]> www.ginac.de Git - ginac.git/blobdiff - check/time_gammaseries.cpp
[BUGFIX] Reclaiming the memory allocated for static objects *is* necessary.
[ginac.git] / check / time_gammaseries.cpp
index 3c1ef6856cb8f1af8e227e8120a5f687bc0beec5..e6ffa8736abe814ab4d963c37893c1326df7576b 100644 (file)
@@ -3,7 +3,7 @@
  *  Some timings on series expansion of the Gamma function around a pole. */
 
 /*
- *  GiNaC Copyright (C) 1999-2001 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
  *
  *  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;
 
 unsigned tgammaseries(unsigned order)
 {
        unsigned result = 0;
        symbol x;
-       
+
        ex myseries = series(tgamma(x),x==0,order);
        // compute the last coefficient numerically:
        ex last_coeff = myseries.coeff(x,order-1).evalf();
        // compute a bound for that coefficient using a variation of the leading
        // term in Stirling's formula:
-       ex bound = evalf(exp(ex(-.57721566490153286*(order-1)))/(order-1));
-       if (evalf(abs((last_coeff-pow(-1,order))/bound)) > numeric(1)) {
+       ex bound = exp(-.57721566490153286*(order-1))/(order-1);
+       if (abs((last_coeff-pow(-1,order))/bound) > 1) {
                clog << "The " << order-1
                     << "th order coefficient in the power series expansion of tgamma(0) was erroneously found to be "
                     << last_coeff << ", violating a simple estimate." << endl;
                ++result;
        }
-       
+
        return result;
 }
 
-unsigned time_gammaseries(void)
+unsigned time_gammaseries()
 {
        unsigned result = 0;
-       
+
        cout << "timing Laurent series expansion of Gamma function" << flush;
-       clog << "-------Laurent series expansion of Gamma function:" << endl;
-       
+
        vector<unsigned> sizes;
        vector<double> times;
        timer omega;
-       
-       sizes.push_back(10);
-       sizes.push_back(15);
+
        sizes.push_back(20);
        sizes.push_back(25);
-       
+       sizes.push_back(30);
+       sizes.push_back(35);
+
        for (vector<unsigned>::iterator i=sizes.begin(); i!=sizes.end(); ++i) {
                omega.start();
                result += tgammaseries(*i);
                times.push_back(omega.read());
                cout << '.' << flush;
        }
-       
-       if (!result) {
-               cout << " passed ";
-               clog << "(no output)" << endl;
-       } else {
-               cout << " failed ";
-       }
+
        // print the report:
        cout << endl << "       order: ";
        for (vector<unsigned>::iterator i=sizes.begin(); i!=sizes.end(); ++i)
-               cout << '\t' << (*i);
+               cout << '\t' << *i;
        cout << endl << "       time/s:";
        for (vector<double>::iterator i=times.begin(); i!=times.end(); ++i)
-               cout << '\t' << int(1000*(*i))*0.001;
+               cout << '\t' << *i;
        cout << endl;
        
        return result;
 }
+
+extern void randomify_symbol_serials();
+
+int main(int argc, char** argv)
+{
+       randomify_symbol_serials();
+       cout << setprecision(2) << showpoint;
+       return time_gammaseries();
+}