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1 // Copyright (c) 2012 The Chromium Authors. All rights reserved.
2 // Use of this source code is governed by a BSD-style license that can be
3 // found in the LICENSE file.
4 
5 #include "base/basictypes.h"
6 #include "base/logging.h"
7 #include "net/base/int128.h"
8 #include "testing/gtest/include/gtest/gtest.h"
9 
10 
TEST(Int128,AllTests)11 TEST(Int128, AllTests) {
12   uint128 zero(0);
13   uint128 one(1);
14   uint128 one_2arg(0, 1);
15   uint128 two(0, 2);
16   uint128 three(0, 3);
17   uint128 big(2000, 2);
18   uint128 big_minus_one(2000, 1);
19   uint128 bigger(2001, 1);
20   uint128 biggest(kuint128max);
21   uint128 high_low(1, 0);
22   uint128 low_high(0, kuint64max);
23   EXPECT_LT(one, two);
24   EXPECT_GT(two, one);
25   EXPECT_LT(one, big);
26   EXPECT_LT(one, big);
27   EXPECT_EQ(one, one_2arg);
28   EXPECT_NE(one, two);
29   EXPECT_GT(big, one);
30   EXPECT_GE(big, two);
31   EXPECT_GE(big, big_minus_one);
32   EXPECT_GT(big, big_minus_one);
33   EXPECT_LT(big_minus_one, big);
34   EXPECT_LE(big_minus_one, big);
35   EXPECT_NE(big_minus_one, big);
36   EXPECT_LT(big, biggest);
37   EXPECT_LE(big, biggest);
38   EXPECT_GT(biggest, big);
39   EXPECT_GE(biggest, big);
40   EXPECT_EQ(big, ~~big);
41   EXPECT_EQ(one, one | one);
42   EXPECT_EQ(big, big | big);
43   EXPECT_EQ(one, one | zero);
44   EXPECT_EQ(one, one & one);
45   EXPECT_EQ(big, big & big);
46   EXPECT_EQ(zero, one & zero);
47   EXPECT_EQ(zero, big & ~big);
48   EXPECT_EQ(zero, one ^ one);
49   EXPECT_EQ(zero, big ^ big);
50   EXPECT_EQ(one, one ^ zero);
51   EXPECT_EQ(big, big << 0);
52   EXPECT_EQ(big, big >> 0);
53   EXPECT_GT(big << 1, big);
54   EXPECT_LT(big >> 1, big);
55   EXPECT_EQ(big, (big << 10) >> 10);
56   EXPECT_EQ(big, (big >> 1) << 1);
57   EXPECT_EQ(one, (one << 80) >> 80);
58   EXPECT_EQ(zero, (one >> 80) << 80);
59   EXPECT_EQ(zero, big >> 128);
60   EXPECT_EQ(zero, big << 128);
61   EXPECT_EQ(Uint128High64(biggest), kuint64max);
62   EXPECT_EQ(Uint128Low64(biggest), kuint64max);
63   EXPECT_EQ(zero + one, one);
64   EXPECT_EQ(one + one, two);
65   EXPECT_EQ(big_minus_one + one, big);
66   EXPECT_EQ(one - one, zero);
67   EXPECT_EQ(one - zero, one);
68   EXPECT_EQ(zero - one, biggest);
69   EXPECT_EQ(big - big, zero);
70   EXPECT_EQ(big - one, big_minus_one);
71   EXPECT_EQ(big + kuint64max, bigger);
72   EXPECT_EQ(biggest + 1, zero);
73   EXPECT_EQ(zero - 1, biggest);
74   EXPECT_EQ(high_low - one, low_high);
75   EXPECT_EQ(low_high + one, high_low);
76   EXPECT_EQ(Uint128High64((uint128(1) << 64) - 1), 0u);
77   EXPECT_EQ(Uint128Low64((uint128(1) << 64) - 1), kuint64max);
78   EXPECT_TRUE(!!one);
79   EXPECT_TRUE(!!high_low);
