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			1739 lines
		
	
	
		
			42 KiB
		
	
	
	
		
			Diff
		
	
	
	
	
	
| From 57700c26d73cf7fa6f5cfaec1145eccf388acab9 Mon Sep 17 00:00:00 2001
 | ||
| From: Nikos Mavrogiannopoulos <nmav@gnutls.org>
 | ||
| Date: Sun, 9 Mar 2014 11:27:42 +0100
 | ||
| Subject: [PATCH 1/5] Updated mini-gmp
 | ||
| 
 | ||
| ---
 | ||
|  mini-gmp.c | 890 +++++++++++++++++++++++++++++++++++++++----------------------
 | ||
|  mini-gmp.h |  55 +++-
 | ||
|  2 files changed, 618 insertions(+), 327 deletions(-)
 | ||
| 
 | ||
| diff --git a/mini-gmp.c b/mini-gmp.c
 | ||
| index 8b6f070..766df30 100644
 | ||
| --- a/mini-gmp.c
 | ||
| +++ b/mini-gmp.c
 | ||
| @@ -2,24 +2,33 @@
 | ||
|  
 | ||
|     Contributed to the GNU project by Niels Möller
 | ||
|  
 | ||
| -Copyright 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2001,
 | ||
| -2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013
 | ||
| -Free Software Foundation, Inc.
 | ||
| +Copyright 1991-1997, 1999-2014 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.
 | ||
| +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 Lesser General Public
 | ||
| -License for more details.
 | ||
| +or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU 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/.  */
 | ||
| +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/.  */
 | ||
|  
 | ||
|  /* NOTE: All functions in this file which are not declared in
 | ||
|     mini-gmp.h are internal, and are not intended to be compatible
 | ||
| @@ -222,11 +231,13 @@ along with the GNU MP Library.  If not, see http://www.gnu.org/licenses/.  */
 | ||
|    } while (0)
 | ||
|  #define MPZ_SRCPTR_SWAP(x, y)						\
 | ||
|    do {									\
 | ||
| -    mpz_srcptr __mpz_srcptr_swap__tmp = (x);			\
 | ||
| +    mpz_srcptr __mpz_srcptr_swap__tmp = (x);				\
 | ||
|      (x) = (y);								\
 | ||
|      (y) = __mpz_srcptr_swap__tmp;					\
 | ||
|    } while (0)
 | ||
|  
 | ||
| +const int mp_bits_per_limb = GMP_LIMB_BITS;
 | ||
| +
 | ||
|  
 | ||
|  /* Memory allocation and other helper functions. */
 | ||
|  static void
 | ||
| @@ -342,12 +353,10 @@ mpn_copyd (mp_ptr d, mp_srcptr s, mp_size_t n)
 | ||
|  int
 | ||
|  mpn_cmp (mp_srcptr ap, mp_srcptr bp, mp_size_t n)
 | ||
|  {
 | ||
| -  for (; n > 0; n--)
 | ||
| +  while (--n >= 0)
 | ||
|      {
 | ||
| -      if (ap[n-1] < bp[n-1])
 | ||
| -	return -1;
 | ||
| -      else if (ap[n-1] > bp[n-1])
 | ||
| -	return 1;
 | ||
| +      if (ap[n] != bp[n])
 | ||
| +	return ap[n] > bp[n] ? 1 : -1;
 | ||
|      }
 | ||
|    return 0;
 | ||
|  }
 | ||
| @@ -355,10 +364,8 @@ mpn_cmp (mp_srcptr ap, mp_srcptr bp, mp_size_t n)
 | ||
|  static int
 | ||
|  mpn_cmp4 (mp_srcptr ap, mp_size_t an, mp_srcptr bp, mp_size_t bn)
 | ||
|  {
 | ||
| -  if (an > bn)
 | ||
| -    return 1;
 | ||
| -  else if (an < bn)
 | ||
| -    return -1;
 | ||
| +  if (an != bn)
 | ||
| +    return an < bn ? -1 : 1;
 | ||
|    else
 | ||
|      return mpn_cmp (ap, bp, an);
 | ||
|  }
 | ||
| @@ -373,20 +380,31 @@ mpn_normalized_size (mp_srcptr xp, mp_size_t n)
 | ||
|  
 | ||
|  #define mpn_zero_p(xp, n) (mpn_normalized_size ((xp), (n)) == 0)
 | ||
|  
 | ||
| +void
 | ||
| +mpn_zero (mp_ptr rp, mp_size_t n)
 | ||
| +{
 | ||
| +  mp_size_t i;
 | ||
| +
 | ||
| +  for (i = 0; i < n; i++)
 | ||
| +    rp[i] = 0;
 | ||
| +}
 | ||
| +
 | ||
|  mp_limb_t
 | ||
|  mpn_add_1 (mp_ptr rp, mp_srcptr ap, mp_size_t n, mp_limb_t b)
 | ||
|  {
 | ||
|    mp_size_t i;
 | ||
|  
 | ||
|    assert (n > 0);
 | ||
| -
 | ||
| -  for (i = 0; i < n; i++)
 | ||
| +  i = 0;
 | ||
| +  do
 | ||
|      {
 | ||
|        mp_limb_t r = ap[i] + b;
 | ||
|        /* Carry out */
 | ||
|        b = (r < b);
 | ||
|        rp[i] = r;
 | ||
|      }
 | ||
| +  while (++i < n);
 | ||
| +
 | ||
|    return b;
 | ||
|  }
 | ||
|  
 | ||
| @@ -429,7 +447,8 @@ mpn_sub_1 (mp_ptr rp, mp_srcptr ap, mp_size_t n, mp_limb_t b)
 | ||
|  
 | ||
|    assert (n > 0);
 | ||
|  
 | ||
| -  for (i = 0; i < n; i++)
 | ||
| +  i = 0;
 | ||
| +  do
 | ||
|      {
 | ||
|        mp_limb_t a = ap[i];
 | ||
|        /* Carry out */
 | ||
| @@ -437,6 +456,8 @@ mpn_sub_1 (mp_ptr rp, mp_srcptr ap, mp_size_t n, mp_limb_t b)
 | ||
|        rp[i] = a - b;
 | ||
|        b = cy;
 | ||
|      }
 | ||
| +  while (++i < n);
 | ||
| +
 | ||
|    return b;
 | ||
|  }
 | ||
|  
 | ||
| @@ -602,7 +623,7 @@ mpn_lshift (mp_ptr rp, mp_srcptr up, mp_size_t n, unsigned int cnt)
 | ||
|    retval = low_limb >> tnc;
 | ||
|    high_limb = (low_limb << cnt);
 | ||
|  
 | ||
| -  for (i = n - 1; i != 0; i--)
 | ||
| +  for (i = n; --i != 0;)
 | ||
|      {
 | ||
|        low_limb = *--up;
 | ||
|        *--rp = high_limb | (low_limb >> tnc);
 | ||
| @@ -630,7 +651,7 @@ mpn_rshift (mp_ptr rp, mp_srcptr up, mp_size_t n, unsigned int cnt)
 | ||
|    retval = (high_limb << tnc);
 | ||
|    low_limb = high_limb >> cnt;
 | ||
|  
 | ||
| -  for (i = n - 1; i != 0; i--)
 | ||
| +  for (i = n; --i != 0;)
 | ||
|      {
 | ||
|        high_limb = *up++;
 | ||
|        *rp++ = low_limb | (high_limb << tnc);
 | ||
| @@ -641,6 +662,46 @@ mpn_rshift (mp_ptr rp, mp_srcptr up, mp_size_t n, unsigned int cnt)
 | ||
|    return retval;
 | ||
|  }
 | ||
|  
 | ||
| +static mp_bitcnt_t
 | ||
| +mpn_common_scan (mp_limb_t limb, mp_size_t i, mp_srcptr up, mp_size_t un,
 | ||
| +		 mp_limb_t ux)
 | ||
| +{
 | ||
| +  unsigned cnt;
 | ||
| +
 | ||
| +  assert (ux == 0 || ux == GMP_LIMB_MAX);
 | ||
| +  assert (0 <= i && i <= un );
 | ||
| +
 | ||
| +  while (limb == 0)
 | ||
| +    {
 | ||
| +      i++;
 | ||
| +      if (i == un)
 | ||
| +	return (ux == 0 ? ~(mp_bitcnt_t) 0 : un * GMP_LIMB_BITS);
 | ||
| +      limb = ux ^ up[i];
 | ||
| +    }
 | ||
| +  gmp_ctz (cnt, limb);
 | ||
| +  return (mp_bitcnt_t) i * GMP_LIMB_BITS + cnt;
 | ||
| +}
 | ||
| +
 | ||
| +mp_bitcnt_t
 | ||
| +mpn_scan1 (mp_srcptr ptr, mp_bitcnt_t bit)
 | ||
| +{
 | ||
| +  mp_size_t i;
 | ||
| +  i = bit / GMP_LIMB_BITS;
 | ||
| +
 | ||
| +  return mpn_common_scan ( ptr[i] & (GMP_LIMB_MAX << (bit % GMP_LIMB_BITS)),
 | ||
| +			  i, ptr, i, 0);
 | ||
| +}
 | ||
| +
 | ||
| +mp_bitcnt_t
 | ||
| +mpn_scan0 (mp_srcptr ptr, mp_bitcnt_t bit)
 | ||
| +{
 | ||
| +  mp_size_t i;
 | ||
| +  i = bit / GMP_LIMB_BITS;
 | ||
| +
 | ||
| +  return mpn_common_scan (~ptr[i] & (GMP_LIMB_MAX << (bit % GMP_LIMB_BITS)),
 | ||
| +			  i, ptr, i, GMP_LIMB_MAX);
 | ||
| +}
 | ||
| +
 | ||
|  
 | ||
|  /* MPN division interface. */
 | ||
|  mp_limb_t
 | ||
| @@ -715,8 +776,7 @@ mpn_invert_3by2 (mp_limb_t u1, mp_limb_t u0)
 | ||
|        if (r < th)
 | ||
|  	{
 | ||
|  	  m--;
 | ||
| -	  if (r > u1 || (r == u1 && tl > u0))
 | ||
| -	    m--;
 | ||
| +	  m -= ((r > u1) | ((r == u1) & (tl > u0)));
 | ||
|  	}
 | ||
|      }
 | ||
|  
 | ||
| @@ -836,14 +896,20 @@ mpn_div_qr_1 (mp_ptr qp, mp_srcptr np, mp_size_t nn, mp_limb_t d)
 | ||
|    assert (d > 0);
 | ||
|  
 | ||
|    /* Special case for powers of two. */
 | ||
| -  if (d > 1 && (d & (d-1)) == 0)
 | ||
| +  if ((d & (d-1)) == 0)
 | ||
|      {
 | ||
| -      unsigned shift;
 | ||
|        mp_limb_t r = np[0] & (d-1);
 | ||
| -      gmp_ctz (shift, d);
 | ||
|        if (qp)
 | ||
| -	mpn_rshift (qp, np, nn, shift);
 | ||
| -
 | ||
| +	{
 | ||
| +	  if (d <= 1)
 | ||
| +	    mpn_copyi (qp, np, nn);
 | ||
| +	  else
 | ||
| +	    {
 | ||
| +	      unsigned shift;
 | ||
| +	      gmp_ctz (shift, d);
 | ||
| +	      mpn_rshift (qp, np, nn, shift);
 | ||
| +	    }
 | ||
| +	}
 | ||
|        return r;
 | ||
|      }
 | ||
|    else
 | ||
| @@ -880,7 +946,8 @@ mpn_div_qr_2_preinv (mp_ptr qp, mp_ptr rp, mp_srcptr np, mp_size_t nn,
 | ||
|  
 | ||
|    r0 = np[nn - 1];
 | ||
|  
 | ||
| -  for (i = nn - 2; i >= 0; i--)
 | ||
| +  i = nn - 2;
 | ||
| +  do
 | ||
|      {
 | ||
|        mp_limb_t n0, q;
 | ||
|        n0 = np[i];
 | ||
| @@ -889,6 +956,7 @@ mpn_div_qr_2_preinv (mp_ptr qp, mp_ptr rp, mp_srcptr np, mp_size_t nn,
 | ||
|        if (qp)
 | ||
|  	qp[i] = q;
 | ||
|      }
 | ||
| +  while (--i >= 0);
 | ||
|  
 | ||
|    if (shift > 0)
 | ||
|      {
 | ||
| @@ -930,18 +998,19 @@ mpn_div_qr_pi1 (mp_ptr qp,
 | ||
|  
 | ||
|    assert (dn > 2);
 | ||
|    assert (nn >= dn);
 | ||
| -  assert ((dp[dn-1] & GMP_LIMB_HIGHBIT) != 0);
 | ||
|  
 | ||
|    d1 = dp[dn - 1];
 | ||
|    d0 = dp[dn - 2];
 | ||
|  
 | ||
| +  assert ((d1 & GMP_LIMB_HIGHBIT) != 0);
 | ||
|    /* Iteration variable is the index of the q limb.
