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) 1999-2019 Johannes Gutenberg University Mainz, Germany
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15 * but WITHOUT ANY WARRANTY; without even the implied warranty of
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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 constexpr 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()
40 matrix d1 = {{a6, a5, a4, a3, a2, a1, 0, 0, 0, 0, 0, 0, 0, 0, 0},
41 {0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0},
42 {0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0},
43 {0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0, 0},
44 {0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0},
45 {0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1},
46 {0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0, 0},
47 {0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0},
48 {0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0},
49 {0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0},
50 {0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1},
51 {0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1},
52 {0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0},
53 {0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0},
54 {0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0}};
56 return d1.determinant();
59 static const ex det2()
61 matrix d2 = {{b6, b5, b4, b3, b2, b1, 0, 0, 0, 0, 0, 0, 0, 0, 0},
62 {0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0},
63 {0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0},
64 {0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0, 0},
65 {0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0},
66 {0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1},
67 {0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0, 0},
68 {0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0},
69 {0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0},
70 {0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0},
71 {0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1},
72 {0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1},
73 {0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0},
74 {0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0},
75 {0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0}};
77 return d2.determinant();
80 static const ex det3()
82 matrix d3 = {{c6, c5, c4, c3, c2, c1, 0, 0, 0, 0, 0, 0, 0, 0, 0},
83 {0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0},
84 {0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0},
85 {0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0, 0},
86 {0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0},
87 {0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1},
88 {0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0, 0},
89 {0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0},
90 {0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0},
91 {0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0},
92 {0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1},
93 {0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1},
94 {0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0},
95 {0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0},
96 {0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0}};
98 return d3.determinant();
101 // The results of test_O1 will be needed for test_O2:
102 static ex d1, d2, d3;
104 static unsigned test_O1()
106 d1 = det1(); cout << '.' << flush;
107 d2 = det2(); cout << '.' << flush;
108 d3 = det3(); cout << '.' << flush;
109 unsigned nops1 = nops(d1);
110 unsigned nops2 = nops(d2);
111 unsigned nops3 = nops(d3);
113 if ((nops1 != 37490) || (nops2 != 37490) || (nops3 != 37490)) {
114 clog << "Determinants were miscalculated" << endl;
120 static unsigned test_O2()
122 const ex gcd1 = gcd( d1, d2 ); cout << '.' << flush;
123 const ex resultant = gcd( gcd1, d3 ); cout << '.' << flush;
124 if (nops(resultant) != 21894) {
125 clog << "Resultant was miscalculated" << endl;
138 cout << "timing Lewis-Wester test O1 (three 15x15 dets)" << flush;
141 // correct for very small times:
145 } while ((time=rolex.read())<0.1 && !result);
150 cout << time/(3*count) << "s (average)" << endl;
152 cout << "timing Lewis-Wester test O2 (Resultant)" << flush;
158 cout << rolex.read() << "s (combined)" << endl;
160 cout << " disabled" << endl;
166 extern void randomify_symbol_serials();
168 int main(int argc, char** argv)
170 randomify_symbol_serials();
171 cout << setprecision(2) << showpoint;