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authorJakub Jelinek <jakub@redhat.com>2007-07-12 18:26:36 +0000
committerJakub Jelinek <jakub@redhat.com>2007-07-12 18:26:36 +0000
commit0ecb606cb6cf65de1d9fc8a919bceb4be476c602 (patch)
tree2ea1f8305970753e4a657acb2ccc15ca3eec8e2c /sysdeps/generic/divrem.c
parent7d58530341304d403a6626d7f7a1913165fe2f32 (diff)
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2.5-18.1
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diff --git a/sysdeps/generic/divrem.c b/sysdeps/generic/divrem.c
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-/* mpn_divrem -- Divide natural numbers, producing both remainder and
-   quotient.
-
-Copyright (C) 1993, 1994, 1995, 1996 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"
-
-/* Divide num (NP/NSIZE) by den (DP/DSIZE) and write
-   the NSIZE-DSIZE least significant quotient limbs at QP
-   and the DSIZE long remainder at NP.  If QEXTRA_LIMBS is
-   non-zero, generate that many fraction bits and append them after the
-   other quotient limbs.
-   Return the most significant limb of the quotient, this is always 0 or 1.
-
-   Preconditions:
-   0. NSIZE >= DSIZE.
-   1. The most significant bit of the divisor must be set.
-   2. QP must either not overlap with the input operands at all, or
-      QP + DSIZE >= NP must hold true.  (This means that it's
-      possible to put the quotient in the high part of NUM, right after the
-      remainder in NUM.
-   3. NSIZE >= DSIZE, even if QEXTRA_LIMBS is non-zero.  */
-
-mp_limb_t
-#if __STDC__
-mpn_divrem (mp_ptr qp, mp_size_t qextra_limbs,
-	    mp_ptr np, mp_size_t nsize,
-	    mp_srcptr dp, mp_size_t dsize)
-#else
-mpn_divrem (qp, qextra_limbs, np, nsize, dp, dsize)
-     mp_ptr qp;
-     mp_size_t qextra_limbs;
-     mp_ptr np;
-     mp_size_t nsize;
-     mp_srcptr dp;
-     mp_size_t dsize;
-#endif
-{
-  mp_limb_t most_significant_q_limb = 0;
-
-  switch (dsize)
-    {
-    case 0:
-      /* We are asked to divide by zero, so go ahead and do it!  (To make
-	 the compiler not remove this statement, return the value.)  */
-      return 1 / dsize;
-
-    case 1:
-      {
-	mp_size_t i;
-	mp_limb_t n1;
-	mp_limb_t d;
-
-	d = dp[0];
-	n1 = np[nsize - 1];
-
-	if (n1 >= d)
-	  {
-	    n1 -= d;
-	    most_significant_q_limb = 1;
-	  }
-
-	qp += qextra_limbs;
-	for (i = nsize - 2; i >= 0; i--)
-	  udiv_qrnnd (qp[i], n1, n1, np[i], d);
-	qp -= qextra_limbs;
-
-	for (i = qextra_limbs - 1; i >= 0; i--)
-	  udiv_qrnnd (qp[i], n1, n1, 0, d);
-
-	np[0] = n1;
-      }
-      break;
-
-    case 2:
-      {
-	mp_size_t i;
-	mp_limb_t n1, n0, n2;
-	mp_limb_t d1, d0;
-
-	np += nsize - 2;
-	d1 = dp[1];
-	d0 = dp[0];
-	n1 = np[1];
-	n0 = np[0];
-
-	if (n1 >= d1 && (n1 > d1 || n0 >= d0))
-	  {
-	    sub_ddmmss (n1, n0, n1, n0, d1, d0);
-	    most_significant_q_limb = 1;
-	  }
-
-	for (i = qextra_limbs + nsize - 2 - 1; i >= 0; i--)
-	  {
-	    mp_limb_t q;
-	    mp_limb_t r;
-
-	    if (i >= qextra_limbs)
-	      np--;
-	    else
-	      np[0] = 0;
-
-	    if (n1 == d1)
-	      {
-		/* Q should be either 111..111 or 111..110.  Need special
-		   treatment of this rare case as normal division would
-		   give overflow.  */
-		q = ~(mp_limb_t) 0;
-
-		r = n0 + d1;
-		if (r < d1)	/* Carry in the addition? */
-		  {
-		    add_ssaaaa (n1, n0, r - d0, np[0], 0, d0);
-		    qp[i] = q;
-		    continue;
-		  }
-		n1 = d0 - (d0 != 0);
-		n0 = -d0;
-	      }
-	    else
-	      {
-		udiv_qrnnd (q, r, n1, n0, d1);
-		umul_ppmm (n1, n0, d0, q);
-	      }
-
-	    n2 = np[0];
-	  q_test:
-	    if (n1 > r || (n1 == r && n0 > n2))
-	      {
-		/* The estimated Q was too large.  */
-		q--;
-
-		sub_ddmmss (n1, n0, n1, n0, 0, d0);
-		r += d1;
-		if (r >= d1)	/* If not carry, test Q again.  */
-		  goto q_test;
-	      }
-
-	    qp[i] = q;
-	    sub_ddmmss (n1, n0, r, n2, n1, n0);
-	  }
-	np[1] = n1;
-	np[0] = n0;
-      }
-      break;
-
-    default:
-      {
-	mp_size_t i;
-	mp_limb_t dX, d1, n0;
-
-	np += nsize - dsize;
-	dX = dp[dsize - 1];
-	d1 = dp[dsize - 2];
-	n0 = np[dsize - 1];
-
-	if (n0 >= dX)
-	  {
-	    if (n0 > dX || mpn_cmp (np, dp, dsize - 1) >= 0)
-	      {
-		mpn_sub_n (np, np, dp, dsize);
-		n0 = np[dsize - 1];
-		most_significant_q_limb = 1;
-	      }
-	  }
-
-	for (i = qextra_limbs + nsize - dsize - 1; i >= 0; i--)
-	  {
-	    mp_limb_t q;
-	    mp_limb_t n1, n2;
-	    mp_limb_t cy_limb;
-
-	    if (i >= qextra_limbs)
-	      {
-		np--;
-		n2 = np[dsize];
-	      }
-	    else
-	      {
-		n2 = np[dsize - 1];
-		MPN_COPY_DECR (np + 1, np, dsize);
-		np[0] = 0;
-	      }
-
-	    if (n0 == dX)
-	      /* This might over-estimate q, but it's probably not worth
-		 the extra code here to find out.  */
-	      q = ~(mp_limb_t) 0;
-	    else
-	      {
-		mp_limb_t r;
-
-		udiv_qrnnd (q, r, n0, np[dsize - 1], dX);
-		umul_ppmm (n1, n0, d1, q);
-
-		while (n1 > r || (n1 == r && n0 > np[dsize - 2]))
-		  {
-		    q--;
-		    r += dX;
-		    if (r < dX)	/* I.e. "carry in previous addition?"  */
-		      break;
-		    n1 -= n0 < d1;
-		    n0 -= d1;
-		  }
-	      }
-
-	    /* Possible optimization: We already have (q * n0) and (1 * n1)
-	       after the calculation of q.  Taking advantage of that, we
-	       could make this loop make two iterations less.  */
-
-	    cy_limb = mpn_submul_1 (np, dp, dsize, q);
-
-	    if (n2 != cy_limb)
-	      {
-		mpn_add_n (np, np, dp, dsize);
-		q--;
-	      }
-
-	    qp[i] = q;
-	    n0 = np[dsize - 1];
-	  }
-      }
-    }
-
-  return most_significant_q_limb;
-}