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J.T. Conklin's latest version of the Sun math library. -- Begin comments from J.T. Conklin: The most significant improvement is the addition of "float" versions of the math functions that take float arguments, return floats, and do all operations in floating point. This doesn't help (performance) much on the i386, but they are still nice to have. The float versions were orginally done by Cygnus' Ian Taylor when fdlibm was integrated into the libm we support for embedded systems. I gave Ian a copy of my libm as a starting point since I had already fixed a lot of bugs & problems in Sun's original code. After he was done, I cleaned it up a bit and integrated the changes back into my libm. -- End comments Reviewed by: jkh Submitted by: jtc
1994-08-19 09:40:01 +00:00
.\" 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.
.\" 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
$Id$ -> $FreeBSD$
1999-08-28 00:22:10 +00:00
.\" $FreeBSD$
J.T. Conklin's latest version of the Sun math library. -- Begin comments from J.T. Conklin: The most significant improvement is the addition of "float" versions of the math functions that take float arguments, return floats, and do all operations in floating point. This doesn't help (performance) much on the i386, but they are still nice to have. The float versions were orginally done by Cygnus' Ian Taylor when fdlibm was integrated into the libm we support for embedded systems. I gave Ian a copy of my libm as a starting point since I had already fixed a lot of bugs & problems in Sun's original code. After he was done, I cleaned it up a bit and integrated the changes back into my libm. -- End comments Reviewed by: jkh Submitted by: jtc
1994-08-19 09:40:01 +00:00
.\"
* Makefile: . 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)
2014-07-13 17:05:03 +00:00
.Dd July 13, 2014
J.T. Conklin's latest version of the Sun math library. -- Begin comments from J.T. Conklin: The most significant improvement is the addition of "float" versions of the math functions that take float arguments, return floats, and do all operations in floating point. This doesn't help (performance) much on the i386, but they are still nice to have. The float versions were orginally done by Cygnus' Ian Taylor when fdlibm was integrated into the libm we support for embedded systems. I gave Ian a copy of my libm as a starting point since I had already fixed a lot of bugs & problems in Sun's original code. After he was done, I cleaned it up a bit and integrated the changes back into my libm. -- End comments Reviewed by: jkh Submitted by: jtc
1994-08-19 09:40:01 +00:00
.Dt ERF 3
mdoc(7) police: removed HISTORY info from the .Os call.
2001-07-10 13:41:46 +00:00
.Os
J.T. Conklin's latest version of the Sun math library. -- Begin comments from J.T. Conklin: The most significant improvement is the addition of "float" versions of the math functions that take float arguments, return floats, and do all operations in floating point. This doesn't help (performance) much on the i386, but they are still nice to have. The float versions were orginally done by Cygnus' Ian Taylor when fdlibm was integrated into the libm we support for embedded systems. I gave Ian a copy of my libm as a starting point since I had already fixed a lot of bugs & problems in Sun's original code. After he was done, I cleaned it up a bit and integrated the changes back into my libm. -- End comments Reviewed by: jkh Submitted by: jtc
1994-08-19 09:40:01 +00:00
.Sh NAME
.Nm erf ,
Additions from Thomas Graichen to mention each functions' floating point counterpart. Submitted by: Thomas Graichen <graichen@sirius.physik.fu-berlin.de>
1995-03-01 05:06:48 +00:00
.Nm erff ,
* Makefile: . 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)
2014-07-13 17:05:03 +00:00
.Nm erfl ,
Additions from Thomas Graichen to mention each functions' floating point counterpart. Submitted by: Thomas Graichen <graichen@sirius.physik.fu-berlin.de>
1995-03-01 05:06:48 +00:00
.Nm erfc ,
* Makefile: . 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)
2014-07-13 17:05:03 +00:00
.Nm erfcf ,
.Nm erfcl
J.T. Conklin's latest version of the Sun math library. -- Begin comments from J.T. Conklin: The most significant improvement is the addition of "float" versions of the math functions that take float arguments, return floats, and do all operations in floating point. This doesn't help (performance) much on the i386, but they are still nice to have. The float versions were orginally done by Cygnus' Ian Taylor when fdlibm was integrated into the libm we support for embedded systems. I gave Ian a copy of my libm as a starting point since I had already fixed a lot of bugs & problems in Sun's original code. After he was done, I cleaned it up a bit and integrated the changes back into my libm. -- End comments Reviewed by: jkh Submitted by: jtc
1994-08-19 09:40:01 +00:00
.Nd error function operators
Use ".Lb libm" where it will have an effect (not just in the zombie man pages in libm). Submitted by: phantom
2001-10-13 12:23:23 +00:00
.Sh LIBRARY
.Lb libm
J.T. Conklin's latest version of the Sun math library. -- Begin comments from J.T. Conklin: The most significant improvement is the addition of "float" versions of the math functions that take float arguments, return floats, and do all operations in floating point. This doesn't help (performance) much on the i386, but they are still nice to have. The float versions were orginally done by Cygnus' Ian Taylor when fdlibm was integrated into the libm we support for embedded systems. I gave Ian a copy of my libm as a starting point since I had already fixed a lot of bugs & problems in Sun's original code. After he was done, I cleaned it up a bit and integrated the changes back into my libm. -- End comments Reviewed by: jkh Submitted by: jtc
1994-08-19 09:40:01 +00:00
.Sh SYNOPSIS
mdoc(7) police: Use the new .In macro for #include statements.
