| 1 | /**************************************************************************** |
| 2 | ** |
| 3 | ** Copyright (C) 2017 Intel Corporation. |
| 4 | ** Contact: https://www.qt.io/licensing/ |
| 5 | ** |
| 6 | ** This file is part of the test suite of the Qt Toolkit. |
| 7 | ** |
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| 17 | ** GNU General Public License Usage |
| 18 | ** Alternatively, this file may be used under the terms of the GNU |
| 19 | ** General Public License version 3 as published by the Free Software |
| 20 | ** Foundation with exceptions as appearing in the file LICENSE.GPL3-EXCEPT |
| 21 | ** included in the packaging of this file. Please review the following |
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| 27 | ****************************************************************************/ |
| 28 | |
| 29 | #include <QtTest> |
| 30 | #include <qlinkedlist.h> |
| 31 | #include <qobject.h> |
| 32 | #include <qrandom.h> |
| 33 | #include <qvector.h> |
| 34 | #include <private/qrandom_p.h> |
| 35 | |
| 36 | #include <algorithm> |
| 37 | #include <random> |
| 38 | |
| 39 | #if !QT_CONFIG(getentropy) && (defined(Q_OS_BSD4) || defined(Q_OS_WIN)) |
| 40 | # define HAVE_FALLBACK_ENGINE |
| 41 | #endif |
| 42 | |
| 43 | #define COMMA , |
| 44 | #define QVERIFY_3TIMES(statement) \ |
| 45 | do {\ |
| 46 | if (!static_cast<bool>(statement))\ |
| 47 | if (!static_cast<bool>(statement))\ |
| 48 | if (!QTest::qVerify(static_cast<bool>(statement), #statement, "3rd try", __FILE__, __LINE__))\ |
| 49 | return;\ |
| 50 | } while (0) |
| 51 | |
| 52 | // values chosen at random |
| 53 | static const quint32 RandomValue32 = 0x4d1169f1U; |
| 54 | static const quint64 RandomValue64 = Q_UINT64_C(0x3ce63161b998aa91); |
| 55 | static const double RandomValueFP = double(0.3010463714599609); |
| 56 | |
| 57 | static void setRNGControl(uint v) |
| 58 | { |
| 59 | #ifdef QT_BUILD_INTERNAL |
| 60 | qt_randomdevice_control.storeRelaxed(newValue: v); |
| 61 | #else |
| 62 | Q_UNUSED(v); |
| 63 | #endif |
| 64 | } |
| 65 | |
| 66 | class tst_QRandomGenerator : public QObject |
| 67 | { |
| 68 | Q_OBJECT |
| 69 | |
| 70 | public slots: |
| 71 | void cleanup() { setRNGControl(0); } |
| 72 | |
| 73 | private slots: |
| 74 | void basics(); |
| 75 | void knownSequence(); |
| 76 | void discard(); |
| 77 | void copying(); |
| 78 | void copyingGlobal(); |
| 79 | void copyingSystem(); |
| 80 | void systemRng(); |
| 81 | void securelySeeding(); |
| 82 | |
| 83 | void generate32_data(); |
| 84 | void generate32(); |
| 85 | void generate64_data() { generate32_data(); } |
| 86 | void generate64(); |
| 87 | void quality_data() { generate32_data(); } |
| 88 | void quality(); |
| 89 | void fillRangeUInt_data() { generate32_data(); } |
| 90 | void fillRangeUInt(); |
| 91 | void fillRangeULong_data() { generate32_data(); } |
| 92 | void fillRangeULong(); |
| 93 | void fillRangeULLong_data() { generate32_data(); } |
| 94 | void fillRangeULLong(); |
| 95 | void generateUInt_data() { generate32_data(); } |
| 96 | void generateUInt(); |
| 97 | void generateULLong_data() { generate32_data(); } |
| 98 | void generateULLong(); |
| 99 | void generateNonContiguous_data() { generate32_data(); } |
| 100 | void generateNonContiguous(); |
| 101 | |
| 102 | void bounded_data(); |
| 103 | void bounded(); |
| 104 | void boundedQuality_data() { generate32_data(); } |
| 105 | void boundedQuality(); |
| 106 | |
| 107 | void generateReal_data() { generate32_data(); } |
| 108 | void generateReal(); |
| 109 | void qualityReal_data() { generate32_data(); } |
| 110 | void qualityReal(); |
| 111 | |
| 112 | void seedStdRandomEngines(); |
| 113 | void stdUniformIntDistribution_data(); |
| 114 | void stdUniformIntDistribution(); |
| 115 | void stdGenerateCanonical_data() { generateReal_data(); } |
| 116 | void stdGenerateCanonical(); |
| 117 | void stdUniformRealDistribution_data(); |
| 118 | void stdUniformRealDistribution(); |
| 119 | void stdRandomDistributions(); |
| 120 | }; |
| 121 | |
| 122 | // The first 20 results of the sequence: |
| 123 | static const quint32 defaultRngResults[] = { |
| 124 | 853323747U, 2396352728U, 3025954838U, 2985633182U, 2815751046U, |
| 125 | 340588426U, 3587208406U, 298087538U, 2912478009U, 3642122814U, |
