X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=check%2Ftime_gammaseries.cpp;h=f024c08a60e5a4ae81cc66c5f634537d6ebab468;hp=3c1ef6856cb8f1af8e227e8120a5f687bc0beec5;hb=8cffcdf13d817a47f217f1a1043317d95969e070;hpb=383d5eb3b0f0506810d9105a268f939125bfc347 diff --git a/check/time_gammaseries.cpp b/check/time_gammaseries.cpp index 3c1ef685..f024c08a 100644 --- a/check/time_gammaseries.cpp +++ b/check/time_gammaseries.cpp @@ -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) 1999-2019 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 @@ -17,69 +17,72 @@ * * 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 "ginac.h" +#include "timer.h" +using namespace GiNaC; + +#include +#include +using namespace std; unsigned tgammaseries(unsigned order) { unsigned result = 0; symbol x; - - ex myseries = series(tgamma(x),x==0,order); + + ex myseries = series(GiNaC::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,ex(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 sizes; + + vector sizes = {20, 25, 30, 35}; vector times; timer omega; - - sizes.push_back(10); - sizes.push_back(15); - sizes.push_back(20); - sizes.push_back(25); - + for (vector::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::iterator i=sizes.begin(); i!=sizes.end(); ++i) - cout << '\t' << (*i); + cout << '\t' << *i; cout << endl << " time/s:"; for (vector::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(); +}