X-Git-Url: http://nsz.repo.hu/git/?a=blobdiff_plain;f=src%2Fmath%2Fsinh.c;fp=src%2Fmath%2Fsinh.c;h=935879c5e0eceeae1dde49e3a53bd8e092ab16b4;hb=b69f695acedd4ce2798ef9ea28d834ceccc789bd;hp=0000000000000000000000000000000000000000;hpb=d46cf2e14cc4df7cc75e77d7009fcb6df1f48a33;p=musl

diff --git a/src/math/sinh.c b/src/math/sinh.c
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--- /dev/null
+++ b/src/math/sinh.c
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+/* origin: FreeBSD /usr/src/lib/msun/src/e_sinh.c */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/* sinh(x)
+ * Method :
+ * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2
+ *      1. Replace x by |x| (sinh(-x) = -sinh(x)).
+ *      2.
+ *                                                  E + E/(E+1)
+ *          0        <= x <= 22     :  sinh(x) := --------------, E=expm1(x)
+ *                                                      2
+ *
+ *          22       <= x <= lnovft :  sinh(x) := exp(x)/2
+ *          lnovft   <= x <= ln2ovft:  sinh(x) := exp(x/2)/2 * exp(x/2)
+ *          ln2ovft  <  x           :  sinh(x) := x*shuge (overflow)
+ *
+ * Special cases:
+ *      sinh(x) is |x| if x is +INF, -INF, or NaN.
+ *      only sinh(0)=0 is exact for finite x.
+ */
+
+#include "libm.h"
+
+static const double one = 1.0, huge = 1.0e307;
+
+double sinh(double x)
+{
+	double t, h;
+	int32_t ix, jx;
+
+	/* High word of |x|. */
+	GET_HIGH_WORD(jx, x);
+	ix = jx & 0x7fffffff;
+
+	/* x is INF or NaN */
+	if (ix >= 0x7ff00000)
+		return x + x;
+
+	h = 0.5;
+	if (jx < 0) h = -h;
+	/* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
+	if (ix < 0x40360000) {  /* |x|<22 */
+		if (ix < 0x3e300000)  /* |x|<2**-28 */
+			/* raise inexact, return x */
+			if (huge+x > one)
+				return x;
+		t = expm1(fabs(x));
+		if (ix < 0x3ff00000)
+			return h*(2.0*t - t*t/(t+one));
+		return h*(t + t/(t+one));
+	}
+
+	/* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
+	if (ix < 0x40862E42)
+		return h*exp(fabs(x));
+
+	/* |x| in [log(maxdouble), overflowthresold] */
+	if (ix <= 0x408633CE)
+		return h * 2.0 * __expo2(fabs(x)); /* h is for sign only */
+
+	/* |x| > overflowthresold, sinh(x) overflow */
+	return x*huge;
+}