 | ||
|     *
 | ||
|     * We divide <n1, np[dn-1+i], np[dn-2+i], np[dn-3+i],..., np[i]>
 | ||
|     * by            <d1,          d0,        dp[dn-3],  ..., dp[0] >
 | ||
|     */
 | ||
|  
 | ||
| -  for (i = nn - dn; i >= 0; i--)
 | ||
| +  i = nn - dn;
 | ||
| +  do
 | ||
|      {
 | ||
|        mp_limb_t n0 = np[dn-1+i];
 | ||
|  
 | ||
| @@ -973,6 +1042,7 @@ mpn_div_qr_pi1 (mp_ptr qp,
 | ||
|        if (qp)
 | ||
|  	qp[i] = q;
 | ||
|      }
 | ||
| +  while (--i >= 0);
 | ||
|  
 | ||
|    np[dn - 1] = n1;
 | ||
|  }
 | ||
| @@ -994,7 +1064,9 @@ mpn_div_qr_preinv (mp_ptr qp, mp_ptr np, mp_size_t nn,
 | ||
|        mp_limb_t nh;
 | ||
|        unsigned shift;
 | ||
|  
 | ||
| -      assert (dp[dn-1] & GMP_LIMB_HIGHBIT);
 | ||
| +      assert (inv->d1 == dp[dn-1]);
 | ||
| +      assert (inv->d0 == dp[dn-2]);
 | ||
| +      assert ((inv->d1 & GMP_LIMB_HIGHBIT) != 0);
 | ||
|  
 | ||
|        shift = inv->shift;
 | ||
|        if (shift > 0)
 | ||
| @@ -1002,9 +1074,6 @@ mpn_div_qr_preinv (mp_ptr qp, mp_ptr np, mp_size_t nn,
 | ||
|        else
 | ||
|  	nh = 0;
 | ||
|  
 | ||
| -      assert (inv->d1 == dp[dn-1]);
 | ||
| -      assert (inv->d0 == dp[dn-2]);
 | ||
| -
 | ||
|        mpn_div_qr_pi1 (qp, np, nn, nh, dp, dn, inv->di);
 | ||
|  
 | ||
|        if (shift > 0)
 | ||
| @@ -1238,15 +1307,14 @@ mpn_set_str_other (mp_ptr rp, const unsigned char *sp, size_t sn,
 | ||
|  {
 | ||
|    mp_size_t rn;
 | ||
|    mp_limb_t w;
 | ||
| -  unsigned first;
 | ||
|    unsigned k;
 | ||
|    size_t j;
 | ||
|  
 | ||
| -  first = 1 + (sn - 1) % info->exp;
 | ||
| +  k = 1 + (sn - 1) % info->exp;
 | ||
|  
 | ||
|    j = 0;
 | ||
|    w = sp[j++];
 | ||
| -  for (k = 1; k < first; k++)
 | ||
| +  for (; --k > 0; )
 | ||
|      w = w * b + sp[j++];
 | ||
|  
 | ||
|    rp[0] = w;
 | ||
| @@ -1300,7 +1368,7 @@ mpz_init (mpz_t r)
 | ||
|  }
 | ||
|  
 | ||
|  /* The utility of this function is a bit limited, since many functions
 | ||
| -   assings the result variable using mpz_swap. */
 | ||
| +   assigns the result variable using mpz_swap. */
 | ||
|  void
 | ||
|  mpz_init2 (mpz_t r, mp_bitcnt_t bits)
 | ||
|  {
 | ||
| @@ -1422,7 +1490,7 @@ mpz_fits_ulong_p (const mpz_t u)
 | ||
|  {
 | ||
|    mp_size_t us = u->_mp_size;
 | ||
|  
 | ||
| -  return us == 0 || us == 1;
 | ||
| +  return (us == (us > 0));
 | ||
|  }
 | ||
|  
 | ||
|  long int
 | ||
| @@ -1459,6 +1527,48 @@ mpz_getlimbn (const mpz_t u, mp_size_t n)
 | ||
|      return 0;
 | ||
|  }
 | ||
|  
 | ||
| +void
 | ||
| +mpz_realloc2 (mpz_t x, mp_bitcnt_t n)
 | ||
| +{
 | ||
| +  mpz_realloc (x, 1 + (n - (n != 0)) / GMP_LIMB_BITS);
 | ||
| +}
 | ||
| +
 | ||
| +mp_srcptr
 | ||
| +mpz_limbs_read (mpz_srcptr x)
 | ||
| +{
 | ||
| +  return x->_mp_d;;
 | ||
| +}
 | ||
| +
 | ||
| +mp_ptr
 | ||
| +mpz_limbs_modify (mpz_t x, mp_size_t n)
 | ||
| +{
 | ||
| +  assert (n > 0);
 | ||
| +  return MPZ_REALLOC (x, n);
 | ||
| +}
 | ||
| +
 | ||
| +mp_ptr
 | ||
| +mpz_limbs_write (mpz_t x, mp_size_t n)
 | ||
| +{
 | ||
| +  return mpz_limbs_modify (x, n);
 | ||
| +}
 | ||
| +
 | ||
| +void
 | ||
| +mpz_limbs_finish (mpz_t x, mp_size_t xs)
 | ||
| +{
 | ||
| +  mp_size_t xn;
 | ||
| +  xn = mpn_normalized_size (x->_mp_d, GMP_ABS (xs));
 | ||
| +  x->_mp_size = xs < 0 ? -xn : xn;
 | ||
| +}
 | ||
| +
 | ||
| +mpz_srcptr
 | ||
| +mpz_roinit_n (mpz_t x, mp_srcptr xp, mp_size_t xs)
 | ||
| +{
 | ||
| +  x->_mp_alloc = 0;
 | ||
| +  x->_mp_d = (mp_ptr) xp;
 | ||
| +  mpz_limbs_finish (x, xs);
 | ||
| +  return x;
 | ||
| +}
 | ||
| +
 | ||
|  
 | ||
|  /* Conversions and comparison to double. */
 | ||
|  void
 | ||
| @@ -1473,19 +1583,15 @@ mpz_set_d (mpz_t r, double x)
 | ||
|  
 | ||
|    /* x != x is true when x is a NaN, and x == x * 0.5 is true when x is
 | ||
|       zero or infinity. */
 | ||
| -  if (x == 0.0 || x != x || x == x * 0.5)
 | ||
| +  if (x != x || x == x * 0.5)
 | ||
|      {
 | ||
|        r->_mp_size = 0;
 | ||
|        return;
 | ||
|      }
 | ||
|  
 | ||
| -  if (x < 0.0)
 | ||
| -    {
 | ||
| -      x = - x;
 | ||
| -      sign = 1;
 | ||
| -    }
 | ||
| -  else
 | ||
| -    sign = 0;
 | ||
| +  sign = x < 0.0 ;
 | ||
| +  if (sign)
 | ||
| +    x = - x;
 | ||
|  
 | ||
|    if (x < 1.0)
 | ||
|      {
 | ||
| @@ -1502,8 +1608,9 @@ mpz_set_d (mpz_t r, double x)
 | ||
|    f = (mp_limb_t) x;
 | ||
|    x -= f;
 | ||
|    assert (x < 1.0);
 | ||
| -  rp[rn-1] = f;
 | ||
| -  for (i = rn-1; i-- > 0; )
 | ||
| +  i = rn-1;
 | ||
| +  rp[i] = f;
 | ||
| +  while (--i >= 0)
 | ||
|      {
 | ||
|        x = B * x;
 | ||
|        f = (mp_limb_t) x;
 | ||
| @@ -1611,12 +1718,7 @@ mpz_sgn (const mpz_t u)
 | ||
|  {
 | ||
|    mp_size_t usize = u->_mp_size;
 | ||
|  
 | ||
| -  if (usize > 0)
 | ||
| -    return 1;
 | ||
| -  else if (usize < 0)
 | ||
| -    return -1;
 | ||
| -  else
 | ||
| -    return 0;
 | ||
| +  return (usize > 0) - (usize < 0);
 | ||
|  }
 | ||
|  
 | ||
|  int
 | ||
| @@ -1635,10 +1737,9 @@ mpz_cmp_si (const mpz_t u, long v)
 | ||
|        mp_limb_t ul = u->_mp_d[0];
 | ||
|        if ((mp_limb_t)GMP_NEG_CAST (unsigned long int, v) < ul)
 | ||
|  	return -1;
 | ||
| -      else if ( (mp_limb_t)GMP_NEG_CAST (unsigned long int, v) > ul)
 | ||
| -	return 1;
 | ||
| +      else
 | ||
| +	return (mp_limb_t)GMP_NEG_CAST (unsigned long int, v) > ul;
 | ||
|      }
 | ||
| -  return 0;
 | ||
|  }
 | ||
|  
 | ||
|  int
 | ||
| @@ -1653,12 +1754,8 @@ mpz_cmp_ui (const mpz_t u, unsigned long v)
 | ||
|    else
 | ||
|      {
 | ||
|        mp_limb_t ul = (usize > 0) ? u->_mp_d[0] : 0;
 | ||
| -      if (ul > v)
 | ||
| -	return 1;
 | ||
| -      else if (ul < v)
 | ||
| -	return -1;
 | ||
| +      return (ul > v) - (ul < v);
 | ||
|      }
 | ||
| -  return 0;
 | ||
|  }
 | ||
|  
 | ||
|  int
 | ||
| @@ -1667,16 +1764,12 @@ mpz_cmp (const mpz_t a, const mpz_t b)
 | ||
|    mp_size_t asize = a->_mp_size;
 | ||
|    mp_size_t bsize = b->_mp_size;
 | ||
|  
 | ||
| -  if (asize > bsize)
 | ||
| -    return 1;
 | ||
| -  else if (asize < bsize)
 | ||
| -    return -1;
 | ||
| -  else if (asize > 0)
 | ||
| +  if (asize != bsize)
 | ||
| +    return (asize < bsize) ? -1 : 1;
 | ||
| +  else if (asize >= 0)
 | ||
|      return mpn_cmp (a->_mp_d, b->_mp_d, asize);
 | ||
| -  else if (asize < 0)
 | ||
| -    return -mpn_cmp (a->_mp_d, b->_mp_d, -asize);
 | ||
|    else
 | ||
| -    return 0;
