RFR: 8284493: Fix rounding error in computeNextExponential

Tue May 10 14:30:30 UTC 2022

On Wed, 6 Apr 2022 17:47:53 GMT, Chris Hennick <duke at openjdk.java.net> wrote:

> 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); this fixes that by tracking the multiple of exponentialX0 as a long. (This changes the maximum possible output to `1.0p63 * DoubleZigguratTables.exponentialX0 == 0x1.e46eff20739afp65`; previously it would have been `0x1.0p56` because once `extra` reaches that amount, `x + extra == extra` due to the rounding error. This lowers the probability of reaching the maximum with an ideal PRNG from about `1.3877787807814488E-17` to about `1.4323726067488646E-20` (calculated using the identity `ln(x) == Math.log10(x)/Math.log10(Math.exp(1))`).

hi, @JesperIRL, 
Could you help us on OCA coverage?

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PR: https://git.openjdk.java.net/jdk/pull/8131