int128_unittest.cc 15 KB

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  1. // Protocol Buffers - Google's data interchange format
  2. // Copyright 2008 Google Inc. All rights reserved.
  3. // https://developers.google.com/protocol-buffers/
  4. //
  5. // Redistribution and use in source and binary forms, with or without
  6. // modification, are permitted provided that the following conditions are
  7. // met:
  8. //
  9. // * Redistributions of source code must retain the above copyright
  10. // notice, this list of conditions and the following disclaimer.
  11. // * Redistributions in binary form must reproduce the above
  12. // copyright notice, this list of conditions and the following disclaimer
  13. // in the documentation and/or other materials provided with the
  14. // distribution.
  15. // * Neither the name of Google Inc. nor the names of its
  16. // contributors may be used to endorse or promote products derived from
  17. // this software without specific prior written permission.
  18. //
  19. // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
  20. // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
  21. // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
  22. // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
  23. // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
  24. // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
  25. // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
  26. // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
  27. // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
  28. // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
  29. // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
  30. #include <google/protobuf/stubs/int128.h>
  31. #include <algorithm>
  32. #include <sstream>
  33. #include <utility>
  34. #include <google/protobuf/testing/googletest.h>
  35. #include <gtest/gtest.h>
  36. namespace google {
  37. namespace protobuf {
  38. TEST(Int128, AllTests) {
  39. uint128 zero(0);
  40. uint128 one(1);
  41. uint128 one_2arg(0, 1);
  42. uint128 two(0, 2);
  43. uint128 three(0, 3);
  44. uint128 big(2000, 2);
  45. uint128 big_minus_one(2000, 1);
  46. uint128 bigger(2001, 1);
  47. uint128 biggest(kuint128max);
  48. uint128 high_low(1, 0);
  49. uint128 low_high(0, kuint64max);
  50. EXPECT_LT(one, two);
  51. EXPECT_GT(two, one);
  52. EXPECT_LT(one, big);
  53. EXPECT_LT(one, big);
  54. EXPECT_EQ(one, one_2arg);
  55. EXPECT_NE(one, two);
  56. EXPECT_GT(big, one);
  57. EXPECT_GE(big, two);
  58. EXPECT_GE(big, big_minus_one);
  59. EXPECT_GT(big, big_minus_one);
  60. EXPECT_LT(big_minus_one, big);
  61. EXPECT_LE(big_minus_one, big);
  62. EXPECT_NE(big_minus_one, big);
  63. EXPECT_LT(big, biggest);
  64. EXPECT_LE(big, biggest);
  65. EXPECT_GT(biggest, big);
  66. EXPECT_GE(biggest, big);
  67. EXPECT_EQ(big, ~~big);
  68. EXPECT_EQ(one, one | one);
  69. EXPECT_EQ(big, big | big);
  70. EXPECT_EQ(one, one | zero);
  71. EXPECT_EQ(one, one & one);
  72. EXPECT_EQ(big, big & big);
  73. EXPECT_EQ(zero, one & zero);
  74. EXPECT_EQ(zero, big & ~big);
  75. EXPECT_EQ(zero, one ^ one);
  76. EXPECT_EQ(zero, big ^ big);
  77. EXPECT_EQ(one, one ^ zero);
  78. // Shift operators.
  79. EXPECT_EQ(big, big << 0);
  80. EXPECT_EQ(big, big >> 0);
  81. EXPECT_GT(big << 1, big);
  82. EXPECT_LT(big >> 1, big);
  83. EXPECT_EQ(big, (big << 10) >> 10);
  84. EXPECT_EQ(big, (big >> 1) << 1);
  85. EXPECT_EQ(one, (one << 80) >> 80);
  86. EXPECT_EQ(zero, (one >> 80) << 80);
  87. EXPECT_EQ(zero, big >> 128);
  88. EXPECT_EQ(zero, big << 128);
  89. // Shift assignments.
