1 //===- unittests/Support/MathExtrasTest.cpp - math utils tests ------------===// 2 // 3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. 4 // See https://llvm.org/LICENSE.txt for license information. 5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception 6 // 7 //===----------------------------------------------------------------------===// 8 9 #include "llvm/Support/MathExtras.h" 10 #include "gtest/gtest.h" 11 12 using namespace llvm; 13 14 namespace { 15 16 TEST(MathExtras, countTrailingZeros) { 17 uint8_t Z8 = 0; 18 uint16_t Z16 = 0; 19 uint32_t Z32 = 0; 20 uint64_t Z64 = 0; 21 EXPECT_EQ(8u, countTrailingZeros(Z8)); 22 EXPECT_EQ(16u, countTrailingZeros(Z16)); 23 EXPECT_EQ(32u, countTrailingZeros(Z32)); 24 EXPECT_EQ(64u, countTrailingZeros(Z64)); 25 26 uint8_t NZ8 = 42; 27 uint16_t NZ16 = 42; 28 uint32_t NZ32 = 42; 29 uint64_t NZ64 = 42; 30 EXPECT_EQ(1u, countTrailingZeros(NZ8)); 31 EXPECT_EQ(1u, countTrailingZeros(NZ16)); 32 EXPECT_EQ(1u, countTrailingZeros(NZ32)); 33 EXPECT_EQ(1u, countTrailingZeros(NZ64)); 34 } 35 36 TEST(MathExtras, countLeadingZeros) { 37 uint8_t Z8 = 0; 38 uint16_t Z16 = 0; 39 uint32_t Z32 = 0; 40 uint64_t Z64 = 0; 41 EXPECT_EQ(8u, countLeadingZeros(Z8)); 42 EXPECT_EQ(16u, countLeadingZeros(Z16)); 43 EXPECT_EQ(32u, countLeadingZeros(Z32)); 44 EXPECT_EQ(64u, countLeadingZeros(Z64)); 45 46 uint8_t NZ8 = 42; 47 uint16_t NZ16 = 42; 48 uint32_t NZ32 = 42; 49 uint64_t NZ64 = 42; 50 EXPECT_EQ(2u, countLeadingZeros(NZ8)); 51 EXPECT_EQ(10u, countLeadingZeros(NZ16)); 52 EXPECT_EQ(26u, countLeadingZeros(NZ32)); 53 EXPECT_EQ(58u, countLeadingZeros(NZ64)); 54 55 EXPECT_EQ(8u, countLeadingZeros(0x00F000FFu)); 56 EXPECT_EQ(8u, countLeadingZeros(0x00F12345u)); 57 for (unsigned i = 0; i <= 30; ++i) { 58 EXPECT_EQ(31 - i, countLeadingZeros(1u << i)); 59 } 60 61 EXPECT_EQ(8u, countLeadingZeros(0x00F1234500F12345ULL)); 62 EXPECT_EQ(1u, countLeadingZeros(1ULL << 62)); 63 for (unsigned i = 0; i <= 62; ++i) { 64 EXPECT_EQ(63 - i, countLeadingZeros(1ULL << i)); 65 } 66 } 67 68 TEST(MathExtras, onesMask) { 69 EXPECT_EQ(0U, maskLeadingOnes<uint8_t>(0)); 70 EXPECT_EQ(0U, maskTrailingOnes<uint8_t>(0)); 71 EXPECT_EQ(0U, maskLeadingOnes<uint16_t>(0)); 72 EXPECT_EQ(0U, maskTrailingOnes<uint16_t>(0)); 73 EXPECT_EQ(0U, maskLeadingOnes<uint32_t>(0)); 74 EXPECT_EQ(0U, maskTrailingOnes<uint32_t>(0)); 75 EXPECT_EQ(0U, maskLeadingOnes<uint64_t>(0)); 76 EXPECT_EQ(0U, maskTrailingOnes<uint64_t>(0)); 77 78 EXPECT_EQ(0x00000003U, maskTrailingOnes<uint32_t>(2U)); 79 EXPECT_EQ(0xC0000000U, maskLeadingOnes<uint32_t>(2U)); 80 81 EXPECT_EQ(0x000007FFU, maskTrailingOnes<uint32_t>(11U)); 82 EXPECT_EQ(0xFFE00000U, maskLeadingOnes<uint32_t>(11U)); 83 84 EXPECT_EQ(0xFFFFFFFFU, maskTrailingOnes<uint32_t>(32U)); 85 EXPECT_EQ(0xFFFFFFFFU, maskLeadingOnes<uint32_t>(32U)); 86 EXPECT_EQ(0xFFFFFFFFFFFFFFFFULL, maskTrailingOnes<uint64_t>(64U)); 87 EXPECT_EQ(0xFFFFFFFFFFFFFFFFULL, maskLeadingOnes<uint64_t>(64U)); 88 89 