 | ||
| +    return mpn_cmp (b->_mp_d, a->_mp_d, -asize);
 | ||
|  }
 | ||
|  
 | ||
|  int
 | ||
| @@ -1690,12 +1783,7 @@ mpz_cmpabs_ui (const mpz_t u, unsigned long v)
 | ||
|  
 | ||
|    ul = (un == 1) ? u->_mp_d[0] : 0;
 | ||
|  
 | ||
| -  if (ul > v)
 | ||
| -    return 1;
 | ||
| -  else if (ul < v)
 | ||
| -    return -1;
 | ||
| -  else
 | ||
| -    return 0;
 | ||
| +  return (ul > v) - (ul < v);
 | ||
|  }
 | ||
|  
 | ||
|  int
 | ||
| @@ -1753,7 +1841,7 @@ mpz_abs_add_ui (mpz_t r, const mpz_t a, unsigned long b)
 | ||
|  
 | ||
|    cy = mpn_add_1 (rp, a->_mp_d, an, b);
 | ||
|    rp[an] = cy;
 | ||
| -  an += (cy > 0);
 | ||
| +  an += cy;
 | ||
|  
 | ||
|    return an;
 | ||
|  }
 | ||
| @@ -1815,20 +1903,21 @@ mpz_abs_add (mpz_t r, const mpz_t a, const mpz_t b)
 | ||
|  {
 | ||
|    mp_size_t an = GMP_ABS (a->_mp_size);
 | ||
|    mp_size_t bn = GMP_ABS (b->_mp_size);
 | ||
| -  mp_size_t rn;
 | ||
|    mp_ptr rp;
 | ||
|    mp_limb_t cy;
 | ||
|  
 | ||
| -  rn = GMP_MAX (an, bn);
 | ||
| -  rp = MPZ_REALLOC (r, rn + 1);
 | ||
| -  if (an >= bn)
 | ||
| -    cy = mpn_add (rp, a->_mp_d, an, b->_mp_d, bn);
 | ||
| -  else
 | ||
| -    cy = mpn_add (rp, b->_mp_d, bn, a->_mp_d, an);
 | ||
| +  if (an < bn)
 | ||
| +    {
 | ||
| +      MPZ_SRCPTR_SWAP (a, b);
 | ||
| +      MP_SIZE_T_SWAP (an, bn);
 | ||
| +    }
 | ||
|  
 | ||
| -  rp[rn] = cy;
 | ||
| +  rp = MPZ_REALLOC (r, an + 1);
 | ||
| +  cy = mpn_add (rp, a->_mp_d, an, b->_mp_d, bn);
 | ||
| +
 | ||
| +  rp[an] = cy;
 | ||
|  
 | ||
| -  return rn + (cy > 0);
 | ||
| +  return an + cy;
 | ||
|  }
 | ||
|  
 | ||
|  static mp_size_t
 | ||
| @@ -1899,31 +1988,26 @@ mpz_mul_si (mpz_t r, const mpz_t u, long int v)
 | ||
|  void
 | ||
|  mpz_mul_ui (mpz_t r, const mpz_t u, unsigned long int v)
 | ||
|  {
 | ||
| -  mp_size_t un;
 | ||
| -  mpz_t t;
 | ||
| +  mp_size_t un, us;
 | ||
|    mp_ptr tp;
 | ||
|    mp_limb_t cy;
 | ||
|  
 | ||
| -  un = GMP_ABS (u->_mp_size);
 | ||
| +  us = u->_mp_size;
 | ||
|  
 | ||
| -  if (un == 0 || v == 0)
 | ||
| +  if (us == 0 || v == 0)
 | ||
|      {
 | ||
|        r->_mp_size = 0;
 | ||
|        return;
 | ||
|      }
 | ||
|  
 | ||
| -  mpz_init2 (t, (un + 1) * GMP_LIMB_BITS);
 | ||
| +  un = GMP_ABS (us);
 | ||
|  
 | ||
| -  tp = t->_mp_d;
 | ||
| +  tp = MPZ_REALLOC (r, un + 1);
 | ||
|    cy = mpn_mul_1 (tp, u->_mp_d, un, v);
 | ||
|    tp[un] = cy;
 | ||
|  
 | ||
| -  t->_mp_size = un + (cy > 0);
 | ||
| -  if (u->_mp_size < 0)
 | ||
| -    t->_mp_size = - t->_mp_size;
 | ||
| -
 | ||
| -  mpz_swap (r, t);
 | ||
| -  mpz_clear (t);
 | ||
| +  un += (cy > 0);
 | ||
| +  r->_mp_size = (us < 0) ? - un : un;
 | ||
|  }
 | ||
|  
 | ||
|  void
 | ||
| @@ -1934,8 +2018,8 @@ mpz_mul (mpz_t r, const mpz_t u, const mpz_t v)
 | ||
|    mpz_t t;
 | ||
|    mp_ptr tp;
 | ||
|  
 | ||
| -  un = GMP_ABS (u->_mp_size);
 | ||
| -  vn = GMP_ABS (v->_mp_size);
 | ||
| +  un = u->_mp_size;
 | ||
| +  vn = v->_mp_size;
 | ||
|  
 | ||
|    if (un == 0 || vn == 0)
 | ||
|      {
 | ||
| @@ -1943,7 +2027,10 @@ mpz_mul (mpz_t r, const mpz_t u, const mpz_t v)
 | ||
|        return;
 | ||
|      }
 | ||
|  
 | ||
| -  sign = (u->_mp_size ^ v->_mp_size) < 0;
 | ||
| +  sign = (un ^ vn) < 0;
 | ||
| +
 | ||
| +  un = GMP_ABS (un);
 | ||
| +  vn = GMP_ABS (vn);
 | ||
|  
 | ||
|    mpz_init2 (t, (un + vn) * GMP_LIMB_BITS);
 | ||
|  
 | ||
| @@ -1996,6 +2083,46 @@ mpz_mul_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t bits)
 | ||
|    r->_mp_size = (u->_mp_size < 0) ? - rn : rn;
 | ||
|  }
 | ||
|  
 | ||
| +void
 | ||
| +mpz_addmul_ui (mpz_t r, const mpz_t u, unsigned long int v)
 | ||
| +{
 | ||
| +  mpz_t t;
 | ||
| +  mpz_init (t);
 | ||
| +  mpz_mul_ui (t, u, v);
 | ||
| +  mpz_add (r, r, t);
 | ||
| +  mpz_clear (t);
 | ||
| +}
 | ||
| +
 | ||
| +void
 | ||
| +mpz_submul_ui (mpz_t r, const mpz_t u, unsigned long int v)
 | ||
| +{
 | ||
| +  mpz_t t;
 | ||
| +  mpz_init (t);
 | ||
| +  mpz_mul_ui (t, u, v);
 | ||
| +  mpz_sub (r, r, t);
 | ||
| +  mpz_clear (t);
 | ||
| +}
 | ||
| +
 | ||
| +void
 | ||
| +mpz_addmul (mpz_t r, const mpz_t u, const mpz_t v)
 | ||
| +{
 | ||
| +  mpz_t t;
 | ||
| +  mpz_init (t);
 | ||
| +  mpz_mul (t, u, v);
 | ||
| +  mpz_add (r, r, t);
 | ||
| +  mpz_clear (t);
 | ||
| +}
 | ||
| +
 | ||
| +void
 | ||
| +mpz_submul (mpz_t r, const mpz_t u, const mpz_t v)
 | ||
| +{
 | ||
| +  mpz_t t;
 | ||
| +  mpz_init (t);
 | ||
| +  mpz_mul (t, u, v);
 | ||
| +  mpz_sub (r, r, t);
 | ||
| +  mpz_clear (t);
 | ||
| +}
 | ||
| +
 | ||
|  
 | ||
|  /* MPZ division */
 | ||
|  enum mpz_div_round_mode { GMP_DIV_FLOOR, GMP_DIV_CEIL, GMP_DIV_TRUNC };
 | ||
| @@ -2060,8 +2187,7 @@ mpz_div_qr (mpz_t q, mpz_t r,
 | ||
|        mp_size_t qn, rn;
 | ||
|        mpz_t tq, tr;
 | ||
|  
 | ||
| -      mpz_init (tr);
 | ||
| -      mpz_set (tr, n);
 | ||
| +      mpz_init_set (tr, n);
 | ||
|        np = tr->_mp_d;
 | ||
|  
 | ||
|        qn = nn - dn + 1;
 | ||
| @@ -2171,10 +2297,7 @@ mpz_tdiv_r (mpz_t r, const mpz_t n, const mpz_t d)
 | ||
|  void
 | ||
|  mpz_mod (mpz_t r, const mpz_t n, const mpz_t d)
 | ||
|  {
 | ||
| -  if (d->_mp_size >= 0)
 | ||
| -    mpz_div_qr (NULL, r, n, d, GMP_DIV_FLOOR);
 | ||
| -  else
 | ||
| -    mpz_div_qr (NULL, r, n, d, GMP_DIV_CEIL);
 | ||
| +  mpz_div_qr (NULL, r, n, d, d->_mp_size >= 0 ? GMP_DIV_FLOOR : GMP_DIV_CEIL);
 | ||
|  }
 | ||
|  
 | ||
|  static void
 | ||
| @@ -2184,7 +2307,7 @@ mpz_div_q_2exp (mpz_t q, const mpz_t u, mp_bitcnt_t bit_index,
 | ||
|    mp_size_t un, qn;
 | ||
|    mp_size_t limb_cnt;
 | ||
|    mp_ptr qp;
 | ||
| -  mp_limb_t adjust;
 | ||
| +  int adjust;
 | ||
|  
 | ||
|    un = u->_mp_size;
 | ||
|    if (un == 0)
 | ||
| @@ -2226,7 +2349,8 @@ mpz_div_q_2exp (mpz_t q, const mpz_t u, mp_bitcnt_t bit_index,
 | ||
|  
 | ||
|    q->_mp_size = qn;
 | ||
|  
 | ||
| -  mpz_add_ui (q, q, adjust);
 | ||
| +  if (adjust)
 | ||
| +    mpz_add_ui (q, q, 1);
 | ||
|    if (un < 0)
 | ||
|      mpz_neg (q, q);
 | ||
|  }
 | ||
| @@ -2303,7 +2427,7 @@ mpz_div_r_2exp (mpz_t r, const mpz_t u, mp_bitcnt_t bit_index,
 | ||
|  	    {
 | ||
|  	      /* r > 0, need to flip sign. */
 | ||
|  	      rp[i] = ~rp[i] + 1;
 | ||
| -	      for (i++; i < rn; i++)
 | ||
| +	      while (++i < rn)
 | ||
|  		rp[i] = ~rp[i];
 | ||
|  
 | ||
|  	      rp[rn-1] &= mask;
 | ||
