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llvm / llvm-project / libc / refs/heads/master / . / test / src / __support / big_int_test.cpp
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//===-- Unittests for the UInt integer class ------------------------------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
#include "src/__support/CPP/optional.h"
#include "src/__support/big_int.h"
#include "src/__support/integer_literals.h" // parse_unsigned_bigint
#include "src/__support/macros/properties/types.h" // LIBC_TYPES_HAS_INT128
#include "hdr/math_macros.h" // HUGE_VALF, HUGE_VALF
#include "test/UnitTest/Test.h"
namespace LIBC_NAMESPACE {
enum Value { ZERO, ONE, TWO, MIN, MAX };
template <typename T> auto create(Value value) {
switch (value) {
case ZERO:
return T(0);
case ONE:
return T(1);
case TWO:
return T(2);
case MIN:
return T::min();
case MAX:
return T::max();
}
}
using Types = testing::TypeList< //
#ifdef LIBC_TYPES_HAS_INT64
BigInt<64, false, uint64_t>, // 64-bits unsigned (1 x uint64_t)
BigInt<64, true, uint64_t>, // 64-bits signed (1 x uint64_t)
#endif
#ifdef LIBC_TYPES_HAS_INT128
BigInt<128, false, __uint128_t>, // 128-bits unsigned (1 x __uint128_t)
BigInt<128, true, __uint128_t>, // 128-bits signed (1 x __uint128_t)
#endif
BigInt<16, false, uint16_t>, // 16-bits unsigned (1 x uint16_t)
BigInt<16, true, uint16_t>, // 16-bits signed (1 x uint16_t)
BigInt<64, false, uint16_t>, // 64-bits unsigned (4 x uint16_t)
BigInt<64, true, uint16_t> // 64-bits signed (4 x uint16_t)
>;
#define ASSERT_SAME(A, B) ASSERT_TRUE((A) == (B))
TYPED_TEST(LlvmLibcUIntClassTest, Additions, Types) {
ASSERT_SAME(create<T>(ZERO) + create<T>(ZERO), create<T>(ZERO));
ASSERT_SAME(create<T>(ONE) + create<T>(ZERO), create<T>(ONE));
ASSERT_SAME(create<T>(ZERO) + create<T>(ONE), create<T>(ONE));
ASSERT_SAME(create<T>(ONE) + create<T>(ONE), create<T>(TWO));
// 2's complement addition works for signed and unsigned types.
// - unsigned : 0xff + 0x01 = 0x00 (255 + 1 = 0)
// - signed : 0xef + 0x01 = 0xf0 (127 + 1 = -128)
ASSERT_SAME(create<T>(MAX) + create<T>(ONE), create<T>(MIN));
}
TYPED_TEST(LlvmLibcUIntClassTest, Subtraction, Types) {
ASSERT_SAME(create<T>(ZERO) - create<T>(ZERO), create<T>(ZERO));
ASSERT_SAME(create<T>(ONE) - create<T>(ONE), create<T>(ZERO));
ASSERT_SAME(create<T>(ONE) - create<T>(ZERO), create<T>(ONE));
// 2's complement subtraction works for signed and unsigned types.
// - unsigned : 0x00 - 0x01 = 0xff ( 0 - 1 = 255)
// - signed : 0xf0 - 0x01 = 0xef (-128 - 1 = 127)
ASSERT_SAME(create<T>(MIN) - create<T>(ONE), create<T>(MAX));
}
TYPED_TEST(LlvmLibcUIntClassTest, Multiplication, Types) {
ASSERT_SAME(create<T>(ZERO) * create<T>(ZERO), create<T>(ZERO));
ASSERT_SAME(create<T>(ZERO) * create<T>(ONE), create<T>(ZERO));
ASSERT_SAME(create<T>(ONE) * create<T>(ZERO), create<T>(ZERO));
ASSERT_SAME(create<T>(ONE) * create<T>(ONE), create<T>(ONE));
ASSERT_SAME(create<T>(ONE) * create<T>(TWO), create<T>(TWO));
ASSERT_SAME(create<T>(TWO) * create<T>(ONE), create<T>(TWO));
// - unsigned : 0xff x 0xff = 0x01 (mod 0xff)
// - signed : 0xef x 0xef = 0x01 (mod 0xff)
ASSERT_SAME(create<T>(MAX) * create<T>(MAX), create<T>(ONE));
}
template <typename T> void print(const char *msg, T value) {
testing::tlog << msg;
IntegerToString<T, radix::Hex> buffer(value);
testing::tlog << buffer.view() << "\n";
}
TEST(LlvmLibcUIntClassTest, SignedAddSub) {
// Computations performed by https://www.wolframalpha.com/
using T = BigInt<128, true, uint32_t>;
const T a = parse_bigint<T>("1927508279017230597");
const T b = parse_bigint<T>("278789278723478925");
const T s = parse_bigint<T>("2206297557740709522");
// Addition
ASSERT_SAME(a + b, s);
ASSERT_SAME(b + a, s); // commutative
// Subtraction
ASSERT_SAME(a - s, -b);
ASSERT_SAME(s - a, b);
}
TEST(LlvmLibcUIntClassTest, SignedMulDiv) {
// Computations performed by https://www.wolframalpha.com/
using T = BigInt<128, true, uint16_t>;
struct {
const char *a;
const char *b;
const char *mul;
} const test_cases[] = {{"-4", "3", "-12"},
{"-3", "-3", "9"},
{"1927508279017230597", "278789278723478925",
"537368642840747885329125014794668225"}};
for (auto tc : test_cases) {
const T a = parse_bigint<T>(tc.a);
const T b = parse_bigint<T>(tc.b);
const T mul = parse_bigint<T>(tc.mul);
// Multiplication
ASSERT_SAME(a * b, mul);
ASSERT_SAME(b * a, mul); // commutative
ASSERT_SAME(a * -b, -mul); // sign
ASSERT_SAME(-a * b, -mul); // sign
ASSERT_SAME(-a * -b, mul); // sign
// Division
ASSERT_SAME(mul / a, b);
ASSERT_SAME(mul / b, a);
ASSERT_SAME(-mul / a, -b); // sign
ASSERT_SAME(mul / -a, -b); // sign
ASSERT_SAME(-mul / -a, b); // sign
}
}
TYPED_TEST(LlvmLibcUIntClassTest, Division, Types) {
ASSERT_SAME(create<T>(ZERO) / create<T>(ONE), create<T>(ZERO));
ASSERT_SAME(create<T>(MAX) / create<T>(ONE), create<T>(MAX));
ASSERT_SAME(create<T>(MAX) / create<T>(MAX), create<T>(ONE));
ASSERT_SAME(create<T>(ONE) / create<T>(ONE), create<T>(ONE));
if constexpr (T::SIGNED) {
// Special case found by fuzzing.
