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webkit / WebKit / 84774fe198803611f5618b9a9f2415bf7b147653 / . / Tools / TestWebKitAPI / Tests / WTF / Int128.cpp
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// Copyright 2017 The Abseil Authors.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// https://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
//
// Some of tests are taken from LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See Source/WTF/LICENSE-LLVM.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
// Based on:
// https://github.com/llvm/llvm-project/blob/d480f968/flang/unittests/Evaluate/uint128.cpp
#include "config.h"
#include <wtf/Int128.h>
#include <algorithm>
#include <limits>
#include <random>
#include <type_traits>
#include <utility>
#include <vector>
namespace TestWebKitAPI {
template <typename T>
class WTF_UInt128IntegerTraitsTest : public ::testing::Test {
};
typedef ::testing::Types<bool, char, signed char, unsigned char, char16_t,
char32_t, wchar_t,
short, // NOLINT(runtime/int)
unsigned short, // NOLINT(runtime/int)
int, unsigned int,
long, // NOLINT(runtime/int)
unsigned long, // NOLINT(runtime/int)
long long, // NOLINT(runtime/int)
unsigned long long> // NOLINT(runtime/int)
IntegerTypes;
template <typename T>
class WTF_UInt128FloatTraitsTest : public ::testing::Test {
};
typedef ::testing::Types<float, double, long double> FloatingPointTypes;
TYPED_TEST_SUITE(WTF_UInt128IntegerTraitsTest, IntegerTypes);
TYPED_TEST(WTF_UInt128IntegerTraitsTest, ConstructAssignTest)
{
static_assert(std::is_constructible<WTF::UInt128Impl, TypeParam>::value,
"WTF::UInt128Impl must be constructible from TypeParam");
static_assert(std::is_assignable<WTF::UInt128Impl&, TypeParam>::value,
"WTF::UInt128Impl must be assignable from TypeParam");
static_assert(!std::is_assignable<TypeParam&, WTF::UInt128Impl>::value,
"TypeParam must not be assignable from WTF::UInt128Impl");
}
TYPED_TEST_SUITE(WTF_UInt128FloatTraitsTest, FloatingPointTypes);
TYPED_TEST(WTF_UInt128FloatTraitsTest, ConstructAssignTest)
{
static_assert(std::is_constructible<WTF::UInt128Impl, TypeParam>::value,
"WTF::UInt128Impl must be constructible from TypeParam");
static_assert(!std::is_assignable<WTF::UInt128Impl&, TypeParam>::value,
"WTF::UInt128Impl must not be assignable from TypeParam");
static_assert(!std::is_assignable<TypeParam&, WTF::UInt128Impl>::value,
"TypeParam must not be assignable from WTF::UInt128Impl");
}
TEST(WTF_UInt128, TrivialTraitsTest)
{
static_assert(std::is_trivially_default_constructible<WTF::UInt128Impl>::value,
"");
static_assert(std::is_trivially_copy_constructible<WTF::UInt128Impl>::value,
"");
static_assert(std::is_trivially_copy_assignable<WTF::UInt128Impl>::value);
static_assert(std::is_trivially_destructible<WTF::UInt128Impl>::value);
}
TEST(WTF_UInt128, AllTests)
{
WTF::UInt128Impl zero = 0;
WTF::UInt128Impl one = 1;
WTF::UInt128Impl one_2arg = WTF::MakeUInt128(0, 1);
WTF::UInt128Impl two = 2;
WTF::UInt128Impl three = 3;
WTF::UInt128Impl big = WTF::MakeUInt128(2000, 2);
WTF::UInt128Impl big_minus_one = WTF::MakeUInt128(2000, 1);
WTF::UInt128Impl bigger = WTF::MakeUInt128(2001, 1);
WTF::UInt128Impl biggest = WTF::UInt128Max();
WTF::UInt128Impl high_low = WTF::MakeUInt128(1, 0);
WTF::UInt128Impl low_high = WTF::MakeUInt128(0, std::numeric_limits<uint64_t>::max());
EXPECT_LT(one, two);
EXPECT_GT(two, one);
EXPECT_LT(one, big);
EXPECT_LT(one, big);
EXPECT_EQ(one, one_2arg);
EXPECT_NE(one, two);
EXPECT_GT(big, one);
EXPECT_GE(big, two);
EXPECT_GE(big, big_minus_one);
EXPECT_GT(big, big_minus_one);
EXPECT_LT(big_minus_one, big);
EXPECT_LE(big_minus_one, big);
EXPECT_NE(big_minus_one, big);
EXPECT_LT(big, biggest);
EXPECT_LE(big, biggest);
EXPECT_GT(biggest, big);
EXPECT_GE(biggest, big);
EXPECT_EQ(big, ~~big);
EXPECT_EQ(one, one | one);
EXPECT_EQ(big, big | big);
EXPECT_EQ(one, one | zero);
EXPECT_EQ(one, one & one);
EXPECT_EQ(big, big & big);
EXPECT_EQ(zero, one & zero);
EXPECT_EQ(zero, big & ~big);
EXPECT_EQ(zero, one ^ one);
EXPECT_EQ(zero, big ^ big);
EXPECT_EQ(one, one ^ zero);
// Shift operators.
EXPECT_EQ(big, big << 0);
EXPECT_EQ(big, big >> 0);
EXPECT_GT(big << 1, big);
EXPECT_LT(big >> 1, big);
EXPECT_EQ(big, (big << 10) >> 10);
EXPECT_EQ(big, (big >> 1) << 1);
EXPECT_EQ(one, (one << 80) >> 80);
EXPECT_EQ(zero, (one >> 80) << 80);
// Shift assignments.
WTF::UInt128Impl big_copy = big;
EXPECT_EQ(big << 0, big_copy <<= 0);
big_copy = big;
EXPECT_EQ(big >> 0, big_copy >>= 0);
big_copy = big;
EXPECT_EQ(big << 1, big_copy <<= 1);
big_copy = big;
EXPECT_EQ(big >> 1, big_copy >>= 1);
big_copy = big;
EXPECT_EQ(big << 10, big_copy <<= 10);
big_copy = big;
EXPECT_EQ(big >> 10, big_copy >>= 10);
big_copy = big;
EXPECT_EQ(big << 64, big_copy <<= 64);
big_copy = big;
EXPECT_EQ(big >> 64, big_copy >>= 64);
big_copy = big;
EXPECT_EQ(big << 73, big_copy <<= 73);
big_copy = big;
EXPECT_EQ(big >> 73, big_copy >>= 73);
EXPECT_EQ(WTF::UInt128High64(biggest), std::numeric_limits<uint64_t>::max());
EXPECT_EQ(WTF::UInt128Low64(biggest), std::numeric_limits<uint64_t>::max());
EXPECT_EQ(zero + one, one);
EXPECT_EQ(one + one, two);
EXPECT_EQ(big_minus_one + one, big);
EXPECT_EQ(one - one, zero);
EXPECT_EQ(one - zero, one);
EXPECT_EQ(zero - one, biggest);
EXPECT_EQ(big - big, zero);
EXPECT_EQ(big - one, big_minus_one);
EXPECT_EQ(big + std::numeric_limits<uint64_t>::max(), bigger);
EXPECT_EQ(biggest + 1, zero);
EXPECT_EQ(zero - 1, biggest);
EXPECT_EQ(high_low - one, low_high);
EXPECT_EQ(low_high + one, high_low);
EXPECT_EQ(WTF::UInt128High64((WTF::UInt128Impl(1) << 64) - 1), 0U);
EXPECT_EQ(WTF::UInt128Low64((WTF::UInt128Impl(1) << 64) - 1),
std::numeric_limits<uint64_t>::max());
EXPECT_TRUE(!!one);
EXPECT_TRUE(!!high_low);
EXPECT_FALSE(!!zero);
EXPECT_FALSE(!one);
EXPECT_FALSE(!high_low);
EXPECT_TRUE(!zero);
EXPECT_TRUE(zero == 0); // NOLINT(readability/check)
EXPECT_FALSE(zero != 0); // NOLINT(readability/check)
EXPECT_FALSE(one == 0); // NOLINT(readability/check)
EXPECT_TRUE(one != 0); // NOLINT(readability/check)
EXPECT_FALSE(high_low == 0); // NOLINT(readability/check)
EXPECT_TRUE(high_low != 0); // NOLINT(readability/check)
WTF::UInt128Impl test = zero;
EXPECT_EQ(++test, one);
EXPECT_EQ(test, one);
EXPECT_EQ(test++, one);
EXPECT_EQ(test, two);
EXPECT_EQ(test -= 2, zero);
EXPECT_EQ(test, zero);
EXPECT_EQ(test += 2, two);
EXPECT_EQ(test, two);
EXPECT_EQ(--test, one);
EXPECT_EQ(test, one);
EXPECT_EQ(test--, one);
EXPECT_EQ(test, zero);
EXPECT_EQ(test |= three, three);
EXPECT_EQ(test &= one, one);
EXPECT_EQ(test ^= three, two);
EXPECT_EQ(test >>= 1, one);
EXPECT_EQ(test <<= 1, two);
EXPECT_EQ(big, +big);
EXPECT_EQ(two, +two);
EXPECT_EQ(WTF::UInt128Max(), +WTF::UInt128Max());
EXPECT_EQ(zero, +zero);
EXPECT_EQ(big, -(-big));
EXPECT_EQ(two, -((-one) - 1));
EXPECT_EQ(WTF::UInt128Max(), -one);
EXPECT_EQ(zero, -zero);
}
TEST(WTF_Int128, RightShiftOfNegativeNumbers)
{
WTF::Int128Impl minus_six = -6;
WTF::Int128Impl minus_three = -3;
WTF::Int128Impl minus_two = -2;
WTF::Int128Impl minus_one = -1;
if ((-6 >> 1) == -3) {
// Right shift is arithmetic (sign propagates)
EXPECT_EQ(minus_six >> 1, minus_three);
EXPECT_EQ(minus_six >> 2, minus_two);
EXPECT_EQ(minus_six >> 65, minus_one);
} else {
// Right shift is logical (zeros shifted in at MSB)
EXPECT_EQ(minus_six >> 1, WTF::Int128Impl(WTF::UInt128Impl(minus_six) >> 1));
EXPECT_EQ(minus_six >> 2, WTF::Int128Impl(WTF::UInt128Impl(minus_six) >> 2));
EXPECT_EQ(minus_six >> 65, WTF::Int128Impl(WTF::UInt128Impl(minus_six) >> 65));
}
}
TEST(WTF_UInt128, ConversionTests)
{
EXPECT_TRUE(WTF::MakeUInt128(1, 0));
// verify that an integer greater than 2**64 that can be stored precisely
// inside a double is converted to a WTF::UInt128Impl without loss of
// information.
