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/* Return arc hyperbole tangent for float value.
Copyright (C) 1997-2014 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__ float
__catanhf (__complex__ float x)
{
__complex__ float res;
int rcls = fpclassify (__real__ x);
int icls = fpclassify (__imag__ x);
if (__builtin_expect (rcls <= FP_INFINITE || icls <= FP_INFINITE, 0))
{
if (icls == FP_INFINITE)
{
__real__ res = __copysignf (0.0, __real__ x);
__imag__ res = __copysignf (M_PI_2, __imag__ x);
}
else if (rcls == FP_INFINITE || rcls == FP_ZERO)
{
__real__ res = __copysignf (0.0, __real__ x);
if (icls >= FP_ZERO)
__imag__ res = __copysignf (M_PI_2, __imag__ x);
else
__imag__ res = __nanf ("");
}
else
{
__real__ res = __nanf ("");
__imag__ res = __nanf ("");
}
}
else if (__builtin_expect (rcls == FP_ZERO && icls == FP_ZERO, 0))
{
res = x;
}
else
{
if (fabsf (__real__ x) >= 16.0f / FLT_EPSILON
|| fabsf (__imag__ x) >= 16.0f / FLT_EPSILON)
{
__imag__ res = __copysignf ((float) M_PI_2, __imag__ x);
if (fabsf (__imag__ x) <= 1.0f)
__real__ res = 1.0f / __real__ x;
else if (fabsf (__real__ x) <= 1.0f)
__real__ res = __real__ x / __imag__ x / __imag__ x;
else
{
float h = __ieee754_hypotf (__real__ x / 2.0f,
__imag__ x / 2.0f);
__real__ res = __real__ x / h / h / 4.0f;
}
}
else
{
if (fabsf (__real__ x) == 1.0f
&& fabsf (__imag__ x) < FLT_EPSILON * FLT_EPSILON)
__real__ res = (__copysignf (0.5f, __real__ x)
* ((float) M_LN2
- __ieee754_logf (fabsf (__imag__ x))));
else
{
float i2 = 0.0f;
if (fabsf (__imag__ x) >= FLT_EPSILON * FLT_EPSILON)
i2 = __imag__ x * __imag__ x;
float num = 1.0f + __real__ x;
num = i2 + num * num;
float den = 1.0f - __real__ x;
den = i2 + den * den;
float f = num / den;
if (f < 0.5f)
__real__ res = 0.25f * __ieee754_logf (f);
else
{
num = 4.0f * __real__ x;
__real__ res = 0.25f * __log1pf (num / den);
}
}
float absx, absy, den;
absx = fabsf (__real__ x);
absy = fabsf (__imag__ x);
if (absx < absy)
{
float t = absx;
absx = absy;
absy = t;
}
if (absy < FLT_EPSILON / 2.0f)
den = (1.0f - absx) * (1.0f + absx);
else if (absx >= 1.0f)
den = (1.0f - absx) * (1.0f + absx) - absy * absy;
else if (absx >= 0.75f || absy >= 0.5f)
den = -__x2y2m1f (absx, absy);
else
den = (1.0f - absx) * (1.0f + absx) - absy * absy;
__imag__ res = 0.5f * __ieee754_atan2f (2.0f * __imag__ x, den);
}
if (fabsf (__real__ res) < FLT_MIN)
{
volatile float force_underflow = __real__ res * __real__ res;
(void) force_underflow;
}
if (fabsf (__imag__ res) < FLT_MIN)
{
volatile float force_underflow = __imag__ res * __imag__ res;
(void) force_underflow;
}
}
return res;
}
#ifndef __catanhf
weak_alias (__catanhf, catanhf)
#endif
|
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