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Diffstat (limited to 'sysdeps/ieee754/ldbl-96/e_sinhl.c')
-rw-r--r--sysdeps/ieee754/ldbl-96/e_sinhl.c91
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diff --git a/sysdeps/ieee754/ldbl-96/e_sinhl.c b/sysdeps/ieee754/ldbl-96/e_sinhl.c
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+++ b/sysdeps/ieee754/ldbl-96/e_sinhl.c
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+/* e_asinhl.c -- long double version of e_asinh.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * 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: $";
+#endif
+
+/* __ieee754_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*shuge (overflow)
+ *
+ * Special cases:
+ * sinhl(x) is |x| if x is +INF, -INF, or NaN.
+ * only sinhl(0)=0 is exact for finite x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double one = 1.0, shuge = 1.0e4931L;
+#else
+static long double one = 1.0, shuge = 1.0e4931L;
+#endif
+
+#ifdef __STDC__
+ long double __ieee754_sinhl(long double x)
+#else
+ long double __ieee754_sinhl(x)
+ long double x;
+#endif
+{
+ long double t,w,h;
+ u_int32_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;
+
+ h = 0.5;
+ if (jx & 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<0x3fe3) /* |x|<2**-28 */
+ if(shuge+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| in [25, log(maxdouble)] return 0.5*exp(|x|) */
+ if (ix < 0x400c || (ix == 0x400c && i0 < 0xb17217f7))
+ return h*__ieee754_expl(fabsl(x));
+
+ /* |x| in [log(maxdouble), overflowthreshold] */
+ if (ix<0x400c || (ix == 0x400c && (i0 < 0xb174ddc0
+ || (i0 == 0xb174ddc0
+ && i1 <= 0x31aec0ea)))) {
+ w = __ieee754_expl(0.5*fabsl(x));
+ t = h*w;
+ return t*w;
+ }
+
+ /* |x| > overflowthreshold, sinhl(x) overflow */
+ return x*shuge;
+}