diff options
| -rw-r--r-- | sysdeps/ieee754/ldbl-128/s_asinhl.c | 87 |
1 files changed, 87 insertions, 0 deletions
diff --git a/sysdeps/ieee754/ldbl-128/s_asinhl.c b/sysdeps/ieee754/ldbl-128/s_asinhl.c new file mode 100644 index 0000000000..98ad83040d --- /dev/null +++ b/sysdeps/ieee754/ldbl-128/s_asinhl.c @@ -0,0 +1,87 @@ +/* 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 = 1.0L, + ln2 = 6.931471805599453094172321214581765681e-1L, + huge = 1.0e+4900L; + +#ifdef __STDC__ +long double +__asinhl (long double x) +#else +long double +__asinhl (x) + long double x; +#endif +{ + long double t, w; + int32_t ix, sign; + ieee854_long_double_shape_type u; + + u.value = x; + sign = u.parts32.w0; + ix = sign & 0x7fffffff; + if (ix == 0x7fff0000) + return x + x; /* x is inf or NaN */ + if (ix < 0x3fc70000) + { /* |x| < 2^ -56 */ + if (huge + x > one) + return x; /* return x inexact except 0 */ + } + u.parts32.w0 = ix; + if (ix > 0x40350000) + { /* |x| > 2 ^ 54 */ + w = __ieee754_logl (u.value) + ln2; + } + else if (ix >0x40000000) + { /* 2^ 54 > |x| > 2.0 */ + t = u.value; + w = __ieee754_logl (2.0 * t + one / (__ieee754_sqrtl (x * x + one) + t)); + } + else + { /* 2.0 > |x| > 2 ^ -56 */ + t = x * x; + w = __log1pl (u.value + t / (one + __ieee754_sqrtl (one + t))); + } + if (sign & 0x80000000) + return -w; + else + return w; +} +weak_alias (__asinhl, asinhl) |