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authorDuncan Wilkie <antigravityd@gmail.com>2023-11-18 06:11:09 -0600
committerDuncan Wilkie <antigravityd@gmail.com>2023-11-18 06:11:09 -0600
commit11da511c784eca003deb90c23570f0873954e0de (patch)
treee14fdd3d5d6345956d67e79ae771d0633d28362b /gmp-6.3.0/mpn/generic/div_qr_1.c
Initial commit.
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+/* mpn_div_qr_1 -- mpn by limb division.
+
+ Contributed to the GNU project by Niels Möller and Torbjörn Granlund
+
+Copyright 1991, 1993, 1994, 1996, 1998-2000, 2002, 2003, 2013 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"
+#include "longlong.h"
+
+#ifndef DIV_QR_1_NORM_THRESHOLD
+#define DIV_QR_1_NORM_THRESHOLD 3
+#endif
+#ifndef DIV_QR_1_UNNORM_THRESHOLD
+#define DIV_QR_1_UNNORM_THRESHOLD 3
+#endif
+
+#if GMP_NAIL_BITS > 0
+#error Nail bits not supported
+#endif
+
+/* Divides {up, n} by d. Writes the n-1 low quotient limbs at {qp,
+ * n-1}, and the high quotient limb at *qh. Returns remainder. */
+mp_limb_t
+mpn_div_qr_1 (mp_ptr qp, mp_limb_t *qh, mp_srcptr up, mp_size_t n,
+ mp_limb_t d)
+{
+ unsigned cnt;
+ mp_limb_t uh;
+
+ ASSERT (n > 0);
+ ASSERT (d > 0);
+
+ if (d & GMP_NUMB_HIGHBIT)
+ {
+ /* Normalized case */
+ mp_limb_t dinv, q;
+
+ uh = up[--n];
+
+ q = (uh >= d);
+ *qh = q;
+ uh -= (-q) & d;
+
+ if (BELOW_THRESHOLD (n, DIV_QR_1_NORM_THRESHOLD))
+ {
+ cnt = 0;
+ plain:
+ while (n > 0)
+ {
+ mp_limb_t ul = up[--n];
+ udiv_qrnnd (qp[n], uh, uh, ul, d);
+ }
+ return uh >> cnt;
+ }
+ invert_limb (dinv, d);
+ return mpn_div_qr_1n_pi1 (qp, up, n, uh, d, dinv);
+ }
+ else
+ {
+ /* Unnormalized case */
+ mp_limb_t dinv, ul;
+
+ if (! UDIV_NEEDS_NORMALIZATION
+ && BELOW_THRESHOLD (n, DIV_QR_1_UNNORM_THRESHOLD))
+ {
+ uh = up[--n];
+ udiv_qrnnd (*qh, uh, CNST_LIMB(0), uh, d);
+ cnt = 0;
+ goto plain;
+ }
+
+ count_leading_zeros (cnt, d);
+ d <<= cnt;
+
+#if HAVE_NATIVE_mpn_div_qr_1u_pi1
+ /* FIXME: Call loop doing on-the-fly normalization */
+#endif
+
+ /* Shift up front, use qp area for shifted copy. A bit messy,
+ since we have only n-1 limbs available, and shift the high
+ limb manually. */
+ uh = up[--n];
+ ul = (uh << cnt) | mpn_lshift (qp, up, n, cnt);
+ uh >>= (GMP_LIMB_BITS - cnt);
+
+ if (UDIV_NEEDS_NORMALIZATION
+ && BELOW_THRESHOLD (n, DIV_QR_1_UNNORM_THRESHOLD))
+ {
+ udiv_qrnnd (*qh, uh, uh, ul, d);
+ up = qp;
+ goto plain;
+ }
+ invert_limb (dinv, d);
+
+ udiv_qrnnd_preinv (*qh, uh, uh, ul, d, dinv);
+ return mpn_div_qr_1n_pi1 (qp, qp, n, uh, d, dinv) >> cnt;
+ }
+}