// Protocol Buffers - Google's data interchange format
// Copyright 2008 Google Inc. All rights reserved.
// https://developers.google.com/protocol-buffers/
//
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// modification, are permitted provided that the following conditions are
// met:
//
// * Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
// * 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.
// * Neither the name of Google Inc. nor the names of its
// contributors may be used to endorse or promote products derived from
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//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#include <google/protobuf/stubs/int128.h>
#include <algorithm>
#include <sstream>
#include <utility>
#include <google/protobuf/testing/googletest.h>
#include <gtest/gtest.h>
namespace google {
namespace protobuf {
TEST(Int128, AllTests) {
uint128 zero(0);
uint128 one(1);
uint128 one_2arg(0, 1);
uint128 two(0, 2);
uint128 three(0, 3);
uint128 big(2000, 2);
uint128 big_minus_one(2000, 1);
uint128 bigger(2001, 1);
uint128 biggest(kuint128max);
uint128 high_low(1, 0);
uint128 low_high(0, kuint64max);
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);
EXPECT_EQ(zero, big >> 128);
EXPECT_EQ(zero, big << 128);
// Shift assignments.
uint128 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);
big_copy = big;
EXPECT_EQ(big << 128, big_copy <<= 128);
big_copy = big;
EXPECT_EQ(big >> 128, big_copy >>= 128);
EXPECT_EQ(Uint128High64(biggest), kuint64max);
EXPECT_EQ(Uint128Low64(biggest), kuint64max);
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 + kuint64max, 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(Uint128High64((uint128(1) << 64) - 1), 0);
EXPECT_EQ(Uint128Low64((uint128(1) << 64) - 1), kuint64max);
EXPECT_TRUE(!!one);
EXPECT_TRUE(!!high_low);
EXPECT_FALSE(!!zero);
EXPECT_FALSE(!one);
EXPECT_FALSE(!high_low);
EXPECT_TRUE(!zero);
EXPECT_TRUE(zero == 0);
EXPECT_FALSE(zero != 0);
EXPECT_FALSE(one == 0);
EXPECT_TRUE(one != 0);
uint128 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, -((-one) - 1));
EXPECT_EQ(kuint128max, -one);
EXPECT_EQ(zero, -zero);
GOOGLE_LOG(INFO) << one;
GOOGLE_LOG(INFO) << big_minus_one;
}
TEST(Int128, PodTests) {
uint128_pod pod = { 12345, 67890 };
uint128 from_pod(pod);
EXPECT_EQ(12345, Uint128High64(from_pod));
EXPECT_EQ(67890, Uint128Low64(from_pod));
uint128 zero(0);
uint128_pod zero_pod = {0, 0};
uint128 one(1);
uint128_pod one_pod = {0, 1};
uint128 two(2);
uint128_pod two_pod = {0, 2};
uint128 three(3);
uint128_pod three_pod = {0, 3};
uint128 big(1, 0);
uint128_pod big_pod = {1, 0};
EXPECT_EQ(zero, zero_pod);
EXPECT_EQ(zero_pod, zero);
EXPECT_EQ(zero_pod, zero_pod);
EXPECT_EQ(one, one_pod);
EXPECT_EQ(one_pod, one);
EXPECT_EQ(one_pod, one_pod);
EXPECT_EQ(two, two_pod);
EXPECT_EQ(two_pod, two);
EXPECT_EQ(two_pod, two_pod);
EXPECT_NE(one, two_pod);
EXPECT_NE(one_pod, two);
EXPECT_NE(one_pod, two_pod);
EXPECT_LT(one, two_pod);
EXPECT_LT(one_pod, two);
EXPECT_LT(one_pod, two_pod);
EXPECT_LE(one, one_pod);
EXPECT_LE(one_pod, one);
EXPECT_LE(one_pod, one_pod);
EXPECT_LE(one, two_pod);
EXPECT_LE(one_pod, two);
EXPECT_LE(one_pod, two_pod);
EXPECT_GT(two, one_pod);
EXPECT_GT(two_pod, one);
EXPECT_GT(two_pod, one_pod);
EXPECT_GE(two, two_pod);
EXPECT_GE(two_pod, two);
EXPECT_GE(two_pod, two_pod);
EXPECT_GE(two, one_pod);
EXPECT_GE(two_pod, one);
EXPECT_GE(two_pod, one_pod);
EXPECT_EQ(three, one | two_pod);
EXPECT_EQ(three, one_pod | two);
EXPECT_EQ(three, one_pod | two_pod);
EXPECT_EQ(one, three & one_pod);
EXPECT_EQ(one, three_pod & one);
EXPECT_EQ(one, three_pod & one_pod);
EXPECT_EQ(two, three ^ one_pod);
EXPECT_EQ(two, three_pod ^ one);
EXPECT_EQ(two, three_pod ^ one_pod);
EXPECT_EQ(two, three & (~one));
EXPECT_EQ(three, ~~three);
EXPECT_EQ(two, two_pod << 0);
EXPECT_EQ(two, one_pod << 1);
EXPECT_EQ(big, one_pod << 64);
EXPECT_EQ(zero, one_pod << 128);
EXPECT_EQ(two, two_pod >> 0);
EXPECT_EQ(one, two_pod >> 1);
EXPECT_EQ(one, big_pod >> 64);
EXPECT_EQ(one, zero + one_pod);
EXPECT_EQ(one, zero_pod + one);
EXPECT_EQ(one, zero_pod + one_pod);
EXPECT_EQ(one, two - one_pod);
EXPECT_EQ(one, two_pod - one);
EXPECT_EQ(one, two_pod - one_pod);
}
TEST(Int128, OperatorAssignReturnRef) {
uint128 v(1);
(v += 4) -= 3;
EXPECT_EQ(2, v);
}
TEST(Int128, Multiply) {
uint128 a, b, c;
// Zero test.
