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      1 // Copyright 2010 the V8 project authors. All rights reserved.
      2 // Redistribution and use in source and binary forms, with or without
      3 // modification, are permitted provided that the following conditions are
      4 // met:
      5 //
      6 //     * Redistributions of source code must retain the above copyright
      7 //       notice, this list of conditions and the following disclaimer.
      8 //     * Redistributions in binary form must reproduce the above
      9 //       copyright notice, this list of conditions and the following
     10 //       disclaimer in the documentation and/or other materials provided
     11 //       with the distribution.
     12 //     * Neither the name of Google Inc. nor the names of its
     13 //       contributors may be used to endorse or promote products derived
     14 //       from this software without specific prior written permission.
     15 //
     16 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
     17 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
     18 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
     19 // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
     20 // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
     21 // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
     22 // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
     23 // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
     24 // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
     25 // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
     26 // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
     27 
     28 #include <stdlib.h>
     29 
     30 #include "v8.h"
     31 
     32 #include "platform.h"
     33 #include "cctest.h"
     34 #include "bignum.h"
     35 
     36 using namespace v8::internal;
     37 
     38 
     39 static const int kBufferSize = 1024;
     40 
     41 static void AssignHexString(Bignum* bignum, const char* str) {
     42   bignum->AssignHexString(Vector<const char>(str, StrLength(str)));
     43 }
     44 
     45 
     46 static void AssignDecimalString(Bignum* bignum, const char* str) {
     47   bignum->AssignDecimalString(Vector<const char>(str, StrLength(str)));
     48 }
     49 
     50 
     51 TEST(Assign) {
     52   char buffer[kBufferSize];
     53   Bignum bignum;
     54   Bignum bignum2;
     55   bignum.AssignUInt16(0);
     56   CHECK(bignum.ToHexString(buffer, kBufferSize));
     57   CHECK_EQ("0", buffer);
     58   bignum.AssignUInt16(0xA);
     59   CHECK(bignum.ToHexString(buffer, kBufferSize));
     60   CHECK_EQ("A", buffer);
     61   bignum.AssignUInt16(0x20);
     62   CHECK(bignum.ToHexString(buffer, kBufferSize));
     63   CHECK_EQ("20", buffer);
     64 
     65 
     66   bignum.AssignUInt64(0);
     67   CHECK(bignum.ToHexString(buffer, kBufferSize));
     68   CHECK_EQ("0", buffer);
     69   bignum.AssignUInt64(0xA);
     70   CHECK(bignum.ToHexString(buffer, kBufferSize));
     71   CHECK_EQ("A", buffer);
     72   bignum.AssignUInt64(0x20);
     73   CHECK(bignum.ToHexString(buffer, kBufferSize));
     74   CHECK_EQ("20", buffer);
     75   bignum.AssignUInt64(0x100);
     76   CHECK(bignum.ToHexString(buffer, kBufferSize));
     77   CHECK_EQ("100", buffer);
     78 
     79   // The first real test, since this will not fit into one bigit.
     80   bignum.AssignUInt64(0x12345678);
     81   CHECK(bignum.ToHexString(buffer, kBufferSize));
     82   CHECK_EQ("12345678", buffer);
     83 
     84   uint64_t big = V8_2PART_UINT64_C(0xFFFFFFFF, FFFFFFFF);
     85   bignum.AssignUInt64(big);
     86   CHECK(bignum.ToHexString(buffer, kBufferSize));
     87   CHECK_EQ("FFFFFFFFFFFFFFFF", buffer);
     88 
     89   big = V8_2PART_UINT64_C(0x12345678, 9ABCDEF0);
     90   bignum.AssignUInt64(big);
     91   CHECK(bignum.ToHexString(buffer, kBufferSize));
     92   CHECK_EQ("123456789ABCDEF0", buffer);
     93 
     94   bignum2.AssignBignum(bignum);
     95   CHECK(bignum2.ToHexString(buffer, kBufferSize));
     96   CHECK_EQ("123456789ABCDEF0", buffer);
     97 
     98   AssignDecimalString(&bignum, "0");
     99   CHECK(bignum.ToHexString(buffer, kBufferSize));
    100   CHECK_EQ("0", buffer);
    101 
    102   AssignDecimalString(&bignum, "1");
    103   CHECK(bignum.ToHexString(buffer, kBufferSize));
    104   CHECK_EQ("1", buffer);
    105 
    106   AssignDecimalString(&bignum, "1234567890");
    107   CHECK(bignum.ToHexString(buffer, kBufferSize));
    108   CHECK_EQ("499602D2", buffer);
    109 
    110   AssignHexString(&bignum, "0");
    111   CHECK(bignum.ToHexString(buffer, kBufferSize));
    112   CHECK_EQ("0", buffer);
    113 
    114   AssignHexString(&bignum, "123456789ABCDEF0");
    115   CHECK(bignum.ToHexString(buffer, kBufferSize));
    116   CHECK_EQ("123456789ABCDEF0", buffer);
    117 }
    118 
    119 
    120 TEST(ShiftLeft) {
    121   char buffer[kBufferSize];
    122   Bignum bignum;
    123   AssignHexString(&bignum, "0");
    124   bignum.ShiftLeft(100);
    125   CHECK(bignum.ToHexString(buffer, kBufferSize));
    126   CHECK_EQ("0", buffer);
    127 
    128   AssignHexString(&bignum, "1");
    129   bignum.ShiftLeft(1);
    130   CHECK(bignum.ToHexString(buffer, kBufferSize));
    131   CHECK_EQ("2", buffer);
    132 
    133   AssignHexString(&bignum, "1");
    134   bignum.ShiftLeft(4);
    135   CHECK(bignum.ToHexString(buffer, kBufferSize));
    136   CHECK_EQ("10", buffer);
    137 
    138   AssignHexString(&bignum, "1");
    139   bignum.ShiftLeft(32);
    140   CHECK(bignum.ToHexString(buffer, kBufferSize));
    141   CHECK_EQ("100000000", buffer);
    142 
    143   AssignHexString(&bignum, "1");
    144   bignum.ShiftLeft(64);
    145   CHECK(bignum.ToHexString(buffer, kBufferSize));
    146   CHECK_EQ("10000000000000000", buffer);
    147 
    148   AssignHexString(&bignum, "123456789ABCDEF");
    149   bignum.ShiftLeft(64);
    150   CHECK(bignum.ToHexString(buffer, kBufferSize));
    151   CHECK_EQ("123456789ABCDEF0000000000000000", buffer);
    152   bignum.ShiftLeft(1);
    153   CHECK(bignum.ToHexString(buffer, kBufferSize));
    154   CHECK_EQ("2468ACF13579BDE0000000000000000", buffer);
    155 }
    156 
    157 
    158 TEST(AddUInt64) {
    159   char buffer[kBufferSize];
    160   Bignum bignum;
    161   AssignHexString(&bignum, "0");
    162   bignum.AddUInt64(0xA);
    163   CHECK(bignum.ToHexString(buffer, kBufferSize));
    164   CHECK_EQ("A", buffer);
    165 
    166   AssignHexString(&bignum, "1");
    167   bignum.AddUInt64(0xA);
    168   CHECK(bignum.ToHexString(buffer, kBufferSize));
    169   CHECK_EQ("B", buffer);
    170 
    171   AssignHexString(&bignum, "1");
    172   bignum.AddUInt64(0x100);
    173   CHECK(bignum.ToHexString(buffer, kBufferSize));
    174   CHECK_EQ("101", buffer);
    175 
    176   AssignHexString(&bignum, "1");
    177   bignum.AddUInt64(0xFFFF);
    178   CHECK(bignum.ToHexString(buffer, kBufferSize));
    179   CHECK_EQ("10000", buffer);
    180 
    181   AssignHexString(&bignum, "FFFFFFF");
    182   bignum.AddUInt64(0x1);
    183   CHECK(bignum.ToHexString(buffer, kBufferSize));
    184   CHECK_EQ("10000000", buffer);
    185 
    186   AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
    187   bignum.AddUInt64(0xFFFF);
    188   CHECK(bignum.ToHexString(buffer, kBufferSize));
    189   CHECK_EQ("1000000000000000000000000000000000000000FFFF", buffer);
    190 
    191   AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
    192   bignum.AddUInt64(0x1);
    193   CHECK(bignum.ToHexString(buffer, kBufferSize));
    194   CHECK_EQ("100000000000000000000000000000000000000000000", buffer);
    195 
    196   bignum.AssignUInt16(0x1);
    197   bignum.ShiftLeft(100);
    198   bignum.AddUInt64(1);
    199   CHECK(bignum.ToHexString(buffer, kBufferSize));
    200   CHECK_EQ("10000000000000000000000001", buffer);
    201 
    202   bignum.AssignUInt16(0x1);
    203   bignum.ShiftLeft(100);
    204   bignum.AddUInt64(0xFFFF);
    205   CHECK(bignum.ToHexString(buffer, kBufferSize));
