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，可针对多变量复值函数自动计算各变量任意阶的导数值，但不包含混合偏导数。该新版本修复了原代码中与指数相关函数的一处严重潜在漏洞——该漏洞曾可能破坏导数的虚部，同时还兼容更多类型的编译器。 程序名称：TaylUR；目录编号：ADXR_v2_0 问题类型：涉及需对部分变量求取高阶导数，或需处理复值函数导数的各类问题，例如微扰量子场论中费曼图按粒子质量展开的相关计算。 本程序在Mendeley Data的CPC程序库中存有以下版本： 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馆藏的CPC程序库（1969-2018年）