log1p(3)

log1p3

Logarithm of 1 plus argument

Usage

#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

Library

Math library (libm, -lm)

Overview

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).

InterfaceAttributeValue
log1p(), log1pf(), log1pl()Thread safetyMT-Safe

Releases

19 releases since Debian 1.1 (Buzz); the text changed 13 times.

  1. 1.1–2.2
  2. 3.0
  3. 3.1
  4. 4.0
  5. 5.0
  6. 6.0
  7. 7
  8. 8
  9. 9
  10. 10
  11. 11
  12. 12
  13. 13
  14. Arch

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.

From man-pages 6.19-1 in Arch Linux 2026-11-01. Parsed by carta from the page's man source.