/* Emulation for sqrtl.
   Contributed by Paolo Bonzini

   Copyright 2002, 2003 Free Software Foundation, Inc.

   This file is part of gnulib.

   This program is free software; you can redistribute it and/or modify
   it under the terms of the GNU General Public License as published by
   the Free Software Foundation; either version 2, or (at your option)
   any later version.

   This program 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 General Public License for more details.

   You should have received a copy of the GNU General Public License along
   with this program; if not, write to the Free Software Foundation,
   Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.  */

#include <float.h>
#include <math.h>

#include "mathl.h"

/* A simple Newton-Raphson method. */
long double
sqrtl(long double x)
{
  long double delta, y;
  int exponent;

  /* Check for negative numbers */
  if (x < 0.0L)
    return (long double) sqrt(-1);

  /* Check for zero, NANs and infinites */
  if (x + x == x || x != x)
    return x;

  frexpl (x, &exponent);
  y = ldexpl (x, -exponent / 2);

  do
    {
      delta = y;
      y = (y + x / y) * 0.5L;
      delta -= y;
    }
  while (delta != 0.0L);

  return y;
}