double precise_double = 0x530e * std::pow(2.0, 64.0) + 0xda74000000000000;
WTF::UInt128Impl from_precise_double(precise_double);
WTF::UInt128Impl from_precise_ints = WTF::MakeUInt128(0x530e, 0xda74000000000000);
EXPECT_EQ(from_precise_double, from_precise_ints);
EXPECT_DOUBLE_EQ(static_cast<double>(from_precise_ints), precise_double);
double approx_double = static_cast<double>(0xffffeeeeddddcccc) * std::pow(2.0, 64.0) + static_cast<double>(0xbbbbaaaa99998888);
WTF::UInt128Impl from_approx_double(approx_double);
EXPECT_DOUBLE_EQ(static_cast<double>(from_approx_double), approx_double);
double round_to_zero = 0.7;
double round_to_five = 5.8;
double round_to_nine = 9.3;
EXPECT_EQ(static_cast<WTF::UInt128Impl>(round_to_zero), 0);
EXPECT_EQ(static_cast<WTF::UInt128Impl>(round_to_five), 5);
EXPECT_EQ(static_cast<WTF::UInt128Impl>(round_to_nine), 9);
WTF::UInt128Impl highest_precision_in_long_double = ~WTF::UInt128Impl {} >> (128 - std::numeric_limits<long double>::digits);
EXPECT_EQ(highest_precision_in_long_double,
static_cast<WTF::UInt128Impl>(
static_cast<long double>(highest_precision_in_long_double)));
// Apply a mask just to make sure all the bits are the right place.
const WTF::UInt128Impl arbitrary_mask = WTF::MakeUInt128(0xa29f622677ded751, 0xf8ca66add076f468);
EXPECT_EQ(highest_precision_in_long_double & arbitrary_mask,
static_cast<WTF::UInt128Impl>(static_cast<long double>(
highest_precision_in_long_double & arbitrary_mask)));
EXPECT_EQ(static_cast<WTF::UInt128Impl>(-0.1L), 0);
}
TEST(WTF_UInt128, OperatorAssignReturnRef)
{
WTF::UInt128Impl v(1);
(v += 4) -= 3;
EXPECT_EQ(2, v);
}
TEST(WTF_UInt128, Multiply)
{
WTF::UInt128Impl a, b, c;
// Zero test.
a = 0;
b = 0;
c = a * b;
EXPECT_EQ(0, c);
// Max carries.
a = WTF::UInt128Impl(0) - 1;
b = WTF::UInt128Impl(0) - 1;
c = a * b;
EXPECT_EQ(1, c);
// Self-operation with max carries.
c = WTF::UInt128Impl(0) - 1;
c *= c;
EXPECT_EQ(1, c);
// 1-bit x 1-bit.
for (int i = 0; i < 64; ++i) {
for (int j = 0; j < 64; ++j) {
a = WTF::UInt128Impl(1) << i;
b = WTF::UInt128Impl(1) << j;
c = a * b;
EXPECT_EQ(WTF::UInt128Impl(1) << (i + j), c);
}
}
// Verified with dc.
a = WTF::MakeUInt128(0xffffeeeeddddcccc, 0xbbbbaaaa99998888);
b = WTF::MakeUInt128(0x7777666655554444, 0x3333222211110000);
c = a * b;
EXPECT_EQ(WTF::MakeUInt128(0x530EDA741C71D4C3, 0xBF25975319080000), c);
EXPECT_EQ(0, c - b * a);
EXPECT_EQ(a * a - b * b, (a + b) * (a - b));
// Verified with dc.
a = WTF::MakeUInt128(0x0123456789abcdef, 0xfedcba9876543210);
b = WTF::MakeUInt128(0x02468ace13579bdf, 0xfdb97531eca86420);
c = a * b;
EXPECT_EQ(WTF::MakeUInt128(0x97a87f4f261ba3f2, 0x342d0bbf48948200), c);
EXPECT_EQ(0, c - b * a);
EXPECT_EQ(a * a - b * b, (a + b) * (a - b));
}
TEST(WTF_UInt128, AliasTests)
{
WTF::UInt128Impl x1 = WTF::MakeUInt128(1, 2);
WTF::UInt128Impl x2 = WTF::MakeUInt128(2, 4);
x1 += x1;
EXPECT_EQ(x2, x1);
WTF::UInt128Impl x3 = WTF::MakeUInt128(1, static_cast<uint64_t>(1) << 63);
WTF::UInt128Impl x4 = WTF::MakeUInt128(3, 0);
x3 += x3;
EXPECT_EQ(x4, x3);
}
TEST(WTF_UInt128, DivideAndMod)
{
using std::swap;
// a := q * b + r
WTF::UInt128Impl a, b, q, r;
// Zero test.
a = 0;
b = 123;
q = a / b;
r = a % b;
EXPECT_EQ(0, q);
EXPECT_EQ(0, r);
a = WTF::MakeUInt128(0x530eda741c71d4c3, 0xbf25975319080000);
q = WTF::MakeUInt128(0x4de2cab081, 0x14c34ab4676e4bab);
b = WTF::UInt128Impl(0x1110001);
r = WTF::UInt128Impl(0x3eb455);
ASSERT_EQ(a, q * b + r); // Sanity-check.
WTF::UInt128Impl result_q, result_r;
result_q = a / b;
result_r = a % b;
EXPECT_EQ(q, result_q);
EXPECT_EQ(r, result_r);
// Try the other way around.
swap(q, b);
result_q = a / b;
result_r = a % b;
EXPECT_EQ(q, result_q);
EXPECT_EQ(r, result_r);
// Restore.
swap(b, q);
// Dividend < divisor; result should be q:0 r:<dividend>.
swap(a, b);
result_q = a / b;
result_r = a % b;
EXPECT_EQ(0, result_q);
EXPECT_EQ(a, result_r);
// Try the other way around.
swap(a, q);
result_q = a / b;
result_r = a % b;
EXPECT_EQ(0, result_q);
EXPECT_EQ(a, result_r);
// Restore.
swap(q, a);
swap(b, a);
// Try a large remainder.
b = a / 2 + 1;
WTF::UInt128Impl expected_r = WTF::MakeUInt128(0x29876d3a0e38ea61, 0xdf92cba98c83ffff);
// Sanity checks.