    206   CHECK_EQ("1000000000000000000000FFFF", buffer);
    207 
    208   AssignHexString(&bignum, "0");
    209   bignum.AddUInt64(V8_2PART_UINT64_C(0xA, 00000000));
    210   CHECK(bignum.ToHexString(buffer, kBufferSize));
    211   CHECK_EQ("A00000000", buffer);
    212 
    213   AssignHexString(&bignum, "1");
    214   bignum.AddUInt64(V8_2PART_UINT64_C(0xA, 00000000));
    215   CHECK(bignum.ToHexString(buffer, kBufferSize));
    216   CHECK_EQ("A00000001", buffer);
    217 
    218   AssignHexString(&bignum, "1");
    219   bignum.AddUInt64(V8_2PART_UINT64_C(0x100, 00000000));
    220   CHECK(bignum.ToHexString(buffer, kBufferSize));
    221   CHECK_EQ("10000000001", buffer);
    222 
    223   AssignHexString(&bignum, "1");
    224   bignum.AddUInt64(V8_2PART_UINT64_C(0xFFFF, 00000000));
    225   CHECK(bignum.ToHexString(buffer, kBufferSize));
    226   CHECK_EQ("FFFF00000001", buffer);
    227 
    228   AssignHexString(&bignum, "FFFFFFF");
    229   bignum.AddUInt64(V8_2PART_UINT64_C(0x1, 00000000));
    230   CHECK(bignum.ToHexString(buffer, kBufferSize));
    231   CHECK_EQ("10FFFFFFF", buffer);
    232 
    233   AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
    234   bignum.AddUInt64(V8_2PART_UINT64_C(0xFFFF, 00000000));
    235   CHECK(bignum.ToHexString(buffer, kBufferSize));
    236   CHECK_EQ("10000000000000000000000000000000FFFF00000000", buffer);
    237 
    238   AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
    239   bignum.AddUInt64(V8_2PART_UINT64_C(0x1, 00000000));
    240   CHECK(bignum.ToHexString(buffer, kBufferSize));
    241   CHECK_EQ("1000000000000000000000000000000000000FFFFFFFF", buffer);
    242 
    243   bignum.AssignUInt16(0x1);
    244   bignum.ShiftLeft(100);
    245   bignum.AddUInt64(V8_2PART_UINT64_C(0x1, 00000000));
    246   CHECK(bignum.ToHexString(buffer, kBufferSize));
    247   CHECK_EQ("10000000000000000100000000", buffer);
    248 
    249   bignum.AssignUInt16(0x1);
    250   bignum.ShiftLeft(100);
    251   bignum.AddUInt64(V8_2PART_UINT64_C(0xFFFF, 00000000));
    252   CHECK(bignum.ToHexString(buffer, kBufferSize));
    253   CHECK_EQ("10000000000000FFFF00000000", buffer);
    254 }
    255 
    256 
    257 TEST(AddBignum) {
    258   char buffer[kBufferSize];
    259   Bignum bignum;
    260   Bignum other;
    261 
    262   AssignHexString(&other, "1");
    263   AssignHexString(&bignum, "0");
    264   bignum.AddBignum(other);
    265   CHECK(bignum.ToHexString(buffer, kBufferSize));
    266   CHECK_EQ("1", buffer);
    267 
    268   AssignHexString(&bignum, "1");
    269   bignum.AddBignum(other);
    270   CHECK(bignum.ToHexString(buffer, kBufferSize));
    271   CHECK_EQ("2", buffer);
    272 
    273   AssignHexString(&bignum, "FFFFFFF");
    274   bignum.AddBignum(other);
    275   CHECK(bignum.ToHexString(buffer, kBufferSize));
    276   CHECK_EQ("10000000", buffer);
    277 
    278   AssignHexString(&bignum, "FFFFFFFFFFFFFF");
    279   bignum.AddBignum(other);
    280   CHECK(bignum.ToHexString(buffer, kBufferSize));
    281   CHECK_EQ("100000000000000", buffer);
    282 
    283   AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
    284   bignum.AddBignum(other);
    285   CHECK(bignum.ToHexString(buffer, kBufferSize));
    286   CHECK_EQ("10000000000000000000000000000000000000000001", buffer);
    287 
    288   AssignHexString(&other, "1000000000000");
    289 
    290   AssignHexString(&bignum, "1");
    291   bignum.AddBignum(other);
    292   CHECK(bignum.ToHexString(buffer, kBufferSize));
    293   CHECK_EQ("1000000000001", buffer);
    294 
    295   AssignHexString(&bignum, "FFFFFFF");
    296   bignum.AddBignum(other);
    297   CHECK(bignum.ToHexString(buffer, kBufferSize));
    298   CHECK_EQ("100000FFFFFFF", buffer);
    299 
    300   AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
    301   bignum.AddBignum(other);
    302   CHECK(bignum.ToHexString(buffer, kBufferSize));
    303   CHECK_EQ("10000000000000000000000000000001000000000000", buffer);
    304 
    305   AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
    306   bignum.AddBignum(other);
    307   CHECK(bignum.ToHexString(buffer, kBufferSize));
    308   CHECK_EQ("1000000000000000000000000000000FFFFFFFFFFFF", buffer);
    309 
    310   bignum.AssignUInt16(0x1);
    311   bignum.ShiftLeft(100);
    312   bignum.AddBignum(other);
    313   CHECK(bignum.ToHexString(buffer, kBufferSize));
    314   CHECK_EQ("10000000000001000000000000", buffer);
    315 
    316   other.ShiftLeft(64);
    317   // other == "10000000000000000000000000000"
    318 
    319   bignum.AssignUInt16(0x1);
    320   bignum.AddBignum(other);
    321   CHECK(bignum.ToHexString(buffer, kBufferSize));
    322   CHECK_EQ("10000000000000000000000000001", buffer);
    323 
    324   AssignHexString(&bignum, "FFFFFFF");
    325   bignum.AddBignum(other);
    326   CHECK(bignum.ToHexString(buffer, kBufferSize));
    327   CHECK_EQ("1000000000000000000000FFFFFFF", buffer);
    328 
    329   AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
    330   bignum.AddBignum(other);
    331   CHECK(bignum.ToHexString(buffer, kBufferSize));
    332   CHECK_EQ("10000000000000010000000000000000000000000000", buffer);
    333 
    334   AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
    335   bignum.AddBignum(other);
    336   CHECK(bignum.ToHexString(buffer, kBufferSize));
    337   CHECK_EQ("100000000000000FFFFFFFFFFFFFFFFFFFFFFFFFFFF", buffer);
    338 
    339   bignum.AssignUInt16(0x1);
    340   bignum.ShiftLeft(100);
    341   bignum.AddBignum(other);
    342   CHECK(bignum.ToHexString(buffer, kBufferSize));
    343   CHECK_EQ("10010000000000000000000000000", buffer);
    344 }
    345 
    346 
    347 TEST(SubtractBignum) {
    348   char buffer[kBufferSize];
    349   Bignum bignum;
    350   Bignum other;
    351 
    352   AssignHexString(&bignum, "1");
    353   AssignHexString(&other, "0");
    354   bignum.SubtractBignum(other);
    355   CHECK(bignum.ToHexString(buffer, kBufferSize));
    356   CHECK_EQ("1", buffer);
    357 
    358   AssignHexString(&bignum, "2");
    359   AssignHexString(&other, "0");
    360   bignum.SubtractBignum(other);
    361   CHECK(bignum.ToHexString(buffer, kBufferSize));
    362   CHECK_EQ("2", buffer);
    363 
    364   AssignHexString(&bignum, "10000000");
    365   AssignHexString(&other, "1");
    366   bignum.SubtractBignum(other);
    367   CHECK(bignum.ToHexString(buffer, kBufferSize));
    368   CHECK_EQ("FFFFFFF", buffer);
    369 
    370   AssignHexString(&bignum, "100000000000000");
    371   AssignHexString(&other, "1");
    372   bignum.SubtractBignum(other);
    373   CHECK(bignum.ToHexString(buffer, kBufferSize));
    374   CHECK_EQ("FFFFFFFFFFFFFF", buffer);
    375 
    376   AssignHexString(&bignum, "10000000000000000000000000000000000000000001");
    377   AssignHexString(&other, "1");
    378   bignum.SubtractBignum(other);
    379   CHECK(bignum.ToHexString(buffer, kBufferSize));
    380   CHECK_EQ("10000000000000000000000000000000000000000000", buffer);
    381 
    382   AssignHexString(&bignum, "1000000000001");
    383   AssignHexString(&other, "1000000000000");
    384   bignum.SubtractBignum(other);
    385   CHECK(bignum.ToHexString(buffer, kBufferSize));
    386   CHECK_EQ("1", buffer);
    387 
    388   AssignHexString(&bignum, "100000FFFFFFF");
    389   AssignHexString(&other, "1000000000000");
    390   bignum.SubtractBignum(other);
    391   CHECK(bignum.ToHexString(buffer, kBufferSize));
    392   CHECK_EQ("FFFFFFF", buffer);
    393 
    394   AssignHexString(&bignum, "10000000000000000000000000000001000000000000");
    395   AssignHexString(&other, "1000000000000");
    396   bignum.SubtractBignum(other);
    397   CHECK(bignum.ToHexString(buffer, kBufferSize));
    398   CHECK_EQ("10000000000000000000000000000000000000000000", buffer);
    399 
    400   AssignHexString(&bignum, "1000000000000000000000000000000FFFFFFFFFFFF");
    401   AssignHexString(&other, "1000000000000");
    402   bignum.SubtractBignum(other);
    403   CHECK(bignum.ToHexString(buffer, kBufferSize));
