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When deciding on the local rscale to use for the Taylor series expansion, ln_var() neglected to account for the fact that the result is subsequently multiplied by a factor of 2^(nsqrt+1), where nsqrt is the number of square root operations performed in the range reduction step, which can be as high as 22 for very large inputs. This could result in a loss of precision, particularly when combined with large rscale values, for which a large number of Taylor series terms is required (up to around 400). Fix by computing a few extra digits in the Taylor series, based on the weight of the multiplicative factor log10(2^(nsqrt+1)). It remains to be proven whether or not the other 8 extra digits used for the Taylor series is appropriate, but this at least deals with the obvious oversight of failing to account for the effects of the final multiplication. Per report from Justin AnyhowStep. Reviewed by Tom Lane. Discussion: https://postgr.es/m/16280-279f299d9c06e56f@postgresql.org |
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