标题： 实变量误差函数的全局逼近用于矢量化计算 显示英文标题

标题： Global approximations to the error function of real argument for vectorized computation

摘要： 实变量的误差函数可以通过单一的闭合表达式在整个变量范围内以指定的精度进行一致逼近，逼近方式可以仅使用加法、乘法、除法和平方根运算，也可以结合指数函数。系数已经针对高达128位精度进行了列表化。使用标准单精度和双精度浮点运算的计算机代码实现测试显示了良好的性能和可向量化性。 显示英文摘要

摘要： The error function of real argument can be uniformly approximated to a given accuracy by a single closed-form expression for the whole variable range either in terms of addition, multiplication, division, and square root operations only, or also using the exponential function. The coefficients have been tabulated for up to 128-bit precision. Tests of a computer code implementation using the standard single- and double-precision floating-point arithmetic show good performance and vectorizability.