mpir/tests/mpz/t-cong_2exp.c

/* test mpz_congruent_2exp_p */

/*
Copyright 2001 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., 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA.
*/

#include <stdio.h>
#include <stdlib.h>
#include "mpir.h"
#include "gmp-impl.h"
#include "tests.h"


void
check_one (mpz_srcptr a, mpz_srcptr c, unsigned long d, int want)
{
  mpz_t  diff, d2exp;
  int    got;
  int    swap;

  for (swap = 0; swap <= 1; swap++)
    {
      got = (mpz_congruent_2exp_p (a, c, d) != 0);
      if (want != got)
        {
          mpz_init (diff);
          mpz_init (d2exp);

          mpz_sub (diff, a, c);
          mpz_set_ui (d2exp, 1L);
          mpz_mul_2exp (d2exp, d2exp, d);

          printf ("mpz_congruent_2exp_p wrong\n");
          printf ("   expected %d got %d\n", want, got);
          mpz_trace ("   a", a);
          mpz_trace ("   c", c);
          mpz_trace (" a-c", diff);
          mpz_trace (" 2^d", d2exp);
          printf    ("   d=%lu\n", d);

          mp_trace_base = -16;
          mpz_trace ("   a", a);
          mpz_trace ("   c", c);
          mpz_trace (" a-c", diff);
          mpz_trace (" 2^d", d2exp);
          printf    ("   d=0x%lX\n", d);
          abort ();
        }

      MPZ_SRCPTR_SWAP (a, c);
    }
}


void
check_data (void)
{
  static const struct {
    const char     *a;
    const char     *c;
    unsigned long  d;
    int            want;

  } data[] = {

    /* anything is congruent mod 1 */
    { "0", "0", 0, 1 },
    { "1", "0", 0, 1 },
    { "0", "1", 0, 1 },
    { "123", "456", 0, 1 },
    { "0x123456789123456789", "0x987654321987654321", 0, 1 },

  };

  mpz_t   a, c;
  int     i;

  mpz_init (a);
  mpz_init (c);

  for (i = 0; i < numberof (data); i++)
    {
      mpz_set_str_or_abort (a, data[i].a, 0);
      mpz_set_str_or_abort (c, data[i].c, 0);
      check_one (a, c, data[i].d, data[i].want);
    }

  mpz_clear (a);
  mpz_clear (c);
}


void
check_random (int argc, char *argv[])
{
  gmp_randstate_t rands;
  unsigned long  d;
  mpz_t  a, c, ra, rc;
  int    i;
  int    want;
  int    reps = 5000;

  if (argc >= 2)
    reps = atoi (argv[1]);

  mpz_init (a);
  mpz_init (c);
  mpz_init (ra);
  mpz_init (rc);
  gmp_randinit_default(rands);

  for (i = 0; i < reps; i++)
    {
      mpz_errandomb (a, rands, 8*BITS_PER_MP_LIMB);
      mpz_errandomb (c, rands, 8*BITS_PER_MP_LIMB);
      d = urandom(rands) % (8*BITS_PER_MP_LIMB);

      mpz_mul_2exp (a, a, urandom(rands) % (2*BITS_PER_MP_LIMB));
      mpz_mul_2exp (c, c, urandom(rands) % (2*BITS_PER_MP_LIMB));

      mpz_negrandom (a, rands);
      mpz_negrandom (c, rands);

      mpz_fdiv_r_2exp (ra, a, d);
      mpz_fdiv_r_2exp (rc, c, d);

      want = (mpz_cmp (ra, rc) == 0);
      check_one (a, c, d, want);

      mpz_sub (ra, ra, rc);
      mpz_sub (a, a, ra);
      check_one (a, c, d, 1);
    }

  mpz_clear (a);
  mpz_clear (c);
  mpz_clear (ra);
  mpz_clear (rc);
  gmp_randclear(rands);
}


int
main (int argc, char *argv[])
{
  tests_start ();

  check_data ();
  check_random (argc, argv);

  tests_end ();
  exit (0);
}