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/** @file heur_gcd_bug.cpp
*
* exam_heur_gcd.cpp Check for a bug in heur_gcd().
*
* heur_gcd() did not check if the arguments are integer polynomials
* (and did not convert them to integer polynomials), which lead to
* endless loop or (even worse) wrong result. */
/*
* 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"
using namespace GiNaC;
#include <iostream>
using namespace std;
int main(int argc, char** argv)
{
cout << "examining if heur_gcd() can cope with rational polynomials. ";
const symbol x("x");
const ex _ex1(1);
ex a1 = x + numeric(5, 4);
ex a2 = x + numeric(5, 2);
ex b = pow(x, 2) + numeric(15, 4)*x + numeric(25, 8);
// note: both a1 and a2 divide b
// a2 divides b, so cofactor of a2 should be a (rational) number
ex ca2, cb2;
ex g2 = gcd(a2, b, &ca2, &cb2);
if (!is_a<numeric>(ca2)) {
cerr << "gcd(" << a2 << ", " << b << ") was miscomputed" << endl;
return 1;
}
ex ca1, cb1;
// a1 divides b, so cofactor of a1 should be a (rational) number
ex g1 = gcd(a1, b, &ca1, &cb1);
if (!is_a<numeric>(ca1)) {
cerr << "gcd(" << a1 << ", " << b << ") was miscomputed" << endl;
return 1;
}
return 0;
}
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