/*++
  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 "math/lp/binary_heap_priority_queue.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 "math/lp/binary_heap_upair_queue.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/square_sparse_matrix_def.h"
#include "math/lp/lu_def.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"

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); 
    }
};


template <typename T, typename X>
void test_matrix(square_sparse_matrix<T, X> & a) {
    auto m = a.dimension();

    // copy a to b in the reversed order
    square_sparse_matrix<T, X> b(m, m);
    std::cout << "copy b to a"<< std::endl;
    for (int row = m - 1; row >= 0; row--)
        for (int col = m - 1; col >= 0; col --) {
            b(row, col) = (T const&) a(row, col);
        }


    std::cout << "zeroing b in the reverse order"<< std::endl;
    for (int row = m - 1; row >= 0; row--)
        for (int col = m - 1; col >= 0; col --)
            b.set(row, col, T(0));



    for (unsigned row = 0; row < m; row ++)
        for (unsigned col = 0; col < m; col ++)
            a.set(row, col, T(0));


    unsigned i = my_random() % m;
    unsigned j = my_random() % m;

    auto t = T(1);

    a.set(i, j, t);

    lp_assert(a.get(i, j) == t);

    unsigned j1;
    if (j < m - 1) {
        j1 = m - 1;
        a.set(i, j1, T(2));
    }
}

void tst1() {
    std::cout << "testing the minimal matrix with 1 row and 1 column" << std::endl;
    square_sparse_matrix<double, double> m0(1, 1);
    m0.set(0, 0, 1);
    // print_matrix(m0);
    m0.set(0, 0, 0);
    // print_matrix(m0);
    test_matrix(m0);

    unsigned rows = 2;
    square_sparse_matrix<double, double> m(rows, rows);
    std::cout << "setting m(0,1)=" << std::endl;

    m.set(0, 1,  11);
    m.set(0, 0,  12);

    // print_matrix<double>(m);

    test_matrix(m);

    square_sparse_matrix<double, double> m1(2, 2);
    m1.set(0, 0, 2);
    m1.set(1, 0, 3);
    // print_matrix(m1);
    std::cout << " zeroing matrix 2 by 2" << std::endl;
    m1.set(0, 0, 0);
    m1.set(1, 0, 0);
    // print_matrix(m1);

    test_matrix(m1);


    std::cout << "printing zero matrix 3 by 1" << std::endl;
    square_sparse_matrix<double, double> m2(3, 3);
    // print_matrix(m2);

    m2.set(0, 0, 1);
    m2.set(2, 0, 2);
    std::cout << "printing  matrix 3 by 1 with a gap" << std::endl;
    // print_matrix(m2);

    test_matrix(m2);

    square_sparse_matrix<double, double> m10by9(10, 10);
    m10by9.set(0, 1, 1);

    m10by9(0, 1) = 4;

    double test = m10by9(0, 1);

    std::cout << "got " << test << std::endl;


    m10by9.set(0, 8, 8);
    m10by9.set(3, 4, 7);
    m10by9.set(3, 2, 5);
    m10by9.set(3, 8, 99);
    m10by9.set(3, 2, 6);
    m10by9.set(1, 8, 9);
    m10by9.set(4, 0, 40);
    m10by9.set(0, 0, 10);

    std::cout << "printing  matrix 10 by 9" << std::endl;
    // print_matrix(m10by9);


    test_matrix(m10by9);
    std::cout <<"zeroing m10by9\n";
#ifdef Z3DEBUG
    for (unsigned int i = 0; i < m10by9.dimension(); i++)
        for (unsigned int j = 0; j < m10by9.column_count(); j++)
            m10by9.set(i, j, 0);
#endif
    // print_matrix(m10by9);
}

