> 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 with a new target base due to a 
merge or a rebase. The incremental webrev excludes the unrelated changes 
brought in by the merge/rebase. The pull request contains 15 additional commits 
since the last revision:

 - Merge branch 'master' into patch-1
 - Update copyright date in RandomNext.java
 - Update copyright date in RandomGeneratorNext.java
 - Update copyright date in RandomGeneratorExponentialGaussian.java
 - Update copyright date in RandomSupport.java
 - Add parameter to enable/disable fixed PRNG seed
 - Rewrite Javadoc
 - Simplify Javadoc description
 - Weaken contract of computeWinsorizedNextExponential to save max/min calls
 - Revert "Bugfix: need a thread-local instance for throughput test"
   
   This reverts commit d903efe57225e916a5450ac31437123050e3377c.
 - ... and 5 more: https://git.openjdk.org/jdk/compare/daddeb12...cc7c425a

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

Changes:
  - all: https://git.openjdk.org/jdk/pull/8131/files
  - new: https://git.openjdk.org/jdk/pull/8131/files/b75139c9..cc7c425a

Webrevs:
 - full: https://webrevs.openjdk.org/?repo=jdk&pr=8131&range=16
 - incr: https://webrevs.openjdk.org/?repo=jdk&pr=8131&range=15-16

  Stats: 887558 lines in 10300 files changed: 477121 ins; 285236 del; 125201 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

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