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Member "ginac-1.6.2/check/time_lw_M1.cpp" of archive ginac-1.6.2.tar.gz:

```/** @file time_lw_M1.cpp
*
*  Test M1 from the paper "Comparison of Polynomial-Oriented CAS" by Robert H.
*  Lewis and Michael Wester. */

/*
*  GiNaC Copyright (C) 1999-2011 Johannes Gutenberg University Mainz, Germany
*
*  This program is free software; you can redistribute it and/or modify
*  the Free Software Foundation; either version 2 of the License, or
*  (at your option) any later version.
*
*  This program is distributed in the hope that it will be useful,
*  but WITHOUT ANY WARRANTY; without even the implied warranty of
*  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
*  GNU General Public License for more details.
*
*  You should have received a copy of the GNU General Public License
*  along with this program; if not, write to the Free Software
*  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
*/

#include "ginac.h"
#include "timer.h"
using namespace GiNaC;

#include <iostream>
using namespace std;

static unsigned test()
{
// Determinant of a sparse matrix that comes up in graph theory:
symbol x1("x1"), x2("x2"), x3("x3"), x4("x4"), x5("x5");
ex w[26][11] = {
{ 1,  1,  1,  7, x4, 12, x3, 17, x2, 22, x1},
{ 2,  2,  1,  8, x4, 13, x3, 18, x2, 23, x1},
{ 3,  3,  1,  9, x4, 14, x3, 19, x2, 24, x1},
{ 4,  4,  1, 10, x4, 15, x3, 20, x2, 25, x1},
{ 5,  5,  1, 26,  1,  1,  0,  1,  0,  1, 0 },
{ 6,  2, x5,  6,  1, 12, x3, 17, x2, 22, x1},
{ 7,  3, x5,  7,  1, 13, x3, 18, x2, 23, x1},
{ 8,  4, x5,  8,  1, 14, x3, 19, x2, 24, x1},
{ 9,  5, x5,  9,  1, 15, x3, 20, x2, 25, x1},
{10, 10,  1, 26,  1,  1,  0,  1,  0,  1, 0 },
{11,  2, x5,  7, x4, 11,  1, 17, x2, 22, x1},
{12,  3, x5,  8, x4, 12,  1, 18, x2, 23, x1},
{13,  4, x5,  9, x4, 13,  1, 19, x2, 24, x1},
{14,  5, x5, 10, x4, 14,  1, 20, x2, 25, x1},
{15, 15,  1, 26,  1,  1,  0,  1,  0,  1, 0 },
{16,  2, x5,  7, x4, 12, x3, 16,  1, 22, x1},
{17,  3, x5,  8, x4, 13, x3, 17,  1, 23, x1},
{18,  4, x5,  9, x4, 14, x3, 18,  1, 24, x1},
{19,  5, x5, 10, x4, 15, x3, 19,  1, 25, x1},
{20, 20,  1, 26,  1,  1,  0,  1,  0,  1, 0 },
{21,  2, x5,  7, x4, 12, x3, 17, x2, 21, 1 },
{22,  3, x5,  8, x4, 13, x3, 18, x2, 22, 1 },
{23,  4, x5,  9, x4, 14, x3, 19, x2, 23, 1 },
{24,  5, x5, 10, x4, 15, x3, 20, x2, 24, 1 },
