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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-comb.c
Initial commit.
Diffstat (limited to 'gmp-6.3.0/mini-gmp/tests/t-comb.c')
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diff --git a/gmp-6.3.0/mini-gmp/tests/t-comb.c b/gmp-6.3.0/mini-gmp/tests/t-comb.c
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+/* Exercise mpz_fac_ui and mpz_bin_uiui.
+
+Copyright 2000-2002, 2012, 2013, 2017-2018 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 "testutils.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). */
+
+void
+try_mpz_bin_uiui (mpz_srcptr want, unsigned long n, unsigned long k)
+{
+ mpz_t got;
+
+ mpz_init (got);
+ mpz_bin_uiui (got, n, k);
+ if (mpz_cmp (got, want) != 0)
+ {
+ printf ("mpz_bin_uiui wrong\n");
+ printf (" n=%lu\n", n);
+ printf (" k=%lu\n", k);
+ printf (" got="); mpz_out_str (stdout, 10, got); printf ("\n");
+ printf (" want="); mpz_out_str (stdout, 10, want); printf ("\n");
+ abort();
+ }
+ mpz_clear (got);
+}
+
+/* Test all bin(n,k) cases, with 0 <= k <= n + 1 <= count. */
+void
+bin_smallexaustive (unsigned int count)
+{
+ mpz_t want;
+ unsigned long n, k;
+
+ mpz_init (want);
+
+ for (n = 0; n < count; n++)
+ {
+ mpz_set_ui (want, 1);
+ for (k = 0; k <= n; k++)
+ {
+ try_mpz_bin_uiui (want, n, k);
+ mpz_mul_ui (want, want, n - k);
+ mpz_fdiv_q_ui (want, want, k + 1);
+ }
+ try_mpz_bin_uiui (want, n, k);
+ }
+
+ mpz_clear (want);
+}
+
+/* Test all fac(n) cases, with 0 <= n <= limit. */
+void
+fac_smallexaustive (unsigned int limit)
+{
+ mpz_t f, r;
+ unsigned long n;
+ mpz_init_set_si (f, 1); /* 0! = 1 */
+ mpz_init (r);
+
+ for (n = 0; n < limit; n++)
+ {
+ mpz_fac_ui (r, n);
+
+ 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_mul_ui (f, f, n+1); /* (n+1)! = n! * (n+1) */
+ }
+
+ mpz_clear (f);
+ mpz_clear (r);
+}
+
+void checkWilson (mpz_t f, unsigned long n)
+{
+ unsigned long m, a;
+
+ mpz_2fac_ui (f, 2 * n - 1);
+
+ a = mpz_fdiv_q_ui (f, f, n);
+ m = mpz_fdiv_ui (f, n);
+ if ((m != n - 1) || (a != 0))
+ {
+ printf ("mpz_2fac_ui(%lu) wrong\n", 2 * n - 1);
+ printf (" Wilson's theorem not verified: got (%lu, %lu), expected (0, %lu).\n", a, m, n - 1);
+ abort ();
+ }
+
+ mpz_fac_ui (f, n - 1);
+ m = mpz_fdiv_ui (f, n);
+ if ( m != n - 1)
+ {
+ printf ("mpz_fac_ui(%lu) wrong\n", n - 1);
+ printf (" Wilson's theorem not verified: got %lu, expected %lu.\n",m ,n - 1);
+ abort ();
+ }
+}
+
+void
+checkprimes (unsigned long p1, unsigned long p2, unsigned long p3)
+{
+ mpz_t b, f;
+
+ if (p1 - 1 != p2 - 1 + p3 - 1)
+ {
+ printf ("checkprimes(%lu, %lu, %lu) wrong\n", p1, p2, p3);
+ printf (" %lu - 1 != %lu - 1 + %lu - 1 \n", p1, p2, p3);
+ abort ();
+ }
+
+ mpz_init (b);
+ mpz_init (f);
+
+ checkWilson (b, p1); /* b = (p1-1)! */
+ checkWilson (f, p2); /* f = (p2-1)! */
+ mpz_divexact (b, b, f);
+ checkWilson (f, p3); /* f = (p3-1)! */
+ mpz_divexact (b, b, f); /* b = (p1-1)!/((p2-1)!(p3-1)!) */
+ mpz_bin_uiui (f, p1 - 1, p2 - 1);
+ if (mpz_cmp (f, b) != 0)
+ {
+ printf ("checkprimes(%lu, %lu, %lu) wrong\n", p1, p2, p3);
+ printf (" got "); mpz_out_str (stdout, 10, b); printf("\n");
+ printf (" want "); mpz_out_str (stdout, 10, f); printf("\n");
+ abort ();
+ }
+
+ mpz_clear (b);
+ mpz_clear (f);
+
+}
+
+void
+testmain (int argc, char *argv[])
+{
+ unsigned long limit = 128;
+
+ if (argc > 1 && argv[1][0] == 'x')
+ limit = ~ limit;
+ else if (argc > 1)
+ limit = atoi (argv[1]);
+
+ checkprimes(1009, 733, 277);
+ fac_smallexaustive (limit);
+ bin_smallexaustive (limit);
+}