* Lewis and Michael Wester. */
/*
- * GiNaC Copyright (C) 1999-2002 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2018 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;
+
+#include <iostream>
+#include <vector>
+using namespace std;
static unsigned test(unsigned n)
{
matrix hilbert(n,n);
-
+
for (unsigned r=0; r<n; ++r)
for (unsigned c=0; c<n; ++c)
hilbert.set(r,c,numeric(1,r+c+1));
ex det = hilbert.determinant();
-
+
/*
The closed form of the determinant of n x n Hilbert matrices is:
- n-1 / n-1 \
- ----- | ----- |
- | | | pow(factorial(r),2) | | hilbert(r,c) |
- | | | | | |
- r = 0 \ c = 0 /
+ n-1 / \
+ ----- | pow(factorial(r),3) |
+ | | | ------------------- |
+ | | | factorial(r+n) |
+ r = 0 \ /
*/
-
+
ex hilbdet = 1;
- for (unsigned r=0; r<n; ++r) {
- hilbdet *= pow(factorial(numeric(r)),2);
- for (unsigned c=0; c<n; ++c)
- hilbdet *= hilbert(r,c);
- }
-
+ for (unsigned r=0; r<n; ++r)
+ hilbdet *= pow(factorial(r),3)/(factorial(r+n));
+
if (det != hilbdet) {
clog << "determinant of " << n << "x" << n << " erroneously returned " << det << endl;
return 1;
return 0;
}
-unsigned time_lw_H(void)
+unsigned time_lw_H()
{
unsigned result = 0;
unsigned count = 0;
timer rolex;
double time = .0;
-
+
cout << "timing Lewis-Wester test H (det of 80x80 Hilbert)" << flush;
- clog << "-------Lewis-Wester test H (det of 80x80 Hilbert)" << endl;
-
+
rolex.start();
// correct for very small times:
do {
++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;
-
+ cout << time/count << 's' << endl;
+
return result;
}
+
+extern void randomify_symbol_serials();
+
+int main(int argc, char** argv)
+{
+ randomify_symbol_serials();
+ cout << setprecision(2) << showpoint;
+ return time_lw_H();
+}