2008-06-25 03:33:36 -04:00
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/* Test mpz_powm_ui, mpz_mul. mpz_mod.
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Copyright 1991, 1993, 1994, 1996, 1997, 2000, 2001, 2002 Free Software
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Foundation, Inc.
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This file is part of the GNU MP Library.
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The GNU MP Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation; either version 2.1 of the License, or (at your
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option) any later version.
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The GNU MP Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with the GNU MP Library; see the file COPYING.LIB. If not, write to
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the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
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MA 02110-1301, USA. */
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#include <stdio.h>
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#include <stdlib.h>
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2009-02-12 05:24:24 -05:00
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#include "mpir.h"
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2008-06-25 03:33:36 -04:00
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#include "gmp-impl.h"
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#include "tests.h"
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void dump_abort _PROTO ((mpz_t, mpz_t));
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void debug_mp _PROTO ((mpz_t, int));
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int
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main (int argc, char **argv)
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{
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mpz_t base, exp, mod;
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mpz_t r1, r2, base2;
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mp_size_t base_size, exp_size, mod_size;
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unsigned long int exp2;
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int i;
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int reps = 200;
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2009-09-14 10:17:11 -04:00
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gmp_randstate_t rands;
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2008-06-25 03:33:36 -04:00
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mpz_t bs;
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unsigned long bsi, size_range;
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tests_start ();
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2009-09-14 10:17:11 -04:00
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gmp_randinit_default(rands);
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2008-06-25 03:33:36 -04:00
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mpz_init (bs);
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if (argc == 2)
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reps = atoi (argv[1]);
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mpz_init (base);
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mpz_init (exp);
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mpz_init (mod);
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mpz_init (r1);
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mpz_init (r2);
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mpz_init (base2);
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for (i = 0; i < reps; i++)
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{
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mpz_urandomb (bs, rands, 32);
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size_range = mpz_get_ui (bs) % 13 + 2;
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do /* Loop until mathematically well-defined. */
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{
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mpz_urandomb (bs, rands, size_range);
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base_size = mpz_get_ui (bs);
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mpz_rrandomb (base, rands, base_size);
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mpz_urandomb (bs, rands, 6L);
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exp_size = mpz_get_ui (bs);
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mpz_rrandomb (exp, rands, exp_size);
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exp2 = mpz_getlimbn (exp, (mp_size_t) 0);
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}
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while (mpz_cmp_ui (base, 0) == 0 && exp2 == 0);
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do
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{
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mpz_urandomb (bs, rands, size_range);
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mod_size = mpz_get_ui (bs);
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mpz_rrandomb (mod, rands, mod_size);
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}
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while (mpz_cmp_ui (mod, 0) == 0);
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mpz_urandomb (bs, rands, 2);
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bsi = mpz_get_ui (bs);
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if ((bsi & 1) != 0)
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mpz_neg (base, base);
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/* printf ("%ld %ld\n", SIZ (base), SIZ (mod)); */
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#if 0
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putc ('\n', stderr);
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debug_mp (base, -16);
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debug_mp (mod, -16);
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#endif
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mpz_powm_ui (r1, base, exp2, mod);
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mpz_set_ui (r2, 1);
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mpz_set (base2, base);
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mpz_mod (r2, r2, mod); /* needed when exp==0 and mod==1 */
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while (exp2 != 0)
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{
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if (exp2 % 2 != 0)
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{
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mpz_mul (r2, r2, base2);
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mpz_mod (r2, r2, mod);
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}
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mpz_mul (base2, base2, base2);
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mpz_mod (base2, base2, mod);
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exp2 = exp2 / 2;
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}
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#if 0
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debug_mp (r1, -16);
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debug_mp (r2, -16);
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#endif
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if (mpz_cmp (r1, r2) != 0)
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{
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fprintf (stderr, "\ntest %d: Incorrect results for operands:\n", i);
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debug_mp (base, -16);
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debug_mp (exp, -16);
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debug_mp (mod, -16);
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fprintf (stderr, "mpz_powm_ui result:\n");
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debug_mp (r1, -16);
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fprintf (stderr, "reference result:\n");
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debug_mp (r2, -16);
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abort ();
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}
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}
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mpz_clear (bs);
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mpz_clear (base);
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mpz_clear (exp);
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mpz_clear (mod);
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mpz_clear (r1);
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mpz_clear (r2);
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mpz_clear (base2);
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2009-09-14 10:17:11 -04:00
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gmp_randclear(rands);
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2008-06-25 03:33:36 -04:00
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tests_end ();
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exit (0);
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}
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void
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dump_abort (mpz_t dividend, mpz_t divisor)
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{
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fprintf (stderr, "ERROR\n");
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fprintf (stderr, "dividend = "); debug_mp (dividend, -16);
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fprintf (stderr, "divisor = "); debug_mp (divisor, -16);
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abort();
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}
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void
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debug_mp (mpz_t x, int base)
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{
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mpz_out_str (stderr, base, x); fputc ('\n', stderr);
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}
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