diff options
Diffstat (limited to 'vendor/gmp-6.3.0/tests/mpz/t-fac_ui.c')
-rw-r--r-- | vendor/gmp-6.3.0/tests/mpz/t-fac_ui.c | 108 |
1 files changed, 108 insertions, 0 deletions
diff --git a/vendor/gmp-6.3.0/tests/mpz/t-fac_ui.c b/vendor/gmp-6.3.0/tests/mpz/t-fac_ui.c new file mode 100644 index 0000000..15b6070 --- /dev/null +++ b/vendor/gmp-6.3.0/tests/mpz/t-fac_ui.c @@ -0,0 +1,108 @@ +/* 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); +} |