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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 pre-
     cision 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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