-/* origin: OpenBSD /usr/src/lib/libm/src/ld80/e_sinhl.c */
-/*
- * ====================================================
- * 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.
- * ====================================================
- */
-/* sinhl(x)
- * Method :
- * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2
- * 1. Replace x by |x| (sinhl(-x) = -sinhl(x)).
- * 2.
- * E + E/(E+1)
- * 0 <= x <= 25 : sinhl(x) := --------------, E=expm1l(x)
- * 2
- *
- * 25 <= x <= lnovft : sinhl(x) := expl(x)/2
- * lnovft <= x <= ln2ovft: sinhl(x) := expl(x/2)/2 * expl(x/2)
- * ln2ovft < x : sinhl(x) := x*huge (overflow)
- *
- * Special cases:
- * sinhl(x) is |x| if x is +INF, -INF, or NaN.
- * only sinhl(0)=0 is exact for finite x.
- */
-
#include "libm.h"
#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
return sinh(x);
}
#elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
-static const long double one = 1.0, huge = 1.0e4931L;
-
long double sinhl(long double x)
{
- long double t,w,h;
- uint32_t jx,ix,i0,i1;
-
- /* Words of |x|. */
- GET_LDOUBLE_WORDS(jx, i0, i1, x);
- ix = jx & 0x7fff;
-
- /* x is INF or NaN */
- if (ix == 0x7fff) return x + x;
+ union ldshape u = {x};
+ unsigned ex = u.i.se & 0x7fff;
+ long double h, t, absx;
h = 0.5;
- if (jx & 0x8000)
+ if (u.i.se & 0x8000)
h = -h;
- /* |x| in [0,25], return sign(x)*0.5*(E+E/(E+1))) */
- if (ix < 0x4003 || (ix == 0x4003 && i0 <= 0xc8000000)) { /* |x| < 25 */
- if (ix < 0x3fdf) /* |x|<2**-32 */
- if (huge + x > one)
- return x;/* sinh(tiny) = tiny with inexact */
- t = expm1l(fabsl(x));
- if (ix < 0x3fff)
- return h*(2.0*t - t*t/(t + one));
- return h*(t + t/(t + one));
+ /* |x| */
+ u.i.se = ex;
+ absx = u.f;
+
+ /* |x| < log(LDBL_MAX) */
+ if (ex < 0x3fff+13 || (ex == 0x3fff+13 && u.i.m>>32 < 0xb17217f7)) {
+ t = expm1l(absx);
+ if (ex < 0x3fff) {
+ if (ex < 0x3fff-32)
+ return x;
+ return h*(2*t - t*t/(1+t));
+ }
+ return h*(t + t/(t+1));
}
- /* |x| in [25, log(maxdouble)] return 0.5*exp(|x|) */
- if (ix < 0x400c || (ix == 0x400c && i0 < 0xb17217f7))
- return h*expl(fabsl(x));
-
- /* |x| in [log(maxdouble), overflowthreshold] */
- if (ix < 0x400c || (ix == 0x400c && (i0 < 0xb174ddc0 ||
- (i0 == 0xb174ddc0 && i1 <= 0x31aec0ea)))) {
- w = expl(0.5*fabsl(x));
- t = h*w;
- return t*w;
- }
-
- /* |x| > overflowthreshold, sinhl(x) overflow */
- return x*huge;
+ /* |x| > log(LDBL_MAX) or nan */
+ t = expl(0.5*absx);
+ return h*t*t;
+}
+#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384
+// TODO: broken implementation to make things compile
+long double sinhl(long double x)
+{
+ return sinh(x);
}
#endif