text: /* mpn_udiv_w_sdiv -- implement udiv_qrnnd on machines with only signed
     division.
  
     Contributed by Peter L. Montgomery.
  
     THIS IS AN INTERNAL FUNCTION WITH A MUTABLE INTERFACE.  IT IS ONLY SAFE
     TO REACH THIS FUNCTION THROUGH DOCUMENTED INTERFACES.  IN FACT, IT IS
     ALMOST GUARANTEED THAT THIS FUNCTION WILL CHANGE OR DISAPPEAR IN A FUTURE
     GNU MP RELEASE.
  
  
  Copyright (C) 1992, 1994, 1996, 2000 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., 59 Temple Place - Suite 330, Boston,
  MA 02111-1307, USA. */
  
  #include "gmp.h"
  #include "gmp-impl.h"
  #include "longlong.h"
  
  mp_limb_t
  mpn_udiv_w_sdiv (rp, a1, a0, d)
       mp_limb_t *rp, a1, a0, d;
  {
    mp_limb_t q, r;
    mp_limb_t c0, c1, b1;
  
    if ((mp_limb_signed_t) d >= 0)
      {
        if (a1 < d - a1 - (a0 >> (BITS_PER_MP_LIMB - 1)))
  	{
  	  /* dividend, divisor, and quotient are nonnegative */
  	  sdiv_qrnnd (q, r, a1, a0, d);
  	}
        else
  	{
  	  /* Compute c1*2^32 + c0 = a1*2^32 + a0 - 2^31*d */
  	  sub_ddmmss (c1, c0, a1, a0, d >> 1, d << (BITS_PER_MP_LIMB - 1));
  	  /* Divide (c1*2^32 + c0) by d */
  	  sdiv_qrnnd (q, r, c1, c0, d);
  	  /* Add 2^31 to quotient */
  	  q += (mp_limb_t) 1 << (BITS_PER_MP_LIMB - 1);
  	}
      }
    else
      {
        b1 = d >> 1;			/* d/2, between 2^30 and 2^31 - 1 */
        c1 = a1 >> 1;			/* A/2 */
        c0 = (a1 << (BITS_PER_MP_LIMB - 1)) + (a0 >> 1);
  
        if (a1 < b1)			/* A < 2^32*b1, so A/2 < 2^31*b1 */
  	{
  	  sdiv_qrnnd (q, r, c1, c0, b1); /* (A/2) / (d/2) */
  
  	  r = 2*r + (a0 & 1);		/* Remainder from A/(2*b1) */
  	  if ((d & 1) != 0)
  	    {
  	      if (r >= q)
  		r = r - q;
  	      else if (q - r <= d)
  		{
  		  r = r - q + d;
  		  q--;
  		}
  	      else
  		{
  		  r = r - q + 2*d;
  		  q -= 2;
  		}
  	    }
  	}
        else if (c1 < b1)			/* So 2^31 <= (A/2)/b1 < 2^32 */
  	{
  	  c1 = (b1 - 1) - c1;
  	  c0 = ~c0;			/* logical NOT */
  
  	  sdiv_qrnnd (q, r, c1, c0, b1); /* (A/2) / (d/2) */
  
  	  q = ~q;			/* (A/2)/b1 */
  	  r = (b1 - 1) - r;
  
  	  r = 2*r + (a0 & 1);		/* A/(2*b1) */
  
  	  if ((d & 1) != 0)
  	    {
  	      if (r >= q)
  		r = r - q;
  	      else if (q - r <= d)
  		{
  		  r = r - q + d;
  		  q--;
  		}
  	      else
  		{
  		  r = r - q + 2*d;
  		  q -= 2;
  		}
  	    }
  	}
        else				/* Implies c1 = b1 */
  	{				/* Hence a1 = d - 1 = 2*b1 - 1 */
  	  if (a0 >= -d)
  	    {
  	      q = -1;
  	      r = a0 + d;
  	    }
  	  else
  	    {
  	      q = -2;
  	      r = a0 + 2*d;
  	    }
  	}
      }
  
    *rp = r;
    return q;
  }
  