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;
}



#ifdef Z3DEBUG
void test_small_lu(lp_settings & settings) {
    
}

#endif

void fill_long_row(square_sparse_matrix<double, double> &m, int i) {
    int n = m.dimension();
    for (int j = 0; j < n; j ++) {
        m (i, (j + i) % n) = j * j;
    }
}

void fill_long_row(static_matrix<double, double> &m, int i) {
    int n = m.column_count();
    for (int j = 0; j < n; j ++) {
        m (i, (j + i) % n) = j * j;
    }
}


void fill_long_row_exp(square_sparse_matrix<double, double> &m, int i) {
    int n = m.dimension();

    for (int j = 0; j < n; j ++) {
        m(i, j) = my_random() % 20;
    }
}

void fill_long_row_exp(static_matrix<double, double> &m, int i) {
    int n = m.column_count();

    for (int j = 0; j < n; j ++) {
        m(i, j) = my_random() % 20;
    }
}

void fill_larger_square_sparse_matrix_exp(square_sparse_matrix<double, double> & m){
    for ( unsigned i = 0; i < m.dimension(); i++ )
        fill_long_row_exp(m, i);
}

void fill_larger_square_sparse_matrix_exp(static_matrix<double, double> & m){
    for ( unsigned i = 0; i < m.row_count(); i++ )
        fill_long_row_exp(m, i);
}


void fill_larger_square_sparse_matrix(square_sparse_matrix<double, double> & m){
    for ( unsigned i = 0; i < m.dimension(); i++ )
        fill_long_row(m, i);
}

void fill_larger_square_sparse_matrix(static_matrix<double, double> & m){
    for ( unsigned i = 0; i < m.row_count(); i++ )
        fill_long_row(m, i);
}


int perm_id = 0;







void init_b(vector<double> & b, square_sparse_matrix<double, double> & m, vector<double>& x) {
    for (unsigned i = 0; i < m.dimension(); i++) {
        b.push_back(m.dot_product_with_row(i, x));
    }
}

void init_b(vector<double> & b, static_matrix<double, double> & m, vector<double> & x) {
    for (unsigned i = 0; i < m.row_count(); i++) {
        b.push_back(m.dot_product_with_row(i, x));
    }
}


void test_lp_0() {
    std::cout << " test_lp_0 " << std::endl;
    static_matrix<double, double> m_(3, 7);
    m_(0, 0) = 3; m_(0, 1) = 2; m_(0, 2) = 1; m_(0, 3) = 2; m_(0, 4) = 1;
    m_(1, 0) = 1; m_(1, 1) = 1; m_(1, 2) = 1; m_(1, 3) = 1; m_(1, 5) = 1;
    m_(2, 0) = 4; m_(2, 1) = 3; m_(2, 2) = 3; m_(2, 3) = 4; m_(2, 6) = 1;
    vector<double> x_star(7);
    x_star[0] = 225; x_star[1] = 117; x_star[2] = 420;
    x_star[3] = x_star[4] = x_star[5] = x_star[6] = 0;
    vector<double> b;
    init_b(b, m_, x_star);
    vector<unsigned> basis(3);
    basis[0] = 0; basis[1] = 1; basis[2] = 2;
    vector<double> costs(7);
    costs[0] = 19;
    costs[1] = 13;
    costs[2] = 12;
    costs[3] = 17;
    costs[4] = 0;
    costs[5] = 0;
    costs[6] = 0;
    
    vector<column_type> column_types(7, column_type::lower_bound);
    vector<double>  upper_bound_values;
    lp_settings settings;
    simple_column_namer cn;
    vector<unsigned> nbasis;
    vector<int>  heading;

    lp_primal_core_solver<double, double> lpsolver(m_, b, x_star, basis, nbasis, heading, costs, column_types, upper_bound_values, settings, cn);

    lpsolver.solve();
}

void test_lp_1() {
    std::cout << " test_lp_1 " << std::endl;
    static_matrix<double, double> m(4, 7);
    m(0, 0) =  1;  m(0, 1) = 3;  m(0, 2) = 1;  m(0, 3) = 1;
    m(1, 0) = -1;                m(1, 2) = 3;  m(1, 4) = 1;
    m(2, 0) =  2;  m(2, 1) = -1; m(2, 2) = 2;  m(2, 5) = 1;
    m(3, 0) =  2;  m(3, 1) =  3; m(3, 2) = -1; m(3, 6) = 1;
#ifdef Z3DEBUG
    print_matrix(m, std::cout);
#endif
    vector<double> x_star(7);
    x_star[0] = 0; x_star[1] = 0; x_star[2] = 0;
    x_star[3] = 3; x_star[4] = 2; x_star[5] = 4; x_star[6] = 2;

