1 /** @file time_lw_Pprime.cpp
3 * Test P' 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 unsigned test()
33 // create the matrix from test P...
34 const unsigned n = 10;
35 matrix m(n*n+1,n*n+1);
36 for (unsigned i=1; i<=n*n; ++i)
38 for (unsigned i=1; i<=n*n; ++i)
41 for (unsigned i=1; i<=n*n; ++i)
43 m.set(n*n,i-1,n-(i-1)/n);
44 for(unsigned i=1; i<=n; ++i)
45 for (unsigned j=1; j<=n; ++j)
47 for (unsigned k=1; k<n; ++k)
48 m.set((i-1)*n+k-1,(j-1)*n+k,n+1-j);
49 // ...and then another, more dense one:
52 for (unsigned r=0; r<=n*n; ++r) {
54 for (unsigned c=0; c<n*n; ++c)
55 m2.set(r,c,m2(r,c+1));
58 for (unsigned r=0; r<=n*n; ++r)
59 for (unsigned c=0; c<=n*n; ++c)
60 if (!m(r,c).is_zero())
63 ex det = m2.determinant();
65 if (det!=numeric("140816284877507872414776")) {
66 clog << "det of less sparse rank 101 matrix erroneously returned " << det << endl;
72 unsigned time_lw_Pprime()
79 cout << "timing Lewis-Wester test P' (det of less sparse rank 101)" << flush;
82 // correct for very small times:
86 } while ((time=rolex.read())<0.1 && !result);
88 cout << time/count << 's' << endl;
93 extern void randomify_symbol_serials();
95 int main(int argc, char** argv)
97 randomify_symbol_serials();
98 cout << setprecision(2) << showpoint;
99 return time_lw_Pprime();