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man:y0f

Y0(3) Linux Programmer's Manual Y0(3)

NAME

     y0, y0f, y0l, y1, y1f, y1l, yn, ynf, ynl - Bessel functions of the sec-
     ond 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 x of the  second
     kind  of  orders  0 and 1, respectively.  The yn() function returns the
     Bessel function of x of the second kind of order n.
     The value of x must be positive.
     The y0f(), y1f(), and ynf() functions are versions that take and return
     float  values.  The y0l(), y1l(), and ynl() functions are versions that
     take and return long double values.

RETURN VALUE

     On success, these functions return the appropriate Bessel value of  the
     second kind for x.
     If x is a NaN, a NaN is returned.
     If  x  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.)
     If  x  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

     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
            errno is set  to  EDOM.   An  invalid  floating-point  exception
            (FE_INVALID) is raised.
     Pole error: x is 0.0
            errno  is  set to ERANGE (but see BUGS).  No FE_DIVBYZERO excep-
            tion is returned by fetestexcept(3) for this case.
     Range error: result underflow
            errno is set to ERANGE.  No FE_UNDERFLOW exception  is  returned
            by fetestexcept(3) for this case.
     Range error: result overflow
            errno  is  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).
     allbox;  lb  lb  lb  l  l l.  Interface Attribute Value T{ y0(), y0f(),
     y0l() T}   Thread safety  MT-Safe T{  y1(),  y1f(),  y1l()  T}   Thread
     safety  MT-Safe T{ yn(), ynf(), ynl() T}   Thread safety  MT-Safe

CONFORMING TO

     The  functions  returning double conform 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 errno to EDOM, instead of ERANGE
     as 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)

COLOPHON

     This page is part of release 4.16 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/.
                                2017-09-15                             Y0(3)
/data/webs/external/dokuwiki/data/pages/man/y0f.txt · Last modified: 2019/05/17 09:47 by 127.0.0.1

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