--- /dev/null
+/** @file time_lw_M1.cpp
+ *
+ * Test M1 from the paper "Comparison of Polynomial-Oriented CAS" by Robert H.
+ * Lewis and Michael Wester. */
+
+/*
+ * GiNaC Copyright (C) 1999-2000 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
+ * the Free Software Foundation; either version 2 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ */
+
+#include "times.h"
+
+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");
+ 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*pow(x1*x5,2)*x4-12*x1*pow(x2*x4,2)-12*x3*pow(x4*x5,2)
+ -pow(x5,3)*pow(x4,2)-12*x1*pow(x4*x5,2)-12*x2*pow(x4*x5,2)
+ -pow(x4,3)*pow(x5,2)-2*pow(x5,3)*x4*x3-2*pow(x4,3)*x5*x3
+ -36*x3*x1*pow(x5,2)*x4-36*x3*x1*pow(x4,2)*x5-12*pow(x3*x5,2)*x4
+ -12*pow(x3*x4,2)*x5-36*x3*x2*pow(x5,2)*x4-36*x3*x2*pow(x4,2)*x5
+ -36*x1*x5*pow(x3,2)*x4-36*x2*x5*pow(x3,2)*x4-12*x1*pow(x3*x5,2)
+ -12*x1*pow(x3*x4,2)-pow(x3,3)*pow(x5,2)-pow(x3,3)*pow(x4,2)
+ -2*pow(x3,3)*x5*x4-12*x2*pow(x3*x5,2)-12*x2*pow(x3*x4,2)
+ -12*x1*pow(x2*x5,2)-12*pow(x2*x5,2)*x4-12*pow(x2*x4,2)*x5
+ -12*pow(x2*x5,2)*x3-12*pow(x2*x4,2)*x3-12*pow(x2*x3,2)*x5
+ -12*pow(x2*x3,2)*x4-pow(x3,2)*pow(x5,3)-pow(x3,2)*pow(x4,3)
+ -2*pow(x5,3)*x4*x2-2*pow(x4,3)*x5*x2-2*x3*pow(x5,3)*x2
+ -2*x3*pow(x4,3)*x2-2*pow(x3,3)*x5*x2-2*pow(x3,3)*x4*x2
+ -2*pow(x2,3)*x5*x4-36*x2*x1*pow(x5,2)*x4-36*x2*x1*pow(x4,2)*x5
+ -120*x2*x1*x5*x4*x3-36*x2*x1*pow(x5,2)*x3-36*x2*x1*pow(x4,2)*x3
+ -36*x2*x1*pow(x3,2)*x5-36*x2*x1*pow(x3,2)*x4-36*pow(x2,2)*x5*x4*x3
+ -36*pow(x1,2)*x5*x4*x3-12*pow(x1*x5,2)*x3-12*pow(x1*x4,2)*x3
+ -12*pow(x1*x3,2)*x5-12*pow(x1*x3,2)*x4-12*pow(x1*x5,2)*x2
+ -12*pow(x1*x4,2)*x2-12*pow(x1*x3,2)*x2-12*pow(x1*x2,2)*x5
+ -12*pow(x1*x2,2)*x4-12*pow(x1*x2,2)*x3-pow(x2,2)*pow(x5,3)
+ -pow(x2,2)*pow(x4,3)-pow(x2,2)*pow(x3,3)-36*x1*x5*pow(x2,2)*x4
+ -36*x1*x5*pow(x2,2)*x3-36*x1*x4*pow(x2,2)*x3-36*x2*pow(x1,2)*x5*x4
+ -pow(x2,3)*pow(x5,2)-pow(x2,3)*pow(x4,2)-pow(x2,3)*pow(x3,2)
+ -2*pow(x2,3)*x5*x3-2*pow(x2,3)*x4*x3-12*x1*pow(x2*x3,2)
+ -12*pow(x1*x4,2)*x5-pow(x1,3)*pow(x5,2)-pow(x1,3)*pow(x4,2)
+ -pow(x1,3)*pow(x3,2)-pow(x1,3)*pow(x2,2)-pow(x1,2)*pow(x5,3)
+ -pow(x1,2)*pow(x4,3)-pow(x1,2)*pow(x3,3)-pow(x1,2)*pow(x2,3)
+ -36*x2*x3*pow(x1,2)*x5-36*x2*x3*pow(x1,2)*x4-2*pow(x5,3)*x4*x1
+ -2*pow(x4,3)*x5*x1-2*x3*pow(x5,3)*x1-2*x3*pow(x4,3)*x1
+ -2*pow(x3,3)*x5*x1-2*pow(x3,3)*x4*x1-2*x2*pow(x5,3)*x1
+ -2*x2*pow(x4,3)*x1-2*x2*pow(x3,3)*x1-2*pow(x2,3)*x5*x1
+ -2*pow(x2,3)*x4*x1-2*pow(x2,3)*x3*x1-2*pow(x1,3)*x5*x4
+ -2*pow(x1,3)*x5*x3-2*pow(x1,3)*x5*x2-2*pow(x1,3)*x4*x3
+ -2*pow(x1,3)*x4*x2-2*pow(x1,3)*x3*x2;
+ 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;
try {
- for (int i=0; i<1; ++i)
- result += time_dennyfliegner();
+ result += time_dennyfliegner();
} catch (const exception &e) {
