| 1 | /* w_jnl.c -- long double version of w_jn.c. | 
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| 2 | * Conversion to long double by Ulrich Drepper, | 
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| 3 | * Cygnus Support, drepper@cygnus.com. | 
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| 4 | */ | 
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| 5 |  | 
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| 6 | /* | 
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| 7 | * ==================================================== | 
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| 8 | * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. | 
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| 9 | * | 
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| 10 | * Developed at SunPro, a Sun Microsystems, Inc. business. | 
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| 11 | * Permission to use, copy, modify, and distribute this | 
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| 12 | * software is freely granted, provided that this notice | 
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| 13 | * is preserved. | 
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| 14 | * ==================================================== | 
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| 15 | */ | 
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| 16 |  | 
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| 17 | #if defined(LIBM_SCCS) && !defined(lint) | 
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| 18 | static char rcsid[] = "$NetBSD: $"; | 
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| 19 | #endif | 
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| 20 |  | 
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| 21 | /* | 
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| 22 | * wrapper jn(int n, double x), yn(int n, double x) | 
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| 23 | * floating point Bessel's function of the 1st and 2nd kind | 
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| 24 | * of order n | 
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| 25 | * | 
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| 26 | * Special cases: | 
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| 27 | *	y0(0)=y1(0)=yn(n,0) = -inf with division by zero signal; | 
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| 28 | *	y0(-ve)=y1(-ve)=yn(n,-ve) are NaN with invalid signal. | 
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| 29 | * Note 2. About jn(n,x), yn(n,x) | 
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| 30 | *	For n=0, j0(x) is called, | 
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| 31 | *	for n=1, j1(x) is called, | 
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| 32 | *	for n<x, forward recursion us used starting | 
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| 33 | *	from values of j0(x) and j1(x). | 
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| 34 | *	for n>x, a continued fraction approximation to | 
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| 35 | *	j(n,x)/j(n-1,x) is evaluated and then backward | 
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| 36 | *	recursion is used starting from a supposed value | 
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| 37 | *	for j(n,x). The resulting value of j(0,x) is | 
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| 38 | *	compared with the actual value to correct the | 
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| 39 | *	supposed value of j(n,x). | 
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| 40 | * | 
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| 41 | *	yn(n,x) is similar in all respects, except | 
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| 42 | *	that forward recursion is used for all | 
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| 43 | *	values of n>1. | 
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| 44 | * | 
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| 45 | */ | 
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| 46 |  | 
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| 47 | #include <math.h> | 
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| 48 | #include <math_private.h> | 
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| 49 | #include <math-svid-compat.h> | 
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| 50 | #include <libm-alias-ldouble.h> | 
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| 51 |  | 
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| 52 | #if LIBM_SVID_COMPAT | 
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| 53 | long double __jnl(int n, long double x)	/* wrapper jnl */ | 
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| 54 | { | 
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| 55 | # ifdef _IEEE_LIBM | 
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| 56 | return __ieee754_jnl(n,x); | 
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| 57 | # else | 
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| 58 | long double z; | 
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| 59 | z = __ieee754_jnl(n,x); | 
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| 60 | if (_LIB_VERSION == _IEEE_ | 
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| 61 | || _LIB_VERSION == _POSIX_ | 
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| 62 | || isnan(x)) | 
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| 63 | return z; | 
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| 64 | if(fabsl(x)>X_TLOSS) { | 
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| 65 | return __kernel_standard_l((double)n,x,238); /* jn(|x|>X_TLOSS,n) */ | 
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| 66 | } else | 
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| 67 | return z; | 
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| 68 | # endif | 
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| 69 | } | 
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| 70 | libm_alias_ldouble (__jn, jn) | 
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| 71 |  | 
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| 72 | long double __ynl(int n, long double x)	/* wrapper ynl */ | 
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| 73 | { | 
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| 74 | # ifdef _IEEE_LIBM | 
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| 75 | return __ieee754_ynl(n,x); | 
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| 76 | # else | 
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| 77 | long double z; | 
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| 78 | z = __ieee754_ynl(n,x); | 
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| 79 | if(_LIB_VERSION == _IEEE_ || isnan(x) ) return z; | 
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| 80 | if(x <= 0.0){ | 
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| 81 | if(x==0.0) | 
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| 82 | /* d= -one/(x-x); */ | 
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| 83 | return __kernel_standard_l((double)n,x,212); | 
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| 84 | else | 
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| 85 | /* d = zero/(x-x); */ | 
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| 86 | return __kernel_standard_l((double)n,x,213); | 
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| 87 | } | 
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| 88 | if(x>X_TLOSS && _LIB_VERSION != _POSIX_) { | 
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| 89 | return __kernel_standard_l((double)n,x,239); /* yn(x>X_TLOSS,n) */ | 
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| 90 | } else | 
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| 91 | return z; | 
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| 92 | # endif | 
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| 93 | } | 
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| 94 | libm_alias_ldouble (__yn, yn) | 
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| 95 | #endif | 
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| 96 |  | 
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