I’m looking for an algorithm to calculate ln(1-x). x is often small (<0.01), but occasionally it might be larger. Algorithm needs to be accurate, and not too slow. I’d rather not use library for ln(x), because I might lose accuracy.
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I’m looking for an algorithm to calculate ln(1-x). x is often small (<0.01), but occasionally it might be larger. Algorithm needs to be accurate, and not too slow. I’d rather not use library for ln(x), because I might lose accuracy.
Depending on the accuracy you want,
-xis a good approximation to smallln(1-x). From here.Edit: If the reason for needing the algorithm is getting the best accuracy, then there are many libraries that are specialised for
log(1+x). For example, in Python use log1p. Ditto in C and C++.