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test_intx_api.cpp
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// intx: extended precision integer library.
// Copyright 2019 Pawel Bylica.
// Licensed under the Apache License, Version 2.0.
#include "test_suite.hpp"
using namespace intx::literals;
static_assert(1_u128);
static_assert(1_u192);
static_assert(1_u256);
static_assert(1_u320);
static_assert(1_u384);
static_assert(1_u448);
static_assert(1_u512);
using namespace intx;
static_assert(uint128{2} + uint128{2} == 4);
static_assert(uint256{2} + uint256{2} == 4);
static_assert(uint512{2} + uint512{2} == 4);
static_assert(uint128{2} - uint128{1} == 1);
static_assert(uint256{2} - uint256{1} == 1);
static_assert(uint512{2} - uint512{1} == 1);
static_assert(uint128{2} * uint128{2} == 4);
static_assert(uint256{2} * uint256{2} == 4);
static_assert(uint512{2} * uint512{2} == 4);
static_assert(umul(uint256{2}, uint256{3}) == 6);
static_assert(0_u256 == 0);
static_assert(-1_u256 == ~0_u256);
static_assert(
115792089237316195423570985008687907853269984665640564039457584007913129639935_u256 == ~0_u256);
static_assert(0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff_u256 == ~0_u256);
static_assert(clz(uint128{0}) == 128);
static_assert(clz(uint128{1}) == 127);
static_assert(clz(uint256{0}) == 256);
static_assert(clz(uint256{1}) == 255);
static_assert(clz(uint512{0}) == 512);
static_assert(clz(uint512{1}) == 511);
TEST(uint256, div)
{
uint256 a = 10001;
uint256 b = 10;
EXPECT_EQ(a / b, 1000);
}
template <typename T>
class uint_api : public testing::Test
{
};
TYPED_TEST_SUITE(uint_api, test_types, type_to_name);
TYPED_TEST(uint_api, constructor)
{
auto i = int{-1};
auto x = TypeParam{i};
TypeParam y = i;
auto z = TypeParam(i);
EXPECT_EQ(x, y);
EXPECT_EQ(x, z);
}
TYPED_TEST(uint_api, arithmetic)
{
auto a = int{};
auto b = uint64_t{};
auto c = uint128{};
auto d = uint256{};
auto x = TypeParam{};
EXPECT_TRUE(x + x == 0);
EXPECT_TRUE(x + a == 0);
EXPECT_TRUE(x + b == 0);
EXPECT_TRUE(x + c == 0);
EXPECT_TRUE(x + d == 0);
EXPECT_TRUE(a + x == 0);
EXPECT_TRUE(b + x == 0);
EXPECT_TRUE(c + x == 0);
EXPECT_TRUE(d + x == 0);
EXPECT_TRUE(x - x == 0);
EXPECT_TRUE(x - a == 0);
EXPECT_TRUE(x - b == 0);
EXPECT_TRUE(x - c == 0);
EXPECT_TRUE(x - d == 0);
EXPECT_TRUE(a - x == 0);
EXPECT_TRUE(b - x == 0);
EXPECT_TRUE(c - x == 0);
EXPECT_TRUE(d - x == 0);
EXPECT_TRUE(x * x == 0);
EXPECT_TRUE(x * a == 0);
EXPECT_TRUE(x * b == 0);
EXPECT_TRUE(x * c == 0);
EXPECT_TRUE(x * d == 0);
EXPECT_TRUE(a * x == 0);
EXPECT_TRUE(b * x == 0);
EXPECT_TRUE(c * x == 0);
EXPECT_TRUE(d * x == 0);
}
TYPED_TEST(uint_api, division)
