math/w_jnl_compat.c

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