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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/tests/mpz/t-fac_ui.c
Initial commit.
Diffstat (limited to 'gmp-6.3.0/tests/mpz/t-fac_ui.c')
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diff --git a/gmp-6.3.0/tests/mpz/t-fac_ui.c b/gmp-6.3.0/tests/mpz/t-fac_ui.c
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+/* Exercise mpz_fac_ui and mpz_2fac_ui.
+
+Copyright 2000-2002, 2012, 2015 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 <stdio.h>
+#include <stdlib.h>
+#include "gmp-impl.h"
+#include "tests.h"
+
+
+/* Usage: t-fac_ui [x|num]
+
+ With no arguments testing goes up to the initial value of "limit" below.
+ With a number argument tests are carried that far, or with a literal "x"
+ tests are continued without limit (this being meant only for development
+ purposes). */
+
+
+int
+main (int argc, char *argv[])
+{
+ unsigned long n, m;
+ unsigned long limit = 2222;
+ mpz_t df[2], f, r;
+
+ tests_start ();
+
+ if (argc > 1 && argv[1][0] == 'x')
+ limit = ULONG_MAX;
+ else
+ TESTS_REPS (limit, argv, argc);
+
+ /* for small limb testing */
+ limit = MIN (limit, MP_LIMB_T_MAX);
+
+ mpz_init_set_ui (df[0], 1); /* 0!! = 1 */
+ mpz_init_set_ui (df[1], 1); /* -1!! = 1 */
+ mpz_init_set_ui (f, 1); /* 0! = 1 */
+ mpz_init (r);
+
+ for (n = 0, m = 0; n < limit; n++)
+ {
+ mpz_fac_ui (r, n);
+ MPZ_CHECK_FORMAT (r);
+
+ if (mpz_cmp (f, r) != 0)
+ {
+ printf ("mpz_fac_ui(%lu) wrong\n", n);
+ printf (" got "); mpz_out_str (stdout, 10, r); printf("\n");
+ printf (" want "); mpz_out_str (stdout, 10, f); printf("\n");
+ abort ();
+ }
+
+ mpz_2fac_ui (r, n);
+ MPZ_CHECK_FORMAT (r);
+
+ if (mpz_cmp (df[m], r) != 0)
+ {
+ printf ("mpz_2fac_ui(%lu) wrong\n", n);
+ printf (" got "); mpz_out_str (stdout, 10, r); printf("\n");
+ printf (" want "); mpz_out_str (stdout, 10, df[m]); printf("\n");
+ abort ();
+ }
+
+ m ^= 1;
+ mpz_mul_ui (df[m], df[m], n+1); /* (n+1)!! = (n-1)!! * (n+1) */
+ mpz_mul_ui (f, f, n+1); /* (n+1)! = n! * (n+1) */
+ }
+
+ n = 2097169; /* a prime = 1 mod 4*/
+ if (n / 2 > MP_LIMB_T_MAX)
+ n = 131041; /* a smaller prime :-) */
+ mpz_fac_ui (f, n / 2); /* ((n-1)/2)! */
+ m = mpz_fdiv_ui (f, n); /* ((n-1)/2)! mod n*/
+ mpz_set_ui (f, m);
+ mpz_mul_ui (f, f, m); /* (((n-1)/2)!)^2 */
+ m = mpz_fdiv_ui (f, n); /* (((n-1)/2)!)^2 mod n*/
+ if ( m != n - 1)
+ {
+ printf ("mpz_fac_ui(%lu) wrong\n", n / 2);
+ printf (" al-Haytham's theorem not verified: got %lu, expected %lu.\n", m, n - 1);
+ abort ();
+ }
+
+ mpz_clear (df[0]);
+ mpz_clear (df[1]);
+ mpz_clear (f);
+ mpz_clear (r);
+
+ tests_end ();
+
+ exit (0);
+}