Movatterモバイル変換

y0(3) — Linux manual page

NAME \|LIBRARY \|SYNOPSIS \|DESCRIPTION \|RETURN VALUE \|ERRORS \|ATTRIBUTES \|STANDARDS \|HISTORY \|BUGS \|SEE ALSO \|COLOPHON

y0(3)                    Library Functions Manualy0(3)

NAME top

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

LIBRARY top

       Math library (libm,-lm)

SYNOPSIS top

#include <math.h>double y0(doublex);double y1(doublex);double yn(intn, doublex);float y0f(floatx);float y1f(floatx);float ynf(intn, floatx);long double y0l(long doublex);long double y1l(long doublex);long double ynl(intn, long doublex);   Feature Test Macro Requirements for glibc (seefeature_test_macros(7)):y0(),y1(),yn():           _XOPEN_SOURCE               || /* Since glibc 2.19: */ _DEFAULT_SOURCE               || /* glibc <= 2.19: */ _SVID_SOURCE || _BSD_SOURCEy0f(),y0l(),y1f(),y1l(),ynf(),ynl():           _XOPEN_SOURCE >= 600               || (_ISOC99_SOURCE && _XOPEN_SOURCE)               || /* Since glibc 2.19: */ _DEFAULT_SOURCE               || /* glibc <= 2.19: */ _SVID_SOURCE || _BSD_SOURCE

DESCRIPTION top

       They0() andy1() functions return Bessel functions ofx of the       second kind of orders 0 and 1, respectively.  Theyn() function       returns the Bessel function ofx of the second kind of ordern.       The value ofx must be positive.       They0f(),y1f(), andynf() functions are versions that take and       returnfloat values.  They0l(),y1l(), andynl() functions are       versions that take and returnlong double values.

RETURN VALUE top

       On success, these functions return the appropriate Bessel value of       the second kind forx.       Ifx is a NaN, a NaN is returned.       Ifx is 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.)       Ifx is 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 top

       Seemath_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 negativeerrno is set toEDOM.  An invalid floating-point exception              (FE_INVALID) is raised.       Pole error:x is 0.0errno is set toERANGEand anFE_DIVBYZEROexception is              raised (but see BUGS).       Range error: result underflowerrno is set toERANGE.  NoFE_UNDERFLOWexception is              returned byfetestexcept(3) for this case.       Range error: result overflowerrno is set toERANGE(but see BUGS).  An overflow              floating-point exception (FE_OVERFLOW) is raised.

ATTRIBUTES top

       For an explanation of the terms used in this section, seeattributes(7).       ┌──────────────────────────────────────┬───────────────┬─────────┐       │Interface│Attribute│Value│       ├──────────────────────────────────────┼───────────────┼─────────┤       │y0(),y0f(),y0l()                   │ Thread safety │ MT-Safe │       ├──────────────────────────────────────┼───────────────┼─────────┤       │y1(),y1f(),y1l()                   │ Thread safety │ MT-Safe │       ├──────────────────────────────────────┼───────────────┼─────────┤       │yn(),ynf(),ynl()                   │ Thread safety │ MT-Safe │       └──────────────────────────────────────┴───────────────┴─────────┘

STANDARDS top

y0()y1()yn()   POSIX.1-2008.       Others:              BSD.

HISTORY top

y0()y1()yn()   SVr4, 4.3BSD, POSIX.1-2001.       Others:              BSD.

BUGS top

       Before glibc 2.19, these functions misdiagnosed pole errors:errno       was set toEDOM, instead ofERANGEand noFE_DIVBYZEROexception       was raised.       Before glibc 2.17, did not seterrno for "range error: result       underflow".       In glibc 2.3.2 and earlier, these functions do not raise an       invalid floating-point exception (FE_INVALID) when a domain error       occurs.

COLOPHON top

       This page is part of theman-pages (Linux kernel and C library       user-space interface documentation) project.  Information about       the project can be found at        ⟨https://www.kernel.org/doc/man-pages/⟩.  If you have a bug report       for this manual page, see       ⟨https://git.kernel.org/pub/scm/docs/man-pages/man-pages.git/tree/CONTRIBUTING⟩.       This page was obtained from the tarball man-pages-6.15.tar.gz       fetched from       ⟨https://mirrors.edge.kernel.org/pub/linux/docs/man-pages/⟩ on       2025-08-11.  If you discover any rendering problems in this HTML       version of the page, or you believe there is a better or more up-       to-date source for the page, or you have corrections or       improvements to the information in this COLOPHON (which isnot       part of the original manual page), send a mail to       man-pages@man7.orgLinux man-pages 6.15            2025-05-17y0(3)

Pages that refer to this page:j0(3)

HTML rendering created 2025-09-06 byMichael Kerrisk, author ofThe Linux Programming Interface.

For details of in-depthLinux/UNIX system programming training courses that I teach, lookhere.

Hosting byjambit GmbH.