    404   CHECK_EQ("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", buffer);
    405 
    406   bignum.AssignUInt16(0x1);
    407   bignum.ShiftLeft(100);
    408   // "10 0000 0000 0000 0000 0000 0000"
    409   AssignHexString(&other, "1000000000000");
    410   bignum.SubtractBignum(other);
    411   CHECK(bignum.ToHexString(buffer, kBufferSize));
    412   CHECK_EQ("FFFFFFFFFFFFF000000000000", buffer);
    413 
    414   AssignHexString(&other, "1000000000000");
    415   other.ShiftLeft(48);
    416   // other == "1000000000000000000000000"
    417 
    418   bignum.AssignUInt16(0x1);
    419   bignum.ShiftLeft(100);
    420   // bignum == "10000000000000000000000000"
    421   bignum.SubtractBignum(other);
    422   CHECK(bignum.ToHexString(buffer, kBufferSize));
    423   CHECK_EQ("F000000000000000000000000", buffer);
    424 
    425   other.AssignUInt16(0x1);
    426   other.ShiftLeft(35);
    427   // other == "800000000"
    428   AssignHexString(&bignum, "FFFFFFF");
    429   bignum.ShiftLeft(60);
    430   // bignum = FFFFFFF000000000000000
    431   bignum.SubtractBignum(other);
    432   CHECK(bignum.ToHexString(buffer, kBufferSize));
    433   CHECK_EQ("FFFFFFEFFFFFF800000000", buffer);
    434 
    435   AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
    436   bignum.SubtractBignum(other);
    437   CHECK(bignum.ToHexString(buffer, kBufferSize));
    438   CHECK_EQ("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF800000000", buffer);
    439 
    440   AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
    441   bignum.SubtractBignum(other);
    442   CHECK(bignum.ToHexString(buffer, kBufferSize));
    443   CHECK_EQ("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFF", buffer);
    444 }
    445 
    446 
    447 TEST(MultiplyUInt32) {
    448   char buffer[kBufferSize];
    449   Bignum bignum;
    450 
    451   AssignHexString(&bignum, "0");
    452   bignum.MultiplyByUInt32(0x25);
    453   CHECK(bignum.ToHexString(buffer, kBufferSize));
    454   CHECK_EQ("0", buffer);
    455 
    456   AssignHexString(&bignum, "2");
    457   bignum.MultiplyByUInt32(0x5);
    458   CHECK(bignum.ToHexString(buffer, kBufferSize));
    459   CHECK_EQ("A", buffer);
    460 
    461   AssignHexString(&bignum, "10000000");
    462   bignum.MultiplyByUInt32(0x9);
    463   CHECK(bignum.ToHexString(buffer, kBufferSize));
    464   CHECK_EQ("90000000", buffer);
    465 
    466   AssignHexString(&bignum, "100000000000000");
    467   bignum.MultiplyByUInt32(0xFFFF);
    468   CHECK(bignum.ToHexString(buffer, kBufferSize));
    469   CHECK_EQ("FFFF00000000000000", buffer);
    470 
    471   AssignHexString(&bignum, "100000000000000");
    472   bignum.MultiplyByUInt32(0xFFFFFFFF);
    473   CHECK(bignum.ToHexString(buffer, kBufferSize));
    474   CHECK_EQ("FFFFFFFF00000000000000", buffer);
    475 
    476   AssignHexString(&bignum, "1234567ABCD");
    477   bignum.MultiplyByUInt32(0xFFF);
    478   CHECK(bignum.ToHexString(buffer, kBufferSize));
    479   CHECK_EQ("12333335552433", buffer);
    480 
    481   AssignHexString(&bignum, "1234567ABCD");
    482   bignum.MultiplyByUInt32(0xFFFFFFF);
    483   CHECK(bignum.ToHexString(buffer, kBufferSize));
    484   CHECK_EQ("12345679998A985433", buffer);
    485 
    486   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
    487   bignum.MultiplyByUInt32(0x2);
    488   CHECK(bignum.ToHexString(buffer, kBufferSize));
    489   CHECK_EQ("1FFFFFFFFFFFFFFFE", buffer);
    490 
    491   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
    492   bignum.MultiplyByUInt32(0x4);
    493   CHECK(bignum.ToHexString(buffer, kBufferSize));
    494   CHECK_EQ("3FFFFFFFFFFFFFFFC", buffer);
    495 
    496   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
    497   bignum.MultiplyByUInt32(0xF);
    498   CHECK(bignum.ToHexString(buffer, kBufferSize));
    499   CHECK_EQ("EFFFFFFFFFFFFFFF1", buffer);
    500 
    501   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
    502   bignum.MultiplyByUInt32(0xFFFFFF);
    503   CHECK(bignum.ToHexString(buffer, kBufferSize));
    504   CHECK_EQ("FFFFFEFFFFFFFFFF000001", buffer);
    505 
    506   bignum.AssignUInt16(0x1);
    507   bignum.ShiftLeft(100);
    508   // "10 0000 0000 0000 0000 0000 0000"
    509   bignum.MultiplyByUInt32(2);
    510   CHECK(bignum.ToHexString(buffer, kBufferSize));
    511   CHECK_EQ("20000000000000000000000000", buffer);
    512 
    513   bignum.AssignUInt16(0x1);
    514   bignum.ShiftLeft(100);
    515   // "10 0000 0000 0000 0000 0000 0000"
    516   bignum.MultiplyByUInt32(0xF);
    517   CHECK(bignum.ToHexString(buffer, kBufferSize));
    518   CHECK_EQ("F0000000000000000000000000", buffer);
    519 
    520   bignum.AssignUInt16(0xFFFF);
    521   bignum.ShiftLeft(100);
    522   // "FFFF0 0000 0000 0000 0000 0000 0000"
    523   bignum.MultiplyByUInt32(0xFFFF);
    524   CHECK(bignum.ToHexString(buffer, kBufferSize));
    525   CHECK_EQ("FFFE00010000000000000000000000000", buffer);
    526 
    527   bignum.AssignUInt16(0xFFFF);
    528   bignum.ShiftLeft(100);
    529   // "FFFF0 0000 0000 0000 0000 0000 0000"
    530   bignum.MultiplyByUInt32(0xFFFFFFFF);
    531   CHECK(bignum.ToHexString(buffer, kBufferSize));
    532   CHECK_EQ("FFFEFFFF00010000000000000000000000000", buffer);
    533 
    534   bignum.AssignUInt16(0xFFFF);
    535   bignum.ShiftLeft(100);
    536   // "FFFF0 0000 0000 0000 0000 0000 0000"
    537   bignum.MultiplyByUInt32(0xFFFFFFFF);
    538   CHECK(bignum.ToHexString(buffer, kBufferSize));
    539   CHECK_EQ("FFFEFFFF00010000000000000000000000000", buffer);
    540 
    541   AssignDecimalString(&bignum, "15611230384529777");
    542   bignum.MultiplyByUInt32(10000000);
    543   CHECK(bignum.ToHexString(buffer, kBufferSize));
    544   CHECK_EQ("210EDD6D4CDD2580EE80", buffer);
    545 }
    546 
    547 
    548 TEST(MultiplyUInt64) {
    549   char buffer[kBufferSize];
    550   Bignum bignum;
    551 
    552   AssignHexString(&bignum, "0");
    553   bignum.MultiplyByUInt64(0x25);
    554   CHECK(bignum.ToHexString(buffer, kBufferSize));
    555   CHECK_EQ("0", buffer);
    556 
    557   AssignHexString(&bignum, "2");
    558   bignum.MultiplyByUInt64(0x5);
    559   CHECK(bignum.ToHexString(buffer, kBufferSize));
    560   CHECK_EQ("A", buffer);
    561 
    562   AssignHexString(&bignum, "10000000");
    563   bignum.MultiplyByUInt64(0x9);
    564   CHECK(bignum.ToHexString(buffer, kBufferSize));
    565   CHECK_EQ("90000000", buffer);
    566 
    567   AssignHexString(&bignum, "100000000000000");
    568   bignum.MultiplyByUInt64(0xFFFF);
    569   CHECK(bignum.ToHexString(buffer, kBufferSize));
    570   CHECK_EQ("FFFF00000000000000", buffer);
    571 
    572   AssignHexString(&bignum, "100000000000000");
    573   bignum.MultiplyByUInt64(V8_2PART_UINT64_C(0xFFFFFFFF, FFFFFFFF));
    574   CHECK(bignum.ToHexString(buffer, kBufferSize));
    575   CHECK_EQ("FFFFFFFFFFFFFFFF00000000000000", buffer);
    576 
    577   AssignHexString(&bignum, "1234567ABCD");
    578   bignum.MultiplyByUInt64(0xFFF);
    579   CHECK(bignum.ToHexString(buffer, kBufferSize));
    580   CHECK_EQ("12333335552433", buffer);
    581 
    582   AssignHexString(&bignum, "1234567ABCD");
    583   bignum.MultiplyByUInt64(V8_2PART_UINT64_C(0xFF, FFFFFFFF));
    584   CHECK(bignum.ToHexString(buffer, kBufferSize));
    585   CHECK_EQ("1234567ABCBDCBA985433", buffer);
    586 
    587   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
    588   bignum.MultiplyByUInt64(0x2);
    589   CHECK(bignum.ToHexString(buffer, kBufferSize));
    590   CHECK_EQ("1FFFFFFFFFFFFFFFE", buffer);
    591 
    592   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
    593   bignum.MultiplyByUInt64(0x4);
    594   CHECK(bignum.ToHexString(buffer, kBufferSize));
    595   CHECK_EQ("3FFFFFFFFFFFFFFFC", buffer);
    596 
    597   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
    598   bignum.MultiplyByUInt64(0xF);
    599   CHECK(bignum.ToHexString(buffer, kBufferSize));
    600   CHECK_EQ("EFFFFFFFFFFFFFFF1", buffer);
    601 
    602   AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