ASSERT_SAME(create<T>(MIN) / create<T>(MIN), create<T>(ONE));
}
// - unsigned : 0xff / 0x02 = 0x7f
// - signed : 0xef / 0x02 = 0x77
ASSERT_SAME(create<T>(MAX) / create<T>(TWO), (create<T>(MAX) >> 1));
using word_type = typename T::word_type;
const T zero_one_repeated = T::all_ones() / T(0xff);
const word_type pattern = word_type(~0) / word_type(0xff);
for (const word_type part : zero_one_repeated.val) {
if constexpr (T::SIGNED == false) {
EXPECT_EQ(part, pattern);
}
}
}
TYPED_TEST(LlvmLibcUIntClassTest, is_neg, Types) {
EXPECT_FALSE(create<T>(ZERO).is_neg());
EXPECT_FALSE(create<T>(ONE).is_neg());
EXPECT_FALSE(create<T>(TWO).is_neg());
EXPECT_EQ(create<T>(MIN).is_neg(), T::SIGNED);
EXPECT_FALSE(create<T>(MAX).is_neg());
}
TYPED_TEST(LlvmLibcUIntClassTest, Masks, Types) {
if constexpr (!T::SIGNED) {
constexpr size_t BITS = T::BITS;
// mask_trailing_ones
ASSERT_SAME((mask_trailing_ones<T, 0>()), T::zero());
ASSERT_SAME((mask_trailing_ones<T, 1>()), T::one());
ASSERT_SAME((mask_trailing_ones<T, BITS - 1>()), T::all_ones() >> 1);
ASSERT_SAME((mask_trailing_ones<T, BITS>()), T::all_ones());
// mask_leading_ones
ASSERT_SAME((mask_leading_ones<T, 0>()), T::zero());
ASSERT_SAME((mask_leading_ones<T, 1>()), T::one() << (BITS - 1));
ASSERT_SAME((mask_leading_ones<T, BITS - 1>()), T::all_ones() - T::one());
ASSERT_SAME((mask_leading_ones<T, BITS>()), T::all_ones());
// mask_trailing_zeros
ASSERT_SAME((mask_trailing_zeros<T, 0>()), T::all_ones());
ASSERT_SAME((mask_trailing_zeros<T, 1>()), T::all_ones() - T::one());
ASSERT_SAME((mask_trailing_zeros<T, BITS - 1>()), T::one() << (BITS - 1));
ASSERT_SAME((mask_trailing_zeros<T, BITS>()), T::zero());
// mask_trailing_zeros
ASSERT_SAME((mask_leading_zeros<T, 0>()), T::all_ones());
ASSERT_SAME((mask_leading_zeros<T, 1>()), T::all_ones() >> 1);
ASSERT_SAME((mask_leading_zeros<T, BITS - 1>()), T::one());
ASSERT_SAME((mask_leading_zeros<T, BITS>()), T::zero());
}
}
TYPED_TEST(LlvmLibcUIntClassTest, CountBits, Types) {
if constexpr (!T::SIGNED) {
for (size_t i = 0; i < T::BITS; ++i) {
const auto l_one = T::all_ones() << i; // 0b111...000
const auto r_one = T::all_ones() >> i; // 0b000...111
const int zeros = i;
const int ones = T::BITS - zeros;
ASSERT_EQ(cpp::countr_one(r_one), ones);
ASSERT_EQ(cpp::countl_one(l_one), ones);
ASSERT_EQ(cpp::countr_zero(l_one), zeros);
ASSERT_EQ(cpp::countl_zero(r_one), zeros);
}
}
}
using LL_UInt64 = UInt<64>;
// We want to test UInt<128> explicitly. So, for
// convenience, we use a sugar which does not conflict with the UInt128 type
// which can resolve to __uint128_t if the platform has it.
