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/** @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) 1999-2002 Johannes Gutenberg University Mainz, Germany
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* 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., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*/
#include "times.h"
static unsigned test(void)
{
// Determinant of a sparse matrix that comes up in graph theory:
symbol x1("x1"), x2("x2"), x3("x3"), x4("x4"), x5("x5");
static 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(void)
{
unsigned result = 0;
unsigned count = 0;
timer rolex;
double time = .0;
cout << "timing Lewis-Wester test M1 (26x26 sparse, det)" << flush;
clog << "-------Lewis-Wester test M1 (26x26 sparse, det):" << endl;
rolex.start();
// correct for very small times:
do {
result = test();
++count;
} while ((time=rolex.read())<0.1 && !result);
cout << '.' << flush;
if (!result) {
cout << " passed ";
clog << "(no output)" << endl;
} else {
cout << " failed ";
}
cout << int(1000*(time/count))*0.001 << 's' << endl;
return result;
}
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