基于连分式逼近的精度测试方法

Precision test method based on continued-fraction approximation

针对现有精度测试方法适应性低、收敛速度慢的问题,提出了一种基于连分式逼近的初等函数精度测试方法。通过对最后一位表示的单位(ULP)的误差的分析以及对几种计算函数真值方法的对比,给出了精度测试方法的主要算法实现,并从时间复杂度及收敛阶两个方面进行了理论分析及实验验证。结果表明,该方法在精度测试方面更有效,复杂度更低,收敛速度更快。

Poor adaptability and slow convergence rate are the two main disadvantages of the existing precision test methods.To solve this problem,an elementary functions precision test method based on continued-fraction approximation was proposed by analyzing Unit in the Last Place（ULP） error and comparing several different functions true values calculations.The different calculations were analyzed and tested in the following two ways： time complexity and convergence degree.The experimental results show that the precision test method based on continued-fraction approximation is more effective,less complex and achieves faster convergence.