grub/grub-core/tests/cmp_test.c

/*
 *  GRUB  --  GRand Unified Bootloader
 *  Copyright (C) 2015 Free Software Foundation, Inc.
 *
 *  GRUB 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.
 *
 *  GRUB 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 GRUB.  If not, see <http://www.gnu.org/licenses/>.
 */

#include <grub/test.h>
#include <grub/dl.h>
#include <grub/misc.h>

GRUB_MOD_LICENSE ("GPLv3+");

static grub_uint64_t vectors[][2] = {
  { 0xffffffffffffffffULL, 1},
  { 1, 0xffffffffffffffffULL},
  { 0xffffffffffffffffULL, 0xffffffffffffffffULL},
  { 1, 1 },
  { 2, 1 }
};

/* Don't change those to use shift as shift may call to compile rt
   functions and we're not testing them now.
 */
static int
leading_bit64 (grub_uint64_t a)
{
  return !!(a & 0x8000000000000000LL);
}

static int
leading_bit32 (grub_uint32_t a)
{
  return !!(a & 0x80000000);
}

/* Computes (a < b) without involving comparison operator.  */
static int
is_less32 (grub_uint32_t a, grub_uint32_t b)
{
  if (leading_bit32(a) && !leading_bit32(b))
    return 0;
  if (!leading_bit32(a) && leading_bit32(b))
    return 1;
  return leading_bit32(a - b);
}

static void
test32 (grub_uint32_t a, grub_uint32_t b)
{
  grub_test_assert ((a < b) == is_less32(a, b), "comparison result mismatch: %lld, %lld",
		    (long long) a, (long long) b);
  grub_test_assert ((a > b) == is_less32(b, a), "comparison result mismatch: %lld, %lld",
		    (long long) a, (long long) b);
  grub_test_assert ((b < a) == is_less32(b, a), "comparison result mismatch: %lld, %lld",
		    (long long) a, (long long) b);
  grub_test_assert ((b > a) == is_less32(a, b), "comparison result mismatch: %lld, %lld",
		    (long long) a, (long long) b);
  grub_test_assert (!(is_less32(a, b) && is_less32(b, a)), "comparison inconsistent: %lld, %lld",
		    (long long) a, (long long) b);
}

/* Computes (a > b) without involving comparison operator.  */
static int
is_less32s (grub_int32_t a, grub_int32_t b)
{
  if (leading_bit32(a) && !leading_bit32(b))
    return 1; /* a < 0 && b >= 0. */
  if (!leading_bit32(a) && leading_bit32(b))
    return 0; /* b < 0 && a >= 0. */
  return leading_bit32(a - b);
}

static void
test32s (grub_int32_t a, grub_int32_t b)
{
  grub_test_assert ((a < b) == is_less32s(a, b), "comparison result mismatch: %lld, %lld",
		    (long long) a, (long long) b);
  grub_test_assert ((a > b) == is_less32s(b, a), "comparison result mismatch: %lld, %lld",
		    (long long) a, (long long) b);
  grub_test_assert ((b < a) == is_less32s(b, a), "comparison result mismatch: %lld, %lld",
		    (long long) a, (long long) b);
  grub_test_assert ((b > a) == is_less32s(a, b), "comparison result mismatch: %lld, %lld",
		    (long long) a, (long long) b);
  grub_test_assert (!(is_less32s(a, b) && is_less32s(b, a)), "comparison inconsistent: %lld, %lld",
		    (long long) a, (long long) b);
}

/* Computes (a > b) without involving comparison operator.  */
static int
is_less64 (grub_uint64_t a, grub_uint64_t b)
{
  if (leading_bit64(a) && !leading_bit64(b))
    return 0;
  if (!leading_bit64(a) && leading_bit64(b))
    return 1;
  return leading_bit64(a - b);
}

static void
test64 (grub_uint64_t a, grub_uint64_t b)
{
  grub_test_assert ((a < b) == is_less64(a, b), "comparison result mismatch: %lld, %lld",
		    (long long) a, (long long) b);
  grub_test_assert ((a > b) == is_less64(b, a), "comparison result mismatch: %lld, %lld",
		    (long long) a, (long long) b);
  grub_test_assert ((b < a) == is_less64(b, a), "comparison result mismatch: %lld, %lld",
		    (long long) a, (long long) b);
  grub_test_assert ((b > a) == is_less64(a, b), "comparison result mismatch: %lld, %lld",
		    (long long) a, (long long) b);
  grub_test_assert (!(is_less64(a, b) && is_less64(b, a)), "comparison inconsistent: %lld, %lld",
		    (long long) a, (long long) b);
}

/* Computes (a > b) without involving comparison operator.  */
static int
is_less64s (grub_int64_t a, grub_int64_t b)
{
  if (leading_bit64(a) && !leading_bit64(b))
    return 1; /* a < 0 && b >= 0. */
  if (!leading_bit64(a) && leading_bit64(b))
    return 0; /* b < 0 && a >= 0. */
  return leading_bit64(a - b);
}

static void
test64s (grub_int64_t a, grub_int64_t b)
{
  grub_test_assert ((a < b) == is_less64s(a, b), "comparison result mismatch: %lld, %lld",
		    (long long) a, (long long) b);
  grub_test_assert ((a > b) == is_less64s(b, a), "comparison result mismatch: %lld, %lld",
		    (long long) a, (long long) b);
  grub_test_assert ((b < a) == is_less64s(b, a), "comparison result mismatch: %lld, %lld",
		    (long long) a, (long long) b);
  grub_test_assert ((b > a) == is_less64s(a, b), "comparison result mismatch: %lld, %lld",
		    (long long) a, (long long) b);
  grub_test_assert (!(is_less64s(a, b) && is_less64s(b, a)), "comparison inconsistent: %lld, %lld",
		    (long long) a, (long long) b);
}

static void
test_all(grub_uint64_t a, grub_uint64_t b)
{
  test64 (a, b);
  test32 (a, b);
  test64s (a, b);
  test32s (a, b);
  test64s (a, -b);
  test32s (a, -b);
  test64s (-a, b);
  test32s (-a, b);
  test64s (-a, -b);
  test32s (-a, -b);
}

static void
cmp_test (void)
{
  grub_uint64_t a = 404, b = 7;
  grub_size_t i;

  for (i = 0; i < ARRAY_SIZE (vectors); i++)
    {
      test_all (vectors[i][0], vectors[i][1]);
    }
  for (i = 0; i < 40000; i++)
    {
      a = 17 * a + 13 * b;
      b = 23 * a + 29 * b;
      if (b == 0)
	b = 1;
      if (a == 0)
	a = 1;
      test_all (a, b);
    }
}

/* Register example_test method as a functional test.  */
GRUB_FUNCTIONAL_TEST (cmp_test, cmp_test);