glibc/sysdeps/ieee754/ldbl-128/e_acoshl.c
Paul E. Murphy 02bbfb414f ldbl-128: Use L(x) macro for long double constants
This runs the attached sed script against these files using
a regex which aggressively matches long double literals
when not obviously part of a comment.

Likewise, 5 digit or less integral constants are replaced
with integer constants, excepting the two cases of 0 used
in large tables, which are also the only integral values
of the form x.0*E0L encountered within these converted
files.

Likewise, -L(x) is transformed into L(-x).

Naturally, the script has a few minor hiccups which are
more clearly remedied via the attached fixup patch.  Such
hiccups include, context-sensitive promotion to a real
type, and munging constants inside harder to detect
comment blocks.
2016-09-13 15:33:59 -05:00

62 lines
1.7 KiB
C

/* e_acoshl.c -- long double version of e_acosh.c.
* Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz.
*/
/*
* ====================================================
* 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.
* ====================================================
*/
/* __ieee754_acoshl(x)
* Method :
* Based on
* acoshl(x) = logl [ x + sqrtl(x*x-1) ]
* we have
* acoshl(x) := logl(x)+ln2, if x is large; else
* acoshl(x) := logl(2x-1/(sqrtl(x*x-1)+x)) if x>2; else
* acoshl(x) := log1pl(t+sqrtl(2.0*t+t*t)); where t=x-1.
*
* Special cases:
* acoshl(x) is NaN with signal if x<1.
* acoshl(NaN) is NaN without signal.
*/
#include <math.h>
#include <math_private.h>
static const _Float128
one = 1.0,
ln2 = L(0.6931471805599453094172321214581766);
_Float128
__ieee754_acoshl(_Float128 x)
{
_Float128 t;
u_int64_t lx;
int64_t hx;
GET_LDOUBLE_WORDS64(hx,lx,x);
if(hx<0x3fff000000000000LL) { /* x < 1 */
return (x-x)/(x-x);
} else if(hx >=0x4035000000000000LL) { /* x > 2**54 */
if(hx >=0x7fff000000000000LL) { /* x is inf of NaN */
return x+x;
} else
return __ieee754_logl(x)+ln2; /* acoshl(huge)=logl(2x) */
} else if(((hx-0x3fff000000000000LL)|lx)==0) {
return 0; /* acosh(1) = 0 */
} else if (hx > 0x4000000000000000LL) { /* 2**28 > x > 2 */
t=x*x;
return __ieee754_logl(2*x-one/(x+__ieee754_sqrtl(t-one)));
} else { /* 1<x<2 */
t = x-one;
return __log1pl(t+__sqrtl(2*t+t*t));
}
}
strong_alias (__ieee754_acoshl, __acoshl_finite)