They teach a lot of Taylor/Maclaurin series in Math classes (and trig functions are sometimes called "CORDIC" which is an old method too) but these are not used much in actual FPUs and libraries. Maybe we should update the curricula so people know better ways.
replyTaylor series makes a lot more sense in a math class, right? It is straightforward and (just for example), when you are thinking about whether or not a series converges in the limit, why care about the quality of the approximation after a set number of steps?
replyNot sure I would call Remez "simple"... it's all relative; I prefer Chebyshev approximation which is simpler than Remez.
replyPerhaps, but at least I find it very simple for the optimality properties it gives: there is no inherent need to say, "I know that better parameters likely exist, but the algorithm to find them would be hopelessly expensive," as is the case in many forms of minimax optimization.
replyIdeally either one is just a library call to generate the coefficients. Remez can get into trouble near the endpoints of the interval for asin and require a little bit of manual intervention, however.
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