| 126 | 3202916223U, 799257577U, 1872145992U, 639469699U, 3201121432U, |
| 127 | 2388658094U, 1735523408U, 2215232359U, 668106566U, 2554687763U |
| 128 | }; |
| 129 | |
| 130 | |
| 131 | using namespace std; |
| 132 | QT_WARNING_DISABLE_GCC("-Wfloat-equal" ) |
| 133 | QT_WARNING_DISABLE_CLANG("-Wfloat-equal" ) |
| 134 | |
| 135 | struct RandomGenerator : public QRandomGenerator |
| 136 | { |
| 137 | RandomGenerator(uint control) |
| 138 | : QRandomGenerator(control ? |
| 139 | QRandomGenerator(control & RandomDataMask) : |
| 140 | *QRandomGenerator::global()) |
| 141 | { |
| 142 | setRNGControl(control); |
| 143 | } |
| 144 | }; |
| 145 | |
| 146 | void tst_QRandomGenerator::basics() |
| 147 | { |
| 148 | // default constructible |
| 149 | QRandomGenerator rng; |
| 150 | |
| 151 | // copyable && movable |
| 152 | rng = rng; |
| 153 | rng = std::move(rng); |
| 154 | |
| 155 | // 64-bit |
| 156 | QRandomGenerator64 rng64; |
| 157 | rng64 = rng64; |
| 158 | rng64 = std::move(rng64); |
| 159 | |
| 160 | // 32- and 64-bit should be interchangeable: |
| 161 | rng = rng64; |
| 162 | rng64 = rng; |
| 163 | rng = std::move(rng64); |
| 164 | rng64 = std::move(rng); |
| 165 | |
| 166 | rng = QRandomGenerator64::securelySeeded(); |
| 167 | rng64 = QRandomGenerator::securelySeeded(); |
| 168 | |
| 169 | // access global |
| 170 | QRandomGenerator *global = QRandomGenerator::global(); |
| 171 | QRandomGenerator globalCopy = *global; |
| 172 | globalCopy = *global; |
| 173 | QRandomGenerator64 *global64 = QRandomGenerator64::global(); |
| 174 | QRandomGenerator64 globalCopy64 = *global64; |
| 175 | globalCopy64 = *global64; |
| 176 | |
| 177 | // access system |
| 178 | QRandomGenerator *system = QRandomGenerator::system(); |
| 179 | QRandomGenerator systemRng = *system; |
| 180 | systemRng = *system; |
| 181 | |
| 182 | QRandomGenerator64 *system64 = QRandomGenerator64::system(); |
| 183 | QRandomGenerator64 systemRng64 = *system64; |
| 184 | systemRng64 = *system64; |
| 185 | |
| 186 | Q_STATIC_ASSERT(std::is_same<decltype(rng64.generate()) COMMA quint64>::value); |
| 187 | Q_STATIC_ASSERT(std::is_same<decltype(system64->generate()) COMMA quint64>::value); |
| 188 | } |
| 189 | |
| 190 | void tst_QRandomGenerator::knownSequence() |
| 191 | { |
| 192 | QRandomGenerator rng; |
| 193 | for (quint32 x : defaultRngResults) |
| 194 | QCOMPARE(rng(), x); |
| 195 | |
| 196 | // should work again if we reseed it |
| 197 | rng.seed(); |
| 198 | for (quint32 x : defaultRngResults) |
| 199 | QCOMPARE(rng(), x); |
| 200 | } |
| 201 | |
| 202 | void tst_QRandomGenerator::discard() |
| 203 | { |
| 204 | QRandomGenerator rng; |
| 205 | rng.discard(z: 1); |
| 206 | QCOMPARE(rng(), defaultRngResults[1]); |
| 207 | |
| 208 | rng.discard(z: 9); |
| 209 | QCOMPARE(rng(), defaultRngResults[11]); |
| 210 | } |
| 211 | |
| 212 | void tst_QRandomGenerator::copying() |
| 213 | { |
| 214 | QRandomGenerator rng1; |
| 215 | QRandomGenerator rng2 = rng1; |
| 216 | QCOMPARE(rng1, rng2); |
| 217 | |
| 218 | quint32 samples[20]; |
| 219 | rng1.fillRange(buffer&: samples); |
| 220 | |
| 221 | // not equal anymore |
| 222 | QVERIFY(rng1 != rng2); |
| 223 | |
| 224 | // should produce the same sequence, whichever it was |
| 225 | for (quint32 x : samples) |
| 226 | QCOMPARE(rng2(), x); |
| 227 | |
| 228 | // now they should compare equal again |
| 229 | QCOMPARE(rng1, rng2); |
| 230 | } |
| 231 | |
| 232 | void tst_QRandomGenerator::copyingGlobal() |
| 233 | { |
| 234 | QRandomGenerator &global = *QRandomGenerator::global(); |
| 235 | QRandomGenerator copy = global; |
| 236 | QCOMPARE(copy, global); |
| 237 | QCOMPARE(global, copy); |
| 238 | |
| 239 | quint32 samples[20]; |
| 240 | global.fillRange(buffer&: samples); |
| 241 | |
| 242 | // not equal anymore |
| 243 | QVERIFY(copy != global); |
| 244 | |
| 245 | // should produce the same sequence, whichever it was |
| 246 | for (quint32 x : samples) |
| 247 | QCOMPARE(copy(), x); |
| 248 | |
| 249 | // equal again |
| 250 | QCOMPARE(copy, global); |
| 251 | QCOMPARE(global, copy); |
| 252 | } |
| 253 | |
| 254 | void tst_QRandomGenerator::copyingSystem() |
| 255 | { |
| 256 | QRandomGenerator &system = *QRandomGenerator::system(); |
| 257 | QRandomGenerator copy = system; |
| 258 | QRandomGenerator copy2 = copy; |
| 259 | copy2 = copy; |
| 260 | QCOMPARE(system, copy); |
