mpir/mpz/aorsmul.c

/* mpz_addmul, mpz_submul -- add or subtract multiple.

Copyright 2001, 2004, 2005 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 "mpir.h"
#include "gmp-impl.h"


/* expecting x and y both with non-zero high limbs */
#define mpn_cmp_twosizes_lt(xp,xsize, yp,ysize)                 \
  ((xsize) < (ysize)                                            \
   || ((xsize) == (ysize) && mpn_cmp (xp, yp, xsize) < 0))


/* sub>=0 means an addmul w += x*y, sub<0 means a submul w -= x*y.

   The signs of w, x and y are fully accounted for by each flipping "sub".

   The sign of w is retained for the result, unless the absolute value
   submul underflows, in which case it flips.  */

static void __gmpz_aorsmul _PROTO ((REGPARM_3_1 (mpz_ptr w, mpz_srcptr x, mpz_srcptr y, mp_size_t sub))) REGPARM_ATTR (1);
#define mpz_aorsmul(w,x,y,sub)  __gmpz_aorsmul (REGPARM_3_1 (w, x, y, sub))

REGPARM_ATTR (1) static void
mpz_aorsmul (mpz_ptr w, mpz_srcptr x, mpz_srcptr y, mp_size_t sub)
{
  mp_size_t  xsize, ysize, tsize, wsize, wsize_signed;
  mp_ptr     wp, tp;
  mp_limb_t  c, high;
  TMP_DECL;

  /* w unaffected if x==0 or y==0 */
  xsize = SIZ(x);
  ysize = SIZ(y);
  if (xsize == 0 || ysize == 0)
    return;

  /* make x the bigger of the two */
  if (ABS(ysize) > ABS(xsize))
    {
      MPZ_SRCPTR_SWAP (x, y);
      MP_SIZE_T_SWAP (xsize, ysize);
    }

  sub ^= ysize;
  ysize = ABS(ysize);

  /* use mpn_addmul_1/mpn_submul_1 if possible */
  if (ysize == 1)
    {
      mpz_aorsmul_1 (w, x, PTR(y)[0], sub);
      return;
    }

  sub ^= xsize;
  xsize = ABS(xsize);

  wsize_signed = SIZ(w);
  sub ^= wsize_signed;
  wsize = ABS(wsize_signed);

  tsize = xsize + ysize;
  MPZ_REALLOC (w, MAX (wsize, tsize) + 1);
  wp = PTR(w);

  if (wsize_signed == 0)
    {
      /* Nothing to add to, just set w=x*y.  No w==x or w==y overlap here,
         since we know x,y!=0 but w==0.  */
      high = mpn_mul (wp, PTR(x),xsize, PTR(y),ysize);
      tsize -= (high == 0);
      SIZ(w) = (sub >= 0 ? tsize : -tsize);
      return;
    }

  TMP_MARK;
  tp = TMP_ALLOC_LIMBS (tsize);

  high = mpn_mul (tp, PTR(x),xsize, PTR(y),ysize);
  tsize -= (high == 0);
  ASSERT (tp[tsize-1] != 0);
  if (sub >= 0)
    {
      mp_srcptr up    = wp;
      mp_size_t usize = wsize;

      if (usize < tsize)
        {
          up    = tp;
          usize = tsize;
          tp    = wp;
          tsize = wsize;

          wsize = usize;
        }

      c = mpn_add (wp, up,usize, tp,tsize);
      wp[wsize] = c;
      wsize += (c != 0);
    }
  else
    {
      mp_srcptr up    = wp;
      mp_size_t usize = wsize;

      if (mpn_cmp_twosizes_lt (up,usize, tp,tsize))
        {
          up    = tp;
          usize = tsize;
          tp    = wp;
          tsize = wsize;

          wsize = usize;
          wsize_signed = -wsize_signed;
        }

      ASSERT_NOCARRY (mpn_sub (wp, up,usize, tp,tsize));
      wsize = usize;
      MPN_NORMALIZE (wp, wsize);
    }

  SIZ(w) = (wsize_signed >= 0 ? wsize : -wsize);

  TMP_FREE;
}


void
mpz_addmul (mpz_ptr w, mpz_srcptr u, mpz_srcptr v)
{
  mpz_aorsmul (w, u, v, (mp_size_t) 0);
}

void
mpz_submul (mpz_ptr w, mpz_srcptr u, mpz_srcptr v)
{
  mpz_aorsmul (w, u, v, (mp_size_t) -1);
}