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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 dif-ference difference ference 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 9899:1999(E). 4.3 Berkeley Distribution January 30, 2003 4.3 Berkeley Distribution |
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