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So in the implementation of cos_table_*_LERP , you did technically 2 step range reduction: 1. Reduce x = x mod 2*pi 2. Reduce index = floor(x / 10^-n) , and i - index = 10^n * (x m…

So in the implementation of `cos_table_ _LERP`, you did technically 2 step range reduction: 1. Reduce x = x mod 2 pi 2. Reduce index = 10^n * (x / 10^-n), and i - index = 10^n * (x…

Your intuition is actually proved mathematically for two-player games of perfect information (even for infinite games), in which chess is included, by Wolfgang Schmidt (Theorem 7 i…

There are recent efforts to provide a correctly rounded and performant C23 libm, such as https://core-math.gitlabpages.inria.fr/ Maybe correct rounding (and hence consistency) will…

The latest revision IEEE 754-2019 do require correctly rounded for transcendental functions: https://en.wikipedia.org/wiki/IEEE_754#Recommended_operation...

I don't know much about numpy.signal package, but there are other python packages that have good implementation for generating polynomial approximation. Among them are pythonsollya…

I think the function inputs are in double-double format, so the assumption is that the magnitude of y is significantly smaller than the magnitude of x, ideally |y| So using the cos…

Some of the more recent implementations of cosine for single precision that are correctly rounded to all rounding modes according to IEEE 754 standard: - The CORE-MATH project: htt…