libm/w_jnl.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
  50 #if !defined __NO_LONG_DOUBLE_MATH
  51 # ifndef __DO_XSI_MATH__
  52 long double
  53 jnl(int n, long double x)       /* wrapper jnl */
  54 {
  55 #  if defined(__UCLIBC_HAS_FENV__)
  56         long double z;
  57         z = (long double) __ieee754_jn(n, (double) 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 #  else
  67         return (long double) __ieee754_jn(n, (double) x);
  68 #  endif /* __UCLIBC_HAS_FENV__ */
  69 }
  70
  71 long double
  72 ynl(int n, long double x)       /* wrapper ynl */
  73 {
  74 #  if defined(__UCLIBC_HAS_FENV__)
  75         long double z;
  76         z = (long double) __ieee754_yn(n,(double) 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 #  else
  91         return (long double) __ieee754_yn(n,(double) x);
  92 #  endif /* __UCLIBC_HAS_FENV__ */
  93 }
  94 # endif /* __DO_XSI_MATH__ */
  95 #endif /* __NO_LONG_DOUBLE_MATH */