On Wed, 6 Apr 2022 17:47:53 GMT, Chris Hennick <d...@openjdk.org> wrote:

> This PR improves both the worst-case performance of `nextExponential` and 
> `nextGaussian` and the distribution of output at the tails. It fixes the 
> following imperfections:
> 
> * Repeatedly adding DoubleZigguratTables.exponentialX0 to extra causes a 
> rounding error to accumulate at the tail of the distribution (probably 
> starting around `2*exponentialX0 == 0x1.e46eff20739afp3 ~ 15.1`); this PR 
> fixes that by tracking the multiple of exponentialX0 as a long. (This 
> distortion is worst when `x > 0x1.0p56` since in that case, a rounding error 
> means `extra + x == extra`.
> * Reduces several equations using `Math.fma`. (This will almost certainly 
> improve performance, and may or may not improve output distribution.)
> * Uses the newly-extracted `computeWinsorizedNextExponential` function to 
> prevent `nextGaussian` from going into the `nextExponential` tail twice.

@robilad, can you please verify Chris Hennick's (@Pr0methean) OCA status?
He's an Amazon employee and covered by Amazons OCA.

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PR Comment: https://git.openjdk.org/jdk/pull/8131#issuecomment-1099080229

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