Issue #1656 - Part 2: Unmangle some unfortunate UTF-8 victims.

The poor fellows got lost in an ASCII-interpretation of the world.
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Moonchild 2020-09-23 14:52:16 +00:00 • committed by roytam1
commit ed7e49eda6
9 changed files with 24 additions and 24 deletions

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@ -250,7 +250,7 @@ class FastBernoulliTrial {
* - The gaps below 1 are 2**-53, so that interval is (0, 1-2**-53].
*
* - Because the floating-point gaps near 1 are wider than those near
* zero, there are many small positive doubles ?? such that 1-?? rounds to
* zero, there are many small positive doubles ε such that 1-ε rounds to
* exactly 1. However, 2**-53 can be represented exactly. So
* 1-mProbability is in [2**-53, 1].
*
@ -263,9 +263,9 @@ class FastBernoulliTrial {
*
* - How much of the range of mProbability does this cause us to ignore?
* The only value for which log returns 0 is exactly 1; the slope of log
* at 1 is 1, so for small ?? such that 1 - ?? != 1, log(1 - ??) is -??,
* at 1 is 1, so for small ε such that 1 - ε != 1, log(1 - ε) is -ε,
* never 0. The gaps near one are larger than the gaps near zero, so if
* 1 - ?? wasn't 1, then -?? is representable. So if log(1 - mProbability)
* 1 - ε wasn't 1, then -ε is representable. So if log(1 - mProbability)
* isn't 0, then 1 - mProbability isn't 1, which means that mProbability
* is at least 2**-53, as discussed earlier. This is a sampling
* likelihood of roughly one in ten trillion, which is unlikely to be