1 // Copyright 2017 The Abseil Authors.
2 //
3 // Licensed under the Apache License, Version 2.0 (the "License");
4 // you may not use this file except in compliance with the License.
5 // You may obtain a copy of the License at
6 //
7 //      https://www.apache.org/licenses/LICENSE-2.0
8 //
9 // Unless required by applicable law or agreed to in writing, software
10 // distributed under the License is distributed on an "AS IS" BASIS,
11 // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
12 // See the License for the specific language governing permissions and
13 // limitations under the License.
14 
15 #include "absl/random/internal/wide_multiply.h"
16 
17 #include "gtest/gtest.h"
18 #include "absl/base/internal/bits.h"
19 #include "absl/numeric/int128.h"
20 
21 using absl::random_internal::MultiplyU64ToU128;
22 
23 namespace {
24 
TEST(WideMultiplyTest,MultiplyU64ToU128Test)25 TEST(WideMultiplyTest, MultiplyU64ToU128Test) {
26   constexpr uint64_t k1 = 1;
27   constexpr uint64_t kMax = ~static_cast<uint64_t>(0);
28 
29   EXPECT_EQ(absl::uint128(0), MultiplyU64ToU128(0, 0));
30 
31   // Max uint64_t
32   EXPECT_EQ(MultiplyU64ToU128(kMax, kMax),
33             absl::MakeUint128(0xfffffffffffffffe, 0x0000000000000001));
34   EXPECT_EQ(absl::MakeUint128(0, kMax), MultiplyU64ToU128(kMax, 1));
35   EXPECT_EQ(absl::MakeUint128(0, kMax), MultiplyU64ToU128(1, kMax));
36   for (int i = 0; i < 64; ++i) {
37     EXPECT_EQ(absl::MakeUint128(0, kMax) << i,
38               MultiplyU64ToU128(kMax, k1 << i));
39     EXPECT_EQ(absl::MakeUint128(0, kMax) << i,
40               MultiplyU64ToU128(k1 << i, kMax));
41   }
42 
43   // 1-bit x 1-bit.
44   for (int i = 0; i < 64; ++i) {
45     for (int j = 0; j < 64; ++j) {
46       EXPECT_EQ(absl::MakeUint128(0, 1) << (i + j),
47                 MultiplyU64ToU128(k1 << i, k1 << j));
48       EXPECT_EQ(absl::MakeUint128(0, 1) << (i + j),
49                 MultiplyU64ToU128(k1 << i, k1 << j));
50     }
51   }
52 
53   // Verified multiplies
54   EXPECT_EQ(MultiplyU64ToU128(0xffffeeeeddddcccc, 0xbbbbaaaa99998888),
55             absl::MakeUint128(0xbbbb9e2692c5dddc, 0xc28f7531048d2c60));
56   EXPECT_EQ(MultiplyU64ToU128(0x0123456789abcdef, 0xfedcba9876543210),
57             absl::MakeUint128(0x0121fa00ad77d742, 0x2236d88fe5618cf0));
58   EXPECT_EQ(MultiplyU64ToU128(0x0123456789abcdef, 0xfdb97531eca86420),
59             absl::MakeUint128(0x0120ae99d26725fc, 0xce197f0ecac319e0));
60   EXPECT_EQ(MultiplyU64ToU128(0x97a87f4f261ba3f2, 0xfedcba9876543210),
61             absl::MakeUint128(0x96fbf1a8ae78d0ba, 0x5a6dd4b71f278320));
62   EXPECT_EQ(MultiplyU64ToU128(0xfedcba9876543210, 0xfdb97531eca86420),
63             absl::MakeUint128(0xfc98c6981a413e22, 0x342d0bbf48948200));
64 }
65 
66 }  // namespace
67