carta
erfl(3)

erfl3

Error function

Part of erf(3).

Usage

double erf(double x); float erff(float x); long double erfl(long double x);

_ISOC99_SOURCE { | | _POSIX_C_SOURCE >= 200112L | | _XOPEN_SOURCE}

_ISOC99_SOURCE { | | _POSIX_C_SOURCE >= 200112L}

Library

Math library (libm, -lm)

Overview

These functions return the error function of x, defined as

erf(x) = 2/sqrt(pi) * integral from 0 to x of exp(-t*t) dt

Return value

On success, these functions return the value of the error function of x, a value in the range [-1, 1].

If x is a NaN, a NaN is returned.

If x is +0 (-0), +0 (-0) is returned.

If x is positive infinity (negative infinity), +1 (-1) is returned.

If x is subnormal, a range error occurs, and the return value is 2*x/sqrt(pi).

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:

Range error: result underflow (x is subnormal)

An underflow floating-point exception (FE_UNDERFLOW) is raised.

These functions do not set errno.

Attributes

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

InterfaceAttributeValue
erf(), erff(), erfl()Thread safetyMT-Safe

History

  • Arch Linux 2026-11-01: the text shown here
  • Debian 13 (Trixie)
  • Debian 12 (Bookworm)
  • Debian 11 (Bullseye)
  • Debian 10 (Buster)
  • Debian 9 (Stretch)
  • Debian 8 (Jessie)
  • Debian 7 (Wheezy)
  • Debian 6.0 (Squeeze)
  • Debian 5.0 (Lenny)
  • Debian 4.0 (Etch)
  • Debian 3.1 (Sarge)

Standards

C11, POSIX.1-2008.

History

C99, POSIX.1-2001.

The variant returning double also conforms to SVr4, 4.3BSD.

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