xref: /dragonfly/contrib/gmp/mpf/eq.c (revision 86d7f5d3)

/* mpf_eq -- Compare two floats up to a specified bit #.

Copyright 1993, 1995, 1996, 2001, 2002, 2008, 2009 Free Software Foundation,
Inc.

This file is part of the GNU MP Library.

The GNU MP 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 3 of the License, or (at your
option) any later version.

The GNU MP 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 MP Library.  If not, see http://www.gnu.org/licenses/.  */

#include "gmp.h"
#include "gmp-impl.h"
#include "longlong.h"

int
mpf_eq (mpf_srcptr u, mpf_srcptr v, mp_bitcnt_t n_bits)
{
  mp_srcptr up, vp, p;
  mp_size_t usize, vsize, minsize, maxsize, n_limbs, i, size;
  mp_exp_t uexp, vexp;
  mp_limb_t diff;
  int cnt;

  uexp = u->_mp_exp;
  vexp = v->_mp_exp;

  usize = u->_mp_size;
  vsize = v->_mp_size;

  /* 1. Are the signs different?  */
  if ((usize ^ vsize) >= 0)
    {
      /* U and V are both non-negative or both negative.  */
      if (usize == 0)
	return vsize == 0;
      if (vsize == 0)
	return 0;

      /* Fall out.  */
    }
  else
    {
      /* Either U or V is negative, but not both.  */
      return 0;
    }

  /* U and V have the same sign and are both non-zero.  */

  /* 2. Are the exponents different?  */
  if (uexp != vexp)
    return 0;

  usize = ABS (usize);
  vsize = ABS (vsize);

  up = u->_mp_d;
  vp = v->_mp_d;

  up += usize;			/* point just above most significant limb */
  vp += vsize;			/* point just above most significant limb */

  count_leading_zeros (cnt, up[-1]);
  if ((vp[-1] >> (GMP_LIMB_BITS - 1 - cnt)) != 1)
    return 0;			/* msb positions different */

  n_bits += cnt - GMP_NAIL_BITS;
  n_limbs = (n_bits + GMP_NUMB_BITS - 1) / GMP_NUMB_BITS;

  usize = MIN (usize, n_limbs);
  vsize = MIN (vsize, n_limbs);

#if 0
  /* Ignore zeros at the low end of U and V.  */
  while (up[0] == 0)
    up++, usize--;
  while (vp[0] == 0)
    vp++, vsize--;
#endif

  minsize = MIN (usize, vsize);
  maxsize = usize + vsize - minsize;

  up -= minsize;		/* point at most significant common limb */
  vp -= minsize;		/* point at most significant common limb */

  /* Compare the most significant part which has explicit limbs for U and V. */
  for (i = minsize - 1; i > 0; i--)
    {
      if (up[i] != vp[i])
	return 0;
    }

  n_bits -= (maxsize - 1) * GMP_NUMB_BITS;

  size = maxsize - minsize;
  if (size != 0)
    {
      if (up[0] != vp[0])
	return 0;

      /* Now either U or V has its limbs consumed, i.e, continues with an
	 infinite number of implicit zero limbs.  Check that the other operand
	 has just zeros in the corresponding, relevant part.  */

      if (usize > vsize)
	p = up - size;
      else
	p = vp - size;

      for (i = size - 1; i > 0; i--)
	{
	  if (p[i] != 0)
	    return 0;
	}

      diff = p[0];
    }
  else
    {
      /* Both U or V has its limbs consumed.  */

      diff = up[0] ^ vp[0];
    }

  if (n_bits < GMP_NUMB_BITS)
    diff >>= GMP_NUMB_BITS - n_bits;

  return diff == 0;
}