) {
lar_solver solver;
var_index x = solver.add_var(0, false);
var_index y = solver.add_var(1, false);
solver.add_var_bound(x, LE, mpq(-1));
solver.add_var_bound(y, GE, mpq(0));
vector<std::pair<mpq, var_index>> ls;
ls.push_back(std::pair<mpq, var_index>(mpq(1), x));
ls.push_back(std::pair<mpq, var_index>(mpq(1), y));
unsigned j = solver.add_term(ls, 1);
solver.add_var_bound(j, GE, mpq(1));
ls.pop_back();
ls.push_back(std::pair<mpq, var_index>(- mpq(1), y));
j = solver.add_term(ls, 2);
solver.add_var_bound(j, GE, mpq(0));
auto status = solver.solve();
std::cout << lp_status_to_string(status) << std::endl;
std::unordered_map<var_index, mpq> model;
lp_assert(solver.get_status() == lp_status::INFEASIBLE);
}
void test_bound_propagation_one_small_sample1() {
/*
(<= (+ a (* (- 1.0) b)) 0.0)
(<= (+ b (* (- 1.0) x_13)) 0.0)
--> (<= (+ a (* (- 1.0) c)) 0.0)
the inequality on (<= a c) is obtained from a triangle inequality (<= a b) (<= b c).
If b becomes basic variable, then it is likely the old solver ends up with a row that implies (<= a c).
a - b <= 0.0
b - c <= 0.0
got to get a <= c
*/
std::function<bool (unsigned, bool, bool, const mpq & )> bound_is_relevant =
[&](unsigned j, bool is_lower_bound, bool strict, const rational& bound_val) {
return true;
};
lar_solver ls;
unsigned a = ls.add_var(0, false);
unsigned b = ls.add_var(1, false);
unsigned c = ls.add_var(2, false);
vector<std::pair<mpq, var_index>> coeffs;
coeffs.push_back(std::pair<mpq, var_index>(mpq(1), a));
coeffs.push_back(std::pair<mpq, var_index>(mpq(-1), c));
ls.add_term(coeffs, -1);
coeffs.pop_back();
coeffs.push_back(std::pair<mpq, var_index>(mpq(-1), b));
ls.add_term(coeffs, -1);
coeffs.clear();
coeffs.push_back(std::pair<mpq, var_index>(mpq(1), a));
coeffs.push_back(std::pair<mpq, var_index>(mpq(-1), b));
// ls.add_constraint(coeffs, LE, zero_of_type<mpq>());
// coeffs.clear();
// coeffs.push_back(std::pair<mpq, var_index>(mpq(1), b));
// coeffs.push_back(std::pair<mpq, var_index>(mpq(-1), c));
// ls.add_constraint(coeffs, LE, zero_of_type<mpq>());
// vector<implied_bound> ev;
// ls.add_var_bound(a, LE, mpq(1));
// ls.solve();
// my_bound_propagator bp(ls);
// ls.propagate_bounds_for_touched_rows(bp);
// std::cout << " bound ev from test_bound_propagation_one_small_sample1" << std::endl;
// for (auto & be : bp.m_ibounds) {
// std::cout << "bound\n";
// ls.print_implied_bound(be, std::cout);
// } // todo: restore test
}
void test_bound_propagation_one_small_samples() {
test_bound_propagation_one_small_sample1();
/*
(>= x_46 0.0)
(<= x_29 0.0)
(not (<= x_68 0.0))
(<= (+ (* (/ 1001.0 1998.0) x_10) (* (- 1.0) x_151) x_68) (- (/ 1001.0 999.0)))
(<= (+ (* (/ 1001.0 999.0) x_9)
(* (- 1.0) x_152)
(* (/ 1001.0 999.0) x_151)
(* (/ 1001.0 999.0) x_68))
(- (/ 1502501.0 999000.0)))
(not (<= (+ (* (/ 999.0 2.0) x_10) (* (- 1.0) x_152) (* (- (/ 999.0 2.0)) x_151))
(/ 1001.0 2.0)))
(not (<= x_153 0.0))z
(>= (+ x_9 (* (- (/ 1001.0 999.0)) x_10) (* (- 1.0) x_153) (* (- 1.0) x_68))
(/ 5003.0 1998.0))
--> (not (<= (+ x_10 x_46 (* (- 1.0) x_29)) 0.0))
and
(<= (+ a (* (- 1.0) b)) 0.0)
(<= (+ b (* (- 1.0) x_13)) 0.0)
--> (<= (+ a (* (- 1.0) x_13)) 0.0)
In the first case, there typically are no atomic formulas for bounding x_10. So there is never some
basic lemma of the form (>= x46 0), (<= x29 0), (>= x10 0) -> (not (<= (+ x10 x46 (- x29)) 0)).
