/** @file time_lw_Qprime.cpp
*
* Test Q' from the paper "Comparison of Polynomial-Oriented CAS" by Robert H.
* Lewis and Michael Wester. */
/*
* GiNaC Copyright (C) 1999-2000 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"
#include "time_lw_w101n.h"
static unsigned test(void)
{
matrix m(101,101);
symbol lambda("lambda");
for (unsigned r=0; r<101; ++r) {
for (unsigned c=0; c<10; ++c) {
m.set(r,
unsigned(ex_to_numeric(w101_numeric[r][2*c+1]).to_int()-1),
w101_numeric[r][2*c+2]);
}
}
matrix m2(m);
ex a;
for (unsigned r=0; r<101; ++r) {
a = m2(r,0);
for (unsigned c=0; c<100; ++c) {
m2.set(r,c,m2(r,c+1));
}
m2.set(r,100,a);
}
for (unsigned r=0; r<101; ++r) {
for (unsigned c=0; c<101; ++c) {
if (!m(r,c).is_zero())
m2.set(r,c,m(r,c));
}
}
ex cp = m2.charpoly(lambda);
if (cp.coeff(lambda,0) != numeric("140816284877507872414776")) {
clog << "characteristic polynomial miscalculated as " << cp << endl;
return 1;
}
return 0;
}
unsigned time_lw_Qprime(void)
{
unsigned result = 0;
unsigned count = 0;
timer rolex;
double time = .0;
cout << "timing Lewis-Wester test Q' (charpoly(P'))" << flush;
clog << "-------Lewis-Wester test Q' (charpoly(P'))" << endl;
rolex.start();
// correct for very small times:
do {
result = test();
++count;
} while ((time=rolex.read())<0.1 && !result);
cout << '.' << flush;
if (!result) {
cout << " passed ";
clog << "(no output)" << endl;
} else {
cout << " failed ";
}
cout << int(1000*(time/count))*0.001 << 's' << endl;
return result;
}