X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=check%2Ftime_lw_H.cpp;h=ffe59484dff5b54b6ab902b53b19ee0c08e02be5;hp=a7c5c852ddbe149e04a0f49978f3eb7dbfa48d05;hb=55af76071727bd6e2fd540ad58eac26dd961f9c9;hpb=70ff026226b1a1a7530e8a1d934b98ad42795a1d

diff --git a/check/time_lw_H.cpp b/check/time_lw_H.cpp
index a7c5c852..ffe59484 100644
--- a/check/time_lw_H.cpp
+++ b/check/time_lw_H.cpp
@@ -4,7 +4,7 @@
  *  Lewis and Michael Wester. */
 
 /*
- *  GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2008 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
@@ -18,52 +18,72 @@
  *
  *  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 <iostream>
+#include <vector>
+#include "ginac.h"
+#include "timer.h"
+using namespace std;
+using namespace GiNaC;
 
-static unsigned test(void)
+static unsigned test(unsigned n)
 {
-    matrix h80(80,80);
-    
-    for (unsigned r=0; r<80; ++r)
-        for (unsigned c=0; c<80; ++c)
-            h80.set(r,c,numeric(1,r+c+1));
-    ex det = h80.determinant();
-    
-    if (abs(det.evalf()-numeric(".10097939769690107E-3789"))>numeric("1.E-3800")) {
-        clog << "determinant of 80x80 erroneously returned " << det << endl;
-        return 1;
-    }
-    return 0;
+	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   /                   \
+            ----- | pow(factorial(r),3) |
+             | |  | ------------------- |
+             | |  |    factorial(r+n)   |
+            r = 0  \                   /
+	*/
+
+	ex hilbdet = 1;
+	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;
+
+	rolex.start();
+	// correct for very small times:
+	do {
+		result = test(80);
+		++count;
+	} while ((time=rolex.read())<0.1 && !result);
+	cout << '.' << flush;
+	cout << time/count << 's' << endl;
+
+	return result;
+}
+
+extern void randomify_symbol_serials();
+
+int main(int argc, char** argv)
 {
-    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 {
-        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;
+	randomify_symbol_serials();
+	cout << setprecision(2) << showpoint;
+	return time_lw_H();
 }