  90. uint128 big_copy = big;
  91. EXPECT_EQ(big << 0, big_copy <<= 0);
  92. big_copy = big;
  93. EXPECT_EQ(big >> 0, big_copy >>= 0);
  94. big_copy = big;
  95. EXPECT_EQ(big << 1, big_copy <<= 1);
  96. big_copy = big;
  97. EXPECT_EQ(big >> 1, big_copy >>= 1);
  98. big_copy = big;
  99. EXPECT_EQ(big << 10, big_copy <<= 10);
  100. big_copy = big;
  101. EXPECT_EQ(big >> 10, big_copy >>= 10);
  102. big_copy = big;
  103. EXPECT_EQ(big << 64, big_copy <<= 64);
  104. big_copy = big;
  105. EXPECT_EQ(big >> 64, big_copy >>= 64);
  106. big_copy = big;
  107. EXPECT_EQ(big << 73, big_copy <<= 73);
  108. big_copy = big;
  109. EXPECT_EQ(big >> 73, big_copy >>= 73);
  110. big_copy = big;
  111. EXPECT_EQ(big << 128, big_copy <<= 128);
  112. big_copy = big;
  113. EXPECT_EQ(big >> 128, big_copy >>= 128);
  114. EXPECT_EQ(Uint128High64(biggest), kuint64max);
  115. EXPECT_EQ(Uint128Low64(biggest), kuint64max);
  116. EXPECT_EQ(zero + one, one);
  117. EXPECT_EQ(one + one, two);
  118. EXPECT_EQ(big_minus_one + one, big);
  119. EXPECT_EQ(one - one, zero);
  120. EXPECT_EQ(one - zero, one);
  121. EXPECT_EQ(zero - one, biggest);
  122. EXPECT_EQ(big - big, zero);
  123. EXPECT_EQ(big - one, big_minus_one);
  124. EXPECT_EQ(big + kuint64max, bigger);
  125. EXPECT_EQ(biggest + 1, zero);
  126. EXPECT_EQ(zero - 1, biggest);
  127. EXPECT_EQ(high_low - one, low_high);
  128. EXPECT_EQ(low_high + one, high_low);
  129. EXPECT_EQ(Uint128High64((uint128(1) << 64) - 1), 0);
  130. EXPECT_EQ(Uint128Low64((uint128(1) << 64) - 1), kuint64max);
  131. EXPECT_TRUE(!!one);
  132. EXPECT_TRUE(!!high_low);
  133. EXPECT_FALSE(!!zero);
  134. EXPECT_FALSE(!one);
  135. EXPECT_FALSE(!high_low);
  136. EXPECT_TRUE(!zero);
  137. EXPECT_TRUE(zero == 0);
  138. EXPECT_FALSE(zero != 0);
  139. EXPECT_FALSE(one == 0);
  140. EXPECT_TRUE(one != 0);
  141. uint128 test = zero;
  142. EXPECT_EQ(++test, one);
  143. EXPECT_EQ(test, one);
  144. EXPECT_EQ(test++, one);
  145. EXPECT_EQ(test, two);
  146. EXPECT_EQ(test -= 2, zero);
  147. EXPECT_EQ(test, zero);
  148. EXPECT_EQ(test += 2, two);
  149. EXPECT_EQ(test, two);
  150. EXPECT_EQ(--test, one);
  151. EXPECT_EQ(test, one);
  152. EXPECT_EQ(test--, one);
  153. EXPECT_EQ(test, zero);
  154. EXPECT_EQ(test |= three, three);
  155. EXPECT_EQ(test &= one, one);
  156. EXPECT_EQ(test ^= three, two);
  157. EXPECT_EQ(test >>= 1, one);
  158. EXPECT_EQ(test <<= 1, two);
  159. EXPECT_EQ(big, -(-big));
  160. EXPECT_EQ(two, -((-one) - 1));
  161. EXPECT_EQ(kuint128max, -one);
  162. EXPECT_EQ(zero, -zero);
  163. GOOGLE_LOG(INFO) << one;
  164. GOOGLE_LOG(INFO) << big_minus_one;
  165. }
