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/** @file time_fateman_expand.cpp
*
* Time for polynomial expansion of (x+y+z+1)^20 * ((x+y+z+1)^20+1).
* This test was suggested by Richard J. Fateman as a benchmark for programs
* to multiply sparse polynomials fast.
*/
/*
* 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>
using namespace std;
static unsigned test()
{
unsigned result = 0;
const symbol x("x"), y("y"), z("z");
const ex p = pow(x+y+z+1, 20);
const ex hugesum = expand(p * (p+1));
if (hugesum.nops()!=12341) {
clog << "(x+y+z+1)^20 * ((x+y+z+1)^20+1) was miscomputed!" << endl;
++result;
}
return result;
}
unsigned time_fateman_expand()
{
unsigned result = 0;
unsigned count = 0;
timer concord;
double time = .0;
cout << "timing Fateman's polynomial expand benchmark" << flush;
concord.start();
// correct for very small times:
do {
result = test();
++count;
} while ((time=concord.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_fateman_expand();
}
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