third_party/gmp/tests/mpz/t-sqrtrem.c

/* Test mpz_add, mpz_add_ui, mpz_cmp, mpz_cmp, mpz_mul, mpz_sqrtrem.

Copyright 1991, 1993, 1994, 1996, 2000-2002 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"

void dump_abort (mpz_t, mpz_t, mpz_t);
void debug_mp (mpz_t, int);

int
main (int argc, char **argv)
{
  mpz_t x2;
  mpz_t x, rem;
  mpz_t temp, temp2;
  mp_size_t x2_size;
  int i;
  int reps = 1000;
  gmp_randstate_ptr rands;
  mpz_t bs;
  unsigned long size_range;

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

  rands = RANDS;

  mpz_init (bs);

  mpz_init (x2);
  mpz_init (x);
  mpz_init (rem);
  mpz_init (temp);
  mpz_init (temp2);

  for (i = 0; i < reps; i++)
    {
      mpz_urandomb (bs, rands, 32);
      size_range = mpz_get_ui (bs) % 17 + 2; /* 0..262144 bit operands */

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

      /* printf ("%ld\n", SIZ (x2)); */

      mpz_sqrt (temp, x2);
      MPZ_CHECK_FORMAT (temp);

      mpz_sqrtrem (x, rem, x2);
      MPZ_CHECK_FORMAT (x);
      MPZ_CHECK_FORMAT (rem);

      /* Are results different?  */
      if (mpz_cmp (temp, x) != 0)
	dump_abort (x2, x, rem);

      mpz_mul (temp, x, x);

      /* Is square of result > argument?  */
      if (mpz_cmp (temp, x2) > 0)
	dump_abort (x2, x, rem);

      mpz_add_ui (temp2, x, 1);
      mpz_mul (temp2, temp2, temp2);

      /* Is square of (result + 1) <= argument?  */
      if (mpz_cmp (temp2, x2) <= 0)
	dump_abort (x2, x, rem);

      mpz_add (temp2, temp, rem);

      /* Is the remainder wrong?  */
      if (mpz_cmp (x2, temp2) != 0)
	dump_abort (x2, x, rem);
    }

  mpz_clear (bs);
  mpz_clear (x2);
  mpz_clear (x);
  mpz_clear (rem);
  mpz_clear (temp);
  mpz_clear (temp2);

  tests_end ();
  exit (0);
}

void
dump_abort (mpz_t x2, mpz_t x, mpz_t rem)
{
  fprintf (stderr, "ERROR\n");
  fprintf (stderr, "x2        = "); debug_mp (x2, -16);
  fprintf (stderr, "x         = "); debug_mp (x, -16);
  fprintf (stderr, "remainder = "); debug_mp (rem, -16);
  abort();
}

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