| erf.3 (2117) | erf.3 (6794) |
|---|---|
| 1.\" Copyright (c) 1985, 1991 Regents of the University of California. 2.\" All rights reserved. 3.\" 4.\" Redistribution and use in source and binary forms, with or without 5.\" modification, are permitted provided that the following conditions 6.\" are met: 7.\" 1. Redistributions of source code must retain the above copyright 8.\" notice, this list of conditions and the following disclaimer. --- 16 unchanged lines hidden (view full) --- 25.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 26.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 27.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 28.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 29.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 30.\" SUCH DAMAGE. 31.\" 32.\" from: @(#)erf.3 6.4 (Berkeley) 4/20/91 | 1.\" Copyright (c) 1985, 1991 Regents of the University of California. 2.\" All rights reserved. 3.\" 4.\" Redistribution and use in source and binary forms, with or without 5.\" modification, are permitted provided that the following conditions 6.\" are met: 7.\" 1. Redistributions of source code must retain the above copyright 8.\" notice, this list of conditions and the following disclaimer. --- 16 unchanged lines hidden (view full) --- 25.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 26.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 27.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 28.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 29.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 30.\" SUCH DAMAGE. 31.\" 32.\" from: @(#)erf.3 6.4 (Berkeley) 4/20/91 |
| 33.\" $Id: erf.3,v 1.3 1993/08/14 13:42:38 mycroft Exp $ | 33.\" $Id: erf.3,v 1.1.1.1 1994/08/19 09:39:42 jkh Exp $ |
| 34.\" 35.Dd April 20, 1991 36.Dt ERF 3 37.Os BSD 4.3 38.Sh NAME 39.Nm erf , | 34.\" 35.Dd April 20, 1991 36.Dt ERF 3 37.Os BSD 4.3 38.Sh NAME 39.Nm erf , |
| 40.Nm erfc | 40.Nm erff , 41.Nm erfc , 42.Nm erfcf |
| 41.Nd error function operators 42.Sh SYNOPSIS 43.Fd #include <math.h> 44.Ft double 45.Fn erf "double x" | 43.Nd error function operators 44.Sh SYNOPSIS 45.Fd #include <math.h> 46.Ft double 47.Fn erf "double x" |
| 48.Ft float 49.Fn erff "float x" |
|
| 46.Ft double 47.Fn erfc "double x" | 50.Ft double 51.Fn erfc "double x" |
| 52.Ft float 53.Fn erfcf "float x" |
|
| 48.Sh DESCRIPTION 49These functions calculate the error function of 50.Fa x . 51.Pp 52The 53.Fn erf | 54.Sh DESCRIPTION 55These functions calculate the error function of 56.Fa x . 57.Pp 58The 59.Fn erf |
| 54calculates the error function of x; where | 60and the 61.Fn erff 62functions calculate the error function of x; where |
| 55.Bd -filled -offset indent 56.if n \{\ 57erf(x) = 2/sqrt(pi)\(**\|integral from 0 to x of exp(\-t\(**t) dt. \} 58.if t \{\ 59erf\|(x) := 60(2/\(sr\(*p)\|\(is\d\s8\z0\s10\u\u\s8x\s10\d\|exp(\-t\u\s82\s10\d)\|dt. \} 61.Ed 62.Pp 63The 64.Fn erfc | 63.Bd -filled -offset indent 64.if n \{\ 65erf(x) = 2/sqrt(pi)\(**\|integral from 0 to x of exp(\-t\(**t) dt. \} 66.if t \{\ 67erf\|(x) := 68(2/\(sr\(*p)\|\(is\d\s8\z0\s10\u\u\s8x\s10\d\|exp(\-t\u\s82\s10\d)\|dt. \} 69.Ed 70.Pp 71The 72.Fn erfc |
| 65function calculates the complementary error function of | 73and the 74.Fn erfcf 75functions calculate the complementary error function of |
| 66.Fa x ; 67that is 68.Fn erfc 69subtracts the result of the error function 70.Fn erf x 71from 1.0. 72This is useful, since for large 73.Fa x 74places disappear. 75.Sh SEE ALSO 76.Xr math 3 77.Sh HISTORY 78The 79.Fn erf 80and 81.Fn erfc 82functions appeared in 83.Bx 4.3 . | 76.Fa x ; 77that is 78.Fn erfc 79subtracts the result of the error function 80.Fn erf x 81from 1.0. 82This is useful, since for large 83.Fa x 84places disappear. 85.Sh SEE ALSO 86.Xr math 3 87.Sh HISTORY 88The 89.Fn erf 90and 91.Fn erfc 92functions appeared in 93.Bx 4.3 . |