NAME
logb logbf
logbl — radix-independent
exponent
SYNOPSIS
#include
<math.h>
double logb(double x); float logbf(float x); long double logbl(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.1-2008 defers to the ISO C standard.
These functions shall compute the exponent of x, which is the integral part of log r | x |, as a signed floating-point 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 the <float.h> header.
If x is subnormal it is treated as though it were normalized; thus for finite positive x:
1 <= x * FLT_RADIX-logb(x) < FLT_RADIX
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 of x.
If x is ±0, logb
(), logbf (), and logbl () shall return
-HUGE_VAL, -HUGE_VALF, and -HUGE_VALL, respectively.
[MX] On systems that support the IEC 60559 Floating-Point option, a pole error shall occur; otherwise, a [CX] pole error may occur.
[MX] If x is NaN, a NaN shall be returned.
[MX] If x is ±Inf, +Inf shall be returned.
ERRORS
These functions shall fail if:
- Pole Error
- [MX] The value of x is ±0.
If the integer expression ( math_errhandling & MATH_ERRNO) is non-zero, then errno shall be set to [ERANGE]. If the integer expression ( math_errhandling & MATH_ERREXCEPT) is non-zero, then the divide-by-zero floating-point exception shall be raised.
These functions may fail if:
- Pole Error
- The value of x is 0.
If the integer expression ( math_errhandling & MATH_ERRNO) is non-zero, then errno shall be set to [ERANGE]. If the integer expression ( math_errhandling & MATH_ERREXCEPT) is non-zero, then the divide-by-zero 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
None.
FUTURE DIRECTIONS
None.
SEE ALSO
feclearexcept(3), fetestexcept(3), ilogb(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 logb () function is no longer marked
as an extension.
The logbf () and logbl () functions are added for alignment with the ISO/IEC 9899:1999 (“ISO C99”) standard.
The DESCRIPTION, RETURN VALUE, ERRORS, and APPLICATION USAGE sections are revised to align with the ISO/IEC 9899:1999 (“ISO C99”) standard.
IEC 60559:1989 standard floating-point extensions over the ISO/IEC 9899:1999 (“ISO C99”) standard are marked.
Issue 7
ISO/IEC 9899:1999 (“ISO C99”) standard, Technical Corrigendum 2 #50 (SD5-XSH-ERN-76) is applied.