Instead the bound on x_10 falls out from a bigger blob of constraints.
In the second case, the inequality on (<= x19 x13) is obtained from a triangle inequality (<= x19 x9) (<= x9 x13).
If x9 becomes basic variable, then it is likely the old solver ends up with a row that implies (<= x19 x13).
*/
}
void test_bound_propagation_one_row() {
lar_solver ls;
unsigned x0 = ls.add_var(0, false);
unsigned x1 = ls.add_var(1, false);
vector<std::pair<mpq, var_index>> c;
c.push_back(std::pair<mpq, var_index>(mpq(1), x0));
c.push_back(std::pair<mpq, var_index>(mpq(-1), x1));
// todo : restore test
// ls.add_constraint(c, EQ, one_of_type<mpq>());
// vector<implied_bound> ev;
// ls.add_var_bound(x0, LE, mpq(1));
// ls.solve();
// my_bound_propagator bp(ls);
// ls.propagate_bounds_for_touched_rows(bp);
}
void test_bound_propagation_one_row_with_bounded_vars() {
lar_solver ls;
unsigned x0 = ls.add_var(0, false);
unsigned x1 = ls.add_var(1, false);
vector<std::pair<mpq, var_index>> c;
c.push_back(std::pair<mpq, var_index>(mpq(1), x0));
c.push_back(std::pair<mpq, var_index>(mpq(-1), x1));
// todo: restore test
// ls.add_constraint(c, EQ, one_of_type<mpq>());
// vector<implied_bound> ev;
// ls.add_var_bound(x0, GE, mpq(-3));
// ls.add_var_bound(x0, LE, mpq(3));
// ls.add_var_bound(x0, LE, mpq(1));
// ls.solve();
// my_bound_propagator bp(ls);
// ls.propagate_bounds_for_touched_rows(bp);
}
void test_bound_propagation_one_row_mixed() {
lar_solver ls;
unsigned x0 = ls.add_var(0, false);
unsigned x1 = ls.add_var(1, false);
vector<std::pair<mpq, var_index>> c;
c.push_back(std::pair<mpq, var_index>(mpq(1), x0));
c.push_back(std::pair<mpq, var_index>(mpq(-1), x1));
// todo: restore test
// ls.add_constraint(c, EQ, one_of_type<mpq>());
// vector<implied_bound> ev;
// ls.add_var_bound(x1, LE, mpq(1));
// ls.solve();
// my_bound_propagator bp(ls);
// ls.propagate_bounds_for_touched_rows(bp);
}
void test_bound_propagation_two_rows() {
lar_solver ls;
unsigned x = ls.add_var(0, false);
unsigned y = ls.add_var(1, false);
unsigned z = ls.add_var(2, false);
vector<std::pair<mpq, var_index>> c;
c.push_back(std::pair<mpq, var_index>(mpq(1), x));
c.push_back(std::pair<mpq, var_index>(mpq(2), y));
c.push_back(std::pair<mpq, var_index>(mpq(3), z));
// todo: restore test
// ls.add_constraint(c, GE, one_of_type<mpq>());
// c.clear();
// c.push_back(std::pair<mpq, var_index>(mpq(3), x));
// c.push_back(std::pair<mpq, var_index>(mpq(2), y));
// c.push_back(std::pair<mpq, var_index>(mpq(y), z));
// ls.add_constraint(c, GE, one_of_type<mpq>());
// ls.add_var_bound(x, LE, mpq(2));
// vector<implied_bound> ev;
// ls.add_var_bound(y, LE, mpq(1));
// ls.solve();
// my_bound_propagator bp(ls);
// ls.propagate_bounds_for_touched_rows(bp);
}
void test_total_case_u() {
std::cout << "test_total_case_u\n";
lar_solver ls;
unsigned x = ls.add_var(0, false);
unsigned y = ls.add_var(1, false);
unsigned z = ls.add_var(2, false);
