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-rw-r--r--math/s_catanh_template.c137
1 files changed, 137 insertions, 0 deletions
diff --git a/math/s_catanh_template.c b/math/s_catanh_template.c
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+/* Return arc hyperbole tangent for double value.
+ Copyright (C) 1997-2016 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ 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/>. */
+
+#include <complex.h>
+#include <math.h>
+#include <math_private.h>
+#include <float.h>
+
+__complex__ double
+__catanh (__complex__ double x)
+{
+ __complex__ double res;
+ int rcls = fpclassify (__real__ x);
+ int icls = fpclassify (__imag__ x);
+
+ if (__glibc_unlikely (rcls <= FP_INFINITE || icls <= FP_INFINITE))
+ {
+ if (icls == FP_INFINITE)
+ {
+ __real__ res = __copysign (0.0, __real__ x);
+ __imag__ res = __copysign (M_PI_2, __imag__ x);
+ }
+ else if (rcls == FP_INFINITE || rcls == FP_ZERO)
+ {
+ __real__ res = __copysign (0.0, __real__ x);
+ if (icls >= FP_ZERO)
+ __imag__ res = __copysign (M_PI_2, __imag__ x);
+ else
+ __imag__ res = __nan ("");
+ }
+ else
+ {
+ __real__ res = __nan ("");
+ __imag__ res = __nan ("");
+ }
+ }
+ else if (__glibc_unlikely (rcls == FP_ZERO && icls == FP_ZERO))
+ {
+ res = x;
+ }
+ else
+ {
+ if (fabs (__real__ x) >= 16.0 / DBL_EPSILON
+ || fabs (__imag__ x) >= 16.0 / DBL_EPSILON)
+ {
+ __imag__ res = __copysign (M_PI_2, __imag__ x);
+ if (fabs (__imag__ x) <= 1.0)
+ __real__ res = 1.0 / __real__ x;
+ else if (fabs (__real__ x) <= 1.0)
+ __real__ res = __real__ x / __imag__ x / __imag__ x;
+ else
+ {
+ double h = __ieee754_hypot (__real__ x / 2.0, __imag__ x / 2.0);
+ __real__ res = __real__ x / h / h / 4.0;
+ }
+ }
+ else
+ {
+ if (fabs (__real__ x) == 1.0
+ && fabs (__imag__ x) < DBL_EPSILON * DBL_EPSILON)
+ __real__ res = (__copysign (0.5, __real__ x)
+ * (M_LN2 - __ieee754_log (fabs (__imag__ x))));
+ else
+ {
+ double i2 = 0.0;
+ if (fabs (__imag__ x) >= DBL_EPSILON * DBL_EPSILON)
+ i2 = __imag__ x * __imag__ x;
+
+ double num = 1.0 + __real__ x;
+ num = i2 + num * num;
+
+ double den = 1.0 - __real__ x;
+ den = i2 + den * den;
+
+ double f = num / den;
+ if (f < 0.5)
+ __real__ res = 0.25 * __ieee754_log (f);
+ else
+ {
+ num = 4.0 * __real__ x;
+ __real__ res = 0.25 * __log1p (num / den);
+ }
+ }
+
+ double absx, absy, den;
+
+ absx = fabs (__real__ x);
+ absy = fabs (__imag__ x);
+ if (absx < absy)
+ {
+ double t = absx;
+ absx = absy;
+ absy = t;
+ }
+
+ if (absy < DBL_EPSILON / 2.0)
+ {
+ den = (1.0 - absx) * (1.0 + absx);
+ if (den == -0.0)
+ den = 0.0;
+ }
+ else if (absx >= 1.0)
+ den = (1.0 - absx) * (1.0 + absx) - absy * absy;
+ else if (absx >= 0.75 || absy >= 0.5)
+ den = -__x2y2m1 (absx, absy);
+ else
+ den = (1.0 - absx) * (1.0 + absx) - absy * absy;
+
+ __imag__ res = 0.5 * __ieee754_atan2 (2.0 * __imag__ x, den);
+ }
+
+ math_check_force_underflow_complex (res);
+ }
+
+ return res;
+}
+weak_alias (__catanh, catanh)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__catanh, __catanhl)
+weak_alias (__catanh, catanhl)
+#endif