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Annotation of OpenXM_contrib/gmp/tests/mpz/t-powm.c, Revision 1.1.1.1

1.1       ohara       1: /* Test mpz_powm, mpz_mul. mpz_mod, mpz_mod_ui, mpz_div_ui.
                      2:
                      3: Copyright 1991, 1993, 1994, 1996, 1999, 2000, 2001 Free Software Foundation,
                      4: Inc.
                      5:
                      6: This file is part of the GNU MP Library.
                      7:
                      8: The GNU MP Library is free software; you can redistribute it and/or modify
                      9: it under the terms of the GNU Lesser General Public License as published by
                     10: the Free Software Foundation; either version 2.1 of the License, or (at your
                     11: option) any later version.
                     12:
                     13: The GNU MP Library is distributed in the hope that it will be useful, but
                     14: WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
                     15: or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
                     16: License for more details.
                     17:
                     18: You should have received a copy of the GNU Lesser General Public License
                     19: along with the GNU MP Library; see the file COPYING.LIB.  If not, write to
                     20: the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
                     21: MA 02111-1307, USA. */
                     22:
                     23: #include <stdio.h>
                     24: #include <stdlib.h>
                     25:
                     26: #include "gmp.h"
                     27: #include "gmp-impl.h"
                     28: #include "tests.h"
                     29:
                     30: void debug_mp _PROTO ((mpz_t, int));
                     31:
                     32: int
                     33: main (int argc, char **argv)
                     34: {
                     35:   mpz_t base, exp, mod;
                     36:   mpz_t r1, r2, t1, exp2, base2;
                     37:   mp_size_t base_size, exp_size, mod_size;
                     38:   int i;
                     39:   int reps = 200;
                     40:   gmp_randstate_ptr rands;
                     41:   mpz_t bs;
                     42:   unsigned long bsi, size_range;
                     43:
                     44:   tests_start ();
                     45:   rands = RANDS;
                     46:
                     47:   mpz_init (bs);
                     48:
                     49:   if (argc == 2)
                     50:      reps = atoi (argv[1]);
                     51:
                     52:   mpz_init (base);
                     53:   mpz_init (exp);
                     54:   mpz_init (mod);
                     55:   mpz_init (r1);
                     56:   mpz_init (r2);
                     57:   mpz_init (t1);
                     58:   mpz_init (exp2);
                     59:   mpz_init (base2);
                     60:
                     61:   for (i = 0; i < reps; i++)
                     62:     {
                     63:       mpz_urandomb (bs, rands, 32);
                     64:       size_range = mpz_get_ui (bs) % 13 + 2;
                     65:
                     66:       do  /* Loop until mathematically well-defined.  */
                     67:        {
                     68:          mpz_urandomb (bs, rands, size_range);
                     69:          base_size = mpz_get_ui (bs);
                     70:          mpz_rrandomb (base, rands, base_size);
                     71:
                     72:          mpz_urandomb (bs, rands, 7L);
                     73:          exp_size = mpz_get_ui (bs);
                     74:          mpz_rrandomb (exp, rands, exp_size);
                     75:        }
                     76:       while (mpz_cmp_ui (base, 0) == 0 && mpz_cmp_ui (exp, 0) == 0);
                     77:
                     78:       do
                     79:         {
                     80:          mpz_urandomb (bs, rands, size_range);
                     81:          mod_size = mpz_get_ui (bs);
                     82:          mpz_rrandomb (mod, rands, mod_size);
                     83:        }
                     84:       while (mpz_cmp_ui (mod, 0) == 0);
                     85:
                     86:       mpz_urandomb (bs, rands, 2);
                     87:       bsi = mpz_get_ui (bs);
                     88:       if ((bsi & 1) != 0)
                     89:        mpz_neg (base, base);
                     90:
                     91:       /* printf ("%ld %ld %ld\n", SIZ (base), SIZ (exp), SIZ (mod)); */
                     92:
                     93:       mpz_powm (r1, base, exp, mod);
                     94:
                     95:       mpz_set_ui (r2, 1);
                     96:       mpz_set (base2, base);
                     97:       mpz_set (exp2, exp);
                     98:
                     99:       mpz_mod (r2, r2, mod);   /* needed when exp==0 and mod==1 */
                    100:       while (mpz_cmp_ui (exp2, 0) != 0)
                    101:        {
                    102:          mpz_mod_ui (t1, exp2, 2);
                    103:          if (mpz_cmp_ui (t1, 0) != 0)
                    104:            {
                    105:              mpz_mul (r2, r2, base2);
                    106:              mpz_mod (r2, r2, mod);
                    107:            }
                    108:          mpz_mul (base2, base2, base2);
                    109:          mpz_mod (base2, base2, mod);
                    110:          mpz_div_ui (exp2, exp2, 2);
                    111:        }
                    112:
                    113:       if (mpz_cmp (r1, r2) != 0)
                    114:        {
                    115:          fprintf (stderr, "\nIncorrect results for operands:\n");
                    116:          debug_mp (base, -16);
                    117:          debug_mp (exp, -16);
                    118:          debug_mp (mod, -16);
                    119:          fprintf (stderr, "mpz_powm result:\n");
                    120:          debug_mp (r1, -16);
                    121:          fprintf (stderr, "reference result:\n");
                    122:          debug_mp (r2, -16);
                    123:          abort ();
                    124:        }
                    125:     }
                    126:
                    127:   mpz_clear (bs);
                    128:   mpz_clear (base);
                    129:   mpz_clear (exp);
                    130:   mpz_clear (mod);
                    131:   mpz_clear (r1);
                    132:   mpz_clear (r2);
                    133:   mpz_clear (t1);
                    134:   mpz_clear (exp2);
                    135:   mpz_clear (base2);
                    136:
                    137:   tests_end ();
                    138:   exit (0);
                    139: }
                    140:
                    141: void
                    142: debug_mp (mpz_t x, int base)
                    143: {
                    144:   mpz_out_str (stderr, base, x); fputc ('\n', stderr);
                    145: }