1130b656e5
This will make a number of things easier in the future, as well as (finally!) avoiding the Id-smashing problem which has plagued developers for so long. Boy, I'm glad we're not using sup anymore. This update would have been insane otherwise.
156 lines
3.6 KiB
Groff
156 lines
3.6 KiB
Groff
.\" 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: @(#)j0.3 6.7 (Berkeley) 4/19/91
|
|
.\" $FreeBSD$
|
|
.\"
|
|
.Dd April 19, 1991
|
|
.Dt J0 3
|
|
.Os BSD 4
|
|
.Sh NAME
|
|
.Nm j0 ,
|
|
.Nm j0f ,
|
|
.Nm j1 ,
|
|
.Nm j1f ,
|
|
.Nm jn ,
|
|
.Nm jnf ,
|
|
.Nm y0 ,
|
|
.Nm y0f ,
|
|
.Nm y1 ,
|
|
.Nm y1f ,
|
|
.Nm yn ,
|
|
.Nm ynf
|
|
.Nd Bessel functions of first and second kind
|
|
.Sh SYNOPSIS
|
|
.Fd #include <math.h>
|
|
.Ft double
|
|
.Fn j0 "double x"
|
|
.Ft float
|
|
.Fn j0f "float x"
|
|
.Ft double
|
|
.Fn j1 "double x"
|
|
.Ft float
|
|
.Fn j1f "float x"
|
|
.Ft double
|
|
.Fn jn "int n" "double x"
|
|
.Ft float
|
|
.Fn jnf "int n" "float x"
|
|
.Ft double
|
|
.Fn y0 "double x"
|
|
.Ft float
|
|
.Fn y0f "float x"
|
|
.Ft double
|
|
.Fn y1 "double x"
|
|
.Ft float
|
|
.Fn y1f "float x"
|
|
.Ft double
|
|
.Fn yn "int n" "double x"
|
|
.Ft float
|
|
.Fn ynf "int n" "float x"
|
|
.Sh DESCRIPTION
|
|
The functions
|
|
.Fn j0 ,
|
|
.Fn j0f ,
|
|
.Fn j1
|
|
and
|
|
.Fn j1f
|
|
compute the
|
|
.Em Bessel function of the first kind of the order
|
|
0 and the
|
|
.Em order
|
|
1, respectively,
|
|
for the
|
|
real value
|
|
.Fa x ;
|
|
the functions
|
|
.Fn jn
|
|
and
|
|
.Fn jnf
|
|
compute the
|
|
.Em Bessel function of the first kind of the integer
|
|
.Em order
|
|
.Fa n
|
|
for the real value
|
|
.Fa x .
|
|
.Pp
|
|
The functions
|
|
.Fn y0 ,
|
|
.Fn y0f ,
|
|
.Fn y1 ,
|
|
and
|
|
.Fn y1f
|
|
compute the linearly independent
|
|
.Em Bessel function of the second kind of the order
|
|
0 and the
|
|
.Em order
|
|
1, respectively,
|
|
for the
|
|
positive
|
|
.Em real
|
|
value
|
|
.Fa x ;
|
|
the functions
|
|
.Fn yn
|
|
and
|
|
.Fn ynf
|
|
compute the
|
|
.Em Bessel function of the second kind for the integer
|
|
.Em order
|
|
.Fa n
|
|
for the positive
|
|
.Em real
|
|
value
|
|
.Fa x .
|
|
.Sh RETURN VALUES
|
|
If these functions are successful,
|
|
the computed value is returned. On the
|
|
.Tn VAX
|
|
and
|
|
.Tn Tahoe
|
|
architectures,
|
|
for the Bessel functions of the second kind,
|
|
a negative
|
|
or zero
|
|
.Fa x
|
|
value
|
|
results in an error; the global
|
|
variable
|
|
.Va errno
|
|
is set to
|
|
.Er EDOM
|
|
and a reserve operand fault is generated.
|
|
.Sh SEE ALSO
|
|
.Xr math 3
|
|
.Sh HISTORY
|
|
This set of functions
|
|
appeared in
|
|
.At v7 .
|