| 261 | QCOMPARE(copy, copy2); |
| 262 | |
| 263 | quint32 samples[20]; |
| 264 | copy2.fillRange(buffer&: samples); |
| 265 | |
| 266 | // they still compre equally |
| 267 | QCOMPARE(system, copy); |
| 268 | QCOMPARE(copy, copy2); |
| 269 | |
| 270 | // should NOT produce the same sequence, whichever it was |
| 271 | int sameCount = 0; |
| 272 | for (quint32 x : samples) |
| 273 | sameCount += (copy() == x); |
| 274 | QVERIFY(sameCount < 20); |
| 275 | |
| 276 | QCOMPARE(system, copy); |
| 277 | QCOMPARE(copy, copy2); |
| 278 | } |
| 279 | |
| 280 | void tst_QRandomGenerator::systemRng() |
| 281 | { |
| 282 | QRandomGenerator *rng = QRandomGenerator::system(); |
| 283 | rng->generate(); |
| 284 | rng->generate64(); |
| 285 | rng->generateDouble(); |
| 286 | rng->bounded(highest: 100); |
| 287 | rng->bounded(highest: 100U); |
| 288 | |
| 289 | #ifdef QT_BUILD_INTERNAL |
| 290 | quint32 setpoint = std::numeric_limits<int>::max(); |
| 291 | ++setpoint; |
| 292 | quint64 setpoint64 = quint64(setpoint) << 32 | setpoint; |
| 293 | setRNGControl(SetRandomData | setpoint); |
| 294 | |
| 295 | QCOMPARE(rng->generate(), setpoint); |
| 296 | QCOMPARE(rng->generate64(), setpoint64); |
| 297 | QCOMPARE(rng->generateDouble(), ldexp(setpoint64, -64)); |
| 298 | QCOMPARE(rng->bounded(100), 50); |
| 299 | #endif |
| 300 | } |
| 301 | |
| 302 | void tst_QRandomGenerator::securelySeeding() |
| 303 | { |
| 304 | QRandomGenerator rng1 = QRandomGenerator::securelySeeded(); |
| 305 | QRandomGenerator rng2 = QRandomGenerator::securelySeeded(); |
| 306 | |
| 307 | quint32 samples[20]; |
| 308 | rng1.fillRange(buffer&: samples); |
| 309 | |
| 310 | // should NOT produce the same sequence, whichever it was |
| 311 | int sameCount = 0; |
| 312 | for (quint32 x : samples) |
| 313 | sameCount += (rng2() == x); |
| 314 | QVERIFY(sameCount < 20); |
| 315 | } |
| 316 | |
| 317 | void tst_QRandomGenerator::generate32_data() |
| 318 | { |
| 319 | QTest::addColumn<uint>(name: "control" ); |
| 320 | QTest::newRow(dataTag: "fixed" ) << (RandomValue32 & RandomDataMask); |
| 321 | QTest::newRow(dataTag: "global" ) << 0U; |
| 322 | #ifdef QT_BUILD_INTERNAL |
| 323 | if (qHasHwrng()) |
| 324 | QTest::newRow(dataTag: "hwrng" ) << uint(UseSystemRNG); |
| 325 | QTest::newRow(dataTag: "system" ) << uint(UseSystemRNG | SkipHWRNG); |
| 326 | # ifdef HAVE_FALLBACK_ENGINE |
| 327 | QTest::newRow("system-fallback" ) << uint(UseSystemRNG | SkipHWRNG | SkipSystemRNG); |
| 328 | # endif |
| 329 | #endif |
| 330 | } |
| 331 | |
| 332 | void tst_QRandomGenerator::generate32() |
| 333 | { |
| 334 | QFETCH(uint, control); |
| 335 | RandomGenerator rng(control); |
| 336 | |
| 337 | for (int i = 0; i < 4; ++i) { |
| 338 | QVERIFY_3TIMES([&] { |
| 339 | quint32 value = rng.generate(); |
| 340 | return value != 0 && value != RandomValue32; |
| 341 | }()); |
| 342 | } |
| 343 | |
| 344 | // and should hopefully be different from repeated calls |
| 345 | for (int i = 0; i < 4; ++i) |
| 346 | QVERIFY_3TIMES(rng.generate() != rng.generate()); |
| 347 | } |
| 348 | |
| 349 | void tst_QRandomGenerator::generate64() |
| 350 | { |
| 351 | QFETCH(uint, control); |
| 352 | RandomGenerator rng(control); |
| 353 | |
| 354 | QVERIFY_3TIMES(rng.generate64() > std::numeric_limits<quint32>::max()); |
| 355 | for (int i = 0; i < 4; ++i) { |
| 356 | QVERIFY_3TIMES([&] { |
| 357 | quint64 value = rng.generate64(); |
| 358 | return value != 0 && value != RandomValue32 && value != RandomValue64; |
| 359 | }()); |
| 360 | } |
| 361 | |
| 362 | // and should hopefully be different from repeated calls |
| 363 | for (int i = 0; i < 4; ++i) |
| 364 | QVERIFY_3TIMES(rng.generate64() != rng.generate64()); |
| 365 | for (int i = 0; i < 4; ++i) |
| 366 | QVERIFY_3TIMES(rng.generate() != quint32(rng.generate64())); |
| 367 | for (int i = 0; i < 4; ++i) |
| 368 | QVERIFY_3TIMES(rng.generate() != (rng.generate64() >> 32)); |
| 369 | } |
| 370 | |
| 371 | void tst_QRandomGenerator::quality() |
| 372 | { |
| 373 | enum { |
| 374 | BufferSize = 2048, |
| 375 | BufferCount = BufferSize / sizeof(quint32), |
| 376 | |
| 377 | // if the distribution were perfect, each byte in the buffer would |
| 378 | // appear exactly: |
| 379 | PerfectDistribution = BufferSize / (UCHAR_MAX + 1), |
| 380 | |
