/* 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 2.1 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; see the file COPYING.LIB. If not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ #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 = 400; 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, 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 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); }