| @@ -2366,6 +2490,24 @@ mpz_divisible_p (const mpz_t n, const mpz_t d)
 | ||
|    return mpz_div_qr (NULL, NULL, n, d, GMP_DIV_TRUNC) == 0;
 | ||
|  }
 | ||
|  
 | ||
| +int
 | ||
| +mpz_congruent_p (const mpz_t a, const mpz_t b, const mpz_t m)
 | ||
| +{
 | ||
| +  mpz_t t;
 | ||
| +  int res;
 | ||
| +
 | ||
| +  /* a == b (mod 0) iff a == b */
 | ||
| +  if (mpz_sgn (m) == 0)
 | ||
| +    return (mpz_cmp (a, b) == 0);
 | ||
| +
 | ||
| +  mpz_init (t);
 | ||
| +  mpz_sub (t, a, b);
 | ||
| +  res = mpz_divisible_p (t, m);
 | ||
| +  mpz_clear (t);
 | ||
| +
 | ||
| +  return res;
 | ||
| +}
 | ||
| +
 | ||
|  static unsigned long
 | ||
|  mpz_div_qr_ui (mpz_t q, mpz_t r,
 | ||
|  	       const mpz_t n, unsigned long d, enum mpz_div_round_mode mode)
 | ||
| @@ -2579,32 +2721,16 @@ mpz_gcd_ui (mpz_t g, const mpz_t u, unsigned long v)
 | ||
|  }
 | ||
|  
 | ||
|  static mp_bitcnt_t
 | ||
| -mpz_make_odd (mpz_t r, const mpz_t u)
 | ||
| +mpz_make_odd (mpz_t r)
 | ||
|  {
 | ||
| -  mp_size_t un, rn, i;
 | ||
| -  mp_ptr rp;
 | ||
| -  unsigned shift;
 | ||
| -
 | ||
| -  un = GMP_ABS (u->_mp_size);
 | ||
| -  assert (un > 0);
 | ||
| +  mp_bitcnt_t shift;
 | ||
|  
 | ||
| -  for (i = 0; u->_mp_d[i] == 0; i++)
 | ||
| -    ;
 | ||
| -
 | ||
| -  gmp_ctz (shift, u->_mp_d[i]);
 | ||
| -
 | ||
| -  rn = un - i;
 | ||
| -  rp = MPZ_REALLOC (r, rn);
 | ||
| -  if (shift > 0)
 | ||
| -    {
 | ||
| -      mpn_rshift (rp, u->_mp_d + i, rn, shift);
 | ||
| -      rn -= (rp[rn-1] == 0);
 | ||
| -    }
 | ||
| -  else
 | ||
| -    mpn_copyi (rp, u->_mp_d + i, rn);
 | ||
| +  assert (r->_mp_size > 0);
 | ||
| +  /* Count trailing zeros, equivalent to mpn_scan1, because we know that there is a 1 */
 | ||
| +  shift = mpn_common_scan (r->_mp_d[0], 0, r->_mp_d, 0, 0);
 | ||
| +  mpz_tdiv_q_2exp (r, r, shift);
 | ||
|  
 | ||
| -  r->_mp_size = rn;
 | ||
| -  return i * GMP_LIMB_BITS + shift;
 | ||
| +  return shift;
 | ||
|  }
 | ||
|  
 | ||
|  void
 | ||
| @@ -2627,8 +2753,10 @@ mpz_gcd (mpz_t g, const mpz_t u, const mpz_t v)
 | ||
|    mpz_init (tu);
 | ||
|    mpz_init (tv);
 | ||
|  
 | ||
| -  uz = mpz_make_odd (tu, u);
 | ||
| -  vz = mpz_make_odd (tv, v);
 | ||
| +  mpz_abs (tu, u);
 | ||
| +  uz = mpz_make_odd (tu);
 | ||
| +  mpz_abs (tv, v);
 | ||
| +  vz = mpz_make_odd (tv);
 | ||
|    gz = GMP_MIN (uz, vz);
 | ||
|  
 | ||
|    if (tu->_mp_size < tv->_mp_size)
 | ||
| @@ -2644,7 +2772,7 @@ mpz_gcd (mpz_t g, const mpz_t u, const mpz_t v)
 | ||
|        {
 | ||
|  	int c;
 | ||
|  
 | ||
| -	mpz_make_odd (tu, tu);
 | ||
| +	mpz_make_odd (tu);
 | ||
|  	c = mpz_cmp (tu, tv);
 | ||
|  	if (c == 0)
 | ||
|  	  {
 | ||
| @@ -2706,8 +2834,10 @@ mpz_gcdext (mpz_t g, mpz_t s, mpz_t t, const mpz_t u, const mpz_t v)
 | ||
|    mpz_init (t0);
 | ||
|    mpz_init (t1);
 | ||
|  
 | ||
| -  uz = mpz_make_odd (tu, u);
 | ||
| -  vz = mpz_make_odd (tv, v);
 | ||
| +  mpz_abs (tu, u);
 | ||
| +  uz = mpz_make_odd (tu);
 | ||
| +  mpz_abs (tv, v);
 | ||
| +  vz = mpz_make_odd (tv);
 | ||
|    gz = GMP_MIN (uz, vz);
 | ||
|  
 | ||
|    uz -= gz;
 | ||
| @@ -2755,7 +2885,7 @@ mpz_gcdext (mpz_t g, mpz_t s, mpz_t t, const mpz_t u, const mpz_t v)
 | ||
|    if (tu->_mp_size > 0)
 | ||
|      {
 | ||
|        mp_bitcnt_t shift;
 | ||
| -      shift = mpz_make_odd (tu, tu);
 | ||
| +      shift = mpz_make_odd (tu);
 | ||
|        mpz_mul_2exp (t0, t0, shift);
 | ||
|        mpz_mul_2exp (s0, s0, shift);
 | ||
|        power += shift;
 | ||
| @@ -2778,7 +2908,7 @@ mpz_gcdext (mpz_t g, mpz_t s, mpz_t t, const mpz_t u, const mpz_t v)
 | ||
|  	      mpz_add (t0, t0, t1);
 | ||
|  	      mpz_add (s0, s0, s1);
 | ||
|  
 | ||
| -	      shift = mpz_make_odd (tv, tv);
 | ||
| +	      shift = mpz_make_odd (tv);
 | ||
|  	      mpz_mul_2exp (t1, t1, shift);
 | ||
|  	      mpz_mul_2exp (s1, s1, shift);
 | ||
|  	    }
 | ||
| @@ -2788,7 +2918,7 @@ mpz_gcdext (mpz_t g, mpz_t s, mpz_t t, const mpz_t u, const mpz_t v)
 | ||
|  	      mpz_add (t1, t0, t1);
 | ||
|  	      mpz_add (s1, s0, s1);
 | ||
|  
 | ||
| -	      shift = mpz_make_odd (tu, tu);
 | ||
| +	      shift = mpz_make_odd (tu);
 | ||
|  	      mpz_mul_2exp (t0, t0, shift);
 | ||
|  	      mpz_mul_2exp (s0, s0, shift);
 | ||
|  	    }
 | ||
| @@ -2926,12 +3056,16 @@ mpz_pow_ui (mpz_t r, const mpz_t b, unsigned long e)
 | ||
|    mpz_t tr;
 | ||
|    mpz_init_set_ui (tr, 1);
 | ||
|  
 | ||
| -  for (bit = GMP_ULONG_HIGHBIT; bit > 0; bit >>= 1)
 | ||
| +  bit = GMP_ULONG_HIGHBIT;
 | ||
| +  do
 | ||
|      {
 | ||
|        mpz_mul (tr, tr, tr);
 | ||
|        if (e & bit)
 | ||
|  	mpz_mul (tr, tr, b);
 | ||
| +      bit >>= 1;
 | ||
|      }
 | ||
| +  while (bit > 0);
 | ||
| +
 | ||
|    mpz_swap (r, tr);
 | ||
|    mpz_clear (tr);
 | ||
|  }
 | ||
| @@ -2987,7 +3121,7 @@ mpz_powm (mpz_t r, const mpz_t b, const mpz_t e, const mpz_t m)
 | ||
|    if (e->_mp_size < 0)
 | ||
|      {
 | ||
|        if (!mpz_invert (base, b, m))
 | ||
| -	gmp_die ("mpz_powm: Negative exponent and non-invertibe base.");
 | ||
| +	gmp_die ("mpz_powm: Negative exponent and non-invertible base.");
 | ||
|      }
 | ||
|    else
 | ||
|      {
 | ||
| @@ -3019,7 +3153,8 @@ mpz_powm (mpz_t r, const mpz_t b, const mpz_t e, const mpz_t m)
 | ||
|        mp_limb_t w = e->_mp_d[en];
 | ||
|        mp_limb_t bit;
 | ||
|  
 | ||
| -      for (bit = GMP_LIMB_HIGHBIT; bit > 0; bit >>= 1)
 | ||
| +      bit = GMP_LIMB_HIGHBIT;
 | ||
| +      do
 | ||
|  	{
 | ||
|  	  mpz_mul (tr, tr, tr);
 | ||
|  	  if (w & bit)
 | ||
| @@ -3029,7 +3164,9 @@ mpz_powm (mpz_t r, const mpz_t b, const mpz_t e, const mpz_t m)
 | ||
|  	      mpn_div_qr_preinv (NULL, tr->_mp_d, tr->_mp_size, mp, mn, &minv);
 | ||
|  	      tr->_mp_size = mpn_normalized_size (tr->_mp_d, mn);
 | ||
|  	    }
 | ||
| +	  bit >>= 1;
 | ||
|  	}
 | ||
| +      while (bit > 0);
 | ||
|      }
 | ||
|  
 | ||
|    /* Final reduction */
 | ||
| @@ -3064,21 +3201,26 @@ mpz_rootrem (mpz_t x, mpz_t r, const mpz_t y, unsigned long z)
 | ||
|    mpz_t t, u;
 | ||
|  
 | ||
|    sgn = y->_mp_size < 0;
 | ||
| -  if (sgn && (z & 1) == 0)
 | ||
| +  if ((~z & sgn) != 0)
 | ||
|      gmp_die ("mpz_rootrem: Negative argument, with even root.");
 | ||
|    if (z == 0)
 | ||
|      gmp_die ("mpz_rootrem: Zeroth root.");
 | ||
|  
 | ||
|    if (mpz_cmpabs_ui (y, 1) <= 0) {
 | ||
| -    mpz_set (x, y);
 | ||
| +    if (x)
 | ||
| +      mpz_set (x, y);