| 381 | // The chance of a value appearing N times above its perfect |
| 382 | // distribution is the same as it appearing N times in a row: |
| 383 | // N Probability |
| 384 | // 1 100% |
| 385 | // 2 0.390625% |
| 386 | // 3 15.25 in a million |
| 387 | // 4 59.60 in a billion |
| 388 | // 8 5.421e-20 |
| 389 | // 16 2.938e-39 |
| 390 | |
| 391 | AcceptableThreshold = 4 * PerfectDistribution, |
| 392 | FailureThreshold = 16 * PerfectDistribution |
| 393 | }; |
| 394 | Q_STATIC_ASSERT(FailureThreshold > AcceptableThreshold); |
| 395 | |
| 396 | QFETCH(uint, control); |
| 397 | if (control & RandomDataMask) |
| 398 | return; |
| 399 | RandomGenerator rng(control); |
| 400 | |
| 401 | int histogram[UCHAR_MAX + 1]; |
| 402 | memset(s: histogram, c: 0, n: sizeof(histogram)); |
| 403 | |
| 404 | { |
| 405 | // test the quality of the generator |
| 406 | quint32 buffer[BufferCount]; |
| 407 | memset(s: buffer, c: 0xcc, n: sizeof(buffer)); |
| 408 | generate_n(first: buffer, n: +BufferCount, gen: [&] { return rng.generate(); }); |
| 409 | |
| 410 | quint8 *ptr = reinterpret_cast<quint8 *>(buffer); |
| 411 | quint8 *end = ptr + sizeof(buffer); |
| 412 | for ( ; ptr != end; ++ptr) |
| 413 | histogram[*ptr]++; |
| 414 | } |
| 415 | |
| 416 | for (uint i = 0; i < sizeof(histogram)/sizeof(histogram[0]); ++i) { |
| 417 | int v = histogram[i]; |
| 418 | if (v > AcceptableThreshold) |
| 419 | qDebug() << i << "above threshold:" << v; |
| 420 | QVERIFY2(v < FailureThreshold, QByteArray::number(i)); |
| 421 | } |
| 422 | qDebug() << "Average:" << (std::accumulate(first: begin(arr&: histogram), last: end(arr&: histogram), init: 0) / (1. * (UCHAR_MAX + 1))) |
| 423 | << "(expected" << int(PerfectDistribution) << "ideally)" |
| 424 | << "Max:" << *std::max_element(first: begin(arr&: histogram), last: end(arr&: histogram)) |
| 425 | << "at" << std::max_element(first: begin(arr&: histogram), last: end(arr&: histogram)) - histogram |
| 426 | << "Min:" << *std::min_element(first: begin(arr&: histogram), last: end(arr&: histogram)) |
| 427 | << "at" << std::min_element(first: begin(arr&: histogram), last: end(arr&: histogram)) - histogram; |
| 428 | } |
| 429 | |
| 430 | template <typename T> void fillRange_template() |
| 431 | { |
| 432 | QFETCH(uint, control); |
| 433 | RandomGenerator rng(control); |
| 434 | |
| 435 | for (int i = 0; i < 4; ++i) { |
| 436 | QVERIFY_3TIMES([&] { |
| 437 | T value[1] = { RandomValue32 }; |
| 438 | rng.fillRange(value); |
| 439 | return value[0] != 0 && value[0] != RandomValue32; |
| 440 | }()); |
| 441 | } |
| 442 | |
| 443 | for (int i = 0; i < 4; ++i) { |
| 444 | QVERIFY_3TIMES([&] { |
| 445 | T array[2] = {}; |
| 446 | rng.fillRange(array); |
| 447 | return array[0] != array[1]; |
| 448 | }()); |
| 449 | } |
| 450 | |
| 451 | if (sizeof(T) > sizeof(quint32)) { |
| 452 | // just to shut up a warning about shifting uint more than the width |
| 453 | enum { Shift = sizeof(T) / 2 * CHAR_BIT }; |
| 454 | QVERIFY_3TIMES([&] { |
| 455 | T value[1] = { }; |
| 456 | rng.fillRange(value); |
| 457 | return quint32(value[0] >> Shift) != quint32(value[0]); |
| 458 | }()); |
| 459 | } |
| 460 | |
| 461 | // fill in a longer range |
| 462 | auto longerArrayCheck = [&] { |
| 463 | T array[32]; |
| 464 | memset(array, 0, sizeof(array)); |
| 465 | rng.fillRange(array); |
| 466 | if (sizeof(T) == sizeof(RandomValue64) |
| 467 | && find(begin(array), end(array), RandomValue64) != end(array)) |
| 468 | return false; |
| 469 | return find(begin(array), end(array), 0) == end(array) && |
| 470 | find(begin(array), end(array), RandomValue32) == end(array); |
| 471 | }; |
| 472 | QVERIFY_3TIMES(longerArrayCheck()); |
| 473 | } |
| 474 | |
| 475 | void tst_QRandomGenerator::fillRangeUInt() { fillRange_template<uint>(); } |
| 476 | void tst_QRandomGenerator::fillRangeULong() { fillRange_template<ulong>(); } |
| 477 | void tst_QRandomGenerator::fillRangeULLong() { fillRange_template<qulonglong>(); } |
| 478 | |
| 479 | template <typename T> void generate_template() |
| 480 | { |
| 481 | QFETCH(uint, control); |
| 482 | RandomGenerator rng(control); |
| 483 | |
| 484 | // almost the same as fillRange, but limited to 32 bits |
| 485 | for (int i = 0; i < 4; ++i) { |
| 486 | QVERIFY_3TIMES([&] { |
| 487 | T value[1] = { RandomValue32 }; |
