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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) 1999-2010 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., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
#include "ginac.h"
#include "timer.h"
using namespace GiNaC;
#include <iostream>
#include <vector>
using namespace std;
static const bool do_test2 = false; // set to true in order to run this beast
static const symbol a1("a1"), a2("a2"), a3("a3"), a4("a4"), a5("a5"), a6("a6");
static const symbol b1("b1"), b2("b2"), b3("b3"), b4("b4"), b5("b5"), b6("b6");
static const symbol c1("c1"), c2("c2"), c3("c3"), c4("c4"), c5("c5"), c6("c6");
static const ex det1()
{
matrix d1(15,15);
d1 = 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;
return d1.determinant();
}
static const ex det2()
{
matrix d2(15,15);
d2 = 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;
return d2.determinant();
}
static const ex det3()
{
matrix d3(15,15);
d3 = 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;
return d3.determinant();
}
// The results of test_O1 will be needed for test_O2:
static ex d1, d2, d3;
static unsigned test_O1()
{
d1 = det1(); cout << '.' << flush;
d2 = det2(); cout << '.' << flush;
d3 = det3(); cout << '.' << flush;
unsigned nops1 = nops(d1);
unsigned nops2 = nops(d2);
unsigned nops3 = nops(d3);
if ((nops1 != 37490) || (nops2 != 37490) || (nops3 != 37490)) {
clog << "Determinants were miscalculated" << endl;
return 1;
}
return 0;
}
static unsigned test_O2()
{
const ex gcd1 = gcd( d1, d2 ); cout << '.' << flush;
const ex resultant = gcd( gcd1, d3 ); cout << '.' << flush;
if (nops(resultant) != 21894) {
clog << "Resultant was miscalculated" << endl;
return 1;
}
return 0;
}
unsigned time_lw_O()
{
unsigned result = 0;
unsigned count = 0;
timer rolex;
double time = .0;
cout << "timing Lewis-Wester test O1 (three 15x15 dets)" << flush;
rolex.start();
// correct for very small times:
do {
result = test_O1();
++count;
} while ((time=rolex.read())<0.1 && !result);
if (result)
return result;
cout << time/(3*count) << "s (average)" << endl;
cout << "timing Lewis-Wester test O2 (Resultant)" << flush;
if (do_test2) {
rolex.reset();
result += test_O2();
cout << rolex.read() << "s (combined)" << endl;
} else {
cout << " disabled" << endl;
}
return result;
}
extern void randomify_symbol_serials();
int main(int argc, char** argv)
{
randomify_symbol_serials();
cout << setprecision(2) << showpoint;
return time_lw_O();
}
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