X-Git-Url: https://ginac.de/ginac.git//ginac.git?a=blobdiff_plain;f=ginac%2Finifcns_zeta.cpp;h=d7e29c061a69f1ee01585b8159721c822dd041c5;hb=eb36a2fcd5f2c121a249f6d54bd18b2138bf6c3c;hp=a39d8e6aa1fd542c2e015a99e227c8ecb0f50ffb;hpb=c28015b35e3d6ac132a040032b28c79143a36d1f;p=ginac.git diff --git a/ginac/inifcns_zeta.cpp b/ginac/inifcns_zeta.cpp index a39d8e6a..d7e29c06 100644 --- a/ginac/inifcns_zeta.cpp +++ b/ginac/inifcns_zeta.cpp @@ -3,7 +3,7 @@ * Implementation of the Zeta-function and some related stuff. */ /* - * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2002 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 @@ -30,9 +30,7 @@ #include "symbol.h" #include "utils.h" -#ifndef NO_NAMESPACE_GINAC namespace GiNaC { -#endif // ndef NO_NAMESPACE_GINAC ////////// // Riemann's Zeta-function @@ -40,35 +38,40 @@ namespace GiNaC { static ex zeta1_evalf(const ex & x) { - BEGIN_TYPECHECK - TYPECHECK(x,numeric) - END_TYPECHECK(zeta(x)) - - return zeta(ex_to_numeric(x)); + if (is_exactly_a(x)) { + try { + return zeta(ex_to(x)); + } catch (const dunno &e) { } + } + + return zeta(x).hold(); } static ex zeta1_eval(const ex & x) { if (x.info(info_flags::numeric)) { - numeric y = ex_to_numeric(x); + const numeric &y = ex_to(x); // trap integer arguments: if (y.is_integer()) { if (y.is_zero()) - return -_ex1_2(); - if (x.is_equal(_ex1())) + return _ex_1_2; + if (y.is_equal(_num1)) throw(std::domain_error("zeta(1): infinity")); - if (x.info(info_flags::posint)) { - if (x.info(info_flags::odd)) + if (y.info(info_flags::posint)) { + if (y.info(info_flags::odd)) return zeta(x).hold(); else - return abs(bernoulli(y))*pow(Pi,x)*pow(_num2(),y-_num1())/factorial(y); + return abs(bernoulli(y))*pow(Pi,y)*pow(_num2,y-_num1)/factorial(y); } else { - if (x.info(info_flags::odd)) - return -bernoulli(_num1()-y)/(_num1()-y); + if (y.info(info_flags::odd)) + return -bernoulli(_num1-y)/(_num1-y); else - return _num0(); + return _ex0; } } + // zeta(float) + if (y.info(info_flags::numeric) && !y.info(info_flags::crational)) + return zeta1_evalf(x); } return zeta(x).hold(); } @@ -77,7 +80,7 @@ static ex zeta1_deriv(const ex & x, unsigned deriv_param) { GINAC_ASSERT(deriv_param==0); - return zeta(_ex1(), x); + return zeta(_ex1, x); } const unsigned function_index_zeta1 = @@ -85,6 +88,7 @@ const unsigned function_index_zeta1 = eval_func(zeta1_eval). evalf_func(zeta1_evalf). derivative_func(zeta1_deriv). + latex_name("\\zeta"). overloaded(2)); ////////// @@ -118,8 +122,7 @@ const unsigned function_index_zeta2 = function::register_new(function_options("zeta"). eval_func(zeta2_eval). derivative_func(zeta2_deriv). + latex_name("\\zeta"). overloaded(2)); -#ifndef NO_NAMESPACE_GINAC } // namespace GiNaC -#endif // ndef NO_NAMESPACE_GINAC