ASSERT_EQ(a / 2 - 1, expected_r);
ASSERT_EQ(a, b + expected_r);
result_q = a / b;
result_r = a % b;
EXPECT_EQ(1, result_q);
EXPECT_EQ(expected_r, result_r);
}
TEST(WTF_UInt128, DivideAndModRandomInputs)
{
const int kNumIters = 1 << 18;
std::minstd_rand random(testing::UnitTest::GetInstance()->random_seed());
std::uniform_int_distribution<uint64_t> uniform_uint64;
for (int i = 0; i < kNumIters; ++i) {
const WTF::UInt128Impl a = WTF::MakeUInt128(uniform_uint64(random), uniform_uint64(random));
const WTF::UInt128Impl b = WTF::MakeUInt128(uniform_uint64(random), uniform_uint64(random));
if (b == 0) {
continue; // Avoid a div-by-zero.
}
const WTF::UInt128Impl q = a / b;
const WTF::UInt128Impl r = a % b;
ASSERT_EQ(a, b * q + r);
}
}
TEST(WTF_UInt128, ConstexprTest)
{
constexpr WTF::UInt128Impl zero = WTF::UInt128Impl();
constexpr WTF::UInt128Impl one = 1;
constexpr WTF::UInt128Impl minus_two = -2;
EXPECT_EQ(zero, WTF::UInt128Impl(0));
EXPECT_EQ(one, WTF::UInt128Impl(1));
EXPECT_EQ(minus_two, WTF::MakeUInt128(-1, -2));
}
TEST(WTF_UInt128, NumericLimitsTest)
{
static_assert(std::numeric_limits<WTF::UInt128Impl>::is_specialized);
static_assert(!std::numeric_limits<WTF::UInt128Impl>::is_signed);
static_assert(std::numeric_limits<WTF::UInt128Impl>::is_integer);
EXPECT_EQ(static_cast<int>(128 * std::log10(2)),
std::numeric_limits<WTF::UInt128Impl>::digits10);
EXPECT_EQ(0, std::numeric_limits<WTF::UInt128Impl>::min());
EXPECT_EQ(0, std::numeric_limits<WTF::UInt128Impl>::lowest());
EXPECT_EQ(WTF::UInt128Max(), std::numeric_limits<WTF::UInt128Impl>::max());
}
TEST(WTF_Int128UInt128, ConversionTest)
{
WTF::Int128Impl nonnegative_signed_values[] = {
0,
1,
0xffeeddccbbaa9988,
WTF::MakeInt128(0x7766554433221100, 0),
WTF::MakeInt128(0x1234567890abcdef, 0xfedcba0987654321),
WTF::Int128Max()
};
for (WTF::Int128Impl value : nonnegative_signed_values) {
EXPECT_EQ(value, WTF::Int128Impl(WTF::UInt128Impl(value)));
WTF::UInt128Impl assigned_value;
assigned_value = value;
EXPECT_EQ(value, WTF::Int128Impl(assigned_value));
}
WTF::Int128Impl negative_values[] = {
-1, -0x1234567890abcdef,
WTF::MakeInt128(-0x5544332211ffeedd, 0),
-WTF::MakeInt128(0x76543210fedcba98, 0xabcdef0123456789)
};
for (WTF::Int128Impl value : negative_values) {
EXPECT_EQ(WTF::UInt128Impl(-value), -WTF::UInt128Impl(value));
WTF::UInt128Impl assigned_value;
assigned_value = value;
EXPECT_EQ(WTF::UInt128Impl(-value), -assigned_value);
}
}
template <typename T>
class WTF_Int128IntegerTraitsTest : public ::testing::Test {
};
TYPED_TEST_SUITE(WTF_Int128IntegerTraitsTest, IntegerTypes);
TYPED_TEST(WTF_Int128IntegerTraitsTest, ConstructAssignTest)
{
static_assert(std::is_constructible<WTF::Int128Impl, TypeParam>::value,
"WTF::Int128Impl must be constructible from TypeParam");
static_assert(std::is_assignable<WTF::Int128Impl&, TypeParam>::value,
"WTF::Int128Impl must be assignable from TypeParam");
static_assert(!std::is_assignable<TypeParam&, WTF::Int128Impl>::value,
"TypeParam must not be assignable from WTF::Int128Impl");
}
template <typename T>
class WTF_Int128FloatTraitsTest : public ::testing::Test {
};
TYPED_TEST_SUITE(WTF_Int128FloatTraitsTest, FloatingPointTypes);
TYPED_TEST(WTF_Int128FloatTraitsTest, ConstructAssignTest)
{
static_assert(std::is_constructible<WTF::Int128Impl, TypeParam>::value,
"WTF::Int128Impl must be constructible from TypeParam");
static_assert(!std::is_assignable<WTF::Int128Impl&, TypeParam>::value,
"WTF::Int128Impl must not be assignable from TypeParam");
static_assert(!std::is_assignable<TypeParam&, WTF::Int128Impl>::value,
"TypeParam must not be assignable from WTF::Int128Impl");
}
TEST(WTF_Int128, TrivialTraitsTest)
{
static_assert(std::is_trivially_default_constructible<WTF::Int128Impl>::value);
static_assert(std::is_trivially_copy_constructible<WTF::Int128Impl>::value);
static_assert(std::is_trivially_copy_assignable<WTF::Int128Impl>::value);
static_assert(std::is_trivially_destructible<WTF::Int128Impl>::value);
}
TEST(WTF_Int128, BoolConversionTest)
{
EXPECT_FALSE(WTF::Int128Impl(0));
for (int i = 0; i < 64; ++i) {
EXPECT_TRUE(WTF::MakeInt128(0, uint64_t { 1 } << i));
}
for (int i = 0; i < 63; ++i) {
EXPECT_TRUE(WTF::MakeInt128(int64_t { 1 } << i, 0));
}
EXPECT_TRUE(WTF::Int128Min());
EXPECT_EQ(WTF::Int128Impl(1), WTF::Int128Impl(true));
EXPECT_EQ(WTF::Int128Impl(0), WTF::Int128Impl(false));
}
template <typename T>
class WTF_Int128IntegerConversionTest : public ::testing::Test {
};
TYPED_TEST_SUITE(WTF_Int128IntegerConversionTest, IntegerTypes);
TYPED_TEST(WTF_Int128IntegerConversionTest, RoundTripTest)
{
EXPECT_EQ(TypeParam { 0 }, static_cast<TypeParam>(WTF::Int128Impl(0)));
EXPECT_EQ(std::numeric_limits<TypeParam>::min(),
static_cast<TypeParam>(
WTF::Int128Impl(std::numeric_limits<TypeParam>::min())));
EXPECT_EQ(std::numeric_limits<TypeParam>::max(),
static_cast<TypeParam>(
WTF::Int128Impl(std::numeric_limits<TypeParam>::max())));
}
template <typename T>
class WTF_Int128FloatConversionTest : public ::testing::Test {
};
TYPED_TEST_SUITE(WTF_Int128FloatConversionTest, FloatingPointTypes);
TYPED_TEST(WTF_Int128FloatConversionTest, ConstructAndCastTest)
{
// Conversions where the floating point values should be exactly the same.
// 0x9f5b is a randomly chosen small value.
for (int i = 0; i < 110; ++i) { // 110 = 126 - #bits in 0x9f5b
SCOPED_TRACE(::testing::Message() << "i = " << i);
TypeParam float_value = std::ldexp(static_cast<TypeParam>(0x9f5b), i);
WTF::Int128Impl int_value = WTF::Int128Impl(0x9f5b) << i;
EXPECT_EQ(float_value, static_cast<TypeParam>(int_value));
EXPECT_EQ(-float_value, static_cast<TypeParam>(-int_value));
EXPECT_EQ(int_value, WTF::Int128Impl(float_value));
EXPECT_EQ(-int_value, WTF::Int128Impl(-float_value));
}
// Round trip conversions with a small sample of randomly generated uint64_t
// values (less than int64_t max so that value * 2^64 fits into int128).
uint64_t values[] = { 0x6d4492c24fb86199, 0x26ead65e4cb359b5,
0x2c43407433ba3fd1, 0x3b574ec668df6b55,
0x1c750e55a29f4f0f };
for (uint64_t value : values) {
for (int i = 0; i <= 64; ++i) {
SCOPED_TRACE(::testing::Message()
<< "value = " << value << "; i = " << i);
TypeParam fvalue = std::ldexp(static_cast<TypeParam>(value), i);
EXPECT_DOUBLE_EQ(fvalue, static_cast<TypeParam>(WTF::Int128Impl(fvalue)));
EXPECT_DOUBLE_EQ(-fvalue, static_cast<TypeParam>(-WTF::Int128Impl(fvalue)));
EXPECT_DOUBLE_EQ(-fvalue, static_cast<TypeParam>(WTF::Int128Impl(-fvalue)));
EXPECT_DOUBLE_EQ(fvalue, static_cast<TypeParam>(-WTF::Int128Impl(-fvalue)));
}
}
// Round trip conversions with a small sample of random large positive values.