    603   bignum.MultiplyByUInt64(V8_2PART_UINT64_C(0xFFFFFFFF, FFFFFFFF));
    604   CHECK(bignum.ToHexString(buffer, kBufferSize));
    605   CHECK_EQ("FFFFFFFFFFFFFFFE0000000000000001", buffer);
    606 
    607   bignum.AssignUInt16(0x1);
    608   bignum.ShiftLeft(100);
    609   // "10 0000 0000 0000 0000 0000 0000"
    610   bignum.MultiplyByUInt64(2);
    611   CHECK(bignum.ToHexString(buffer, kBufferSize));
    612   CHECK_EQ("20000000000000000000000000", buffer);
    613 
    614   bignum.AssignUInt16(0x1);
    615   bignum.ShiftLeft(100);
    616   // "10 0000 0000 0000 0000 0000 0000"
    617   bignum.MultiplyByUInt64(0xF);
    618   CHECK(bignum.ToHexString(buffer, kBufferSize));
    619   CHECK_EQ("F0000000000000000000000000", buffer);
    620 
    621   bignum.AssignUInt16(0xFFFF);
    622   bignum.ShiftLeft(100);
    623   // "FFFF0 0000 0000 0000 0000 0000 0000"
    624   bignum.MultiplyByUInt64(0xFFFF);
    625   CHECK(bignum.ToHexString(buffer, kBufferSize));
    626   CHECK_EQ("FFFE00010000000000000000000000000", buffer);
    627 
    628   bignum.AssignUInt16(0xFFFF);
    629   bignum.ShiftLeft(100);
    630   // "FFFF0 0000 0000 0000 0000 0000 0000"
    631   bignum.MultiplyByUInt64(0xFFFFFFFF);
    632   CHECK(bignum.ToHexString(buffer, kBufferSize));
    633   CHECK_EQ("FFFEFFFF00010000000000000000000000000", buffer);
    634 
    635   bignum.AssignUInt16(0xFFFF);
    636   bignum.ShiftLeft(100);
    637   // "FFFF0 0000 0000 0000 0000 0000 0000"
    638   bignum.MultiplyByUInt64(V8_2PART_UINT64_C(0xFFFFFFFF, FFFFFFFF));
    639   CHECK(bignum.ToHexString(buffer, kBufferSize));
    640   CHECK_EQ("FFFEFFFFFFFFFFFF00010000000000000000000000000", buffer);
    641 
    642   AssignDecimalString(&bignum, "15611230384529777");
    643   bignum.MultiplyByUInt64(V8_2PART_UINT64_C(0x8ac72304, 89e80000));
    644   CHECK(bignum.ToHexString(buffer, kBufferSize));
    645   CHECK_EQ("1E10EE4B11D15A7F3DE7F3C7680000", buffer);
    646 }
    647 
    648 
    649 TEST(MultiplyPowerOfTen) {
    650   char buffer[kBufferSize];
    651   Bignum bignum;
    652 
    653   AssignDecimalString(&bignum, "1234");
    654   bignum.MultiplyByPowerOfTen(1);
    655   CHECK(bignum.ToHexString(buffer, kBufferSize));
    656   CHECK_EQ("3034", buffer);
    657 
    658   AssignDecimalString(&bignum, "1234");
    659   bignum.MultiplyByPowerOfTen(2);
    660   CHECK(bignum.ToHexString(buffer, kBufferSize));
    661   CHECK_EQ("1E208", buffer);
    662 
    663   AssignDecimalString(&bignum, "1234");
    664   bignum.MultiplyByPowerOfTen(3);
    665   CHECK(bignum.ToHexString(buffer, kBufferSize));
    666   CHECK_EQ("12D450", buffer);
    667 
    668   AssignDecimalString(&bignum, "1234");
    669   bignum.MultiplyByPowerOfTen(4);
    670   CHECK(bignum.ToHexString(buffer, kBufferSize));
    671   CHECK_EQ("BC4B20", buffer);
    672 
    673   AssignDecimalString(&bignum, "1234");
    674   bignum.MultiplyByPowerOfTen(5);
    675   CHECK(bignum.ToHexString(buffer, kBufferSize));
    676   CHECK_EQ("75AEF40", buffer);
    677 
    678   AssignDecimalString(&bignum, "1234");
    679   bignum.MultiplyByPowerOfTen(6);
    680   CHECK(bignum.ToHexString(buffer, kBufferSize));
    681   CHECK_EQ("498D5880", buffer);
    682 
    683   AssignDecimalString(&bignum, "1234");
    684   bignum.MultiplyByPowerOfTen(7);
    685   CHECK(bignum.ToHexString(buffer, kBufferSize));
    686   CHECK_EQ("2DF857500", buffer);
    687 
    688   AssignDecimalString(&bignum, "1234");
    689   bignum.MultiplyByPowerOfTen(8);
    690   CHECK(bignum.ToHexString(buffer, kBufferSize));
    691   CHECK_EQ("1CBB369200", buffer);
    692 
    693   AssignDecimalString(&bignum, "1234");
    694   bignum.MultiplyByPowerOfTen(9);
    695   CHECK(bignum.ToHexString(buffer, kBufferSize));
    696   CHECK_EQ("11F5021B400", buffer);
    697 
    698   AssignDecimalString(&bignum, "1234");
    699   bignum.MultiplyByPowerOfTen(10);
    700   CHECK(bignum.ToHexString(buffer, kBufferSize));
    701   CHECK_EQ("B3921510800", buffer);
    702 
    703   AssignDecimalString(&bignum, "1234");
    704   bignum.MultiplyByPowerOfTen(11);
    705   CHECK(bignum.ToHexString(buffer, kBufferSize));
    706   CHECK_EQ("703B4D2A5000", buffer);
    707 
    708   AssignDecimalString(&bignum, "1234");
    709   bignum.MultiplyByPowerOfTen(12);
    710   CHECK(bignum.ToHexString(buffer, kBufferSize));
    711   CHECK_EQ("4625103A72000", buffer);
    712 
    713   AssignDecimalString(&bignum, "1234");
    714   bignum.MultiplyByPowerOfTen(13);
    715   CHECK(bignum.ToHexString(buffer, kBufferSize));
    716   CHECK_EQ("2BD72A24874000", buffer);
    717 
    718   AssignDecimalString(&bignum, "1234");
    719   bignum.MultiplyByPowerOfTen(14);
    720   CHECK(bignum.ToHexString(buffer, kBufferSize));
    721   CHECK_EQ("1B667A56D488000", buffer);
    722 
    723   AssignDecimalString(&bignum, "1234");
    724   bignum.MultiplyByPowerOfTen(15);
    725   CHECK(bignum.ToHexString(buffer, kBufferSize));
    726   CHECK_EQ("11200C7644D50000", buffer);
    727 
    728   AssignDecimalString(&bignum, "1234");
    729   bignum.MultiplyByPowerOfTen(16);
    730   CHECK(bignum.ToHexString(buffer, kBufferSize));
    731   CHECK_EQ("AB407C9EB0520000", buffer);
    732 
    733   AssignDecimalString(&bignum, "1234");
    734   bignum.MultiplyByPowerOfTen(17);
    735   CHECK(bignum.ToHexString(buffer, kBufferSize));
    736   CHECK_EQ("6B084DE32E3340000", buffer);
    737 
    738   AssignDecimalString(&bignum, "1234");
    739   bignum.MultiplyByPowerOfTen(18);
    740   CHECK(bignum.ToHexString(buffer, kBufferSize));
    741   CHECK_EQ("42E530ADFCE0080000", buffer);
    742 
    743   AssignDecimalString(&bignum, "1234");
    744   bignum.MultiplyByPowerOfTen(19);
    745   CHECK(bignum.ToHexString(buffer, kBufferSize));
    746   CHECK_EQ("29CF3E6CBE0C0500000", buffer);
    747 
    748   AssignDecimalString(&bignum, "1234");
    749   bignum.MultiplyByPowerOfTen(20);
    750   CHECK(bignum.ToHexString(buffer, kBufferSize));
    751   CHECK_EQ("1A218703F6C783200000", buffer);
    752 
    753   AssignDecimalString(&bignum, "1234");
    754   bignum.MultiplyByPowerOfTen(21);
    755   CHECK(bignum.ToHexString(buffer, kBufferSize));
    756   CHECK_EQ("1054F4627A3CB1F400000", buffer);
    757 
    758   AssignDecimalString(&bignum, "1234");
    759   bignum.MultiplyByPowerOfTen(22);
    760   CHECK(bignum.ToHexString(buffer, kBufferSize));
    761   CHECK_EQ("A3518BD8C65EF38800000", buffer);
    762 
    763   AssignDecimalString(&bignum, "1234");
    764   bignum.MultiplyByPowerOfTen(23);
    765   CHECK(bignum.ToHexString(buffer, kBufferSize));
    766   CHECK_EQ("6612F7677BFB5835000000", buffer);
    767 
    768   AssignDecimalString(&bignum, "1234");
    769   bignum.MultiplyByPowerOfTen(24);
    770   CHECK(bignum.ToHexString(buffer, kBufferSize));
    771   CHECK_EQ("3FCBDAA0AD7D17212000000", buffer);
    772 
    773   AssignDecimalString(&bignum, "1234");
    774   bignum.MultiplyByPowerOfTen(25);
    775   CHECK(bignum.ToHexString(buffer, kBufferSize));
    776   CHECK_EQ("27DF68A46C6E2E74B4000000", buffer);
    777 
    778   AssignDecimalString(&bignum, "1234");
    779   bignum.MultiplyByPowerOfTen(26);
    780   CHECK(bignum.ToHexString(buffer, kBufferSize));
    781   CHECK_EQ("18EBA166C3C4DD08F08000000", buffer);
    782 
    783   AssignDecimalString(&bignum, "1234");
    784   bignum.MultiplyByPowerOfTen(27);
    785   CHECK(bignum.ToHexString(buffer, kBufferSize));
    786   CHECK_EQ("F9344E03A5B0A259650000000", buffer);
    787 
    788   AssignDecimalString(&bignum, "1234");
    789   bignum.MultiplyByPowerOfTen(28);
    790   CHECK(bignum.ToHexString(buffer, kBufferSize));
    791   CHECK_EQ("9BC0B0C2478E6577DF20000000", buffer);
    792 
    793   AssignDecimalString(&bignum, "1234");
    794   bignum.MultiplyByPowerOfTen(29);
    795   CHECK(bignum.ToHexString(buffer, kBufferSize));
    796   CHECK_EQ("61586E796CB8FF6AEB740000000", buffer);
    797 
    798   AssignDecimalString(&bignum, "1234");
    799   bignum.MultiplyByPowerOfTen(30);
