/* * GRUB -- GRand Unified Bootloader * Copyright (C) 2013 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 . */ #include #include #include GRUB_MOD_LICENSE ("GPLv3+"); static grub_uint64_t vectors[][2] = { { 0xffffffffffffffffULL, 1}, { 1, 0xffffffffffffffffULL}, { 0xffffffffffffffffULL, 0xffffffffffffffffULL}, { 1, 1 }, { 2, 1 } }; static void test32 (grub_uint32_t a, grub_uint32_t b) { grub_uint64_t q, r; if (b == 0) return; q = grub_divmod64 (a, b, &r); grub_test_assert (r < b, "remainder is larger than dividend: 0x%llx %% 0x%llx = 0x%llx", (long long) a, (long long) b, (long long) r); grub_test_assert (q * b + r == a, "division doesn't satisfy base property: 0x%llx * 0x%llx + 0x%llx != 0x%llx", (long long) q, (long long) b, (long long) r, (long long) a); /* Overflow check. */ grub_test_assert ((q >> 32) == 0, "division overflow in 0x%llx, 0x%llx", (long long) a, (long long) b); grub_test_assert ((r >> 32) == 0, "division overflow in 0x%llx, 0x%llx", (long long) a, (long long) b); /* q * b + r is at most: 0xffffffff * 0xffffffff + 0xffffffff = 0xffffffff00000000 so no overflow */ grub_test_assert (q == (a / b), "C compiler division failure in 0x%llx, 0x%llx", (long long) a, (long long) b); grub_test_assert (r == (a % b), "C compiler modulo failure in 0x%llx, 0x%llx", (long long) a, (long long) b); } static void test64 (grub_uint64_t a, grub_uint64_t b) { grub_uint64_t q, r; grub_uint64_t x1, x2; q = grub_divmod64 (a, b, &r); grub_test_assert (r < b, "remainder is larger than dividend: 0x%llx %% 0x%llx = 0x%llx", (long long) a, (long long) b, (long long) r); grub_test_assert (q * b + r == a, "division doesn't satisfy base property: 0x%llx * 0x%llx + 0x%llx != 0x%llx", (long long) q, (long long) b, (long long) r, (long long) a); /* Overflow checks. */ grub_test_assert ((q >> 32) * (b >> 32) == 0, "division overflow in 0x%llx, 0x%llx", (long long) a, (long long) b); x1 = (q >> 32) * (b & 0xffffffff); grub_test_assert (x1 < (1LL << 32), "division overflow in 0x%llx, 0x%llx", (long long) a, (long long) b); x1 <<= 32; x2 = (b >> 32) * (q & 0xffffffff); grub_test_assert (x2 < (1LL << 32), "division overflow in 0x%llx, 0x%llx", (long long) a, (long long) b); x2 <<= 32; grub_test_assert (x1 <= ~x2, "division overflow in 0x%llx, 0x%llx", (long long) a, (long long) b); x1 += x2; x2 = (q & 0xffffffff) * (b & 0xffffffff); grub_test_assert (x1 <= ~x2, "division overflow in 0x%llx, 0x%llx", (long long) a, (long long) b); x1 += x2; grub_test_assert (x1 <= ~r, "division overflow in 0x%llx, 0x%llx", (long long) a, (long long) b); x1 += r; grub_test_assert (a == x1, "division overflow test failure in 0x%llx, 0x%llx", (long long) a, (long long) b); #if GRUB_TARGET_SIZEOF_VOID_P == 8 grub_test_assert (q == (a / b), "C compiler division failure in 0x%llx, 0x%llx", (long long) a, (long long) b); grub_test_assert (r == (a % b), "C compiler modulo failure in 0x%llx, 0x%llx", (long long) a, (long long) b); #endif } static void div_test (void) { grub_uint64_t a = 404, b = 7; grub_size_t i; for (i = 0; i < ARRAY_SIZE (vectors); i++) { test64 (vectors[i][0], vectors[i][1]); test32 (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; test64 (a, b); test32 (a, b); } } /* Register example_test method as a functional test. */ GRUB_FUNCTIONAL_TEST (div_test, div_test);