{25, 25,  1, 26,  1,  1,  0,  1,  0,  1, 0 },
{26,  1, x5,  6, x4, 11, x3, 16, x2, 21, x1}
};
matrix m(26,26);
for (unsigned r=0; r<26; ++r) {
for (unsigned c=0; c<5; ++c) {
m.set(r,
unsigned(ex_to<numeric>(w[r][2*c+1]).to_int()-1),
w[r][2*c+2]);
}
}
ex det = m.determinant();
// The result should have been:
ex cmp("-12*x2^2*x5^2*x4-12*x1*x5^2*x3^2-x5^3*x4^2-12*x1*x5^2*x4^2-12*x2*x5^2*x4^2-12*x3*x5^2*x4^2-x4^3*x5^2-36*x3*x1*x5^2*x4-36*x3*x1*x4^2*x5-36*x3*x2*x5^2*x4-36*x3*x2*x4^2*x5-2*x5^3*x4*x2-12*x3^2*x5^2*x4-12*x3^2*x4^2*x5-2*x5^3*x4*x3-2*x4^3*x5*x3-12*x1*x5^2*x2^2-36*x1*x5*x3^2*x4-36*x2*x5*x3^2*x4-x3^3*x5^2-x3^3*x4^2-2*x3^3*x5*x4-12*x2^2*x4^2*x5-12*x2*x5^2*x3^2-12*x2*x4^2*x3^2-12*x1*x4^2*x3^2-x3^2*x5^3-x3^2*x4^3-2*x4^3*x5*x2-2*x3*x5^3*x2-2*x3*x4^3*x2-2*x3^3*x5*x2-2*x3^3*x4*x2-2*x2^3*x5*x4-2*x2^3*x5*x3-2*x2^3*x4*x3-36*x2^2*x5*x4*x3-36*x2*x1*x5^2*x4-36*x2*x1*x4^2*x5-120*x2*x1*x5*x4*x3-36*x2*x1*x5^2*x3-36*x2*x1*x4^2*x3-36*x2*x1*x3^2*x5-36*x2*x1*x3^2*x4-12*x2^2*x5^2*x3-12*x2^2*x4^2*x3-12*x2^2*x3^2*x5-12*x2^2*x3^2*x4-2*x1^3*x4*x3-2*x1^3*x4*x2-2*x1^3*x3*x2-2*x1^3*x5*x2-36*x1^2*x5*x4*x3-36*x2*x1^2*x5*x4-36*x2*x3*x1^2*x5-36*x2*x3*x1^2*x4-x1^3*x5^2-x1^3*x4^2-x1^3*x3^2-x1^3*x2^2-x2^2*x5^3-x2^2*x4^3-x2^2*x3^3-12*x1*x4^2*x2^2-12*x1*x3^2*x2^2-12*x1^2*x5^2*x4-12*x1^2*x4^2*x5-12*x1^2*x5^2*x3-12*x1^2*x4^2*x3-12*x1^2*x3^2*x5-12*x1^2*x3^2*x4-12*x1^2*x5^2*x2-12*x1^2*x4^2*x2-12*x1^2*x3^2*x2-12*x1^2*x2^2*x5-12*x1^2*x2^2*x4-12*x1^2*x2^2*x3-2*x5^3*x4*x1-2*x4^3*x5*x1-2*x3*x5^3*x1-2*x3*x4^3*x1-2*x3^3*x5*x1-2*x3^3*x4*x1-2*x2*x5^3*x1-2*x2*x4^3*x1-2*x2*x3^3*x1-2*x2^3*x5*x1-2*x2^3*x4*x1-2*x2^3*x3*x1-2*x1^3*x5*x4-2*x1^3*x5*x3-36*x1*x5*x2^2*x4-36*x1*x5*x2^2*x3-36*x1*x4*x2^2*x3-x1^2*x5^3-x1^2*x4^3-x1^2*x3^3-x2^3*x5^2-x2^3*x4^2-x2^3*x3^2-x1^2*x2^3",lst(x1,x2,x3,x4,x5));
if (det!=cmp) {
clog << "The determinant was miscalculated" << endl;
return 1;
}
return 0;
}

unsigned time_lw_M1()
{
unsigned result = 0;
unsigned count = 0;
timer rolex;
double time = .0;

cout << "timing Lewis-Wester test M1 (26x26 sparse, det)" << flush;

rolex.start();
// correct for very small times:
do {
result = test();
++count;
cout << '.' << flush;
cout << time/count << 's' << endl;

return result;
}

extern void randomify_symbol_serials();

int main(int argc, char** argv)
{
randomify_symbol_serials();
cout << setprecision(2) << showpoint;
return time_lw_M1();
}
```