Manpage of Y0

Y0

Section: Linux Programmer's Manual (3)
Updated: 2016-03-15
Index
 

NAME

y0, y0f, y0l, y1, y1f, y1l, yn, ynf, ynl - Bessel functions of the second kind  

SYNOPSIS

#include <math.h>double y0(double x);
double y1(double x);
double yn(int n, double x);float y0f(float x);
float y1f(float x);
float ynf(int n, float x);long double y0l(long double x);
long double y1l(long double x);
long double ynl(int n, long double x);

Link with -lm.

Feature Test Macro Requirements for glibc (see feature_test_macros(7)):

y0(), y1(), yn():

_XOPEN_SOURCE
    || /* Since glibc 2.19: */ _DEFAULT_SOURCE
    || /* Glibc versions <= 2.19: */ _SVID_SOURCE || _BSD_SOURCE

y0f(), y0l(), y1f(), y1l(), ynf(), ynl():
_XOPEN_SOURCE  >= 600
    || (_ISOC99_SOURCE && _XOPEN_SOURCE)
    || /* Since glibc 2.19: */ _DEFAULT_SOURCE
    || /* Glibc versions <= 2.19: */ _SVID_SOURCE || _BSD_SOURCE
 

DESCRIPTION

The y0() and y1() functions return Bessel functions of xof the second kind of orders 0 and 1, respectively. The yn() function returns the Bessel function of xof the second kind of order n.

The value of xmust be positive.

The y0f(), y1f(), and ynf() functions are versions that take and return floatvalues. The y0l(), y1l(), and ynl() functions are versions that take and return long doublevalues.  

RETURN VALUE

On success, these functions return the appropriate Bessel value of the second kind for x.

If xis a NaN, a NaN is returned.

If xis negative, a domain error occurs, and the functions return -HUGE_VAL, -HUGE_VALF, or -HUGE_VALL, respectively. (POSIX.1-2001 also allows a NaN return for this case.)

If xis 0.0, a pole error occurs, and the functions return -HUGE_VAL, -HUGE_VALF, or -HUGE_VALL, respectively.

If the result underflows, a range error occurs, and the functions return 0.0

If the result overflows, a range error occurs, and the functions return -HUGE_VAL, -HUGE_VALF, or -HUGE_VALL, respectively. (POSIX.1-2001 also allows a 0.0 return for this case.)  

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:

Domain error: x is negative
errnois set to EDOM. An invalid floating-point exception (FE_INVALID) is raised.
Pole error: x is 0.0
errnois set to ERANGE(but see BUGS). No FE_DIVBYZEROexception is returned by fetestexcept(3) for this case.
Range error: result underflow
errnois set to ERANGE. No FE_UNDERFLOWexception is returned by fetestexcept(3) for this case.
Range error: result overflow
errnois not set for this case. An overflow floating-point exception (FE_OVERFLOW) is raised.
 

ATTRIBUTES

For an explanation of the terms used in this section, see attributes(7).
InterfaceAttributeValue
y0(), y0f(), y0l() Thread safetyMT-Safe
y1(), y1f(), y1l() Thread safetyMT-Safe
yn(), ynf(), ynl() Thread safetyMT-Safe
 

CONFORMING TO

The functions returning doubleconform to SVr4, 4.3BSD, POSIX.1-2001, POSIX.1-2008. The others are nonstandard functions that also exist on the BSDs.  

BUGS

On a pole error, these functions set errnoto EDOM, instead of ERANGEas POSIX.1-2004 requires.

In glibc version 2.3.2 and earlier, these functions do not raise an invalid floating-point exception (FE_INVALID) when a domain error occurs.  

SEE ALSO

j0(3)


 

Index

NAME
SYNOPSIS
DESCRIPTION
RETURN VALUE
ERRORS
ATTRIBUTES
CONFORMING TO
BUGS
SEE ALSO

This document was created by man2html, using the manual pages.
Time: 22:27:54 GMT, June 20, 2016