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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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9 changed files with 24 additions and 24 deletions
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@ -250,7 +250,7 @@ class FastBernoulliTrial {
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* - The gaps below 1 are 2**-53, so that interval is (0, 1-2**-53].
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*
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* - Because the floating-point gaps near 1 are wider than those near
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* zero, there are many small positive doubles ?? such that 1-?? rounds to
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* zero, there are many small positive doubles ε such that 1-ε rounds to
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* exactly 1. However, 2**-53 can be represented exactly. So
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* 1-mProbability is in [2**-53, 1].
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*
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@ -263,9 +263,9 @@ class FastBernoulliTrial {
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*
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* - How much of the range of mProbability does this cause us to ignore?
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* The only value for which log returns 0 is exactly 1; the slope of log
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* at 1 is 1, so for small ?? such that 1 - ?? != 1, log(1 - ??) is -??,
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* at 1 is 1, so for small ε such that 1 - ε != 1, log(1 - ε) is -ε,
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* never 0. The gaps near one are larger than the gaps near zero, so if
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* 1 - ?? wasn't 1, then -?? is representable. So if log(1 - mProbability)
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* 1 - ε wasn't 1, then -ε is representable. So if log(1 - mProbability)
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* isn't 0, then 1 - mProbability isn't 1, which means that mProbability
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* is at least 2**-53, as discussed earlier. This is a sampling
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* likelihood of roughly one in ten trillion, which is unlikely to be
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