| 488 | QRandomGenerator().generate(begin(value), end(value)); |
| 489 | return value[0] != 0 && value[0] != RandomValue32 |
| 490 | && value[0] <= numeric_limits<quint32>::max(); |
| 491 | }()); |
| 492 | } |
| 493 | |
| 494 | // fill in a longer range |
| 495 | auto longerArrayCheck = [&] { |
| 496 | T array[72] = {}; // at least 256 bytes |
| 497 | QRandomGenerator().generate(begin(array), end(array)); |
| 498 | return find_if(begin(array), end(array), [&](T cur) { |
| 499 | return cur == 0 || cur == RandomValue32 || |
| 500 | cur == RandomValue64 || cur > numeric_limits<quint32>::max(); |
| 501 | }) == end(array); |
| 502 | }; |
| 503 | QVERIFY_3TIMES(longerArrayCheck()); |
| 504 | } |
| 505 | |
| 506 | void tst_QRandomGenerator::generateUInt() { generate_template<uint>(); } |
| 507 | void tst_QRandomGenerator::generateULLong() { generate_template<qulonglong>(); } |
| 508 | |
| 509 | void tst_QRandomGenerator::generateNonContiguous() |
| 510 | { |
| 511 | QFETCH(uint, control); |
| 512 | RandomGenerator rng(control); |
| 513 | |
| 514 | std::list<quint64> list(8); |
| 515 | auto longerArrayCheck = [&] { |
| 516 | QRandomGenerator().generate(begin: list.begin(), end: list.end()); |
| 517 | return find_if(first: list.begin(), last: list.end(), pred: [&](quint64 cur) { |
| 518 | return cur == 0 || cur == RandomValue32 || |
| 519 | cur == RandomValue64 || cur > numeric_limits<quint32>::max(); |
| 520 | }) == list.end(); |
| 521 | }; |
| 522 | QVERIFY_3TIMES(longerArrayCheck()); |
| 523 | } |
| 524 | |
| 525 | void tst_QRandomGenerator::bounded_data() |
| 526 | { |
| 527 | #ifndef QT_BUILD_INTERNAL |
| 528 | QSKIP("Test only possible in developer builds" ); |
| 529 | #endif |
| 530 | |
| 531 | QTest::addColumn<uint>(name: "control" ); |
| 532 | QTest::addColumn<quint32>(name: "sup" ); |
| 533 | QTest::addColumn<quint32>(name: "expected" ); |
| 534 | |
| 535 | auto newRow = [&](quint32 val, quint32 sup) { |
| 536 | // calculate the scaled value |
| 537 | quint64 scaled = val; |
| 538 | scaled <<= 32; |
| 539 | scaled /= sup; |
| 540 | unsigned shifted = unsigned(scaled); |
| 541 | Q_ASSERT(val < sup); |
| 542 | Q_ASSERT((shifted & RandomDataMask) == shifted); |
| 543 | |
| 544 | unsigned control = SetRandomData | shifted; |
| 545 | QTest::addRow(format: "%u,%u" , val, sup) << control << sup << val; |
| 546 | }; |
| 547 | |
| 548 | // useless: we can only generate zeroes: |
| 549 | newRow(0, 1); |
| 550 | |
| 551 | newRow(25, 200); |
| 552 | newRow(50, 200); |
| 553 | newRow(75, 200); |
| 554 | } |
| 555 | |
| 556 | void tst_QRandomGenerator::bounded() |
| 557 | { |
| 558 | QFETCH(uint, control); |
| 559 | QFETCH(quint32, sup); |
| 560 | QFETCH(quint32, expected); |
| 561 | RandomGenerator rng(control); |
| 562 | |
| 563 | quint32 value = rng.bounded(highest: sup); |
| 564 | QVERIFY(value < sup); |
| 565 | QCOMPARE(value, expected); |
| 566 | |
| 567 | int ivalue = rng.bounded(highest: sup); |
| 568 | QVERIFY(ivalue < int(sup)); |
| 569 | QCOMPARE(ivalue, int(expected)); |
| 570 | |
| 571 | // confirm only the bound now |
| 572 | setRNGControl(control & (SkipHWRNG|SkipSystemRNG|UseSystemRNG)); |
| 573 | value = rng.bounded(highest: sup); |
| 574 | QVERIFY(value < sup); |
| 575 | |
| 576 | value = rng.bounded(lowest: sup / 2, highest: 3 * sup / 2); |
| 577 | QVERIFY(value >= sup / 2); |
| 578 | QVERIFY(value < 3 * sup / 2); |
| 579 | |
| 580 | ivalue = rng.bounded(lowest: -int(sup), highest: int(sup)); |
| 581 | QVERIFY(ivalue >= -int(sup)); |
| 582 | QVERIFY(ivalue < int(sup)); |
| 583 | |
| 584 | // wholly negative range |
| 585 | ivalue = rng.bounded(lowest: -int(sup), highest: 0); |
| 586 | QVERIFY(ivalue >= -int(sup)); |
| 587 | QVERIFY(ivalue < 0); |
| 588 | } |
| 589 | |
| 590 | void tst_QRandomGenerator::boundedQuality() |
| 591 | { |
| 592 | enum { Bound = 283 }; // a prime number |
| 593 | enum { |
| 594 | BufferCount = Bound * 32, |
| 595 | |
| 596 | // if the distribution were perfect, each byte in the buffer would |
| 597 | // appear exactly: |
| 598 | PerfectDistribution = BufferCount / Bound, |
| 599 | |
| 600 | // The chance of a value appearing N times above its perfect |
| 601 | // distribution is the same as it appearing N times in a row: |
| 602 | // N Probability |
| 603 | // 1 100% |
| 604 | // 2 0.390625% |
| 605 | // 3 15.25 in a million |
