support/fdlibm/w_jn.c
author convert-repo
Tue, 31 Dec 2019 04:28:27 +0000
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/* @(#)w_jn.c 1.3 95/01/18 */
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/*
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 * ====================================================
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 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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 *
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 * Developed at SunSoft, a Sun Microsystems, Inc. business.
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 * Permission to use, copy, modify, and distribute this
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 * software is freely granted, provided that this notice 
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 * is preserved.
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 * ====================================================
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 */
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/*
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 * wrapper jn(int n, double x), yn(int n, double x)
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 * floating point Bessel's function of the 1st and 2nd kind
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 * of order n
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 *          
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 * Special cases:
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 *	y0(0)=y1(0)=yn(n,0) = -inf with division by zero signal;
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 *	y0(-ve)=y1(-ve)=yn(n,-ve) are NaN with invalid signal.
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 * Note 2. About jn(n,x), yn(n,x)
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 *	For n=0, j0(x) is called,
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 *	for n=1, j1(x) is called,
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 *	for n<x, forward recursion us used starting
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 *	from values of j0(x) and j1(x).
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 *	for n>x, a continued fraction approximation to
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 *	j(n,x)/j(n-1,x) is evaluated and then backward
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 *	recursion is used starting from a supposed value
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 *	for j(n,x). The resulting value of j(0,x) is
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 *	compared with the actual value to correct the
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 *	supposed value of j(n,x).
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 *
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 *	yn(n,x) is similar in all respects, except
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 *	that forward recursion is used for all
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 *	values of n>1.
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 *	
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 */
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#include "fdlibm.h"
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#ifdef __STDC__
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	double jn(int n, double x)	/* wrapper jn */
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#else
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	double jn(n,x)			/* wrapper jn */
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	double x; int n;
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#endif
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{
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#ifdef _IEEE_LIBM
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	return __ieee754_jn(n,x);
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#else
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	double z;
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	z = __ieee754_jn(n,x);
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	if(_LIB_VERSION == _IEEE_ || isnan(x) ) return z;
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	if(fabs(x)>X_TLOSS) {
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	    return __kernel_standard((double)n,x,38); /* jn(|x|>X_TLOSS,n) */
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	} else
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	    return z;
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#endif
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}
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#ifdef __STDC__
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	double yn(int n, double x)	/* wrapper yn */
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#else
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	double yn(n,x)			/* wrapper yn */
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	double x; int n;
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#endif
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{
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#ifdef _IEEE_LIBM
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	return __ieee754_yn(n,x);
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#else
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	double z;
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	z = __ieee754_yn(n,x);
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	if(_LIB_VERSION == _IEEE_ || isnan(x) ) return z;
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        if(x <= 0.0){
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                if(x==0.0)
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                    /* d= -one/(x-x); */
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                    return __kernel_standard((double)n,x,12);
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                else
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                    /* d = zero/(x-x); */
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                    return __kernel_standard((double)n,x,13);
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        }
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	if(x>X_TLOSS) {
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	    return __kernel_standard((double)n,x,39); /* yn(x>X_TLOSS,n) */
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	} else
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	    return z;
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#endif
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}