186d7f5d3SJohn Marino /* mpn_divrem -- Divide natural numbers, producing both remainder and
286d7f5d3SJohn Marino quotient. This is now just a middle layer for calling the new
386d7f5d3SJohn Marino internal mpn_tdiv_qr.
486d7f5d3SJohn Marino
586d7f5d3SJohn Marino Copyright 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2001, 2002, 2005 Free
686d7f5d3SJohn Marino Software Foundation, Inc.
786d7f5d3SJohn Marino
886d7f5d3SJohn Marino This file is part of the GNU MP Library.
986d7f5d3SJohn Marino
1086d7f5d3SJohn Marino The GNU MP Library is free software; you can redistribute it and/or modify
1186d7f5d3SJohn Marino it under the terms of the GNU Lesser General Public License as published by
1286d7f5d3SJohn Marino the Free Software Foundation; either version 3 of the License, or (at your
1386d7f5d3SJohn Marino option) any later version.
1486d7f5d3SJohn Marino
1586d7f5d3SJohn Marino The GNU MP Library is distributed in the hope that it will be useful, but
1686d7f5d3SJohn Marino WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
1786d7f5d3SJohn Marino or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
1886d7f5d3SJohn Marino License for more details.
1986d7f5d3SJohn Marino
2086d7f5d3SJohn Marino You should have received a copy of the GNU Lesser General Public License
2186d7f5d3SJohn Marino along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
2286d7f5d3SJohn Marino
2386d7f5d3SJohn Marino #include "gmp.h"
2486d7f5d3SJohn Marino #include "gmp-impl.h"
2586d7f5d3SJohn Marino #include "longlong.h"
2686d7f5d3SJohn Marino
2786d7f5d3SJohn Marino mp_limb_t
mpn_divrem(mp_ptr qp,mp_size_t qxn,mp_ptr np,mp_size_t nn,mp_srcptr dp,mp_size_t dn)2886d7f5d3SJohn Marino mpn_divrem (mp_ptr qp, mp_size_t qxn,
2986d7f5d3SJohn Marino mp_ptr np, mp_size_t nn,
3086d7f5d3SJohn Marino mp_srcptr dp, mp_size_t dn)
3186d7f5d3SJohn Marino {
3286d7f5d3SJohn Marino ASSERT (qxn >= 0);
3386d7f5d3SJohn Marino ASSERT (nn >= dn);
3486d7f5d3SJohn Marino ASSERT (dn >= 1);
3586d7f5d3SJohn Marino ASSERT (dp[dn-1] & GMP_NUMB_HIGHBIT);
3686d7f5d3SJohn Marino ASSERT (! MPN_OVERLAP_P (np, nn, dp, dn));
3786d7f5d3SJohn Marino ASSERT (! MPN_OVERLAP_P (qp, nn-dn+qxn, np, nn) || qp==np+dn+qxn);
3886d7f5d3SJohn Marino ASSERT (! MPN_OVERLAP_P (qp, nn-dn+qxn, dp, dn));
3986d7f5d3SJohn Marino ASSERT_MPN (np, nn);
4086d7f5d3SJohn Marino ASSERT_MPN (dp, dn);
4186d7f5d3SJohn Marino
4286d7f5d3SJohn Marino if (dn == 1)
4386d7f5d3SJohn Marino {
4486d7f5d3SJohn Marino mp_limb_t ret;
4586d7f5d3SJohn Marino mp_ptr q2p;
4686d7f5d3SJohn Marino mp_size_t qn;
4786d7f5d3SJohn Marino TMP_DECL;
4886d7f5d3SJohn Marino
4986d7f5d3SJohn Marino TMP_MARK;
5086d7f5d3SJohn Marino q2p = TMP_ALLOC_LIMBS (nn + qxn);
5186d7f5d3SJohn Marino
5286d7f5d3SJohn Marino np[0] = mpn_divrem_1 (q2p, qxn, np, nn, dp[0]);
5386d7f5d3SJohn Marino qn = nn + qxn - 1;
5486d7f5d3SJohn Marino MPN_COPY (qp, q2p, qn);
5586d7f5d3SJohn Marino ret = q2p[qn];
5686d7f5d3SJohn Marino
5786d7f5d3SJohn Marino TMP_FREE;
5886d7f5d3SJohn Marino return ret;
5986d7f5d3SJohn Marino }
6086d7f5d3SJohn Marino else if (dn == 2)
6186d7f5d3SJohn Marino {
6286d7f5d3SJohn Marino return mpn_divrem_2 (qp, qxn, np, nn, dp);
6386d7f5d3SJohn Marino }
6486d7f5d3SJohn Marino else
6586d7f5d3SJohn Marino {
6686d7f5d3SJohn Marino mp_ptr rp, q2p;
6786d7f5d3SJohn Marino mp_limb_t qhl;
6886d7f5d3SJohn Marino mp_size_t qn;
6986d7f5d3SJohn Marino TMP_DECL;
7086d7f5d3SJohn Marino
7186d7f5d3SJohn Marino TMP_MARK;
7286d7f5d3SJohn Marino if (UNLIKELY (qxn != 0))
7386d7f5d3SJohn Marino {
7486d7f5d3SJohn Marino mp_ptr n2p;
7586d7f5d3SJohn Marino n2p = TMP_ALLOC_LIMBS (nn + qxn);
7686d7f5d3SJohn Marino MPN_ZERO (n2p, qxn);
7786d7f5d3SJohn Marino MPN_COPY (n2p + qxn, np, nn);
7886d7f5d3SJohn Marino q2p = TMP_ALLOC_LIMBS (nn - dn + qxn + 1);
7986d7f5d3SJohn Marino rp = TMP_ALLOC_LIMBS (dn);
8086d7f5d3SJohn Marino mpn_tdiv_qr (q2p, rp, 0L, n2p, nn + qxn, dp, dn);
8186d7f5d3SJohn Marino MPN_COPY (np, rp, dn);
8286d7f5d3SJohn Marino qn = nn - dn + qxn;
8386d7f5d3SJohn Marino MPN_COPY (qp, q2p, qn);
8486d7f5d3SJohn Marino qhl = q2p[qn];
8586d7f5d3SJohn Marino }
8686d7f5d3SJohn Marino else
8786d7f5d3SJohn Marino {
8886d7f5d3SJohn Marino q2p = TMP_ALLOC_LIMBS (nn - dn + 1);
8986d7f5d3SJohn Marino rp = TMP_ALLOC_LIMBS (dn);
9086d7f5d3SJohn Marino mpn_tdiv_qr (q2p, rp, 0L, np, nn, dp, dn);
9186d7f5d3SJohn Marino MPN_COPY (np, rp, dn); /* overwrite np area with remainder */
9286d7f5d3SJohn Marino qn = nn - dn;
9386d7f5d3SJohn Marino MPN_COPY (qp, q2p, qn);
9486d7f5d3SJohn Marino qhl = q2p[qn];
9586d7f5d3SJohn Marino }
9686d7f5d3SJohn Marino TMP_FREE;
9786d7f5d3SJohn Marino return qhl;
9886d7f5d3SJohn Marino }
9986d7f5d3SJohn Marino }
100