cout << "Error: caught exception " << e.what() << endl;
++result;
}
try {
- for (int i=0; i<1; ++i)
- result += time_gammaseries();
+ result += time_gammaseries();
} catch (const exception &e) {
cout << "Error: caught exception " << e.what() << endl;
++result;
}
try {
- for (int i=0; i<1; ++i)
- result += time_vandermonde();
+ result += time_vandermonde();
} catch (const exception &e) {
cout << "Error: caught exception " << e.what() << endl;
++result;
}
try {
- for (int i=0; i<1; ++i)
- result += time_toeplitz();
+ result += time_toeplitz();
} catch (const exception &e) {
cout << "Error: caught exception " << e.what() << endl;
++result;
}
try {
- for (int i=0; i<1; ++i)
- result += time_lw_A();
+ result += time_lw_A();
} catch (const exception &e) {
cout << "Error: caught exception " << e.what() << endl;
++result;
}
try {
- for (int i=0; i<1; ++i)
- result += time_lw_B();
+ result += time_lw_B();
} catch (const exception &e) {
cout << "Error: caught exception " << e.what() << endl;
++result;
}
try {
- for (int i=0; i<1; ++i)
- result += time_lw_C();
+ result += time_lw_C();
} catch (const exception &e) {
cout << "Error: caught exception " << e.what() << endl;
++result;
}
try {
- for (int i=0; i<1; ++i)
- result += time_lw_D();
+ result += time_lw_D();
} catch (const exception &e) {
cout << "Error: caught exception " << e.what() << endl;
++result;
}
try {
- for (int i=0; i<1; ++i)
- result += time_lw_E();
+ result += time_lw_E();
} catch (const exception &e) {
cout << "Error: caught exception " << e.what() << endl;
++result;
}
try {
- for (int i=0; i<1; ++i)
- result += time_lw_F();
+ result += time_lw_F();
} catch (const exception &e) {
cout << "Error: caught exception " << e.what() << endl;
++result;
}
try {
- for (int i=0; i<1; ++i)
- result += time_lw_G();
+ result += time_lw_G();
} catch (const exception &e) {
cout << "Error: caught exception " << e.what() << endl;
++result;
}
try {
- for (int i=0; i<1; ++i)
- result += time_lw_H();
+ result += time_lw_H();
} catch (const exception &e) {
cout << "Error: caught exception " << e.what() << endl;
++result;
}
try {
- for (int i=0; i<1; ++i)
- result += time_lw_O();
+ result += time_lw_M1();
} catch (const exception &e) {
cout << "Error: caught exception " << e.what() << endl;
++result;
}
try {
- for (int i=0; i<1; ++i)
- result += time_lw_P();
+ result += time_lw_O();
} catch (const exception &e) {
cout << "Error: caught exception " << e.what() << endl;
++result;
}
try {
- for (int i=0; i<1; ++i)
- result += time_lw_Pprime();
+ result += time_lw_P();
+ } catch (const exception &e) {
+ cout << "Error: caught exception " << e.what() << endl;
+ ++result;
+ }
+
+ try {
+ result += time_lw_Pprime();
} catch (const exception &e) {
cout << "Error: caught exception " << e.what() << endl;
++result;