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Just stumbled across this one here
julia> a = Double64(floatmin(Float64))
2.2250738585072014e-308
julia> b = Double64(0.0,floatmin(Float64))
2.22507385850720138309023271733240406e-308
julia> Float64(a)
2.2250738585072014e-308
julia> Float64(b)
0.0
a,b
are technically the same number but one has floatmin in hi
one in low
, the conversion to Float64
disregards the lo
, which for all other Double64s makes sense because as far as I understand eps(hi) > 2lo
so truncation to hi
is round to nearest in those cases. With b
☝🏼 however I created a Double64 for which eps(hi) > 2lo
and so it doesn't round correctly. Is there a function that recalculates hi, lo
given a Double64 so that this eps-requirement holds again?
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