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+.\" Copyright (c) 1985, 1991 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 3. All advertising materials mentioning features or use of this software
+.\"    must display the following acknowledgement:
+.\"	This product includes software developed by the University of
+.\"	California, Berkeley and its contributors.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)erf.3	6.4 (Berkeley) 4/20/91
+.\" %FreeBSD: src/lib/msun/man/erf.3,v 1.5.2.4 2001/12/17 10:08:36 ru Exp %
+.\"
+.\" $FreeBSD$
+.Dd April 20, 1991
+.Dt ERF 3
+.Os
+.Sh 名称
+.Nm erf ,
+.Nm erff ,
+.Nm erfc ,
+.Nm erfcf
+.Nd 誤差関数の演算子
+.Sh ライブラリ
+.Lb libm
+.Sh 書式
+.In math.h
+.Ft double
+.Fn erf "double x"
+.Ft float
+.Fn erff "float x"
+.Ft double
+.Fn erfc "double x"
+.Ft float
+.Fn erfcf "float x"
+.Sh 解説
+これらの関数は
+.Fa x
+の誤差関数を計算します。
+.Pp
+.Fn erf
+関数と
+.Fn erff
+関数は、次のように、x の誤差関数 (error function) を計算します。
+.Bd -ragged -offset indent
+.if n \{\
+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 \}
+.Ed
+.Pp
+.Fn erfc
+関数と
+.Fn erfcf
+関数は
+.Fa x
+の相補誤差関数 (complementary error function) を計算します。すなわち、
+.Fn erfc
+は 1.0 から誤差関数
+.Fn erf x
+の結果を減算します。
+大きな
+.Fa x
+に対しては桁が失われてしまうため、この関数が有用です。
+.Sh 関連項目
+.Xr math 3
+.Sh 歴史
+.Fn erf
+と
+.Fn erfc
+関数は
+.Bx 4.3
+で登場しました。