vector<std::pair<mpq, var_index>> c;
c.push_back(std::pair<mpq, var_index>(mpq(1), x));
c.push_back(std::pair<mpq, var_index>(mpq(2), y));
c.push_back(std::pair<mpq, var_index>(mpq(3), z));
// todo: restore test
// ls.add_constraint(c, LE, one_of_type<mpq>());
// ls.add_var_bound(x, GE, zero_of_type<mpq>());
// ls.add_var_bound(y, GE, zero_of_type<mpq>());
// vector<implied_bound> ev;
// ls.add_var_bound(z, GE, zero_of_type<mpq>());
// ls.solve();
// my_bound_propagator bp(ls);
// ls.propagate_bounds_for_touched_rows(bp);
}
bool contains_j_kind(unsigned j, lconstraint_kind kind, const mpq & rs, const vector<implied_bound> & ev) {
for (auto & e : ev) {
if (e.m_j == j && e.m_bound == rs && e.kind() == kind)
return true;
}
return false;
}
void test_total_case_l(){
std::cout << "test_total_case_l\n";
lar_solver ls;
unsigned x = ls.add_var(0, false);
unsigned y = ls.add_var(1, false);
unsigned z = ls.add_var(2, false);
vector<std::pair<mpq, var_index>> c;
c.push_back(std::pair<mpq, var_index>(mpq(1), x));
c.push_back(std::pair<mpq, var_index>(mpq(2), y));
c.push_back(std::pair<mpq, var_index>(mpq(3), z));
// todo: restore test
// ls.add_constraint(c, GE, one_of_type<mpq>());
// ls.add_var_bound(x, LE, one_of_type<mpq>());
// ls.add_var_bound(y, LE, one_of_type<mpq>());
// ls.settings().presolve_with_double_solver_for_lar = true;
// vector<implied_bound> ev;
// ls.add_var_bound(z, LE, zero_of_type<mpq>());
// ls.solve();
// my_bound_propagator bp(ls);
// ls.propagate_bounds_for_touched_rows(bp);
// lp_assert(ev.size() == 4);
// lp_assert(contains_j_kind(x, GE, - one_of_type<mpq>(), ev));
}
void test_bound_propagation() {
test_total_case_u();
test_bound_propagation_one_small_samples();
test_bound_propagation_one_row();
test_bound_propagation_one_row_with_bounded_vars();
test_bound_propagation_two_rows();
test_bound_propagation_one_row_mixed();
test_total_case_l();
}
void test_int_set() {
u_set s(4);
s.insert(2);
s.insert(1);
s.insert(2);
lp_assert(s.contains(2));
lp_assert(s.size() == 2);
s.erase(2);
lp_assert(s.size() == 1);
s.erase(2);
lp_assert(s.size() == 1);
s.insert(3);
s.insert(2);
s.clear();
lp_assert(s.size() == 0);
}
void test_rationals_no_numeric_pairs() {
stopwatch sw;
vector<mpq> c;
for (unsigned j = 0; j < 10; j ++)
c.push_back(mpq(my_random()%100, 1 + my_random()%100 ));
vector<mpq> x;
for (unsigned j = 0; j < 10; j ++)
x.push_back(mpq(my_random()%100, 1 + my_random()%100 ));
unsigned k = 500000;
mpq r=zero_of_type<mpq>();
sw.start();
for (unsigned j = 0; j < k; j++){
mpq val = zero_of_type<mpq>();
for (unsigned j=0;j< c.size(); j++){
val += c[j]*x[j];
}
r += val;
}
sw.stop();
std::cout << "operation with rationals no pairs " << sw.get_seconds() << std::endl;
std::cout << T_to_string(r) << std::endl;
}
void test_rationals_no_numeric_pairs_plus() {
stopwatch sw;
vector<mpq> c;
for (unsigned j = 0; j < 10; j ++)
c.push_back(mpq(my_random()%100, 1 + my_random()%100 ));
vector<mpq> x;