WTF::Int128Impl large_values[] = {
WTF::MakeInt128(0x5b0640d96c7b3d9f, 0xb7a7189e51d18622),
WTF::MakeInt128(0x34bed042c6f65270, 0x73b236570669a089),
WTF::MakeInt128(0x43deba9e6da12724, 0xf7f0f83da686797d),
WTF::MakeInt128(0x71e8d383be4e5589, 0x75c3f96fb00752b6)
};
for (WTF::Int128Impl value : large_values) {
// Make value have as many significant bits as can be represented by
// the mantissa, also making sure the highest and lowest bit in the range
// are set.
value >>= (127 - std::numeric_limits<TypeParam>::digits);
value |= WTF::Int128Impl(1) << (std::numeric_limits<TypeParam>::digits - 1);
value |= 1;
for (int i = 0; i < 127 - std::numeric_limits<TypeParam>::digits; ++i) {
WTF::Int128Impl int_value = value << i;
EXPECT_EQ(int_value,
static_cast<WTF::Int128Impl>(static_cast<TypeParam>(int_value)));
EXPECT_EQ(-int_value,
static_cast<WTF::Int128Impl>(static_cast<TypeParam>(-int_value)));
}
}
// Small sample of checks that rounding is toward zero
EXPECT_EQ(0, WTF::Int128Impl(TypeParam(0.1)));
EXPECT_EQ(17, WTF::Int128Impl(TypeParam(17.8)));
EXPECT_EQ(0, WTF::Int128Impl(TypeParam(-0.8)));
EXPECT_EQ(-53, WTF::Int128Impl(TypeParam(-53.1)));
EXPECT_EQ(0, WTF::Int128Impl(TypeParam(0.5)));
EXPECT_EQ(0, WTF::Int128Impl(TypeParam(-0.5)));
TypeParam just_lt_one = std::nexttoward(TypeParam(1), TypeParam(0));
EXPECT_EQ(0, WTF::Int128Impl(just_lt_one));
TypeParam just_gt_minus_one = std::nexttoward(TypeParam(-1), TypeParam(0));
EXPECT_EQ(0, WTF::Int128Impl(just_gt_minus_one));
// Check limits
EXPECT_DOUBLE_EQ(std::ldexp(static_cast<TypeParam>(1), 127),
static_cast<TypeParam>(WTF::Int128Max()));
EXPECT_DOUBLE_EQ(-std::ldexp(static_cast<TypeParam>(1), 127),
static_cast<TypeParam>(WTF::Int128Min()));
}
TEST(WTF_Int128, FactoryTest)
{
EXPECT_EQ(WTF::Int128Impl(-1), WTF::MakeInt128(-1, -1));
EXPECT_EQ(WTF::Int128Impl(-31), WTF::MakeInt128(-1, -31));
EXPECT_EQ(WTF::Int128Impl(std::numeric_limits<int64_t>::min()),
WTF::MakeInt128(-1, std::numeric_limits<int64_t>::min()));
EXPECT_EQ(WTF::Int128Impl(0), WTF::MakeInt128(0, 0));
EXPECT_EQ(WTF::Int128Impl(1), WTF::MakeInt128(0, 1));
EXPECT_EQ(WTF::Int128Impl(std::numeric_limits<int64_t>::max()),
WTF::MakeInt128(0, std::numeric_limits<int64_t>::max()));
}
TEST(WTF_Int128, HighLowTest)
{
struct HighLowPair {
int64_t high;
uint64_t low;
};
HighLowPair values[] { { 0, 0 }, { 0, 1 }, { 1, 0 }, { 123, 456 }, { -654, 321 } };
for (const HighLowPair& pair : values) {
WTF::Int128Impl value = WTF::MakeInt128(pair.high, pair.low);
EXPECT_EQ(pair.low, WTF::Int128Low64(value));
EXPECT_EQ(pair.high, WTF::Int128High64(value));
}
}
TEST(WTF_Int128, LimitsTest)
{
EXPECT_EQ(WTF::MakeInt128(0x7fffffffffffffff, 0xffffffffffffffff),
WTF::Int128Max());
EXPECT_EQ(WTF::Int128Max(), ~WTF::Int128Min());
}
TEST(WTF_Int128, ConstexprTest)
{
constexpr WTF::Int128Impl zero = WTF::Int128Impl();
constexpr WTF::Int128Impl one = 1;
constexpr WTF::Int128Impl minus_two = -2;
constexpr WTF::Int128Impl min = WTF::Int128Min();
constexpr WTF::Int128Impl max = WTF::Int128Max();
EXPECT_EQ(zero, WTF::Int128Impl(0));
EXPECT_EQ(one, WTF::Int128Impl(1));
EXPECT_EQ(minus_two, WTF::MakeInt128(-1, -2));
EXPECT_GT(max, one);
EXPECT_LT(min, minus_two);
}
TEST(WTF_Int128, ComparisonTest)
{
struct TestCase {
WTF::Int128Impl smaller;
WTF::Int128Impl larger;
};
TestCase cases[] = {
{ WTF::Int128Impl(0), WTF::Int128Impl(123) },
{ WTF::MakeInt128(-12, 34), WTF::MakeInt128(12, 34) },
{ WTF::MakeInt128(1, 1000), WTF::MakeInt128(1000, 1) },
{ WTF::MakeInt128(-1000, 1000), WTF::MakeInt128(-1, 1) },
};
for (const TestCase& pair : cases) {
SCOPED_TRACE(::testing::Message() << "pair.smaller = " << pair.smaller
<< "; pair.larger = " << pair.larger);
EXPECT_TRUE(pair.smaller == pair.smaller); // NOLINT(readability/check)
EXPECT_TRUE(pair.larger == pair.larger); // NOLINT(readability/check)
EXPECT_FALSE(pair.smaller == pair.larger); // NOLINT(readability/check)
EXPECT_TRUE(pair.smaller != pair.larger); // NOLINT(readability/check)
EXPECT_FALSE(pair.smaller != pair.smaller); // NOLINT(readability/check)
EXPECT_FALSE(pair.larger != pair.larger); // NOLINT(readability/check)
EXPECT_TRUE(pair.smaller < pair.larger); // NOLINT(readability/check)
EXPECT_FALSE(pair.larger < pair.smaller); // NOLINT(readability/check)
EXPECT_TRUE(pair.larger > pair.smaller); // NOLINT(readability/check)
EXPECT_FALSE(pair.smaller > pair.larger); // NOLINT(readability/check)
EXPECT_TRUE(pair.smaller <= pair.larger); // NOLINT(readability/check)
EXPECT_FALSE(pair.larger <= pair.smaller); // NOLINT(readability/check)
EXPECT_TRUE(pair.smaller <= pair.smaller); // NOLINT(readability/check)
EXPECT_TRUE(pair.larger <= pair.larger); // NOLINT(readability/check)
EXPECT_TRUE(pair.larger >= pair.smaller); // NOLINT(readability/check)
EXPECT_FALSE(pair.smaller >= pair.larger); // NOLINT(readability/check)
EXPECT_TRUE(pair.smaller >= pair.smaller); // NOLINT(readability/check)
EXPECT_TRUE(pair.larger >= pair.larger); // NOLINT(readability/check)
}
}
TEST(WTF_Int128, UnaryPlusTest)
{
int64_t values64[] = { 0, 1, 12345, 0x4000000000000000,
std::numeric_limits<int64_t>::max() };
for (int64_t value : values64) {
SCOPED_TRACE(::testing::Message() << "value = " << value);
EXPECT_EQ(WTF::Int128Impl(value), +WTF::Int128Impl(value));
EXPECT_EQ(WTF::Int128Impl(-value), +WTF::Int128Impl(-value));
EXPECT_EQ(WTF::MakeInt128(value, 0), +WTF::MakeInt128(value, 0));
EXPECT_EQ(WTF::MakeInt128(-value, 0), +WTF::MakeInt128(-value, 0));
}
}
TEST(WTF_Int128, UnaryNegationTest)
{
int64_t values64[] = { 0, 1, 12345, 0x4000000000000000,
std::numeric_limits<int64_t>::max() };
for (int64_t value : values64) {
SCOPED_TRACE(::testing::Message() << "value = " << value);
EXPECT_EQ(WTF::Int128Impl(-value), -WTF::Int128Impl(value));
EXPECT_EQ(WTF::Int128Impl(value), -WTF::Int128Impl(-value));
EXPECT_EQ(WTF::MakeInt128(-value, 0), -WTF::MakeInt128(value, 0));
EXPECT_EQ(WTF::MakeInt128(value, 0), -WTF::MakeInt128(-value, 0));
}
}
TEST(WTF_Int128, LogicalNotTest)
{
EXPECT_TRUE(!WTF::Int128Impl(0));
for (int i = 0; i < 64; ++i) {
EXPECT_FALSE(!WTF::MakeInt128(0, uint64_t { 1 } << i));
}
for (int i = 0; i < 63; ++i) {
EXPECT_FALSE(!WTF::MakeInt128(int64_t { 1 } << i, 0));
}
}
TEST(WTF_Int128, AdditionSubtractionTest)
{
// 64 bit pairs that will not cause overflow / underflow. These test negative
// carry; positive carry must be checked separately.
