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+/* mpn_sbpi1_bdiv_r -- schoolbook Hensel division with precomputed inverse,
+ returning remainder.
+
+ Contributed to the GNU project by Niels Möller and Torbjörn Granlund.
+
+ THE FUNCTIONS IN THIS FILE ARE INTERNAL FUNCTIONS WITH MUTABLE INTERFACES.
+ IT IS ONLY SAFE TO REACH THEM THROUGH DOCUMENTED INTERFACES. IN FACT, IT IS
+ ALMOST GUARANTEED THAT THEY'LL CHANGE OR DISAPPEAR IN A FUTURE GMP RELEASE.
+
+Copyright 2006, 2009, 2011, 2012, 2017 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 either:
+
+ * 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.
+
+or
+
+ * the GNU General Public License as published by the Free Software
+ Foundation; either version 2 of the License, or (at your option) any
+ later version.
+
+or both in parallel, as here.
+
+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 General Public License
+for more details.
+
+You should have received copies of the GNU General Public License and the
+GNU Lesser General Public License along with the GNU MP Library. If not,
+see https://www.gnu.org/licenses/. */
+
+#include "gmp-impl.h"
+
+
+/* Computes a binary quotient of size qn = un - dn.
+ Output:
+
+ Q = -U * D^{-1} mod B^qn,
+
+ R = (U + Q * D) * B^(-qn)
+
+ Stores the dn least significant limbs of R at {up + un - dn, dn},
+ and returns the carry from the addition N + Q*D.
+
+ D must be odd. dinv is (-D)^-1 mod B. */
+
+mp_limb_t
+mpn_sbpi1_bdiv_r (mp_ptr up, mp_size_t un,
+ mp_srcptr dp, mp_size_t dn, mp_limb_t dinv)
+{
+ mp_size_t i;
+ mp_limb_t cy;
+
+ ASSERT (dn > 0);
+ ASSERT (un > dn);
+ ASSERT ((dp[0] & 1) != 0);
+ ASSERT (-(dp[0] * dinv) == 1);
+
+ for (i = un - dn, cy = 0; i != 0; i--)
+ {
+ mp_limb_t q = dinv * up[0];
+ mp_limb_t hi = mpn_addmul_1 (up, dp, dn, q);
+
+ hi += cy;
+ cy = hi < cy;
+ hi += up[dn];
+ cy += hi < up[dn];
+ up[dn] = hi;
+ up++;
+ }
+
+ return cy;
+}