/* mpz_hamdist -- calculate hamming distance.

Copyright 1994, 1996, 2001, 2002, 2009-2011 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 either:

  * 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.

or

  * the GNU General Public License as published by the Free Software
    Foundation; either version 2 of the License, or (at your option) any
    later version.

or both in parallel, as here.

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 General Public License
for more details.

You should have received copies of the GNU General Public License and the
GNU Lesser General Public License along with the GNU MP Library.  If not,
see https://www.gnu.org/licenses/.  */

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


mp_bitcnt_t
mpz_hamdist (mpz_srcptr u, mpz_srcptr v) __GMP_NOTHROW
{
  mp_srcptr      up, vp;
  mp_size_t      usize, vsize;
  mp_bitcnt_t    count;

  usize = SIZ(u);
  vsize = SIZ(v);

  up = PTR(u);
  vp = PTR(v);

  if (usize >= 0)
    {
      if (vsize < 0)
	return ~ (mp_bitcnt_t) 0;

      /* positive/positive */

      if (usize < vsize)
	MPN_SRCPTR_SWAP (up,usize, vp,vsize);

      count = 0;
      if (vsize != 0)
	count = mpn_hamdist (up, vp, vsize);

      usize -= vsize;
      if (usize != 0)
	count += mpn_popcount (up + vsize, usize);

      return count;
    }
  else
    {
      mp_limb_t  ulimb, vlimb;
      mp_size_t  old_vsize, step;

      if (vsize >= 0)
	return ~ (mp_bitcnt_t) 0;

      /* negative/negative */

      usize = -usize;
      vsize = -vsize;

      /* skip common low zeros */
      for (;;)
	{
	  ASSERT (usize > 0);
	  ASSERT (vsize > 0);

	  usize--;
	  vsize--;

	  ulimb = *up++;
	  vlimb = *vp++;

	  if (ulimb != 0)
	    break;

	  if (vlimb != 0)
	    {
	      MPN_SRCPTR_SWAP (up,usize, vp,vsize);
	      ulimb = vlimb;
	      vlimb = 0;
	      break;
	    }
	}

      /* twos complement first non-zero limbs (ulimb is non-zero, but vlimb
	 might be zero) */
      ulimb = -ulimb;
      vlimb = -vlimb;
      popc_limb (count, (ulimb ^ vlimb) & GMP_NUMB_MASK);

      if (vlimb == 0)
	{
	  mp_bitcnt_t  twoscount;

	  /* first non-zero of v */
	  old_vsize = vsize;
	  do
	    {
	      ASSERT (vsize > 0);
	      vsize--;
	      vlimb = *vp++;
	    }
	  while (vlimb == 0);

	  /* part of u corresponding to skipped v zeros */
	  step = old_vsize - vsize - 1;
	  count += step * GMP_NUMB_BITS;
	  step = MIN (step, usize);
	  if (step != 0)
	    {
	      count -= mpn_popcount (up, step);
	      usize -= step;
	      up += step;
	    }

	  /* First non-zero vlimb as twos complement, xor with ones
	     complement ulimb.  Note -v^(~0^u) == (v-1)^u. */
	  vlimb--;
	  if (usize != 0)
	    {
	      usize--;
	      vlimb ^= *up++;
	    }
	  popc_limb (twoscount, vlimb);
	  count += twoscount;
	}

      /* Overlapping part of u and v, if any.  Ones complement both, so just
	 plain hamdist. */
      step = MIN (usize, vsize);
      if (step != 0)
	{
	  count += mpn_hamdist (up, vp, step);
	  usize -= step;
	  vsize -= step;
	  up += step;
	  vp += step;
	}

      /* Remaining high part of u or v, if any, ones complement but xor
	 against all ones in the other, so plain popcount. */
      if (usize != 0)
	{
	remaining:
	  count += mpn_popcount (up, usize);
	}
      else if (vsize != 0)
	{
	  up = vp;
	  usize = vsize;
	  goto remaining;
	}
      return count;
    }
}