NAME |LIBRARY |SYNOPSIS |DESCRIPTION |RETURN VALUE |ERRORS |ATTRIBUTES |STANDARDS |HISTORY |SEE ALSO |COLOPHON | |
erf(3) Library Functions Manualerf(3)erf, erff, erfl - error function
Math library (libm,-lm)
#include <math.h>double erf(doublex);float erff(floatx);long double erfl(long doublex); Feature Test Macro Requirements for glibc (seefeature_test_macros(7)):erf(): _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L || _XOPEN_SOURCE || /* Since glibc 2.19: */ _DEFAULT_SOURCE || /* glibc <= 2.19: */ _BSD_SOURCE || _SVID_SOURCEerff(),erfl(): _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L || /* Since glibc 2.19: */ _DEFAULT_SOURCE || /* glibc <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
These functions return the error function ofx, defined as erf(x) = 2/sqrt(pi) * integral from 0 to x of exp(-t*t) dt
On success, these functions return the value of the error function ofx, a value in the range [-1, 1]. Ifx is a NaN, a NaN is returned. Ifx is +0 (-0), +0 (-0) is returned. Ifx is positive infinity (negative infinity), +1 (-1) is returned. Ifx is subnormal, a range error occurs, and the return value is 2*x/sqrt(pi).
Seemath_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 seterrno.
For an explanation of the terms used in this section, seeattributes(7). ┌──────────────────────────────────────┬───────────────┬─────────┐ │Interface│Attribute│Value│ ├──────────────────────────────────────┼───────────────┼─────────┤ │erf(),erff(),erfl() │ Thread safety │ MT-Safe │ └──────────────────────────────────────┴───────────────┴─────────┘
C11, POSIX.1-2008.
C99, POSIX.1-2001. The variant returningdouble also conforms to SVr4, 4.3BSD.
cerf(3),erfc(3),exp(3)
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