std::pair<int64_t, int64_t> cases[] {
{ 0, 0 }, // 0, 0
{ 0, 2945781290834 }, // 0, +
{ 1908357619234, 0 }, // +, 0
{ 0, -1204895918245 }, // 0, -
{ -2957928523560, 0 }, // -, 0
{ 89023982312461, 98346012567134 }, // +, +
{ -63454234568239, -23456235230773 }, // -, -
{ 98263457263502, -21428561935925 }, // +, -
{ -88235237438467, 15923659234573 }, // -, +
};
for (const auto& pair : cases) {
SCOPED_TRACE(::testing::Message()
<< "pair = {" << pair.first << ", " << pair.second << '}');
EXPECT_EQ(WTF::Int128Impl(pair.first + pair.second),
WTF::Int128Impl(pair.first) + WTF::Int128Impl(pair.second));
EXPECT_EQ(WTF::Int128Impl(pair.second + pair.first),
WTF::Int128Impl(pair.second) += WTF::Int128Impl(pair.first));
EXPECT_EQ(WTF::Int128Impl(pair.first - pair.second),
WTF::Int128Impl(pair.first) - WTF::Int128Impl(pair.second));
EXPECT_EQ(WTF::Int128Impl(pair.second - pair.first),
WTF::Int128Impl(pair.second) -= WTF::Int128Impl(pair.first));
EXPECT_EQ(
WTF::MakeInt128(pair.second + pair.first, 0),
WTF::MakeInt128(pair.second, 0) + WTF::MakeInt128(pair.first, 0));
EXPECT_EQ(
WTF::MakeInt128(pair.first + pair.second, 0),
WTF::MakeInt128(pair.first, 0) += WTF::MakeInt128(pair.second, 0));
EXPECT_EQ(
WTF::MakeInt128(pair.second - pair.first, 0),
WTF::MakeInt128(pair.second, 0) - WTF::MakeInt128(pair.first, 0));
EXPECT_EQ(
WTF::MakeInt128(pair.first - pair.second, 0),
WTF::MakeInt128(pair.first, 0) -= WTF::MakeInt128(pair.second, 0));
}
// check positive carry
EXPECT_EQ(WTF::MakeInt128(31, 0),
WTF::MakeInt128(20, 1) + WTF::MakeInt128(10, std::numeric_limits<uint64_t>::max()));
}
TEST(WTF_Int128, IncrementDecrementTest)
{
WTF::Int128Impl value = 0;
EXPECT_EQ(0, value++);
EXPECT_EQ(1, value);
EXPECT_EQ(1, value--);
EXPECT_EQ(0, value);
EXPECT_EQ(-1, --value);
EXPECT_EQ(-1, value);
EXPECT_EQ(0, ++value);
EXPECT_EQ(0, value);
}
TEST(WTF_Int128, MultiplicationTest)
{
// 1 bit x 1 bit, and negative combinations
for (int i = 0; i < 64; ++i) {
for (int j = 0; j < 127 - i; ++j) {
SCOPED_TRACE(::testing::Message() << "i = " << i << "; j = " << j);
WTF::Int128Impl a = WTF::Int128Impl(1) << i;
WTF::Int128Impl b = WTF::Int128Impl(1) << j;
WTF::Int128Impl c = WTF::Int128Impl(1) << (i + j);
EXPECT_EQ(c, a * b);
EXPECT_EQ(-c, -a * b);
EXPECT_EQ(-c, a * -b);
EXPECT_EQ(c, -a * -b);
EXPECT_EQ(c, WTF::Int128Impl(a) *= b);
EXPECT_EQ(-c, WTF::Int128Impl(-a) *= b);
EXPECT_EQ(-c, WTF::Int128Impl(a) *= -b);
EXPECT_EQ(c, WTF::Int128Impl(-a) *= -b);
}
}
// Pairs of random values that will not overflow signed 64-bit multiplication
std::pair<int64_t, int64_t> small_values[] = {
{ 0x5e61, 0xf29f79ca14b4 }, // +, +
{ 0x3e033b, -0x612c0ee549 }, // +, -
{ -0x052ce7e8, 0x7c728f0f }, // -, +
{ -0x3af7054626, -0xfb1e1d }, // -, -
};
for (const std::pair<int64_t, int64_t>& pair : small_values) {
SCOPED_TRACE(::testing::Message()
<< "pair = {" << pair.first << ", " << pair.second << '}');
EXPECT_EQ(WTF::Int128Impl(pair.first * pair.second),
WTF::Int128Impl(pair.first) * WTF::Int128Impl(pair.second));
EXPECT_EQ(WTF::Int128Impl(pair.first * pair.second),
WTF::Int128Impl(pair.first) *= WTF::Int128Impl(pair.second));
EXPECT_EQ(WTF::MakeInt128(pair.first * pair.second, 0),
WTF::MakeInt128(pair.first, 0) * WTF::Int128Impl(pair.second));
EXPECT_EQ(WTF::MakeInt128(pair.first * pair.second, 0),
WTF::MakeInt128(pair.first, 0) *= WTF::Int128Impl(pair.second));
}
// Pairs of positive random values that will not overflow 64-bit
// multiplication and can be left shifted by 32 without overflow
std::pair<int64_t, int64_t> small_values2[] = {
{ 0x1bb0a110, 0x31487671 },
{ 0x4792784e, 0x28add7d7 },
{ 0x7b66553a, 0x11dff8ef },
};
for (const std::pair<int64_t, int64_t>& pair : small_values2) {
SCOPED_TRACE(::testing::Message()
<< "pair = {" << pair.first << ", " << pair.second << '}');
WTF::Int128Impl a = WTF::Int128Impl(pair.first << 32);
WTF::Int128Impl b = WTF::Int128Impl(pair.second << 32);
WTF::Int128Impl c = WTF::MakeInt128(pair.first * pair.second, 0);
EXPECT_EQ(c, a * b);
EXPECT_EQ(-c, -a * b);
EXPECT_EQ(-c, a * -b);
EXPECT_EQ(c, -a * -b);
EXPECT_EQ(c, WTF::Int128Impl(a) *= b);
EXPECT_EQ(-c, WTF::Int128Impl(-a) *= b);
EXPECT_EQ(-c, WTF::Int128Impl(a) *= -b);
EXPECT_EQ(c, WTF::Int128Impl(-a) *= -b);
}
// check 0, 1, and -1 behavior with large values
WTF::Int128Impl large_values[] = {
{ WTF::MakeInt128(0xd66f061af02d0408, 0x727d2846cb475b53) },
{ WTF::MakeInt128(0x27b8d5ed6104452d, 0x03f8a33b0ee1df4f) },
{ -WTF::MakeInt128(0x621b6626b9e8d042, 0x27311ac99df00938) },
{ -WTF::MakeInt128(0x34e0656f1e95fb60, 0x4281cfd731257a47) },
};
for (WTF::Int128Impl value : large_values) {
EXPECT_EQ(0, 0 * value);
EXPECT_EQ(0, value * 0);
EXPECT_EQ(0, WTF::Int128Impl(0) *= value);
EXPECT_EQ(0, value *= 0);
EXPECT_EQ(value, 1 * value);
EXPECT_EQ(value, value * 1);
EXPECT_EQ(value, WTF::Int128Impl(1) *= value);
EXPECT_EQ(value, value *= 1);
EXPECT_EQ(-value, -1 * value);
EXPECT_EQ(-value, value * -1);
EXPECT_EQ(-value, WTF::Int128Impl(-1) *= value);
EXPECT_EQ(-value, value *= -1);
}
// Manually calculated random large value cases
EXPECT_EQ(WTF::MakeInt128(0xcd0efd3442219bb, 0xde47c05bcd9df6e1),
WTF::MakeInt128(0x7c6448, 0x3bc4285c47a9d253) * 0x1a6037537b);
EXPECT_EQ(-WTF::MakeInt128(0x1f8f149850b1e5e6, 0x1e50d6b52d272c3e),
-WTF::MakeInt128(0x23, 0x2e68a513ca1b8859) * 0xe5a434cd14866e);
EXPECT_EQ(-WTF::MakeInt128(0x55cae732029d1fce, 0xca6474b6423263e4),
0xa9b98a8ddf66bc * -WTF::MakeInt128(0x81, 0x672e58231e2469d7));
EXPECT_EQ(WTF::MakeInt128(0x19c8b7620b507dc4, 0xfec042b71a5f29a4),
-0x3e39341147 * -WTF::MakeInt128(0x6a14b2, 0x5ed34cca42327b3c));
EXPECT_EQ(WTF::MakeInt128(0xcd0efd3442219bb, 0xde47c05bcd9df6e1),
WTF::MakeInt128(0x7c6448, 0x3bc4285c47a9d253) *= 0x1a6037537b);
EXPECT_EQ(-WTF::MakeInt128(0x1f8f149850b1e5e6, 0x1e50d6b52d272c3e),
-WTF::MakeInt128(0x23, 0x2e68a513ca1b8859) *= 0xe5a434cd14866e);
EXPECT_EQ(-WTF::MakeInt128(0x55cae732029d1fce, 0xca6474b6423263e4),
WTF::Int128Impl(0xa9b98a8ddf66bc) *= -WTF::MakeInt128(0x81, 0x672e58231e2469d7));
EXPECT_EQ(WTF::MakeInt128(0x19c8b7620b507dc4, 0xfec042b71a5f29a4),
WTF::Int128Impl(-0x3e39341147) *= -WTF::MakeInt128(0x6a14b2, 0x5ed34cca42327b3c));
}
TEST(WTF_Int128, DivisionAndModuloTest)
{
// Check against 64 bit division and modulo operators with a sample of
// randomly generated pairs.
