src/v8/test/cctest/test-bignum.cc

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  27
  28 #include <stdlib.h>
  29
  30 #include "src/v8.h"
  31
  32 #include "src/base/platform/platform.h"
  33 #include "src/bignum.h"
  34 #include "test/cctest/cctest.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 }