https://gcc.gnu.org/bugzilla/show_bug.cgi?id=67570

--- Comment #3 from joseph at codesourcery dot com <joseph at codesourcery dot 
com> ---
I advise looking at __FLT_MAX__, __FLT_MIN__, __FLT_DENORM_MIN__ etc. as 
predefined by the compiler to see the appropriate values of various 
constants.

> Multiplying (float)MIN_NORMALIZED * (float)MIN_NORMALIZED and 
> viewing this value with printf("%E..) we obtains 
> result = 3.109021E-076 wuich is a valid double normalized value.

That's a matter of excess range and precision.  See the C99/C11 standards 
and bug 323.

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