diff options
Diffstat (limited to 'sysdeps/libm-ieee754/s_asinhl.c')
| -rw-r--r-- | sysdeps/libm-ieee754/s_asinhl.c | 70 |
1 files changed, 70 insertions, 0 deletions
diff --git a/sysdeps/libm-ieee754/s_asinhl.c b/sysdeps/libm-ieee754/s_asinhl.c new file mode 100644 index 0000000000..823288a1a0 --- /dev/null +++ b/sysdeps/libm-ieee754/s_asinhl.c @@ -0,0 +1,70 @@ +/* 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 "math.h" +#include "math_private.h" + +#ifdef __STDC__ +static const long double +#else +static long double +#endif +one = 1.000000000000000000000e+00L, /* 0x3FFF, 0x00000000, 0x00000000 */ +ln2 = 6.931471805599453094287e-01L, /* 0x3FFE, 0xB17217F7, 0xD1CF79AC */ +huge= 1.000000000000000000e+16380L; + +#ifdef __STDC__ + long double __asinhl(long double x) +#else + long double __asinhl(x) + long double x; +#endif +{ + long double t,w; + int32_t hx,ix; + GET_LDOUBLE_EXP(hx,x); + ix = hx&0x7fff; + if(ix==0x7fff) return x+x; /* x is inf or NaN */ + if(ix< 0x3fde) { /* |x|<2**-34 */ + if(huge+x>one) return x; /* return x inexact except 0 */ + } + if(ix>0x4020) { /* |x| > 2**34 */ + w = __ieee754_logl(fabsl(x))+ln2; + } else if (ix>0x4000) { /* 2**34 > |x| > 2.0 */ + t = fabsl(x); + w = __ieee754_logl(2.0*t+one/(__ieee754_sqrtl(x*x+one)+t)); + } else { /* 2.0 > |x| > 2**-28 */ + t = x*x; + w =__log1pl(fabsl(x)+t/(one+__ieee754_sqrtl(one+t))); + } + if(hx>0x7fff) return w; else return -w; +} +weak_alias (__asinhl, asinhl) |