/* Compute complex natural logarithm.
   Copyright (C) 1997-2012 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
__clog (__complex__ double x)
{
  __complex__ double result;
  int rcls = fpclassify (__real__ x);
  int icls = fpclassify (__imag__ x);

  if (__builtin_expect (rcls == FP_ZERO && icls == FP_ZERO, 0))
    {
      /* Real and imaginary part are 0.0.  */
      __imag__ result = signbit (__real__ x) ? M_PI : 0.0;
      __imag__ result = __copysign (__imag__ result, __imag__ x);
      /* Yes, the following line raises an exception.  */
      __real__ result = -1.0 / fabs (__real__ x);
    }
  else if (__builtin_expect (rcls != FP_NAN && icls != FP_NAN, 1))
    {
      /* Neither real nor imaginary part is NaN.  */
      double d;
      int scale = 0;

      if (fabs (__real__ x) > DBL_MAX / 2.0
	  || fabs (__imag__ x) > DBL_MAX / 2.0)
	{
	  scale = -1;
	  __real__ x = __scalbn (__real__ x, scale);
	  __imag__ x = __scalbn (__imag__ x, scale);
	}
      else if (fabs (__real__ x) < DBL_MIN
	       && fabs (__imag__ x) < DBL_MIN)
	{
	  scale = DBL_MANT_DIG;
	  __real__ x = __scalbn (__real__ x, scale);
	  __imag__ x = __scalbn (__imag__ x, scale);
	}

      d = __ieee754_hypot (__real__ x, __imag__ x);

      __real__ result = __ieee754_log (d) - scale * M_LN2;
      __imag__ result = __ieee754_atan2 (__imag__ x, __real__ x);
    }
  else
    {
      __imag__ result = __nan ("");
      if (rcls == FP_INFINITE || icls == FP_INFINITE)
	/* Real or imaginary part is infinite.  */
	__real__ result = HUGE_VAL;
      else
	__real__ result = __nan ("");
    }

  return result;
}
weak_alias (__clog, clog)
#ifdef NO_LONG_DOUBLE
strong_alias (__clog, __clogl)
weak_alias (__clog, clogl)
#endif