Blame mpf/add.c

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/* mpf_add -- Add two floats.
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Copyright 1993, 1994, 1996, 2000, 2001, 2005 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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void
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mpf_add (mpf_ptr r, mpf_srcptr u, mpf_srcptr v)
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{
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  mp_srcptr up, vp;
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  mp_ptr rp, tp;
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  mp_size_t usize, vsize, rsize;
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  mp_size_t prec;
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  mp_exp_t uexp;
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  mp_size_t ediff;
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  mp_limb_t cy;
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  int negate;
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  TMP_DECL;
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  usize = u->_mp_size;
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  vsize = v->_mp_size;
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  /* Handle special cases that don't work in generic code below.  */
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  if (usize == 0)
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    {
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    set_r_v_maybe:
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      if (r != v)
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        mpf_set (r, v);
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      return;
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    }
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  if (vsize == 0)
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    {
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      v = u;
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      goto set_r_v_maybe;
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    }
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  /* If signs of U and V are different, perform subtraction.  */
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  if ((usize ^ vsize) < 0)
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    {
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      __mpf_struct v_negated;
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      v_negated._mp_size = -vsize;
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      v_negated._mp_exp = v->_mp_exp;
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      v_negated._mp_d = v->_mp_d;
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      mpf_sub (r, u, &v_negated);
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      return;
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    }
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  TMP_MARK;
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  /* Signs are now known to be the same.  */
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  negate = usize < 0;
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  /* Make U be the operand with the largest exponent.  */
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  if (u->_mp_exp < v->_mp_exp)
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    {
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      mpf_srcptr t;
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      t = u; u = v; v = t;
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      usize = u->_mp_size;
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      vsize = v->_mp_size;
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    }
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  usize = ABS (usize);
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  vsize = ABS (vsize);
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  up = u->_mp_d;
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  vp = v->_mp_d;
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  rp = r->_mp_d;
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  prec = r->_mp_prec;
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  uexp = u->_mp_exp;
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  ediff = u->_mp_exp - v->_mp_exp;
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  /* If U extends beyond PREC, ignore the part that does.  */
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  if (usize > prec)
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    {
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      up += usize - prec;
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      usize = prec;
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    }
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  /* If V extends beyond PREC, ignore the part that does.
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     Note that this may make vsize negative.  */
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  if (vsize + ediff > prec)
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    {
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      vp += vsize + ediff - prec;
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      vsize = prec - ediff;
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    }
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#if 0
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  /* Locate the least significant non-zero limb in (the needed parts
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     of) U and V, to simplify the code below.  */
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  while (up[0] == 0)
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    up++, usize--;
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  while (vp[0] == 0)
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    vp++, vsize--;
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#endif
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  /* Allocate temp space for the result.  Allocate
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     just vsize + ediff later???  */
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  tp = TMP_ALLOC_LIMBS (prec);
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  if (ediff >= prec)
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    {
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      /* V completely cancelled.  */
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      if (rp != up)
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	MPN_COPY_INCR (rp, up, usize);
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      rsize = usize;
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    }
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  else
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    {
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      /* uuuu     |  uuuu     |  uuuu     |  uuuu     |  uuuu    */
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      /* vvvvvvv  |  vv       |    vvvvv  |    v      |       vv */
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      if (usize > ediff)
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	{
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	  /* U and V partially overlaps.  */
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	  if (vsize + ediff <= usize)
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	    {
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	      /* uuuu     */
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	      /*   v      */
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	      mp_size_t size;
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	      size = usize - ediff - vsize;
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	      MPN_COPY (tp, up, size);
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	      cy = mpn_add (tp + size, up + size, usize - size, vp, vsize);
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	      rsize = usize;
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	    }
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	  else
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	    {
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	      /* uuuu     */
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	      /*   vvvvv  */
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	      mp_size_t size;
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	      size = vsize + ediff - usize;
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	      MPN_COPY (tp, vp, size);
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	      cy = mpn_add (tp + size, up, usize, vp + size, usize - ediff);
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	      rsize = vsize + ediff;
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	    }
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	}
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      else
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	{
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	  /* uuuu     */
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	  /*      vv  */
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	  mp_size_t size;
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	  size = vsize + ediff - usize;
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	  MPN_COPY (tp, vp, vsize);
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	  MPN_ZERO (tp + vsize, ediff - usize);
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	  MPN_COPY (tp + size, up, usize);
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	  cy = 0;
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	  rsize = size + usize;
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	}
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      MPN_COPY (rp, tp, rsize);
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      rp[rsize] = cy;
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      rsize += cy;
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      uexp += cy;
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    }
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  r->_mp_size = negate ? -rsize : rsize;
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  r->_mp_exp = uexp;
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  TMP_FREE;
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}