for (unsigned j = 0; j < 10; j ++)
x.push_back(mpq(my_random()%100, 1 + my_random()%100 ));
unsigned k = 500000;
mpq r=zero_of_type<mpq>();
sw.start();
for (unsigned j = 0; j < k; j++){
mpq val = zero_of_type<mpq>();
for (unsigned j=0;j< c.size(); j++){
val = val + c[j]*x[j];
}
r = r + val;
}
sw.stop();
std::cout << "operation with rationals no pairs " << sw.get_seconds() << std::endl;
std::cout << T_to_string(r) << std::endl;
}
void test_rationals() {
stopwatch sw;
vector<rational> c;
for (unsigned j = 0; j < 10; j ++)
c.push_back(rational(my_random()%100, 1 + my_random()%100));
vector<numeric_pair<rational>> x;
for (unsigned j = 0; j < 10; j ++)
x.push_back(numeric_pair<rational>(rational(my_random()%100, 1 + my_random()%100 )));
std::cout << "x = ";
print_vector(x, std::cout);
unsigned k = 1000000;
numeric_pair<rational> r=zero_of_type<numeric_pair<rational>>();
sw.start();
for (unsigned j = 0; j < k; j++) {
for (unsigned i = 0; i < c.size(); i++) {
r+= c[i] * x[i];
}
}
sw.stop();
std::cout << "operation with rationals " << sw.get_seconds() << std::endl;
std::cout << T_to_string(r) << std::endl;
}
void get_random_interval(bool& neg_inf, bool& pos_inf, int& x, int &y) {
int i = my_random() % 10;
if (i == 0) {
neg_inf = true;
} else {
neg_inf = false;
x = my_random() % 100;
}
i = my_random() % 10;
if (i == 0) {
pos_inf = true;
} else {
pos_inf = false;
if (!neg_inf) {
y = x + my_random() % (101 - x);
lp_assert(y >= x);
}
else {
y = my_random() % 100;
}
}
lp_assert((neg_inf || (0 <= x && x <= 100)) && (pos_inf || (0 <= y && y <= 100)));
}
void test_gomory_cut_0() {
gomory_test g(
[](unsigned j) { return "v" + T_to_string(j);} // name_function_p
,
[](unsigned j) { //get_value_p
if (j == 1)
return mpq(2730, 1727);
if (j == 2)
return zero_of_type<mpq>();
if (j == 3) return mpq(3);
lp_assert(false);
return zero_of_type<mpq>();
},
[](unsigned j) { // at_low_p
if (j == 1)
return false;
if (j == 2)
return true;
if (j == 3)
return true;
lp_assert(false);
return false;
},
[](unsigned j) { // at_upper
if (j == 1)
return false;
if (j == 2)
return true;
if (j == 3)
return false;
lp_assert(false);
return false;
},
[](unsigned j) { // lower_bound
if (j == 1) {
lp_assert(false); //unlimited from below
return impq(0);
}
if (j == 2)
return impq(0);
if (j == 3)
return impq(3);
lp_assert(false);
return impq(0);
},
[](unsigned j) { // upper
if (j == 1) {
lp_assert(false); //unlimited from above
return impq(0);
}
if (j == 2)
return impq(0);
if (j == 3)
return impq(10);
lp_assert(false);
return impq(0);
},
[] (unsigned) { return 0; },
[] (unsigned) { return 0; }
);
lar_term t;
mpq k;
explanation expl;
unsigned inf_col = 1;
vector<std::pair<mpq, unsigned>> row;
row.push_back(std::make_pair(mpq(1), 1));
row.push_back(std::make_pair(mpq(2731, 1727), 2));
row.push_back(std::make_pair(mpq(-910, 1727), 3));
g.mk_gomory_cut(t, k, expl, inf_col, row);
}
void test_gomory_cut_1() {
gomory_test g(
