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It looks like we could provide 3 bytes of niching for 32-bit floats, and a little over 6.5 bytes for 64-bit floats. Do you have an example of the kinds of values you'd want to niche?
I assume you want to store some extra data in the non-exponent bits when the exponent is all ones, right? It doesn't really matter what data you want to store, but I'm interested in the use case.
Being able to take advantage of float niches when you know the floats are non-NaN and/or non-Inf would be really useful
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