指数函数和对数函数的高精度快速算法  

A Quick Algorithms of High Precision on the Exponential and Logarithmic Functions

作　　者：徐洋 同娜 于长丰[2] 

机构地区：[1]西安博兴自动化科技有限公司,陕西西安710075 [2]西安工程大学理学院,陕西西安710048

出　　处：《榆林学院学报》2015年第2期26-31,共6页Journal of Yulin University

摘　　要：指数、对数函数的数值计算是一种最基本的算术操作,研究其快速算法,对于科学计算、数据处理,尤其是要求运算精度很高的实时控制系统,有着非常重要的意义.通过数值分析,考虑到精度要求较高,计算量和数表的存储空间这三个因素,结合计算和查表的方法给出了一些基本函数的快速算法.另外,还介绍了改进的高精度快速算法并演示了详细的计算过程.得出精度越高,内存越大,相应的操作速度却没有下降。Through numerical analysis and taking into account the calculating precision, computational amount and the memory space of numerical tables, some quick algorithms on the elementary functions, are given by the method of combining computation and table search. The numerical calculation on the exponential and the logarithmic functions is one of the most basic arithmetic operations. The study of fast algorithm on scientific computing, data processing, especially high computing precision of real -time control system, has very important significance. In addition, the quick algorithms of high precision are also obtained by using some improved computational methods in this paper. Furthermore, the detailed computational process on the algorithms is demonstrated. It indicates that the higher accuracy requirements, the greater the number of table accounts for the memory, however, the corresponding operating speed does not decline.

关 键 词：高精度 计算复杂性 存储空间 

分 类 号：O174[理学—数学]