using LL_UInt128 = UInt<128>;
using LL_UInt192 = UInt<192>;
using LL_UInt256 = UInt<256>;
using LL_UInt320 = UInt<320>;
using LL_UInt512 = UInt<512>;
using LL_UInt1024 = UInt<1024>;
using LL_Int128 = Int<128>;
using LL_Int192 = Int<192>;
TEST(LlvmLibcUIntClassTest, BitCastToFromDouble) {
static_assert(cpp::is_trivially_copyable<LL_UInt64>::value);
static_assert(sizeof(LL_UInt64) == sizeof(double));
const double inf = HUGE_VAL;
const double max = DBL_MAX;
const double array[] = {0.0, 0.1, 1.0, max, inf};
for (double value : array) {
LL_UInt64 back = cpp::bit_cast<LL_UInt64>(value);
double forth = cpp::bit_cast<double>(back);
EXPECT_TRUE(value == forth);
}
}
#ifdef LIBC_TYPES_HAS_INT128
TEST(LlvmLibcUIntClassTest, BitCastToFromNativeUint128) {
static_assert(cpp::is_trivially_copyable<LL_UInt128>::value);
static_assert(sizeof(LL_UInt128) == sizeof(__uint128_t));
const __uint128_t array[] = {0, 1, ~__uint128_t(0)};
for (__uint128_t value : array) {
LL_UInt128 back = cpp::bit_cast<LL_UInt128>(value);
__uint128_t forth = cpp::bit_cast<__uint128_t>(back);
EXPECT_TRUE(value == forth);
}
}
#endif // LIBC_TYPES_HAS_INT128
#ifdef LIBC_TYPES_HAS_FLOAT128
TEST(LlvmLibcUIntClassTest, BitCastToFromNativeFloat128) {
static_assert(cpp::is_trivially_copyable<LL_UInt128>::value);
static_assert(sizeof(LL_UInt128) == sizeof(float128));
const float128 array[] = {0, 0.1, 1};
for (float128 value : array) {
LL_UInt128 back = cpp::bit_cast<LL_UInt128>(value);
float128 forth = cpp::bit_cast<float128>(back);
EXPECT_TRUE(value == forth);
}
}
#endif // LIBC_TYPES_HAS_FLOAT128
TEST(LlvmLibcUIntClassTest, BasicInit) {
LL_UInt128 half_val(12345);
LL_UInt128 full_val({12345, 67890});
ASSERT_TRUE(half_val != full_val);
}
TEST(LlvmLibcUIntClassTest, AdditionTests) {
LL_UInt128 val1(12345);
LL_UInt128 val2(54321);
LL_UInt128 result1(66666);
EXPECT_EQ(val1 + val2, result1);
EXPECT_EQ((val1 + val2), (val2 + val1)); // addition is commutative
// Test overflow
LL_UInt128 val3({0xf000000000000001, 0});
LL_UInt128 val4({0x100000000000000f, 0});
LL_UInt128 result2({0x10, 0x1});
EXPECT_EQ(val3 + val4, result2);
EXPECT_EQ(val3 + val4, val4 + val3);
// Test overflow
LL_UInt128 val5({0x0123456789abcdef, 0xfedcba9876543210});
LL_UInt128 val6({0x1111222233334444, 0xaaaabbbbccccdddd});
LL_UInt128 result3({0x12346789bcdf1233, 0xa987765443210fed});
EXPECT_EQ(val5 + val6, result3);
EXPECT_EQ(val5 + val6, val6 + val5);
// Test 192-bit addition
LL_UInt192 val7({0x0123456789abcdef, 0xfedcba9876543210, 0xfedcba9889abcdef});
LL_UInt192 val8({0x1111222233334444, 0xaaaabbbbccccdddd, 0xeeeeffffeeeeffff});
LL_UInt192 result4(
{0x12346789bcdf1233, 0xa987765443210fed, 0xedcbba98789acdef});
EXPECT_EQ(val7 + val8, result4);
EXPECT_EQ(val7 + val8, val8 + val7);
// Test 256-bit addition
LL_UInt256 val9({0x1f1e1d1c1b1a1918, 0xf1f2f3f4f5f6f7f8, 0x0123456789abcdef,
0xfedcba9876543210});
LL_UInt256 val10({0x1111222233334444, 0xaaaabbbbccccdddd, 0x1111222233334444,
0xaaaabbbbccccdddd});
LL_UInt256 result5({0x302f3f3e4e4d5d5c, 0x9c9dafb0c2c3d5d5,
0x12346789bcdf1234, 0xa987765443210fed});
EXPECT_EQ(val9 + val10, result5);
EXPECT_EQ(val9 + val10, val10 + val9);
}
TEST(LlvmLibcUIntClassTest, SubtractionTests) {
LL_UInt128 val1(12345);
LL_UInt128 val2(54321);
LL_UInt128 result1({0xffffffffffff5c08, 0xffffffffffffffff});
LL_UInt128 result2(0xa3f8);
EXPECT_EQ(val1 - val2, result1);
EXPECT_EQ(val1, val2 + result1);
EXPECT_EQ(val2 - val1, result2);
EXPECT_EQ(val2, val1 + result2);
LL_UInt128 val3({0xf000000000000001, 0});
LL_UInt128 val4({0x100000000000000f, 0});
LL_UInt128 result3(0xdffffffffffffff2);
LL_UInt128 result4({0x200000000000000e, 0xffffffffffffffff});
EXPECT_EQ(val3 - val4, result3);
EXPECT_EQ(val3, val4 + result3);
EXPECT_EQ(val4 - val3, result4);
EXPECT_EQ(val4, val3 + result4);
LL_UInt128 val5({0x0123456789abcdef, 0xfedcba9876543210});
LL_UInt128 val6({0x1111222233334444, 0xaaaabbbbccccdddd});
LL_UInt128 result5({0xf0122345567889ab, 0x5431fedca9875432});
LL_UInt128 result6({0x0feddcbaa9877655, 0xabce01235678abcd});
EXPECT_EQ(val5 - val6, result5);
EXPECT_EQ(val5, val6 + result5);
EXPECT_EQ(val6 - val5, result6);
EXPECT_EQ(val6, val5 + result6);
}
TEST(LlvmLibcUIntClassTest, MultiplicationTests) {
LL_UInt128 val1({5, 0});
LL_UInt128 val2({10, 0});
LL_UInt128 result1({50, 0});
EXPECT_EQ((val1 * val2), result1);
EXPECT_EQ((val1 * val2), (val2 * val1)); // multiplication is commutative
// Check that the multiplication works accross the whole number
LL_UInt128 val3({0xf, 0});
LL_UInt128 val4({0x1111111111111111, 0x1111111111111111});
LL_UInt128 result2({0xffffffffffffffff, 0xffffffffffffffff});
EXPECT_EQ((val3 * val4), result2);
EXPECT_EQ((val3 * val4), (val4 * val3));
// Check that multiplication doesn't reorder the bits.
