.\" Copyright (c) 1985 Regents of the University of California. .\" All rights reserved. The Berkeley software License Agreement .\" specifies the terms and conditions for redistribution. .\" .\" @(#)erf.3m 6.2 (Berkeley) 5/12/86 .\" .TH ERF 3M "May 12, 1986" .UC 6 .SH NAME erf, erfc \- error functions .SH SYNOPSIS .nf .B #include .PP .B double erf(x) .B double x; .PP .B double erfc(x) .B double x; .fi .SH DESCRIPTION Erf\|(x) returns the error function of x; where .if n \{\ .PP erf(x) = 2/sqrt(pi)\(**\|integral from 0 to x of exp(\-t\(**t) dt. \} .if t \{\ erf\|(x) := (2/\(sr\(*p)\|\(is\d\s8\z0\s10\u\u\s8x\s10\d\|exp(\-t\u\s82\s10\d)\|dt. \} .PP Erfc\|(x) returns 1.0\-erf\|(x). .PP The entry for erfc is provided because of the extreme loss of relative accuracy if erf\|(x) is called for large x and the result subtracted from 1. (e.g. for x = 10, 12 places are lost). .SH SEE ALSO math(3M)