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) 1999-2009 Johannes Gutenberg University Mainz, Germany
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10 * it under the terms of the GNU General Public License as published by
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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.
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21 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
26 using namespace GiNaC;
32 static unsigned test()
34 // create the matrix from test P...
35 const unsigned n = 10;
36 matrix m(n*n+1,n*n+1);
37 for (unsigned i=1; i<=n*n; ++i)
39 for (unsigned i=1; i<=n*n; ++i)
42 for (unsigned i=1; i<=n*n; ++i)
44 m.set(n*n,i-1,n-(i-1)/n);
45 for(unsigned i=1; i<=n; ++i)
46 for (unsigned j=1; j<=n; ++j)
48 for (unsigned k=1; k<n; ++k)
49 m.set((i-1)*n+k-1,(j-1)*n+k,n+1-j);
50 // ...and then another, more dense one:
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 ex det = m2.determinant();
66 if (det!=numeric("140816284877507872414776")) {
67 clog << "det of less sparse rank 101 matrix erroneously returned " << det << endl;
73 unsigned time_lw_Pprime()
80 cout << "timing Lewis-Wester test P' (det of less sparse rank 101)" << flush;
83 // correct for very small times:
87 } while ((time=rolex.read())<0.1 && !result);
89 cout << time/count << 's' << endl;
94 extern void randomify_symbol_serials();
96 int main(int argc, char** argv)
98 randomify_symbol_serials();
99 cout << setprecision(2) << showpoint;
100 return time_lw_Pprime();