/* Test suite for the library. First, it ``tests'' that all the constructs it * uses compile successfully. Then, its output to stdout is compared to the * expected output automatically extracted from slash-slash comments below. * * NOTE: For now, the test suite expects a 32-bit system. On others, some tests * may fail, and it may be ineffective at catching bugs. TODO: Remedy this. */ #include "BigIntegerLibrary.hh" #include #include using namespace std; // Evaluate expr and print the result or "error" as appropriate. #define TEST(expr) do {\ cout << "Line " << __LINE__ << ": ";\ try {\ cout << (expr);\ } catch (const char *err) {\ cout << "error";\ }\ cout << endl;\ } while (0) const BigUnsigned &check(const BigUnsigned &x) { unsigned int l = x.getLength(); if (l != 0 && x.getBlock(l-1) == 0) cout << "check: Unzapped number!" << endl; if (l > x.getCapacity()) cout << "check: Capacity inconsistent with length!" << endl; return x; } const BigInteger &check(const BigInteger &x) { if (x.getSign() == 0 && !x.getMagnitude().isZero()) cout << "check: Sign should not be zero!" << endl; if (x.getSign() != 0 && x.getMagnitude().isZero()) cout << "check: Sign should be zero!" << endl; check(x.getMagnitude()); return x; } short pathologicalShort = ~((unsigned short)(~0) >> 1); int pathologicalInt = ~((unsigned int)(~0) >> 1); long pathologicalLong = ~((unsigned long)(~0) >> 1); int main() { try { BigUnsigned z(0), one(1), ten(10); TEST(z); //0 TEST(1); //1 TEST(10); //10 // TODO: Comprehensively test the general and special cases of each function. // === Default constructors === TEST(check(BigUnsigned())); //0 TEST(check(BigInteger())); //0 // === Block-array constructors === BigUnsigned::Blk myBlocks[3]; myBlocks[0] = 3; myBlocks[1] = 4; myBlocks[2] = 0; BigUnsigned bu(myBlocks, 3); TEST(check(bu)); //17179869187 TEST(check(BigInteger(myBlocks, 3))); //17179869187 TEST(check(BigInteger(bu ))); //17179869187 // For nonzero magnitude, reject zero and invalid signs. TEST(check(BigInteger(myBlocks, 3, BigInteger::positive))); //17179869187 TEST(check(BigInteger(myBlocks, 3, BigInteger::negative))); //-17179869187 TEST(check(BigInteger(myBlocks, 3, BigInteger::zero ))); //error TEST(check(BigInteger(bu, BigInteger::positive))); //17179869187 TEST(check(BigInteger(bu, BigInteger::negative))); //-17179869187 TEST(check(BigInteger(bu, BigInteger::zero ))); //error // For zero magnitude, force the sign to zero without error. BigUnsigned::Blk myZeroBlocks[1]; myZeroBlocks[0] = 0; TEST(check(BigInteger(myZeroBlocks, 1, BigInteger::positive))); //0 TEST(check(BigInteger(myZeroBlocks, 1, BigInteger::negative))); //0 TEST(check(BigInteger(myZeroBlocks, 1, BigInteger::zero ))); //0 // === BigUnsigned conversion limits === TEST(BigUnsigned(0).toUnsignedLong()); //0 TEST(BigUnsigned(4294967295U).toUnsignedLong()); //4294967295 TEST(stringToBigUnsigned("4294967296").toUnsignedLong()); //error TEST(BigUnsigned(0).toLong()); //0 TEST(BigUnsigned(2147483647).toLong()); //2147483647 TEST(BigUnsigned(2147483648U).toLong()); //error // int is the same as long on a 32-bit system TEST(BigUnsigned(0).toUnsignedInt()); //0 TEST(BigUnsigned(4294967295U).toUnsignedInt()); //4294967295 TEST(stringToBigUnsigned("4294967296").toUnsignedInt()); //error TEST(BigUnsigned(0).toInt()); //0 TEST(BigUnsigned(2147483647).toInt()); //2147483647 TEST(BigUnsigned(2147483648U).toInt()); //error TEST(BigUnsigned(0).toUnsignedShort()); //0 