tests/mpz/t-powm_ui.c

/* Test mpz_powm_ui, mpz_mul, mpz_mod.

Copyright 1991, 1993, 1994, 1996, 1997, 2000-2002, 2013 Free Software
Foundation, Inc.

This file is part of the GNU MP Library test suite.

The GNU MP Library test suite is free software; you can redistribute it
and/or modify it under the terms of the GNU 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 test suite 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 General
Public License for more details.

You should have received a copy of the GNU General Public License along with
the GNU MP Library test suite.  If not, see https://www.gnu.org/licenses/.  */

#include <stdio.h>
#include <stdlib.h>

#include "gmp-impl.h"
#include "tests.h"

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 = 100;
  gmp_randstate_ptr rands;
  mpz_t bs;
  unsigned long bsi, size_range;

  tests_start ();
  rands = RANDS;

  TESTS_REPS (reps, argv, argc);

  mpz_inits (bs, base, exp, mod, r1, r2, base2, NULL);

  for (i = 0; i < reps; i++)
    {
      mpz_urandomb (bs, rands, 32);
      size_range = mpz_get_ui (bs) % 18 + 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);
      gmp_fprintf (stderr, "B = 0x%Zx\n", base);
      gmp_fprintf (stderr, "M = 0x%Zx\n", mod);
#endif

      exp2 = mpz_getlimbn (exp, (mp_size_t) 0);
      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;
	}

      exp2 = mpz_getlimbn (exp, (mp_size_t) 0);
      mpz_powm_ui (r1, base, exp2, mod);
      MPZ_CHECK_FORMAT (r1);

#if 0
      gmp_fprintf (stderr, "R   = 0x%Zx\n", r1);
      gmp_fprintf (stderr, "REF = 0x%Zx\n", r2);
#endif

      if (mpz_cmp (r1, r2) != 0)
	{
	  fprintf (stderr, "\ntest %d: Incorrect results for operands:\n", i);
	  gmp_fprintf (stderr, "B = 0x%Zx\n", base);
	  gmp_fprintf (stderr, "E = 0x%Zx\n", exp);
	  gmp_fprintf (stderr, "M = 0x%Zx\n", mod);
	  gmp_fprintf (stderr, "R   = 0x%Zx\n", r1);
	  gmp_fprintf (stderr, "REF = 0x%Zx\n", r2);
	  abort ();
	}
    }

  mpz_clears (bs, base, exp, mod, r1, r2, base2, NULL);

  tests_end ();
  exit (0);
}