1 /* w_jnl.c -- long double version of w_jn.c.
2  * Conversion to long double by Ulrich Drepper,
3  * Cygnus Support, drepper@cygnus.com.
4  */
5 
6 /*
7  * ====================================================
8  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
9  *
10  * Developed at SunPro, a Sun Microsystems, Inc. business.
11  * Permission to use, copy, modify, and distribute this
12  * software is freely granted, provided that this notice
13  * is preserved.
14  * ====================================================
15  */
16 
17 #if defined(LIBM_SCCS) && !defined(lint)
18 static char rcsid[] = "$NetBSD: $";
19 #endif
20 
21 /*
22  * wrapper jn(int n, double x), yn(int n, double x)
23  * floating point Bessel's function of the 1st and 2nd kind
24  * of order n
25  *
26  * Special cases:
27  *	y0(0)=y1(0)=yn(n,0) = -inf with division by zero signal;
28  *	y0(-ve)=y1(-ve)=yn(n,-ve) are NaN with invalid signal.
29  * Note 2. About jn(n,x), yn(n,x)
30  *	For n=0, j0(x) is called,
31  *	for n=1, j1(x) is called,
32  *	for n<x, forward recursion us used starting
33  *	from values of j0(x) and j1(x).
34  *	for n>x, a continued fraction approximation to
35  *	j(n,x)/j(n-1,x) is evaluated and then backward
36  *	recursion is used starting from a supposed value
37  *	for j(n,x). The resulting value of j(0,x) is
38  *	compared with the actual value to correct the
39  *	supposed value of j(n,x).
40  *
41  *	yn(n,x) is similar in all respects, except
42  *	that forward recursion is used for all
43  *	values of n>1.
44  *
45  */
46 
47 #include <math.h>
48 #include "math_private.h"
49 
50 #if !defined __NO_LONG_DOUBLE_MATH
51 # ifndef __DO_XSI_MATH__
52 long double
jnl(int n,long double x)53 jnl(int n, long double x)	/* wrapper jnl */
54 {
55 #  if defined(__UCLIBC_HAS_FENV__)
56 	long double z;
57 	z = (long double) __ieee754_jn(n, (double) x);
58 	if (_LIB_VERSION == _IEEE_
59 	    || _LIB_VERSION == _POSIX_
60 	    || isnan(x))
61 	  return z;
62 	if(fabsl(x)>X_TLOSS) {
63 	    return __kernel_standard_l((double)n,x,238); /* jn(|x|>X_TLOSS,n) */
64 	} else
65 		return z;
66 #  else
67 	return (long double) __ieee754_jn(n, (double) x);
68 #  endif /* __UCLIBC_HAS_FENV__ */
69 }
70 
71 long double
ynl(int n,long double x)72 ynl(int n, long double x)	/* wrapper ynl */
73 {
74 #  if defined(__UCLIBC_HAS_FENV__)
75 	long double z;
76 	z = (long double) __ieee754_yn(n,(double) x);
77 	if(_LIB_VERSION == _IEEE_ || isnan(x) ) return z;
78         if(x <= 0.0){
79                 if(x==0.0)
80                     /* d= -one/(x-x); */
81                     return __kernel_standard_l((double)n,x,212);
82                 else
83                     /* d = zero/(x-x); */
84                     return __kernel_standard_l((double)n,x,213);
85         }
86 	if(x>X_TLOSS && _LIB_VERSION != _POSIX_) {
87 	    return __kernel_standard_l((double)n,x,239); /* yn(x>X_TLOSS,n) */
88 	} else
89 		return z;
90 #  else
91 	return (long double) __ieee754_yn(n,(double) x);
92 #  endif /* __UCLIBC_HAS_FENV__ */
93 }
94 # endif /* __DO_XSI_MATH__ */
95 #endif /* __NO_LONG_DOUBLE_MATH */
96