/* Test mpz_powm_ui, mpz_mul, mpz_mod. Copyright 1991, 1993, 1994, 1996, 1997, 2000, 2001, 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 http://www.gnu.org/licenses/. */ #include #include #include "gmp.h" #include "gmp-impl.h" #include "tests.h" void debug_mp (mpz_t, int); 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; mpz_init (bs); if (argc == 2) reps = atoi (argv[1]); mpz_init (base); mpz_init (exp); mpz_init (mod); mpz_init (r1); mpz_init (r2); mpz_init (base2); 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); debug_mp (base, -16); debug_mp (mod, -16); #endif mpz_powm_ui (r1, base, exp2, mod); MPZ_CHECK_FORMAT (r1); 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; } #if 0 debug_mp (r1, -16); debug_mp (r2, -16); #endif if (mpz_cmp (r1, r2) != 0) { fprintf (stderr, "\ntest %d: Incorrect results for operands:\n", i); debug_mp (base, -16); debug_mp (exp, -16); debug_mp (mod, -16); fprintf (stderr, "mpz_powm_ui result:\n"); debug_mp (r1, -16); fprintf (stderr, "reference result:\n"); debug_mp (r2, -16); abort (); } } mpz_clear (bs); mpz_clear (base); mpz_clear (exp); mpz_clear (mod); mpz_clear (r1); mpz_clear (r2); mpz_clear (base2); tests_end (); exit (0); } void debug_mp (mpz_t x, int base) { mpz_out_str (stderr, base, x); fputc ('\n', stderr); }