| 606 | // 4 59.60 in a billion |
| 607 | // 8 5.421e-20 |
| 608 | // 16 2.938e-39 |
| 609 | |
| 610 | AcceptableThreshold = 4 * PerfectDistribution, |
| 611 | FailureThreshold = 16 * PerfectDistribution |
| 612 | }; |
| 613 | Q_STATIC_ASSERT(FailureThreshold > AcceptableThreshold); |
| 614 | |
| 615 | QFETCH(uint, control); |
| 616 | if (control & RandomDataMask) |
| 617 | return; |
| 618 | RandomGenerator rng(control); |
| 619 | |
| 620 | int histogram[Bound]; |
| 621 | memset(s: histogram, c: 0, n: sizeof(histogram)); |
| 622 | |
| 623 | { |
| 624 | // test the quality of the generator |
| 625 | QVector<quint32> buffer(BufferCount, 0xcdcdcdcd); |
| 626 | generate(first: buffer.begin(), last: buffer.end(), gen: [&] { return rng.bounded(highest: Bound); }); |
| 627 | |
| 628 | for (quint32 value : qAsConst(t&: buffer)) { |
| 629 | QVERIFY(value < Bound); |
| 630 | histogram[value]++; |
| 631 | } |
| 632 | } |
| 633 | |
| 634 | for (unsigned i = 0; i < sizeof(histogram)/sizeof(histogram[0]); ++i) { |
| 635 | int v = histogram[i]; |
| 636 | if (v > AcceptableThreshold) |
| 637 | qDebug() << i << "above threshold:" << v; |
| 638 | QVERIFY2(v < FailureThreshold, QByteArray::number(i)); |
| 639 | } |
| 640 | |
| 641 | qDebug() << "Average:" << (std::accumulate(first: begin(arr&: histogram), last: end(arr&: histogram), init: 0) / qreal(Bound)) |
| 642 | << "(expected" << int(PerfectDistribution) << "ideally)" |
| 643 | << "Max:" << *std::max_element(first: begin(arr&: histogram), last: end(arr&: histogram)) |
| 644 | << "at" << std::max_element(first: begin(arr&: histogram), last: end(arr&: histogram)) - histogram |
| 645 | << "Min:" << *std::min_element(first: begin(arr&: histogram), last: end(arr&: histogram)) |
| 646 | << "at" << std::min_element(first: begin(arr&: histogram), last: end(arr&: histogram)) - histogram; |
| 647 | } |
| 648 | |
| 649 | void tst_QRandomGenerator::generateReal() |
| 650 | { |
| 651 | QFETCH(uint, control); |
| 652 | RandomGenerator rng(control); |
| 653 | |
| 654 | for (int i = 0; i < 4; ++i) { |
| 655 | QVERIFY_3TIMES([&] { |
| 656 | qreal value = rng.generateDouble(); |
| 657 | return value >= 0 && value < 1 && value != RandomValueFP; |
| 658 | }()); |
| 659 | } |
| 660 | |
| 661 | // and should hopefully be different from repeated calls |
| 662 | for (int i = 0; i < 4; ++i) |
| 663 | QVERIFY_3TIMES(rng.generateDouble() != rng.generateDouble()); |
| 664 | } |
| 665 | |
| 666 | void tst_QRandomGenerator::qualityReal() |
| 667 | { |
| 668 | QFETCH(uint, control); |
| 669 | if (control & RandomDataMask) |
| 670 | return; |
| 671 | RandomGenerator rng(control); |
| 672 | |
| 673 | enum { |
| 674 | SampleSize = 16000, |
| 675 | |
| 676 | // Expected value: sample size times proportion of the range: |
| 677 | PerfectOctile = SampleSize / 8, |
| 678 | PerfectHalf = SampleSize / 2, |
| 679 | |
| 680 | // Variance is (1 - proportion of range) * expected; sqrt() for standard deviations. |
| 681 | // Should usually be within twice that and almost never outside four times: |
| 682 | RangeHalf = 252, // floor(4 * sqrt((1 - 0.5) * PerfectHalf)) |
| 683 | RangeOctile = 167 // floor(4 * sqrt((1 - 0.125) * PerfectOctile)) |
| 684 | }; |
| 685 | |
| 686 | double data[SampleSize]; |
| 687 | std::generate(first: std::begin(arr&: data), last: std::end(arr&: data), gen: [&rng] { return rng.generateDouble(); }); |
| 688 | |
| 689 | int aboveHalf = 0; |
| 690 | int belowOneEighth = 0; |
| 691 | int aboveSevenEighths = 0; |
| 692 | for (double x : data) { |
| 693 | aboveHalf += x >= 0.5; |
| 694 | belowOneEighth += x < 0.125; |
| 695 | aboveSevenEighths += x >= 0.875; |
| 696 | |
| 697 | // these are strict requirements |
| 698 | QVERIFY(x >= 0); |
| 699 | QVERIFY(x < 1); |
| 700 | } |
| 701 | |
| 702 | qInfo(msg: "Halfway distribution: %.1f - %.1f" , 100. * aboveHalf / SampleSize, 100 - 100. * aboveHalf / SampleSize); |
| 703 | qInfo(msg: "%.1f below 1/8 (expected 12.5%% ideally)" , 100. * belowOneEighth / SampleSize); |
| 704 | qInfo(msg: "%.1f above 7/8 (expected 12.5%% ideally)" , 100. * aboveSevenEighths / SampleSize); |
| 705 | |
| 706 | QVERIFY(aboveHalf < PerfectHalf + RangeHalf); |
| 707 | QVERIFY(aboveHalf > PerfectHalf - RangeHalf); |
| 708 | QVERIFY(aboveSevenEighths < PerfectOctile + RangeOctile); |