[](unsigned j) { return "v" + T_to_string(j);} // name_function_p
,
[](unsigned j) { //get_value_p
if (j == 1)
return mpq(-2);
if (j == 2)
return mpq(4363334, 2730001);
if (j == 3)
return mpq(1);
lp_assert(false);
return zero_of_type<mpq>();
},
[](unsigned j) { // at_low_p
if (j == 1)
return false;
if (j == 2)
return false;
if (j == 3)
return true;
lp_assert(false);
return false;
},
[](unsigned j) { // at_upper
if (j == 1)
return true;
if (j == 2)
return false;
if (j == 3)
return true;
lp_assert(false);
return false;
},
[](unsigned j) { // lower_bound
if (j == 1) {
lp_assert(false); //unlimited from below
return impq(0);
}
if (j == 2)
return impq(1);
if (j == 3)
return impq(1);
lp_assert(false);
return impq(0);
},
[](unsigned j) { // upper
if (j == 1) {
return impq(-2);
}
if (j == 2)
return impq(3333);
if (j == 3)
return impq(10000);
lp_assert(false);
return impq(0);
},
[] (unsigned) { return 0; },
[] (unsigned) { return 0; }
);
lar_term t;
mpq k;
explanation expl;
unsigned inf_col = 2;
vector<std::pair<mpq, unsigned>> row;
row.push_back(std::make_pair(mpq(1726667, 2730001), 1));
row.push_back(std::make_pair(mpq(-910000, 2730001), 3));
row.push_back(std::make_pair(mpq(1), 2));
g.mk_gomory_cut(t, k, expl, inf_col, row);
}
void call_hnf(general_matrix & A);
void test_hnf_m_less_than_n() {
#ifdef Z3DEBUG
general_matrix A;
vector<mpq> v;
// example 4.3 from Nemhauser, Wolsey
v.push_back(mpq(2));
v.push_back(mpq(6));
v.push_back(mpq(1));
v.push_back(mpq(3));
A.push_row(v);
v.clear();
v.push_back(mpq(4));
v.push_back(mpq(7));
v.push_back(mpq(7));
v.push_back(mpq(3));
A.push_row(v);
v.clear();
v.push_back(mpq(0));
v.push_back(mpq(0));
v.push_back(mpq(1));
v.push_back(mpq(5));
A.push_row(v);
call_hnf(A);
#endif
}
void test_hnf_m_greater_than_n() {
#ifdef Z3DEBUG
general_matrix A;
vector<mpq> v;
v.push_back(mpq(2));
v.push_back(mpq(6));
A.push_row(v);
v.clear();
v.push_back(mpq(4));
v.push_back(mpq(7));
A.push_row(v);
v.clear();
v.push_back(mpq(0));
v.push_back(mpq(0));
A.push_row(v);
v.clear();
v.push_back(mpq(12));
v.push_back(mpq(55));
A.push_row(v);
call_hnf(A);
#endif
}
void cutting_the_mix_example_1() {
mpq sev(7);
mpq nine(9);
mpq d, u, vv;
hnf_calc::extended_gcd_minimal_uv(sev, nine, d, u, vv);
std::cout << "d = " << d << ", u = " << u << ", vv = " << vv << std::endl;
hnf_calc::extended_gcd_minimal_uv(sev, -nine, d, u, vv);
std::cout << "d = " << d << ", u = " << u << ", vv = " << vv << std::endl;
hnf_calc::extended_gcd_minimal_uv(-nine, -nine, d, u, vv);
std::cout << "d = " << d << ", u = " << u << ", vv = " << vv << std::endl;
hnf_calc::extended_gcd_minimal_uv(-sev*2, sev, d, u, vv);
std::cout << "d = " << d << ", u = " << u << ", vv = " << vv << std::endl;
hnf_calc::extended_gcd_minimal_uv(mpq(24), mpq(-7), d, u, vv);
std::cout << "d = " << d << ", u = " << u << ", vv = " << vv << std::endl;
hnf_calc::extended_gcd_minimal_uv(-mpq(24), mpq(7), d, u, vv);
