1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
|
// Copyright (c) 2012 The Chromium Authors. All rights reserved.
// Use of this source code is governed by a BSD-style license that can be
// found in the LICENSE file.
#include "base/basictypes.h"
#include "base/logging.h"
#include "net/base/int128.h"
#include "testing/gtest/include/gtest/gtest.h"
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);
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);
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), 0u);
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);
LOG(INFO) << one;
LOG(INFO) << big_minus_one;
}
TEST(Int128, PodTests) {
uint128_pod pod = { 12345, 67890 };
uint128 from_pod(pod);
EXPECT_EQ(12345u, Uint128High64(from_pod));
EXPECT_EQ(67890u, 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(GG_ULONGLONG(0xffffeeeeddddcccc),
GG_ULONGLONG(0xbbbbaaaa99998888));
b = uint128(GG_ULONGLONG(0x7777666655554444),
GG_ULONGLONG(0x3333222211110000));
c = a * b;
EXPECT_EQ(uint128(GG_ULONGLONG(0x530EDA741C71D4C3),
GG_ULONGLONG(0xBF25975319080000)), c);
EXPECT_EQ(0, c - b * a);
EXPECT_EQ(a*a - b*b, (a+b) * (a-b));
// Verified with dc.
a = uint128(GG_ULONGLONG(0x0123456789abcdef),
GG_ULONGLONG(0xfedcba9876543210));
b = uint128(GG_ULONGLONG(0x02468ace13579bdf),
GG_ULONGLONG(0xfdb97531eca86420));
c = a * b;
EXPECT_EQ(uint128(GG_ULONGLONG(0x97a87f4f261ba3f2),
GG_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, 1ull << 63);
uint128 x4(3, 0);
x3 += x3;
EXPECT_EQ(x4, x3);
}
|
