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Showing content from https://cplusplus.com/reference/cmath/NAN/ below:

constant

<cmath> <ctgmath>

NAN 
float

Not-A-Number

Macro constant that expands to an expression of type float that represents a NaN if the implementation supports quiet NaNs (otherwise, it is not defined).

See also
nan
Generate quiet NaN (function)
nanf
Generate quiet NaN (float) (function)
isnan
Is Not-A-Number (macro/function)

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