 | ||
|      if (r)
 | ||
|        r->_mp_size = 0;
 | ||
|      return;
 | ||
|    }
 | ||
|  
 | ||
| -  mpz_init (t);
 | ||
|    mpz_init (u);
 | ||
| -  mpz_setbit (t, mpz_sizeinbase (y, 2) / z + 1);
 | ||
| +  {
 | ||
| +    mp_bitcnt_t tb;
 | ||
| +    tb = mpz_sizeinbase (y, 2) / z + 1;
 | ||
| +    mpz_init2 (t, tb);
 | ||
| +    mpz_setbit (t, tb);
 | ||
| +  }
 | ||
|  
 | ||
|    if (z == 2) /* simplify sqrt loop: z-1 == 1 */
 | ||
|      do {
 | ||
| @@ -3110,7 +3252,8 @@ mpz_rootrem (mpz_t x, mpz_t r, const mpz_t y, unsigned long z)
 | ||
|      mpz_pow_ui (t, u, z);
 | ||
|      mpz_sub (r, y, t);
 | ||
|    }
 | ||
| -  mpz_swap (x, u);
 | ||
| +  if (x)
 | ||
| +    mpz_swap (x, u);
 | ||
|    mpz_clear (u);
 | ||
|    mpz_clear (t);
 | ||
|  }
 | ||
| @@ -3142,19 +3285,56 @@ mpz_sqrt (mpz_t s, const mpz_t u)
 | ||
|    mpz_rootrem (s, NULL, u, 2);
 | ||
|  }
 | ||
|  
 | ||
| +int
 | ||
| +mpz_perfect_square_p (const mpz_t u)
 | ||
| +{
 | ||
| +  if (u->_mp_size <= 0)
 | ||
| +    return (u->_mp_size == 0);
 | ||
| +  else
 | ||
| +    return mpz_root (NULL, u, 2);
 | ||
| +}
 | ||
| +
 | ||
| +int
 | ||
| +mpn_perfect_square_p (mp_srcptr p, mp_size_t n)
 | ||
| +{
 | ||
| +  mpz_t t;
 | ||
| +
 | ||
| +  assert (n > 0);
 | ||
| +  assert (p [n-1] != 0);
 | ||
| +  return mpz_root (NULL, mpz_roinit_n (t, p, n), 2);
 | ||
| +}
 | ||
| +
 | ||
| +mp_size_t
 | ||
| +mpn_sqrtrem (mp_ptr sp, mp_ptr rp, mp_srcptr p, mp_size_t n)
 | ||
| +{
 | ||
| +  mpz_t s, r, u;
 | ||
| +  mp_size_t res;
 | ||
| +
 | ||
| +  assert (n > 0);
 | ||
| +  assert (p [n-1] != 0);
 | ||
| +
 | ||
| +  mpz_init (r);
 | ||
| +  mpz_init (s);
 | ||
| +  mpz_rootrem (s, r, mpz_roinit_n (u, p, n), 2);
 | ||
| +
 | ||
| +  assert (s->_mp_size == (n+1)/2);
 | ||
| +  mpn_copyd (sp, s->_mp_d, s->_mp_size);
 | ||
| +  mpz_clear (s);
 | ||
| +  res = r->_mp_size;
 | ||
| +  if (rp)
 | ||
| +    mpn_copyd (rp, r->_mp_d, res);
 | ||
| +  mpz_clear (r);
 | ||
| +  return res;
 | ||
| +}
 | ||
|  
 | ||
|  /* Combinatorics */
 | ||
|  
 | ||
|  void
 | ||
|  mpz_fac_ui (mpz_t x, unsigned long n)
 | ||
|  {
 | ||
| -  if (n < 2) {
 | ||
| -    mpz_set_ui (x, 1);
 | ||
| -    return;
 | ||
| -  }
 | ||
| -  mpz_set_ui (x, n);
 | ||
| -  for (;--n > 1;)
 | ||
| -    mpz_mul_ui (x, x, n);
 | ||
| +  mpz_set_ui (x, n + (n == 0));
 | ||
| +  for (;n > 2;)
 | ||
| +    mpz_mul_ui (x, x, --n);
 | ||
|  }
 | ||
|  
 | ||
|  void
 | ||
| @@ -3162,25 +3342,120 @@ mpz_bin_uiui (mpz_t r, unsigned long n, unsigned long k)
 | ||
|  {
 | ||
|    mpz_t t;
 | ||
|  
 | ||
| -  if (k > n) {
 | ||
| -    r->_mp_size = 0;
 | ||
| -    return;
 | ||
| -  }
 | ||
| -  mpz_fac_ui (r, n);
 | ||
| +  mpz_set_ui (r, k <= n);
 | ||
| +
 | ||
| +  if (k > (n >> 1))
 | ||
| +    k = (k <= n) ? n - k : 0;
 | ||
| +
 | ||
|    mpz_init (t);
 | ||
|    mpz_fac_ui (t, k);
 | ||
| -  mpz_divexact (r, r, t);
 | ||
| -  mpz_fac_ui (t, n - k);
 | ||
| +
 | ||
| +  for (; k > 0; k--)
 | ||
| +      mpz_mul_ui (r, r, n--);
 | ||
| +
 | ||
|    mpz_divexact (r, r, t);
 | ||
|    mpz_clear (t);
 | ||
|  }
 | ||
|  
 | ||
|  
 | ||
| +/* Primality testing */
 | ||
| +static int
 | ||
| +gmp_millerrabin (const mpz_t n, const mpz_t nm1, mpz_t y,
 | ||
| +		 const mpz_t q, mp_bitcnt_t k)
 | ||
| +{
 | ||
| +  mp_bitcnt_t i;
 | ||
| +
 | ||
| +  /* Caller must initialize y to the base. */
 | ||
| +  mpz_powm (y, y, q, n);
 | ||
| +
 | ||
| +  if (mpz_cmp_ui (y, 1) == 0 || mpz_cmp (y, nm1) == 0)
 | ||
| +    return 1;
 | ||
| +
 | ||
| +  for (i = 1; i < k; i++)
 | ||
| +    {
 | ||
| +      mpz_powm_ui (y, y, 2, n);
 | ||
| +      if (mpz_cmp (y, nm1) == 0)
 | ||
| +	return 1;
 | ||
| +      if (mpz_cmp_ui (y, 1) == 0)
 | ||
| +	return 0;
 | ||
| +    }
 | ||
| +  return 0;
 | ||
| +}
 | ||
| +
 | ||
| +/* This product is 0xc0cfd797, and fits in 32 bits. */
 | ||
| +#define GMP_PRIME_PRODUCT \
 | ||
| +  (3UL*5UL*7UL*11UL*13UL*17UL*19UL*23UL*29UL)
 | ||
| +
 | ||
| +/* Bit (p+1)/2 is set, for each odd prime <= 61 */
 | ||
| +#define GMP_PRIME_MASK 0xc96996dcUL
 | ||
| +
 | ||
| +int
 | ||
| +mpz_probab_prime_p (const mpz_t n, int reps)
 | ||
| +{
 | ||
| +  mpz_t nm1;
 | ||
| +  mpz_t q;
 | ||
| +  mpz_t y;
 | ||
| +  mp_bitcnt_t k;
 | ||
| +  int is_prime;
 | ||
| +  int j;
 | ||
| +
 | ||
| +  /* Note that we use the absolute value of n only, for compatibility
 | ||
| +     with the real GMP. */
 | ||
| +  if (mpz_even_p (n))
 | ||
| +    return (mpz_cmpabs_ui (n, 2) == 0) ? 2 : 0;
 | ||
| +
 | ||
| +  /* Above test excludes n == 0 */
 | ||
| +  assert (n->_mp_size != 0);
 | ||
| +  
 | ||
| +  if (mpz_cmpabs_ui (n, 64) < 0)
 | ||
| +    return (GMP_PRIME_MASK >> (n->_mp_d[0] >> 1)) & 2;
 | ||
| +
 | ||
| +  if (mpz_gcd_ui (NULL, n, GMP_PRIME_PRODUCT) != 1)
 | ||
| +    return 0;
 | ||
| +
 | ||
| +  /* All prime factors are >= 31. */
 | ||
| +  if (mpz_cmpabs_ui (n, 31*31) < 0)
 | ||
| +    return 2;
 | ||
| +  
 | ||
| +  /* Use Miller-Rabin, with a deterministic sequence of bases, a[j] =
 | ||
| +     j^2 + j + 41 using Euler's polynomial. We potentially stop early,
 | ||
| +     if a[j] >= n - 1. Since n >= 31*31, this can happen only if reps >
 | ||
| +     30 (a[30] == 971 > 31*31 == 961). */
 | ||
| +
 | ||
| +  mpz_init (nm1);
 | ||
| +  mpz_init (q);
 | ||
| +  mpz_init (y);
 | ||
| +
 | ||
| +  /* Find q and k, where q is odd and n = 1 + 2**k * q.  */
 | ||
| +  mpz_abs (nm1, n);
 | ||
| +  mpz_sub_ui (nm1, nm1, 1);
 | ||
| +  k = mpz_scan1 (nm1, 0);
 | ||
| +  mpz_tdiv_q_2exp (q, nm1, k);
 | ||
| +  
 | ||
| +  for (j = 0, is_prime = 1; is_prime && j < reps; j++)
 | ||
| +    {
 | ||
| +      mpz_set_ui (y, (unsigned long) j*j+j+41);
 | ||
| +      if (mpz_cmp (y, nm1) >= 0)
 | ||
| +	{
 | ||
| +	  /* Don't try any further bases. */
 | ||
| +	  assert (j >= 30);
 | ||
| +	  break;
 | ||
| +	}
 | ||
| +      is_prime &= gmp_millerrabin (n, nm1, y, q, k);
 | ||
| +    }
 | ||
| +  mpz_clear (nm1);
 | ||
| +  mpz_clear (q);
 | ||
| +  mpz_clear (y);
 | ||
| +    
 | ||
| +  return is_prime;
 | ||
| +}
 | ||
| +
 | ||
| +
 | ||
|  /* Logical operations and bit manipulation. */
 | ||
|  
 | ||
|  /* Numbers are treated as if represented in two's complement (and
 | ||
|     infinitely sign extended). For a negative values we get the two's
 | ||
| -   complement from -x = ~x + 1, where ~ is bitwise complementt.
