Finding the best sine function for Nintendo 64

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  • The video is very well produced and engaging, however (from skimming it), it seems that all the implementation methods it presents are suboptimal.

    The N64 CPU had an FPU, so it seems obvious that the best method, from both a speed and accuracy (or whichever is deemed more important) standpoint is the same method that's used in all the libms in libcs like Glibc, musl or LLVM-libc, or in the standard libraries of languages like Go or Java: approximation using a polynomial. This polynomial is not derived analytically, rather it's found using an iterative algorithm, traditionally using the Remez algorithm, but also see my WIP project here: https://gitlab.com/nsajko/FindMinimaxPolynomial.jl.

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