TEST(BigUnsigned(65535).toUnsignedShort()); //65535 TEST(BigUnsigned(65536).toUnsignedShort()); //error TEST(BigUnsigned(0).toShort()); //0 TEST(BigUnsigned(32767).toShort()); //32767 TEST(BigUnsigned(32768).toShort()); //error // === BigInteger conversion limits === TEST(BigInteger(-1).toUnsignedLong()); //error TEST(BigInteger(0).toUnsignedLong()); //0 TEST(BigInteger(4294967295U).toUnsignedLong()); //4294967295 TEST(stringToBigInteger("4294967296").toUnsignedLong()); //error TEST(stringToBigInteger("-2147483649").toLong()); //error TEST(stringToBigInteger("-2147483648").toLong()); //-2147483648 TEST(BigInteger(-2147483647).toLong()); //-2147483647 TEST(BigInteger(0).toLong()); //0 TEST(BigInteger(2147483647).toLong()); //2147483647 TEST(BigInteger(2147483648U).toLong()); //error // int is the same as long on a 32-bit system TEST(BigInteger(-1).toUnsignedInt()); //error TEST(BigInteger(0).toUnsignedInt()); //0 TEST(BigInteger(4294967295U).toUnsignedInt()); //4294967295 TEST(stringToBigInteger("4294967296").toUnsignedInt()); //error TEST(stringToBigInteger("-2147483649").toInt()); //error TEST(stringToBigInteger("-2147483648").toInt()); //-2147483648 TEST(BigInteger(-2147483647).toInt()); //-2147483647 TEST(BigInteger(0).toInt()); //0 TEST(BigInteger(2147483647).toInt()); //2147483647 TEST(BigInteger(2147483648U).toInt()); //error TEST(BigInteger(-1).toUnsignedShort()); //error TEST(BigInteger(0).toUnsignedShort()); //0 TEST(BigInteger(65535).toUnsignedShort()); //65535 TEST(BigInteger(65536).toUnsignedShort()); //error TEST(BigInteger(-32769).toShort()); //error TEST(BigInteger(-32768).toShort()); //-32768 TEST(BigInteger(-32767).toShort()); //-32767 TEST(BigInteger(0).toShort()); //0 TEST(BigInteger(32767).toShort()); //32767 TEST(BigInteger(32768).toShort()); //error // === Negative BigUnsigneds === // ...during construction TEST(BigUnsigned(short(-1))); //error TEST(BigUnsigned(pathologicalShort)); //error TEST(BigUnsigned(-1)); //error TEST(BigUnsigned(pathologicalInt)); //error TEST(BigUnsigned(long(-1))); //error TEST(BigUnsigned(pathologicalLong)); //error // ...during subtraction TEST(BigUnsigned(5) - BigUnsigned(6)); //error TEST(stringToBigUnsigned("314159265358979323") - stringToBigUnsigned("314159265358979324")); //error TEST(check(BigUnsigned(5) - BigUnsigned(5))); //0 TEST(check(stringToBigUnsigned("314159265358979323") - stringToBigUnsigned("314159265358979323"))); //0 TEST(check(stringToBigUnsigned("4294967296") - BigUnsigned(1))); //4294967295 // === BigUnsigned addition === TEST(check(BigUnsigned(0) + 0)); //0 TEST(check(BigUnsigned(0) + 1)); //1 // Ordinary carry TEST(check(stringToBigUnsigned("8589934591" /* 2^33 - 1*/) + stringToBigUnsigned("4294967298" /* 2^32 + 2 */))); //12884901889 // Creation of a new block TEST(check(BigUnsigned(0xFFFFFFFFU) + 1)); //4294967296 // === BigUnsigned subtraction === TEST(check(BigUnsigned(1) - 0)); //1 TEST(check(BigUnsigned(1) - 1)); //0 TEST(check(BigUnsigned(2) - 1)); //1 // Ordinary borrow TEST(check(stringToBigUnsigned("12884901889") - stringToBigUnsigned("4294967298"))); //8589934591 // Borrow that removes a block TEST(check(stringToBigUnsigned("4294967296") - 1)); //4294967295 // === BigUnsigned multiplication and division === BigUnsigned a = check(BigUnsigned(314159265) * 358979323); TEST(a); //112776680263877595 TEST(a / 123); //916883579381118 TEST(a % 123); //81 TEST(BigUnsigned(5) / 