I am trying to understand what happens when I subtract a Float32 from a Float64 where the numbers are “very small”. I understand what happens when both are Float64 julia> 1.401298464324817e-45 - 1.0e-45 4.012984643248171e-46 but if the second number is Float32 I get zero julia> 1.401298464324817…

[image] DNF: What happened? Actually 1.0f-45 is not 1.00000000000f-45 but rather julia> big(1.0f-45) 1.401298464324817070923729583289916131280261941876515771757068283889791082685861e-45 In particular, 1.0f-45 is internally rounded to a “subnormal” Float32 value that effectively has only a si…

Subtract Float32 number from Float64 number - what's the rule?

New to Julia

Sukera August 29, 2023, 10:58am 3

See also

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Quick probably basic question on Floats General Usage question , float	5	834	August 2, 2020
Why isn't Float32 == Float64 (Converting from Float32 to Float64) General Usage question	5	640	July 2, 2020
Converting Float32 values back to Float64 without introducing nonzero digits at the end? General Usage	2	317	May 3, 2024
Incorrect summation of Float64 General Usage	8	781	January 23, 2023
PSA: floating-point arithmetic Offtopic	14	7446	July 8, 2021

Subtract Float32 number from Float64 number - what's the rule?

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