Md. Ercegovac et al., Reciprocation, square root, inverse square root, and some elementary functions using small multipliers, IEEE COMPUT, 49(7), 2000, pp. 628-637
This paper deals with the computation of reciprocals, square roots, inverse
square roots, and some elementary functions using small tables, small mult
ipliers, and, for some functions, a final "large" (almost full-length) mult
iplication. We propose a method, based on argument reduction and series exp
ansion, that allows fast evaluation of these functions in high precision. T
he strength of this method is that the same scheme allows the computation o
f all these functions. We estimate the delay, the size/number of tables, an
d the size/number of multipliers and compare with other related methods.