* Lewis and Michael Wester. */
/*
- * GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
static unsigned test(void)
{
- // Determinant of a sparse matrix that comes up in graph theory:
- symbol x1("x1"), x2("x2"), x3("x3"), x4("x4"), x5("x5");
- static ex w[26][11] = {
- { 1, 1, 1, 7, x4, 12, x3, 17, x2, 22, x1},
- { 2, 2, 1, 8, x4, 13, x3, 18, x2, 23, x1},
- { 3, 3, 1, 9, x4, 14, x3, 19, x2, 24, x1},
- { 4, 4, 1, 10, x4, 15, x3, 20, x2, 25, x1},
- { 5, 5, 1, 26, 1, 1, 0, 1, 0, 1, 0 },
- { 6, 2, x5, 6, 1, 12, x3, 17, x2, 22, x1},
- { 7, 3, x5, 7, 1, 13, x3, 18, x2, 23, x1},
- { 8, 4, x5, 8, 1, 14, x3, 19, x2, 24, x1},
- { 9, 5, x5, 9, 1, 15, x3, 20, x2, 25, x1},
- {10, 10, 1, 26, 1, 1, 0, 1, 0, 1, 0 },
- {11, 2, x5, 7, x4, 11, 1, 17, x2, 22, x1},
- {12, 3, x5, 8, x4, 12, 1, 18, x2, 23, x1},
- {13, 4, x5, 9, x4, 13, 1, 19, x2, 24, x1},
- {14, 5, x5, 10, x4, 14, 1, 20, x2, 25, x1},
- {15, 15, 1, 26, 1, 1, 0, 1, 0, 1, 0 },
- {16, 2, x5, 7, x4, 12, x3, 16, 1, 22, x1},
- {17, 3, x5, 8, x4, 13, x3, 17, 1, 23, x1},
- {18, 4, x5, 9, x4, 14, x3, 18, 1, 24, x1},
- {19, 5, x5, 10, x4, 15, x3, 19, 1, 25, x1},
- {20, 20, 1, 26, 1, 1, 0, 1, 0, 1, 0 },
- {21, 2, x5, 7, x4, 12, x3, 17, x2, 21, 1 },
- {22, 3, x5, 8, x4, 13, x3, 18, x2, 22, 1 },
- {23, 4, x5, 9, x4, 14, x3, 19, x2, 23, 1 },
- {24, 5, x5, 10, x4, 15, x3, 20, x2, 24, 1 },
- {25, 25, 1, 26, 1, 1, 0, 1, 0, 1, 0 },
- {26, 1, x5, 6, x4, 11, x3, 16, x2, 21, x1}
- };
- matrix m(26,26);
- for (unsigned r=0; r<26; ++r) {
- for (unsigned c=0; c<5; ++c) {
- m.set(r,
- unsigned(ex_to_numeric(w[r][2*c+1]).to_int()-1),
- w[r][2*c+2]);
- }
- }
- ex det = m.determinant();
- // The result should have been:
- 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));
- if (det!=cmp) {
- clog << "The determinant was miscalculated" << endl;
- return 1;
- }
- return 0;
+ // Determinant of a sparse matrix that comes up in graph theory:
+ symbol x1("x1"), x2("x2"), x3("x3"), x4("x4"), x5("x5");
+ static ex w[26][11] = {
+ { 1, 1, 1, 7, x4, 12, x3, 17, x2, 22, x1},
+ { 2, 2, 1, 8, x4, 13, x3, 18, x2, 23, x1},
+ { 3, 3, 1, 9, x4, 14, x3, 19, x2, 24, x1},
+ { 4, 4, 1, 10, x4, 15, x3, 20, x2, 25, x1},
+ { 5, 5, 1, 26, 1, 1, 0, 1, 0, 1, 0 },
+ { 6, 2, x5, 6, 1, 12, x3, 17, x2, 22, x1},
+ { 7, 3, x5, 7, 1, 13, x3, 18, x2, 23, x1},
+ { 8, 4, x5, 8, 1, 14, x3, 19, x2, 24, x1},
+ { 9, 5, x5, 9, 1, 15, x3, 20, x2, 25, x1},
