Add cosh optimized for 64-bit architectures

ChangeLog

@@ -1,5 +1,8 @@
 2011-10-15  Ulrich Drepper  <drepper@gmail.com>
 
+	* sysdeps/ieee754/dbl-64/e_cosh.c: Cleanup.
+	* sysdeps/ieee754/dbl-64/wordsize-64/e_cosh.c: New file.
+
 	* math/Versions [libm] (GLIBC_2.15): Add __exp_finite, __expf_finite,
 	__expl_finite.
 	* math/bits/math-finite.h: Add entries for exp.

sysdeps/ieee754/dbl-64/e_cosh.c

@@ -10,10 +10,6 @@
  * ====================================================
  */
 
-#if defined(LIBM_SCCS) && !defined(lint)
-static char rcsid[] = "$NetBSD: e_cosh.c,v 1.7 1995/05/10 20:44:58 jtc Exp $";
-#endif
-
 /* __ieee754_cosh(x)
  * Method :
  * mathematically cosh(x) if defined to be (exp(x)+exp(-x))/2

sysdeps/ieee754/dbl-64/wordsize-64/e_cosh.c

@@ -0,0 +1,82 @@
+/* Optimized by Ulrich Drepper <drepper@gmail.com>, 2011 */
+/*
+ * ====================================================
+ * 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.
+ * ====================================================
+ */
+
+/* __ieee754_cosh(x)
+ * Method :
+ * mathematically cosh(x) if defined to be (exp(x)+exp(-x))/2
+ *	1. Replace x by |x| (cosh(x) = cosh(-x)).
+ *	2.
+ *							[ exp(x) - 1 ]^2
+ *	    0        <= x <= ln2/2  :  cosh(x) := 1 + -------------------
+ *							   2*exp(x)
+ *
+ *						  exp(x) +  1/exp(x)
+ *	    ln2/2    <= x <= 22     :  cosh(x) := -------------------
+ *							  2
+ *	    22       <= x <= lnovft :  cosh(x) := exp(x)/2
+ *	    lnovft   <= x <= ln2ovft:  cosh(x) := exp(x/2)/2 * exp(x/2)
+ *	    ln2ovft  <  x	    :  cosh(x) := huge*huge (overflow)
+ *
+ * Special cases:
+ *	cosh(x) is |x| if x is +INF, -INF, or NaN.
+ *	only cosh(0)=1 is exact for finite x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+static const double one = 1.0, half=0.5, huge = 1.0e300;
+
+double
+__ieee754_cosh (double x)
+{
+	double t,w;
+	int32_t ix;
+
+    /* High word of |x|. */
+	GET_HIGH_WORD(ix,x);
+	ix &= 0x7fffffff;
+
+    /* |x| in [0,22] */
+	if (ix < 0x40360000) {
+	    /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
+		if(ix<0x3fd62e43) {
+		    t = __expm1(fabs(x));
+		    w = one+t;
+		    if (ix<0x3c800000) return w;	/* cosh(tiny) = 1 */
+		    return one+(t*t)/(w+w);
+		}
+
+	    /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */
+		t = __ieee754_exp(fabs(x));
+		return half*t+half/t;
+	}
+
+    /* |x| in [22, log(maxdouble)] return half*exp(|x|) */
+	if (ix < 0x40862e42)  return half*__ieee754_exp(fabs(x));
+
+    /* |x| in [log(maxdouble), overflowthresold] */
+	int64_t fix;
+	EXTRACT_WORDS64(fix, x);
+	if (fix <= UINT64_C(0x408633ce8fb9f87d)) {
+	    w = __ieee754_exp(half*fabs(x));
+	    t = half*w;
+	    return t*w;
+	}
+
+    /* x is INF or NaN */
+	if(ix>=0x7ff00000) return x*x;
+
+    /* |x| > overflowthresold, cosh(x) overflow */
+	return huge*huge;
+}
+strong_alias (__ieee754_cosh, __cosh_finite)