  166. TEST(Int128, PodTests) {
  167. uint128_pod pod = { 12345, 67890 };
  168. uint128 from_pod(pod);
  169. EXPECT_EQ(12345, Uint128High64(from_pod));
  170. EXPECT_EQ(67890, Uint128Low64(from_pod));
  171. uint128 zero(0);
  172. uint128_pod zero_pod = {0, 0};
  173. uint128 one(1);
  174. uint128_pod one_pod = {0, 1};
  175. uint128 two(2);
  176. uint128_pod two_pod = {0, 2};
  177. uint128 three(3);
  178. uint128_pod three_pod = {0, 3};
  179. uint128 big(1, 0);
  180. uint128_pod big_pod = {1, 0};
  181. EXPECT_EQ(zero, zero_pod);
  182. EXPECT_EQ(zero_pod, zero);
  183. EXPECT_EQ(zero_pod, zero_pod);
  184. EXPECT_EQ(one, one_pod);
  185. EXPECT_EQ(one_pod, one);
  186. EXPECT_EQ(one_pod, one_pod);
  187. EXPECT_EQ(two, two_pod);
  188. EXPECT_EQ(two_pod, two);
  189. EXPECT_EQ(two_pod, two_pod);
  190. EXPECT_NE(one, two_pod);
  191. EXPECT_NE(one_pod, two);
  192. EXPECT_NE(one_pod, two_pod);
  193. EXPECT_LT(one, two_pod);
  194. EXPECT_LT(one_pod, two);
  195. EXPECT_LT(one_pod, two_pod);
  196. EXPECT_LE(one, one_pod);
  197. EXPECT_LE(one_pod, one);
  198. EXPECT_LE(one_pod, one_pod);
  199. EXPECT_LE(one, two_pod);
  200. EXPECT_LE(one_pod, two);
  201. EXPECT_LE(one_pod, two_pod);
  202. EXPECT_GT(two, one_pod);
  203. EXPECT_GT(two_pod, one);
  204. EXPECT_GT(two_pod, one_pod);
  205. EXPECT_GE(two, two_pod);
  206. EXPECT_GE(two_pod, two);
  207. EXPECT_GE(two_pod, two_pod);
  208. EXPECT_GE(two, one_pod);
  209. EXPECT_GE(two_pod, one);
  210. EXPECT_GE(two_pod, one_pod);
  211. EXPECT_EQ(three, one | two_pod);
  212. EXPECT_EQ(three, one_pod | two);
  213. EXPECT_EQ(three, one_pod | two_pod);
  214. EXPECT_EQ(one, three & one_pod);
  215. EXPECT_EQ(one, three_pod & one);
  216. EXPECT_EQ(one, three_pod & one_pod);
  217. EXPECT_EQ(two, three ^ one_pod);
  218. EXPECT_EQ(two, three_pod ^ one);
  219. EXPECT_EQ(two, three_pod ^ one_pod);
  220. EXPECT_EQ(two, three & (~one));
  221. EXPECT_EQ(three, ~~three);
  222. EXPECT_EQ(two, two_pod << 0);
  223. EXPECT_EQ(two, one_pod << 1);
  224. EXPECT_EQ(big, one_pod << 64);
  225. EXPECT_EQ(zero, one_pod << 128);
  226. EXPECT_EQ(two, two_pod >> 0);
  227. EXPECT_EQ(one, two_pod >> 1);
  228. EXPECT_EQ(one, big_pod >> 64);
  229. EXPECT_EQ(one, zero + one_pod);
  230. EXPECT_EQ(one, zero_pod + one);
  231. EXPECT_EQ(one, zero_pod + one_pod);
  232. EXPECT_EQ(one, two - one_pod);
  233. EXPECT_EQ(one, two_pod - one);
  234. EXPECT_EQ(one, two_pod - one_pod);
  235. }
  236. TEST(Int128, OperatorAssignReturnRef) {
  237. uint128 v(1);
  238. (v += 4) -= 3;
  239. EXPECT_EQ(2, v);
  240. }
  241. TEST(Int128, Multiply) {
  242. uint128 a, b, c;
  243. // Zero test.
