]> git.ipfire.org Git - thirdparty/glibc.git/blame - sysdeps/ieee754/flt-32/e_acoshf.c
Optimize libm
[thirdparty/glibc.git] / sysdeps / ieee754 / flt-32 / e_acoshf.c
CommitLineData
f7eac6eb
RM
1/* e_acoshf.c -- float version of e_acosh.c.
2 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
3 */
4
5/*
6 * ====================================================
7 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
8 *
9 * Developed at SunPro, a Sun Microsystems, Inc. business.
10 * Permission to use, copy, modify, and distribute this
0ac5ae23 11 * software is freely granted, provided that this notice
f7eac6eb
RM
12 * is preserved.
13 * ====================================================
14 */
15
16#if defined(LIBM_SCCS) && !defined(lint)
17static char rcsid[] = "$NetBSD: e_acoshf.c,v 1.5 1995/05/12 04:57:20 jtc Exp $";
18#endif
19
20#include "math.h"
21#include "math_private.h"
22
23#ifdef __STDC__
0ac5ae23 24static const float
f7eac6eb 25#else
0ac5ae23 26static float
f7eac6eb
RM
27#endif
28one = 1.0,
29ln2 = 6.9314718246e-01; /* 0x3f317218 */
30
31#ifdef __STDC__
32 float __ieee754_acoshf(float x)
33#else
34 float __ieee754_acoshf(x)
35 float x;
36#endif
0ac5ae23 37{
f7eac6eb
RM
38 float t;
39 int32_t hx;
40 GET_FLOAT_WORD(hx,x);
41 if(hx<0x3f800000) { /* x < 1 */
42 return (x-x)/(x-x);
43 } else if(hx >=0x4d800000) { /* x > 2**28 */
44 if(hx >=0x7f800000) { /* x is inf of NaN */
0ac5ae23
UD
45 return x+x;
46 } else
f7eac6eb
RM
47 return __ieee754_logf(x)+ln2; /* acosh(huge)=log(2x) */
48 } else if (hx==0x3f800000) {
49 return 0.0; /* acosh(1) = 0 */
50 } else if (hx > 0x40000000) { /* 2**28 > x > 2 */
51 t=x*x;
52 return __ieee754_logf((float)2.0*x-one/(x+__ieee754_sqrtf(t-one)));
53 } else { /* 1<x<2 */
54 t = x-one;
55 return __log1pf(t+__sqrtf((float)2.0*t+t*t));
56 }
57}
0ac5ae23 58strong_alias (__ieee754_acoshf, __acoshf_finite)