diff options
Diffstat (limited to 'REORG.TODO/sysdeps/ieee754/ldbl-128ibm/s_asinhl.c')
-rw-r--r-- | REORG.TODO/sysdeps/ieee754/ldbl-128ibm/s_asinhl.c | 63 |
1 files changed, 63 insertions, 0 deletions
diff --git a/REORG.TODO/sysdeps/ieee754/ldbl-128ibm/s_asinhl.c b/REORG.TODO/sysdeps/ieee754/ldbl-128ibm/s_asinhl.c new file mode 100644 index 0000000000..aa9a9ba213 --- /dev/null +++ b/REORG.TODO/sysdeps/ieee754/ldbl-128ibm/s_asinhl.c @@ -0,0 +1,63 @@ +/* @(#)s_asinh.c 5.1 93/09/24 */ +/* + * ==================================================== + * 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: s_asinh.c,v 1.9 1995/05/12 04:57:37 jtc Exp $"; +#endif + +/* asinh(x) + * Method : + * Based on + * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ] + * we have + * asinh(x) := x if 1+x*x=1, + * := sign(x)*(log(x)+ln2)) for large |x|, else + * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else + * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2))) + */ + +#include <float.h> +#include <math.h> +#include <math_private.h> +#include <math_ldbl_opt.h> + +static const long double +one = 1.00000000000000000000e+00L, /* 0x3ff0000000000000, 0 */ +ln2 = 0.6931471805599453094172321214581766L, /* 0x3fe62e42fefa39ef, 0x3c7abc9e3b398040 */ +huge= 1.00000000000000000000e+300L; + +long double __asinhl(long double x) +{ + long double t,w; + int64_t hx,ix; + double xhi; + + xhi = ldbl_high (x); + EXTRACT_WORDS64 (hx, xhi); + ix = hx&0x7fffffffffffffffLL; + if(ix>=0x7ff0000000000000LL) return x+x; /* x is inf or NaN */ + if(ix< 0x3c70000000000000LL) { /* |x|<2**-56 */ + math_check_force_underflow (x); + if(huge+x>one) return x; /* return x inexact except 0 */ + } + if(ix>0x4370000000000000LL) { /* |x| > 2**56 */ + w = __ieee754_logl(fabsl(x))+ln2; + } else if (ix>0x4000000000000000LL) { /* 2**56 >= |x| > 2.0 */ + t = fabs(x); + w = __ieee754_logl(2.0*t+one/(__ieee754_sqrtl(x*x+one)+t)); + } else { /* 2.0 >= |x| >= 2**-56 */ + t = x*x; + w =__log1pl(fabsl(x)+t/(one+__ieee754_sqrtl(one+t))); + } + if(hx>0) return w; else return -w; +} +long_double_symbol (libm, __asinhl, asinhl); |