    800   CHECK(bignum.ToHexString(buffer, kBufferSize));
    801   CHECK_EQ("3CD7450BE3F39FA2D32880000000", buffer);
    802 
    803   AssignDecimalString(&bignum, "1234");
    804   bignum.MultiplyByPowerOfTen(31);
    805   CHECK(bignum.ToHexString(buffer, kBufferSize));
    806   CHECK_EQ("26068B276E7843C5C3F9500000000", buffer);
    807 
    808   AssignDecimalString(&bignum, "1234");
    809   bignum.MultiplyByPowerOfTen(50);
    810   CHECK(bignum.ToHexString(buffer, kBufferSize));
    811   CHECK_EQ("149D1B4CFED03B23AB5F4E1196EF45C08000000000000", buffer);
    812 
    813   AssignDecimalString(&bignum, "1234");
    814   bignum.MultiplyByPowerOfTen(100);
    815   CHECK(bignum.ToHexString(buffer, kBufferSize));
    816   CHECK_EQ("5827249F27165024FBC47DFCA9359BF316332D1B91ACEECF471FBAB06D9B2"
    817            "0000000000000000000000000", buffer);
    818 
    819   AssignDecimalString(&bignum, "1234");
    820   bignum.MultiplyByPowerOfTen(200);
    821   CHECK(bignum.ToHexString(buffer, kBufferSize));
    822   CHECK_EQ("64C1F5C06C3816AFBF8DAFD5A3D756365BB0FD020E6F084E759C1F7C99E4F"
    823            "55B9ACC667CEC477EB958C2AEEB3C6C19BA35A1AD30B35C51EB72040920000"
    824            "0000000000000000000000000000000000000000000000", buffer);
    825 
    826   AssignDecimalString(&bignum, "1234");
    827   bignum.MultiplyByPowerOfTen(500);
    828   CHECK(bignum.ToHexString(buffer, kBufferSize));
    829   CHECK_EQ("96741A625EB5D7C91039FEB5C5ACD6D9831EDA5B083D800E6019442C8C8223"
    830            "3EAFB3501FE2058062221E15121334928880827DEE1EC337A8B26489F3A40A"
    831            "CB440A2423734472D10BFCE886F41B3AF9F9503013D86D088929CA86EEB4D8"
    832            "B9C831D0BD53327B994A0326227CFD0ECBF2EB48B02387AAE2D4CCCDF1F1A1"
    833            "B8CC4F1FA2C56AD40D0E4DAA9C28CDBF0A549098EA13200000000000000000"
    834            "00000000000000000000000000000000000000000000000000000000000000"
    835            "0000000000000000000000000000000000000000000000", buffer);
    836 
    837   AssignDecimalString(&bignum, "1234");
    838   bignum.MultiplyByPowerOfTen(1000);
    839   CHECK(bignum.ToHexString(buffer, kBufferSize));
    840   CHECK_EQ("1258040F99B1CD1CC9819C676D413EA50E4A6A8F114BB0C65418C62D399B81"
    841            "6361466CA8E095193E1EE97173553597C96673AF67FAFE27A66E7EF2E5EF2E"
    842            "E3F5F5070CC17FE83BA53D40A66A666A02F9E00B0E11328D2224B8694C7372"
    843            "F3D536A0AD1985911BD361496F268E8B23112500EAF9B88A9BC67B2AB04D38"
    844            "7FEFACD00F5AF4F764F9ABC3ABCDE54612DE38CD90CB6647CA389EA0E86B16"
    845            "BF7A1F34086E05ADBE00BD1673BE00FAC4B34AF1091E8AD50BA675E0381440"
    846            "EA8E9D93E75D816BAB37C9844B1441C38FC65CF30ABB71B36433AF26DD97BD"
    847            "ABBA96C03B4919B8F3515B92826B85462833380DC193D79F69D20DD6038C99"
    848            "6114EF6C446F0BA28CC772ACBA58B81C04F8FFDE7B18C4E5A3ABC51E637FDF"
    849            "6E37FDFF04C940919390F4FF92000000000000000000000000000000000000"
    850            "00000000000000000000000000000000000000000000000000000000000000"
    851            "00000000000000000000000000000000000000000000000000000000000000"
    852            "00000000000000000000000000000000000000000000000000000000000000"
    853            "0000000000000000000000000000", buffer);
    854 
    855   Bignum bignum2;
    856   AssignHexString(&bignum2, "3DA774C07FB5DF54284D09C675A492165B830D5DAAEB2A7501"
    857                             "DA17CF9DFA1CA2282269F92A25A97314296B717E3DCBB9FE17"
    858                             "41A842FE2913F540F40796F2381155763502C58B15AF7A7F88"
    859                             "6F744C9164FF409A28F7FA0C41F89ED79C1BE9F322C8578B97"
    860                             "841F1CBAA17D901BE1230E3C00E1C643AF32638B5674E01FEA"
    861                             "96FC90864E621B856A9E1CE56E6EB545B9C2F8F0CC10DDA88D"
    862                             "CC6D282605F8DB67044F2DFD3695E7BA63877AE16701536AE6"
    863                             "567C794D0BFE338DFBB42D92D4215AF3BB22BF0A8B283FDDC2"
    864                             "C667A10958EA6D2");
    865   CHECK(bignum2.ToHexString(buffer, kBufferSize));
    866   CHECK_EQ("3DA774C07FB5DF54284D09C675A492165B830D5DAAEB2A7501"
    867            "DA17CF9DFA1CA2282269F92A25A97314296B717E3DCBB9FE17"
    868            "41A842FE2913F540F40796F2381155763502C58B15AF7A7F88"
    869            "6F744C9164FF409A28F7FA0C41F89ED79C1BE9F322C8578B97"
    870            "841F1CBAA17D901BE1230E3C00E1C643AF32638B5674E01FEA"
    871            "96FC90864E621B856A9E1CE56E6EB545B9C2F8F0CC10DDA88D"
    872            "CC6D282605F8DB67044F2DFD3695E7BA63877AE16701536AE6"
    873            "567C794D0BFE338DFBB42D92D4215AF3BB22BF0A8B283FDDC2"
    874            "C667A10958EA6D2", buffer);
    875 
    876   bignum.AssignBignum(bignum2);
    877   bignum.MultiplyByPowerOfTen(1);
    878   CHECK(bignum.ToHexString(buffer, kBufferSize));
    879   CHECK_EQ("2688A8F84FD1AB949930261C0986DB4DF931E85A8AD2FA8921284EE1C2BC51"
    880            "E55915823BBA5789E7EC99E326EEE69F543ECE890929DED9AC79489884BE57"
    881            "630AD569E121BB76ED8DAC8FB545A8AFDADF1F8860599AFC47A93B6346C191"
    882            "7237F5BD36B73EB29371F4A4EE7A116CB5E8E5808D1BEA4D7F7E3716090C13"
    883            "F29E5DDA53F0FD513362A2D20F6505314B9419DB967F8A8A89589FC43917C3"
    884            "BB892062B17CBE421DB0D47E34ACCCE060D422CFF60DCBD0277EE038BD509C"
    885            "7BC494D8D854F5B76696F927EA99BC00C4A5D7928434", buffer);
    886 
    887   bignum.AssignBignum(bignum2);
    888   bignum.MultiplyByPowerOfTen(2);
    889   CHECK(bignum.ToHexString(buffer, kBufferSize));
    890   CHECK_EQ("1815699B31E30B3CDFBE17D185F44910BBBF313896C3DC95B4B9314D19B5B32"
    891            "F57AD71655476B630F3E02DF855502394A74115A5BA2B480BCBCD5F52F6F69D"
    892            "E6C5622CB5152A54788BD9D14B896DE8CB73B53C3800DDACC9C51E0C38FAE76"
    893            "2F9964232872F9C2738E7150C4AE3F1B18F70583172706FAEE26DC5A78C77A2"
    894            "FAA874769E52C01DA5C3499F233ECF3C90293E0FB69695D763DAA3AEDA5535B"
    895            "43DAEEDF6E9528E84CEE0EC000C3C8495C1F9C89F6218AF4C23765261CD5ADD"
    896            "0787351992A01E5BB8F2A015807AE7A6BB92A08", buffer);
    897 
    898   bignum.AssignBignum(bignum2);
    899   bignum.MultiplyByPowerOfTen(5);
    900   CHECK(bignum.ToHexString(buffer, kBufferSize));
    901   CHECK_EQ("5E13A4863ADEE3E5C9FE8D0A73423D695D62D8450CED15A8C9F368952C6DC3"
    902            "F0EE7D82F3D1EFB7AF38A3B3920D410AFCAD563C8F5F39116E141A3C5C14B3"
    903            "58CD73077EA35AAD59F6E24AD98F10D5555ABBFBF33AC361EAF429FD5FBE94"
    904            "17DA9EF2F2956011F9F93646AA38048A681D984ED88127073443247CCC167C"
    905            "B354A32206EF5A733E73CF82D795A1AD598493211A6D613C39515E0E0F6304"
    906            "DCD9C810F3518C7F6A7CB6C81E99E02FCC65E8FDB7B7AE97306CC16A8631CE"
    907            "0A2AEF6568276BE4C176964A73C153FDE018E34CB4C2F40", buffer);
    908 
    909   bignum.AssignBignum(bignum2);
    910   bignum.MultiplyByPowerOfTen(10);
    911   CHECK(bignum.ToHexString(buffer, kBufferSize));
    912   CHECK_EQ("8F8CB8EB51945A7E815809F6121EF2F4E61EF3405CD9432CAD2709749EEAFD"
    913            "1B81E843F14A3667A7BDCCC9E0BB795F63CDFDB62844AC7438976C885A0116"
    914            "29607DA54F9C023CC366570B7637ED0F855D931752038A614922D0923E382C"
    915            "B8E5F6C975672DB76E0DE471937BB9EDB11E28874F1C122D5E1EF38CECE9D0"
    916            "0723056BCBD4F964192B76830634B1D322B7EB0062F3267E84F5C824343A77"
    917            "4B7DCEE6DD464F01EBDC8C671BB18BB4EF4300A42474A6C77243F2A12B03BF"
    918            "0443C38A1C0D2701EDB393135AE0DEC94211F9D4EB51F990800", buffer);
    919 
    920   bignum.AssignBignum(bignum2);
    921   bignum.MultiplyByPowerOfTen(50);
    922   CHECK(bignum.ToHexString(buffer, kBufferSize));
    923   CHECK_EQ("107A8BE345E24407372FC1DE442CBA696BC23C4FFD5B4BDFD9E5C39559815"
    924            "86628CF8472D2D589F2FC2BAD6E0816EC72CBF85CCA663D8A1EC6C51076D8"
    925            "2D247E6C26811B7EC4D4300FB1F91028DCB7B2C4E7A60C151161AA7E65E79"
    926            "B40917B12B2B5FBE7745984D4E8EFA31F9AE6062427B068B144A9CB155873"