LL_UInt128 val5({2, 0});
LL_UInt128 val6({0x1357024675316420, 0x0123456776543210});
LL_UInt128 result3({0x26ae048cea62c840, 0x02468aceeca86420});
EXPECT_EQ((val5 * val6), result3);
EXPECT_EQ((val5 * val6), (val6 * val5));
// Make sure that multiplication handles overflow correctly.
LL_UInt128 val7(2);
LL_UInt128 val8({0x8000800080008000, 0x8000800080008000});
LL_UInt128 result4({0x0001000100010000, 0x0001000100010001});
EXPECT_EQ((val7 * val8), result4);
EXPECT_EQ((val7 * val8), (val8 * val7));
// val9 is the 128 bit mantissa of 1e60 as a float, val10 is the mantissa for
// 1e-60. They almost cancel on the high bits, but the result we're looking
// for is just the low bits. The full result would be
// 0x7fffffffffffffffffffffffffffffff3a4f32d17f40d08f917cf11d1e039c50
LL_UInt128 val9({0x01D762422C946590, 0x9F4F2726179A2245});
LL_UInt128 val10({0x3792F412CB06794D, 0xCDB02555653131B6});
LL_UInt128 result5({0x917cf11d1e039c50, 0x3a4f32d17f40d08f});
EXPECT_EQ((val9 * val10), result5);
EXPECT_EQ((val9 * val10), (val10 * val9));
// Test 192-bit multiplication
LL_UInt192 val11(
{0xffffffffffffffff, 0x01D762422C946590, 0x9F4F2726179A2245});
LL_UInt192 val12(
{0xffffffffffffffff, 0x3792F412CB06794D, 0xCDB02555653131B6});
LL_UInt192 result6(
{0x0000000000000001, 0xc695a9ab08652121, 0x5de7faf698d32732});
EXPECT_EQ((val11 * val12), result6);
EXPECT_EQ((val11 * val12), (val12 * val11));
LL_UInt256 val13({0xffffffffffffffff, 0x01D762422C946590, 0x9F4F2726179A2245,
0xffffffffffffffff});
LL_UInt256 val14({0xffffffffffffffff, 0xffffffffffffffff, 0x3792F412CB06794D,
0xCDB02555653131B6});
LL_UInt256 result7({0x0000000000000001, 0xfe289dbdd36b9a6f,
0x291de4c71d5f646c, 0xfd37221cb06d4978});
EXPECT_EQ((val13 * val14), result7);
EXPECT_EQ((val13 * val14), (val14 * val13));
}
TEST(LlvmLibcUIntClassTest, DivisionTests) {
LL_UInt128 val1({10, 0});
LL_UInt128 val2({5, 0});
LL_UInt128 result1({2, 0});
EXPECT_EQ((val1 / val2), result1);
EXPECT_EQ((val1 / result1), val2);
// Check that the division works accross the whole number
LL_UInt128 val3({0xffffffffffffffff, 0xffffffffffffffff});
LL_UInt128 val4({0xf, 0});
LL_UInt128 result2({0x1111111111111111, 0x1111111111111111});
EXPECT_EQ((val3 / val4), result2);
EXPECT_EQ((val3 / result2), val4);
// Check that division doesn't reorder the bits.
LL_UInt128 val5({0x26ae048cea62c840, 0x02468aceeca86420});
LL_UInt128 val6({2, 0});
LL_UInt128 result3({0x1357024675316420, 0x0123456776543210});
EXPECT_EQ((val5 / val6), result3);
EXPECT_EQ((val5 / result3), val6);
// Make sure that division handles inexact results correctly.
LL_UInt128 val7({1001, 0});
LL_UInt128 val8({10, 0});
LL_UInt128 result4({100, 0});
EXPECT_EQ((val7 / val8), result4);
EXPECT_EQ((val7 / result4), val8);
// Make sure that division handles divisors of one correctly.
