New algorithms for improved transcendental functions on IA-64
New algorithms for improved transcendental functions on IA-64
复制标题
用于改进 IA-64 上超越函数的新算法
DOI：
10.1109/arith.1999.762822
复制
发表时间：
1999
期刊：
影响因子：
--
通讯作者：
P. T. P. Tang
中科院分区：
文献类型：
--
作者：
S. Story;P. T. P. Tang
IA-64体系结构为实现一组改进的先验函数提供了新的机遇和挑战。使用几种新的多项式为基础的表驱动技术，我们能够提供新的算法的超越函数。主要的改进包括大约0.6 ulps（单位在最后一个位置）的精度水平和具有2/spl pi/周期的前向三角函数。精度的提高是以更快的速度实现的，而不会增加表的大小。在本文中，我们强调了影响我们设计的关键IA-64体系结构特征，并解释了我们新算法中使用的主要思想。
The IA-64 architecture provides new opportunities and challenges for implementing an improved set of transcendental functions. Using several novel polynomial-based table-driven techniques, we are able to provide new algorithms for the transcendental functions. Major improvements include an accuracy level of about 0.6 ulps (units in the last place) and forward trigonometric functions that have a period of 2/spl pi/. The accuracy enhancements are achieved at improved speed, yet without an increase in the table size. In this paper, we highlight the key IA-64 architectural features that influenced our designs, and explain the main ideas used in our new algorithms.