ff0ae31edc
. Add s_erfl.c to building libm.
. Add MLINKS for erfl.3 and erfcl.3.
* Symbol.map:
. Move erfl and erfcl to their proper location.
* ld128/s_erfl.c:
. Implementations of erfl and erfcl in the IEEE 754 128-bit format.
* ld80/s_erfl.c:
. Implementations of erfl and erfcl in the Intel 80-bit format.
* man/erf.3:
. Document the new functions.
. While here, remove an incomplete sentence.
* src/imprecise.c:
. Remove the stupidity of mapping erfl and erfcl to erf and erfc.
* src/math.h:
. Move the declarations of erfl and erfcl to their proper place.
* src/s_erf.c:
. For architectures where double and long double are the same
floating point format, use weak references to map erfl to
erf and ercl to erfc.
Reviewed by: bde (many earlier versions)
99 lines
2.7 KiB
Groff
99 lines
2.7 KiB
Groff
.\" Copyright (c) 1985, 1991 Regents of the University of California.
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.\" All rights reserved.
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.\"
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.\" Redistribution and use in source and binary forms, with or without
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.\" modification, are permitted provided that the following conditions
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.\" are met:
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.\" 1. Redistributions of source code must retain the above copyright
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.\" notice, this list of conditions and the following disclaimer.
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.\" 2. Redistributions in binary form must reproduce the above copyright
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.\" notice, this list of conditions and the following disclaimer in the
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.\" documentation and/or other materials provided with the distribution.
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.\" 4. Neither the name of the University nor the names of its contributors
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.\" may be used to endorse or promote products derived from this software
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.\" without specific prior written permission.
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.\"
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.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
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.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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.\" ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
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.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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.\" SUCH DAMAGE.
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.\"
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.\" from: @(#)erf.3 6.4 (Berkeley) 4/20/91
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.\" $FreeBSD$
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.\"
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.Dd July 13, 2014
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.Dt ERF 3
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.Os
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.Sh NAME
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.Nm erf ,
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.Nm erff ,
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.Nm erfl ,
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.Nm erfc ,
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.Nm erfcf ,
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.Nm erfcl
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.Nd error function operators
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.Sh LIBRARY
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.Lb libm
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.Sh SYNOPSIS
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.In math.h
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.Ft double
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.Fn erf "double x"
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.Ft float
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.Fn erff "float x"
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.Ft "long double"
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.Fn erfl "long double x"
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.Ft double
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.Fn erfc "double x"
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.Ft float
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.Fn erfcf "float x"
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.Ft "long double"
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.Fn erfcl "long double x"
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.Sh DESCRIPTION
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These functions calculate the error function of
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.Fa x .
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.Pp
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The
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.Fn erf ,
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.Fn erff ,
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and
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.Fn erfl
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functions calculate the error function of x; where
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.Bd -ragged -offset indent
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.if n \{\
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erf(x) = 2/sqrt(pi)\(**\|integral from 0 to x of exp(\-t\(**t) dt.
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\}
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.if t \{\
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erf\|(x) :=
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(2/\(sr\(*p)\|\(is\d\s8\z0\s10\u\u\s8x\s10\d\|exp(\-t\u\s82\s10\d)\|dt.
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\}
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.Ed
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.Pp
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The
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.Fn erfc ,
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.Fn erfcf ,
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and
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.Fn erfcl
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functions calculate the complementary error function of
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.Fa x ;
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that is
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.Fn erfc
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subtracts the result of the error function
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.Fn erf x
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from 1.0.
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.Sh SEE ALSO
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.Xr math 3
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.Sh HISTORY
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The
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.Fn erf
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and
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.Fn erfc
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functions appeared in
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.Bx 4.3 .
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