New version announcement for TaylUR, an arbitrary-order diagonal automatic differentiation package for Fortran 95

Abstract We present a new version of TaylUR, a Fortran 95 module to automatically compute the numerical values of a complex-valued function's derivatives with respect to several variables up to an arbitrary order in each variable, but excluding mixed derivatives. The new version fixes a potentially serious bug in the code for exponential-related functions that could corrupt the imaginary parts of derivatives, as well as being compatible with a wider range of compilers. Title of program: TaylUR Catalogue Id: ADXR_v2_0 Nature of problem Problems that require potentially high orders of derivatives with respect to some variables or derivatives of complex-valued functions, such as e.g. expansions of Feynman diagrams in particle masses in perturbative Quantum Field Theory. Versions of this program held in the CPC repository in Mendeley Data ADXR_v1_0; TaylUR; 10.1016/j.cpc.2005.12.016 ADXR_v2_0; TaylUR; 10.1016/j.cpc.2007.03.008 ADXR_v3_0; TaylUR; 10.1016/j.cpc.2009.10.025 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

摘要 我们推出了TaylUR的新版本，这是一款Fortran 95模块，可自动计算复值函数（complex-valued function）关于多个变量的任意阶导数的数值结果，但不包含混合导数。新版本修复了原代码中与指数相关函数的一处潜在严重漏洞，该漏洞可能破坏导数的虚部，同时兼容更多编译器。
程序标题：TaylUR
目录编号：ADXR_v2_0
问题性质：需针对部分变量求取高阶导数，或需计算复值函数导数的各类问题，例如微扰量子场论（perturbative Quantum Field Theory）中费曼图（Feynman diagrams）按粒子质量展开的相关计算。
Mendeley数据中的CPC程序库收录的本程序版本：
ADXR_v1_0; TaylUR; 10.1016/j.cpc.2005.12.016
ADXR_v2_0; TaylUR; 10.1016/j.cpc.2007.03.008
ADXR_v3_0; TaylUR; 10.1016/j.cpc.2009.10.025
本程序源自贝尔法斯特女王大学托管的CPC程序库（1969-2018）