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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 
     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 
    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 
    196 TEST(Int128, OperatorAssignReturnRef) {
    197   uint128 v(1);
    198   (v += 4) -= 3;
    199   EXPECT_EQ(2, v);
    200 }
    201 
    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 
    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