ERF(3) BSD Library Functions Manual ERF(3)NAME
erf, erfc -- error function operators
SYNOPSIS
#include <math.h>
double
erf(double x);
long double
erfl(long double x);
float
erff(float x);
double
erfc(double x);
long double
erfcl(long double x);
float
erfcf(float x);
DESCRIPTION
These functions calculate the error function of x.
The erf() function calculates the error function of x; where
erf(x) = 2/sqrt(pi)*integral from 0 to x of exp(-t*t) dt.
The erfc() function calculates the complementary error function of x; that is erfc() computes the difference of the error function erf(x)
from 1.0. This is useful, since for large x use of erfc() avoids loss of precision due to cancellation.
SPECIAL VALUES
erf(+-0) returns +-0.
erf(+-infinity) returns +-1.
erfc(-infinity) returns 2.
erfc(+infinity) returns +0.
SEE ALSO math(3)STANDARDS
The erf() and erfc() functions conform to ISO/IEC 9899:2011.
4.3 Berkeley Distribution December 11, 2006 4.3 Berkeley Distribution
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erfc(3M) Mathematical Library Functions erfc(3M)NAME
erfc, erfcf, erfcl - complementary error function
SYNOPSIS
c99 [ flag... ] file... -lm [ library... ]
#include <math.h>
double erfc(double x);
float erfcf(float x);
long double erfcl(long double x);
DESCRIPTION
These function compute the complementary error function 1.0 - erf(x).
RETURN VALUES
Upon successful completion, these functions return the value of the complementary error function.
If x is NaN, a NaN is returned.
If x is +-0, +1 is returned.
If x is -Inf, +2 is returned.
If x is +Inf, 0 is returned.
ERRORS
No errors are defined.
USAGE
The erfc() function is provided because of the extreme loss of relative accuracy if erf(x) is called for large x and the result subtracted
from 1.0.
ATTRIBUTES
See attributes(5) for descriptions of the following attributes:
+-----------------------------+-----------------------------+
| ATTRIBUTE TYPE | ATTRIBUTE VALUE |
+-----------------------------+-----------------------------+
|Interface Stability |Standard |
+-----------------------------+-----------------------------+
|MT-Level |MT-Safe |
+-----------------------------+-----------------------------+
SEE ALSO erf(3M), isnan(3M), math.h(3HEAD), attributes(5), standards(5)SunOS 5.11 12 Jul 2006 erfc(3M)
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