1 /** @file time_lw_Qprime.cpp
3 * Test Q' from the paper "Comparison of Polynomial-Oriented CAS" by Robert H.
4 * Lewis and Michael Wester. */
7 * GiNaC Copyright (C) 1999-2007 Johannes Gutenberg University Mainz, Germany
9 * This program is free software; you can redistribute it and/or modify
10 * it under the terms of the GNU General Public License as published by
11 * the Free Software Foundation; either version 2 of the License, or
12 * (at your option) any later version.
14 * This program is distributed in the hope that it will be useful,
15 * but WITHOUT ANY WARRANTY; without even the implied warranty of
16 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
17 * GNU General Public License for more details.
19 * You should have received a copy of the GNU General Public License
20 * along with this program; if not, write to the Free Software
21 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
29 using namespace GiNaC;
31 static const bool do_test = true; // set to true in order to run this beast
33 static unsigned test()
35 // same matrix as in test P':
36 const unsigned n = 10;
37 matrix m(n*n+1,n*n+1);
38 for (unsigned i=1; i<=n*n; ++i)
40 for (unsigned i=1; i<=n*n; ++i)
43 for (unsigned i=1; i<=n*n; ++i)
45 m.set(n*n,i-1,n-(i-1)/n);
46 for(unsigned i=1; i<=n; ++i)
47 for (unsigned j=1; j<=n; ++j)
49 for (unsigned k=1; k<n; ++k)
50 m.set((i-1)*n+k-1,(j-1)*n+k,n+1-j);
53 for (unsigned r=0; r<=n*n; ++r) {
55 for (unsigned c=0; c<n*n; ++c)
56 m2.set(r,c,m2(r,c+1));
59 for (unsigned r=0; r<=n*n; ++r)
60 for (unsigned c=0; c<=n*n; ++c)
61 if (!m(r,c).is_zero())
64 symbol lambda("lambda");
65 ex cp = m2.charpoly(lambda);
67 if (cp.coeff(lambda,0) != numeric("140816284877507872414776")) {
68 clog << "characteristic polynomial miscalculated as " << cp << endl;
74 unsigned time_lw_Qprime()
81 cout << "timing Lewis-Wester test Q' (charpoly(P'))" << flush;
85 // correct for very small times:
89 } while ((time=rolex.read())<0.1 && !result);
91 cout << time/count << 's' << endl;
93 cout << " disabled" << endl;
99 extern void randomify_symbol_serials();
101 int main(int argc, char** argv)
103 randomify_symbol_serials();
104 cout << setprecision(2) << showpoint;
105 return time_lw_Qprime();