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authorPedro Alvarez <pedro.alvarez@codethink.co.uk>2016-05-27 17:39:31 +0100
committerPedro Alvarez <pedro.alvarez@codethink.co.uk>2016-05-27 17:53:32 +0100
commit26c75cf8267919f81a1759c9c965a52c660233f9 (patch)
treecf2a39cf56c2c8ac45760854413ab233e6263974 /gmp/mpn/generic/sb_divappr_q.c
parent56892c1d217baea02092b51a09bbc924130ca84c (diff)
downloadgcc-tarball-26c75cf8267919f81a1759c9c965a52c660233f9.tar.gz
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+/* mpn_sb_divappr_q -- schoolbook division with 2-limb sloppy non-greater
+ precomputed inverse, returning approximate quotient.
+
+ Contributed to the GNU project by Torbjörn Granlund.
+
+ THE FUNCTIONS IN THIS FILE ARE INTERNAL WITH A MUTABLE INTERFACE. IT IS
+ ONLY SAFE TO REACH THEM THROUGH DOCUMENTED INTERFACES. IN FACT, IT IS
+ ALMOST GUARANTEED THAT THEY WILL CHANGE OR DISAPPEAR IN A FUTURE GMP
+ RELEASE.
+
+Copyright 2006, 2007 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 "gmp.h"
+#include "gmp-impl.h"
+#include "longlong.h"
+
+/*
+ CAVEATS:
+ 1. Should it demand normalized operands like now, or normalize on-the-fly?
+ 2. Overwrites {np,nn}.
+ 3. Uses mpn_submul_1. It would be nice to somehow make it use mpn_addmul_1
+ instead. (That would open for mpn_addmul_2 straightforwardly.)
+*/
+
+mp_limb_t
+mpn_sb_divappr_q (mp_ptr qp,
+ mp_ptr np, mp_size_t nn,
+ mp_srcptr dp, mp_size_t dn,
+ mp_srcptr dip)
+{
+ mp_limb_t q, q10, q01a, q00a, q01b, q00b;
+ mp_limb_t cy;
+ mp_size_t i;
+ mp_limb_t qh;
+ mp_limb_t di1, di0;
+ mp_size_t qn;
+
+ ASSERT (dn > 0);
+ ASSERT (nn >= dn);
+ ASSERT ((dp[dn-1] & GMP_NUMB_HIGHBIT) != 0);
+ ASSERT (! MPN_OVERLAP_P (np, nn, dp, dn));
+ ASSERT (! MPN_OVERLAP_P (qp, nn-dn, dp, dn));
+ ASSERT (! MPN_OVERLAP_P (qp, nn-dn, np, nn) || qp+dn >= np);
+ ASSERT_MPN (np, nn);
+ ASSERT_MPN (dp, dn);
+
+ np += nn;
+ qn = nn - dn;
+ if (qn + 1 < dn)
+ {
+ dp += dn - (qn + 1);
+ dn = qn + 1;
+ }
+
+ qh = mpn_cmp (np - dn, dp, dn) >= 0;
+ if (qh != 0)
+ mpn_sub_n (np - dn, np - dn, dp, dn);
+
+ qp += qn;
+ di1 = dip[1]; di0 = dip[0];
+ for (i = qn; i >= dn; i--)
+ {
+ np--;
+ umul_ppmm (q, q10, np[0], di1);
+ umul_ppmm (q01a, q00a, np[-1], di1);
+ add_ssaaaa (q, q10, q, q10, np[0], q01a);
+ umul_ppmm (q01b, q00b, np[0], di0);
+ add_ssaaaa (q, q10, q, q10, 0, q01b);
+ add_ssaaaa (q, q10, q, q10, 0, np[-1]);
+
+ cy = mpn_submul_1 (np - dn, dp, dn, q);
+
+ if (UNLIKELY (np[0] > cy || mpn_cmp (np - dn, dp, dn) >= 0))
+ {
+ q = q + 1;
+ mpn_sub_n (np - dn, np - dn, dp, dn);
+ }
+
+ *--qp = q;
+ }
+
+ for (i = dn - 1; i > 0; i--)
+ {
+ np--;
+ umul_ppmm (q, q10, np[0], di1);
+ umul_ppmm (q01a, q00a, np[-1], di1);
+ add_ssaaaa (q, q10, q, q10, np[0], q01a);
+ umul_ppmm (q01b, q00b, np[0], di0);
+ add_ssaaaa (q, q10, q, q10, 0, q01b);
+ add_ssaaaa (q, q10, q, q10, 0, np[-1]);
+
+ cy = mpn_submul_1 (np - dn, dp, dn, q);
+
+ if (UNLIKELY (np[0] > cy || mpn_cmp (np - dn, dp, dn) >= 0))
+ {
+ q = q + 1;
+ if (q == 0)
+ q = GMP_NUMB_MAX;
+ else
+ mpn_sub_n (np - dn, np - dn, dp, dn);
+ }
+
+ *--qp = q;
+
+ /* Truncate operands. */
+ dn--;
+ dp++;
+
+ /* The partial remainder might be equal to the truncated divisor,
+ thus non-canonical. When that happens, the rest of the quotient
+ should be all ones. */
+ if (UNLIKELY (mpn_cmp (np - dn, dp, dn) == 0))
+ {
+ while (--i)
+ *--qp = GMP_NUMB_MAX;
+ break;
+ }
+ }
+
+ return qh;
+}