# Manual Reference Pages  - LOGB (P)

### PROLOG

This manual page is part of the POSIX Programmer’s Manual. The Linux implementation of this interface may differ (consult the corresponding Linux manual page for details of Linux behavior), or the interface may not be implemented on Linux.

### CONTENTS

Name
Synopsis
Description
Return Value
Errors
Examples
Application Usage
Rationale
Future Directions

### 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

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:

```

```

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, a pole error shall occur and logb(), logbf(), and logbl() shall return -HUGE_VAL, -HUGE_VALF, and -HUGE_VALL, respectively.

If x is NaN, a NaN shall be returned.

If x is ±Inf, +Inf shall be returned.

### ERRORS

These functions shall 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.

The following sections are informative.

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.

None.

None.