📄 w_jn.c
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/* -*- Mode: C; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 4 -*- * * ***** BEGIN LICENSE BLOCK ***** * Version: MPL 1.1/GPL 2.0/LGPL 2.1 * * The contents of this file are subject to the Mozilla Public License Version * 1.1 (the "License"); you may not use this file except in compliance with * the License. You may obtain a copy of the License at * http://www.mozilla.org/MPL/ * * Software distributed under the License is distributed on an "AS IS" basis, * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License * for the specific language governing rights and limitations under the * License. * * The Original Code is Mozilla Communicator client code, released * March 31, 1998. * * The Initial Developer of the Original Code is * Sun Microsystems, Inc. * Portions created by the Initial Developer are Copyright (C) 1998 * the Initial Developer. All Rights Reserved. * * Contributor(s): * * Alternatively, the contents of this file may be used under the terms of * either of the GNU General Public License Version 2 or later (the "GPL"), * or the GNU Lesser General Public License Version 2.1 or later (the "LGPL"), * in which case the provisions of the GPL or the LGPL are applicable instead * of those above. If you wish to allow use of your version of this file only * under the terms of either the GPL or the LGPL, and not to allow others to * use your version of this file under the terms of the MPL, indicate your * decision by deleting the provisions above and replace them with the notice * and other provisions required by the GPL or the LGPL. If you do not delete * the provisions above, a recipient may use your version of this file under * the terms of any one of the MPL, the GPL or the LGPL. * * ***** END LICENSE BLOCK ***** *//* @(#)w_jn.c 1.3 95/01/18 *//* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunSoft, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== *//* * wrapper jn(int n, double x), yn(int n, double x) * floating point Bessel's function of the 1st and 2nd kind * of order n * * Special cases: * y0(0)=y1(0)=yn(n,0) = -inf with division by zero signal; * y0(-ve)=y1(-ve)=yn(n,-ve) are NaN with invalid signal. * Note 2. About jn(n,x), yn(n,x) * For n=0, j0(x) is called, * for n=1, j1(x) is called, * for n<x, forward recursion us used starting * from values of j0(x) and j1(x). * for n>x, a continued fraction approximation to * j(n,x)/j(n-1,x) is evaluated and then backward * recursion is used starting from a supposed value * for j(n,x). The resulting value of j(0,x) is * compared with the actual value to correct the * supposed value of j(n,x). * * yn(n,x) is similar in all respects, except * that forward recursion is used for all * values of n>1. * */#include "fdlibm.h"#ifdef __STDC__ double fd_jn(int n, double x) /* wrapper jn */#else double fd_jn(n,x) /* wrapper jn */ double x; int n;#endif{#ifdef _IEEE_LIBM return __ieee754_jn(n,x);#else double z; z = __ieee754_jn(n,x); if(_LIB_VERSION == _IEEE_ || fd_isnan(x) ) return z; if(fd_fabs(x)>X_TLOSS) { int err; return __kernel_standard((double)n,x,38,&err); /* jn(|x|>X_TLOSS,n) */ } else return z;#endif}#ifdef __STDC__ double yn(int n, double x) /* wrapper yn */#else double yn(n,x) /* wrapper yn */ double x; int n;#endif{#ifdef _IEEE_LIBM return __ieee754_yn(n,x);#else double z; int err; z = __ieee754_yn(n,x); if(_LIB_VERSION == _IEEE_ || fd_isnan(x) ) return z; if(x <= 0.0){ if(x==0.0) /* d= -one/(x-x); */ return __kernel_standard((double)n,x,12,&err); else /* d = zero/(x-x); */ return __kernel_standard((double)n,x,13,&err); } if(x>X_TLOSS) { return __kernel_standard((double)n,x,39,&err); /* yn(x>X_TLOSS,n) */ } else return z;#endif}
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