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Comments on Uniform floating point from unsigned integer

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Uniform floating point from unsigned integer

+4
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How can I turn uniform samples of unsigned n-bit (n=16/32/64) integers (over the whole range of integers) into uniform samples of n-bit IEEE floats in [0, 1]? By uniform, I mean the continuous uniform distribution. All bounds are inclusive.

It needs to be accurate enough for stats/ML.

I'm using the StableHLO API, but an answer in e.g. C with equivalent maths and bit ops would be trivial to translate. Note this API can bitcast naively to float (i.e. reinterpret bits as they are as a float), and cast to float using the (approx) numerical value.

NB. I assume I can scale [0, 1] to [a, b] as samples * (a - b) + b since that's what XLA does (though I will have to be careful about overflow).

History

4 comment threads

Undeleted because of timing: an answer was being added as the question was being deleted. (1 comment)
Definition of "uniform" (12 comments)
Uniform over what ranges, exactly? (4 comments)
The most naive "bitcast" (7 comments)
Undeleted because of timing: an answer was being added as the question was being deleted.
Monica Cellio‭ wrote 16 days ago

Undeleted because of timing: an answer was being added as the question was being deleted.