LL_UInt128 val9({0x1234567812345678, 0x9abcdef09abcdef0});
LL_UInt128 val10({1, 0});
LL_UInt128 result5({0x1234567812345678, 0x9abcdef09abcdef0});
EXPECT_EQ((val9 / val10), result5);
EXPECT_EQ((val9 / result5), val10);
// Make sure that division handles results of slightly more than 1 correctly.
LL_UInt128 val11({1050, 0});
LL_UInt128 val12({1030, 0});
LL_UInt128 result6({1, 0});
EXPECT_EQ((val11 / val12), result6);
// Make sure that division handles dividing by zero correctly.
LL_UInt128 val13({1234, 0});
LL_UInt128 val14({0, 0});
EXPECT_FALSE(val13.div(val14).has_value());
}
TEST(LlvmLibcUIntClassTest, ModuloTests) {
LL_UInt128 val1({10, 0});
LL_UInt128 val2({5, 0});
LL_UInt128 result1({0, 0});
EXPECT_EQ((val1 % val2), result1);
LL_UInt128 val3({101, 0});
LL_UInt128 val4({10, 0});
LL_UInt128 result2({1, 0});
EXPECT_EQ((val3 % val4), result2);
LL_UInt128 val5({10000001, 0});
LL_UInt128 val6({10, 0});
LL_UInt128 result3({1, 0});
EXPECT_EQ((val5 % val6), result3);
LL_UInt128 val7({12345, 10});
LL_UInt128 val8({0, 1});
LL_UInt128 result4({12345, 0});
EXPECT_EQ((val7 % val8), result4);
LL_UInt128 val9({12345, 10});
LL_UInt128 val10({0, 11});
LL_UInt128 result5({12345, 10});
EXPECT_EQ((val9 % val10), result5);
LL_UInt128 val11({10, 10});
LL_UInt128 val12({10, 10});
LL_UInt128 result6({0, 0});
EXPECT_EQ((val11 % val12), result6);
LL_UInt128 val13({12345, 0});
LL_UInt128 val14({1, 0});
LL_UInt128 result7({0, 0});
EXPECT_EQ((val13 % val14), result7);
LL_UInt128 val15({0xffffffffffffffff, 0xffffffffffffffff});
LL_UInt128 val16({0x1111111111111111, 0x111111111111111});
LL_UInt128 result8({0xf, 0});
EXPECT_EQ((val15 % val16), result8);
LL_UInt128 val17({5076944270305263619, 54210108624}); // (10 ^ 30) + 3
LL_UInt128 val18({10, 0});
LL_UInt128 result9({3, 0});
EXPECT_EQ((val17 % val18), result9);
}
TEST(LlvmLibcUIntClassTest, PowerTests) {
LL_UInt128 val1({10, 0});
val1.pow_n(30);
LL_UInt128 result1({5076944270305263616, 54210108624}); // (10 ^ 30)
EXPECT_EQ(val1, result1);
LL_UInt128 val2({1, 0});
val2.pow_n(10);
LL_UInt128 result2({1, 0});
EXPECT_EQ(val2, result2);
LL_UInt128 val3({0, 0});
val3.pow_n(10);
LL_UInt128 result3({0, 0});
EXPECT_EQ(val3, result3);
LL_UInt128 val4({10, 0});
val4.pow_n(0);
LL_UInt128 result4({1, 0});
EXPECT_EQ(val4, result4);
// Test zero to the zero. Currently it returns 1, since that's the easiest
// result.
LL_UInt128 val5({0, 0});
val5.pow_n(0);
LL_UInt128 result5({1, 0});
EXPECT_EQ(val5, result5);
// Test a number that overflows. 100 ^ 20 is larger than 2 ^ 128.
LL_UInt128 val6({100, 0});
val6.pow_n(20);
LL_UInt128 result6({0xb9f5610000000000, 0x6329f1c35ca4bfab});
EXPECT_EQ(val6, result6);
// Test that both halves of the number are being used.
LL_UInt128 val7({1, 1});
val7.pow_n(2);
LL_UInt128 result7({1, 2});
EXPECT_EQ(val7, result7);
LL_UInt128 val_pow_two;
LL_UInt128 result_pow_two;
for (size_t i = 0; i < 128; ++i) {
val_pow_two = 2;
val_pow_two.pow_n(i);
result_pow_two = 1;
result_pow_two = result_pow_two << i;
EXPECT_EQ(val_pow_two, result_pow_two);
}
}
TEST(LlvmLibcUIntClassTest, ShiftLeftTests) {
LL_UInt128 val1(0x0123456789abcdef);
LL_UInt128 result1(0x123456789abcdef0);
EXPECT_EQ((val1 << 4), result1);
LL_UInt128 val2({0x13579bdf02468ace, 0x123456789abcdef0});
LL_UInt128 result2({0x02468ace00000000, 0x9abcdef013579bdf});
EXPECT_EQ((val2 << 32), result2);