std::cout << "d = " << d << ", u = " << u << ", vv = " << vv << std::endl;
hnf_calc::extended_gcd_minimal_uv(mpq(24), mpq(7), d, u, vv);
std::cout << "d = " << d << ", u = " << u << ", vv = " << vv << std::endl;
hnf_calc::extended_gcd_minimal_uv(-mpq(21), mpq(7), d, u, vv);
std::cout << "d = " << d << ", u = " << u << ", vv = " << vv << std::endl;
hnf_calc::extended_gcd_minimal_uv(mpq(21), -mpq(7), d, u, vv);
std::cout << "d = " << d << ", u = " << u << ", vv = " << vv << std::endl;
}
#ifdef Z3DEBUG
void fill_general_matrix(general_matrix & M) {
unsigned m = M.row_count();
unsigned n = M.column_count();
for (unsigned i = 0; i < m; i++)
for (unsigned j = 0; j < n; j++)
M[i][j] = mpq(static_cast<int>(my_random() % 13) - 6);
}
void call_hnf(general_matrix& A) {
svector<unsigned> r;
mpq d = hnf_calc::determinant_of_rectangular_matrix(A, r, mpq((int)1000000000));
A.shrink_to_rank(r);
hnf<general_matrix> h(A, d);
}
void test_hnf_for_dim(int m) {
general_matrix M(m, m + my_random() % m);
fill_general_matrix(M);
call_hnf(M);
}
void test_hnf_1_2() {
std::cout << "test_hnf_1_2" << std::endl;
general_matrix A;
vector<mpq> v;
v.push_back(mpq(5));
v.push_back(mpq(26));
A.push_row(v);
call_hnf(A);
std::cout << "test_hnf_1_2 passed" << std::endl;
}
void test_hnf_2_2() {
std::cout << "test_hnf_2_2" << std::endl;
general_matrix A;
vector<mpq> v;
v.push_back(mpq(5));
v.push_back(mpq(26));
A.push_row(v);
v.clear();
v.push_back(mpq(2));
v.push_back(mpq(11));
A.push_row(v);
call_hnf(A);
std::cout << "test_hnf_2_2 passed" << std::endl;
}
void test_hnf_3_3() {
std::cout << "test_hnf_3_3" << std::endl;
general_matrix A;
vector<mpq> v;
v.push_back(mpq(-3));
v.push_back(mpq(0));
v.push_back(mpq(-1));
A.push_row(v);
v.clear();
v.push_back(mpq(-1));
v.push_back(mpq(0));
v.push_back(mpq(-6));
A.push_row(v);
v.clear();
v.push_back(mpq(-2));
v.push_back(mpq(-4));
v.push_back(mpq(-3));
A.push_row(v);
call_hnf(A);
std::cout << "test_hnf_3_3 passed" << std::endl;
}
void test_hnf_4_4() {
std::cout << "test_hnf_4_4" << std::endl;
general_matrix A;
vector<mpq> v;
v.push_back(mpq(4));
v.push_back(mpq(3));
v.push_back(mpq(-5));
v.push_back(mpq(6));
A.push_row(v);
v.clear();
v.push_back(mpq(1));
v.push_back(mpq(-3));
v.push_back(mpq(1));
v.push_back(mpq(-4));
A.push_row(v);
v.clear();
v.push_back(mpq(4));
v.push_back(mpq(4));
v.push_back(mpq(4));
v.push_back(mpq(4));
A.push_row(v);
v.clear();
v.push_back(mpq(2));
v.push_back(mpq(-2));
v.push_back(mpq(-5));
v.push_back(mpq(6));
A.push_row(v);
call_hnf(A);
std::cout << "test_hnf_4_4 passed" << std::endl;
}
void test_hnf_5_5() {
std::cout << "test_hnf_5_5" << std::endl;
general_matrix A;
vector<mpq> v;
v.push_back(mpq(-4));
v.push_back(mpq(5));
v.push_back(mpq(-5));
v.push_back(mpq(1));
v.push_back(mpq(-3));
A.push_row(v);
v.clear();
v.push_back(mpq(3));
v.push_back(mpq(-1));
v.push_back(mpq(2));
v.push_back(mpq(3));
v.push_back(mpq(-5));
A.push_row(v);
v.clear();
v.push_back(mpq(0));