  244. a = 0;
  245. b = 0;
  246. c = a * b;
  247. EXPECT_EQ(0, c);
  248. // Max carries.
  249. a = uint128(0) - 1;
  250. b = uint128(0) - 1;
  251. c = a * b;
  252. EXPECT_EQ(1, c);
  253. // Self-operation with max carries.
  254. c = uint128(0) - 1;
  255. c *= c;
  256. EXPECT_EQ(1, c);
  257. // 1-bit x 1-bit.
  258. for (int i = 0; i < 64; ++i) {
  259. for (int j = 0; j < 64; ++j) {
  260. a = uint128(1) << i;
  261. b = uint128(1) << j;
  262. c = a * b;
  263. EXPECT_EQ(uint128(1) << (i+j), c);
  264. }
  265. }
  266. // Verified with dc.
  267. a = uint128(GOOGLE_ULONGLONG(0xffffeeeeddddcccc),
  268. GOOGLE_ULONGLONG(0xbbbbaaaa99998888));
  269. b = uint128(GOOGLE_ULONGLONG(0x7777666655554444),
  270. GOOGLE_ULONGLONG(0x3333222211110000));
  271. c = a * b;
  272. EXPECT_EQ(uint128(GOOGLE_ULONGLONG(0x530EDA741C71D4C3),
  273. GOOGLE_ULONGLONG(0xBF25975319080000)), c);
  274. EXPECT_EQ(0, c - b * a);
  275. EXPECT_EQ(a*a - b*b, (a+b) * (a-b));
  276. // Verified with dc.
  277. a = uint128(GOOGLE_ULONGLONG(0x0123456789abcdef),
  278. GOOGLE_ULONGLONG(0xfedcba9876543210));
  279. b = uint128(GOOGLE_ULONGLONG(0x02468ace13579bdf),
  280. GOOGLE_ULONGLONG(0xfdb97531eca86420));
  281. c = a * b;
  282. EXPECT_EQ(uint128(GOOGLE_ULONGLONG(0x97a87f4f261ba3f2),
  283. GOOGLE_ULONGLONG(0x342d0bbf48948200)), c);
  284. EXPECT_EQ(0, c - b * a);
  285. EXPECT_EQ(a*a - b*b, (a+b) * (a-b));
  286. }
  287. TEST(Int128, AliasTests) {
  288. uint128 x1(1, 2);
  289. uint128 x2(2, 4);
  290. x1 += x1;
  291. EXPECT_EQ(x2, x1);
  292. uint128 x3(1, static_cast<uint64>(1) << 63);
  293. uint128 x4(3, 0);
  294. x3 += x3;
  295. EXPECT_EQ(x4, x3);
  296. }
  297. #ifdef PROTOBUF_HAS_DEATH_TEST
  298. TEST(Int128, DivideByZeroCheckFails) {
  299. uint128 a = 0;
  300. uint128 b = 0;
  301. EXPECT_DEATH(a / b, "Division or mod by zero:");
  302. a = 123;
  303. EXPECT_DEATH(a / b, "Division or mod by zero:");
  304. }
  305. TEST(Int128, ModByZeroCheckFails) {
  306. uint128 a = 0;
  307. uint128 b = 0;
  308. EXPECT_DEATH(a % b, "Division or mod by zero:");
  309. a = 123;
  310. EXPECT_DEATH(a % b, "Division or mod by zero:");
  311. }
  312. #endif // PROTOBUF_HAS_DEATH_TEST
  313. TEST(Int128, DivideAndMod) {
  314. // a := q * b + r
  315. uint128 a, b, q, r;
  316. // Zero test.
