NAME
ilogb ilogbf
ilogbl — return an unbiased
exponent
SYNOPSIS
#include
<math.h>
int ilogb(double x); int ilogbf(float x); int ilogbl(long double x);
DESCRIPTION
[CX] The functionality described on this reference page is aligned with the ISO C standard. Any conflict between the requirements described here and the ISO C standard is unintentional. This volume of POSIX.1-2017 defers to the ISO C standard.
These functions shall return the exponent part of their argument x. Formally, the return value is the integral part of logr|x| as a signed integral value, for non-zero x, where r is the radix of the machine's floating-point arithmetic, which is the value of FLT_RADIX defined in <float.h>.
An application wishing to check for error situations should set errno to zero and call feclearexcept (FE_ALL_EXCEPT) before calling these functions. On return, if errno is non-zero or fetestexcept (FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW) is non-zero, an error has occurred.
RETURN VALUE
Upon successful completion, these functions shall return the exponent part of x as a signed integer value. They are equivalent to calling the corresponding logb(3) function and casting the returned value to type int.
If x is 0, the value FP_ILOGB0 shall be returned. [XSI] On XSI-conformant systems, a domain error shall occur; otherwise, a [CX] domain error may occur.
If x is ±Inf, the value {INT_MAX} shall be returned. [XSI] On XSI-conformant systems, a domain error shall occur; otherwise, a [CX] domain error may occur.
If x is a NaN, the value FP_ILOGBNAN shall be returned. [XSI] On XSI-conformant systems, a domain error shall occur; otherwise, a [CX] domain error may occur.
If the correct value is greater than {INT_MAX}, [MX] a domain error shall occur and an unspecified value shall be returned. [XSI] On XSI-conformant systems, a domain error shall occur and {INT_MAX} shall be returned.
If the correct value is less than {INT_MIN}, [MX] a domain error shall occur and an unspecified value shall be returned. [XSI] On XSI-conformant systems, a domain error shall occur and {INT_MIN} shall be returned.
ERRORS
These functions shall fail if:
- Domain Error
- [XSI|MX] The correct value is not representable as an integer.
[XSI] The x argument is zero, NaN, or ±Inf.
[XSI|MX] If the integer expression ( math_errhandling & MATH_ERRNO) is non-zero, then errno shall be set to [EDOM]. If the integer expression ( math_errhandling & MATH_ERREXCEPT) is non-zero, then the invalid floating-point exception shall be raised.
These functions may fail if:
- Domain Error
- The x argument is zero, NaN, or ±Inf.
If the integer expression ( math_errhandling & MATH_ERRNO) is non-zero, then errno shall be set to [EDOM]. If the integer expression ( math_errhandling & MATH_ERREXCEPT) is non-zero, then the invalid floating-point exception shall be raised.
EXAMPLES
None.
APPLICATION USAGE
On error, the expressions ( math_errhandling & MATH_ERRNO) and ( math_errhandling & MATH_ERREXCEPT) are independent of each other, but at least one of them must be non-zero.
RATIONALE
The errors come from taking the expected floating-point value and converting it to int, which is an invalid operation in IEEE Std 754-1985 (since overflow, infinity, and NaN are not representable in a type int), so should be a domain error.
There are no known implementations that overflow. For overflow to happen, {INT_MAX} must be less than LDBL_MAX_EXP* log2 (FLT_RADIX) or {INT_MIN} must be greater than LDBL_MIN_EXP* log2 (FLT_RADIX) if subnormals are not supported, or {INT_MIN} must be greater than (LDBL_MIN_EXP-LDBL_MANT_DIG)* log2 (FLT_RADIX) if subnormals are supported.
FUTURE DIRECTIONS
None.
SEE ALSO
feclearexcept(3), fetestexcept(3), logb(3), scalbln(3)
XBD V1_chap04(7), <float.h>, <math.h>
CHANGE HISTORY
First released in Issue 4, Version 2.
Issue 5
Moved from X/OPEN UNIX extension to BASE.
Issue 6
The ilogb () function is no longer marked
as an extension.
The ilogbf () and ilogbl () functions are added for alignment with the ISO/IEC 9899:1999 (“ISO C99”) standard.
The RETURN VALUE section is revised for alignment with the ISO/IEC 9899:1999 (“ISO C99”) standard.
Functionality relating to the XSI option is marked.
Issue 7
ISO/IEC 9899:1999 (“ISO C99”) standard, Technical Corrigendum 2 #48 (SD5-XSH-ERN-71), #49, and #79 (SD5-XSH-ERN-72) are applied.