LL_UInt128 val22 = val2;
val22 <<= 32;
EXPECT_EQ(val22, result2);
LL_UInt128 result3({0, 0x13579bdf02468ace});
EXPECT_EQ((val2 << 64), result3);
LL_UInt128 result4({0, 0x02468ace00000000});
EXPECT_EQ((val2 << 96), result4);
LL_UInt128 result5({0, 0x2468ace000000000});
EXPECT_EQ((val2 << 100), result5);
LL_UInt192 val3({1, 0, 0});
LL_UInt192 result7({0, 1, 0});
EXPECT_EQ((val3 << 64), result7);
}
TEST(LlvmLibcUIntClassTest, ShiftRightTests) {
LL_UInt128 val1(0x0123456789abcdef);
LL_UInt128 result1(0x00123456789abcde);
EXPECT_EQ((val1 >> 4), result1);
LL_UInt128 val2({0x13579bdf02468ace, 0x123456789abcdef0});
LL_UInt128 result2({0x9abcdef013579bdf, 0x0000000012345678});
EXPECT_EQ((val2 >> 32), result2);
LL_UInt128 val22 = val2;
val22 >>= 32;
EXPECT_EQ(val22, result2);
LL_UInt128 result3({0x123456789abcdef0, 0});
EXPECT_EQ((val2 >> 64), result3);
LL_UInt128 result4({0x0000000012345678, 0});
EXPECT_EQ((val2 >> 96), result4);
LL_UInt128 result5({0x0000000001234567, 0});
EXPECT_EQ((val2 >> 100), result5);
LL_UInt128 v1({0x1111222233334444, 0xaaaabbbbccccdddd});
LL_UInt128 r1({0xaaaabbbbccccdddd, 0});
EXPECT_EQ((v1 >> 64), r1);
LL_UInt192 v2({0x1111222233334444, 0x5555666677778888, 0xaaaabbbbccccdddd});
LL_UInt192 r2({0x5555666677778888, 0xaaaabbbbccccdddd, 0});
LL_UInt192 r3({0xaaaabbbbccccdddd, 0, 0});
EXPECT_EQ((v2 >> 64), r2);
EXPECT_EQ((v2 >> 128), r3);
EXPECT_EQ((r2 >> 64), r3);
LL_UInt192 val3({0, 0, 1});
LL_UInt192 result7({0, 1, 0});
EXPECT_EQ((val3 >> 64), result7);
}
TEST(LlvmLibcUIntClassTest, AndTests) {
LL_UInt128 base({0xffff00000000ffff, 0xffffffff00000000});
LL_UInt128 val128({0xf0f0f0f00f0f0f0f, 0xff00ff0000ff00ff});
uint64_t val64 = 0xf0f0f0f00f0f0f0f;
int val32 = 0x0f0f0f0f;
LL_UInt128 result128({0xf0f0000000000f0f, 0xff00ff0000000000});
LL_UInt128 result64(0xf0f0000000000f0f);
LL_UInt128 result32(0x00000f0f);
EXPECT_EQ((base & val128), result128);
EXPECT_EQ((base & val64), result64);
EXPECT_EQ((base & val32), result32);
}
TEST(LlvmLibcUIntClassTest, OrTests) {
LL_UInt128 base({0xffff00000000ffff, 0xffffffff00000000});
LL_UInt128 val128({0xf0f0f0f00f0f0f0f, 0xff00ff0000ff00ff});
uint64_t val64 = 0xf0f0f0f00f0f0f0f;
int val32 = 0x0f0f0f0f;
LL_UInt128 result128({0xfffff0f00f0fffff, 0xffffffff00ff00ff});
LL_UInt128 result64({0xfffff0f00f0fffff, 0xffffffff00000000});
LL_UInt128 result32({0xffff00000f0fffff, 0xffffffff00000000});
EXPECT_EQ((base | val128), result128);
EXPECT_EQ((base | val64), result64);
EXPECT_EQ((base | val32), result32);
}
TEST(LlvmLibcUIntClassTest, CompoundAssignments) {
LL_UInt128 x({0xffff00000000ffff, 0xffffffff00000000});
LL_UInt128 b({0xf0f0f0f00f0f0f0f, 0xff00ff0000ff00ff});
LL_UInt128 a = x;
a |= b;
LL_UInt128 or_result({0xfffff0f00f0fffff, 0xffffffff00ff00ff});
EXPECT_EQ(a, or_result);
a = x;
a &= b;
LL_UInt128 and_result({0xf0f0000000000f0f, 0xff00ff0000000000});
EXPECT_EQ(a, and_result);
a = x;
a ^= b;
LL_UInt128 xor_result({0x0f0ff0f00f0ff0f0, 0x00ff00ff00ff00ff});
EXPECT_EQ(a, xor_result);
a = LL_UInt128(uint64_t(0x0123456789abcdef));
LL_UInt128 shift_left_result(uint64_t(0x123456789abcdef0));
a <<= 4;
EXPECT_EQ(a, shift_left_result);
a = LL_UInt128(uint64_t(0x123456789abcdef1));
LL_UInt128 shift_right_result(uint64_t(0x0123456789abcdef));
a >>= 4;
EXPECT_EQ(a, shift_right_result);
a = LL_UInt128({0xf000000000000001, 0});
b = LL_UInt128({0x100000000000000f, 0});