{
auto a = int{1};
auto b = uint64_t{1};
auto c = uint128{1};
auto d = uint256{1};
auto x = TypeParam{1};
EXPECT_TRUE(x / x == 1);
EXPECT_TRUE(x / a == 1);
EXPECT_TRUE(x / b == 1);
EXPECT_TRUE(x / c == 1);
EXPECT_TRUE(x / d == 1);
EXPECT_TRUE(a / x == 1);
EXPECT_TRUE(b / x == 1);
EXPECT_TRUE(c / x == 1);
EXPECT_TRUE(d / x == 1);
EXPECT_TRUE(x % x == 0);
EXPECT_TRUE(x % a == 0);
EXPECT_TRUE(x % b == 0);
EXPECT_TRUE(x % c == 0);
EXPECT_TRUE(x % d == 0);
EXPECT_TRUE(a % x == 0);
EXPECT_TRUE(b % x == 0);
EXPECT_TRUE(c % x == 0);
EXPECT_TRUE(d % x == 0);
}
TYPED_TEST(uint_api, bitwise)
{
auto a = int{};
auto b = uint64_t{};
auto c = uint128{};
auto d = uint256{};
auto x = TypeParam{};
EXPECT_TRUE((x | x) == 0);
EXPECT_TRUE((x | a) == 0);
EXPECT_TRUE((x | b) == 0);
EXPECT_TRUE((x | c) == 0);
EXPECT_TRUE((x | d) == 0);
EXPECT_TRUE((a | x) == 0);
EXPECT_TRUE((b | x) == 0);
EXPECT_TRUE((c | x) == 0);
EXPECT_TRUE((d | x) == 0);
EXPECT_TRUE((x & x) == 0);
EXPECT_TRUE((x & a) == 0);
EXPECT_TRUE((x & b) == 0);
EXPECT_TRUE((x & c) == 0);
EXPECT_TRUE((x & d) == 0);
EXPECT_TRUE((a & x) == 0);
EXPECT_TRUE((b & x) == 0);
EXPECT_TRUE((c & x) == 0);
EXPECT_TRUE((d & x) == 0);
EXPECT_TRUE((x ^ x) == 0);
EXPECT_TRUE((x ^ a) == 0);
EXPECT_TRUE((x ^ b) == 0);
EXPECT_TRUE((x ^ c) == 0);
EXPECT_TRUE((x ^ d) == 0);
EXPECT_TRUE((a ^ x) == 0);
EXPECT_TRUE((b ^ x) == 0);
EXPECT_TRUE((c ^ x) == 0);
EXPECT_TRUE((d ^ x) == 0);
}
TYPED_TEST(uint_api, comparison)
{
auto a = int{3};
auto b = uint64_t{5};
auto c = uint128{7};
auto d = uint256{11};
auto x = TypeParam{};
EXPECT_FALSE(x == a);
EXPECT_FALSE(a == x);
EXPECT_FALSE(x == b);
EXPECT_FALSE(b == x);
EXPECT_FALSE(x == c);
EXPECT_FALSE(c == x);
EXPECT_FALSE(x == d);
EXPECT_FALSE(d == x);
EXPECT_FALSE(x != x);
EXPECT_TRUE(x != a);
EXPECT_TRUE(a != x);
EXPECT_TRUE(x != b);
EXPECT_TRUE(b != x);
EXPECT_TRUE(x != c);
EXPECT_TRUE(c != x);
EXPECT_TRUE(x != d);
EXPECT_TRUE(d != x);
EXPECT_FALSE(x < x);
EXPECT_TRUE(x < a);
EXPECT_TRUE(x < b);
EXPECT_TRUE(x < c);
EXPECT_TRUE(x < d);
EXPECT_FALSE(a < x);
EXPECT_FALSE(b < x);
EXPECT_FALSE(c < x);
EXPECT_FALSE(d < x);
EXPECT_FALSE(x > x);
EXPECT_FALSE(x > a);
EXPECT_FALSE(x > b);
EXPECT_FALSE(x > c);
EXPECT_FALSE(x > d);
EXPECT_TRUE(a > x);
EXPECT_TRUE(b > x);
EXPECT_TRUE(c > x);
EXPECT_TRUE(d > x);
EXPECT_TRUE(x <= x);
EXPECT_TRUE(x <= a);
EXPECT_TRUE(x <= b);
EXPECT_TRUE(x <= c);
EXPECT_TRUE(x <= d);
EXPECT_FALSE(a <= x);
EXPECT_FALSE(b <= x);
EXPECT_FALSE(c <= x);
EXPECT_FALSE(d <= x);
EXPECT_TRUE(x >= x);
EXPECT_FALSE(x >= a);
EXPECT_FALSE(x >= b);
EXPECT_FALSE(x >= c);
EXPECT_FALSE(x >= d);
EXPECT_TRUE(a >= x);
EXPECT_TRUE(b >= x);