  317. a = 0;
  318. b = 123;
  319. q = a / b;
  320. r = a % b;
  321. EXPECT_EQ(0, q);
  322. EXPECT_EQ(0, r);
  323. a = uint128(GOOGLE_ULONGLONG(0x530eda741c71d4c3),
  324. GOOGLE_ULONGLONG(0xbf25975319080000));
  325. q = uint128(GOOGLE_ULONGLONG(0x4de2cab081),
  326. GOOGLE_ULONGLONG(0x14c34ab4676e4bab));
  327. b = uint128(0x1110001);
  328. r = uint128(0x3eb455);
  329. ASSERT_EQ(a, q * b + r); // Sanity-check.
  330. uint128 result_q, result_r;
  331. result_q = a / b;
  332. result_r = a % b;
  333. EXPECT_EQ(q, result_q);
  334. EXPECT_EQ(r, result_r);
  335. // Try the other way around.
  336. std::swap(q, b);
  337. result_q = a / b;
  338. result_r = a % b;
  339. EXPECT_EQ(q, result_q);
  340. EXPECT_EQ(r, result_r);
  341. // Restore.
  342. std::swap(b, q);
  343. // Dividend < divisor; result should be q:0 r:<dividend>.
  344. std::swap(a, b);
  345. result_q = a / b;
  346. result_r = a % b;
  347. EXPECT_EQ(0, result_q);
  348. EXPECT_EQ(a, result_r);
  349. // Try the other way around.
  350. std::swap(a, q);
  351. result_q = a / b;
  352. result_r = a % b;
  353. EXPECT_EQ(0, result_q);
  354. EXPECT_EQ(a, result_r);
  355. // Restore.
  356. std::swap(q, a);
  357. std::swap(b, a);
  358. // Try a large remainder.
  359. b = a / 2 + 1;
  360. uint128 expected_r(GOOGLE_ULONGLONG(0x29876d3a0e38ea61),
  361. GOOGLE_ULONGLONG(0xdf92cba98c83ffff));
  362. // Sanity checks.
  363. ASSERT_EQ(a / 2 - 1, expected_r);
  364. ASSERT_EQ(a, b + expected_r);
  365. result_q = a / b;
  366. result_r = a % b;
  367. EXPECT_EQ(1, result_q);
  368. EXPECT_EQ(expected_r, result_r);
  369. }
  370. static uint64 RandomUint64() {
  371. uint64 v1 = rand();
  372. uint64 v2 = rand();
  373. uint64 v3 = rand();
  374. return v1 * v2 + v3;
  375. }
  376. TEST(Int128, DivideAndModRandomInputs) {
  377. const int kNumIters = 1 << 18;
  378. for (int i = 0; i < kNumIters; ++i) {
  379. const uint128 a(RandomUint64(), RandomUint64());
  380. const uint128 b(RandomUint64(), RandomUint64());
  381. if (b == 0) {
  382. continue; // Avoid a div-by-zero.
