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/* Test mpz_root, mpz_rootrem, and mpz_perfect_power_p.

Copyright 1991, 1993, 1994, 1996, 2000, 2001, 2009 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 3 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.  If not, see http://www.gnu.org/licenses/.  */

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

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

void debug_mp __GMP_PROTO ((mpz_t, int));

void
check_one (mpz_t root1, mpz_t x2, unsigned long nth, int i)
{
  mpz_t temp, temp2;
  mpz_t root2, rem2;

  mpz_init (root2);
  mpz_init (rem2);
  mpz_init (temp);
  mpz_init (temp2);

  MPZ_CHECK_FORMAT (root1);

  mpz_rootrem (root2, rem2, x2, nth);
  MPZ_CHECK_FORMAT (root2);
  MPZ_CHECK_FORMAT (rem2);

  mpz_pow_ui (temp, root1, nth);
  MPZ_CHECK_FORMAT (temp);

  mpz_add (temp2, temp, rem2);

  /* Is power of result > argument?  */
  if (mpz_cmp (root1, root2) != 0 || mpz_cmp (x2, temp2) != 0 || mpz_cmp (temp, x2) > 0)
    {
      fprintf (stderr, "ERROR after test %d\n", i);
      debug_mp (x2, 10);
      debug_mp (root1, 10);
      debug_mp (root2, 10);
      fprintf (stderr, "nth: %lu\n", nth);
      abort ();
    }

  if (nth > 1 && mpz_cmp_ui (temp, 1L) > 0 && ! mpz_perfect_power_p (temp))
    {
      fprintf (stderr, "ERROR in mpz_perfect_power_p after test %d\n", i);
      debug_mp (temp, 10);
      debug_mp (root1, 10);
      fprintf (stderr, "nth: %lu\n", nth);
      abort ();
    }

  if (nth <= 10000)		/* skip too expensive test */
    {
      mpz_add_ui (temp2, root1, 1L);
      mpz_pow_ui (temp2, temp2, nth);
      MPZ_CHECK_FORMAT (temp2);

      /* Is square of (result + 1) <= argument?  */
      if (mpz_cmp (temp2, x2) <= 0)
	{
	  fprintf (stderr, "ERROR after test %d\n", i);
	  debug_mp (x2, 10);
	  debug_mp (root1, 10);
	  fprintf (stderr, "nth: %lu\n", nth);
	  abort ();
	}
    }

  mpz_clear (root2);
  mpz_clear (rem2);
  mpz_clear (temp);
  mpz_clear (temp2);
}

int
main (int argc, char **argv)
{
  mpz_t x2;
  mpz_t root1;
  mp_size_t x2_size;
  int i;
  int reps = 500;
  unsigned long nth;
  gmp_randstate_ptr rands;
  mpz_t bs;
  unsigned long bsi, size_range;

  tests_start ();
  TESTS_REPS (reps, argv, argc);

  rands = RANDS;

  mpz_init (bs);

  mpz_init (x2);
  mpz_init (root1);

  /* This triggers a gcc 4.3.2 bug */
  mpz_set_str (x2, "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff80000000000000000000000000000000000000000000000000000000000000002", 16);
  mpz_root (root1, x2, 2);
  check_one (root1, x2, 2, -1);

  for (i = 0; i < reps; i++)
    {
      mpz_urandomb (bs, rands, 32);
      size_range = mpz_get_ui (bs) % 17 + 2;

      mpz_urandomb (bs, rands, size_range);
      x2_size = mpz_get_ui (bs) + 10;
      mpz_rrandomb (x2, rands, x2_size);

      mpz_urandomb (bs, rands, 15);
      nth = mpz_getlimbn (bs, 0) % mpz_sizeinbase (x2, 2) + 2;

      mpz_root (root1, x2, nth);

      mpz_urandomb (bs, rands, 4);
      bsi = mpz_get_ui (bs);
      if ((bsi & 1) != 0)
	{
	  /* With 50% probability, set x2 near a perfect power.  */
	  mpz_pow_ui (x2, root1, nth);
	  if ((bsi & 2) != 0)
	    {
	      mpz_sub_ui (x2, x2, bsi >> 2);
	      mpz_abs (x2, x2);
	    }
	  else
	    mpz_add_ui (x2, x2, bsi >> 2);
	  mpz_root (root1, x2, nth);
	}

      check_one (root1, x2, nth, i);
    }

  mpz_clear (bs);
  mpz_clear (x2);
  mpz_clear (root1);

  tests_end ();
  exit (0);
}

void
debug_mp (mpz_t x, int base)
{
  mpz_out_str (stderr, base, x); fputc ('\n', stderr);
}