LL_UInt128 add_result({0x10, 0x1});
a += b;
EXPECT_EQ(a, add_result);
a = LL_UInt128({0xf, 0});
b = LL_UInt128({0x1111111111111111, 0x1111111111111111});
LL_UInt128 mul_result({0xffffffffffffffff, 0xffffffffffffffff});
a *= b;
EXPECT_EQ(a, mul_result);
}
TEST(LlvmLibcUIntClassTest, UnaryPredecrement) {
LL_UInt128 a = LL_UInt128({0x1111111111111111, 0x1111111111111111});
++a;
EXPECT_EQ(a, LL_UInt128({0x1111111111111112, 0x1111111111111111}));
a = LL_UInt128({0xffffffffffffffff, 0x0});
++a;
EXPECT_EQ(a, LL_UInt128({0x0, 0x1}));
a = LL_UInt128({0xffffffffffffffff, 0xffffffffffffffff});
++a;
EXPECT_EQ(a, LL_UInt128({0x0, 0x0}));
}
TEST(LlvmLibcUIntClassTest, EqualsTests) {
LL_UInt128 a1({0xffffffff00000000, 0xffff00000000ffff});
LL_UInt128 a2({0xffffffff00000000, 0xffff00000000ffff});
LL_UInt128 b({0xff00ff0000ff00ff, 0xf0f0f0f00f0f0f0f});
LL_UInt128 a_reversed({0xffff00000000ffff, 0xffffffff00000000});
LL_UInt128 a_upper(0xffff00000000ffff);
LL_UInt128 a_lower(0xffffffff00000000);
ASSERT_TRUE(a1 == a1);
ASSERT_TRUE(a1 == a2);
ASSERT_FALSE(a1 == b);
ASSERT_FALSE(a1 == a_reversed);
ASSERT_FALSE(a1 == a_lower);
ASSERT_FALSE(a1 == a_upper);
ASSERT_TRUE(a_lower != a_upper);
}
TEST(LlvmLibcUIntClassTest, ComparisonTests) {
LL_UInt128 a({0xffffffff00000000, 0xffff00000000ffff});
LL_UInt128 b({0xff00ff0000ff00ff, 0xf0f0f0f00f0f0f0f});
EXPECT_GT(a, b);
EXPECT_GE(a, b);
EXPECT_LT(b, a);
EXPECT_LE(b, a);
LL_UInt128 x(0xffffffff00000000);
LL_UInt128 y(0x00000000ffffffff);
EXPECT_GT(x, y);
EXPECT_GE(x, y);
EXPECT_LT(y, x);
EXPECT_LE(y, x);
EXPECT_LE(a, a);
EXPECT_GE(a, a);
}
TEST(LlvmLibcUIntClassTest, FullMulTests) {
LL_UInt128 a({0xffffffffffffffffULL, 0xffffffffffffffffULL});
LL_UInt128 b({0xfedcba9876543210ULL, 0xfefdfcfbfaf9f8f7ULL});
LL_UInt256 r({0x0123456789abcdf0ULL, 0x0102030405060708ULL,
0xfedcba987654320fULL, 0xfefdfcfbfaf9f8f7ULL});
LL_UInt128 r_hi({0xfedcba987654320eULL, 0xfefdfcfbfaf9f8f7ULL});
EXPECT_EQ(a.ful_mul(b), r);
EXPECT_EQ(a.quick_mul_hi(b), r_hi);
LL_UInt192 c(
{0x7766554433221101ULL, 0xffeeddccbbaa9988ULL, 0x1f2f3f4f5f6f7f8fULL});
LL_UInt320 rr({0x8899aabbccddeeffULL, 0x0011223344556677ULL,
0x583715f4d3b29171ULL, 0xffeeddccbbaa9988ULL,
0x1f2f3f4f5f6f7f8fULL});
EXPECT_EQ(a.ful_mul(c), rr);
EXPECT_EQ(a.ful_mul(c), c.ful_mul(a));
}
#define TEST_QUICK_MUL_HI(Bits, Error) \
do { \
LL_UInt##Bits a = ~LL_UInt##Bits(0); \
LL_UInt##Bits hi = a.quick_mul_hi(a); \
LL_UInt##Bits trunc = static_cast<LL_UInt##Bits>(a.ful_mul(a) >> Bits); \
uint64_t overflow = trunc.sub_overflow(hi); \
EXPECT_EQ(overflow, uint64_t(0)); \
EXPECT_LE(uint64_t(trunc), uint64_t(Error)); \
} while (0)
TEST(LlvmLibcUIntClassTest, QuickMulHiTests) {
TEST_QUICK_MUL_HI(128, 1);
TEST_QUICK_MUL_HI(192, 2);
TEST_QUICK_MUL_HI(256, 3);
TEST_QUICK_MUL_HI(512, 7);
}
TEST(LlvmLibcUIntClassTest, ConstexprInitTests) {
constexpr LL_UInt128 add = LL_UInt128(1) + LL_UInt128(2);
ASSERT_EQ(add, LL_UInt128(3));
constexpr LL_UInt128 sub = LL_UInt128(5) - LL_UInt128(4);
ASSERT_EQ(sub, LL_UInt128(1));
}
#define TEST_QUICK_DIV_UINT32_POW2(x, e) \
do { \
LL_UInt320 y({0x8899aabbccddeeffULL, 0x0011223344556677ULL, \
0x583715f4d3b29171ULL, 0xffeeddccbbaa9988ULL, \
0x1f2f3f4f5f6f7f8fULL}); \
LL_UInt320 d = LL_UInt320(x); \
d <<= e; \
LL_UInt320 q1 = y / d; \
LL_UInt320 r1 = y % d; \
LL_UInt320 r2 = *y.div_uint_half_times_pow_2(x, e); \
EXPECT_EQ(q1, y); \
