/* Test mpz_powm_ui, mpz_mul, mpz_mod. Copyright 1991, 1993, 1994, 1996, 1997, 2000-2002, 2013 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 #include #include "gmp.h" #include "gmp-impl.h" #include "tests.h" int main (int argc, char **argv) { mpz_t base, exp, mod; mpz_t r1, r2, base2; mp_size_t base_size, exp_size, mod_size; unsigned long int exp2; int i; int reps = 100; gmp_randstate_ptr rands; mpz_t bs; unsigned long bsi, size_range; tests_start (); rands = RANDS; TESTS_REPS (reps, argv, argc); mpz_inits (bs, base, exp, mod, r1, r2, base2, NULL); for (i = 0; i < reps; i++) { mpz_urandomb (bs, rands, 32); size_range = mpz_get_ui (bs) % 18 + 2; do /* Loop until mathematically well-defined. */ { mpz_urandomb (bs, rands, size_range); base_size = mpz_get_ui (bs); mpz_rrandomb (base, rands, base_size); mpz_urandomb (bs, rands, 6L); exp_size = mpz_get_ui (bs); mpz_rrandomb (exp, rands, exp_size); exp2 = mpz_getlimbn (exp, (mp_size_t) 0); } while (mpz_cmp_ui (base, 0) == 0 && exp2 == 0); do { mpz_urandomb (bs, rands, size_range); mod_size = mpz_get_ui (bs); mpz_rrandomb (mod, rands, mod_size); } while (mpz_cmp_ui (mod, 0) == 0); mpz_urandomb (bs, rands, 2); bsi = mpz_get_ui (bs); if ((bsi & 1) != 0) mpz_neg (base, base); /* printf ("%ld %ld\n", SIZ (base), SIZ (mod)); */ #if 0 putc ('\n', stderr); gmp_fprintf (stderr, "B = 0x%Zx\n", base); gmp_fprintf (stderr, "M = 0x%Zx\n", mod); #endif exp2 = mpz_getlimbn (exp, (mp_size_t) 0); mpz_set_ui (r2, 1); mpz_set (base2, base); mpz_mod (r2, r2, mod); /* needed when exp==0 and mod==1 */ while (exp2 != 0) { if (exp2 % 2 != 0) { mpz_mul (r2, r2, base2); mpz_mod (r2, r2, mod); } mpz_mul (base2, base2, base2); mpz_mod (base2, base2, mod); exp2 = exp2 / 2; } exp2 = mpz_getlimbn (exp, (mp_size_t) 0); mpz_powm_ui (r1, base, exp2, mod); MPZ_CHECK_FORMAT (r1); #if 0 gmp_fprintf (stderr, "R = 0x%Zx\n", r1); gmp_fprintf (stderr, "REF = 0x%Zx\n", r2); #endif if (mpz_cmp (r1, r2) != 0) { fprintf (stderr, "\ntest %d: Incorrect results for operands:\n", i); gmp_fprintf (stderr, "B = 0x%Zx\n", base); gmp_fprintf (stderr, "E = 0x%Zx\n", exp); gmp_fprintf (stderr, "M = 0x%Zx\n", mod); gmp_fprintf (stderr, "R = 0x%Zx\n", r1); gmp_fprintf (stderr, "REF = 0x%Zx\n", r2); abort (); } } mpz_clears (bs, base, exp, mod, r1, r2, base2, NULL); tests_end (); exit (0); }