    vector<unsigned> basis(4);
    basis[0] = 3; basis[1] = 4; basis[2] = 5; basis[3] = 6;

    vector<double> b;
    b.push_back(3);
    b.push_back(2);
    b.push_back(4);
    b.push_back(2);

    vector<double> costs(7);
    costs[0] = 5;
    costs[1] = 5;
    costs[2] = 3;
    costs[3] = 0;
    costs[4] = 0;
    costs[5] = 0;
    costs[6] = 0;



    vector<column_type> column_types(7, column_type::lower_bound);
    vector<double>  upper_bound_values;

    std::cout << "calling lp\n";
    lp_settings settings;
    simple_column_namer cn;

    vector<unsigned> nbasis;
    vector<int>  heading;

    lp_primal_core_solver<double, double> lpsolver(m, b,
                                                   x_star,
                                                   basis,
                                                   nbasis, heading,
                                                   costs,
                                                   column_types, upper_bound_values, settings, cn);
    
    lpsolver.solve();
}


void test_lp_primal_core_solver() {
    test_lp_0();
    test_lp_1();
}


#ifdef Z3DEBUG
template <typename T, typename X>
void test_swap_rows_with_permutation(square_sparse_matrix<T, X>& m){
    std::cout << "testing swaps" << std::endl;
    unsigned dim = m.row_count();
    dense_matrix<double, double> original(&m);
    permutation_matrix<double, double> q(dim);
    print_matrix(m, std::cout);
    lp_assert(original == q * m);
    for (int i = 0; i < 100; i++) {
        unsigned row1 = my_random() % dim;
        unsigned row2 = my_random() % dim;
        if (row1 == row2) continue;
        std::cout << "swap " << row1 << " " << row2 << std::endl;
        m.swap_rows(row1, row2);
        q.transpose_from_left(row1, row2);
        lp_assert(original == q * m);
        print_matrix(m, std::cout);
        std::cout << std::endl;
    }
}
#endif
template <typename T, typename X>
void fill_matrix(square_sparse_matrix<T, X>& m); // forward definition
#ifdef Z3DEBUG
template <typename T, typename X>
void test_swap_cols_with_permutation(square_sparse_matrix<T, X>& m){
    std::cout << "testing swaps" << std::endl;
    unsigned dim = m.row_count();
    dense_matrix<double, double> original(&m);
    permutation_matrix<double, double> q(dim);
    print_matrix(m, std::cout);
    lp_assert(original == q * m);
    for (int i = 0; i < 100; i++) {
        unsigned row1 = my_random() % dim;
        unsigned row2 = my_random() % dim;
        if (row1 == row2) continue;
        std::cout << "swap " << row1 << " " << row2 << std::endl;
        m.swap_rows(row1, row2);
        q.transpose_from_right(row1, row2);
        lp_assert(original == q * m);
        print_matrix(m, std::cout);
        std::cout << std::endl;
    }
}


template <typename T, typename X>
void test_swap_rows(square_sparse_matrix<T, X>& m, unsigned i0, unsigned i1){
    std::cout << "test_swap_rows(" << i0 << "," << i1 << ")" << std::endl;
    square_sparse_matrix<T, X> mcopy(m.dimension(), 0);
    for (unsigned i = 0; i  < m.dimension(); i++)
        for (unsigned j = 0; j < m.dimension(); j++) {
            mcopy(i, j)= m(i, j);
        }
    std::cout << "swapping rows "<< i0 << "," << i1 << std::endl;
    m.swap_rows(i0, i1);

    for (unsigned j = 0; j < m.dimension(); j++) {
        lp_assert(mcopy(i0, j) == m(i1, j));
        lp_assert(mcopy(i1, j) == m(i0, j));
    }
}
template <typename T, typename X>
void test_swap_columns(square_sparse_matrix<T, X>& m, unsigned i0, unsigned i1){
    std::cout << "test_swap_columns(" << i0 << "," << i1 << ")" << std::endl;
    square_sparse_matrix<T, X> mcopy(m.dimension(), 0); // the second argument does not matter
    for (unsigned i = 0; i  < m.dimension(); i++)
        for (unsigned j = 0; j < m.dimension(); j++) {
            mcopy(i, j)= m(i, j);
        }
    m.swap_columns(i0, i1);

