### 20.4 Floating-Point Number Classification Functions

ISO C99 defines macros that let you determine what sort of floating-point number a variable holds.

— Macro: int fpclassify (float-type x)

> This is a generic macro which works on all floating-point types and which returns a value of type `int`. The possible values are:

> `FP_NAN`
>   The floating-point number x is “Not a Number” (see Infinity and NaN)
> `FP_INFINITE`
>   The value of x is either plus or minus infinity (see Infinity and NaN)
> `FP_ZERO`
>   The value of x is zero. In floating-point formats like IEEE 754, where zero can be signed, this value is also returned if x is negative zero.
> `FP_SUBNORMAL`
>   Numbers whose absolute value is too small to be represented in the normal format are represented in an alternate, denormalized format (see Floating Point Concepts). This format is less precise but can represent values closer to zero. `fpclassify` returns this value for values of x in this alternate format.
> `FP_NORMAL`
>   This value is returned for all other values of x. It indicates that there is nothing special about the number.

`fpclassify` is most useful if more than one property of a number must be tested. There are more specific macros which only test one property at a time. Generally these macros execute faster than `fpclassify`, since there is special hardware support for them. You should therefore use the specific macros whenever possible.

— Macro: int isfinite (float-type x)

> This macro returns a nonzero value if x is finite: not plus or minus infinity, and not NaN. It is equivalent to

>               (fpclassify (x) != FP_NAN && fpclassify (x) != FP_INFINITE)

> `isfinite` is implemented as a macro which accepts any floating-point type.

— Macro: int isnormal (float-type x)

> This macro returns a nonzero value if x is finite and normalized. It is equivalent to

>               (fpclassify (x) == FP_NORMAL)

— Macro: int isnan (float-type x)

> This macro returns a nonzero value if x is NaN. It is equivalent to

>               (fpclassify (x) == FP_NAN)

— Macro: int issignaling (float-type x)

> This macro returns a nonzero value if x is a signaling NaN (sNaN). It is based on draft TS 18661 and currently enabled as a GNU extension.

Another set of floating-point classification functions was provided by BSD. The GNU C Library also supports these functions; however, we recommend that you use the ISO C99 macros in new code. Those are standard and will be available more widely. Also, since they are macros, you do not have to worry about the type of their argument.

— Function: int isinf (double x)

> — Function: int isinff (float x)

> > — Function: int isinfl (long double x)

> > > This function returns `-1` if x represents negative infinity, `1` if x represents positive infinity, and `0` otherwise.

— Function: int isnan (double x)

> — Function: int isnanf (float x)

> > — Function: int isnanl (long double x)

> > > This function returns a nonzero value if x is a “not a number” value, and zero otherwise.

> > > NB: The `isnan` macro defined by ISO C99 overrides the BSD function. This is normally not a problem, because the two routines behave identically. However, if you really need to get the BSD function for some reason, you can write

> > >               (isnan) (x)

— Function: int finite (double x)

> — Function: int finitef (float x)

> > — Function: int finitel (long double x)

> > > This function returns a nonzero value if x is finite or a “not a number” value, and zero otherwise.

Portability Note: The functions listed in this section are BSD extensions.