std::pair<int64_t, int64_t> small_pairs[] = {
{ 0x15f2a64138, 0x67da05 },
{ 0x5e56d194af43045f, 0xcf1543fb99 },
{ 0x15e61ed052036a, -0xc8e6 },
{ 0x88125a341e85, -0xd23fb77683 },
{ -0xc06e20, 0x5a },
{ -0x4f100219aea3e85d, 0xdcc56cb4efe993 },
{ -0x168d629105, -0xa7 },
{ -0x7b44e92f03ab2375, -0x6516 },
};
for (const std::pair<int64_t, int64_t>& pair : small_pairs) {
SCOPED_TRACE(::testing::Message()
<< "pair = {" << pair.first << ", " << pair.second << '}');
WTF::Int128Impl dividend = pair.first;
WTF::Int128Impl divisor = pair.second;
int64_t quotient = pair.first / pair.second;
int64_t remainder = pair.first % pair.second;
EXPECT_EQ(quotient, dividend / divisor);
EXPECT_EQ(quotient, WTF::Int128Impl(dividend) /= divisor);
EXPECT_EQ(remainder, dividend % divisor);
EXPECT_EQ(remainder, WTF::Int128Impl(dividend) %= divisor);
}
// Test behavior with 0, 1, and -1 with a sample of randomly generated large
// values.
WTF::Int128Impl values[] = {
WTF::MakeInt128(0x63d26ee688a962b2, 0x9e1411abda5c1d70),
WTF::MakeInt128(0x152f385159d6f986, 0xbf8d48ef63da395d),
-WTF::MakeInt128(0x3098d7567030038c, 0x14e7a8a098dc2164),
-WTF::MakeInt128(0x49a037aca35c809f, 0xa6a87525480ef330),
};
for (WTF::Int128Impl value : values) {
SCOPED_TRACE(::testing::Message() << "value = " << value);
EXPECT_EQ(0, 0 / value);
EXPECT_EQ(0, WTF::Int128Impl(0) /= value);
EXPECT_EQ(0, 0 % value);
EXPECT_EQ(0, WTF::Int128Impl(0) %= value);
EXPECT_EQ(value, value / 1);
EXPECT_EQ(value, WTF::Int128Impl(value) /= 1);
EXPECT_EQ(0, value % 1);
EXPECT_EQ(0, WTF::Int128Impl(value) %= 1);
EXPECT_EQ(-value, value / -1);
EXPECT_EQ(-value, WTF::Int128Impl(value) /= -1);
EXPECT_EQ(0, value % -1);
EXPECT_EQ(0, WTF::Int128Impl(value) %= -1);
}
// Min and max values
EXPECT_EQ(0, WTF::Int128Max() / WTF::Int128Min());
EXPECT_EQ(WTF::Int128Max(), WTF::Int128Max() % WTF::Int128Min());
EXPECT_EQ(-1, WTF::Int128Min() / WTF::Int128Max());
EXPECT_EQ(-1, WTF::Int128Min() % WTF::Int128Max());
// Power of two division and modulo of random large dividends
WTF::Int128Impl positive_values[] = {
WTF::MakeInt128(0x21e1a1cc69574620, 0xe7ac447fab2fc869),
WTF::MakeInt128(0x32c2ff3ab89e66e8, 0x03379a613fd1ce74),
WTF::MakeInt128(0x6f32ca786184dcaf, 0x046f9c9ecb3a9ce1),
WTF::MakeInt128(0x1aeb469dd990e0ee, 0xda2740f243cd37eb),
};
for (WTF::Int128Impl value : positive_values) {
for (int i = 0; i < 127; ++i) {
SCOPED_TRACE(::testing::Message()
<< "value = " << value << "; i = " << i);
WTF::Int128Impl power_of_two = WTF::Int128Impl(1) << i;
EXPECT_EQ(value >> i, value / power_of_two);
EXPECT_EQ(value >> i, WTF::Int128Impl(value) /= power_of_two);
EXPECT_EQ(value & (power_of_two - 1), value % power_of_two);
EXPECT_EQ(value & (power_of_two - 1),
WTF::Int128Impl(value) %= power_of_two);
}
}
// Manually calculated cases with random large dividends
struct DivisionModCase {
WTF::Int128Impl dividend;
WTF::Int128Impl divisor;
WTF::Int128Impl quotient;
WTF::Int128Impl remainder;
};
DivisionModCase manual_cases[] = {
{ WTF::MakeInt128(0x6ada48d489007966, 0x3c9c5c98150d5d69),
WTF::MakeInt128(0x8bc308fb, 0x8cb9cc9a3b803344), 0xc3b87e08,
WTF::MakeInt128(0x1b7db5e1, 0xd9eca34b7af04b49) },
{ WTF::MakeInt128(0xd6946511b5b, 0x4886c5c96546bf5f),
-WTF::MakeInt128(0x263b, 0xfd516279efcfe2dc), -0x59cbabf0,
WTF::MakeInt128(0x622, 0xf462909155651d1f) },
{ -WTF::MakeInt128(0x33db734f9e8d1399, 0x8447ac92482bca4d), 0x37495078240,
-WTF::MakeInt128(0xf01f1, 0xbc0368bf9a77eae8), -0x21a508f404d },
{ -WTF::MakeInt128(0x13f837b409a07e7d, 0x7fc8e248a7d73560), -0x1b9f,
WTF::MakeInt128(0xb9157556d724, 0xb14f635714d7563e), -0x1ade },
};
for (const DivisionModCase test_case : manual_cases) {
EXPECT_EQ(test_case.quotient, test_case.dividend / test_case.divisor);
EXPECT_EQ(test_case.quotient,
WTF::Int128Impl(test_case.dividend) /= test_case.divisor);
EXPECT_EQ(test_case.remainder, test_case.dividend % test_case.divisor);
EXPECT_EQ(test_case.remainder,
WTF::Int128Impl(test_case.dividend) %= test_case.divisor);
}
}
TEST(WTF_Int128, BitwiseLogicTest)
{
EXPECT_EQ(WTF::Int128Impl(-1), ~WTF::Int128Impl(0));
WTF::Int128Impl values[] {
0, -1, 0xde400bee05c3ff6b, WTF::MakeInt128(0x7f32178dd81d634a, 0),
WTF::MakeInt128(0xaf539057055613a9, 0x7d104d7d946c2e4d)
};
for (WTF::Int128Impl value : values) {
EXPECT_EQ(value, ~~value);
EXPECT_EQ(value, value | value);
EXPECT_EQ(value, value & value);
EXPECT_EQ(0, value ^ value);
EXPECT_EQ(value, WTF::Int128Impl(value) |= value);
