erff - error function

NAME LIBRARY SYNOPSIS DESCRIPTION RETURN VALUE ERRORS ATTRIBUTES STANDARDS HISTORY SEE ALSO

NAME

erf, erff, erfl − error function

LIBRARY

Math library (libm, −lm)

SYNOPSIS

#include <math.h>

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

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

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

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

DESCRIPTION

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.