X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=check%2Ftime_gammaseries.cpp;h=96eb85faa2f39aef789c0364db8ad70a0361c3c9;hp=59a08a9faeefd23b5a3ad5eaca6de62148f998df;hb=3d757d6bfa78c9812337e8c5d849fbd2ab75f861;hpb=af922d5eb36ed70e4a9e3ffaf4c24492cf89a1a6 diff --git a/check/time_gammaseries.cpp b/check/time_gammaseries.cpp index 59a08a9f..96eb85fa 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) 1999-2000 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2003 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 @@ -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; + << "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 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); - + 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;