mpir/mpn/generic/dc_div_q.c

77 lines
2.1 KiB
C

/* mpn_dc_div_q -- divide-and-conquer division, returning exact quotient
only.
Contributed to the GNU project by Torbjorn Granlund and Marco Bodrato.
THE FUNCTION IN THIS FILE IS INTERNAL WITH A MUTABLE INTERFACE. IT IS ONLY
SAFE TO REACH IT THROUGH DOCUMENTED INTERFACES. IN FACT, IT IS ALMOST
GUARANTEED THAT IT WILL CHANGE OR DISAPPEAR IN A FUTURE GMP RELEASE.
Copyright 2006, 2007, 2009, 2010 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 3 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. If not, see http://www.gnu.org/licenses/. */
#include "mpir.h"
#include "gmp-impl.h"
mp_limb_t
mpn_dc_div_q (mp_ptr qp, mp_ptr np, mp_size_t nn,
mp_srcptr dp, mp_size_t dn, mp_limb_t dinv, mp_limb_t d1inv)
{
mp_ptr tp, wp;
mp_limb_t qh;
mp_size_t qn;
TMP_DECL;
TMP_MARK;
ASSERT (dn >= 6);
ASSERT (nn - dn >= 3);
ASSERT (dp[dn-1] & GMP_NUMB_HIGHBIT);
tp = TMP_ALLOC_LIMBS (nn + 1);
MPN_COPY (tp + 1, np, nn);
tp[0] = 0;
qn = nn - dn;
wp = TMP_ALLOC_LIMBS (qn + 1);
qh = mpn_dc_divappr_q (wp, tp, nn + 1, dp, dn, dinv, d1inv);
if (wp[0] == 0)
{
mp_limb_t cy;
if (qn > dn)
mpn_mul (tp, wp + 1, qn, dp, dn);
else
mpn_mul (tp, dp, dn, wp + 1, qn);
cy = (qh != 0) ? mpn_add_n (tp + qn, tp + qn, dp, dn) : 0;
if (cy || mpn_cmp (tp, np, nn) > 0) /* At most is wrong by one, no cycle. */
qh -= mpn_sub_1 (qp, wp + 1, qn, 1);
else /* Same as below */
MPN_COPY (qp, wp + 1, qn);
}
else
MPN_COPY (qp, wp + 1, qn);
TMP_FREE;
return qh;
}