Desirable floating-point arithmetic and elementary functions for numerical computation

T. E. Hull
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引用次数: 9

Abstract

The purpose of this paper is to summarize proposed specifications for floating-point arithmetic and elementary functions. The topics considered are: the base of the number system, precision control, number representation, arithmetic operations, mother basic operations, elementary functions, and exception handling. The possibility of doing without fixed-point arithmetic is also discussed. The specifications are intended to be entirely at the level of a programming language such as Fortran. The emphasis is on convenience and simplicity from the user's point of view. The specifications are not complete in every detail, but it is intended that they be complete "in spirit" — some further details, especially syntatic details, would have to be provided, but the proposals are otherwise relatively complete.
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数值计算所需的浮点运算和初等函数
本文的目的是总结浮点运算和初等函数的规范。所考虑的主题是:数字系统的基础、精度控制、数字表示、算术运算、基本运算、基本函数和异常处理。讨论了不做不动点运算的可能性。这些规范旨在完全处于编程语言(如Fortran)的级别。从用户的角度来看,重点是方便和简单。规范并非在每个细节上都是完整的,但它的目的是使它们在“精神上”是完整的——必须提供一些进一步的细节,特别是语法细节,但建议在其他方面相对完整。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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Desirable floating-point arithmetic and elementary functions for numerical computation Multivariable polynomial processing — Applications to interpolation A realistic model for error estimates in the evaluation of elementary functions Merged arithmetic for signal processing An on-line square rooting algorithm
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