EXPECT_TRUE(c >= x);
EXPECT_TRUE(d >= x);
}
TYPED_TEST(uint_api, arithmetic_op_assignment)
{
auto x = TypeParam{};
EXPECT_EQ(x += 11, 11);
EXPECT_EQ(x -= 4, 7);
EXPECT_EQ(x *= 2, 14);
EXPECT_EQ(x %= 8, 6);
EXPECT_EQ(x /= 3, 2);
EXPECT_EQ(x += x, 4);
EXPECT_EQ(x -= x, 0);
EXPECT_EQ(x += uint128{3}, 3);
EXPECT_EQ(x *= 3u, 9);
EXPECT_EQ(x /= x, 1);
EXPECT_EQ(x %= x, 0);
}
TYPED_TEST(uint_api, bitwise_op_assignment)
{
auto x = TypeParam{};
EXPECT_EQ(x |= 0b1011, 0b1011);
EXPECT_EQ(x &= 0b0110, 0b0010);
EXPECT_EQ(x ^= 0b1110, 0b1100);
EXPECT_EQ(x >>= 2, 0b0011);
EXPECT_EQ(x <<= 1, 0b0110);
x = 0;
EXPECT_EQ(x |= uint128{0b1011}, 0b1011);
EXPECT_EQ(x &= uint128{0b0110}, 0b0010);
EXPECT_EQ(x ^= uint128{0b1110}, 0b1100);
EXPECT_EQ(x >>= uint128{2}, 0b0011);
EXPECT_EQ(x <<= uint128{1}, 0b0110);
EXPECT_EQ(x |= x, x);
EXPECT_EQ(x &= x, x);
EXPECT_EQ(x ^= x, 0);
EXPECT_EQ(x |= 1, 1);
EXPECT_EQ(x <<= x, 2);
EXPECT_EQ(x >>= x, 0);
}
TYPED_TEST(uint_api, explicit_conversion_to_smaller_uint)
{
if constexpr (TypeParam::num_bits > 128)
{
using SmallerType = intx::uint<TypeParam::num_bits - 64>;
static_assert(static_cast<SmallerType>(TypeParam{1}) == 1);
TypeParam x;
for (size_t i = 0; i < TypeParam::num_words; ++i)
x[i] = i + 1;
const auto smaller = static_cast<SmallerType>(x);
for (size_t i = 0; i < SmallerType::num_words; ++i)
{
EXPECT_EQ(smaller[i], i + 1);
}
}
}
TYPED_TEST(uint_api, explicit_conversion_to_integral_type)
{
static_assert(
static_cast<uint32_t>(TypeParam{0x0102030405060708, 0xffffffffffffffff}) == 0x05060708);
TypeParam x;
x[0] = 3;
x[1] = 0xffffffffffffffff;
TypeParam y;
y[0] = 0xfffffffffffffffe;
y[1] = 0xffffffffffffffff;
EXPECT_EQ(static_cast<signed char>(x), 3);
EXPECT_EQ(static_cast<signed char>(y), -2);
EXPECT_EQ(static_cast<unsigned char>(x), 3);
EXPECT_EQ(static_cast<unsigned char>(y), 0xfe);
EXPECT_EQ(static_cast<signed short>(x), 3);
EXPECT_EQ(static_cast<signed short>(y), -2);
EXPECT_EQ(static_cast<unsigned short>(x), 3);
EXPECT_EQ(static_cast<unsigned short>(y), 0xfffe);
EXPECT_EQ(static_cast<signed int>(x), 3);
EXPECT_EQ(static_cast<signed int>(y), -2);
EXPECT_EQ(static_cast<unsigned int>(x), 3u);
EXPECT_EQ(static_cast<unsigned int>(y), 0xfffffffe);
EXPECT_EQ(static_cast<signed long>(x), 3);
EXPECT_EQ(static_cast<signed long>(y), -2);
EXPECT_EQ(static_cast<unsigned long>(x), 3u);
EXPECT_EQ(static_cast<unsigned long>(y), std::numeric_limits<unsigned long>::max() - 1);
EXPECT_EQ(static_cast<signed long long>(x), 3);
EXPECT_EQ(static_cast<signed long long>(y), -2);
EXPECT_EQ(static_cast<unsigned long long>(x), 3u);
EXPECT_EQ(static_cast<unsigned long long>(y), 0xfffffffffffffffe);
}