summaryrefslogtreecommitdiff
path: root/sysdeps/libm-ieee754/s_tanhl.c
diff options
context:
space:
mode:
Diffstat (limited to 'sysdeps/libm-ieee754/s_tanhl.c')
-rw-r--r--sysdeps/libm-ieee754/s_tanhl.c91
1 files changed, 91 insertions, 0 deletions
diff --git a/sysdeps/libm-ieee754/s_tanhl.c b/sysdeps/libm-ieee754/s_tanhl.c
new file mode 100644
index 0000000000..984f67108b
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_tanhl.c
@@ -0,0 +1,91 @@
+/* s_tanhl.c -- long double version of s_tanh.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
+
+/* tanhl(x)
+ * Return the Hyperbolic Tangent of x
+ *
+ * Method :
+ * x -x
+ * e - e
+ * 0. tanhl(x) is defined to be -----------
+ * x -x
+ * e + e
+ * 1. reduce x to non-negative by tanhl(-x) = -tanhl(x).
+ * 2. 0 <= x <= 2**-55 : tanhl(x) := x*(one+x)
+ * -t
+ * 2**-55 < x <= 1 : tanhl(x) := -----; t = expm1l(-2x)
+ * t + 2
+ * 2
+ * 1 <= x <= 23.0 : tanhl(x) := 1- ----- ; t=expm1l(2x)
+ * t + 2
+ * 23.0 < x <= INF : tanhl(x) := 1.
+ *
+ * Special cases:
+ * tanhl(NaN) is NaN;
+ * only tanhl(0)=0 is exact for finite argument.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double one=1.0, two=2.0, tiny = 1.0e-16380L;
+#else
+static long double one=1.0, two=2.0, tiny = 1.0e-16380L;
+#endif
+
+#ifdef __STDC__
+ long double __tanhl(long double x)
+#else
+ long double __tanhl(x)
+ long double x;
+#endif
+{
+ long double t,z;
+ int32_t se,j0,j1,ix;
+
+ /* High word of |x|. */
+ GET_LDOUBLE_WORDS(se,j0,j1,x);
+ ix = se&0x7fff;
+
+ /* x is INF or NaN */
+ if(ix==0x7fff) {
+ if (se>=0x7fff) return one/x+one; /* tanhl(+-inf)=+-1 */
+ else return one/x-one; /* tanhl(NaN) = NaN */
+ }
+
+ /* |x| < 23 */
+ if (ix < 0x4003 || (ix == 0x4003 && j0 < 0xb8000000)) { /* |x|<23 */
+ if (ix<0x3fc8) /* |x|<2**-55 */
+ return x*(one+x); /* tanh(small) = small */
+ if (ix>=0x3fff) { /* |x|>=1 */
+ t = __expm1l(two*fabsl(x));
+ z = one - two/(t+two);
+ } else {
+ t = __expm1l(-two*fabsl(x));
+ z= -t/(t+two);
+ }
+ /* |x| > 23, return +-1 */
+ } else {
+ z = one - tiny; /* raised inexact flag */
+ }
+ return (se>0x7fff)? z: -z;
+}
+weak_alias (__tanhl, tanhl)