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/* Return arc hyperbole sine for double 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__ double

__casinh (__complex__ double x)

{

  __complex__ double res;

  int rcls = fpclassify (__real__ x);

  int icls = fpclassify (__imag__ x);

  if (rcls <= FP_INFINITE || icls <= FP_INFINITE)

    {

      if (icls == FP_INFINITE)

        {

          __real__ res = __copysign (HUGE_VAL, __real__ x);

          if (rcls == FP_NAN)

            __imag__ res = __nan ("");

          else

            __imag__ res = __copysign (rcls >= FP_ZERO ? M_PI_2 : M_PI_4,

                                       __imag__ x);

        }

      else if (rcls <= FP_INFINITE)

        {

          __real__ res = __real__ x;

          if ((rcls == FP_INFINITE && icls >= FP_ZERO)

              || (rcls == FP_NAN && icls == FP_ZERO))

            __imag__ res = __copysign (0.0, __imag__ x);

          else

            __imag__ res = __nan ("");

        }

      else

        {

          __real__ res = __nan ("");

          __imag__ res = __nan ("");

        }

    }

  else if (rcls == FP_ZERO && icls == FP_ZERO)

    {

      res = x;

    }

  else

    {

      __complex__ double y;

      __real__ y = (__real__ x - __imag__ x) * (__real__ x + __imag__ x) + 1.0;

      __imag__ y = 2.0 * __real__ x * __imag__ x;

      y = __csqrt (y);

      __real__ y += __real__ x;

      __imag__ y += __imag__ x;

      res = __clog (y);

    }

  return res;

}

weak_alias (__casinh, casinh)

#ifdef NO_LONG_DOUBLE

strong_alias (__casinh, __casinhl)

weak_alias (__casinh, casinhl)

#endif