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/* Return arc hyperbole cosine for float value.
Copyright (C) 1997 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, write to the Free
Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
02111-1307 USA. */
#include <complex.h>
#include <math.h>
#include "math_private.h"
__complex__ float
__cacoshf (__complex__ float x)
{
__complex__ float res;
int rcls = fpclassify (__real__ x);
int icls = fpclassify (__imag__ x);
if (rcls <= FP_INFINITE || icls <= FP_INFINITE)
{
if (icls == FP_INFINITE)
{
__real__ res = HUGE_VALF;
if (rcls == FP_NAN)
__imag__ res = __nanf ("");
else
__imag__ res = __copysignf ((rcls == FP_INFINITE
? (__real__ x < 0.0
? M_PI - M_PI_4 : M_PI_4)
: M_PI_2), __imag__ x);
}
else if (rcls == FP_INFINITE)
{
__real__ res = HUGE_VALF;
if (icls >= FP_ZERO)
__imag__ res = __copysignf (signbit (__real__ x) ? M_PI : 0.0,
__imag__ x);
else
__imag__ res = __nanf ("");
}
else
{
__real__ res = __nanf ("");
__imag__ res = __nanf ("");
}
}
else if (rcls == FP_ZERO && icls == FP_ZERO)
{
__real__ res = 0.0;
__imag__ res = __copysignf (M_PI_2, __imag__ x);
}
else
{
#if 1
__complex__ float y;
__real__ y = (__real__ x - __imag__ x) * (__real__ x + __imag__ x) - 1.0;
__imag__ y = 2.0 * __real__ x * __imag__ x;
y = __csqrtf (y);
__real__ y += __real__ x;
__imag__ y += __imag__ x;
res = __clogf (y);
#else
float re2 = __real__ x * __real__ x;
float im2 = __imag__ x * __imag__ x;
float sq = re2 - im2 - 1.0;
float ro = __ieee754_sqrtf (sq * sq + 4 * re2 * im2);
float a = __ieee754_sqrtf ((sq + ro) / 2.0);
float b = __ieee754_sqrtf ((-sq + ro) / 2.0);
__real__ res = 0.5 * __ieee754_logf (re2 + __real__ x * 2 * a
+ im2 + __imag__ x * 2 * b
+ ro);
__imag__ res = __ieee754_atan2f (__imag__ x + b, __real__ x + a);
#endif
}
return res;
}
#ifndef __cacoshf
weak_alias (__cacoshf, cacoshf)
#endif
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