X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?a=blobdiff_plain;f=check%2Ftime_gammaseries.cpp;h=3715f836bb334544ca9608e11ce8460e22f51acf;hb=b09fd05485cbadf6ca63991cd4b8aa3f70f12e78;hp=3c1ef6856cb8f1af8e227e8120a5f687bc0beec5;hpb=383d5eb3b0f0506810d9105a268f939125bfc347;p=ginac.git diff --git a/check/time_gammaseries.cpp b/check/time_gammaseries.cpp index 3c1ef685..3715f836 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) 1999-2005 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 @@ -17,7 +17,7 @@ * * 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" @@ -26,46 +26,46 @@ 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 sizes; vector 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::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; @@ -75,10 +75,10 @@ unsigned time_gammaseries(void) // 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;