    927            "E7C0C9F0115E5AC72DC5A73C4796DB970BF9205AB8C77A6996EB1B417F9D1"
    928            "6232431E6313C392203601B9C22CC10DDA88DCC6D282605F8DB67044F2DFD"
    929            "3695E7BA63877AE16701536AE6567C794D0BFE338DFBB42D924CF964BD2C0"
    930            "F586E03A2FCD35A408000000000000", buffer);
    931 
    932   bignum.AssignBignum(bignum2);
    933   bignum.MultiplyByPowerOfTen(100);
    934   CHECK(bignum.ToHexString(buffer, kBufferSize));
    935   CHECK_EQ("46784A90ACD0ED3E7759CC585FB32D36EB6034A6F78D92604E3BAA5ED3D8B"
    936            "6E60E854439BE448897FB4B7EA5A3D873AA0FCB3CFFD80D0530880E45F511"
    937            "722A50CE7E058B5A6F5464DB7500E34984EE3202A9441F44FA1554C0CEA96"
    938            "B438A36F25E7C9D56D71AE2CD313EC37534DA299AC0854FC48591A7CF3171"
    939            "31265AA4AE62DE32344CE7BEEEF894AE686A2DAAFE5D6D9A10971FFD9C064"
    940            "5079B209E1048F58B5192D41D84336AC4C8C489EEF00939CFC9D55C122036"
    941            "01B9C22CC10DDA88DCC6D282605F8DB67044F2DFD3695E7BA3F67B96D3A32"
    942            "E11FB5561B68744C4035B0800DC166D49D98E3FD1D5BB2000000000000000"
    943            "0000000000", buffer);
    944 
    945   bignum.AssignBignum(bignum2);
    946   bignum.MultiplyByPowerOfTen(200);
    947   CHECK(bignum.ToHexString(buffer, kBufferSize));
    948   CHECK_EQ("508BD351221DF139D72D88CDC0416845A53EE2D0E6B98352509A9AC312F8C"
    949            "6CB1A144889416201E0B6CE66EA3EBE259B5FD79ECFC1FD77963CE516CC7E"
    950            "2FE73D4B5B710C19F6BCB092C7A2FD76286543B8DBD2C596DFF2C896720BA"
    951            "DFF7BC9C366ACEA3A880AEC287C5E6207DF2739B5326FC19D773BD830B109"
    952            "ED36C7086544BF8FDB9D4B73719C2B5BC2F571A5937EC46876CD428281F6B"
    953            "F287E1E07F25C1B1D46BC37324FF657A8B2E0071DB83B86123CA34004F406"
    954            "001082D7945E90C6E8C9A9FEC2B44BE0DDA46E9F52B152E4D1336D2FCFBC9"
    955            "96E30CA0082256737365158FE36482AA7EB9DAF2AB128F10E7551A3CD5BE6"
    956            "0A922F3A7D5EED38B634A7EC95BCF7021BA6820A292000000000000000000"
    957            "00000000000000000000000000000000", buffer);
    958 
    959   bignum.AssignBignum(bignum2);
    960   bignum.MultiplyByPowerOfTen(500);
    961   CHECK(bignum.ToHexString(buffer, kBufferSize));
    962   CHECK_EQ("7845F900E475B5086885BAAAE67C8E85185ACFE4633727F82A4B06B5582AC"
    963            "BE933C53357DA0C98C20C5AC900C4D76A97247DF52B79F48F9E35840FB715"
    964            "D392CE303E22622B0CF82D9471B398457DD3196F639CEE8BBD2C146873841"
    965            "F0699E6C41F04FC7A54B48CEB995BEB6F50FE81DE9D87A8D7F849CC523553"
    966            "7B7BBBC1C7CAAFF6E9650BE03B308C6D31012AEF9580F70D3EE2083ADE126"
    967            "8940FA7D6308E239775DFD2F8C97FF7EBD525DAFA6512216F7047A62A93DC"
    968            "38A0165BDC67E250DCC96A0181DE935A70B38704DC71819F02FC5261FF7E1"
    969            "E5F11907678B0A3E519FF4C10A867B0C26CE02BE6960BA8621A87303C101C"
    970            "3F88798BB9F7739655946F8B5744E6B1EAF10B0C5621330F0079209033C69"
    971            "20DE2E2C8D324F0624463735D482BF291926C22A910F5B80FA25170B6B57D"
    972            "8D5928C7BCA3FE87461275F69BD5A1B83181DAAF43E05FC3C72C4E93111B6"
    973            "6205EBF49B28FEDFB7E7526CBDA658A332000000000000000000000000000"
    974            "0000000000000000000000000000000000000000000000000000000000000"
    975            "0000000000000000000000000000000000000", buffer);
    976 }
    977 
    978 
    979 TEST(DivideModuloIntBignum) {
    980   char buffer[kBufferSize];
    981   Bignum bignum;
    982   Bignum other;
    983   Bignum third;
    984 
    985   bignum.AssignUInt16(10);
    986   other.AssignUInt16(2);
    987   CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
    988   CHECK(bignum.ToHexString(buffer, kBufferSize));
    989   CHECK_EQ("0", buffer);
    990 
    991   bignum.AssignUInt16(10);
    992   bignum.ShiftLeft(500);
    993   other.AssignUInt16(2);
    994   other.ShiftLeft(500);
    995   CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
    996   CHECK_EQ("0", buffer);
    997 
    998   bignum.AssignUInt16(11);
    999   other.AssignUInt16(2);
   1000   CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
   1001   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1002   CHECK_EQ("1", buffer);
   1003 
   1004   bignum.AssignUInt16(10);
   1005   bignum.ShiftLeft(500);
   1006   other.AssignUInt16(1);
   1007   bignum.AddBignum(other);
   1008   other.AssignUInt16(2);
   1009   other.ShiftLeft(500);
   1010   CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
   1011   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1012   CHECK_EQ("1", buffer);
   1013 
   1014   bignum.AssignUInt16(10);
   1015   bignum.ShiftLeft(500);
   1016   other.AssignBignum(bignum);
   1017   bignum.MultiplyByUInt32(0x1234);
   1018   third.AssignUInt16(0xFFF);
   1019   bignum.AddBignum(third);
   1020   CHECK_EQ(0x1234, bignum.DivideModuloIntBignum(other));
   1021   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1022   CHECK_EQ("FFF", buffer);
   1023 
   1024   bignum.AssignUInt16(10);
   1025   AssignHexString(&other, "1234567890");
   1026   CHECK_EQ(0, bignum.DivideModuloIntBignum(other));
   1027   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1028   CHECK_EQ("A", buffer);
   1029 
   1030   AssignHexString(&bignum, "12345678");
   1031   AssignHexString(&other, "3789012");
   1032   CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
   1033   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1034   CHECK_EQ("D9861E", buffer);
   1035 
   1036   AssignHexString(&bignum, "70000001");
   1037   AssignHexString(&other, "1FFFFFFF");
   1038   CHECK_EQ(3, bignum.DivideModuloIntBignum(other));
   1039   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1040   CHECK_EQ("10000004", buffer);
   1041 
   1042   AssignHexString(&bignum, "28000000");
   1043   AssignHexString(&other, "12A05F20");
   1044   CHECK_EQ(2, bignum.DivideModuloIntBignum(other));
   1045   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1046   CHECK_EQ("2BF41C0", buffer);
   1047 
   1048   bignum.AssignUInt16(10);
   1049   bignum.ShiftLeft(500);
   1050   other.AssignBignum(bignum);
   1051   bignum.MultiplyByUInt32(0x1234);
   1052   third.AssignUInt16(0xFFF);
   1053   other.SubtractBignum(third);
   1054   CHECK_EQ(0x1234, bignum.DivideModuloIntBignum(other));
   1055   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1056   CHECK_EQ("1232DCC", buffer);
   1057   CHECK_EQ(0, bignum.DivideModuloIntBignum(other));
   1058   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1059   CHECK_EQ("1232DCC", buffer);
   1060 }
   1061 
   1062 
   1063 TEST(Compare) {
   1064   Bignum bignum1;
   1065   Bignum bignum2;
   1066   bignum1.AssignUInt16(1);
   1067   bignum2.AssignUInt16(1);
   1068   CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
   1069   CHECK(Bignum::Equal(bignum1, bignum2));
   1070   CHECK(Bignum::LessEqual(bignum1, bignum2));
   1071   CHECK(!Bignum::Less(bignum1, bignum2));
   1072 
   1073   bignum1.AssignUInt16(0);
   1074   bignum2.AssignUInt16(1);
   1075   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
   1076   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
   1077   CHECK(!Bignum::Equal(bignum1, bignum2));
   1078   CHECK(!Bignum::Equal(bignum2, bignum1));
   1079   CHECK(Bignum::LessEqual(bignum1, bignum2));
   1080   CHECK(!Bignum::LessEqual(bignum2, bignum1));
   1081   CHECK(Bignum::Less(bignum1, bignum2));
   1082   CHECK(!Bignum::Less(bignum2, bignum1));
   1083 
   1084   AssignHexString(&bignum1, "1234567890ABCDEF12345");
   1085   AssignHexString(&bignum2, "1234567890ABCDEF12345");
   1086   CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
   1087 
   1088   AssignHexString(&bignum1, "1234567890ABCDEF12345");
   1089   AssignHexString(&bignum2, "1234567890ABCDEF12346");
   1090   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
   1091   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
   1092 
   1093   AssignHexString(&bignum1, "1234567890ABCDEF12345");
   1094   bignum1.ShiftLeft(500);