    for (unsigned j = 0; j < m.dimension(); j++) {
        lp_assert(mcopy(j, i0) == m(j, i1));
        lp_assert(mcopy(j, i1) == m(j, i0));
    }

    for (unsigned i = 0; i  < m.dimension(); i++) {
        if (i == i0 || i == i1)
            continue;
        for (unsigned j = 0; j < m.dimension(); j++) {
            lp_assert(mcopy(j, i)== m(j, i));
        }
    }
}
#endif

template <typename T, typename X>
void fill_matrix(square_sparse_matrix<T, X>& m){
    int v = 0;
    for (int i = m.dimension() - 1; i >= 0; i--) {
        for (int j = m.dimension() - 1; j >=0; j--){
            m(i, j) = v++;
        }
    }
}

void test_pivot_like_swaps_and_pivot(){
    square_sparse_matrix<double, double> m(10, 10);
    fill_matrix(m);
    // print_matrix(m);
    // pivot at 2,7
    m.swap_columns(0, 7);
    // print_matrix(m);
    m.swap_rows(2, 0);
    // print_matrix(m);
    for (unsigned i = 1; i < m.dimension(); i++) {
        m(i, 0) = 0;
    }
    // print_matrix(m);

    // say pivot at 3,4
    m.swap_columns(1, 4);
    // print_matrix(m);
    m.swap_rows(1, 3);
    // print_matrix(m);

    vector<double> row;
    double alpha = 2.33;
    unsigned pivot_row = 1;
    unsigned target_row = 2;
    unsigned pivot_row_0 = 3;
    double beta = 3.1;
    m(target_row, 3) = 0;
    m(target_row, 5) = 0;
    m(pivot_row, 6) = 0;
#ifdef Z3DEBUG
    print_matrix(m, std::cout);
#endif

    for (unsigned j = 0; j < m.dimension(); j++) {
        row.push_back(m(target_row, j) + alpha * m(pivot_row, j) + beta * m(pivot_row_0, j));
    }

    for (auto & t : row) {
        std::cout << t << ",";
    }
    std::cout << std::endl;
    lp_settings settings;
    m.pivot_row_to_row(pivot_row, alpha, target_row, settings);
    m.pivot_row_to_row(pivot_row_0, beta, target_row, settings);
    //  print_matrix(m);
    for (unsigned j = 0; j < m.dimension(); j++) {
        lp_assert(abs(row[j] - m(target_row, j)) < 0.00000001);
    }
}

#ifdef Z3DEBUG
void test_swap_rows() {
    square_sparse_matrix<double, double> m(10, 10);
    fill_matrix(m);
    // print_matrix(m);
    test_swap_rows(m, 3, 5);

    test_swap_rows(m, 1, 3);


    test_swap_rows(m, 1, 3);

    test_swap_rows(m, 1, 7);

    test_swap_rows(m, 3, 7);

    test_swap_rows(m, 0, 7);

    m(0, 4) = 1;
    // print_matrix(m);
    test_swap_rows(m, 0, 7);

    // go over some corner cases
    square_sparse_matrix<double, double> m0(2, 2);
    test_swap_rows(m0, 0, 1);
    m0(0, 0) = 3;
    test_swap_rows(m0, 0, 1);
    m0(1, 0) = 3;
    test_swap_rows(m0, 0, 1);


    square_sparse_matrix<double, double> m1(10, 10);
    test_swap_rows(m1, 0, 1);
    m1(0, 0) = 3;
    test_swap_rows(m1, 0, 1);
    m1(1, 0) = 3;
    m1(0, 3) = 5;
    m1(1, 3) = 4;
    m1(1, 8) = 8;
    m1(1, 9) = 8;

    test_swap_rows(m1, 0, 1);

    square_sparse_matrix<double, double> m2(3, 3);
    test_swap_rows(m2, 0, 1);
    m2(0, 0) = 3;
    test_swap_rows(m2, 0, 1);
    m2(2, 0) = 3;
    test_swap_rows(m2, 0, 2);
}

