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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/mini-gmp/tests/t-sqrt.c
Initial commit.
Diffstat (limited to 'gmp-6.3.0/mini-gmp/tests/t-sqrt.c')
-rw-r--r--gmp-6.3.0/mini-gmp/tests/t-sqrt.c181
1 files changed, 181 insertions, 0 deletions
diff --git a/gmp-6.3.0/mini-gmp/tests/t-sqrt.c b/gmp-6.3.0/mini-gmp/tests/t-sqrt.c
new file mode 100644
index 0000000..dd4c83a
--- /dev/null
+++ b/gmp-6.3.0/mini-gmp/tests/t-sqrt.c
@@ -0,0 +1,181 @@
+/*
+
+Copyright 2012, 2014, Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library test suite.
+
+The GNU MP Library test suite is free software; you can redistribute it
+and/or modify it under the terms of the GNU General Public License as
+published by the Free Software Foundation; either version 3 of the License,
+or (at your option) any later version.
+
+The GNU MP Library test suite 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 a copy of the GNU General Public License along with
+the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */
+
+#include <limits.h>
+#include <stdlib.h>
+#include <stdio.h>
+
+#include "testutils.h"
+
+#define MAXBITS 400
+#define COUNT 9000
+
+/* Called when s is supposed to be floor(sqrt(u)), and r = u - s^2 */
+static int
+sqrtrem_valid_p (const mpz_t u, const mpz_t s, const mpz_t r)
+{
+ mpz_t t;
+
+ mpz_init (t);
+ mpz_mul (t, s, s);
+ mpz_sub (t, u, t);
+ if (mpz_sgn (t) < 0 || mpz_cmp (t, r) != 0)
+ {
+ mpz_clear (t);
+ return 0;
+ }
+ mpz_add_ui (t, s, 1);
+ mpz_mul (t, t, t);
+ if (mpz_cmp (t, u) <= 0)
+ {
+ mpz_clear (t);
+ return 0;
+ }
+
+ mpz_clear (t);
+ return 1;
+}
+
+void
+mpz_mpn_sqrtrem (mpz_t s, mpz_t r, const mpz_t u)
+{
+ mp_limb_t *sp, *rp;
+ mp_size_t un, sn, ret;
+
+ un = mpz_size (u);
+
+ mpz_xor (s, s, u);
+ sn = (un + 1) / 2;
+ sp = mpz_limbs_write (s, sn + 1);
+ sp [sn] = 11;
+
+ if (un & 1)
+ rp = NULL; /* Exploits the fact that r already is correct. */
+ else {
+ mpz_add (r, u, s);
+ rp = mpz_limbs_write (r, un + 1);
+ rp [un] = 19;
+ }
+
+ ret = mpn_sqrtrem (sp, rp, mpz_limbs_read (u), un);
+
+ if (sp [sn] != 11)
+ {
+ fprintf (stderr, "mpn_sqrtrem buffer overrun on sp.\n");
+ abort ();
+ }
+ if (un & 1) {
+ if ((ret != 0) != (mpz_size (r) != 0)) {
+ fprintf (stderr, "mpn_sqrtrem wrong return value with NULL.\n");
+ abort ();
+ }
+ } else {
+ mpz_limbs_finish (r, ret);
+ if ((size_t) ret != mpz_size (r)) {
+ fprintf (stderr, "mpn_sqrtrem wrong return value.\n");
+ abort ();
+ }
+ if (rp [un] != 19)
+ {
+ fprintf (stderr, "mpn_sqrtrem buffer overrun on rp.\n");
+ abort ();
+ }
+ }
+
+ mpz_limbs_finish (s, (un + 1) / 2);
+}
+
+void
+testmain (int argc, char **argv)
+{
+ unsigned i;
+ mpz_t u, s, r;
+
+ mpz_init (s);
+ mpz_init (r);
+
+ mpz_init_set_si (u, -1);
+ if (mpz_perfect_square_p (u))
+ {
+ fprintf (stderr, "mpz_perfect_square_p failed on -1.\n");
+ abort ();
+ }
+
+ if (!mpz_perfect_square_p (s))
+ {
+ fprintf (stderr, "mpz_perfect_square_p failed on 0.\n");
+ abort ();
+ }
+
+ for (i = 0; i < COUNT; i++)
+ {
+ mini_rrandomb (u, MAXBITS - (i & 0xFF));
+ mpz_sqrtrem (s, r, u);
+
+ if (!sqrtrem_valid_p (u, s, r))
+ {
+ fprintf (stderr, "mpz_sqrtrem failed:\n");
+ dump ("u", u);
+ dump ("sqrt", s);
+ dump ("rem", r);
+ abort ();
+ }
+
+ mpz_mpn_sqrtrem (s, r, u);
+
+ if (!sqrtrem_valid_p (u, s, r))
+ {
+ fprintf (stderr, "mpn_sqrtrem failed:\n");
+ dump ("u", u);
+ dump ("sqrt", s);
+ dump ("rem", r);
+ abort ();
+ }
+
+ if (mpz_sgn (r) == 0) {
+ mpz_neg (u, u);
+ mpz_sub_ui (u, u, 1);
+ }
+
+ if ((mpz_sgn (u) <= 0 || (i & 1)) ?
+ mpz_perfect_square_p (u) :
+ mpn_perfect_square_p (mpz_limbs_read (u), mpz_size (u)))
+ {
+ fprintf (stderr, "mp%s_perfect_square_p failed on non square:\n",
+ (mpz_sgn (u) <= 0 || (i & 1)) ? "z" : "n");
+ dump ("u", u);
+ abort ();
+ }
+
+ mpz_mul (u, s, s);
+ if (!((mpz_sgn (u) <= 0 || (i & 1)) ?
+ mpz_perfect_square_p (u) :
+ mpn_perfect_square_p (mpz_limbs_read (u), mpz_size (u))))
+ {
+ fprintf (stderr, "mp%s_perfect_square_p failed on square:\n",
+ (mpz_sgn (u) <= 0 || (i & 1)) ? "z" : "n");
+ dump ("u", u);
+ abort ();
+ }
+
+ }
+ mpz_clear (u);
+ mpz_clear (s);
+ mpz_clear (r);
+}