   1095   AssignHexString(&bignum2, "1234567890ABCDEF12345");
   1096   bignum2.ShiftLeft(500);
   1097   CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
   1098 
   1099   AssignHexString(&bignum1, "1234567890ABCDEF12345");
   1100   bignum1.ShiftLeft(500);
   1101   AssignHexString(&bignum2, "1234567890ABCDEF12346");
   1102   bignum2.ShiftLeft(500);
   1103   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
   1104   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
   1105 
   1106   bignum1.AssignUInt16(1);
   1107   bignum1.ShiftLeft(64);
   1108   AssignHexString(&bignum2, "10000000000000000");
   1109   CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
   1110   CHECK_EQ(0, Bignum::Compare(bignum2, bignum1));
   1111 
   1112   bignum1.AssignUInt16(1);
   1113   bignum1.ShiftLeft(64);
   1114   AssignHexString(&bignum2, "10000000000000001");
   1115   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
   1116   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
   1117 
   1118   bignum1.AssignUInt16(1);
   1119   bignum1.ShiftLeft(96);
   1120   AssignHexString(&bignum2, "10000000000000001");
   1121   bignum2.ShiftLeft(32);
   1122   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
   1123   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
   1124 
   1125   AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF");
   1126   bignum2.AssignUInt16(1);
   1127   bignum2.ShiftLeft(64);
   1128   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
   1129   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
   1130 
   1131   AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF");
   1132   bignum1.ShiftLeft(32);
   1133   bignum2.AssignUInt16(1);
   1134   bignum2.ShiftLeft(96);
   1135   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
   1136   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
   1137 
   1138   AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF");
   1139   bignum1.ShiftLeft(32);
   1140   bignum2.AssignUInt16(1);
   1141   bignum2.ShiftLeft(95);
   1142   CHECK_EQ(+1, Bignum::Compare(bignum1, bignum2));
   1143   CHECK_EQ(-1, Bignum::Compare(bignum2, bignum1));
   1144 
   1145   AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF");
   1146   bignum1.ShiftLeft(32);
   1147   bignum2.AssignUInt16(1);
   1148   bignum2.ShiftLeft(100);
   1149   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
   1150   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
   1151 
   1152   AssignHexString(&bignum1, "100000000000000");
   1153   bignum2.AssignUInt16(1);
   1154   bignum2.ShiftLeft(14*4);
   1155   CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
   1156   CHECK_EQ(0, Bignum::Compare(bignum2, bignum1));
   1157 
   1158   AssignHexString(&bignum1, "100000000000001");
   1159   bignum2.AssignUInt16(1);
   1160   bignum2.ShiftLeft(14*4);
   1161   CHECK_EQ(+1, Bignum::Compare(bignum1, bignum2));
   1162   CHECK_EQ(-1, Bignum::Compare(bignum2, bignum1));
   1163 
   1164   AssignHexString(&bignum1, "200000000000000");
   1165   bignum2.AssignUInt16(3);
   1166   bignum2.ShiftLeft(14*4);
   1167   CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
   1168   CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
   1169 }
   1170 
   1171 
   1172 TEST(PlusCompare) {
   1173   Bignum a;
   1174   Bignum b;
   1175   Bignum c;
   1176   a.AssignUInt16(1);
   1177   b.AssignUInt16(0);
   1178   c.AssignUInt16(1);
   1179   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
   1180   CHECK(Bignum::PlusEqual(a, b, c));
   1181   CHECK(Bignum::PlusLessEqual(a, b, c));
   1182   CHECK(!Bignum::PlusLess(a, b, c));
   1183 
   1184   a.AssignUInt16(0);
   1185   b.AssignUInt16(0);
   1186   c.AssignUInt16(1);
   1187   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
   1188   CHECK_EQ(+1, Bignum::PlusCompare(c, b, a));
   1189   CHECK(!Bignum::PlusEqual(a, b, c));
   1190   CHECK(!Bignum::PlusEqual(c, b, a));
   1191   CHECK(Bignum::PlusLessEqual(a, b, c));
   1192   CHECK(!Bignum::PlusLessEqual(c, b, a));
   1193   CHECK(Bignum::PlusLess(a, b, c));
   1194   CHECK(!Bignum::PlusLess(c, b, a));
   1195 
   1196   AssignHexString(&a, "1234567890ABCDEF12345");
   1197   b.AssignUInt16(1);
   1198   AssignHexString(&c, "1234567890ABCDEF12345");
   1199   CHECK_EQ(+1, Bignum::PlusCompare(a, b, c));
   1200 
   1201   AssignHexString(&a, "1234567890ABCDEF12344");
   1202   b.AssignUInt16(1);
   1203   AssignHexString(&c, "1234567890ABCDEF12345");
   1204   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
   1205 
   1206   AssignHexString(&a, "1234567890");
   1207   a.ShiftLeft(11*4);
   1208   AssignHexString(&b, "ABCDEF12345");
   1209   AssignHexString(&c, "1234567890ABCDEF12345");
   1210   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
   1211 
   1212   AssignHexString(&a, "1234567890");
   1213   a.ShiftLeft(11*4);
   1214   AssignHexString(&b, "ABCDEF12344");
   1215   AssignHexString(&c, "1234567890ABCDEF12345");
   1216   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
   1217 
   1218   AssignHexString(&a, "1234567890");
   1219   a.ShiftLeft(11*4);
   1220   AssignHexString(&b, "ABCDEF12346");
   1221   AssignHexString(&c, "1234567890ABCDEF12345");
   1222   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
   1223 
   1224   AssignHexString(&a, "1234567891");
   1225   a.ShiftLeft(11*4);
   1226   AssignHexString(&b, "ABCDEF12345");
   1227   AssignHexString(&c, "1234567890ABCDEF12345");
   1228   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
   1229 
   1230   AssignHexString(&a, "1234567889");
   1231   a.ShiftLeft(11*4);
   1232   AssignHexString(&b, "ABCDEF12345");
   1233   AssignHexString(&c, "1234567890ABCDEF12345");
   1234   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
   1235 
   1236   AssignHexString(&a, "1234567890");
   1237   a.ShiftLeft(11*4 + 32);
   1238   AssignHexString(&b, "ABCDEF12345");
   1239   b.ShiftLeft(32);
   1240   AssignHexString(&c, "1234567890ABCDEF12345");
   1241   c.ShiftLeft(32);
   1242   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
   1243 
   1244   AssignHexString(&a, "1234567890");
   1245   a.ShiftLeft(11*4 + 32);
   1246   AssignHexString(&b, "ABCDEF12344");
   1247   b.ShiftLeft(32);
   1248   AssignHexString(&c, "1234567890ABCDEF12345");
   1249   c.ShiftLeft(32);
   1250   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
   1251 
   1252   AssignHexString(&a, "1234567890");
   1253   a.ShiftLeft(11*4 + 32);
   1254   AssignHexString(&b, "ABCDEF12346");
   1255   b.ShiftLeft(32);
   1256   AssignHexString(&c, "1234567890ABCDEF12345");
   1257   c.ShiftLeft(32);
   1258   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
   1259 
   1260   AssignHexString(&a, "1234567891");
   1261   a.ShiftLeft(11*4 + 32);
   1262   AssignHexString(&b, "ABCDEF12345");
   1263   b.ShiftLeft(32);
   1264   AssignHexString(&c, "1234567890ABCDEF12345");
   1265   c.ShiftLeft(32);
   1266   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
   1267 
   1268   AssignHexString(&a, "1234567889");
   1269   a.ShiftLeft(11*4 + 32);
   1270   AssignHexString(&b, "ABCDEF12345");
   1271   b.ShiftLeft(32);
   1272   AssignHexString(&c, "1234567890ABCDEF12345");
   1273   c.ShiftLeft(32);
   1274   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
   1275 
   1276   AssignHexString(&a, "1234567890");
   1277   a.ShiftLeft(11*4 + 32);
   1278   AssignHexString(&b, "ABCDEF12345");
   1279   b.ShiftLeft(32);
   1280   AssignHexString(&c, "1234567890ABCDEF1234500000000");
   1281   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
   1282 
   1283   AssignHexString(&a, "1234567890");
   1284   a.ShiftLeft(11*4 + 32);
   1285   AssignHexString(&b, "ABCDEF12344");
   1286   b.ShiftLeft(32);
   1287   AssignHexString(&c, "1234567890ABCDEF1234500000000");
   1288   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
   1289 
   1290   AssignHexString(&a, "1234567890");
   1291   a.ShiftLeft(11*4 + 32);
   1292   AssignHexString(&b, "ABCDEF12346");
   1293   b.ShiftLeft(32);
   1294   AssignHexString(&c, "1234567890ABCDEF1234500000000");