 | ||
| +   complement from -x = ~x + 1, where ~ is bitwise complement.
 | ||
|     Negation transforms
 | ||
|  
 | ||
|       xxxx10...0
 | ||
| @@ -3374,7 +3649,8 @@ mpz_and (mpz_t r, const mpz_t u, const mpz_t v)
 | ||
|    up = u->_mp_d;
 | ||
|    vp = v->_mp_d;
 | ||
|  
 | ||
| -  for (i = 0; i < vn; i++)
 | ||
| +  i = 0;
 | ||
| +  do
 | ||
|      {
 | ||
|        ul = (up[i] ^ ux) + uc;
 | ||
|        uc = ul < uc;
 | ||
| @@ -3386,6 +3662,7 @@ mpz_and (mpz_t r, const mpz_t u, const mpz_t v)
 | ||
|        rc = rl < rc;
 | ||
|        rp[i] = rl;
 | ||
|      }
 | ||
| +  while (++i < vn);
 | ||
|    assert (vc == 0);
 | ||
|  
 | ||
|    for (; i < rn; i++)
 | ||
| @@ -3445,7 +3722,8 @@ mpz_ior (mpz_t r, const mpz_t u, const mpz_t v)
 | ||
|    up = u->_mp_d;
 | ||
|    vp = v->_mp_d;
 | ||
|  
 | ||
| -  for (i = 0; i < vn; i++)
 | ||
| +  i = 0;
 | ||
| +  do
 | ||
|      {
 | ||
|        ul = (up[i] ^ ux) + uc;
 | ||
|        uc = ul < uc;
 | ||
| @@ -3457,6 +3735,7 @@ mpz_ior (mpz_t r, const mpz_t u, const mpz_t v)
 | ||
|        rc = rl < rc;
 | ||
|        rp[i] = rl;
 | ||
|      }
 | ||
| +  while (++i < vn);
 | ||
|    assert (vc == 0);
 | ||
|  
 | ||
|    for (; i < rn; i++)
 | ||
| @@ -3512,7 +3791,8 @@ mpz_xor (mpz_t r, const mpz_t u, const mpz_t v)
 | ||
|    up = u->_mp_d;
 | ||
|    vp = v->_mp_d;
 | ||
|  
 | ||
| -  for (i = 0; i < vn; i++)
 | ||
| +  i = 0;
 | ||
| +  do
 | ||
|      {
 | ||
|        ul = (up[i] ^ ux) + uc;
 | ||
|        uc = ul < uc;
 | ||
| @@ -3524,6 +3804,7 @@ mpz_xor (mpz_t r, const mpz_t u, const mpz_t v)
 | ||
|        rc = rl < rc;
 | ||
|        rp[i] = rl;
 | ||
|      }
 | ||
| +  while (++i < vn);
 | ||
|    assert (vc == 0);
 | ||
|  
 | ||
|    for (; i < un; i++)
 | ||
| @@ -3561,20 +3842,28 @@ gmp_popcount_limb (mp_limb_t x)
 | ||
|  }
 | ||
|  
 | ||
|  mp_bitcnt_t
 | ||
| -mpz_popcount (const mpz_t u)
 | ||
| +mpn_popcount (mp_srcptr p, mp_size_t n)
 | ||
|  {
 | ||
| -  mp_size_t un, i;
 | ||
| +  mp_size_t i;
 | ||
|    mp_bitcnt_t c;
 | ||
|  
 | ||
| +  for (c = 0, i = 0; i < n; i++)
 | ||
| +    c += gmp_popcount_limb (p[i]);
 | ||
| +
 | ||
| +  return c;
 | ||
| +}
 | ||
| +
 | ||
| +mp_bitcnt_t
 | ||
| +mpz_popcount (const mpz_t u)
 | ||
| +{
 | ||
| +  mp_size_t un;
 | ||
| +
 | ||
|    un = u->_mp_size;
 | ||
|  
 | ||
|    if (un < 0)
 | ||
|      return ~(mp_bitcnt_t) 0;
 | ||
|  
 | ||
| -  for (c = 0, i = 0; i < un; i++)
 | ||
| -    c += gmp_popcount_limb (u->_mp_d[i]);
 | ||
| -
 | ||
| -  return c;
 | ||
| +  return mpn_popcount (u->_mp_d, un);
 | ||
|  }
 | ||
|  
 | ||
|  mp_bitcnt_t
 | ||
| @@ -3591,16 +3880,13 @@ mpz_hamdist (const mpz_t u, const mpz_t v)
 | ||
|    if ( (un ^ vn) < 0)
 | ||
|      return ~(mp_bitcnt_t) 0;
 | ||
|  
 | ||
| -  if (un < 0)
 | ||
| +  comp = - (uc = vc = (un < 0));
 | ||
| +  if (uc)
 | ||
|      {
 | ||
|        assert (vn < 0);
 | ||
|        un = -un;
 | ||
|        vn = -vn;
 | ||
| -      uc = vc = 1;
 | ||
| -      comp = - (mp_limb_t) 1;
 | ||
|      }
 | ||
| -  else
 | ||
| -    uc = vc = comp = 0;
 | ||
|  
 | ||
|    up = u->_mp_d;
 | ||
|    vp = v->_mp_d;
 | ||
| @@ -3636,10 +3922,8 @@ mpz_scan1 (const mpz_t u, mp_bitcnt_t starting_bit)
 | ||
|  {
 | ||
|    mp_ptr up;
 | ||
|    mp_size_t us, un, i;
 | ||
| -  mp_limb_t limb, ux, uc;
 | ||
| -  unsigned cnt;
 | ||
| +  mp_limb_t limb, ux;
 | ||
|  
 | ||
| -  up = u->_mp_d;
 | ||
|    us = u->_mp_size;
 | ||
|    un = GMP_ABS (us);
 | ||
|    i = starting_bit / GMP_LIMB_BITS;
 | ||
| @@ -3649,36 +3933,24 @@ mpz_scan1 (const mpz_t u, mp_bitcnt_t starting_bit)
 | ||
|    if (i >= un)
 | ||
|      return (us >= 0 ? ~(mp_bitcnt_t) 0 : starting_bit);
 | ||
|  
 | ||
| -  if (us < 0)
 | ||
| -    {
 | ||
| -      ux = GMP_LIMB_MAX;
 | ||
| -      uc = mpn_zero_p (up, i);
 | ||
| -    }
 | ||
| -  else
 | ||
| -    ux = uc = 0;
 | ||
| -
 | ||
| -  limb = (ux ^ up[i]) + uc;
 | ||
| -  uc = limb < uc;
 | ||
| -
 | ||
| -  /* Mask to 0 all bits before starting_bit, thus ignoring them. */
 | ||
| -  limb &= (GMP_LIMB_MAX << (starting_bit % GMP_LIMB_BITS));
 | ||
| +  up = u->_mp_d;
 | ||
| +  ux = 0;
 | ||
| +  limb = up[i];
 | ||
|  
 | ||
| -  while (limb == 0)
 | ||
| +  if (starting_bit != 0)
 | ||
|      {
 | ||
| -      i++;
 | ||
| -      if (i == un)
 | ||
| +      if (us < 0)
 | ||
|  	{
 | ||
| -	  assert (uc == 0);
 | ||
| -	  /* For the u > 0 case, this can happen only for the first
 | ||
| -	     masked limb. For the u < 0 case, it happens when the
 | ||
| -	     highest limbs of the absolute value are all ones. */
 | ||
| -	  return (us >= 0 ? ~(mp_bitcnt_t) 0 : un * GMP_LIMB_BITS);
 | ||
| +	  ux = mpn_zero_p (up, i);
 | ||
| +	  limb = ~ limb + ux;
 | ||
| +	  ux = - (mp_limb_t) (limb >= ux);
 | ||
|  	}
 | ||
| -      limb = (ux ^ up[i]) + uc;
 | ||
| -      uc = limb < uc;
 | ||
| +
 | ||
| +      /* Mask to 0 all bits before starting_bit, thus ignoring them. */
 | ||
| +      limb &= (GMP_LIMB_MAX << (starting_bit % GMP_LIMB_BITS));
 | ||
|      }
 | ||
| -  gmp_ctz (cnt, limb);
 | ||
| -  return (mp_bitcnt_t) i * GMP_LIMB_BITS + cnt;
 | ||
| +
 | ||
| +  return mpn_common_scan (limb, i, up, un, ux);
 | ||
|  }
 | ||
|  
 | ||
|  mp_bitcnt_t
 | ||
| @@ -3686,46 +3958,28 @@ mpz_scan0 (const mpz_t u, mp_bitcnt_t starting_bit)
 | ||
|  {
 | ||
|    mp_ptr up;
 | ||
|    mp_size_t us, un, i;
 | ||
| -  mp_limb_t limb, ux, uc;
 | ||
| -  unsigned cnt;
 | ||
| +  mp_limb_t limb, ux;
 | ||
|  
 | ||
| -  up = u->_mp_d;
 | ||
|    us = u->_mp_size;
 | ||
| +  ux = - (mp_limb_t) (us >= 0);
 | ||
|    un = GMP_ABS (us);
 | ||
|    i = starting_bit / GMP_LIMB_BITS;
 | ||
|  
 | ||
|    /* When past end, there's an immediate 0 bit for u>=0, or no 0 bits for
 | ||
|       u<0.  Notice this test picks up all cases of u==0 too. */
 | ||
|    if (i >= un)
 | ||
| -    return (us >= 0 ? starting_bit : ~(mp_bitcnt_t) 0);
 | ||
| +    return (ux ? starting_bit : ~(mp_bitcnt_t) 0);
 | ||
|  
 | ||
| -  if (us < 0)
 | ||
| -    {
 | ||
| -      ux = GMP_LIMB_MAX;
 | ||
| -      uc = mpn_zero_p (up, i);
 | ||
| -    }
 | ||
| -  else
 | ||
| -    ux = uc = 0;
 | ||
| +  up = u->_mp_d;
 | ||
| +  limb = up[i] ^ ux;
 | ||
|  
 | ||
| -  limb = (ux ^ up[i]) + uc;
 | ||
| -  uc = limb < uc;
 | ||
| +  if (ux == 0)
 | ||
| +    limb -= mpn_zero_p (up, i); /* limb = ~(~limb + zero_p) */
 | ||
|  
 | ||
| -  /* Mask to 1 all bits before starting_bit, thus ignoring them. */
 | ||
| -  limb |= ((mp_limb_t) 1 << (starting_bit % GMP_LIMB_BITS)) - 1;
 | ||
| +  /* Mask all bits before starting_bit, thus ignoring them. */
 | ||
| +  limb &= (GMP_LIMB_MAX << (starting_bit % GMP_LIMB_BITS));
 | ||
|  
 | ||