EXPECT_EQ(r1, r2); \
} while (0)
TEST(LlvmLibcUIntClassTest, DivUInt32TimesPow2Tests) {
for (size_t i = 0; i < 320; i += 32) {
TEST_QUICK_DIV_UINT32_POW2(1, i);
TEST_QUICK_DIV_UINT32_POW2(13151719, i);
}
TEST_QUICK_DIV_UINT32_POW2(1, 75);
TEST_QUICK_DIV_UINT32_POW2(1, 101);
TEST_QUICK_DIV_UINT32_POW2(1000000000, 75);
TEST_QUICK_DIV_UINT32_POW2(1000000000, 101);
}
TEST(LlvmLibcUIntClassTest, ComparisonInt128Tests) {
LL_Int128 a(123);
LL_Int128 b(0);
LL_Int128 c(-1);
ASSERT_TRUE(a == a);
ASSERT_TRUE(b == b);
ASSERT_TRUE(c == c);
ASSERT_TRUE(a != b);
ASSERT_TRUE(a != c);
ASSERT_TRUE(b != a);
ASSERT_TRUE(b != c);
ASSERT_TRUE(c != a);
ASSERT_TRUE(c != b);
ASSERT_TRUE(a > b);
ASSERT_TRUE(a >= b);
ASSERT_TRUE(a > c);
ASSERT_TRUE(a >= c);
ASSERT_TRUE(b > c);
ASSERT_TRUE(b >= c);
ASSERT_TRUE(b < a);
ASSERT_TRUE(b <= a);
ASSERT_TRUE(c < a);
ASSERT_TRUE(c <= a);
ASSERT_TRUE(c < b);
ASSERT_TRUE(c <= b);
}
TEST(LlvmLibcUIntClassTest, BasicArithmeticInt128Tests) {
LL_Int128 a(123);
LL_Int128 b(0);
LL_Int128 c(-3);
ASSERT_EQ(a * a, LL_Int128(123 * 123));
ASSERT_EQ(a * c, LL_Int128(-369));
ASSERT_EQ(c * a, LL_Int128(-369));
ASSERT_EQ(c * c, LL_Int128(9));
ASSERT_EQ(a * b, b);
ASSERT_EQ(b * a, b);
ASSERT_EQ(b * c, b);
ASSERT_EQ(c * b, b);
}
#ifdef LIBC_TYPES_HAS_INT128
TEST(LlvmLibcUIntClassTest, ConstructorFromUInt128Tests) {
__uint128_t a = (__uint128_t(123) << 64) + 1;
__int128_t b = -static_cast<__int128_t>(a);
LL_Int128 c(a);
LL_Int128 d(b);
LL_Int192 e(a);
LL_Int192 f(b);
ASSERT_EQ(static_cast<int>(c), 1);
ASSERT_EQ(static_cast<int>(c >> 64), 123);
ASSERT_EQ(static_cast<uint64_t>(d), static_cast<uint64_t>(b));
ASSERT_EQ(static_cast<uint64_t>(d >> 64), static_cast<uint64_t>(b >> 64));
ASSERT_EQ(c + d, LL_Int128(a + b));
ASSERT_EQ(static_cast<int>(e), 1);
ASSERT_EQ(static_cast<int>(e >> 64), 123);
ASSERT_EQ(static_cast<uint64_t>(f), static_cast<uint64_t>(b));
ASSERT_EQ(static_cast<uint64_t>(f >> 64), static_cast<uint64_t>(b >> 64));
ASSERT_EQ(LL_UInt192(e + f), LL_UInt192(a + b));
}
TEST(LlvmLibcUIntClassTest, WordTypeUInt128Tests) {
using LL_UInt256_128 = BigInt<256, false, __uint128_t>;
using LL_UInt128_128 = BigInt<128, false, __uint128_t>;
LL_UInt256_128 a(1);
ASSERT_EQ(static_cast<int>(a), 1);
a = (a << 128) + 2;
ASSERT_EQ(static_cast<int>(a), 2);
ASSERT_EQ(static_cast<uint64_t>(a), uint64_t(2));
a = (a << 32) + 3;
ASSERT_EQ(static_cast<int>(a), 3);
ASSERT_EQ(static_cast<uint64_t>(a), uint64_t(0x2'0000'0003));
ASSERT_EQ(static_cast<int>(a >> 32), 2);
ASSERT_EQ(static_cast<int>(a >> (128 + 32)), 1);
LL_UInt128_128 b(__uint128_t(1) << 127);
LL_UInt128_128 c(b);
a = b.ful_mul(c);
ASSERT_EQ(static_cast<int>(a >> 254), 1);
LL_UInt256_128 d = LL_UInt256_128(123) << 4;
ASSERT_EQ(static_cast<int>(d), 123 << 4);
LL_UInt256_128 e = a / d;
LL_UInt256_128 f = a % d;
LL_UInt256_128 r = *a.div_uint_half_times_pow_2(123, 4);
EXPECT_TRUE(e == a);
EXPECT_TRUE(f == r);
}
#endif // LIBC_TYPES_HAS_INT128
TEST(LlvmLibcUIntClassTest, OtherWordTypeTests) {
using LL_UInt96 = BigInt<96, false, uint32_t>;
LL_UInt96 a(1);
ASSERT_EQ(static_cast<int>(a), 1);
a = (a << 32) + 2;
ASSERT_EQ(static_cast<int>(a), 2);
ASSERT_EQ(static_cast<uint64_t>(a), uint64_t(0x1'0000'0002));
a = (a << 32) + 3;
ASSERT_EQ(static_cast<int>(a), 3);
ASSERT_EQ(static_cast<int>(a >> 32), 2);
ASSERT_EQ(static_cast<int>(a >> 64), 1);
}
} // namespace LIBC_NAMESPACE