   1295   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
   1296 
   1297   AssignHexString(&a, "1234567891");
   1298   a.ShiftLeft(11*4 + 32);
   1299   AssignHexString(&b, "ABCDEF12345");
   1300   b.ShiftLeft(32);
   1301   AssignHexString(&c, "1234567890ABCDEF1234500000000");
   1302   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
   1303 
   1304   AssignHexString(&a, "1234567889");
   1305   a.ShiftLeft(11*4 + 32);
   1306   AssignHexString(&b, "ABCDEF12345");
   1307   b.ShiftLeft(32);
   1308   AssignHexString(&c, "1234567890ABCDEF1234500000000");
   1309   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
   1310 
   1311   AssignHexString(&a, "1234567890");
   1312   a.ShiftLeft(11*4 + 32);
   1313   AssignHexString(&b, "ABCDEF12345");
   1314   AssignHexString(&c, "123456789000000000ABCDEF12345");
   1315   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
   1316 
   1317   AssignHexString(&a, "1234567890");
   1318   a.ShiftLeft(11*4 + 32);
   1319   AssignHexString(&b, "ABCDEF12346");
   1320   AssignHexString(&c, "123456789000000000ABCDEF12345");
   1321   CHECK_EQ(1, Bignum::PlusCompare(a, b, c));
   1322 
   1323   AssignHexString(&a, "1234567890");
   1324   a.ShiftLeft(11*4 + 32);
   1325   AssignHexString(&b, "ABCDEF12344");
   1326   AssignHexString(&c, "123456789000000000ABCDEF12345");
   1327   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
   1328 
   1329   AssignHexString(&a, "1234567890");
   1330   a.ShiftLeft(11*4 + 32);
   1331   AssignHexString(&b, "ABCDEF12345");
   1332   b.ShiftLeft(16);
   1333   AssignHexString(&c, "12345678900000ABCDEF123450000");
   1334   CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
   1335 
   1336   AssignHexString(&a, "1234567890");
   1337   a.ShiftLeft(11*4 + 32);
   1338   AssignHexString(&b, "ABCDEF12344");
   1339   b.ShiftLeft(16);
   1340   AssignHexString(&c, "12345678900000ABCDEF123450000");
   1341   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
   1342 
   1343   AssignHexString(&a, "1234567890");
   1344   a.ShiftLeft(11*4 + 32);
   1345   AssignHexString(&b, "ABCDEF12345");
   1346   b.ShiftLeft(16);
   1347   AssignHexString(&c, "12345678900000ABCDEF123450001");
   1348   CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
   1349 
   1350   AssignHexString(&a, "1234567890");
   1351   a.ShiftLeft(11*4 + 32);
   1352   AssignHexString(&b, "ABCDEF12346");
   1353   b.ShiftLeft(16);
   1354   AssignHexString(&c, "12345678900000ABCDEF123450000");
   1355   CHECK_EQ(+1, Bignum::PlusCompare(a, b, c));
   1356 }
   1357 
   1358 
   1359 TEST(Square) {
   1360   Bignum bignum;
   1361   char buffer[kBufferSize];
   1362 
   1363   bignum.AssignUInt16(1);
   1364   bignum.Square();
   1365   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1366   CHECK_EQ("1", buffer);
   1367 
   1368   bignum.AssignUInt16(2);
   1369   bignum.Square();
   1370   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1371   CHECK_EQ("4", buffer);
   1372 
   1373   bignum.AssignUInt16(10);
   1374   bignum.Square();
   1375   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1376   CHECK_EQ("64", buffer);
   1377 
   1378   AssignHexString(&bignum, "FFFFFFF");
   1379   bignum.Square();
   1380   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1381   CHECK_EQ("FFFFFFE0000001", buffer);
   1382 
   1383   AssignHexString(&bignum, "FFFFFFFFFFFFFF");
   1384   bignum.Square();
   1385   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1386   CHECK_EQ("FFFFFFFFFFFFFE00000000000001", buffer);
   1387 }
   1388 
   1389 
   1390 TEST(AssignPowerUInt16) {
   1391   Bignum bignum;
   1392   char buffer[kBufferSize];
   1393 
   1394   bignum.AssignPowerUInt16(1, 0);
   1395   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1396   CHECK_EQ("1", buffer);
   1397 
   1398   bignum.AssignPowerUInt16(1, 1);
   1399   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1400   CHECK_EQ("1", buffer);
   1401 
   1402   bignum.AssignPowerUInt16(1, 2);
   1403   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1404   CHECK_EQ("1", buffer);
   1405 
   1406   bignum.AssignPowerUInt16(2, 0);
   1407   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1408   CHECK_EQ("1", buffer);
   1409 
   1410   bignum.AssignPowerUInt16(2, 1);
   1411   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1412   CHECK_EQ("2", buffer);
   1413 
   1414   bignum.AssignPowerUInt16(2, 2);
   1415   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1416   CHECK_EQ("4", buffer);
   1417 
   1418   bignum.AssignPowerUInt16(16, 1);
   1419   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1420   CHECK_EQ("10", buffer);
   1421 
   1422   bignum.AssignPowerUInt16(16, 2);
   1423   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1424   CHECK_EQ("100", buffer);
   1425 
   1426   bignum.AssignPowerUInt16(16, 5);
   1427   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1428   CHECK_EQ("100000", buffer);
   1429 
   1430   bignum.AssignPowerUInt16(16, 8);
   1431   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1432   CHECK_EQ("100000000", buffer);
   1433 
   1434   bignum.AssignPowerUInt16(16, 16);
   1435   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1436   CHECK_EQ("10000000000000000", buffer);
   1437 
   1438   bignum.AssignPowerUInt16(16, 30);
   1439   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1440   CHECK_EQ("1000000000000000000000000000000", buffer);
   1441 
   1442   bignum.AssignPowerUInt16(10, 0);
   1443   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1444   CHECK_EQ("1", buffer);
   1445 
   1446   bignum.AssignPowerUInt16(10, 1);
   1447   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1448   CHECK_EQ("A", buffer);
   1449 
   1450   bignum.AssignPowerUInt16(10, 2);
   1451   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1452   CHECK_EQ("64", buffer);
   1453 
   1454   bignum.AssignPowerUInt16(10, 5);
   1455   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1456   CHECK_EQ("186A0", buffer);
   1457 
   1458   bignum.AssignPowerUInt16(10, 8);
   1459   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1460   CHECK_EQ("5F5E100", buffer);
   1461 
   1462   bignum.AssignPowerUInt16(10, 16);
   1463   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1464   CHECK_EQ("2386F26FC10000", buffer);
   1465 
   1466   bignum.AssignPowerUInt16(10, 30);
   1467   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1468   CHECK_EQ("C9F2C9CD04674EDEA40000000", buffer);
   1469 
   1470   bignum.AssignPowerUInt16(10, 31);
   1471   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1472   CHECK_EQ("7E37BE2022C0914B2680000000", buffer);
   1473 
   1474   bignum.AssignPowerUInt16(2, 0);
   1475   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1476   CHECK_EQ("1", buffer);
   1477 
   1478   bignum.AssignPowerUInt16(2, 100);
   1479   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1480   CHECK_EQ("10000000000000000000000000", buffer);
   1481 
   1482   bignum.AssignPowerUInt16(17, 0);
   1483   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1484   CHECK_EQ("1", buffer);
   1485 
   1486   bignum.AssignPowerUInt16(17, 99);
   1487   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1488   CHECK_EQ("1942BB9853FAD924A3D4DD92B89B940E0207BEF05DB9C26BC1B757"
   1489            "80BE0C5A2C2990E02A681224F34ED68558CE4C6E33760931",
   1490            buffer);
   1491 
   1492   bignum.AssignPowerUInt16(0xFFFF, 99);
   1493   CHECK(bignum.ToHexString(buffer, kBufferSize));
   1494   CHECK_EQ("FF9D12F09B886C54E77E7439C7D2DED2D34F669654C0C2B6B8C288250"
   1495            "5A2211D0E3DC9A61831349EAE674B11D56E3049D7BD79DAAD6C9FA2BA"
   1496            "528E3A794299F2EE9146A324DAFE3E88967A0358233B543E233E575B9"
   1497            "DD4E3AA7942146426C328FF55BFD5C45E0901B1629260AF9AE2F310C5"
   1498            "50959FAF305C30116D537D80CF6EBDBC15C5694062AF1AC3D956D0A41"
   1499            "B7E1B79FF11E21D83387A1CE1F5882B31E4B5D8DE415BDBE6854466DF"
   1500            "343362267A7E8833119D31D02E18DB5B0E8F6A64B0ED0D0062FFFF",
   1501            buffer);
   1502 }
   1503