1 /* e_asinhl.c -- long double version of e_asinh.c.
2 * Conversion to long double by Ulrich Drepper,
3 * Cygnus Support, drepper@cygnus.com.
7 * ====================================================
8 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
10 * Developed at SunPro, a Sun Microsystems, Inc. business.
11 * Permission to use, copy, modify, and distribute this
12 * software is freely granted, provided that this notice
14 * ====================================================
17 #if defined(LIBM_SCCS) && !defined(lint)
18 static char rcsid[] = "$NetBSD: $";
23 * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2
24 * 1. Replace x by |x| (sinhl(-x) = -sinhl(x)).
27 * 0 <= x <= 25 : sinhl(x) := --------------, E=expm1l(x)
30 * 25 <= x <= lnovft : sinhl(x) := expl(x)/2
31 * lnovft <= x <= ln2ovft: sinhl(x) := expl(x/2)/2 * expl(x/2)
32 * ln2ovft < x : sinhl(x) := x*shuge (overflow)
35 * sinhl(x) is |x| if x is +INF, -INF, or NaN.
36 * only sinhl(0)=0 is exact for finite x.
40 #include "math_private.h"
43 static const long double one = 1.0, shuge = 1.0e4931L;
45 static long double one = 1.0, shuge = 1.0e4931L;
49 long double __ieee754_sinhl(long double x)
51 long double __ieee754_sinhl(x)
56 u_int32_t jx,ix,i0,i1;
59 GET_LDOUBLE_WORDS(jx,i0,i1,x);
63 if(ix==0x7fff) return x+x;
66 if (jx & 0x8000) h = -h;
67 /* |x| in [0,25], return sign(x)*0.5*(E+E/(E+1))) */
68 if (ix < 0x4003 || (ix == 0x4003 && i0 <= 0xc8000000)) { /* |x|<25 */
69 if (ix<0x3fdf) /* |x|<2**-32 */
70 if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
71 t = __expm1l(fabsl(x));
72 if(ix<0x3fff) return h*(2.0*t-t*t/(t+one));
73 return h*(t+t/(t+one));
76 /* |x| in [25, log(maxdouble)] return 0.5*exp(|x|) */
77 if (ix < 0x400c || (ix == 0x400c && i0 < 0xb17217f7))
78 return h*__ieee754_expl(fabsl(x));
80 /* |x| in [log(maxdouble), overflowthreshold] */
81 if (ix<0x400c || (ix == 0x400c && (i0 < 0xb174ddc0
83 && i1 <= 0x31aec0ea)))) {
84 w = __ieee754_expl(0.5*fabsl(x));
89 /* |x| > overflowthreshold, sinhl(x) overflow */