v.push_back(mpq(6));
v.push_back(mpq(-5));
v.push_back(mpq(-6));
v.push_back(mpq(-2));
A.push_row(v);
v.clear();
v.push_back(mpq(1));
v.push_back(mpq(0));
v.push_back(mpq(-4));
v.push_back(mpq(-4));
v.push_back(mpq(4));
A.push_row(v);
v.clear();
v.push_back(mpq(-2));
v.push_back(mpq(3));
v.push_back(mpq(6));
v.push_back(mpq(-5));
v.push_back(mpq(-1));
A.push_row(v);
call_hnf(A);
std::cout << "test_hnf_5_5 passed" << std::endl;
}
void test_small_generated_hnf() {
std::cout << "test_small_rank_hnf" << std::endl;
general_matrix A;
vector<mpq> v;
v.push_back(mpq(5));
v.push_back(mpq(26));
A.push_row(v);
v.clear();
v.push_back(zero_of_type<mpq>());
v.push_back(zero_of_type<mpq>());
A.push_row(v);
call_hnf(A);
std::cout << "test_small_rank_hnf passed" << std::endl;
}
void test_larger_generated_hnf() {
std::cout << "test_larger_generated_rank_hnf" << std::endl;
general_matrix A;
vector<mpq> v;
v.clear();
v.push_back(mpq(5));
v.push_back(mpq(6));
v.push_back(mpq(3));
v.push_back(mpq(1));
A.push_row(v);
v.clear();
v.push_back(mpq(5));
v.push_back(mpq(2));
v.push_back(mpq(3));
v.push_back(mpq(7));
A.push_row(v);
v.clear();
v.push_back(mpq(5));
v.push_back(mpq(6));
v.push_back(mpq(3));
v.push_back(mpq(1));
A.push_row(v);
v.clear();
v.push_back(mpq(5));
v.push_back(mpq(2));
v.push_back(mpq(3));
v.push_back(mpq(7));
A.push_row(v);
call_hnf(A);
std::cout << "test_larger_generated_rank_hnf passed" << std::endl;
}
#endif
void test_maximize_term() {
std::cout << "test_maximize_term\n";
lar_solver solver;
int_solver i_solver(solver); // have to create it too
unsigned _x = 0;
unsigned _y = 1;
var_index x = solver.add_var(_x, false);
var_index y = solver.add_var(_y, true);
vector<std::pair<mpq, var_index>> term_ls;
term_ls.push_back(std::pair<mpq, var_index>(mpq(1), x));
term_ls.push_back(std::pair<mpq, var_index>(mpq(-1), y));
unsigned term_x_min_y = solver.add_term(term_ls, -1);
term_ls.clear();
term_ls.push_back(std::pair<mpq, var_index>(mpq(2), x));
term_ls.push_back(std::pair<mpq, var_index>(mpq(2), y));
unsigned term_2x_pl_2y = solver.add_term(term_ls, -1);
solver.add_var_bound(term_x_min_y, LE, zero_of_type<mpq>());
solver.add_var_bound(term_2x_pl_2y, LE, mpq(5));
solver.find_feasible_solution();
lp_assert(solver.get_status() == lp_status::OPTIMAL);
std::cout << solver.constraints();
std::unordered_map<var_index, mpq> model;
solver.get_model(model);
for (auto p : model) {
std::cout<< "v[" << p.first << "] = " << p.second << std::endl;
}
std::cout << "calling int_solver\n";
explanation ex;
lia_move lm = i_solver.check(&ex);
VERIFY(lm == lia_move::sat);
impq term_max;
lp_status st = solver.maximize_term(term_2x_pl_2y, term_max);
std::cout << "status = " << lp_status_to_string(st) << std::endl;
std::cout << "term_max = " << term_max << std::endl;
solver.get_model(model);
for (auto p : model) {
std::cout<< "v[" << p.first << "] = " << p.second << std::endl;
}
}
#ifdef Z3DEBUG
void test_hnf() {