| -  while (limb == GMP_LIMB_MAX)
 | ||
| -    {
 | ||
| -      i++;
 | ||
| -      if (i == un)
 | ||
| -	{
 | ||
| -	  assert (uc == 0);
 | ||
| -	  return (us >= 0 ? un * GMP_LIMB_BITS : ~(mp_bitcnt_t) 0);
 | ||
| -	}
 | ||
| -      limb = (ux ^ up[i]) + uc;
 | ||
| -      uc = limb < uc;
 | ||
| -    }
 | ||
| -  gmp_ctz (cnt, ~limb);
 | ||
| -  return (mp_bitcnt_t) i * GMP_LIMB_BITS + cnt;
 | ||
| +  return mpn_common_scan (limb, i, up, un, ux);
 | ||
|  }
 | ||
|  
 | ||
|  
 | ||
| @@ -3771,11 +4025,15 @@ mpz_sizeinbase (const mpz_t u, int base)
 | ||
|    mpn_copyi (tp, up, un);
 | ||
|    mpn_div_qr_1_invert (&bi, base);
 | ||
|  
 | ||
| -  for (ndigits = 0; un > 0; ndigits++)
 | ||
| +  ndigits = 0;
 | ||
| +  do
 | ||
|      {
 | ||
| +      ndigits++;
 | ||
|        mpn_div_qr_1_preinv (tp, tp, un, &bi);
 | ||
|        un -= (tp[un-1] == 0);
 | ||
|      }
 | ||
| +  while (un > 0);
 | ||
| +
 | ||
|    gmp_free (tp);
 | ||
|    return ndigits;
 | ||
|  }
 | ||
| @@ -3852,7 +4110,6 @@ mpz_set_str (mpz_t r, const char *sp, int base)
 | ||
|    mp_size_t rn, alloc;
 | ||
|    mp_ptr rp;
 | ||
|    size_t sn;
 | ||
| -  size_t dn;
 | ||
|    int sign;
 | ||
|    unsigned char *dp;
 | ||
|  
 | ||
| @@ -3861,13 +4118,8 @@ mpz_set_str (mpz_t r, const char *sp, int base)
 | ||
|    while (isspace( (unsigned char) *sp))
 | ||
|      sp++;
 | ||
|  
 | ||
| -  if (*sp == '-')
 | ||
| -    {
 | ||
| -      sign = 1;
 | ||
| -      sp++;
 | ||
| -    }
 | ||
| -  else
 | ||
| -    sign = 0;
 | ||
| +  sign = (*sp == '-');
 | ||
| +  sp += sign;
 | ||
|  
 | ||
|    if (base == 0)
 | ||
|      {
 | ||
| @@ -3894,7 +4146,7 @@ mpz_set_str (mpz_t r, const char *sp, int base)
 | ||
|    sn = strlen (sp);
 | ||
|    dp = gmp_xalloc (sn + (sn == 0));
 | ||
|  
 | ||
| -  for (dn = 0; *sp; sp++)
 | ||
| +  for (sn = 0; *sp; sp++)
 | ||
|      {
 | ||
|        unsigned digit;
 | ||
|  
 | ||
| @@ -3916,7 +4168,7 @@ mpz_set_str (mpz_t r, const char *sp, int base)
 | ||
|  	  return -1;
 | ||
|  	}
 | ||
|  
 | ||
| -      dp[dn++] = digit;
 | ||
| +      dp[sn++] = digit;
 | ||
|      }
 | ||
|  
 | ||
|    bits = mpn_base_power_of_two_p (base);
 | ||
| @@ -3925,7 +4177,7 @@ mpz_set_str (mpz_t r, const char *sp, int base)
 | ||
|      {
 | ||
|        alloc = (sn * bits + GMP_LIMB_BITS - 1) / GMP_LIMB_BITS;
 | ||
|        rp = MPZ_REALLOC (r, alloc);
 | ||
| -      rn = mpn_set_str_bits (rp, dp, dn, bits);
 | ||
| +      rn = mpn_set_str_bits (rp, dp, sn, bits);
 | ||
|      }
 | ||
|    else
 | ||
|      {
 | ||
| @@ -3933,7 +4185,7 @@ mpz_set_str (mpz_t r, const char *sp, int base)
 | ||
|        mpn_get_base_info (&info, base);
 | ||
|        alloc = (sn + info.exp - 1) / info.exp;
 | ||
|        rp = MPZ_REALLOC (r, alloc);
 | ||
| -      rn = mpn_set_str_other (rp, dp, dn, base, &info);
 | ||
| +      rn = mpn_set_str_other (rp, dp, sn, base, &info);
 | ||
|      }
 | ||
|    assert (rn <= alloc);
 | ||
|    gmp_free (dp);
 | ||
| @@ -3967,14 +4219,9 @@ mpz_out_str (FILE *stream, int base, const mpz_t x)
 | ||
|  static int
 | ||
|  gmp_detect_endian (void)
 | ||
|  {
 | ||
| -  static const int i = 1;
 | ||
| +  static const int i = 2;
 | ||
|    const unsigned char *p = (const unsigned char *) &i;
 | ||
| -  if (*p == 1)
 | ||
| -    /* Little endian */
 | ||
| -    return -1;
 | ||
| -  else
 | ||
| -    /* Big endian */
 | ||
| -    return 1;
 | ||
| +  return 1 - *p;
 | ||
|  }
 | ||
|  
 | ||
|  /* Import and export. Does not support nails. */
 | ||
| @@ -4037,29 +4284,22 @@ mpz_import (mpz_t r, size_t count, int order, size_t size, int endian,
 | ||
|  	    }
 | ||
|  	}
 | ||
|      }
 | ||
| -  if (bytes > 0)
 | ||
| +  assert (i + (bytes > 0) == rn);
 | ||
| +  if (limb != 0)
 | ||
|      rp[i++] = limb;
 | ||
| -  assert (i == rn);
 | ||
| +  else
 | ||
| +    i = mpn_normalized_size (rp, i);
 | ||
|  
 | ||
| -  r->_mp_size = mpn_normalized_size (rp, i);
 | ||
| +  r->_mp_size = i;
 | ||
|  }
 | ||
|  
 | ||
|  void *
 | ||
|  mpz_export (void *r, size_t *countp, int order, size_t size, int endian,
 | ||
|  	    size_t nails, const mpz_t u)
 | ||
|  {
 | ||
| -  unsigned char *p;
 | ||
| -  ptrdiff_t word_step;
 | ||
| -  size_t count, k;
 | ||
| +  size_t count;
 | ||
|    mp_size_t un;
 | ||
|  
 | ||
| -  /* The current (partial) limb. */
 | ||
| -  mp_limb_t limb;
 | ||
| -  /* The number of bytes left to to in this limb. */
 | ||
| -  size_t bytes;
 | ||
| -  /* The index where the limb was read. */
 | ||
| -  mp_size_t i;
 | ||
| -
 | ||
|    if (nails != 0)
 | ||
|      gmp_die ("mpz_import: Nails not supported.");
 | ||
|  
 | ||
| @@ -4067,62 +4307,74 @@ mpz_export (void *r, size_t *countp, int order, size_t size, int endian,
 | ||
|    assert (endian >= -1 && endian <= 1);
 | ||
|    assert (size > 0 || u->_mp_size == 0);
 | ||
|  
 | ||
| -  un = GMP_ABS (u->_mp_size);
 | ||
| -  if (un == 0)
 | ||
| -    {
 | ||
| -      if (countp)
 | ||
| -	*countp = 0;
 | ||
| -      return r;
 | ||
| -    }
 | ||
| +  un = u->_mp_size;
 | ||
| +  count = 0;
 | ||
| +  if (un != 0)
 | ||
| +    {
 | ||
| +      size_t k;
 | ||
| +      unsigned char *p;
 | ||
| +      ptrdiff_t word_step;
 | ||
| +      /* The current (partial) limb. */
 | ||
| +      mp_limb_t limb;
 | ||
| +      /* The number of bytes left to to in this limb. */
 | ||
| +      size_t bytes;
 | ||
| +      /* The index where the limb was read. */
 | ||
| +      mp_size_t i;
 | ||
|  
 | ||
| -  /* Count bytes in top limb. */
 | ||
| -  for (limb = u->_mp_d[un-1], k = 0; limb > 0; k++, limb >>= CHAR_BIT)
 | ||
| -    ;
 | ||
| +      un = GMP_ABS (un);
 | ||
|  
 | ||
| -  assert (k > 0);
 | ||
| +      /* Count bytes in top limb. */
 | ||
| +      limb = u->_mp_d[un-1];
 | ||
| +      assert (limb != 0);
 | ||
|  
 | ||
| -  count = (k + (un-1) * sizeof (mp_limb_t) + size - 1) / size;
 | ||
| +      k = 0;
 | ||
| +      do {
 | ||
| +	k++; limb >>= CHAR_BIT;
 | ||
| +      } while (limb != 0);
 | ||
|  
 | ||
| -  if (!r)
 | ||
| -    r = gmp_xalloc (count * size);
 | ||
| +      count = (k + (un-1) * sizeof (mp_limb_t) + size - 1) / size;
 | ||
|  
 | ||
| -  if (endian == 0)
 | ||
| -    endian = gmp_detect_endian ();
 | ||
| +      if (!r)
 | ||
| +	r = gmp_xalloc (count * size);
 | ||
|  
 | ||
| -  p = (unsigned char *) r;
 | ||
| +      if (endian == 0)
 | ||
| +	endian = gmp_detect_endian ();
 | ||
|  
 | ||
| -  word_step = (order != endian) ? 2 * size : 0;
 | ||
| +      p = (unsigned char *) r;
 | ||
|  
 | ||
| -  /* Process bytes from the least significant end, so point p at the
 | ||
| -     least significant word. */
 | ||
| -  if (order == 1)
 | ||
| -    {
 | ||