void fill_uniformly(square_sparse_matrix<double, double> & m, unsigned dim) {
    int v = 0;
    for (unsigned i = 0; i < dim; i++) {
        for (unsigned j = 0; j < dim; j++) {
            m(i, j) = v++;
        }
    }
}

void fill_uniformly(dense_matrix<double, double> & m, unsigned dim) {
    int v = 0;
    for (unsigned i = 0; i < dim; i++) {
        for (unsigned j = 0; j < dim; j++) {
            m.set_elem(i, j, v++);
        }
    }
}

void square_sparse_matrix_with_permutations_test() {
    unsigned dim = 4;
    square_sparse_matrix<double, double> m(dim, dim);
    fill_uniformly(m, dim);
    dense_matrix<double, double> dm(dim, dim);
    fill_uniformly(dm, dim);
    dense_matrix<double, double> dm0(dim, dim);
    fill_uniformly(dm0, dim);
    permutation_matrix<double, double> q0(dim);
    q0[0] = 1;
    q0[1] = 0;
    q0[2] = 3;
    q0[3] = 2;
    permutation_matrix<double, double> q1(dim);
    q1[0] = 1;
    q1[1] = 2;
    q1[2] = 3;
    q1[3] = 0;
    permutation_matrix<double, double> p0(dim);
    p0[0] = 1;
    p0[1] = 0;
    p0[2] = 3;
    p0[3] = 2;
    permutation_matrix<double, double> p1(dim);
    p1[0] = 1;
    p1[1] = 2;
    p1[2] = 3;
    p1[3] = 0;

    m.multiply_from_left(q0);
    for (unsigned i = 0; i < dim; i++) {
        for (unsigned j = 0; j < dim; j++) {
            lp_assert(m(i, j) == dm0.get_elem(q0[i], j));
        }
    }

    auto q0_dm = q0 * dm;
    lp_assert(m == q0_dm);

    m.multiply_from_left(q1);
    for (unsigned i = 0; i < dim; i++) {
        for (unsigned j = 0; j < dim; j++) {
            lp_assert(m(i, j) == dm0.get_elem(q0[q1[i]], j));
        }
    }


    auto q1_q0_dm = q1 * q0_dm;

    lp_assert(m == q1_q0_dm);

    m.multiply_from_right(p0);

    for (unsigned i = 0; i < dim; i++) {
        for (unsigned j = 0; j < dim; j++) {
            lp_assert(m(i, j) == dm0.get_elem(q0[q1[i]], p0[j]));
        }
    }

    auto q1_q0_dm_p0 = q1_q0_dm * p0;

    lp_assert(m == q1_q0_dm_p0);

    m.multiply_from_right(p1);

    for (unsigned i = 0; i < dim; i++) {
        for (unsigned j = 0; j < dim; j++) {
            lp_assert(m(i, j) == dm0.get_elem(q0[q1[i]], p1[p0[j]]));
        }
    }

    auto q1_q0_dm_p0_p1 = q1_q0_dm_p0 * p1;
    lp_assert(m == q1_q0_dm_p0_p1);

    m.multiply_from_right(p1);
    for (unsigned i = 0; i < dim; i++) {
        for (unsigned j = 0; j < dim; j++) {
            lp_assert(m(i, j) == dm0.get_elem(q0[q1[i]], p1[p1[p0[j]]]));
        }
    }
    auto q1_q0_dm_p0_p1_p1 = q1_q0_dm_p0_p1 * p1;

    lp_assert(m == q1_q0_dm_p0_p1_p1);
}

void test_swap_columns() {
    square_sparse_matrix<double, double> m(10, 10);
    fill_matrix(m);
    // print_matrix(m);

    test_swap_columns(m, 3, 5);

    test_swap_columns(m, 1, 3);

    test_swap_columns(m, 1, 3);

    // print_matrix(m);
    test_swap_columns(m, 1, 7);

    test_swap_columns(m, 3, 7);

    test_swap_columns(m, 0, 7);

    test_swap_columns(m, 0, 7);