2001-10-01 16:09:29 +00:00
.In math.h
J.T. Conklin's latest version of the Sun math library. -- Begin comments from J.T. Conklin: The most significant improvement is the addition of "float" versions of the math functions that take float arguments, return floats, and do all operations in floating point. This doesn't help (performance) much on the i386, but they are still nice to have. The float versions were orginally done by Cygnus' Ian Taylor when fdlibm was integrated into the libm we support for embedded systems. I gave Ian a copy of my libm as a starting point since I had already fixed a lot of bugs & problems in Sun's original code. After he was done, I cleaned it up a bit and integrated the changes back into my libm. -- End comments Reviewed by: jkh Submitted by: jtc
1994-08-19 09:40:01 +00:00
.Ft double
.Fn erf "double x"
Additions from Thomas Graichen to mention each functions' floating point counterpart. Submitted by: Thomas Graichen <graichen@sirius.physik.fu-berlin.de>
1995-03-01 05:06:48 +00:00
.Ft float
.Fn erff "float x"
* Makefile: . 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)
2014-07-13 17:05:03 +00:00
.Ft "long double"
.Fn erfl "long double x"
J.T. Conklin's latest version of the Sun math library. -- Begin comments from J.T. Conklin: The most significant improvement is the addition of "float" versions of the math functions that take float arguments, return floats, and do all operations in floating point. This doesn't help (performance) much on the i386, but they are still nice to have. The float versions were orginally done by Cygnus' Ian Taylor when fdlibm was integrated into the libm we support for embedded systems. I gave Ian a copy of my libm as a starting point since I had already fixed a lot of bugs & problems in Sun's original code. After he was done, I cleaned it up a bit and integrated the changes back into my libm. -- End comments Reviewed by: jkh Submitted by: jtc
1994-08-19 09:40:01 +00:00
.Ft double
.Fn erfc "double x"
Additions from Thomas Graichen to mention each functions' floating point counterpart. Submitted by: Thomas Graichen <graichen@sirius.physik.fu-berlin.de>
1995-03-01 05:06:48 +00:00
.Ft float
.Fn erfcf "float x"
* Makefile: . 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)
2014-07-13 17:05:03 +00:00
.Ft "long double"
.Fn erfcl "long double x"
J.T. Conklin's latest version of the Sun math library. -- Begin comments from J.T. Conklin: The most significant improvement is the addition of "float" versions of the math functions that take float arguments, return floats, and do all operations in floating point. This doesn't help (performance) much on the i386, but they are still nice to have. The float versions were orginally done by Cygnus' Ian Taylor when fdlibm was integrated into the libm we support for embedded systems. I gave Ian a copy of my libm as a starting point since I had already fixed a lot of bugs & problems in Sun's original code. After he was done, I cleaned it up a bit and integrated the changes back into my libm. -- End comments Reviewed by: jkh Submitted by: jtc
1994-08-19 09:40:01 +00:00
.Sh DESCRIPTION
These functions calculate the error function of
.Fa x .
