mpir/mpz/hamdist.c

/* mpz_hamdist -- calculate hamming distance.

Copyright 1994, 1996, 2001, 2002 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 2.1 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; see the file COPYING.LIB.  If not, write to
the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */

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


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

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

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

  if (usize >= 0)
    {
      if (vsize < 0)
        return ~ (unsigned long) 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 ~ (unsigned long) 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)
        {
          unsigned long  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;
    }
}