1 /** @file time_lw_O.cpp
3 * Test O1 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
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 using namespace GiNaC;
32 static const bool do_test2 = false; // set to true in order to run this beast
34 static const symbol a1("a1"), a2("a2"), a3("a3"), a4("a4"), a5("a5"), a6("a6");
35 static const symbol b1("b1"), b2("b2"), b3("b3"), b4("b4"), b5("b5"), b6("b6");
36 static const symbol c1("c1"), c2("c2"), c3("c3"), c4("c4"), c5("c5"), c6("c6");
38 static const ex det1()
41 d1 = a6, a5, a4, a3, a2, a1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
42 0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0,
43 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0,
44 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0, 0,
45 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0,
46 0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1,
47 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0, 0,
48 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0,
49 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0,
50 0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0,
51 0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1,
52 0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1,
53 0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0,
54 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0,
55 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0;
57 return d1.determinant();
60 static const ex det2()
63 d2 = b6, b5, b4, b3, b2, b1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
64 0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0,
65 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0,
66 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0, 0,
67 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0,
68 0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1,
69 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0, 0,
70 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0,
71 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0,
72 0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0,
73 0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1,
74 0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1,
75 0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0,
76 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0,
77 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0;
79 return d2.determinant();
82 static const ex det3()
85 d3 = c6, c5, c4, c3, c2, c1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
86 0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0,
87 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0,
88 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0, 0,
89 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0,
90 0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1,
91 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0, 0,
92 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0,
93 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0,
94 0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0,
95 0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1,
96 0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1,
97 0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0,
98 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0,
99 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0;
101 return d3.determinant();
104 // The results of test_O1 will be needed for test_O2:
105 static ex d1, d2, d3;
107 static unsigned test_O1()
109 d1 = det1(); cout << '.' << flush;
110 d2 = det2(); cout << '.' << flush;
111 d3 = det3(); cout << '.' << flush;
112 unsigned nops1 = nops(d1);
113 unsigned nops2 = nops(d2);
114 unsigned nops3 = nops(d3);
116 if ((nops1 != 37490) || (nops2 != 37490) || (nops3 != 37490)) {
117 clog << "Determinants were miscalculated" << endl;
123 static unsigned test_O2()
125 const ex gcd1 = gcd( d1, d2 ); cout << '.' << flush;
126 const ex resultant = gcd( gcd1, d3 ); cout << '.' << flush;
127 if (nops(resultant) != 21894) {
128 clog << "Resultant was miscalculated" << endl;
141 cout << "timing Lewis-Wester test O1 (three 15x15 dets)" << flush;
144 // correct for very small times:
148 } while ((time=rolex.read())<0.1 && !result);
153 cout << time/(3*count) << "s (average)" << endl;
155 cout << "timing Lewis-Wester test O2 (Resultant)" << flush;
161 cout << rolex.read() << "s (combined)" << endl;
163 cout << " disabled" << endl;
169 extern void randomify_symbol_serials();
171 int main(int argc, char** argv)
173 randomify_symbol_serials();
174 cout << setprecision(2) << showpoint;