The IEEE floating point format used by most modern computers supports
values that are "not a number". These values are called **NaNs**.
"Not a number" values result from certain operations which have no
meaningful numeric result, such as zero divided by zero or infinity
divided by infinity.

One noteworthy property of NaNs is that they are not equal to
themselves. Thus, `x == x`

can be 0 if the value of `x`

is a
NaN. You can use this to test whether a value is a NaN or not: if it is
not equal to itself, then it is a NaN. But the recommended way to test
for a NaN is with the `isnan`

function (see section Predicates on Floats).

Almost any arithmetic operation in which one argument is a NaN returns a NaN.

__Macro:__double**NAN**-
An expression representing a value which is "not a number". This
macro is a GNU extension, available only on machines that support "not
a number" values--that is to say, on all machines that support IEEE
floating point.
You can use

``#ifdef NAN'`to test whether the machine supports NaNs. (Of course, you must arrange for GNU extensions to be visible, such as by defining`_GNU_SOURCE`

, and then you must include``math.h'`.)

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