VOIGTL — a fast subroutine for Voigt function evaluation on vector processors

Abstract
Voigt function evaluations account for a significant proportion of computer time used in calculating synthetic stellar spectra, particularly if local thermodynamic equilibrium is assumed. A vectorised Voigt function evaluation routine is presented which, in typical applications, achieves a speed of 180 Mflops on a CRAY-XMP and is accurate to 13 decimal digits. A derived formula gives an order of magnitude estimate of the Voigt function absolute accuracy required for synthetic spectrum calcula...

Title of program: VOIGTL
Catalogue Id: ACLT_v1_0

Nature of problem
Stellar line absorption coefficients are, in most cases, Voigt profiles which are convolutions of Doppler and Lorentz profiles. Voigt function evaluation is required repeatedly in synthetic stellar spectrum calculations and, in the case of local thermodynamic equilibrium being assumed, is dominant in determining computer time required.

Versions of this program held in the CPC repository in Mendeley Data
ACLT_v1_0; VOIGTL; 10.1016/0010-4655(93)90171-8

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

摘要
在合成恒星光谱的计算中，Voigt函数的评估占据了计算机时间的显著比例，尤其是在假设局部热力学平衡的情况下。本文提出了一种向量化的Voigt函数评估程序，在典型应用中，该程序在CRAY-XMP上的速度可达180 Mflops，且精度达到13位十进制数。通过导出的公式，给出了合成光谱计算所需Voigt函数绝对精度量级估计。
程序标题：VOIGTL
目录编号：ACLT_v1_0
问题性质
在大多数情况下，恒星线吸收系数是Voigt轮廓，它是多普勒和洛伦兹轮廓的卷积。在合成恒星光谱的计算中，需要反复进行Voigt函数的评估，而在假设局部热力学平衡的情况下，Voigt函数的评估在确定所需计算机时间方面占主导地位。
Mendeley数据中CPC存储库中保存的此程序的版本
ACLT_v1_0; VOIGTL; 10.1016/0010-4655(93)90171-8
此程序已从贝尔法斯特女王大学（1969-2019年）持有的CPC程序库中导入。