| -      p += size * (count - 1);
 | ||
| -      word_step = - word_step;
 | ||
| -    }
 | ||
| +      word_step = (order != endian) ? 2 * size : 0;
 | ||
|  
 | ||
| -  /* And at least significant byte of that word. */
 | ||
| -  if (endian == 1)
 | ||
| -    p += (size - 1);
 | ||
| +      /* Process bytes from the least significant end, so point p at the
 | ||
| +	 least significant word. */
 | ||
| +      if (order == 1)
 | ||
| +	{
 | ||
| +	  p += size * (count - 1);
 | ||
| +	  word_step = - word_step;
 | ||
| +	}
 | ||
|  
 | ||
| -  for (bytes = 0, i = 0, k = 0; k < count; k++, p += word_step)
 | ||
| -      {
 | ||
| -	size_t j;
 | ||
| -	for (j = 0; j < size; j++, p -= (ptrdiff_t) endian)
 | ||
| -	  {
 | ||
| -	    if (bytes == 0)
 | ||
| -	      {
 | ||
| -		if (i < un)
 | ||
| -		  limb = u->_mp_d[i++];
 | ||
| -		bytes = sizeof (mp_limb_t);
 | ||
| -	      }
 | ||
| -	    *p = limb;
 | ||
| -	    limb >>= CHAR_BIT;
 | ||
| -	    bytes--;
 | ||
| -	  }
 | ||
| -      }
 | ||
| -  assert (i == un);
 | ||
| -  assert (k == count);
 | ||
| +      /* And at least significant byte of that word. */
 | ||
| +      if (endian == 1)
 | ||
| +	p += (size - 1);
 | ||
| +
 | ||
| +      for (bytes = 0, i = 0, k = 0; k < count; k++, p += word_step)
 | ||
| +	{
 | ||
| +	  size_t j;
 | ||
| +	  for (j = 0; j < size; j++, p -= (ptrdiff_t) endian)
 | ||
| +	    {
 | ||
| +	      if (bytes == 0)
 | ||
| +		{
 | ||
| +		  if (i < un)
 | ||
| +		    limb = u->_mp_d[i++];
 | ||
| +		  bytes = sizeof (mp_limb_t);
 | ||
| +		}
 | ||
| +	      *p = limb;
 | ||
| +	      limb >>= CHAR_BIT;
 | ||
| +	      bytes--;
 | ||
| +	    }
 | ||
| +	}
 | ||
| +      assert (i == un);
 | ||
| +      assert (k == count);
 | ||
| +    }
 | ||
|  
 | ||
|    if (countp)
 | ||
|      *countp = count;
 | ||
| diff --git a/mini-gmp.h b/mini-gmp.h
 | ||
| index 8c94ca2..d8f691f 100644
 | ||
| --- a/mini-gmp.h
 | ||
| +++ b/mini-gmp.h
 | ||
| @@ -1,21 +1,32 @@
 | ||
|  /* mini-gmp, a minimalistic implementation of a GNU GMP subset.
 | ||
|  
 | ||
| -Copyright 2011, 2012, 2013 Free Software Foundation, Inc.
 | ||
| +Copyright 2011-2014 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.
 | ||
| +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 Lesser General Public
 | ||
| -License for more details.
 | ||
| +or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU 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/.  */
 | ||
| +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/.  */
 | ||
|  
 | ||
|  /* About mini-gmp: This is a minimal implementation of a subset of the
 | ||
|     GMP interface. It is intended for inclusion into applications which
 | ||
| @@ -64,8 +75,11 @@ typedef __mpz_struct mpz_t[1];
 | ||
|  typedef __mpz_struct *mpz_ptr;
 | ||
|  typedef const __mpz_struct *mpz_srcptr;
 | ||
|  
 | ||
| +extern const int mp_bits_per_limb;
 | ||
| +
 | ||
|  void mpn_copyi (mp_ptr, mp_srcptr, mp_size_t);
 | ||
|  void mpn_copyd (mp_ptr, mp_srcptr, mp_size_t);
 | ||
| +void mpn_zero (mp_ptr, mp_size_t);
 | ||
|  
 | ||
|  int mpn_cmp (mp_srcptr, mp_srcptr, mp_size_t);
 | ||
|  
 | ||
| @@ -84,10 +98,17 @@ mp_limb_t mpn_submul_1 (mp_ptr, mp_srcptr, mp_size_t, mp_limb_t);
 | ||
|  mp_limb_t mpn_mul (mp_ptr, mp_srcptr, mp_size_t, mp_srcptr, mp_size_t);
 | ||
|  void mpn_mul_n (mp_ptr, mp_srcptr, mp_srcptr, mp_size_t);
 | ||
|  void mpn_sqr (mp_ptr, mp_srcptr, mp_size_t);
 | ||
| +int mpn_perfect_square_p (mp_srcptr, mp_size_t);
 | ||
| +mp_size_t mpn_sqrtrem (mp_ptr, mp_ptr, mp_srcptr, mp_size_t);
 | ||
|  
 | ||
|  mp_limb_t mpn_lshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
 | ||
|  mp_limb_t mpn_rshift (mp_ptr, mp_srcptr, mp_size_t, unsigned int);
 | ||
|  
 | ||
| +mp_bitcnt_t mpn_scan0 (mp_srcptr, mp_bitcnt_t);
 | ||
| +mp_bitcnt_t mpn_scan1 (mp_srcptr, mp_bitcnt_t);
 | ||
| +
 | ||
| +mp_bitcnt_t mpn_popcount (mp_srcptr, mp_size_t);
 | ||
| +
 | ||
|  mp_limb_t mpn_invert_3by2 (mp_limb_t, mp_limb_t);
 | ||
|  #define mpn_invert_limb(x) mpn_invert_3by2 ((x), 0)
 | ||
|  
 | ||
| @@ -124,6 +145,10 @@ void mpz_mul_si (mpz_t, const mpz_t, long int);
 | ||
|  void mpz_mul_ui (mpz_t, const mpz_t, unsigned long int);
 | ||
|  void mpz_mul (mpz_t, const mpz_t, const mpz_t);
 | ||
|  void mpz_mul_2exp (mpz_t, const mpz_t, mp_bitcnt_t);
 | ||
| +void mpz_addmul_ui (mpz_t, const mpz_t, unsigned long int);
 | ||
| +void mpz_addmul (mpz_t, const mpz_t, const mpz_t);
 | ||
| +void mpz_submul_ui (mpz_t, const mpz_t, unsigned long int);
 | ||
| +void mpz_submul (mpz_t, const mpz_t, const mpz_t);
 | ||
|  
 | ||
|  void mpz_cdiv_qr (mpz_t, mpz_t, const mpz_t, const mpz_t);
 | ||
|  void mpz_fdiv_qr (mpz_t, mpz_t, const mpz_t, const mpz_t);
 | ||
| @@ -147,6 +172,7 @@ void mpz_mod (mpz_t, const mpz_t, const mpz_t);
 | ||
|  void mpz_divexact (mpz_t, const mpz_t, const mpz_t);
 | ||
|  
 | ||
|  int mpz_divisible_p (const mpz_t, const mpz_t);
 | ||
| +int mpz_congruent_p (const mpz_t, const mpz_t, const mpz_t);
 | ||
|  
 | ||
|  unsigned long mpz_cdiv_qr_ui (mpz_t, mpz_t, const mpz_t, unsigned long);
 | ||
|  unsigned long mpz_fdiv_qr_ui (mpz_t, mpz_t, const mpz_t, unsigned long);
 | ||
| @@ -176,6 +202,7 @@ int mpz_invert (mpz_t, const mpz_t, const mpz_t);
 | ||
|  
 | ||
|  void mpz_sqrtrem (mpz_t, mpz_t, const mpz_t);
 | ||
|  void mpz_sqrt (mpz_t, const mpz_t);
 | ||
| +int mpz_perfect_square_p (const mpz_t);
 | ||
|  
 | ||
|  void mpz_pow_ui (mpz_t, const mpz_t, unsigned long);
 | ||
|  void mpz_ui_pow_ui (mpz_t, unsigned long, unsigned long);
 | ||
| @@ -188,6 +215,9 @@ int mpz_root (mpz_t, const mpz_t, unsigned long);
 | ||
|  void mpz_fac_ui (mpz_t, unsigned long);
 | ||
|  void mpz_bin_uiui (mpz_t, unsigned long, unsigned long);
 | ||
|  
 | ||
| +int
 | ||
| +mpz_probab_prime_p (const mpz_t, int);
 | ||
| +
 | ||
|  int mpz_tstbit (const mpz_t, mp_bitcnt_t);
 | ||
|  void mpz_setbit (mpz_t, mp_bitcnt_t);
 | ||
|  void mpz_clrbit (mpz_t, mp_bitcnt_t);
 | ||
| @@ -211,6 +241,15 @@ double mpz_get_d (const mpz_t);
 | ||
|  size_t mpz_size (const mpz_t);
 | ||
|  mp_limb_t mpz_getlimbn (const mpz_t, mp_size_t);
 | ||
|  
 | ||
| +void mpz_realloc2 (mpz_t, mp_bitcnt_t);
 | ||
| +mp_srcptr mpz_limbs_read (mpz_srcptr);
 | ||
| +mp_ptr mpz_limbs_modify (mpz_t, mp_size_t);
 | ||
| +mp_ptr mpz_limbs_write (mpz_t, mp_size_t);
 | ||
| +void mpz_limbs_finish (mpz_t, mp_size_t);
 | ||
| +mpz_srcptr mpz_roinit_n (mpz_t, mp_srcptr, mp_size_t);
 | ||
| +
 | ||
| +#define MPZ_ROINIT_N(xp, xs) {{0, (xs),(xp) }}
 | ||
| +
 | ||
|  void mpz_set_si (mpz_t, signed long int);
 | ||
|  void mpz_set_ui (mpz_t, unsigned long int);
 | ||
|  void mpz_set (mpz_t, const mpz_t);
 | ||
| -- 
 | ||
| 1.9.2
 | ||
| 
 |