Blame mpn/generic/pow_1.c

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/* mpn_pow_1 -- Compute powers R = U^exp.
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   THE FUNCTIONS IN THIS FILE ARE FOR INTERNAL USE ONLY.  THEY'RE ALMOST
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   CERTAIN TO BE SUBJECT TO INCOMPATIBLE CHANGES OR DISAPPEAR COMPLETELY IN
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   FUTURE GNU MP RELEASES.
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Copyright 2002, 2014 Free Software Foundation, 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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#include "longlong.h"
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mp_size_t
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mpn_pow_1 (mp_ptr rp, mp_srcptr bp, mp_size_t bn, mp_limb_t exp, mp_ptr tp)
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{
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  mp_limb_t x;
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  int cnt, i;
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  mp_size_t rn;
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  int par;
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  ASSERT (bn >= 1);
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  /* FIXME: Add operand overlap criteria */
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  if (exp <= 1)
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    {
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      if (exp == 0)
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	{
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	  rp[0] = 1;
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	  return 1;
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	}
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      else
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	{
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	  MPN_COPY (rp, bp, bn);
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	  return bn;
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	}
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    }
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  /* Count number of bits in exp, and compute where to put initial square in
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     order to magically get results in the entry rp.  Use simple code,
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     optimized for small exp.  For large exp, the bignum operations will take
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     so much time that the slowness of this code will be negligible.  */
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  par = 0;
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  cnt = GMP_LIMB_BITS;
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  x = exp;
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  do
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    {
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      par ^= x;
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      cnt--;
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      x >>= 1;
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    } while (x != 0);
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  exp <<= cnt;
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  if (bn == 1)
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    {
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      mp_limb_t bl = bp[0];
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      if ((cnt & 1) != 0)
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	MP_PTR_SWAP (rp, tp);
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      mpn_sqr (rp, bp, bn);
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      rn = 2 * bn; rn -= rp[rn - 1] == 0;
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      for (i = GMP_LIMB_BITS - cnt - 1;;)
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	{
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	  exp <<= 1;
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	  if ((exp & GMP_LIMB_HIGHBIT) != 0)
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	    {
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	      rp[rn] = mpn_mul_1 (rp, rp, rn, bl);
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	      rn += rp[rn] != 0;
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	    }
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	  if (--i == 0)
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	    break;
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	  mpn_sqr (tp, rp, rn);
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	  rn = 2 * rn; rn -= tp[rn - 1] == 0;
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	  MP_PTR_SWAP (rp, tp);
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	}
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    }
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  else
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    {
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      if (((par ^ cnt) & 1) == 0)
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	MP_PTR_SWAP (rp, tp);
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      mpn_sqr (rp, bp, bn);
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      rn = 2 * bn; rn -= rp[rn - 1] == 0;
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      for (i = GMP_LIMB_BITS - cnt - 1;;)
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	{
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	  exp <<= 1;
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	  if ((exp & GMP_LIMB_HIGHBIT) != 0)
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	    {
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	      rn = rn + bn - (mpn_mul (tp, rp, rn, bp, bn) == 0);
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	      MP_PTR_SWAP (rp, tp);
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	    }
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	  if (--i == 0)
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	    break;
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	  mpn_sqr (tp, rp, rn);
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	  rn = 2 * rn; rn -= tp[rn - 1] == 0;
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	  MP_PTR_SWAP (rp, tp);
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	}
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    }
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  return rn;
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}