| 709 | QVERIFY(aboveSevenEighths > PerfectOctile - RangeOctile); |
| 710 | QVERIFY(belowOneEighth < PerfectOctile + RangeOctile); |
| 711 | QVERIFY(belowOneEighth > PerfectOctile - RangeOctile); |
| 712 | } |
| 713 | |
| 714 | template <typename Engine> void seedStdRandomEngine() |
| 715 | { |
| 716 | { |
| 717 | QRandomGenerator &rd = *QRandomGenerator::system(); |
| 718 | Engine e(rd); |
| 719 | QVERIFY_3TIMES(e() != 0); |
| 720 | |
| 721 | e.seed(rd); |
| 722 | QVERIFY_3TIMES(e() != 0); |
| 723 | } |
| 724 | { |
| 725 | QRandomGenerator64 &rd = *QRandomGenerator64::system(); |
| 726 | Engine e(rd); |
| 727 | QVERIFY_3TIMES(e() != 0); |
| 728 | |
| 729 | e.seed(rd); |
| 730 | QVERIFY_3TIMES(e() != 0); |
| 731 | } |
| 732 | } |
| 733 | |
| 734 | void tst_QRandomGenerator::seedStdRandomEngines() |
| 735 | { |
| 736 | seedStdRandomEngine<std::default_random_engine>(); |
| 737 | seedStdRandomEngine<std::minstd_rand0>(); |
| 738 | seedStdRandomEngine<std::minstd_rand>(); |
| 739 | seedStdRandomEngine<std::mt19937>(); |
| 740 | seedStdRandomEngine<std::mt19937_64>(); |
| 741 | seedStdRandomEngine<std::ranlux24_base>(); |
| 742 | seedStdRandomEngine<std::ranlux48_base>(); |
| 743 | seedStdRandomEngine<std::ranlux24>(); |
| 744 | seedStdRandomEngine<std::ranlux48>(); |
| 745 | } |
| 746 | |
| 747 | void tst_QRandomGenerator::stdUniformIntDistribution_data() |
| 748 | { |
| 749 | #ifndef QT_BUILD_INTERNAL |
| 750 | QSKIP("Test only possible in developer builds" ); |
| 751 | #endif |
| 752 | |
| 753 | QTest::addColumn<uint>(name: "control" ); |
| 754 | QTest::addColumn<quint32>(name: "max" ); |
| 755 | |
| 756 | auto newRow = [&](quint32 max) { |
| 757 | #ifdef QT_BUILD_INTERNAL |
| 758 | if (qHasHwrng()) |
| 759 | QTest::addRow(format: "hwrng:%u" , max) << uint(UseSystemRNG) << max; |
| 760 | QTest::addRow(format: "system:%u" , max) << uint(UseSystemRNG | SkipHWRNG) << max; |
| 761 | # ifdef HAVE_FALLBACK_ENGINE |
| 762 | QTest::addRow("system-fallback:%u" , max) << uint(UseSystemRNG | SkipHWRNG | SkipSystemRNG) << max; |
| 763 | # endif |
| 764 | #endif |
| 765 | QTest::addRow(format: "global:%u" , max) << 0U << max; |
| 766 | }; |
| 767 | |
| 768 | // useless: we can only generate zeroes: |
| 769 | newRow(0); |
| 770 | |
| 771 | newRow(1); |
| 772 | newRow(199); |
| 773 | newRow(numeric_limits<quint32>::max()); |
| 774 | } |
| 775 | |
| 776 | void tst_QRandomGenerator::stdUniformIntDistribution() |
| 777 | { |
| 778 | QFETCH(uint, control); |
| 779 | QFETCH(quint32, max); |
| 780 | RandomGenerator rng(control); |
| 781 | |
| 782 | { |
| 783 | QRandomGenerator rd; |
| 784 | { |
| 785 | std::uniform_int_distribution<quint32> dist(0, max); |
| 786 | quint32 value = dist(rd); |
| 787 | QVERIFY(value >= dist.min()); |
| 788 | QVERIFY(value <= dist.max()); |
| 789 | } |
| 790 | if ((3 * max / 2) > max) { |
| 791 | std::uniform_int_distribution<quint32> dist(max / 2, 3 * max / 2); |
| 792 | quint32 value = dist(rd); |
| 793 | QVERIFY(value >= dist.min()); |
| 794 | QVERIFY(value <= dist.max()); |
| 795 | } |
| 796 | |
| 797 | { |
| 798 | std::uniform_int_distribution<quint64> dist(0, quint64(max) << 32); |
| 799 | quint64 value = dist(rd); |
| 800 | QVERIFY(value >= dist.min()); |
| 801 | QVERIFY(value <= dist.max()); |
| 802 | } |
| 803 | { |
| 804 | std::uniform_int_distribution<quint64> dist(max / 2, 3 * quint64(max) / 2); |
| 805 | quint64 value = dist(rd); |
| 806 | QVERIFY(value >= dist.min()); |
| 807 | QVERIFY(value <= dist.max()); |
| 808 | } |
| 809 | } |
| 810 | |
| 811 | { |
| 812 | QRandomGenerator64 rd; |
| 813 | { |
| 814 | std::uniform_int_distribution<quint32> dist(0, max); |
| 815 | quint32 value = dist(rd); |
| 816 | QVERIFY(value >= dist.min()); |
| 817 | QVERIFY(value <= dist.max()); |
| 818 | } |
| 819 | if ((3 * max / 2) > max) { |
| 820 | std::uniform_int_distribution<quint32> dist(max / 2, 3 * max / 2); |
| 821 | quint32 value = dist(rd); |
| 822 | QVERIFY(value >= dist.min()); |
| 823 | QVERIFY(value <= dist.max()); |
| 824 | } |
| 825 | |
| 826 | { |
| 827 | std::uniform_int_distribution<quint64> dist(0, quint64(max) << 32); |
| 828 | quint64 value = dist(rd); |
| 829 | QVERIFY(value >= dist.min()); |
| 830 | QVERIFY(value <= dist.max()); |
| 831 | } |
| 832 | { |
| 833 | std::uniform_int_distribution<quint64> dist(max / 2, 3 * quint64(max) / 2); |
