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Support median block size > 4 GB

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add a 128/64 division routine so we can use a > 32 bit median block
size in calculations
This commit is contained in:
moneromooo-monero 2019-10-07 19:24:57 +00:00
parent b60cf6a938
commit be82c40703
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GPG key ID: 686F07454D6CEFC3
6 changed files with 174 additions and 14 deletions
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116
tests/unit_tests/mul_div.cpp
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@ -130,6 +130,19 @@ namespace
// 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;
@ -147,6 +160,23 @@ namespace
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;
@ -159,6 +189,17 @@ namespace
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;
@ -171,6 +212,17 @@ namespace
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;
@ -202,4 +254,68 @@ namespace
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);
}
}