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1/* @(#)w_jn.c 5.1 93/09/24 */
2/*
3 * ====================================================
4 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
5 *
6 * Developed at SunPro, a Sun Microsystems, Inc. business.
7 * Permission to use, copy, modify, and distribute this
cccda09f 8 * software is freely granted, provided that this notice
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9 * is preserved.
10 * ====================================================
11 */
12
13#if defined(LIBM_SCCS) && !defined(lint)
14static char rcsid[] = "$NetBSD: w_jn.c,v 1.6 1995/05/10 20:49:19 jtc Exp $";
15#endif
16
17/*
18 * wrapper jn(int n, double x), yn(int n, double x)
19 * floating point Bessel's function of the 1st and 2nd kind
20 * of order n
cccda09f 21 *
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22 * Special cases:
23 * y0(0)=y1(0)=yn(n,0) = -inf with division by zero signal;
24 * y0(-ve)=y1(-ve)=yn(n,-ve) are NaN with invalid signal.
25 * Note 2. About jn(n,x), yn(n,x)
26 * For n=0, j0(x) is called,
27 * for n=1, j1(x) is called,
28 * for n<x, forward recursion us used starting
29 * from values of j0(x) and j1(x).
30 * for n>x, a continued fraction approximation to
31 * j(n,x)/j(n-1,x) is evaluated and then backward
32 * recursion is used starting from a supposed value
33 * for j(n,x). The resulting value of j(0,x) is
34 * compared with the actual value to correct the
35 * supposed value of j(n,x).
36 *
37 * yn(n,x) is similar in all respects, except
38 * that forward recursion is used for all
39 * values of n>1.
cccda09f 40 *
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41 */
42
43#include "math.h"
44#include "math_private.h"
45
46#ifdef __STDC__
47 double __jn(int n, double x) /* wrapper jn */
48#else
49 double __jn(n,x) /* wrapper jn */
50 double x; int n;
51#endif
52{
53#ifdef _IEEE_LIBM
54 return __ieee754_jn(n,x);
55#else
56 double z;
57 z = __ieee754_jn(n,x);
58 if(_LIB_VERSION == _IEEE_ || __isnan(x) ) return z;
59 if(fabs(x)>X_TLOSS) {
60 return __kernel_standard((double)n,x,38); /* jn(|x|>X_TLOSS,n) */
61 } else
62 return z;
63#endif
64}
65weak_alias (__jn, jn)
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66#ifdef NO_LONG_DOUBLE
67strong_alias (__jn, __jnl)
68weak_alias (__jn, jnl)
69#endif
70
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71
72#ifdef __STDC__
73 double __yn(int n, double x) /* wrapper yn */
74#else
75 double __yn(n,x) /* wrapper yn */
76 double x; int n;
77#endif
78{
79#ifdef _IEEE_LIBM
80 return __ieee754_yn(n,x);
81#else
82 double z;
83 z = __ieee754_yn(n,x);
84 if(_LIB_VERSION == _IEEE_ || __isnan(x) ) return z;
85 if(x <= 0.0){
86 if(x==0.0)
87 /* d= -one/(x-x); */
88 return __kernel_standard((double)n,x,12);
89 else
90 /* d = zero/(x-x); */
91 return __kernel_standard((double)n,x,13);
92 }
93 if(x>X_TLOSS) {
94 return __kernel_standard((double)n,x,39); /* yn(x>X_TLOSS,n) */
95 } else
96 return z;
97#endif
98}
99weak_alias (__yn, yn)
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100#ifdef NO_LONG_DOUBLE
101strong_alias (__yn, __ynl)
102weak_alias (__yn, ynl)
103#endif