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   log1p    ( 3 )

логарифм 1 плюс аргумент (logarithm of 1 plus argument)

Имя (Name)

log1p, log1pf, log1pl - logarithm of 1 plus argument


Синопсис (Synopsis)

#include <math.h>

double log1p(double x); float log1pf(float x); long double log1pl(long double x);

Link with -lm.

Feature Test Macro Requirements for glibc (see feature_test_macros(7)):

log1p(): _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L || _XOPEN_SOURCE >= 500 || /* Since glibc 2.19: */ _DEFAULT_SOURCE || /* Glibc <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE

log1pf(), log1pl(): _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L || /* Since glibc 2.19: */ _DEFAULT_SOURCE || /* Glibc <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE


Описание (Description)

These functions return a value equivalent to

log (1 + x)

The result is computed in a way that is accurate even if the value of x is near zero.


Возвращаемое значение (Return value)

On success, these functions return the natural logarithm of (1 + x).

If x is a NaN, a NaN is returned.

If x is positive infinity, positive infinity is returned.

If x is -1, a pole error occurs, and the functions return -HUGE_VAL, -HUGE_VALF, or -HUGE_VALL, respectively.

If x is less than -1 (including negative infinity), a domain error occurs, and a NaN (not a number) is returned.


Ошибки (Error)

See math_error(7) for information on how to determine whether an error has occurred when calling these functions.

The following errors can occur:

Domain error: x is less than -1 errno is set to EDOM (but see BUGS). An invalid floating- point exception (FE_INVALID) is raised.

Pole error: x is -1 errno is set to ERANGE (but see BUGS). A divide-by-zero floating-point exception (FE_DIVBYZERO) is raised.


Атрибуты (Attributes)

For an explanation of the terms used in this section, see attributes(7).

┌──────────────────────────────────────┬───────────────┬─────────┐ │Interface Attribute Value │ ├──────────────────────────────────────┼───────────────┼─────────┤ │log1p(), log1pf(), log1pl() │ Thread safety │ MT-Safe │ └──────────────────────────────────────┴───────────────┴─────────┘


Стандарты (Conforming to)

C99, POSIX.1-2001, POSIX.1-2008.


Ошибки (баги) (Bugs)

Before version 2.22, the glibc implementation did not set errno to EDOM when a domain error occurred.

Before version 2.22, the glibc implementation did not set errno to ERANGE when a range error occurred.


Смотри также (See also)

exp(3), expm1(3), log(3)