Blame mpn/generic/popham.c

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/* mpn_popcount, mpn_hamdist -- mpn bit population count/hamming distance.
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Copyright 1994, 1996, 2000-2002, 2005, 2011, 2012 Free Software Foundation,
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Inc.
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This file is part of the GNU MP Library.
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The GNU MP Library is free software; you can redistribute it and/or modify
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it under the terms of either:
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  * the GNU Lesser General Public License as published by the Free
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    Software Foundation; either version 3 of the License, or (at your
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    option) any later version.
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or
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  * the GNU General Public License as published by the Free Software
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    Foundation; either version 2 of the License, or (at your option) any
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    later version.
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or both in parallel, as here.
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The GNU MP Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
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for more details.
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You should have received copies of the GNU General Public License and the
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GNU Lesser General Public License along with the GNU MP Library.  If not,
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see https://www.gnu.org/licenses/.  */
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#include "gmp.h"
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#include "gmp-impl.h"
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#if OPERATION_popcount
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#define FNAME mpn_popcount
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#define POPHAM(u,v) u
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#endif
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#if OPERATION_hamdist
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#define FNAME mpn_hamdist
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#define POPHAM(u,v) u ^ v
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#endif
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mp_bitcnt_t
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FNAME (mp_srcptr up,
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#if OPERATION_hamdist
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       mp_srcptr vp,
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#endif
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       mp_size_t n) __GMP_NOTHROW
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{
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  mp_bitcnt_t result = 0;
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  mp_limb_t p0, p1, p2, p3, x, p01, p23;
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  mp_size_t i;
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  ASSERT (n >= 1);		/* Actually, this code handles any n, but some
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				   assembly implementations do not.  */
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  for (i = n >> 2; i != 0; i--)
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    {
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      p0 = POPHAM (up[0], vp[0]);
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      p0 -= (p0 >> 1) & MP_LIMB_T_MAX/3;				/* 2 0-2 */
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      p0 = ((p0 >> 2) & MP_LIMB_T_MAX/5) + (p0 & MP_LIMB_T_MAX/5);	/* 4 0-4 */
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      p1 = POPHAM (up[1], vp[1]);
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      p1 -= (p1 >> 1) & MP_LIMB_T_MAX/3;				/* 2 0-2 */
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      p1 = ((p1 >> 2) & MP_LIMB_T_MAX/5) + (p1 & MP_LIMB_T_MAX/5);	/* 4 0-4 */
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      p01 = p0 + p1;							/* 8 0-8 */
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      p01 = ((p01 >> 4) & MP_LIMB_T_MAX/17) + (p01 & MP_LIMB_T_MAX/17);	/* 8 0-16 */
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      p2 = POPHAM (up[2], vp[2]);
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      p2 -= (p2 >> 1) & MP_LIMB_T_MAX/3;				/* 2 0-2 */
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      p2 = ((p2 >> 2) & MP_LIMB_T_MAX/5) + (p2 & MP_LIMB_T_MAX/5);	/* 4 0-4 */
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      p3 = POPHAM (up[3], vp[3]);
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      p3 -= (p3 >> 1) & MP_LIMB_T_MAX/3;				/* 2 0-2 */
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      p3 = ((p3 >> 2) & MP_LIMB_T_MAX/5) + (p3 & MP_LIMB_T_MAX/5);	/* 4 0-4 */
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      p23 = p2 + p3;							/* 8 0-8 */
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      p23 = ((p23 >> 4) & MP_LIMB_T_MAX/17) + (p23 & MP_LIMB_T_MAX/17);	/* 8 0-16 */
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      x = p01 + p23;							/* 8 0-32 */
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      x = (x >> 8) + x;							/* 8 0-64 */
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      x = (x >> 16) + x;						/* 8 0-128 */
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#if GMP_LIMB_BITS > 32
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      x = ((x >> 32) & 0xff) + (x & 0xff);				/* 8 0-256 */
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      result += x;
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#else
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      result += x & 0xff;
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#endif
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      up += 4;
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#if OPERATION_hamdist
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      vp += 4;
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#endif
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    }
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  n &= 3;
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  if (n != 0)
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    {
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      x = 0;
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      do
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	{
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	  p0 = POPHAM (up[0], vp[0]);
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	  p0 -= (p0 >> 1) & MP_LIMB_T_MAX/3;				/* 2 0-2 */
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	  p0 = ((p0 >> 2) & MP_LIMB_T_MAX/5) + (p0 & MP_LIMB_T_MAX/5);	/* 4 0-4 */
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	  p0 = ((p0 >> 4) + p0) & MP_LIMB_T_MAX/17;			/* 8 0-8 */
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	  x += p0;
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	  up += 1;
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#if OPERATION_hamdist
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	  vp += 1;
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#endif
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	}
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      while (--n);
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      x = (x >> 8) + x;
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      x = (x >> 16) + x;
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#if GMP_LIMB_BITS > 32
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      x = (x >> 32) + x;
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#endif
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      result += x & 0xff;
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    }
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  return result;
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}