test_larger_generated_hnf();
test_small_generated_hnf();
test_hnf_1_2();
test_hnf_3_3();
test_hnf_4_4();
test_hnf_5_5();
test_hnf_2_2();
for (unsigned k=1000; k>0; k--)
for (int i = 1; i < 8; i++)
test_hnf_for_dim(i);
cutting_the_mix_example_1();
// test_hnf_m_less_than_n();
// test_hnf_m_greater_than_n();
}
#endif
void test_gomory_cut() {
test_gomory_cut_0();
test_gomory_cut_1();
}
void test_nla_order_lemma() {
nla::test_order_lemma();
}
void test_lp_local(int argn, char**argv) {
// initialize_util_module();
// initialize_numerics_module();
int ret;
argument_parser args_parser(argn, argv);
setup_args_parser(args_parser);
if (!args_parser.parse()) {
std::cout << args_parser.m_error_message << std::endl;
std::cout << args_parser.usage_string();
ret = 1;
return finalize(ret);
}
args_parser.print();
if (args_parser.option_is_used("-monics")) {
nla::test_monics();
return finalize(0);
}
if (args_parser.option_is_used("-nla_cn")) {
#ifdef Z3DEBUG
nla::test_cn();
#endif
return finalize(0);
}
if (args_parser.option_is_used("-nla_sim")) {
#ifdef Z3DEBUG
nla::test_simplify();
#endif
return finalize(0);
}
if (args_parser.option_is_used("-nex_order")) {
nla::test_nex_order();
return finalize(0);
}
if (args_parser.option_is_used("-nla_order")) {
#ifdef Z3DEBUG
test_nla_order_lemma();
#endif
return finalize(0);
}
if (args_parser.option_is_used("-nla_monot")) {
#ifdef Z3DEBUG
nla::test_monotone_lemma();
#endif
return finalize(0);
}
if (args_parser.option_is_used("-nla_bsl")) {
#ifdef Z3DEBUG
nla::test_basic_sign_lemma();
#endif
return finalize(0);
}
if (args_parser.option_is_used("-nla_horner")) {
#ifdef Z3DEBUG
nla::test_horner();
#endif
return finalize(0);
}
if (args_parser.option_is_used("-nla_tan")) {
#ifdef Z3DEBUG
nla::test_tangent_lemma();
#endif
return finalize(0);
}
if (args_parser.option_is_used("-nla_blfmz_mf")) {
#ifdef Z3DEBUG
nla::test_basic_lemma_for_mon_zero_from_monomial_to_factors();
#endif
return finalize(0);
}
if (args_parser.option_is_used("-nla_blfmz_fm")) {
#ifdef Z3DEBUG
nla::test_basic_lemma_for_mon_zero_from_factors_to_monomial();
#endif
return finalize(0);
}
if (args_parser.option_is_used("-nla_blnt_mf")) {
#ifdef Z3DEBUG
nla::test_basic_lemma_for_mon_neutral_from_monomial_to_factors();
#endif
return finalize(0);
}
if (args_parser.option_is_used("-nla_blnt_fm")) {
#ifdef Z3DEBUG
nla::test_basic_lemma_for_mon_neutral_from_factors_to_monomial();
#endif
return finalize(0);
}
if (args_parser.option_is_used("-hnf")) {
#ifdef Z3DEBUG
test_hnf();
#endif
return finalize(0);
}
if (args_parser.option_is_used("-gomory")) {
test_gomory_cut();
return finalize(0);
}
if (args_parser.option_is_used("--test_int_set")) {
test_int_set();
return finalize(0);
}
if (args_parser.option_is_used("--bp")) {
test_bound_propagation();
return finalize(0);
}
return finalize(0); // has_violations() ? 1 : 0);
}
}
void tst_lp(char ** argv, int argc, int& i) {
lp::test_lp_local(argc - 2, argv + 2);
}