third_party/gmp/mini-gmp/tests/t-invert.c

/*

Copyright 2012, 2016 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 <assert.h>
#include <limits.h>
#include <stdlib.h>
#include <stdio.h>

#include "testutils.h"

#define GMP_LIMB_BITS (sizeof(mp_limb_t) * CHAR_BIT)

#define COUNT 10000

static void
test_2by1(const mpz_t u)
{
  mpz_t m, p, t;

  mpz_init (m);
  mpz_init (p);
  mpz_init (t);

  assert (mpz_size (u) == 1);

  mpz_set_ui (m, mpn_invert_limb (u->_mp_d[0]));
  mpz_setbit (m, GMP_LIMB_BITS);

  mpz_mul (p, m, u);

  mpz_set_ui (t, 0);
  mpz_setbit (t, 2* GMP_LIMB_BITS);
  mpz_sub (t, t, p);

  /* Should have 0 < B^2 - m u <= u */
  if (mpz_sgn (t) <= 0 || mpz_cmp (t, u) > 0)
    {
      fprintf (stderr, "mpn_invert_limb failed:\n");
      dump ("u", u);
      dump ("m", m);
      dump ("p", p);
      dump ("t", t);
      abort ();
    }
  mpz_clear (m);
  mpz_clear (p);
  mpz_clear (t);
}

static void
test_3by2(const mpz_t u)
{
  mpz_t m, p, t;

  mpz_init (m);
  mpz_init (p);
  mpz_init (t);

  assert (mpz_size (u) == 2);

  mpz_set_ui (m, mpn_invert_3by2 (u->_mp_d[1], u[0]._mp_d[0]));

  mpz_setbit (m, GMP_LIMB_BITS);

  mpz_mul (p, m, u);

  mpz_set_ui (t, 0);
  mpz_setbit (t, 3 * GMP_LIMB_BITS);
  mpz_sub (t, t, p);

  /* Should have 0 < B^3 - m u <= u */
  if (mpz_sgn (t) <= 0 || mpz_cmp (t, u) > 0)
    {
      fprintf (stderr, "mpn_invert_3by2 failed:\n");
      dump ("u", u);
      dump ("m", m);
      dump ("p", p);
      dump ("t", t);
      abort ();
    }
  mpz_clear (m);
  mpz_clear (p);
  mpz_clear (t);
}

void
testmain (int argc, char **argv)
{
  unsigned i;
  mpz_t u, m, p, t;

  mpz_init (u);
  mpz_init (m);
  mpz_init (p);
  mpz_init (t);

  /* These values trigger 32-bit overflow of ql in mpn_invert_3by2. */
  if (GMP_LIMB_BITS == 64)
    {
      mpz_set_str (u, "80007fff3ffe0000", 16);
      test_2by1 (u);
      mpz_set_str (u, "80007fff3ffe000000000000000003ff", 16);
      test_3by2 (u);
    }

  for (i = 0; i < COUNT; i++)
    {
      mini_urandomb (u, GMP_LIMB_BITS);
      mpz_setbit (u, GMP_LIMB_BITS -1);

      test_2by1 (u);
    }

  for (i = 0; i < COUNT; i++)
    {
      mini_urandomb (u, 2*GMP_LIMB_BITS);
      mpz_setbit (u, 2*GMP_LIMB_BITS -1);

      test_3by2 (u);
    }

  mpz_clear (u);
}