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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/sqrtrem.c
Initial commit.
Diffstat (limited to 'gmp-6.3.0/mpz/sqrtrem.c')
-rw-r--r--gmp-6.3.0/mpz/sqrtrem.c85
1 files changed, 85 insertions, 0 deletions
diff --git a/gmp-6.3.0/mpz/sqrtrem.c b/gmp-6.3.0/mpz/sqrtrem.c
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+++ b/gmp-6.3.0/mpz/sqrtrem.c
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+/* mpz_sqrtrem(root,rem,x) -- Set ROOT to floor(sqrt(X)) and REM
+ to the remainder, i.e. X - ROOT**2.
+
+Copyright 1991, 1993, 1994, 1996, 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 "gmp-impl.h"
+
+void
+mpz_sqrtrem (mpz_ptr root, mpz_ptr rem, mpz_srcptr op)
+{
+ mp_size_t op_size, root_size, rem_size;
+ mp_ptr root_ptr, op_ptr, rem_ptr;
+
+ op_size = SIZ (op);
+ if (UNLIKELY (op_size <= 0))
+ {
+ if (UNLIKELY (op_size < 0))
+ SQRT_OF_NEGATIVE;
+ SIZ(root) = 0;
+ SIZ(rem) = 0;
+ return;
+ }
+
+ /* No-op if rem == op */
+ rem_ptr = MPZ_NEWALLOC (rem, op_size);
+
+ /* The size of the root is accurate after this simple calculation. */
+ root_size = (op_size + 1) / 2;
+ SIZ (root) = root_size;
+
+ op_ptr = PTR (op);
+
+ if (root == op)
+ {
+ /* Allocate temp space for the root, which we then copy to the
+ shared OP/ROOT variable. */
+ TMP_DECL;
+ TMP_MARK;
+
+ root_ptr = TMP_ALLOC_LIMBS (root_size);
+ rem_size = mpn_sqrtrem (root_ptr, rem_ptr, op_ptr, op_size);
+
+ if (rem != root) /* Don't overwrite remainder */
+ MPN_COPY (op_ptr, root_ptr, root_size);
+
+ TMP_FREE;
+ }
+ else
+ {
+ root_ptr = MPZ_NEWALLOC (root, root_size);
+
+ rem_size = mpn_sqrtrem (root_ptr, rem_ptr, op_ptr, op_size);
+ }
+
+ /* Write remainder size last, to make this function give only the square root
+ remainder, when passed ROOT == REM. */
+ SIZ (rem) = rem_size;
+}