.Pp
The
* Makefile: . 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)
2014-07-13 17:05:03 +00:00
.Fn erf ,
.Fn erff ,
and
.Fn erfl
Additions from Thomas Graichen to mention each functions' floating point counterpart. Submitted by: Thomas Graichen <graichen@sirius.physik.fu-berlin.de>
1995-03-01 05:06:48 +00:00
functions calculate the error function of x; where
mdoc(7) police: Change -filled displays (which just happen to be the same as -ragged in the current implementation) to -ragged. With mdocNG, -filled displays produce the correct output, formatted and justified to both margins.
2001-02-07 13:45:30 +00:00
.Bd -ragged -offset indent
J.T. Conklin's latest version of the Sun math library. -- Begin comments from J.T. Conklin: The most significant improvement is the addition of "float" versions of the math functions that take float arguments, return floats, and do all operations in floating point. This doesn't help (performance) much on the i386, but they are still nice to have. The float versions were orginally done by Cygnus' Ian Taylor when fdlibm was integrated into the libm we support for embedded systems. I gave Ian a copy of my libm as a starting point since I had already fixed a lot of bugs & problems in Sun's original code. After he was done, I cleaned it up a bit and integrated the changes back into my libm. -- End comments Reviewed by: jkh Submitted by: jtc
1994-08-19 09:40:01 +00:00
.if n \{\
Mechanically kill hard sentence breaks.
2004-07-02 23:52:20 +00:00
erf(x) = 2/sqrt(pi)\(**\|integral from 0 to x of exp(\-t\(**t) dt.
\}
J.T. Conklin's latest version of the Sun math library. -- Begin comments from J.T. Conklin: The most significant improvement is the addition of "float" versions of the math functions that take float arguments, return floats, and do all operations in floating point. This doesn't help (performance) much on the i386, but they are still nice to have. The float versions were orginally done by Cygnus' Ian Taylor when fdlibm was integrated into the libm we support for embedded systems. I gave Ian a copy of my libm as a starting point since I had already fixed a lot of bugs & problems in Sun's original code. After he was done, I cleaned it up a bit and integrated the changes back into my libm. -- End comments Reviewed by: jkh Submitted by: jtc
1994-08-19 09:40:01 +00:00
.if t \{\
Remove whitespace at EOL.
2001-07-15 07:53:42 +00:00
erf\|(x) :=
Mechanically kill hard sentence breaks.
2004-07-02 23:52:20 +00:00
(2/\(sr\(*p)\|\(is\d\s8\z0\s10\u\u\s8x\s10\d\|exp(\-t\u\s82\s10\d)\|dt.
\}
J.T. Conklin's latest version of the Sun math library. -- Begin comments from J.T. Conklin: The most significant improvement is the addition of "float" versions of the math functions that take float arguments, return floats, and do all operations in floating point. This doesn't help (performance) much on the i386, but they are still nice to have. The float versions were orginally done by Cygnus' Ian Taylor when fdlibm was integrated into the libm we support for embedded systems. I gave Ian a copy of my libm as a starting point since I had already fixed a lot of bugs & problems in Sun's original code. After he was done, I cleaned it up a bit and integrated the changes back into my libm. -- End comments Reviewed by: jkh Submitted by: jtc
1994-08-19 09:40:01 +00:00
.Ed
.Pp
The
* Makefile: . 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)
2014-07-13 17:05:03 +00:00
.Fn erfc ,
.Fn erfcf ,
and
.Fn erfcl
Additions from Thomas Graichen to mention each functions' floating point counterpart. Submitted by: Thomas Graichen <graichen@sirius.physik.fu-berlin.de>
1995-03-01 05:06:48 +00:00
functions calculate the complementary error function of
J.T. Conklin's latest version of the Sun math library. -- Begin comments from J.T. Conklin: The most significant improvement is the addition of "float" versions of the math functions that take float arguments, return floats, and do all operations in floating point. This doesn't help (performance) much on the i386, but they are still nice to have. The float versions were orginally done by Cygnus' Ian Taylor when fdlibm was integrated into the libm we support for embedded systems. I gave Ian a copy of my libm as a starting point since I had already fixed a lot of bugs & problems in Sun's original code. After he was done, I cleaned it up a bit and integrated the changes back into my libm. -- End comments Reviewed by: jkh Submitted by: jtc
1994-08-19 09:40:01 +00:00
.Fa x ;
that is
.Fn erfc
subtracts the result of the error function
.Fn erf x
from 1.0.
.Sh SEE ALSO
.Xr math 3
.Sh HISTORY
The
.Fn erf
and
.Fn erfc
functions appeared in
.Bx 4.3 .
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