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+// Protocol Buffers - Google's data interchange format
+// Copyright 2008 Google Inc. All rights reserved.
+// https://developers.google.com/protocol-buffers/
+//
+// Redistribution and use in source and binary forms, with or without
+// 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
+// this software without specific prior written permission.
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+// 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