| /* s_asinhl.c -- long double version of s_asinh.c. |
| * Conversion to long double by Ulrich Drepper, |
| * Cygnus Support, drepper@cygnus.com. |
| */ |
| |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| |
| #if defined(LIBM_SCCS) && !defined(lint) |
| static char rcsid[] = "$NetBSD: $"; |
| #endif |
| |
| /* asinhl(x) |
| * Method : |
| * Based on |
| * asinhl(x) = signl(x) * logl [ |x| + sqrtl(x*x+1) ] |
| * we have |
| * asinhl(x) := x if 1+x*x=1, |
| * := signl(x)*(logl(x)+ln2)) for large |x|, else |
| * := signl(x)*logl(2|x|+1/(|x|+sqrtl(x*x+1))) if|x|>2, else |
| * := signl(x)*log1pl(|x| + x^2/(1 + sqrtl(1+x^2))) |
| */ |
| |
| #include <float.h> |
| #include <math.h> |
| #include <math_private.h> |
| #include <libm-alias-ldouble.h> |
| |
| static const long double |
| one = 1.000000000000000000000e+00L, /* 0x3FFF, 0x00000000, 0x00000000 */ |
| ln2 = 6.931471805599453094287e-01L, /* 0x3FFE, 0xB17217F7, 0xD1CF79AC */ |
| huge= 1.000000000000000000e+4900L; |
| |
| long double __asinhl(long double x) |
| { |
| long double t,w; |
| int32_t hx,ix; |
| GET_LDOUBLE_EXP(hx,x); |
| ix = hx&0x7fff; |
| if(__builtin_expect(ix< 0x3fde, 0)) { /* |x|<2**-34 */ |
| math_check_force_underflow (x); |
| if(huge+x>one) return x; /* return x inexact except 0 */ |
| } |
| if(__builtin_expect(ix>0x4020,0)) { /* |x| > 2**34 */ |
| if(ix==0x7fff) return x+x; /* x is inf or NaN */ |
| w = __ieee754_logl(fabsl(x))+ln2; |
| } else { |
| long double xa = fabsl(x); |
| if (ix>0x4000) { /* 2**34 > |x| > 2.0 */ |
| w = __ieee754_logl(2.0*xa+one/(__ieee754_sqrtl(xa*xa+one)+xa)); |
| } else { /* 2.0 > |x| > 2**-28 */ |
| t = xa*xa; |
| w =__log1pl(xa+t/(one+__ieee754_sqrtl(one+t))); |
| } |
| } |
| return __copysignl(w, x); |
| } |
| libm_alias_ldouble (__asinh, asinh) |