X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=check%2Ftime_gammaseries.cpp;h=afb78395163f4efab5bd8f8288e2ea746dc2eaca;hp=3c1ef6856cb8f1af8e227e8120a5f687bc0beec5;hb=c77b5c8466b3d0a007146b435c4635ccf3fbf373;hpb=383d5eb3b0f0506810d9105a268f939125bfc347 diff --git a/check/time_gammaseries.cpp b/check/time_gammaseries.cpp index 3c1ef685..afb78395 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) 1999-2003 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; ++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); - + 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;