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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/gcd_1.c
Initial commit.
Diffstat (limited to 'gmp-6.3.0/mpn/generic/gcd_1.c')
-rw-r--r--gmp-6.3.0/mpn/generic/gcd_1.c103
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diff --git a/gmp-6.3.0/mpn/generic/gcd_1.c b/gmp-6.3.0/mpn/generic/gcd_1.c
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+/* mpn_gcd_1 -- mpn and limb greatest common divisor.
+
+Copyright 1994, 1996, 2000, 2001, 2009, 2012, 2019 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"
+
+/* Does not work for U == 0 or V == 0. It would be tough to make it work for
+ V == 0 since gcd(x,0) = x, and U does not generally fit in an mp_limb_t.
+
+ The threshold for doing u%v when size==1 will vary by CPU according to
+ the speed of a division and the code generated for the main loop. Any
+ tuning for this is left to a CPU specific implementation. */
+
+mp_limb_t
+mpn_gcd_1 (mp_srcptr up, mp_size_t size, mp_limb_t vlimb)
+{
+ mp_limb_t ulimb;
+ unsigned long zero_bits, u_low_zero_bits;
+ int c;
+
+ ASSERT (size >= 1);
+ ASSERT (vlimb != 0);
+ ASSERT_MPN_NONZERO_P (up, size);
+
+ ulimb = up[0];
+
+ /* Need vlimb odd for modexact, want it odd to get common zeros. */
+ count_trailing_zeros (zero_bits, vlimb);
+ vlimb >>= zero_bits;
+
+ if (size > 1)
+ {
+ /* Must get common zeros before the mod reduction. If ulimb==0 then
+ vlimb already gives the common zeros. */
+ if (ulimb != 0)
+ {
+ count_trailing_zeros (u_low_zero_bits, ulimb);
+ zero_bits = MIN (zero_bits, u_low_zero_bits);
+ }
+
+ ulimb = MPN_MOD_OR_MODEXACT_1_ODD (up, size, vlimb);
+ if (ulimb == 0)
+ goto done;
+
+ count_trailing_zeros (c, ulimb);
+ ulimb >>= c;
+ }
+ else
+ {
+ /* size==1, so up[0]!=0 */
+ count_trailing_zeros (u_low_zero_bits, ulimb);
+ ulimb >>= u_low_zero_bits;
+ zero_bits = MIN (zero_bits, u_low_zero_bits);
+
+ /* make u bigger */
+ if (vlimb > ulimb)
+ MP_LIMB_T_SWAP (ulimb, vlimb);
+
+ /* if u is much bigger than v, reduce using a division rather than
+ chipping away at it bit-by-bit */
+ if ((ulimb >> 16) > vlimb)
+ {
+ ulimb %= vlimb;
+ if (ulimb == 0)
+ goto done;
+
+ count_trailing_zeros (c, ulimb);
+ ulimb >>= c;
+ }
+ }
+
+ vlimb = mpn_gcd_11 (ulimb, vlimb);
+
+ done:
+ return vlimb << zero_bits;
+}