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+/* Copyright (C) 2011-2017 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 of the License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, see
+ <http://www.gnu.org/licenses/>. */
+
+
+/* __ieee754_atanh(x)
+ Method :
+ 1.Reduced x to positive by atanh(-x) = -atanh(x)
+ 2.For x>=0.5
+ 1 2x x
+ atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------)
+ 2 1 - x 1 - x
+
+ For x<0.5
+ atanh(x) = 0.5*log1p(2x+2x*x/(1-x))
+
+ Special cases:
+ atanh(x) is NaN if |x| > 1 with signal;
+ atanh(NaN) is that NaN with no signal;
+ atanh(+-1) is +-INF with signal.
+
+ */
+
+#include <float.h>
+#include <inttypes.h>
+#include <math.h>
+#include <math_private.h>
+
+static const double huge = 1e300;
+
+double
+__ieee754_atanh (double x)
+{
+ double xa = fabs (x);
+ double t;
+ if (isless (xa, 0.5))
+ {
+ if (__glibc_unlikely (xa < 0x1.0p-28))
+ {
+ math_force_eval (huge + x);
+ math_check_force_underflow (x);
+ return x;
+ }
+
+ t = xa + xa;
+ t = 0.5 * __log1p (t + t * xa / (1.0 - xa));
+ }
+ else if (__glibc_likely (isless (xa, 1.0)))
+ t = 0.5 * __log1p ((xa + xa) / (1.0 - xa));
+ else
+ {
+ if (isgreater (xa, 1.0))
+ return (x - x) / (x - x);
+
+ return x / 0.0;
+ }
+
+ return __copysign (t, x);
+}
+strong_alias (__ieee754_atanh, __atanh_finite)