    // go over some corner cases
    square_sparse_matrix<double, double> m0(2, 2);
    test_swap_columns(m0, 0, 1);
    m0(0, 0) = 3;
    test_swap_columns(m0, 0, 1);
    m0(0, 1) = 3;
    test_swap_columns(m0, 0, 1);


    square_sparse_matrix<double, double> m1(10, 10);
    test_swap_columns(m1, 0, 1);
    m1(0, 0) = 3;
    test_swap_columns(m1, 0, 1);
    m1(0, 1) = 3;
    m1(3, 0) = 5;
    m1(3, 1) = 4;
    m1(8, 1) = 8;
    m1(9, 1) = 8;

    test_swap_columns(m1, 0, 1);

    square_sparse_matrix<double, double> m2(3, 3);
    test_swap_columns(m2, 0, 1);
    m2(0, 0) = 3;
    test_swap_columns(m2, 0, 1);
    m2(0, 2) = 3;
    test_swap_columns(m2, 0, 2);
}



void test_swap_operations() {
    test_swap_rows();
    test_swap_columns();
}

void test_dense_matrix() {
    dense_matrix<double, double> d(3, 2);
    d.set_elem(0, 0, 1);
    d.set_elem(1, 1, 2);
    d.set_elem(2, 0, 3);
    // print_matrix(d);

    dense_matrix<double, double> unit(2, 2);
    d.set_elem(0, 0, 1);
    d.set_elem(1, 1, 1);

    dense_matrix<double, double> c = d * unit;

    // print_matrix(d);

    dense_matrix<double, double> perm(3, 3);
    perm.set_elem(0, 1, 1);
    perm.set_elem(1, 0, 1);
    perm.set_elem(2, 2, 1);
    auto c1 = perm * d;
    // print_matrix(c1);


    dense_matrix<double, double> p2(2, 2);
    p2.set_elem(0, 1, 1);
    p2.set_elem(1, 0, 1);
    auto c2 = d * p2;
}
#endif



vector<permutation_matrix<double, double>> vector_of_permutations() {
    vector<permutation_matrix<double, double>> ret;
    {
        permutation_matrix<double, double> p0(5);
        p0[0] = 1; p0[1] = 2; p0[2] = 3; p0[3] = 4;
        p0[4] = 0;
        ret.push_back(p0);
    }
    {
        permutation_matrix<double, double> p0(5);
        p0[0] = 2; p0[1] = 0; p0[2] = 1; p0[3] = 4;
        p0[4] = 3;
        ret.push_back(p0);
    }
    return ret;
}

void test_apply_reverse_from_right_to_perm(permutation_matrix<double, double> & l) {
    permutation_matrix<double, double> p(5);
    p[0] = 4; p[1] = 2; p[2] = 0; p[3] = 3;
    p[4] = 1;

    permutation_matrix<double, double> pclone(5);
    pclone[0] = 4; pclone[1] = 2; pclone[2] = 0; pclone[3] = 3;
    pclone[4] = 1;

    p.multiply_by_reverse_from_right(l);
#ifdef Z3DEBUG
    auto rev = l.get_inverse();
    auto rs = pclone * rev;
    lp_assert(p == rs)
#endif
        }

void test_apply_reverse_from_right() {
    auto vec = vector_of_permutations();
    for (unsigned i = 0; i < vec.size(); i++) {
        test_apply_reverse_from_right_to_perm(vec[i]);
    }
}

void test_permutations() {
    std::cout << "test permutations" << std::endl;
    test_apply_reverse_from_right();
    vector<double> v; v.resize(5, 0);
    v[1] = 1;
    v[3] = 3;
    permutation_matrix<double, double> p(5);
    p[0] = 4; p[1] = 2; p[2] = 0; p[3] = 3;
    p[4] = 1;

    indexed_vector<double> vi(5);
    vi.set_value(1, 1);
    vi.set_value(3, 3);

    p.apply_reverse_from_right_to_T(v);
    p.apply_reverse_from_right_to_T(vi);
    lp_assert(vectors_are_equal(v, vi.m_data));
    lp_assert(vi.is_OK());
}

void lp_solver_test() {
    // lp_revised_solver<double> lp_revised;
    // lp_revised.get_minimal_solution();
}

