/* Test mpz_powm_ui, mpz_mul. mpz_mod. Copyright 1991, 1993, 1994, 1996, 1997, 2000, 2001, 2002 Free Software Foundation, Inc. This file is part of the GNU MP Library. The GNU MP Library is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser 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 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 Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */ #include #include #include "gmp.h" #include "gmp-impl.h" #include "tests.h" void dump_abort _PROTO ((mpz_t, mpz_t)); void debug_mp _PROTO ((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 = 200; 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) % 13 + 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_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 dump_abort (mpz_t dividend, mpz_t divisor) { fprintf (stderr, "ERROR\n"); fprintf (stderr, "dividend = "); debug_mp (dividend, -16); fprintf (stderr, "divisor = "); debug_mp (divisor, -16); abort(); } void debug_mp (mpz_t x, int base) { mpz_out_str (stderr, base, x); fputc ('\n', stderr); }