> 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.

Chris Hennick has updated the pull request incrementally with two additional 
commits since the last revision:

 - Merge remote-tracking branch 'origin/patch-1' into patch-1
 - Optimize: move some code out of the fast path

-------------

Changes:
  - all: https://git.openjdk.org/jdk/pull/8131/files
  - new: https://git.openjdk.org/jdk/pull/8131/files/2470c00a..e4714ec9

Webrevs:
 - full: https://webrevs.openjdk.org/?repo=jdk&pr=8131&range=19
 - incr: https://webrevs.openjdk.org/?repo=jdk&pr=8131&range=18-19

  Stats: 20 lines in 1 file changed: 10 ins; 10 del; 0 mod
  Patch: https://git.openjdk.org/jdk/pull/8131.diff
  Fetch: git fetch https://git.openjdk.org/jdk.git pull/8131/head:pull/8131

PR: https://git.openjdk.org/jdk/pull/8131

Reply via email to