a = 0;
b = 0;
c = a * b;
EXPECT_EQ(0, c);
// Max carries.
a = uint128(0) - 1;
b = uint128(0) - 1;
c = a * b;
EXPECT_EQ(1, c);
// Self-operation with max carries.
c = uint128(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 = uint128(1) << i;
b = uint128(1) << j;
c = a * b;
EXPECT_EQ(uint128(1) << (i+j), c);
}
}
// Verified with dc.
a = uint128(GOOGLE_ULONGLONG(0xffffeeeeddddcccc),
GOOGLE_ULONGLONG(0xbbbbaaaa99998888));
b = uint128(GOOGLE_ULONGLONG(0x7777666655554444),
GOOGLE_ULONGLONG(0x3333222211110000));
c = a * b;
EXPECT_EQ(uint128(GOOGLE_ULONGLONG(0x530EDA741C71D4C3),
GOOGLE_ULONGLONG(0xBF25975319080000)), c);
EXPECT_EQ(0, c - b * a);
EXPECT_EQ(a*a - b*b, (a+b) * (a-b));
// Verified with dc.
a = uint128(GOOGLE_ULONGLONG(0x0123456789abcdef),
GOOGLE_ULONGLONG(0xfedcba9876543210));
b = uint128(GOOGLE_ULONGLONG(0x02468ace13579bdf),
GOOGLE_ULONGLONG(0xfdb97531eca86420));
c = a * b;
EXPECT_EQ(uint128(GOOGLE_ULONGLONG(0x97a87f4f261ba3f2),
GOOGLE_ULONGLONG(0x342d0bbf48948200)), c);
EXPECT_EQ(0, c - b * a);
EXPECT_EQ(a*a - b*b, (a+b) * (a-b));
}
TEST(Int128, AliasTests) {
uint128 x1(1, 2);
uint128 x2(2, 4);
x1 += x1;
EXPECT_EQ(x2, x1);
uint128 x3(1, static_cast<uint64>(1) << 63);
uint128 x4(3, 0);
x3 += x3;
EXPECT_EQ(x4, x3);
}
#ifdef PROTOBUF_HAS_DEATH_TEST
TEST(Int128, DivideByZeroCheckFails) {
uint128 a = 0;
uint128 b = 0;
EXPECT_DEATH(a / b, "Division or mod by zero:");
a = 123;
EXPECT_DEATH(a / b, "Division or mod by zero:");
}
TEST(Int128, ModByZeroCheckFails) {
uint128 a = 0;
uint128 b = 0;
EXPECT_DEATH(a % b, "Division or mod by zero:");
a = 123;
EXPECT_DEATH(a % b, "Division or mod by zero:");
}
#endif // PROTOBUF_HAS_DEATH_TEST
TEST(Int128, DivideAndMod) {
// a := q * b + r
uint128 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 = uint128(GOOGLE_ULONGLONG(0x530eda741c71d4c3),
GOOGLE_ULONGLONG(0xbf25975319080000));
q = uint128(GOOGLE_ULONGLONG(0x4de2cab081),
GOOGLE_ULONGLONG(0x14c34ab4676e4bab));
b = uint128(0x1110001);
r = uint128(0x3eb455);
ASSERT_EQ(a, q * b + r); // Sanity-check.
uint128 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.
std::swap(q, b);
result_q = a / b;
result_r = a % b;
EXPECT_EQ(q, result_q);
EXPECT_EQ(r, result_r);
// Restore.
std::swap(b, q);
// Dividend < divisor; result should be q:0 r:<dividend>.
std::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.
std::swap(a, q);
result_q = a / b;
result_r = a % b;
EXPECT_EQ(0, result_q);
EXPECT_EQ(a, result_r);
// Restore.
std::swap(q, a);
std::swap(b, a);
// Try a large remainder.
b = a / 2 + 1;
uint128 expected_r(GOOGLE_ULONGLONG(0x29876d3a0e38ea61),
GOOGLE_ULONGLONG(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);
}
static uint64 RandomUint64() {
uint64 v1 = rand();
uint64 v2 = rand();
uint64 v3 = rand();
return v1 * v2 + v3;
}
TEST(Int128, DivideAndModRandomInputs) {
const int kNumIters = 1 << 18;
for (int i = 0; i < kNumIters; ++i) {
const uint128 a(RandomUint64(), RandomUint64());
const uint128 b(RandomUint64(), RandomUint64());
if (b == 0) {
continue; // Avoid a div-by-zero.