  383. }
  384. const uint128 q = a / b;
  385. const uint128 r = a % b;
  386. ASSERT_EQ(a, b * q + r);
  387. }
  388. }
  389. #ifdef GOOGLE_PROTOBUF_HAS_CONSTEXPR
  390. TEST(Int128, ConstexprTest) {
  391. constexpr uint128 zero;
  392. constexpr uint128 one = 1;
  393. constexpr uint128_pod pod = {2, 3};
  394. constexpr uint128 from_pod = pod;
  395. constexpr uint128 minus_two = -2;
  396. EXPECT_EQ(one, uint128(1));
  397. EXPECT_EQ(from_pod, uint128(2, 3));
  398. EXPECT_EQ(minus_two, uint128(-1ULL, -2ULL));
  399. }
  400. TEST(Int128, Traits) {
  401. EXPECT_TRUE(std::is_trivially_copy_constructible<uint128>::value);
  402. EXPECT_TRUE(std::is_trivially_copy_assignable<uint128>::value);
  403. EXPECT_TRUE(std::is_trivially_destructible<uint128>::value);
  404. }
  405. #endif // GOOGLE_PROTOBUF_HAS_CONSTEXPR
  406. TEST(Int128, OStream) {
  407. struct {
  408. uint128 val;
  409. std::ios_base::fmtflags flags;
  410. std::streamsize width;
  411. char fill;
  412. const char* rep;
  413. } cases[] = {
  414. // zero with different bases
  415. {uint128(0), std::ios::dec, 0, '_', "0"},
  416. {uint128(0), std::ios::oct, 0, '_', "0"},
  417. {uint128(0), std::ios::hex, 0, '_', "0"},
  418. // crossover between lo_ and hi_
  419. {uint128(0, -1), std::ios::dec, 0, '_', "18446744073709551615"},
  420. {uint128(0, -1), std::ios::oct, 0, '_', "1777777777777777777777"},
  421. {uint128(0, -1), std::ios::hex, 0, '_', "ffffffffffffffff"},
  422. {uint128(1, 0), std::ios::dec, 0, '_', "18446744073709551616"},
  423. {uint128(1, 0), std::ios::oct, 0, '_', "2000000000000000000000"},
  424. {uint128(1, 0), std::ios::hex, 0, '_', "10000000000000000"},
  425. // just the top bit
  426. {uint128(GOOGLE_ULONGLONG(0x8000000000000000), 0), std::ios::dec, 0, '_',
  427. "170141183460469231731687303715884105728"},
  428. {uint128(GOOGLE_ULONGLONG(0x8000000000000000), 0), std::ios::oct, 0, '_',
  429. "2000000000000000000000000000000000000000000"},
  430. {uint128(GOOGLE_ULONGLONG(0x8000000000000000), 0), std::ios::hex, 0, '_',
  431. "80000000000000000000000000000000"},
  432. // maximum uint128 value
  433. {uint128(-1, -1), std::ios::dec, 0, '_',
  434. "340282366920938463463374607431768211455"},
  435. {uint128(-1, -1), std::ios::oct, 0, '_',
  436. "3777777777777777777777777777777777777777777"},
  437. {uint128(-1, -1), std::ios::hex, 0, '_',
  438. "ffffffffffffffffffffffffffffffff"},
  439. // uppercase
  440. {uint128(-1, -1), std::ios::hex | std::ios::uppercase, 0, '_',
  441. "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"},
  442. // showbase
  443. {uint128(1), std::ios::dec | std::ios::showbase, 0, '_', "1"},
  444. {uint128(1), std::ios::oct | std::ios::showbase, 0, '_', "01"},
  445. {uint128(1), std::ios::hex | std::ios::showbase, 0, '_', "0x1"},
  446. // showbase does nothing on zero
  447. {uint128(0), std::ios::dec | std::ios::showbase, 0, '_', "0"},
  448. {uint128(0), std::ios::oct | std::ios::showbase, 0, '_', "0"},
  449. {uint128(0), std::ios::hex | std::ios::showbase, 0, '_', "0"},
  450. // showpos does nothing on unsigned types
  451. {uint128(1), std::ios::dec | std::ios::showpos, 0, '_', "1"},
  452. // padding
  453. {uint128(9), std::ios::dec, 6, '_', "_____9"},
  454. {uint128(12345), std::ios::dec, 6, '_', "_12345"},
  455. // left adjustment
  456. {uint128(9), std::ios::dec | std::ios::left, 6, '_', "9_____"},
  457. {uint128(12345), std::ios::dec | std::ios::left, 6, '_', "12345_"},
  458. };
  459. for (size_t i = 0; i < GOOGLE_ARRAYSIZE(cases); ++i) {
  460. std::ostringstream os;
  461. os.flags(cases[i].flags);
  462. os.width(cases[i].width);
  463. os.fill(cases[i].fill);
  464. os << cases[i].val;
  465. EXPECT_EQ(cases[i].rep, os.str());
  466. }
  467. }
  468. } // namespace protobuf
  469. } // namespace google