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Name

log1p, log1pf, log1pl - logarithm of 1 plus argument

Library

Math library ( libm ", " -lm )

Synopsis

#include <math.h> 
double log1p(double  x );
float log1pf(float x );
long double log1pl(long double x );
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

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.

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.

Errors

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.

Attributes

For an explanation of the terms used in this section, see attributes(7). allbox; lbx lb lb T{ log1p()log1pf()log1pl()
InterfaceAttributeValue
T}Thread safetyMT-Safe

Standards

C11, POSIX.1-2008.

History

C99, POSIX.1-2001.

Bugs

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

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

See Also

  1. exp(3),
  2. expm1(3),
  3. log(3)