/* sys/gsl_compare.c
 * 
 * Copyright (C) 2002 Gert Van den Eynde
 * 
 * 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 3 of the License, 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.
 * 
 * Based on fcmp 1.2.2 Copyright (c) 1998-2000 Theodore C. Belding
 * University of Michigan Center for the Study of Complex Systems
 * Ted.Belding@umich.edu
 *
 */

#include <config.h>
#include <gsl/gsl_sys.h>
#include <math.h>

int
gsl_fcmp (const double x1, const double x2, const double epsilon)
{
  int exponent;
  double delta, difference;

  /* Find exponent of largest absolute value */

  {
    double max = (fabs (x1) > fabs (x2)) ? x1 : x2;

    frexp (max, &exponent);
  }

  /* Form a neighborhood of size  2 * delta */

  delta = ldexp (epsilon, exponent);

  difference = x1 - x2;

  if (difference > delta)       /* x1 > x2 */
    {
      return 1;
    }
  else if (difference < -delta) /* x1 < x2 */
    {
      return -1;
    }
  else                          /* -delta <= difference <= delta */
    {
      return 0;                 /* x1 ~=~ x2 */
    }
}