+ {10, 10, 1, 26, 1, 1, 0, 1, 0, 1, 0 },
+ {11, 2, x5, 7, x4, 11, 1, 17, x2, 22, x1},
+ {12, 3, x5, 8, x4, 12, 1, 18, x2, 23, x1},
+ {13, 4, x5, 9, x4, 13, 1, 19, x2, 24, x1},
+ {14, 5, x5, 10, x4, 14, 1, 20, x2, 25, x1},
+ {15, 15, 1, 26, 1, 1, 0, 1, 0, 1, 0 },
+ {16, 2, x5, 7, x4, 12, x3, 16, 1, 22, x1},
+ {17, 3, x5, 8, x4, 13, x3, 17, 1, 23, x1},
+ {18, 4, x5, 9, x4, 14, x3, 18, 1, 24, x1},
+ {19, 5, x5, 10, x4, 15, x3, 19, 1, 25, x1},
+ {20, 20, 1, 26, 1, 1, 0, 1, 0, 1, 0 },
+ {21, 2, x5, 7, x4, 12, x3, 17, x2, 21, 1 },
+ {22, 3, x5, 8, x4, 13, x3, 18, x2, 22, 1 },
+ {23, 4, x5, 9, x4, 14, x3, 19, x2, 23, 1 },
+ {24, 5, x5, 10, x4, 15, x3, 20, x2, 24, 1 },
+ {25, 25, 1, 26, 1, 1, 0, 1, 0, 1, 0 },
+ {26, 1, x5, 6, x4, 11, x3, 16, x2, 21, x1}
+ };
+ matrix m(26,26);
+ for (unsigned r=0; r<26; ++r) {
+ for (unsigned c=0; c<5; ++c) {
+ m.set(r,
+ unsigned(ex_to<numeric>(w[r][2*c+1]).to_int()-1),
+ w[r][2*c+2]);
+ }
+ }
+ ex det = m.determinant();
+ // The result should have been:
+ 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));
+ if (det!=cmp) {
+ clog << "The determinant was miscalculated" << endl;
+ return 1;
+ }
+ return 0;
}
unsigned time_lw_M1(void)
{
- unsigned result = 0;
- unsigned count = 0;
- timer rolex;
- double time = .0;
-
- cout << "timing Lewis-Wester test M1 (26x26 sparse, det)" << flush;
- clog << "-------Lewis-Wester test M1 (26x26 sparse, det)" << endl;
-
- rolex.start();
- // correct for very small times:
- do {
- result = test();
- ++count;
- } while ((time=rolex.read())<0.1 && !result);
- cout << '.' << flush;
-
- if (!result) {
- cout << " passed ";
- clog << "(no output)" << endl;
- } else {
- cout << " failed ";
- }
- cout << int(1000*(time/count))*0.001 << 's' << endl;
-
- return result;
+ unsigned result = 0;
+ unsigned count = 0;
+ timer rolex;
+ double time = .0;
+
+ cout << "timing Lewis-Wester test M1 (26x26 sparse, det)" << flush;
+ clog << "-------Lewis-Wester test M1 (26x26 sparse, det)" << endl;
+
+ rolex.start();
+ // correct for very small times:
+ do {
+ result = test();
+ ++count;
+ } while ((time=rolex.read())<0.1 && !result);
+ cout << '.' << flush;
+
+ if (!result) {
+ cout << " passed ";
+ clog << "(no output)" << endl;
+ } else {
+ cout << " failed ";
+ }
+ cout << int(1000*(time/count))*0.001 << 's' << endl;
+
+ return result;
}
git://www.ginac.de / ginac.git / blobdiff