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) 1999-2005 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
26 static const bool do_test = true; // set to true in order to run this beast
28 static unsigned test()
30 // same matrix as in test P':
31 const unsigned n = 10;
32 matrix m(n*n+1,n*n+1);
33 for (unsigned i=1; i<=n*n; ++i)
35 for (unsigned i=1; i<=n*n; ++i)
38 for (unsigned i=1; i<=n*n; ++i)
40 m.set(n*n,i-1,n-(i-1)/n);
41 for(unsigned i=1; i<=n; ++i)
42 for (unsigned j=1; j<=n; ++j)
44 for (unsigned k=1; k<n; ++k)
45 m.set((i-1)*n+k-1,(j-1)*n+k,n+1-j);
48 for (unsigned r=0; r<=n*n; ++r) {
50 for (unsigned c=0; c<n*n; ++c)
51 m2.set(r,c,m2(r,c+1));
54 for (unsigned r=0; r<=n*n; ++r)
55 for (unsigned c=0; c<=n*n; ++c)
56 if (!m(r,c).is_zero())
59 symbol lambda("lambda");
60 ex cp = m2.charpoly(lambda);
62 if (cp.coeff(lambda,0) != numeric("140816284877507872414776")) {
63 clog << "characteristic polynomial miscalculated as " << cp << endl;
69 unsigned time_lw_Qprime()
76 cout << "timing Lewis-Wester test Q' (charpoly(P'))" << flush;
77 clog << "-------Lewis-Wester test Q' (charpoly(P')):" << endl;
81 // correct for very small times:
85 } while ((time=rolex.read())<0.1 && !result);
90 clog << "(no output)" << endl;
94 cout << int(1000*(time/count))*0.001 << 's' << endl;
96 cout << " disabled" << endl;
97 clog << "(no output)" << endl;