// Copyright (c) 2014-2022, The Monero Project // // All rights reserved. // // Redistribution and use in source and binary forms, with or without modification, are // permitted provided that the following conditions are met: // // 1. Redistributions of source code must retain the above copyright notice, this list of // conditions and the following disclaimer. // // 2. Redistributions in binary form must reproduce the above copyright notice, this list // of conditions and the following disclaimer in the documentation and/or other // materials provided with the distribution. // // 3. Neither the name of the copyright holder nor the names of its contributors may be // used to endorse or promote products derived from this software without specific // prior written permission. // // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY // EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF // MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL // THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS // INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, // STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF // THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. // // Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers #include "gtest/gtest.h" #include "int-util.h" namespace { TEST(mul128, handles_zero) { uint64_t hi, lo; lo = mul128(0, 0, &hi); ASSERT_EQ(lo, 0); ASSERT_EQ(hi, 0); lo = mul128(7, 0, &hi); ASSERT_EQ(lo, 0); ASSERT_EQ(hi, 0); lo = mul128(0, 7, &hi); ASSERT_EQ(lo, 0); ASSERT_EQ(hi, 0); } TEST(mul128, handles_one) { uint64_t hi, lo; lo = mul128(1, 1, &hi); ASSERT_EQ(lo, 1); ASSERT_EQ(hi, 0); lo = mul128(7, 1, &hi); ASSERT_EQ(lo, 7); ASSERT_EQ(hi, 0); lo = mul128(1, 7, &hi); ASSERT_EQ(lo, 7); ASSERT_EQ(hi, 0); } TEST(mul128_without_carry, multiplies_correctly) { uint64_t hi, lo; lo = mul128(0x3333333333333333, 5, &hi); ASSERT_EQ(lo, 0xffffffffffffffff); ASSERT_EQ(hi, 0); lo = mul128(5, 0x3333333333333333, &hi); ASSERT_EQ(lo, 0xffffffffffffffff); ASSERT_EQ(hi, 0); lo = mul128(0x1111111111111111, 0x1111111111111111, &hi); ASSERT_EQ(lo, 0x0fedcba987654321); ASSERT_EQ(hi, 0x0123456789abcdf0); } TEST(mul128_with_carry_1_only, multiplies_correctly) { uint64_t hi, lo; lo = mul128(0xe0000000e0000000, 0xe0000000e0000000, &hi); ASSERT_EQ(lo, 0xc400000000000000); ASSERT_EQ(hi, 0xc400000188000000); } TEST(mul128_with_carry_2_only, multiplies_correctly) { uint64_t hi, lo; lo = mul128(0x10000000ffffffff, 0x10000000ffffffff, &hi); ASSERT_EQ(lo, 0xdffffffe00000001); ASSERT_EQ(hi, 0x0100000020000000); } TEST(mul128_with_carry_1_and_2, multiplies_correctly) { uint64_t hi, lo; lo = mul128(0xf1f2f3f4f5f6f7f8, 0xf9f0fafbfcfdfeff, &hi); ASSERT_EQ(lo, 0x52118e5f3b211008); ASSERT_EQ(hi, 0xec39104363716e59); lo = mul128(0xffffffffffffffff, 0xffffffffffffffff, &hi); ASSERT_EQ(lo, 0x0000000000000001); ASSERT_EQ(hi, 0xfffffffffffffffe); } TEST(div128_32, handles_zero) { uint32_t reminder; uint64_t hi; uint64_t lo; reminder = div128_32(0, 0, 7, &hi, &lo); ASSERT_EQ(reminder, 0); ASSERT_EQ(hi, 0); ASSERT_EQ(lo, 0); // Division by zero is UB, so can be tested correctly } TEST(div128_64, handles_zero) { uint64_t qhi, qlo, rhi, rlo; div128_64(0, 0, 7, &qhi, &qlo, &rhi, &rlo); ASSERT_EQ(rhi, 0); ASSERT_EQ(rlo, 0); ASSERT_EQ(qhi, 0); ASSERT_EQ(qlo, 0); // Division by zero is UB, so can be tested correctly } TEST(div128_32, handles_one) { uint32_t reminder; uint64_t hi; uint64_t lo; reminder = div128_32(0, 7, 1, &hi, &lo); ASSERT_EQ(reminder, 0); ASSERT_EQ(hi, 0); ASSERT_EQ(lo, 7); reminder = div128_32(7, 0, 1, &hi, &lo); ASSERT_EQ(reminder, 0); ASSERT_EQ(hi, 7); ASSERT_EQ(lo, 0); } TEST(div128_64, handles_one) { uint64_t qhi, qlo, rhi, rlo; div128_64(0, 7, 1, &qhi, &qlo, &rhi, &rlo); ASSERT_EQ(rhi, 