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