независимая экспонента (independent exponent)
Пролог (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.
Имя (Name)
logb, logbf, logbl — radix-independent exponent
Синопсис (Synopsis)
#include <math.h>
double logb(double x);
float logbf(float x);
long double logbl(long double x);
Описание (Description)
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 compute the exponent of x, which is the
integral part of logr |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.
Возвращаемое значение (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.
On systems that support the IEC 60559 Floating-Point option, a
pole error shall occur;
otherwise, a pole error may occur.
If x is NaN, a NaN shall be returned.
If x is ±Inf, +Inf shall be returned.
Ошибки (Error)
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.
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.
The following sections are informative.
Примеры (Examples)
None.
Использование в приложениях (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.
Обоснование (Rationale)
None.
Будущие направления (Future directions)
None.
Смотри также (See also)
feclearexcept(3p), fetestexcept(3p), ilogb(3p), scalbln(3p)
The Base Definitions volume of POSIX.1‐2017, Section 4.20,
Treatment of Error Conditions for Mathematical Functions,
float.h(0p), math.h(0p)