0); ASSERT_EQ(rlo, 0); ASSERT_EQ(qhi, 0); ASSERT_EQ(qlo, 7); div128_64(7, 0, 1, &qhi, &qlo, &rhi, &rlo); ASSERT_EQ(rhi, 0); ASSERT_EQ(rlo, 0); ASSERT_EQ(qhi, 7); ASSERT_EQ(qlo, 0); } TEST(div128_32, handles_if_dividend_less_divider) { uint32_t reminder; uint64_t hi; uint64_t lo; reminder = div128_32(0, 1383746, 1645825, &hi, &lo); ASSERT_EQ(reminder, 1383746); ASSERT_EQ(hi, 0); ASSERT_EQ(lo, 0); } TEST(div128_64, handles_if_dividend_less_divider) { uint64_t qhi, qlo, rhi, rlo; div128_64(0, 1383746, 1645825, &qhi, &qlo, &rhi, &rlo); ASSERT_EQ(rhi, 0); ASSERT_EQ(rlo, 1383746); ASSERT_EQ(qhi, 0); ASSERT_EQ(qlo, 0); } TEST(div128_32, handles_if_dividend_dwords_less_divider) { uint32_t reminder; uint64_t hi; uint64_t lo; reminder = div128_32(0x5AD629E441074F28, 0x0DBCAB2B231081F1, 0xFE735CD6, &hi, &lo); ASSERT_EQ(reminder, 0xB9C924E9); ASSERT_EQ(hi, 0x000000005B63C274); ASSERT_EQ(lo, 0x9084FC024383E48C); } TEST(div128_64, handles_if_dividend_dwords_less_divider) { uint64_t qhi, qlo, rhi, rlo; div128_64(0x5AD629E441074F28, 0x0DBCAB2B231081F1, 0xFE735CD6, &qhi, &qlo, &rhi, &rlo); ASSERT_EQ(rhi, 0); ASSERT_EQ(rlo, 0xB9C924E9); ASSERT_EQ(qhi, 0x000000005B63C274); ASSERT_EQ(qlo, 0x9084FC024383E48C); } TEST(div128_32, works_correctly) { uint32_t reminder; uint64_t hi; uint64_t lo; reminder = div128_32(2, 0, 2, &hi, &lo); ASSERT_EQ(reminder, 0); ASSERT_EQ(hi, 1); ASSERT_EQ(lo, 0); reminder = div128_32(0xffffffffffffffff, 0, 0xffffffff, &hi, &lo); ASSERT_EQ(reminder, 0); ASSERT_EQ(hi, 0x0000000100000001); ASSERT_EQ(lo, 0); reminder = div128_32(0xffffffffffffffff, 5846, 0xffffffff, &hi, &lo); ASSERT_EQ(reminder, 5846); ASSERT_EQ(hi, 0x0000000100000001); ASSERT_EQ(lo, 0); reminder = div128_32(0xffffffffffffffff - 1, 0, 0xffffffff, &hi, &lo); ASSERT_EQ(reminder, 0xfffffffe); ASSERT_EQ(hi, 0x0000000100000000); ASSERT_EQ(lo, 0xfffffffefffffffe); reminder = div128_32(0x2649372534875028, 0xaedbfedc5adbc739, 0x27826534, &hi, &lo); ASSERT_EQ(reminder, 0x1a6dc2e5); ASSERT_EQ(hi, 0x00000000f812c1f8); ASSERT_EQ(lo, 0xddf2fdb09bc2e2e9); } TEST(div128_64, works_correctly) { uint64_t qhi, qlo, rhi, rlo; div128_64(2, 0, 2, &qhi, &qlo, &rhi, &rlo); ASSERT_EQ(rhi, 0); ASSERT_EQ(rlo, 0); ASSERT_EQ(qhi, 1); ASSERT_EQ(qlo, 0); div128_64(0xffffffffffffffff, 0, 0xffffffff, &qhi, &qlo, &rhi, &rlo); ASSERT_EQ(rhi, 0); ASSERT_EQ(rlo, 0); ASSERT_EQ(qhi, 0x0000000100000001); ASSERT_EQ(qlo, 0); div128_64(0xffffffffffffffff, 5846, 0xffffffff, &qhi, &qlo, &rhi, &rlo); ASSERT_EQ(rhi, 0); ASSERT_EQ(rlo, 5846); ASSERT_EQ(qhi, 0x0000000100000001); ASSERT_EQ(qlo, 0); div128_64(0xffffffffffffffff - 1, 0, 0xffffffff, &qhi, &qlo, &rhi, &rlo); ASSERT_EQ(rhi, 0); ASSERT_EQ(rlo, 0xfffffffe); ASSERT_EQ(qhi, 0x0000000100000000); ASSERT_EQ(qlo, 0xfffffffefffffffe); div128_64(0x2649372534875028, 0xaedbfedc5adbc739, 0x27826534, &qhi, &qlo, &rhi, &rlo); ASSERT_EQ(rhi, 0); ASSERT_EQ(rlo, 0x1a6dc2e5); ASSERT_EQ(qhi, 0x00000000f812c1f8); ASSERT_EQ(qlo, 0xddf2fdb09bc2e2e9); } TEST(div128_64, divisor_above_32_bit) { uint64_t qhi, qlo, rhi, rlo; div128_64(0, 0xffffffff, (uint64_t)0x100000000, &qhi, &qlo, &rhi, &rlo); ASSERT_EQ(rhi, 0); ASSERT_EQ(rlo, 0xffffffff); ASSERT_EQ(qhi, 0); ASSERT_EQ(qlo, 0); div128_64(0, 65, 4, &qhi, &qlo, &rhi, &rlo); ASSERT_EQ(rhi, 0); ASSERT_EQ(rlo, 1); ASSERT_EQ(qhi, 0); ASSERT_EQ(qlo, 16); div128_64(405997335029502627ull, 2552775575832427192ull, 489327483788363ull, &qhi, &qlo, &rhi, &rlo); ASSERT_EQ(rhi, 0); ASSERT_EQ(rlo, 198332080500810ull); ASSERT_EQ(qhi, 829ull); ASSERT_EQ(qlo, 13000245803763621514ull); div128_64(405997335029502627ull, 2552775575832427192ull, 1ull, &qhi, &qlo, &rhi, &rlo); ASSERT_EQ(rhi, 0); ASSERT_EQ(rlo, 0); ASSERT_EQ(qhi, 405997335029502627ull); ASSERT_EQ(qlo, 2552775575832427192ull); } }