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+/* 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;
+ u_int32_t lx;
+
+ /* 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)
+ {
+ if (ix < 0x3c800000)
+ return one; /* cosh(tiny) = 1 */
+ t = __expm1 (fabs (x));
+ w = one + t;
+ 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] */
+ GET_LOW_WORD (lx, x);
+ if (ix < 0x408633ce || ((ix == 0x408633ce) && (lx <= (u_int32_t) 0x8fb9f87d)))
+ {
+ 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 math_narrow_eval (huge * huge);
+}
+strong_alias (__ieee754_cosh, __cosh_finite)