}
const uint128 q = a / b;
const uint128 r = a % b;
ASSERT_EQ(a, b * q + r);
}
}
#ifdef GOOGLE_PROTOBUF_HAS_CONSTEXPR
TEST(Int128, ConstexprTest) {
constexpr uint128 zero;
constexpr uint128 one = 1;
constexpr uint128_pod pod = {2, 3};
constexpr uint128 from_pod = pod;
constexpr uint128 minus_two = -2;
EXPECT_EQ(one, uint128(1));
EXPECT_EQ(from_pod, uint128(2, 3));
EXPECT_EQ(minus_two, uint128(-1ULL, -2ULL));
}
TEST(Int128, Traits) {
EXPECT_TRUE(std::is_trivially_copy_constructible<uint128>::value);
EXPECT_TRUE(std::is_trivially_copy_assignable<uint128>::value);
EXPECT_TRUE(std::is_trivially_destructible<uint128>::value);
}
#endif // GOOGLE_PROTOBUF_HAS_CONSTEXPR
TEST(Int128, OStream) {
struct {
uint128 val;
std::ios_base::fmtflags flags;
std::streamsize width;
char fill;
const char* rep;
} cases[] = {
// zero with different bases
{uint128(0), std::ios::dec, 0, '_', "0"},
{uint128(0), std::ios::oct, 0, '_', "0"},
{uint128(0), std::ios::hex, 0, '_', "0"},
// crossover between lo_ and hi_
{uint128(0, -1), std::ios::dec, 0, '_', "18446744073709551615"},
{uint128(0, -1), std::ios::oct, 0, '_', "1777777777777777777777"},
{uint128(0, -1), std::ios::hex, 0, '_', "ffffffffffffffff"},
{uint128(1, 0), std::ios::dec, 0, '_', "18446744073709551616"},
{uint128(1, 0), std::ios::oct, 0, '_', "2000000000000000000000"},
{uint128(1, 0), std::ios::hex, 0, '_', "10000000000000000"},
// just the top bit
{uint128(GOOGLE_ULONGLONG(0x8000000000000000), 0), std::ios::dec, 0, '_',
"170141183460469231731687303715884105728"},
{uint128(GOOGLE_ULONGLONG(0x8000000000000000), 0), std::ios::oct, 0, '_',
"2000000000000000000000000000000000000000000"},
{uint128(GOOGLE_ULONGLONG(0x8000000000000000), 0), std::ios::hex, 0, '_',
"80000000000000000000000000000000"},
// maximum uint128 value
{uint128(-1, -1), std::ios::dec, 0, '_',
"340282366920938463463374607431768211455"},
{uint128(-1, -1), std::ios::oct, 0, '_',
"3777777777777777777777777777777777777777777"},
{uint128(-1, -1), std::ios::hex, 0, '_',
"ffffffffffffffffffffffffffffffff"},
// uppercase
{uint128(-1, -1), std::ios::hex | std::ios::uppercase, 0, '_',
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"},
// showbase
{uint128(1), std::ios::dec | std::ios::showbase, 0, '_', "1"},
{uint128(1), std::ios::oct | std::ios::showbase, 0, '_', "01"},
{uint128(1), std::ios::hex | std::ios::showbase, 0, '_', "0x1"},
// showbase does nothing on zero
{uint128(0), std::ios::dec | std::ios::showbase, 0, '_', "0"},
{uint128(0), std::ios::oct | std::ios::showbase, 0, '_', "0"},
{uint128(0), std::ios::hex | std::ios::showbase, 0, '_', "0"},
// showpos does nothing on unsigned types
{uint128(1), std::ios::dec | std::ios::showpos, 0, '_', "1"},
// padding
{uint128(9), std::ios::dec, 6, '_', "_____9"},
{uint128(12345), std::ios::dec, 6, '_', "_12345"},
// left adjustment
{uint128(9), std::ios::dec | std::ios::left, 6, '_', "9_____"},
{uint128(12345), std::ios::dec | std::ios::left, 6, '_', "12345_"},
};
for (size_t i = 0; i < GOOGLE_ARRAYSIZE(cases); ++i) {
std::ostringstream os;
os.flags(cases[i].flags);
os.width(cases[i].width);
os.fill(cases[i].fill);
os << cases[i].val;
EXPECT_EQ(cases[i].rep, os.str());
}
}
} // namespace protobuf
} // namespace google
