J0
Section: Linux Programmer's Manual (3)
Updated: 2017-09-15
Index
Return to Main Contents
NAME
j0, j0f, j0l, j1, j1f, j1l, jn, jnf, jnl -
Bessel functions of the first kind
SYNOPSIS
#include <math.h>
double j0(double x);
double j1(double x);
double jn(int n, double x);
float j0f(float x);
float j1f(float x);
float jnf(int n, float x);
long double j0l(long double x);
long double j1l(long double x);
long double jnl(int n, long double x);
Link with -lm.
Feature Test Macro Requirements for glibc (see
feature_test_macros(7)):
j0(),
j1(),
jn():
-
_XOPEN_SOURCE
|| /* Since glibc 2.19: */ _DEFAULT_SOURCE
|| /* Glibc versions <= 2.19: */ _SVID_SOURCE || _BSD_SOURCE
j0f(),
j0l(),
j1f(),
j1l(),
jnf(),
jnl():
-
_XOPEN_SOURCE >= 600
|| (_ISOC99_SOURCE && _XOPEN_SOURCE)
|| /* Since glibc 2.19: */ _DEFAULT_SOURCE
|| /* Glibc versions <= 2.19: */ _SVID_SOURCE || _BSD_SOURCE
DESCRIPTION
The
j0()
and
j1()
functions return Bessel functions of
x
of the first kind of orders 0 and 1, respectively.
The
jn()
function
returns the Bessel function of
x
of the first kind of order
n.
The
j0f(),
j1f(),
and
jnf(),
functions are versions that take and return
float
values.
The
j0l(),
j1l(),
and
jnl()
functions are versions that take and return
long double
values.
RETURN VALUE
On success, these functions return the appropriate
Bessel value of the first kind for
x.
If
x
is a NaN, a NaN is returned.
If
x
is too large in magnitude,
or the result underflows,
a range error occurs,
and the return value is 0.
ERRORS
See
math_error(7)
for information on how to determine whether an error has occurred
when calling these functions.
The following errors can occur:
- Range error: result underflow, or x is too large in magnitude
-
errno
is set to
ERANGE.
These functions do not raise exceptions for
fetestexcept(3).
ATTRIBUTES
For an explanation of the terms used in this section, see
attributes(7).
| Interface | Attribute | Value
|
|
j0(),
j0f(),
j0l()
| Thread safety | MT-Safe
|
|
j1(),
j1f(),
j1l()
| Thread safety | MT-Safe
|
|
jn(),
jnf(),
jnl()
| Thread safety | MT-Safe
|
CONFORMING TO
The functions returning
double
conform to SVr4, 4.3BSD,
POSIX.1-2001, and POSIX.1-2008.
The others are nonstandard functions that also exist on the BSDs.
BUGS
There are errors of up to 2e-16 in the values returned by
j0(),
j1()
and
jn()
for values of
x
between -8 and 8.
SEE ALSO
y0(3)
COLOPHON
This page is part of release 4.13 of the Linux
man-pages
project.
A description of the project,
information about reporting bugs,
and the latest version of this page,
can be found at
https://www.kernel.org/doc/man-pages/.
Index
- NAME
-
- SYNOPSIS
-
- DESCRIPTION
-
- RETURN VALUE
-
- ERRORS
-
- ATTRIBUTES
-
- CONFORMING TO
-
- BUGS
-
- SEE ALSO
-
- COLOPHON
-
|
|
- Running on 
-
:
: 