New efficient programs to calculate general recoupling coefficients. Part II: Evaluation of a summation formula

Abstract In Comput. Phys. Commun. 83 (1994) 275, we described a program NJFORMULA to generate a summation formula in terms of 6-j coefficients for a general angular momentum recoupling coefficient. Here we present programs for the second part of the problem, i.e. the numerical computation of a general recoupling coefficient by evaluating the formula generated by the program NJFORMULA. We describe a sequential version NJSUMMATION, written in C, which runs on a range of computers, as well as a parallel ... Title of program: NJSUMMATION, NJSUMPAR Catalogue Id: ADBA_v1_0 Nature of problem A general recoupling coefficient for an arbitrary number of (integer or half-integer) angular momenta can be expressed as a formula consisting of products of 6-j coefficients summed over a certain number of variables. Such a formula can be generated using the program NJFORMULA [1]. The present programs perform the evaluation of a generated formula for given data of angular momenta. Versions of this program held in the CPC repository in Mendeley Data ADBA_v1_0; NJSUMMATION, NJSUMPAR; 10.1016/0010-4655(94)00179-6 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)摘要 在《计算机物理通讯（Computer Physics Communications）》83卷（1994年）第275页中，我们曾介绍过程序NJFORMULA，其功能是针对通用角动量重耦合系数，生成以6-j符号（6-j coefficients）为基础的求和公式。本文则给出该问题第二部分的相关程序：即通过对NJFORMULA生成的公式进行数值求值，实现通用角动量重耦合系数的数值计算。我们将介绍用C语言编写的串行版本程序NJSUMMATION，它可在多种计算机平台上运行，同时还将提及并行版本…… 程序名称：NJSUMMATION、NJSUMPAR 目录编号：ADBA_v1_0 问题本质 任意数目（整数或半整数）角动量对应的通用重耦合系数，可表示为以若干变量求和、且各项为6-j符号乘积的公式。此类公式可通过程序NJFORMULA[1]生成。本系列程序的功能为：针对给定的角动量参数，对已生成的公式进行数值求值。 存放在Mendeley数据平台CPC资源库中的该程序版本为：ADBA_v1_0；NJSUMMATION、NJSUMPAR；10.1016/0010-4655(94)00179-6 本程序源自贝尔法斯特女王大学托管的CPC程序库（1969-2019年）