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;
}



bool values_are_one_percent_close(double a, double b);




void get_time_limit_and_max_iters_from_parser(argument_parser & args_parser, unsigned & time_limit); // forward definition



void test_upair_queue() {
    int n = 10;
    binary_heap_upair_queue<int> q(2);
    std::unordered_map<upair, int> m;
    for (int k = 0; k < 100; k++) {
        int i = my_random()%n;
        int j = my_random()%n;
        q.enqueue(i, j, my_random()%n);
    }

    q.remove(5, 5);

    while (!q.is_empty()) {
        unsigned i, j;
        q.dequeue(i, j);
    }
}

void test_binary_priority_queue() {
    std::cout << "testing binary_heap_priority_queue...";
    auto q = binary_heap_priority_queue<int>(10);
    q.enqueue(2, 2);
    q.enqueue(1, 1);
    q.enqueue(9, 9);
    q.enqueue(8, 8);
    q.enqueue(5, 25);
    q.enqueue(3, 3);
    q.enqueue(4, 4);
    q.enqueue(7, 30);
    q.enqueue(6, 6);
    q.enqueue(0, 0);
    q.enqueue(5, 5);
    q.enqueue(7, 7);

    for (unsigned i = 0; i < 10; i++) {
        unsigned de = q.dequeue();
        lp_assert(i == de);
        std::cout << de << std::endl;
    }
    q.enqueue(2, 2);
    q.enqueue(1, 1);
    q.enqueue(9, 9);
    q.enqueue(8, 8);
    q.enqueue(5, 5);
    q.enqueue(3, 3);
    q.enqueue(4, 4);
    q.enqueue(7, 2);
    q.enqueue(0, 1);
    q.enqueue(6, 6);
    q.enqueue(7, 7);
    q.enqueue(33, 1000);
    q.enqueue(20, 0);
    q.dequeue();
    q.remove(33);
    q.enqueue(0, 0);
#ifdef Z3DEBUG
    unsigned t = 0;
    while (q.size() > 0) {
        unsigned d =q.dequeue();
        lp_assert(t++ == d);
        std::cout << d << std::endl;
    }
#endif
    test_upair_queue();
    std::cout << " done" << std::endl;
}


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 test_init_U() {
    static_matrix<double, double> m(3, 7);
    m(0, 0) = 10; m(0, 1) = 11; m(0, 2) = 12; m(0, 3) = 13; m(0, 4) = 14;
    m(1, 0) = 20; m(1, 1) = 21; m(1, 2) = 22; m(1, 3) = 23; m(1, 5) = 24;
    m(2, 0) = 30; m(2, 1) = 31; m(2, 2) = 32; m(2, 3) = 33; m(2, 6) = 34;
#ifdef Z3DEBUG
    print_matrix(m, std::cout);
#endif
    vector<unsigned> basis(3);
    basis[0] = 1;
    basis[1] = 2;
    basis[2] = 4;

    square_sparse_matrix<double, double> u(m, basis);

    for (unsigned i = 0; i < 3; i++) {
        for (unsigned j = 0; j < 3; j ++) {
            lp_assert(m(i, basis[j]) == u(i, j));
        }
    }

    // print_matrix(m);
    // print_matrix(u);
}

void test_replace_column() {
    square_sparse_matrix<double, double> m(10, 10);
    fill_matrix(m);
    m.swap_columns(0, 7);
    m.swap_columns(6, 3);
    m.swap_rows(2, 0);
    for (unsigned i = 1; i < m.dimension(); i++) {
        m(i, 0) = 0;
    }

    indexed_vector<double> w(m.dimension());
    for (unsigned i = 0; i < m.dimension(); i++) {
        w.set_value(i % 3, i);
    }

    lp_settings settings;

    for (unsigned column_to_replace = 0;  column_to_replace < m.dimension(); column_to_replace ++) {
        m.replace_column(column_to_replace, w, settings);
        for (unsigned i = 0; i < m.dimension(); i++) {
            lp_assert(abs(w[i] - m(i, column_to_replace)) < 0.00000001);
        }
    }
}