EXPECT_EQ(value, WTF::Int128Impl(value) &= value);
EXPECT_EQ(0, WTF::Int128Impl(value) ^= value);
EXPECT_EQ(value, value | 0);
EXPECT_EQ(0, value & 0);
EXPECT_EQ(value, value ^ 0);
EXPECT_EQ(WTF::Int128Impl(-1), value | WTF::Int128Impl(-1));
EXPECT_EQ(value, value & WTF::Int128Impl(-1));
EXPECT_EQ(~value, value ^ WTF::Int128Impl(-1));
}
// small sample of randomly generated int64_t's
std::pair<int64_t, int64_t> pairs64[] {
{ 0x7f86797f5e991af4, 0x1ee30494fb007c97 },
{ 0x0b278282bacf01af, 0x58780e0a57a49e86 },
{ 0x059f266ccb93a666, 0x3d5b731bae9286f5 },
{ 0x63c0c4820f12108c, 0x58166713c12e1c3a },
{ 0x381488bb2ed2a66e, 0x2220a3eb76a3698c },
{ 0x2a0a0dfb81e06f21, 0x4b60585927f5523c },
{ 0x555b1c3a03698537, 0x25478cd19d8e53cb },
{ 0x4750f6f27d779225, 0x16397553c6ff05fc },
};
for (const std::pair<int64_t, int64_t>& pair : pairs64) {
SCOPED_TRACE(::testing::Message()
<< "pair = {" << pair.first << ", " << pair.second << '}');
EXPECT_EQ(WTF::MakeInt128(~pair.first, ~pair.second),
~WTF::MakeInt128(pair.first, pair.second));
EXPECT_EQ(WTF::Int128Impl(pair.first & pair.second),
WTF::Int128Impl(pair.first) & WTF::Int128Impl(pair.second));
EXPECT_EQ(WTF::Int128Impl(pair.first | pair.second),
WTF::Int128Impl(pair.first) | WTF::Int128Impl(pair.second));
EXPECT_EQ(WTF::Int128Impl(pair.first ^ pair.second),
WTF::Int128Impl(pair.first) ^ WTF::Int128Impl(pair.second));
EXPECT_EQ(WTF::Int128Impl(pair.first & pair.second),
WTF::Int128Impl(pair.first) &= WTF::Int128Impl(pair.second));
EXPECT_EQ(WTF::Int128Impl(pair.first | pair.second),
WTF::Int128Impl(pair.first) |= WTF::Int128Impl(pair.second));
EXPECT_EQ(WTF::Int128Impl(pair.first ^ pair.second),
WTF::Int128Impl(pair.first) ^= WTF::Int128Impl(pair.second));
EXPECT_EQ(
WTF::MakeInt128(pair.first & pair.second, 0),
WTF::MakeInt128(pair.first, 0) & WTF::MakeInt128(pair.second, 0));
EXPECT_EQ(
WTF::MakeInt128(pair.first | pair.second, 0),
WTF::MakeInt128(pair.first, 0) | WTF::MakeInt128(pair.second, 0));
EXPECT_EQ(
WTF::MakeInt128(pair.first ^ pair.second, 0),
WTF::MakeInt128(pair.first, 0) ^ WTF::MakeInt128(pair.second, 0));
EXPECT_EQ(
WTF::MakeInt128(pair.first & pair.second, 0),
WTF::MakeInt128(pair.first, 0) &= WTF::MakeInt128(pair.second, 0));
EXPECT_EQ(
WTF::MakeInt128(pair.first | pair.second, 0),
WTF::MakeInt128(pair.first, 0) |= WTF::MakeInt128(pair.second, 0));
EXPECT_EQ(
WTF::MakeInt128(pair.first ^ pair.second, 0),
WTF::MakeInt128(pair.first, 0) ^= WTF::MakeInt128(pair.second, 0));
}
}
TEST(WTF_Int128, BitwiseShiftTest)
{
for (int i = 0; i < 64; ++i) {
for (int j = 0; j <= i; ++j) {
// Left shift from j-th bit to i-th bit.
SCOPED_TRACE(::testing::Message() << "i = " << i << "; j = " << j);
EXPECT_EQ(uint64_t { 1 } << i, WTF::Int128Impl(uint64_t { 1 } << j) << (i - j));
EXPECT_EQ(uint64_t { 1 } << i, WTF::Int128Impl(uint64_t { 1 } << j) <<= (i - j));
}
}
for (int i = 0; i < 63; ++i) {
for (int j = 0; j < 64; ++j) {
// Left shift from j-th bit to (i + 64)-th bit.
SCOPED_TRACE(::testing::Message() << "i = " << i << "; j = " << j);
EXPECT_EQ(WTF::MakeInt128(uint64_t { 1 } << i, 0),
WTF::Int128Impl(uint64_t { 1 } << j) << (i + 64 - j));
EXPECT_EQ(WTF::MakeInt128(uint64_t { 1 } << i, 0),
WTF::Int128Impl(uint64_t { 1 } << j) <<= (i + 64 - j));
}
for (int j = 0; j <= i; ++j) {
// Left shift from (j + 64)-th bit to (i + 64)-th bit.
SCOPED_TRACE(::testing::Message() << "i = " << i << "; j = " << j);
EXPECT_EQ(WTF::MakeInt128(uint64_t { 1 } << i, 0),
WTF::MakeInt128(uint64_t { 1 } << j, 0) << (i - j));
EXPECT_EQ(WTF::MakeInt128(uint64_t { 1 } << i, 0),
WTF::MakeInt128(uint64_t { 1 } << j, 0) <<= (i - j));
}
}
for (int i = 0; i < 64; ++i) {
for (int j = i; j < 64; ++j) {
// Right shift from j-th bit to i-th bit.
SCOPED_TRACE(::testing::Message() << "i = " << i << "; j = " << j);
EXPECT_EQ(uint64_t { 1 } << i, WTF::Int128Impl(uint64_t { 1 } << j) >> (j - i));
EXPECT_EQ(uint64_t { 1 } << i, WTF::Int128Impl(uint64_t { 1 } << j) >>= (j - i));
}
for (int j = 0; j < 63; ++j) {
// Right shift from (j + 64)-th bit to i-th bit.
SCOPED_TRACE(::testing::Message() << "i = " << i << "; j = " << j);
EXPECT_EQ(uint64_t { 1 } << i,
WTF::MakeInt128(uint64_t { 1 } << j, 0) >> (j + 64 - i));
EXPECT_EQ(uint64_t { 1 } << i,
WTF::MakeInt128(uint64_t { 1 } << j, 0) >>= (j + 64 - i));
}
}
for (int i = 0; i < 63; ++i) {
for (int j = i; j < 63; ++j) {
// Right shift from (j + 64)-th bit to (i + 64)-th bit.
