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本文介绍一种简单的座标转换方法,这种方法的思想早在1959年就由Volder,J.E.提出来了,它的特点是避免乘除运算,只要选定一些常数,原则上通过加减,移位,就可以求一些初等函数的值。这样的算法对于微型计算机来说,无疑是很有吸引力的,本文在介绍了这种方法的原理之后,进一步证明了算法的收敛性,导出了精度及相应的迭代次数的估计公式,并给出了用Intel8086编制的有关程序及相应的计算结果。
This paper presents a simple method of coordinate transformation. The idea of this method was proposed by Volder and JE as early as 1959. It features avoidance of multiplication and division, as long as some constants are selected, in principle, by adding, subtracting, Bit, you can find some elementary function value. This kind of algorithm is undoubtedly very attractive for microcomputers. After introducing the principle of this method, this paper further proves the convergence of the algorithm and derives the estimation formula of the accuracy and the corresponding number of iterations, and gives Out with Intel8086 prepared by the relevant procedures and the corresponding calculation.