80   EXPECT_FALSE(!!zero);
81   EXPECT_FALSE(!one);
82   EXPECT_FALSE(!high_low);
83   EXPECT_TRUE(!zero);
84   EXPECT_TRUE(zero == 0);
85   EXPECT_FALSE(zero != 0);
86   EXPECT_FALSE(one == 0);
87   EXPECT_TRUE(one != 0);
88 
89   uint128 test = zero;
90   EXPECT_EQ(++test, one);
91   EXPECT_EQ(test, one);
92   EXPECT_EQ(test++, one);
93   EXPECT_EQ(test, two);
94   EXPECT_EQ(test -= 2, zero);
95   EXPECT_EQ(test, zero);
96   EXPECT_EQ(test += 2, two);
97   EXPECT_EQ(test, two);
98   EXPECT_EQ(--test, one);
99   EXPECT_EQ(test, one);
100   EXPECT_EQ(test--, one);
101   EXPECT_EQ(test, zero);
102   EXPECT_EQ(test |= three, three);
103   EXPECT_EQ(test &= one, one);
104   EXPECT_EQ(test ^= three, two);
105   EXPECT_EQ(test >>= 1, one);
106   EXPECT_EQ(test <<= 1, two);
107 
108   EXPECT_EQ(big, -(-big));
109   EXPECT_EQ(two, -((-one) - 1));
110   EXPECT_EQ(kuint128max, -one);
111   EXPECT_EQ(zero, -zero);
112 
113   LOG(INFO) << one;
114   LOG(INFO) << big_minus_one;
115 }
116 
TEST(Int128,PodTests)117 TEST(Int128, PodTests) {
118   uint128_pod pod = { 12345, 67890 };
119   uint128 from_pod(pod);
120   EXPECT_EQ(12345u, Uint128High64(from_pod));
121   EXPECT_EQ(67890u, Uint128Low64(from_pod));
122 
123   uint128 zero(0);
124   uint128_pod zero_pod = {0, 0};
125   uint128 one(1);
126   uint128_pod one_pod = {0, 1};
127   uint128 two(2);
128   uint128_pod two_pod = {0, 2};
129   uint128 three(3);
130   uint128_pod three_pod = {0, 3};
131   uint128 big(1, 0);
132   uint128_pod big_pod = {1, 0};
133 
134   EXPECT_EQ(zero, zero_pod);
135   EXPECT_EQ(zero_pod, zero);
136   EXPECT_EQ(zero_pod, zero_pod);
137   EXPECT_EQ(one, one_pod);
138   EXPECT_EQ(one_pod, one);
139   EXPECT_EQ(one_pod, one_pod);
140   EXPECT_EQ(two, two_pod);
141   EXPECT_EQ(two_pod, two);
142   EXPECT_EQ(two_pod, two_pod);
143 
144   EXPECT_NE(one, two_pod);
145   EXPECT_NE(one_pod, two);
146   EXPECT_NE(one_pod, two_pod);
147 
148   EXPECT_LT(one, two_pod);
149   EXPECT_LT(one_pod, two);
150   EXPECT_LT(one_pod, two_pod);
151   EXPECT_LE(one, one_pod);
152   EXPECT_LE(one_pod, one);
153   EXPECT_LE(one_pod, one_pod);
154   EXPECT_LE(one, two_pod);
155   EXPECT_LE(one_pod, two);
156   EXPECT_LE(one_pod, two_pod);
157 
158   EXPECT_GT(two, one_pod);
159   EXPECT_GT(two_pod, one);
160   EXPECT_GT(two_pod, one_pod);
161   EXPECT_GE(two, two_pod);
162   EXPECT_GE(two_pod, two);
163   EXPECT_GE(two_pod, two_pod);
164   EXPECT_GE(two, one_pod);
165   EXPECT_GE(two_pod, one);
166   EXPECT_GE(two_pod, one_pod);
167 
168   EXPECT_EQ(three, one | two_pod);
169   EXPECT_EQ(three, one_pod | two);
170   EXPECT_EQ(three, one_pod | two_pod);
171   EXPECT_EQ(one, three & one_pod);
172   EXPECT_EQ(one, three_pod & one);