SCOPED_TRACE(::testing::Message() << "i = " << i << "; j = " << j);
EXPECT_EQ(WTF::MakeInt128(uint64_t { 1 } << i, 0),
WTF::MakeInt128(uint64_t { 1 } << j, 0) >> (j - i));
EXPECT_EQ(WTF::MakeInt128(uint64_t { 1 } << i, 0),
WTF::MakeInt128(uint64_t { 1 } << j, 0) >>= (j - i));
}
}
}
TEST(WTF_Int128, NumericLimitsTest)
{
static_assert(std::numeric_limits<WTF::Int128Impl>::is_specialized);
static_assert(std::numeric_limits<WTF::Int128Impl>::is_signed);
static_assert(std::numeric_limits<WTF::Int128Impl>::is_integer);
EXPECT_EQ(static_cast<int>(127 * std::log10(2)),
std::numeric_limits<WTF::Int128Impl>::digits10);
EXPECT_EQ(WTF::Int128Min(), std::numeric_limits<WTF::Int128Impl>::min());
EXPECT_EQ(WTF::Int128Min(), std::numeric_limits<WTF::Int128Impl>::lowest());
EXPECT_EQ(WTF::Int128Max(), std::numeric_limits<WTF::Int128Impl>::max());
}
#if HAVE(INT128_T)
static __uint128_t ToNativeUInt128(WTF::UInt128Impl n)
{
return static_cast<__uint128_t>(static_cast<std::uint64_t>(n >> 64)) << 64 |
static_cast<std::uint64_t>(n);
}
static WTF::UInt128Impl FromNativeUInt128(__uint128_t n)
{
return WTF::UInt128Impl { static_cast<std::uint64_t>(n >> 64)} << 64 | WTF::UInt128Impl { static_cast<std::uint64_t>(n) };
}
static __int128_t ToNativeInt128(WTF::Int128Impl n)
{
return static_cast<__int128_t>(ToNativeUInt128(static_cast<WTF::UInt128Impl>(n)));
}
static WTF::Int128Impl FromNativeInt128(__int128_t n)
{
return static_cast<WTF::Int128Impl>(FromNativeUInt128(static_cast<__uint128_t>(n)));
}
static void TestBinaryUInt128(std::uint64_t x, std::uint64_t y)
{
WTF::UInt128Impl m { x }, n { y };
EXPECT_EQ(x, static_cast<std::uint64_t>(m));
EXPECT_EQ(y, static_cast<std::uint64_t>(n));
EXPECT_EQ(x & y, static_cast<std::uint64_t>(m & n));
EXPECT_EQ(x | y, static_cast<std::uint64_t>(m | n));
EXPECT_EQ(x ^ y, static_cast<std::uint64_t>(m ^ n));
EXPECT_EQ(x + y, static_cast<std::uint64_t>(m + n));
EXPECT_EQ(x - y, static_cast<std::uint64_t>(m - n));
EXPECT_EQ(x * y, static_cast<std::uint64_t>(m * n));
if (n)
EXPECT_EQ(x / y, static_cast<std::uint64_t>(m / n));
}
static void TestBinaryInt128(std::int64_t x, std::int64_t y)
{
WTF::Int128Impl m { x }, n { y };
EXPECT_EQ(x, static_cast<std::int64_t>(m));
EXPECT_EQ(y, static_cast<std::int64_t>(n));
EXPECT_EQ(x & y, static_cast<std::int64_t>(m & n));
EXPECT_EQ(x | y, static_cast<std::int64_t>(m | n));
EXPECT_EQ(x ^ y, static_cast<std::int64_t>(m ^ n));
EXPECT_EQ(x + y, static_cast<std::int64_t>(m + n));
EXPECT_EQ(x - y, static_cast<std::int64_t>(m - n));
EXPECT_EQ(x * y, static_cast<std::int64_t>(m * n));
if (n)
EXPECT_EQ(x / y, static_cast<std::int64_t>(m / n));
}
static void TestVsNativeUInt128(__uint128_t x, __uint128_t y)
{
WTF::UInt128Impl m { FromNativeUInt128(x) }, n { FromNativeUInt128(y) };
EXPECT_TRUE(ToNativeUInt128(m) == x);
EXPECT_TRUE(ToNativeUInt128(n) == y);
EXPECT_TRUE(ToNativeUInt128(~m) == ~x);
EXPECT_TRUE(ToNativeUInt128(-m) == -x);
EXPECT_TRUE(ToNativeUInt128(!m) == !x);
EXPECT_TRUE(ToNativeUInt128(m < n) == (x < y));
EXPECT_TRUE(ToNativeUInt128(m <= n) == (x <= y));
EXPECT_TRUE(ToNativeUInt128(m == n) == (x == y));
EXPECT_TRUE(ToNativeUInt128(m != n) == (x != y));
EXPECT_TRUE(ToNativeUInt128(m >= n) == (x >= y));
EXPECT_TRUE(ToNativeUInt128(m > n) == (x > y));
EXPECT_TRUE(ToNativeUInt128(m & n) == (x & y));
EXPECT_TRUE(ToNativeUInt128(m | n) == (x | y));
EXPECT_TRUE(ToNativeUInt128(m ^ n) == (x ^ y));
if (y < 128) {
EXPECT_TRUE(ToNativeUInt128(m << static_cast<unsigned>(n)) == (x << static_cast<unsigned>(y))) << n;
EXPECT_TRUE(ToNativeUInt128(m >> static_cast<unsigned>(n)) == (x >> static_cast<unsigned>(y))) << n;
}
EXPECT_TRUE(ToNativeUInt128(m + n) == (x + y));
EXPECT_TRUE(ToNativeUInt128(m - n) == (x - y));
EXPECT_TRUE(ToNativeUInt128(m * n) == (x * y));
if (y > 0) {
EXPECT_TRUE(ToNativeUInt128(m / n) == (x / y));
EXPECT_TRUE(ToNativeUInt128(m % n) == (x % y));
EXPECT_TRUE(ToNativeUInt128(m - n * (m / n)) == (x % y));
}
}
static void TestVsNativeInt128(__int128_t x, __int128_t y)
{
WTF::Int128Impl m { FromNativeInt128(x) }, n { FromNativeInt128(y) };
EXPECT_TRUE(ToNativeInt128(m) == x);
EXPECT_TRUE(ToNativeInt128(n) == y);
EXPECT_TRUE(ToNativeInt128(~m) == ~x);
EXPECT_TRUE(ToNativeInt128(-m) == -x);
EXPECT_TRUE(ToNativeInt128(!m) == !x);
EXPECT_TRUE(ToNativeInt128(m < n) == (x < y));
EXPECT_TRUE(ToNativeInt128(m <= n) == (x <= y));
EXPECT_TRUE(ToNativeInt128(m == n) == (x == y));
EXPECT_TRUE(ToNativeInt128(m != n) == (x != y));
EXPECT_TRUE(ToNativeInt128(m >= n) == (x >= y));
EXPECT_TRUE(ToNativeInt128(m > n) == (x > y));
EXPECT_TRUE(ToNativeInt128(m & n) == (x & y));
EXPECT_TRUE(ToNativeInt128(m | n) == (x | y));
EXPECT_TRUE(ToNativeInt128(m ^ n) == (x ^ y));
if (y < 128 && y >= 0) {
EXPECT_TRUE(ToNativeInt128(m << static_cast<int>(n)) == (x << static_cast<int>(y))) << n;
EXPECT_TRUE(ToNativeInt128(m >> static_cast<int>(n)) == (x >> static_cast<int>(y))) << n;
}
EXPECT_TRUE(ToNativeInt128(m + n) == (x + y));
EXPECT_TRUE(ToNativeInt128(m - n) == (x - y));
EXPECT_TRUE(ToNativeInt128(m * n) == (x * y));
if (y > 0) {
EXPECT_TRUE(ToNativeInt128(m / n) == (x / y));
EXPECT_TRUE(ToNativeInt128(m % n) == (x % y));
EXPECT_TRUE(ToNativeInt128(m - n * (m / n)) == (x % y));
}
}
TEST(WTF_Int128, VsNativeUInt128)
{
for (int j = 0; j < 128; ++j) {
for (int k = 0; k < 128; ++k) {
__uint128_t m { 1 }, n { 1 };
m <<= j;
n <<= k;
TestVsNativeUInt128(m, n);
TestVsNativeUInt128(~m, n);
TestVsNativeUInt128(m, ~n);
TestVsNativeUInt128(~m, ~n);
TestVsNativeUInt128(m ^ n, n);
TestVsNativeUInt128(m, m ^ n);
TestVsNativeUInt128(m ^ ~n, n);
TestVsNativeUInt128(m, ~m ^ n);
TestVsNativeUInt128(m ^ ~n, m ^ n);
TestVsNativeUInt128(m ^ n, ~m ^ n);
TestVsNativeUInt128(m ^ ~n, ~m ^ n);
TestBinaryUInt128(m, 10000000000000000); // important case for decimal conversion
TestBinaryUInt128(~m, 10000000000000000);
}
}
}
TEST(WTF_Int128, VsNativeInt128)
{
for (int j = 0; j < 128; ++j) {
for (int k = 0; k < 128; ++k) {
__int128_t m { 1 }, n { 1 };
m <<= j;
n <<= k;
TestVsNativeInt128(m, n);
TestVsNativeInt128(~m, n);
TestVsNativeInt128(m, ~n);
TestVsNativeInt128(~m, ~n);
TestVsNativeInt128(m ^ n, n);
TestVsNativeInt128(m, m ^ n);
TestVsNativeInt128(m ^ ~n, n);
TestVsNativeInt128(m, ~m ^ n);
TestVsNativeInt128(m ^ ~n, m ^ n);
TestVsNativeInt128(m ^ n, ~m ^ n);
TestVsNativeInt128(m ^ ~n, ~m ^ n);
TestBinaryInt128(m, 10000000000000000); // important case for decimal conversion
TestBinaryInt128(~m, 10000000000000000);
}
}
}
#endif
} // namespace TestWebKitAPI