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/* Compute projection of complex long double value to Riemann sphere.

   Copyright (C) 1997, 1999 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>

__complex__ long double

__cprojl (__complex__ long double x)

{

  __complex__ long double res;

  if (isnan (__real__ x) && isnan (__imag__ x))

    return x;

  else if (!isfinite (__real__ x) || !isfinite (__imag__ x))

    {

      __real__ res = INFINITY;

      __imag__ res = __copysignl (0.0, __imag__ x);

    }

  else

    {

      long double den = (__real__ x * __real__ x + __imag__ x * __imag__ x

                         + 1.0);

      __real__ res = (2.0 * __real__ x) / den;

      __imag__ res = (2.0 * __imag__ x) / den;

    }

  return res;

}

weak_alias (__cprojl, cprojl)