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/** @file time_lw_G.cpp
*
* Test G from the paper "Comparison of Polynomial-Oriented CAS" by Robert H.
* Lewis and Michael Wester. */
/*
* GiNaC Copyright (C) 1999-2026 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, see <https://www.gnu.org/licenses/>.
*/
#include "ginac.h"
#include "timer.h"
using namespace GiNaC;
#include <iostream>
#include <vector>
using namespace std;
static unsigned test()
{
symbol x("x");
symbol y("y");
symbol z("z");
ex p = expand(pow(7*y*pow(x*z,2)-3*x*y*z+11*(x+1)*pow(y,2)+5*z+1,4)
*pow(3*x-7*y+2*z-3,5));
ex q = expand(pow(7*y*pow(x*z,2)-3*x*y*z+11*(x+1)*pow(y,2)+5*z+1,3)
*pow(3*x-7*y+2*z+3,6));
ex result = gcd(p,q);
if (result.expand()!=expand(pow(7*y*pow(x*z,2)-3*x*y*z+11*(x+1)*pow(y,2)+5*z+1,3))) {
clog << "gcd(expand((7*y*x^2*z^2-3*x*y*z+11*(x+1)*y^2+5*z+1)^4*(3*x-7*y+2*z-3)^5),expand((7*y*x^2*z^2-3*x*y*z+11*(x+1)*y^2+5*z+1)^3*(3*x-7*y+2*z+3)^6)) erroneously returned " << result << endl;
return 1;
}
return 0;
}
unsigned time_lw_G()
{
unsigned result = 0;
unsigned count = 0;
timer rolex;
double time = .0;
cout << "timing Lewis-Wester test G (gcd of 3-var polys)" << flush;
rolex.start();
// correct for very small times:
do {
result = test();
++count;
} while ((time=rolex.read())<0.1 && !result);
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_G();
}
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