173   EXPECT_EQ(one, three_pod & one_pod);
174   EXPECT_EQ(two, three ^ one_pod);
175   EXPECT_EQ(two, three_pod ^ one);
176   EXPECT_EQ(two, three_pod ^ one_pod);
177   EXPECT_EQ(two, three & (~one));
178   EXPECT_EQ(three, ~~three);
179 
180   EXPECT_EQ(two, two_pod << 0);
181   EXPECT_EQ(two, one_pod << 1);
182   EXPECT_EQ(big, one_pod << 64);
183   EXPECT_EQ(zero, one_pod << 128);
184   EXPECT_EQ(two, two_pod >> 0);
185   EXPECT_EQ(one, two_pod >> 1);
186   EXPECT_EQ(one, big_pod >> 64);
187 
188   EXPECT_EQ(one, zero + one_pod);
189   EXPECT_EQ(one, zero_pod + one);
190   EXPECT_EQ(one, zero_pod + one_pod);
191   EXPECT_EQ(one, two - one_pod);
192   EXPECT_EQ(one, two_pod - one);
193   EXPECT_EQ(one, two_pod - one_pod);
194 }
195 
TEST(Int128,OperatorAssignReturnRef)196 TEST(Int128, OperatorAssignReturnRef) {
197   uint128 v(1);
198   (v += 4) -= 3;
199   EXPECT_EQ(2, v);
200 }
201 
TEST(Int128,Multiply)202 TEST(Int128, Multiply) {
203   uint128 a, b, c;
204 
205   // Zero test.
206   a = 0;
207   b = 0;
208   c = a * b;
209   EXPECT_EQ(0, c);
210 
211   // Max carries.
212   a = uint128(0) - 1;
213   b = uint128(0) - 1;
214   c = a * b;
215   EXPECT_EQ(1, c);
216 
217   // Self-operation with max carries.
218   c = uint128(0) - 1;
219   c *= c;
220   EXPECT_EQ(1, c);
221 
222   // 1-bit x 1-bit.
223   for (int i = 0; i < 64; ++i) {
224     for (int j = 0; j < 64; ++j) {
225       a = uint128(1) << i;
226       b = uint128(1) << j;
227       c = a * b;
228       EXPECT_EQ(uint128(1) << (i+j), c);
229     }
230   }
231 
232   // Verified with dc.
233   a = uint128(GG_ULONGLONG(0xffffeeeeddddcccc),
234               GG_ULONGLONG(0xbbbbaaaa99998888));
235   b = uint128(GG_ULONGLONG(0x7777666655554444),
236               GG_ULONGLONG(0x3333222211110000));
237   c = a * b;
238   EXPECT_EQ(uint128(GG_ULONGLONG(0x530EDA741C71D4C3),
239                     GG_ULONGLONG(0xBF25975319080000)), c);
240   EXPECT_EQ(0, c - b * a);
241   EXPECT_EQ(a*a - b*b, (a+b) * (a-b));
242 
243   // Verified with dc.
244   a = uint128(GG_ULONGLONG(0x0123456789abcdef),
245               GG_ULONGLONG(0xfedcba9876543210));
246   b = uint128(GG_ULONGLONG(0x02468ace13579bdf),
247               GG_ULONGLONG(0xfdb97531eca86420));
248   c = a * b;
249   EXPECT_EQ(uint128(GG_ULONGLONG(0x97a87f4f261ba3f2),
250                     GG_ULONGLONG(0x342d0bbf48948200)), c);
251   EXPECT_EQ(0, c - b * a);
252   EXPECT_EQ(a*a - b*b, (a+b) * (a-b));
253 }
254 
TEST(Int128,AliasTests)255 TEST(Int128, AliasTests) {
256   uint128 x1(1, 2);
257   uint128 x2(2, 4);
258   x1 += x1;
259   EXPECT_EQ(x2, x1);
260 
261   uint128 x3(1, 1ull << 63);
262   uint128 x4(3, 0);
263   x3 += x3;
264   EXPECT_EQ(x4, x3);
265 }
266