* Lewis and Michael Wester. */
/*
- * GiNaC Copyright (C) 1999-2002 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2016 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
*
* 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
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
-#include "times.h"
+#include "ginac.h"
+#include "timer.h"
+using namespace GiNaC;
-static const bool do_test = true; // set to true in order to run this beast
+#include <iostream>
+#include <vector>
+using namespace std;
-static unsigned test1(void)
+constexpr bool do_test2 = false; // set to true in order to run this beast
+
+static const symbol a1("a1"), a2("a2"), a3("a3"), a4("a4"), a5("a5"), a6("a6");
+static const symbol b1("b1"), b2("b2"), b3("b3"), b4("b4"), b5("b5"), b6("b6");
+static const symbol c1("c1"), c2("c2"), c3("c3"), c4("c4"), c5("c5"), c6("c6");
+
+static const ex det1()
{
- symbol a1("a1"), a2("a2"), a3("a3"), a4("a4"), a5("a5"), a6("a6");
- symbol b1("b1"), b2("b2"), b3("b3"), b4("b4"), b5("b5"), b6("b6");
- symbol c1("c1"), c2("c2"), c3("c3"), c4("c4"), c5("c5"), c6("c6");
- ex w1[15][15] = {
- {a6, a5, a4, a3, a2, a1, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
- {0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0 },
- {0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0 },
- {0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0, 0 },
- {0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0 },
- {0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1},
- {0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0, 0 },
- {0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0 },
- {0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0 },
- {0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0 },
- {0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1},
- {0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1},
- {0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0 },
- {0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0 },
- {0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0 }
- };
- ex w2[15][15] = {
- {b6, b5, b4, b3, b2, b1, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
- {0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0 },
- {0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0 },
- {0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0, 0 },
- {0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0 },
- {0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1},
- {0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0, 0 },
- {0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0 },
- {0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0 },
- {0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0 },
- {0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1},
- {0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1},
- {0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0 },
- {0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0 },
- {0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0 }
- };
- ex w3[15][15] = {
- {c6, c5, c4, c3, c2, c1, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
- {0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0 },
- {0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0 },
- {0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0, 0 },
- {0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0 },
- {0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1},
- {0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0, 0 },
- {0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0 },
- {0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0 },
- {0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0 },
- {0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1},
- {0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1},
- {0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0 },
- {0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0 },
- {0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0 }
- };
- matrix d1(15,15), d2(15,15), d3(15,15);
- for (unsigned r=0; r<15; ++r) {
- for (unsigned c=0; c<15; ++c) {
- d1.set(r,c,w1[r][c]);
- d2.set(r,c,w2[r][c]);
- d3.set(r,c,w3[r][c]);
- }
- }
- unsigned nops1 = nops(d1.determinant()); cout << '.' << flush;
- unsigned nops2 = nops(d2.determinant()); cout << '.' << flush;
- unsigned nops3 = nops(d3.determinant()); cout << '.' << flush;
-
+ matrix d1 = {{a6, a5, a4, a3, a2, a1, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+ {0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0},
+ {0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0},
+ {0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0, 0},
+ {0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0},
+ {0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1},
+ {0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0, 0},
+ {0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0},
+ {0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0},
+ {0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0},
+ {0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1},
+ {0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1},
+ {0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0},
+ {0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0},
+ {0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0}};
+
+ return d1.determinant();
+}
+
+static const ex det2()
+{
+ matrix d2 = {{b6, b5, b4, b3, b2, b1, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+ {0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0},
+ {0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0},
+ {0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0, 0},
+ {0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0},
+ {0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1},
+ {0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0, 0},
+ {0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0},
+ {0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0},
+ {0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0},
+ {0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1},
+ {0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1},
+ {0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0},
+ {0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0},
+ {0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0}};
+
+ return d2.determinant();
+}
+
+static const ex det3()
+{
+ matrix d3 = {{c6, c5, c4, c3, c2, c1, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+ {0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0},
+ {0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0},
+ {0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0, 0},
+ {0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0},
+ {0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1},
+ {0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0, 0},
+ {0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0},
+ {0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0},
+ {0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0},
+ {0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1},
+ {0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1},
+ {0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0},
+ {0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0},
+ {0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0}};
+
+ return d3.determinant();
+}
+
+// The results of test_O1 will be needed for test_O2:
+static ex d1, d2, d3;
+
+static unsigned test_O1()
+{
+ d1 = det1(); cout << '.' << flush;
+ d2 = det2(); cout << '.' << flush;
+ d3 = det3(); cout << '.' << flush;
+ unsigned nops1 = nops(d1);
+ unsigned nops2 = nops(d2);
+ unsigned nops3 = nops(d3);
+
if ((nops1 != 37490) || (nops2 != 37490) || (nops3 != 37490)) {
clog << "Determinants were miscalculated" << endl;
return 1;
return 0;
}
-unsigned time_lw_O(void)
+static unsigned test_O2()
+{
+ const ex gcd1 = gcd( d1, d2 ); cout << '.' << flush;
+ const ex resultant = gcd( gcd1, d3 ); cout << '.' << flush;
+ if (nops(resultant) != 21894) {
+ clog << "Resultant was miscalculated" << endl;
+ return 1;
+ }
+ return 0;
+}
+
+unsigned time_lw_O()
{
unsigned result = 0;
unsigned count = 0;
timer rolex;
double time = .0;
-
+
cout << "timing Lewis-Wester test O1 (three 15x15 dets)" << flush;
- clog << "-------Lewis-Wester test O1 (three 15x15 dets)" << endl;
+
+ rolex.start();
+ // correct for very small times:
+ do {
+ result = test_O1();
+ ++count;
+ } while ((time=rolex.read())<0.1 && !result);
+
+ if (result)
+ return result;
- if (do_test) {
- rolex.start();
- // correct for very small times:
- do {
- result = test1();
- ++count;
- } while ((time=rolex.read())<0.1 && !result);
-
- if (!result) {
- cout << " passed ";
- clog << "(no output)" << endl;
- } else {
- cout << " failed ";
- }
- cout << int(1000*(time/(3*count)))*0.001 << "s (average)" << endl;
+ cout << time/(3*count) << "s (average)" << endl;
+
+ cout << "timing Lewis-Wester test O2 (Resultant)" << flush;
+
+ if (do_test2) {
+ rolex.reset();
+ result += test_O2();
+
+ cout << rolex.read() << "s (combined)" << endl;
} else {
cout << " disabled" << endl;
- clog << "(no output)" << endl;
}
-
+
return result;
}
+
+extern void randomify_symbol_serials();
+
+int main(int argc, char** argv)
+{
+ randomify_symbol_serials();
+ cout << setprecision(2) << showpoint;
+ return time_lw_O();
+}