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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/mpz/gcdext.c
Initial commit.
Diffstat (limited to 'gmp-6.3.0/mpz/gcdext.c')
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1 files changed, 135 insertions, 0 deletions
diff --git a/gmp-6.3.0/mpz/gcdext.c b/gmp-6.3.0/mpz/gcdext.c
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+/* mpz_gcdext(g, s, t, a, b) -- Set G to gcd(a, b), and S and T such that
+ g = as + bt.
+
+Copyright 1991, 1993-1997, 2000, 2001, 2005, 2011, 2012, 2015 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 <stdio.h> /* for NULL */
+#include "gmp-impl.h"
+
+void
+mpz_gcdext (mpz_ptr g, mpz_ptr s, mpz_ptr t, mpz_srcptr a, mpz_srcptr b)
+{
+ mp_size_t asize, bsize;
+ mp_ptr tmp_ap, tmp_bp;
+ mp_size_t gsize, ssize, tmp_ssize;
+ mp_ptr gp, tmp_gp, tmp_sp;
+ TMP_DECL;
+
+ /* mpn_gcdext requires that Usize >= Vsize. Therefore, we often
+ have to swap U and V. The computed cofactor will be the
+ "smallest" one, which is faster to produce. The wanted one will
+ be computed here; this is needed anyway when both are requested. */
+
+ asize = ABSIZ (a);
+ bsize = ABSIZ (b);
+
+ ASSERT (s != NULL);
+
+ if (asize < bsize)
+ {
+ MPZ_SRCPTR_SWAP (a, b);
+ MP_SIZE_T_SWAP (asize, bsize);
+ MPZ_PTR_SWAP (s, t);
+ }
+
+ if (bsize == 0)
+ {
+ /* g = |a|, s = sgn(a), t = 0. */
+ ssize = SIZ (a) >= 0 ? (asize != 0) : -1;
+
+ if (g != NULL)
+ {
+ /* If g == a, then ALLOC(g) == ALLOC(a) >= asize, i.e.
+ the next MPZ_NEWALLOC returns the old PTR(a) .*/
+ gp = MPZ_NEWALLOC (g, asize);
+ MPN_COPY (gp, PTR (a), asize);
+ SIZ (g) = asize;
+ }
+ if (t != NULL)
+ SIZ (t) = 0;
+ if (s != NULL)
+ {
+ SIZ (s) = ssize;
+ MPZ_NEWALLOC (s, 1)[0] = 1;
+ }
+ return;
+ }
+
+ TMP_MARK;
+
+ TMP_ALLOC_LIMBS_2 (tmp_gp, bsize, tmp_sp, asize + bsize + bsize + 1);
+ tmp_bp = tmp_sp + bsize + 1;
+ tmp_ap = tmp_bp + bsize;
+ MPN_COPY (tmp_ap, PTR (a), asize);
+ MPN_COPY (tmp_bp, PTR (b), bsize);
+
+ gsize = mpn_gcdext (tmp_gp, tmp_sp, &tmp_ssize, tmp_ap, asize, tmp_bp, bsize);
+
+ ssize = ABS (tmp_ssize);
+ tmp_ssize = SIZ (a) >= 0 ? tmp_ssize : -tmp_ssize;
+
+ if (t != NULL)
+ {
+ mpz_t x;
+ mpz_t gtmp, stmp;
+
+ PTR (gtmp) = tmp_gp;
+ SIZ (gtmp) = gsize;
+
+ PTR (stmp) = tmp_sp;
+ SIZ (stmp) = tmp_ssize;
+
+ ASSERT (ssize <= bsize); /* ssize*2 + asize + 1 <= asize + bsize*2 + 1 */
+ PTR (x) = tmp_sp + ssize;
+ ALLOC (x) = ssize + asize + 1;
+
+ mpz_mul (x, stmp, a);
+ mpz_sub (x, gtmp, x);
+ mpz_divexact (t, x, b);
+ }
+
+ if (s != NULL)
+ {
+ mp_ptr sp;
+
+ sp = MPZ_NEWALLOC (s, ssize);
+ MPN_COPY (sp, tmp_sp, ssize);
+ SIZ (s) = tmp_ssize;
+ }
+
+ if (g != NULL)
+ {
+ gp = MPZ_NEWALLOC (g, gsize);
+ MPN_COPY (gp, tmp_gp, gsize);
+ SIZ (g) = gsize;
+ }
+
+ TMP_FREE;
+}