| 834 | quint64 value = dist(rd); |
| 835 | QVERIFY(value >= dist.min()); |
| 836 | QVERIFY(value <= dist.max()); |
| 837 | } |
| 838 | } |
| 839 | } |
| 840 | |
| 841 | void tst_QRandomGenerator::stdGenerateCanonical() |
| 842 | { |
| 843 | QFETCH(uint, control); |
| 844 | RandomGenerator rng(control); |
| 845 | |
| 846 | for (int i = 0; i < 4; ++i) { |
| 847 | QVERIFY_3TIMES([&] { |
| 848 | qreal value = std::generate_canonical<qreal COMMA 32>(rng); |
| 849 | return value > 0 && value < 1 && value != RandomValueFP; |
| 850 | }()); |
| 851 | } |
| 852 | |
| 853 | // and should hopefully be different from repeated calls |
| 854 | for (int i = 0; i < 4; ++i) |
| 855 | QVERIFY_3TIMES(std::generate_canonical<qreal COMMA 32>(rng) != |
| 856 | std::generate_canonical<qreal COMMA 32>(rng)); |
| 857 | } |
| 858 | |
| 859 | void tst_QRandomGenerator::stdUniformRealDistribution_data() |
| 860 | { |
| 861 | #ifndef QT_BUILD_INTERNAL |
| 862 | QSKIP("Test only possible in developer builds" ); |
| 863 | #endif |
| 864 | |
| 865 | QTest::addColumn<uint>(name: "control" ); |
| 866 | QTest::addColumn<double>(name: "min" ); |
| 867 | QTest::addColumn<double>(name: "sup" ); |
| 868 | |
| 869 | auto newRow = [&](double min, double sup) { |
| 870 | #ifdef QT_BUILD_INTERNAL |
| 871 | if (qHasHwrng()) |
| 872 | QTest::addRow(format: "hwrng:%g-%g" , min, sup) << uint(UseSystemRNG) << min << sup; |
| 873 | QTest::addRow(format: "system:%g-%g" , min, sup) << uint(UseSystemRNG | SkipHWRNG) << min << sup; |
| 874 | # ifdef HAVE_FALLBACK_ENGINE |
| 875 | QTest::addRow("system-fallback:%g-%g" , min, sup) << uint(UseSystemRNG | SkipHWRNG | SkipSystemRNG) << min << sup; |
| 876 | # endif |
| 877 | #endif |
| 878 | QTest::addRow(format: "global:%g-%g" , min, sup) << 0U << min << sup; |
| 879 | }; |
| 880 | |
| 881 | newRow(0, 0); // useless: we can only generate zeroes |
| 882 | newRow(0, 1); // canonical |
| 883 | newRow(0, 200); |
| 884 | newRow(0, numeric_limits<quint32>::max() + 1.); |
| 885 | newRow(0, numeric_limits<quint64>::max() + 1.); |
| 886 | newRow(-1, 1.6); |
| 887 | } |
| 888 | |
| 889 | void tst_QRandomGenerator::stdUniformRealDistribution() |
| 890 | { |
| 891 | QFETCH(uint, control); |
| 892 | QFETCH(double, min); |
| 893 | QFETCH(double, sup); |
| 894 | RandomGenerator rng(control & (SkipHWRNG|SkipSystemRNG|UseSystemRNG)); |
| 895 | |
| 896 | { |
| 897 | QRandomGenerator rd; |
| 898 | { |
| 899 | std::uniform_real_distribution<double> dist(min, sup); |
| 900 | double value = dist(rd); |
| 901 | QVERIFY(value >= dist.min()); |
| 902 | if (min != sup) |
| 903 | QVERIFY(value < dist.max()); |
| 904 | } |
| 905 | } |
| 906 | |
| 907 | { |
| 908 | QRandomGenerator64 rd; |
| 909 | { |
| 910 | std::uniform_real_distribution<double> dist(min, sup); |
| 911 | double value = dist(rd); |
| 912 | QVERIFY(value >= dist.min()); |
| 913 | if (min != sup) |
| 914 | QVERIFY(value < dist.max()); |
| 915 | } |
| 916 | } |
| 917 | } |
| 918 | |
| 919 | template <typename Generator> void stdRandomDistributions_template() |
| 920 | { |
| 921 | Generator rd; |
| 922 | |
| 923 | std::bernoulli_distribution()(rd); |
| 924 | |
| 925 | std::binomial_distribution<quint32>()(rd); |
| 926 | std::binomial_distribution<quint64>()(rd); |
| 927 | |
| 928 | std::negative_binomial_distribution<quint32>()(rd); |
| 929 | std::negative_binomial_distribution<quint64>()(rd); |
| 930 | |
| 931 | std::poisson_distribution<int>()(rd); |
| 932 | std::poisson_distribution<qint64>()(rd); |
| 933 | |
| 934 | std::normal_distribution<qreal>()(rd); |
| 935 | |
| 936 | { |
| 937 | std::discrete_distribution<int> discrete{0, 1, 1, 10000, 2}; |
| 938 | QVERIFY(discrete(rd) != 0); |
| 939 | QVERIFY_3TIMES(discrete(rd) == 3); |
| 940 | } |
| 941 | } |
| 942 | |
| 943 | void tst_QRandomGenerator::stdRandomDistributions() |
| 944 | { |
| 945 | // just a compile check for some of the distributions, besides |
| 946 | // std::uniform_int_distribution and std::uniform_real_distribution (tested |
| 947 | // above) |
| 948 | |
| 949 | stdRandomDistributions_template<QRandomGenerator>(); |
| 950 | stdRandomDistributions_template<QRandomGenerator64>(); |
| 951 | } |
| 952 | |
| 953 | QTEST_APPLESS_MAIN(tst_QRandomGenerator) |
| 954 | |
| 955 | #include "tst_qrandomgenerator.moc" |
| 956 | |