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diff --git a/man3/j0.3 b/man3/j0.3 new file mode 100644 index 0000000..1ca739b --- /dev/null +++ b/man3/j0.3 @@ -0,0 +1,196 @@ +'\" t +.\" Copyright 1993 David Metcalfe (david@prism.demon.co.uk) +.\" and Copyright 2008, Linux Foundation, written by Michael Kerrisk +.\" <mtk.manpages@gmail.com> +.\" +.\" SPDX-License-Identifier: Linux-man-pages-copyleft +.\" +.\" References consulted: +.\" Linux libc source code +.\" Lewine's _POSIX Programmer's Guide_ (O'Reilly & Associates, 1991) +.\" 386BSD man pages +.\" Modified Sat Jul 24 19:08:17 1993 by Rik Faith (faith@cs.unc.edu) +.\" Modified 2002-08-25, aeb +.\" Modified 2004-11-12 as per suggestion by Fabian Kreutz/AEB +.\" 2008-07-24, mtk, moved yxx() material into separate y0.3 page +.\" +.TH j0 3 2023-07-20 "Linux man-pages 6.05.01" +.SH NAME +j0, j0f, j0l, j1, j1f, j1l, jn, jnf, jnl \- +Bessel functions of the first kind +.SH LIBRARY +Math library +.RI ( libm ", " \-lm ) +.SH SYNOPSIS +.nf +.B #include <math.h> +.PP +.BI "double j0(double " x ); +.BI "double j1(double " x ); +.BI "double jn(int " n ", double " x ); +.PP +.BI "float j0f(float " x ); +.BI "float j1f(float " x ); +.BI "float jnf(int " n ", float " x ); +.PP +.BI "long double j0l(long double " x ); +.BI "long double j1l(long double " x ); +.BI "long double jnl(int " n ", long double " x ); +.fi +.PP +.RS -4 +Feature Test Macro Requirements for glibc (see +.BR feature_test_macros (7)): +.RE +.PP +.BR j0 (), +.BR j1 (), +.BR jn (): +.nf + _XOPEN_SOURCE + || /* Since glibc 2.19: */ _DEFAULT_SOURCE + || /* glibc <= 2.19: */ _SVID_SOURCE || _BSD_SOURCE +.fi +.PP +.BR j0f (), +.BR j0l (), +.BR j1f (), +.BR j1l (), +.BR jnf (), +.BR jnl (): +.nf + _XOPEN_SOURCE >= 600 + || (_ISOC99_SOURCE && _XOPEN_SOURCE) + || /* Since glibc 2.19: */ _DEFAULT_SOURCE + || /* glibc <= 2.19: */ _SVID_SOURCE || _BSD_SOURCE +.fi +.SH DESCRIPTION +The +.BR j0 () +and +.BR j1 () +functions return Bessel functions of +.I x +of the first kind of orders 0 and 1, respectively. +The +.BR jn () +function +returns the Bessel function of +.I x +of the first kind of order +.IR n . +.PP +The +.BR j0f (), +.BR j1f (), +and +.BR jnf (), +functions are versions that take and return +.I float +values. +The +.BR j0l (), +.BR j1l (), +and +.BR jnl () +functions are versions that take and return +.I "long double" +values. +.SH RETURN VALUE +On success, these functions return the appropriate +Bessel value of the first kind for +.IR x . +.PP +If +.I x +is a NaN, a NaN is returned. +.PP +If +.I x +is too large in magnitude, +or the result underflows, +a range error occurs, +and the return value is 0. +.SH ERRORS +See +.BR math_error (7) +for information on how to determine whether an error has occurred +when calling these functions. +.PP +The following errors can occur: +.TP +Range error: result underflow, or \fIx\fP is too large in magnitude +.I errno +is set to +.BR ERANGE . +.PP +These functions do not raise exceptions for +.BR fetestexcept (3). +.\" e.g., j0(1.5e16) +.\" This is intentional. +.\" See https://www.sourceware.org/bugzilla/show_bug.cgi?id=6805 +.SH ATTRIBUTES +For an explanation of the terms used in this section, see +.BR attributes (7). +.TS +allbox; +lbx lb lb +l l l. +Interface Attribute Value +T{ +.na +.nh +.BR j0 (), +.BR j0f (), +.BR j0l () +T} Thread safety MT-Safe +T{ +.na +.nh +.BR j1 (), +.BR j1f (), +.BR j1l () +T} Thread safety MT-Safe +T{ +.na +.nh +.BR jn (), +.BR jnf (), +.BR jnl () +T} Thread safety MT-Safe +.TE +.sp 1 +.SH STANDARDS +.TP +.BR j0 () +.TQ +.BR j1 () +.TQ +.BR jn () +POSIX.1-2008. +.TP +Others: +BSD. +.SH HISTORY +.TP +.BR j0 () +.TQ +.BR j1 () +.TQ +.BR jn () +SVr4, 4.3BSD, +POSIX.1-2001, POSIX.1-2008. +.TP +Others: +BSD. +.SH BUGS +There are errors of up to 2e\-16 in the values returned by +.BR j0 (), +.BR j1 (), +and +.BR jn () +for values of +.I x +between \-8 and 8. +.SH SEE ALSO +.BR y0 (3) |