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/** @file time_lw_O.cpp
*
* Test O1 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 const bool do_test = true; // set to true in order to run this beast
static unsigned test1(void)
{
symbol a1("a1"), a2("a2"), a3("a3"), a4("a4"), a5("a5"), a6("a6");
symbol b1("b1"), b2("b2"), b3("b3"), b4("b4"), b5("b5"), b6("b6");
symbol c1("c1"), c2("c2"), c3("c3"), c4("c4"), c5("c5"), c6("c6");
ex w1[15][15] = {
{a6, a5, a4, a3, a2, a1, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
{0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0 },
{0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0 },
{0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0, 0 },
{0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0 },
{0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1},
{0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0, 0 },
{0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0 },
{0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0 },
{0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0 },
{0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1},
{0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1},
{0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0 },
{0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0 },
{0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0 }
};
ex w2[15][15] = {
{b6, b5, b4, b3, b2, b1, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
{0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0 },
{0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0 },
{0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0, 0 },
{0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0 },
{0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1},
{0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0, 0 },
{0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0 },
{0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0 },
{0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0 },
{0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1},
{0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1},
{0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0 },
{0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0 },
{0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0 }
};
ex w3[15][15] = {
{c6, c5, c4, c3, c2, c1, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
{0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0 },
{0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0 },
{0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0, 0 },
{0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0 },
{0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1},
{0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0, 0 },
{0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0 },
{0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0 },
{0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0 },
{0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1},
{0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1},
{0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0 },
{0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0 },
{0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0 }
};
matrix d1(15,15), d2(15,15), d3(15,15);
for (unsigned r=0; r<15; ++r) {
for (unsigned c=0; c<15; ++c) {
d1.set(r,c,w1[r][c]);
d2.set(r,c,w2[r][c]);
d3.set(r,c,w3[r][c]);
}
}
unsigned nops1 = nops(d1.determinant()); cout << '.' << flush;
unsigned nops2 = nops(d2.determinant()); cout << '.' << flush;
unsigned nops3 = nops(d3.determinant()); cout << '.' << flush;
if ((nops1 != 37490) || (nops2 != 37490) || (nops3 != 37490)) {
clog << "Determinants were miscalculated" << endl;
return 1;
}
return 0;
}
unsigned time_lw_O(void)
{
unsigned result = 0;
unsigned count = 0;
timer rolex;
double time = .0;
cout << "timing Lewis-Wester test O1 (three 15x15 dets)" << flush;
clog << "-------Lewis-Wester test O1 (three 15x15 dets):" << endl;
if (do_test) {
rolex.start();
// correct for very small times:
do {
result = test1();
++count;
} while ((time=rolex.read())<0.1 && !result);
if (!result) {
cout << " passed ";
clog << "(no output)" << endl;
} else {
cout << " failed ";
}
cout << int(1000*(time/(3*count)))*0.001 << "s (average)" << endl;
} else {
cout << " disabled" << endl;
clog << "(no output)" << endl;
}
return result;
}
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