0); //error // === Block accessors === BigUnsigned b; TEST(b); //0 TEST(b.getBlock(0)); //0 b.setBlock(1, 314); // Did b grow properly? And did we zero intermediate blocks? TEST(check(b)); //1348619730944 TEST(b.getLength()); //2 TEST(b.getBlock(0)); //0 TEST(b.getBlock(1)); //314 // Did b shrink properly? b.setBlock(1, 0); TEST(check(b)); //0 BigUnsigned bb(314); bb.setBlock(1, 159); // Make sure we used allocateAndCopy, not allocate TEST(bb.getBlock(0)); //314 TEST(bb.getBlock(1)); //159 // Blocks beyond the number should be zero regardless of whether they are // within the capacity. bb.add(1, 2); TEST(bb.getBlock(0)); //3 TEST(bb.getBlock(1)); //0 TEST(bb.getBlock(2)); //0 TEST(bb.getBlock(314159)); //0 // === Bit accessors === TEST(BigUnsigned(0).bitLength()); //0 TEST(BigUnsigned(1).bitLength()); //1 TEST(BigUnsigned(4095).bitLength()); //12 TEST(BigUnsigned(4096).bitLength()); //13 // 5 billion is between 2^32 (about 4 billion) and 2^33 (about 8 billion). TEST(stringToBigUnsigned("5000000000").bitLength()); //33 // 25 is binary 11001. BigUnsigned bbb(25); TEST(bbb.getBit(4)); //1 TEST(bbb.getBit(3)); //1 TEST(bbb.getBit(2)); //0 TEST(bbb.getBit(1)); //0 TEST(bbb.getBit(0)); //1 TEST(bbb.bitLength()); //5 // Effectively add 2^32. bbb.setBit(32, true); TEST(bbb); //4294967321 bbb.setBit(31, true); bbb.setBit(32, false); TEST(check(bbb)); //2147483673 // === Combining BigUnsigned, BigInteger, and primitive integers === BigUnsigned p1 = BigUnsigned(3) * 5; TEST(p1); //15 /* In this case, we would like g++ to implicitly promote the BigUnsigned to a * BigInteger, but it seems to prefer converting the -5 to a BigUnsigned, which * causes an error. If I take out constructors for BigUnsigned from signed * primitive integers, the BigUnsigned(3) becomes ambiguous, and if I take out * all the constructors but BigUnsigned(unsigned long), g++ uses that * constructor and gets a wrong (positive) answer. Thus, I think we'll just * have to live with this cast. */ BigInteger p2 = BigInteger(BigUnsigned(3)) * -5; TEST(p2); //-15 // === Test some previous bugs === { /* Test that BigInteger division sets the sign to zero. * Bug reported by David Allen. */ BigInteger num(3), denom(5), quotient; num.divideWithRemainder(denom, quotient); check(quotient); num = 5; num.divideWithRemainder(denom, quotient); check(num); } { /* Test that BigInteger subtraction sets the sign properly. * Bug reported by Samuel Larkin. */ BigInteger zero(0), three(3), ans; ans = zero - three; TEST(check(ans).getSign()); //-1 } { /* Test that BigInteger multiplication shifts bits properly on systems * where long is bigger than int. (Obviously, this would only catch the * bug when run on such a system.) * Bug reported by Mohand Mezmaz. */ BigInteger f=4; f*=3; TEST(check(f)); //12 } { /* Test that bitwise XOR allocates the larger length. * Bug reported by Sriram Sankararaman. */ BigUnsigned a(0), b(3), ans; ans = a ^ b; TEST(ans); //3 } { /* Test that an aliased multiplication works. * Bug reported by Boris Dessy. */ BigInteger num(5); num *= num; TEST(check(num)); //25 } { /* Test that BigUnsignedInABase(std::string) constructor rejects digits * too big for the specified base. * Bug reported by Niakam Kazemi. */ TEST(BigUnsignedInABase("f", 10)); //error } } catch (const char *err) { cout << "UNCAUGHT ERROR: " << err << endl; } return 0; } href='#n216'>216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499