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authorJakub Jelinek <jakub@redhat.com>2007-07-12 18:26:36 +0000
committerJakub Jelinek <jakub@redhat.com>2007-07-12 18:26:36 +0000
commit0ecb606cb6cf65de1d9fc8a919bceb4be476c602 (patch)
tree2ea1f8305970753e4a657acb2ccc15ca3eec8e2c /sysdeps/ieee754/ldbl-128ibm/s_tanhl.c
parent7d58530341304d403a6626d7f7a1913165fe2f32 (diff)
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2.5-18.1
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diff --git a/sysdeps/ieee754/ldbl-128ibm/s_tanhl.c b/sysdeps/ieee754/ldbl-128ibm/s_tanhl.c
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+/* @(#)s_tanh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * 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: s_tanh.c,v 1.7 1995/05/10 20:48:22 jtc Exp $";
+#endif
+
+/* Tanh(x)
+ * Return the Hyperbolic Tangent of x
+ *
+ * Method :
+ * x -x
+ * e - e
+ * 0. tanh(x) is defined to be -----------
+ * x -x
+ * e + e
+ * 1. reduce x to non-negative by tanh(-x) = -tanh(x).
+ * 2. 0 <= x <= 2**-57 : tanh(x) := x*(one+x)
+ * -t
+ * 2**-57 < x <= 1 : tanh(x) := -----; t = expm1(-2x)
+ * t + 2
+ * 2
+ * 1 <= x <= 22.0 : tanh(x) := 1- ----- ; t=expm1(2x)
+ * t + 2
+ * 22.0 < x <= INF : tanh(x) := 1.
+ *
+ * Special cases:
+ * tanh(NaN) is NaN;
+ * only tanh(0)=0 is exact for finite argument.
+ */
+
+#include "math.h"
+#include "math_private.h"
+#include <math_ldbl_opt.h>
+
+#ifdef __STDC__
+static const long double one=1.0L, two=2.0L, tiny = 1.0e-300L;
+#else
+static long double one=1.0L, two=2.0L, tiny = 1.0e-300L;
+#endif
+
+#ifdef __STDC__
+ long double __tanhl(long double x)
+#else
+ long double __tanhl(x)
+ long double x;
+#endif
+{
+ long double t,z;
+ int64_t jx,ix,lx;
+
+ /* High word of |x|. */
+ GET_LDOUBLE_WORDS64(jx,lx,x);
+ ix = jx&0x7fffffffffffffffLL;
+
+ /* x is INF or NaN */
+ if(ix>=0x7ff0000000000000LL) {
+ if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */
+ else return one/x-one; /* tanh(NaN) = NaN */
+ }
+
+ /* |x| < 22 */
+ if (ix < 0x4036000000000000LL) { /* |x|<22 */
+ if ((ix | (lx&0x7fffffffffffffffLL)) == 0)
+ return x; /* x == +-0 */
+ if (ix<0x3c60000000000000LL) /* |x|<2**-57 */
+ return x*(one+x); /* tanh(small) = small */
+ if (ix>=0x3ff0000000000000LL) { /* |x|>=1 */
+ t = __expm1l(two*fabsl(x));
+ z = one - two/(t+two);
+ } else {
+ t = __expm1l(-two*fabsl(x));
+ z= -t/(t+two);
+ }
+ /* |x| > 22, return +-1 */
+ } else {
+ z = one - tiny; /* raised inexact flag */
+ }
+ return (jx>=0)? z: -z;
+}
+long_double_symbol (libm, __tanhl, tanhl);