1 /** @file time_lw_M1.cpp
3 * Test M1 from the paper "Comparison of Polynomial-Oriented CAS" by Robert H.
4 * Lewis and Michael Wester. */
7 * GiNaC Copyright (C) 1999-2003 Johannes Gutenberg University Mainz, Germany
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26 static unsigned test()
28 // Determinant of a sparse matrix that comes up in graph theory:
29 symbol x1("x1"), x2("x2"), x3("x3"), x4("x4"), x5("x5");
31 { 1, 1, 1, 7, x4, 12, x3, 17, x2, 22, x1},
32 { 2, 2, 1, 8, x4, 13, x3, 18, x2, 23, x1},
33 { 3, 3, 1, 9, x4, 14, x3, 19, x2, 24, x1},
34 { 4, 4, 1, 10, x4, 15, x3, 20, x2, 25, x1},
35 { 5, 5, 1, 26, 1, 1, 0, 1, 0, 1, 0 },
36 { 6, 2, x5, 6, 1, 12, x3, 17, x2, 22, x1},
37 { 7, 3, x5, 7, 1, 13, x3, 18, x2, 23, x1},
38 { 8, 4, x5, 8, 1, 14, x3, 19, x2, 24, x1},
39 { 9, 5, x5, 9, 1, 15, x3, 20, x2, 25, x1},
40 {10, 10, 1, 26, 1, 1, 0, 1, 0, 1, 0 },
41 {11, 2, x5, 7, x4, 11, 1, 17, x2, 22, x1},
42 {12, 3, x5, 8, x4, 12, 1, 18, x2, 23, x1},
43 {13, 4, x5, 9, x4, 13, 1, 19, x2, 24, x1},
44 {14, 5, x5, 10, x4, 14, 1, 20, x2, 25, x1},
45 {15, 15, 1, 26, 1, 1, 0, 1, 0, 1, 0 },
46 {16, 2, x5, 7, x4, 12, x3, 16, 1, 22, x1},
47 {17, 3, x5, 8, x4, 13, x3, 17, 1, 23, x1},
48 {18, 4, x5, 9, x4, 14, x3, 18, 1, 24, x1},
49 {19, 5, x5, 10, x4, 15, x3, 19, 1, 25, x1},
50 {20, 20, 1, 26, 1, 1, 0, 1, 0, 1, 0 },
51 {21, 2, x5, 7, x4, 12, x3, 17, x2, 21, 1 },
52 {22, 3, x5, 8, x4, 13, x3, 18, x2, 22, 1 },
53 {23, 4, x5, 9, x4, 14, x3, 19, x2, 23, 1 },
54 {24, 5, x5, 10, x4, 15, x3, 20, x2, 24, 1 },
55 {25, 25, 1, 26, 1, 1, 0, 1, 0, 1, 0 },
56 {26, 1, x5, 6, x4, 11, x3, 16, x2, 21, x1}
59 for (unsigned r=0; r<26; ++r) {
60 for (unsigned c=0; c<5; ++c) {
62 unsigned(ex_to<numeric>(w[r][2*c+1]).to_int()-1),
66 ex det = m.determinant();
67 // The result should have been:
68 ex cmp("-12*x2^2*x5^2*x4-12*x1*x5^2*x3^2-x5^3*x4^2-12*x1*x5^2*x4^2-12*x2*x5^2*x4^2-12*x3*x5^2*x4^2-x4^3*x5^2-36*x3*x1*x5^2*x4-36*x3*x1*x4^2*x5-36*x3*x2*x5^2*x4-36*x3*x2*x4^2*x5-2*x5^3*x4*x2-12*x3^2*x5^2*x4-12*x3^2*x4^2*x5-2*x5^3*x4*x3-2*x4^3*x5*x3-12*x1*x5^2*x2^2-36*x1*x5*x3^2*x4-36*x2*x5*x3^2*x4-x3^3*x5^2-x3^3*x4^2-2*x3^3*x5*x4-12*x2^2*x4^2*x5-12*x2*x5^2*x3^2-12*x2*x4^2*x3^2-12*x1*x4^2*x3^2-x3^2*x5^3-x3^2*x4^3-2*x4^3*x5*x2-2*x3*x5^3*x2-2*x3*x4^3*x2-2*x3^3*x5*x2-2*x3^3*x4*x2-2*x2^3*x5*x4-2*x2^3*x5*x3-2*x2^3*x4*x3-36*x2^2*x5*x4*x3-36*x2*x1*x5^2*x4-36*x2*x1*x4^2*x5-120*x2*x1*x5*x4*x3-36*x2*x1*x5^2*x3-36*x2*x1*x4^2*x3-36*x2*x1*x3^2*x5-36*x2*x1*x3^2*x4-12*x2^2*x5^2*x3-12*x2^2*x4^2*x3-12*x2^2*x3^2*x5-12*x2^2*x3^2*x4-2*x1^3*x4*x3-2*x1^3*x4*x2-2*x1^3*x3*x2-2*x1^3*x5*x2-36*x1^2*x5*x4*x3-36*x2*x1^2*x5*x4-36*x2*x3*x1^2*x5-36*x2*x3*x1^2*x4-x1^3*x5^2-x1^3*x4^2-x1^3*x3^2-x1^3*x2^2-x2^2*x5^3-x2^2*x4^3-x2^2*x3^3-12*x1*x4^2*x2^2-12*x1*x3^2*x2^2-12*x1^2*x5^2*x4-12*x1^2*x4^2*x5-12*x1^2*x5^2*x3-12*x1^2*x4^2*x3-12*x1^2*x3^2*x5-12*x1^2*x3^2*x4-12*x1^2*x5^2*x2-12*x1^2*x4^2*x2-12*x1^2*x3^2*x2-12*x1^2*x2^2*x5-12*x1^2*x2^2*x4-12*x1^2*x2^2*x3-2*x5^3*x4*x1-2*x4^3*x5*x1-2*x3*x5^3*x1-2*x3*x4^3*x1-2*x3^3*x5*x1-2*x3^3*x4*x1-2*x2*x5^3*x1-2*x2*x4^3*x1-2*x2*x3^3*x1-2*x2^3*x5*x1-2*x2^3*x4*x1-2*x2^3*x3*x1-2*x1^3*x5*x4-2*x1^3*x5*x3-36*x1*x5*x2^2*x4-36*x1*x5*x2^2*x3-36*x1*x4*x2^2*x3-x1^2*x5^3-x1^2*x4^3-x1^2*x3^3-x2^3*x5^2-x2^3*x4^2-x2^3*x3^2-x1^2*x2^3",lst(x1,x2,x3,x4,x5));
70 clog << "The determinant was miscalculated" << endl;
83 cout << "timing Lewis-Wester test M1 (26x26 sparse, det)" << flush;
84 clog << "-------Lewis-Wester test M1 (26x26 sparse, det):" << endl;
87 // correct for very small times:
91 } while ((time=rolex.read())<0.1 && !result);
96 clog << "(no output)" << endl;
100 cout << int(1000*(time/count))*0.001 << 's' << endl;