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("--density", "the percentage of non-zeroes in the matrix below which it is not dense");
    parser.add_option_with_after_string_with_help("--harris_toler", "harris tolerance");
    parser.add_option_with_help_string("--test_swaps", "test row swaps with a permutation");
    parser.add_option_with_help_string("--test_perm", "test permutations");
    parser.add_option_with_after_string_with_help("--checklu", "the file name for lu checking");
    parser.add_option_with_after_string_with_help("--partial_pivot", "the partial pivot constant, a number somewhere between 10 and 100");
    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("-tbq", "test binary queue");
    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 read_row_cols(unsigned i, static_matrix<double, double>& A, std::ifstream & f) {
    do {
        std::string line;
        getline(f, line);
        if (line== "row_end")
            break;
        auto r = split_and_trim(line);
        lp_assert(r.size() == 4);
        unsigned j = atoi(r[1].c_str());
        double v = atof(r[3].c_str());
        A.set(i, j, v);
    } while (true);
}

bool read_row(static_matrix<double, double> & A, std::ifstream & f) {
    std::string line;
    getline(f, line);
    if (static_cast<int>(line.find("row")) == -1)
        return false;
    auto r = split_and_trim(line);
    if (r[0] != "row")
        std::cout << "wrong row line" << line << std::endl;
    unsigned i = atoi(r[1].c_str());
    read_row_cols(i, A, f);
    return true;
}

void read_rows(static_matrix<double, double>& A, std::ifstream & f) {
    while (read_row(A, f)) {}
}

void read_basis(vector<unsigned> & basis, std::ifstream & f) {
    std::cout << "reading basis" << std::endl;
    std::string line;
    getline(f, line);
    lp_assert(line == "basis_start");
    do {
        getline(f, line);
        if (line == "basis_end")
            break;
        unsigned j = atoi(line.c_str());
        basis.push_back(j);
    } while (true);
}

void read_indexed_vector(indexed_vector<double> & v, std::ifstream & f) {
    std::string line;
    getline(f, line);
    lp_assert(line == "vector_start");
    do {
        getline(f, line);
        if (line == "vector_end") break;
        auto r = split_and_trim(line);
        unsigned i = atoi(r[0].c_str());
        double val = atof(r[1].c_str());
        v.set_value(val, i);
        std::cout << "setting value " << i << " = " << val << std::endl;
    } while (true);
}

void check_lu_from_file(std::string lufile_name) {
    lp_assert(false);
}

void test_square_dense_submatrix() {
    std::cout << "testing square_dense_submatrix" << std::endl;
    unsigned parent_dim = 7;
    square_sparse_matrix<double, double> parent(parent_dim, 0);
    fill_matrix(parent);
    unsigned index_start = 3;
    square_dense_submatrix<double, double> d;
    d.init(&parent, index_start);
    for (unsigned i = index_start; i < parent_dim; i++)
        for (unsigned j = index_start; j < parent_dim; j++)
            d[i][j] = i*3+j*2;
#ifdef Z3DEBUG
    unsigned dim = parent_dim - index_start;
    dense_matrix<double, double> m(dim, dim);
    for (unsigned i = index_start; i < parent_dim; i++)
        for (unsigned j = index_start; j < parent_dim; j++)
            m[i-index_start][j-index_start] = d[i][j];
    print_matrix(&m, std::cout);
#endif
    for (unsigned i = index_start; i < parent_dim; i++)
        for (unsigned j = index_start; j < parent_dim; j++)
            d[i][j] = d[j][i];
#ifdef Z3DEBUG
    for (unsigned i = index_start; i < parent_dim; i++)
        for (unsigned j = index_start; j < parent_dim; j++)
            m[i-index_start][j-index_start] = d[i][j];

    print_matrix(&m, std::cout);
    std::cout << std::endl;
#endif
}



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);
    }
        
    
    std::string lufile = args_parser.get_option_value("--checklu");
    if (!lufile.empty()) {
        check_lu_from_file(lufile);
        return finalize(0);
    }

    
    

    if (args_parser.option_is_used("-tbq")) {
        test_binary_priority_queue();
        ret = 0;
        return finalize(ret);
    }

    return finalize(0); // has_violations() ? 1 : 0);
}
}
void tst_lp(char ** argv, int argc, int& i) {
    lp::test_lp_local(argc - 2, argv + 2);
}
#ifdef Z3DEBUG
namespace lp {
template void print_matrix<general_matrix>(general_matrix&, std::ostream&);
}
#endif