math/w_jnl_compat.c

   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 #include <math-svid-compat.h>
  50 #include <libm-alias-ldouble.h>
  51
  52 #if LIBM_SVID_COMPAT
  53 long double __jnl(int n, long double x) /* wrapper jnl */
  54 {
  55 # ifdef _IEEE_LIBM
  56         return __ieee754_jnl(n,x);
  57 # else
  58         long double z;
  59         z = __ieee754_jnl(n,x);
  60         if (_LIB_VERSION == _IEEE_
  61             || _LIB_VERSION == _POSIX_
  62             || isnan(x))
  63           return z;
  64         if(fabsl(x)>X_TLOSS) {
  65             return __kernel_standard_l((double)n,x,238); /* jn(|x|>X_TLOSS,n) */
  66         } else
  67             return z;
  68 # endif
  69 }
  70 libm_alias_ldouble (__jn, jn)
  71
  72 long double __ynl(int n, long double x) /* wrapper ynl */
  73 {
  74 # ifdef _IEEE_LIBM
  75         return __ieee754_ynl(n,x);
  76 # else
  77         long double z;
  78         z = __ieee754_ynl(n,x);
  79         if(_LIB_VERSION == _IEEE_ || isnan(x) ) return z;
  80         if(x <= 0.0){
  81                 if(x==0.0)
  82                     /* d= -one/(x-x); */
  83                     return __kernel_standard_l((double)n,x,212);
  84                 else
  85                     /* d = zero/(x-x); */
  86                     return __kernel_standard_l((double)n,x,213);
  87         }
  88         if(x>X_TLOSS && _LIB_VERSION != _POSIX_) {
  89             return __kernel_standard_l((double)n,x,239); /* yn(x>X_TLOSS,n) */
  90         } else
  91             return z;
  92 # endif
  93 }
  94 libm_alias_ldouble (__yn, yn)
  95 #endif