EXPECT_EQ(0x0000FFFFFFFFFFFFULL, maskTrailingOnes<uint64_t>(48U)); 90 EXPECT_EQ(0xFFFFFFFFFFFF0000ULL, maskLeadingOnes<uint64_t>(48U)); 91 } 92 93 TEST(MathExtras, findFirstSet) { 94 uint8_t Z8 = 0; 95 uint16_t Z16 = 0; 96 uint32_t Z32 = 0; 97 uint64_t Z64 = 0; 98 EXPECT_EQ(0xFFULL, findFirstSet(Z8)); 99 EXPECT_EQ(0xFFFFULL, findFirstSet(Z16)); 100 EXPECT_EQ(0xFFFFFFFFULL, findFirstSet(Z32)); 101 EXPECT_EQ(0xFFFFFFFFFFFFFFFFULL, findFirstSet(Z64)); 102 103 uint8_t NZ8 = 42; 104 uint16_t NZ16 = 42; 105 uint32_t NZ32 = 42; 106 uint64_t NZ64 = 42; 107 EXPECT_EQ(1u, findFirstSet(NZ8)); 108 EXPECT_EQ(1u, findFirstSet(NZ16)); 109 EXPECT_EQ(1u, findFirstSet(NZ32)); 110 EXPECT_EQ(1u, findFirstSet(NZ64)); 111 } 112 113 TEST(MathExtras, findLastSet) { 114 uint8_t Z8 = 0; 115 uint16_t Z16 = 0; 116 uint32_t Z32 = 0; 117 uint64_t Z64 = 0; 118 EXPECT_EQ(0xFFULL, findLastSet(Z8)); 119 EXPECT_EQ(0xFFFFULL, findLastSet(Z16)); 120 EXPECT_EQ(0xFFFFFFFFULL, findLastSet(Z32)); 121 EXPECT_EQ(0xFFFFFFFFFFFFFFFFULL, findLastSet(Z64)); 122 123 uint8_t NZ8 = 42; 124 uint16_t NZ16 = 42; 125 uint32_t NZ32 = 42; 126 uint64_t NZ64 = 42; 127 EXPECT_EQ(5u, findLastSet(NZ8)); 128 EXPECT_EQ(5u, findLastSet(NZ16)); 129 EXPECT_EQ(5u, findLastSet(NZ32)); 130 EXPECT_EQ(5u, findLastSet(NZ64)); 131 } 132 133 TEST(MathExtras, isIntN) { 134 EXPECT_TRUE(isIntN(16, 32767)); 135 EXPECT_FALSE(isIntN(16, 32768)); 136 } 137 138 TEST(MathExtras, isUIntN) { 139 EXPECT_TRUE(isUIntN(16, 65535)); 140 EXPECT_FALSE(isUIntN(16, 65536)); 141 EXPECT_TRUE(isUIntN(1, 0)); 142 EXPECT_TRUE(isUIntN(6, 63)); 143 } 144 145 TEST(MathExtras, maxIntN) { 146 EXPECT_EQ(32767, maxIntN(16)); 147 EXPECT_EQ(2147483647, maxIntN(32)); 148 EXPECT_EQ(std::numeric_limits<int32_t>::max(), maxIntN(32)); 149 EXPECT_EQ(std::numeric_limits<int64_t>::max(), maxIntN(64)); 150 } 151 152 TEST(MathExtras, minIntN) { 153 EXPECT_EQ(-32768LL, minIntN(16)); 154 EXPECT_EQ(-64LL, minIntN(7)); 155 EXPECT_EQ(std::numeric_limits<int32_t>::min(), minIntN(32)); 156 EXPECT_EQ(std::numeric_limits<int64_t>::min(), minIntN(64)); 157 } 158 159 TEST(MathExtras, maxUIntN) { 160 EXPECT_EQ(0xffffULL, maxUIntN(16)); 161 EXPECT_EQ(0xffffffffULL, maxUIntN(32)); 162 EXPECT_EQ(0xffffffffffffffffULL, maxUIntN(64)); 163 EXPECT_EQ(1ULL, maxUIntN(1)); 164 EXPECT_EQ(0x0fULL, maxUIntN(4)); 165 } 166 167 TEST(MathExtras, reverseBits) { 168 uint8_t NZ8 = 42; 169 uint16_t NZ16 = 42; 170 uint32_t NZ32 = 42; 171 uint64_t NZ64 = 42; 172 EXPECT_EQ(0x54ULL, reverseBits(NZ8)); 173 EXPECT_EQ(0x5400ULL, reverseBits(NZ16)); 174 EXPECT_EQ(0x54000000ULL, reverseBits(NZ32)); 175 EXPECT_EQ(0x5400000000000000ULL, reverseBits(NZ64)); 176 } 177 178 TEST(MathExtras, isPowerOf2_32) { 179 EXPECT_FALSE(isPowerOf2_32(0)); 180 EXPECT_TRUE(isPowerOf2_32(1 << 6)); 181 EXPECT_TRUE(isPowerOf2_32(1 << 12)); 182 EXPECT_FALSE(isPowerOf2_32((1 << 19) + 3)); 183 EXPECT_FALSE(isPowerOf2_32(0xABCDEF0)); 184 } 185 186 TEST(MathExtras, isPowerOf2_64) { 187 EXPECT_FALSE(isPowerOf2_64(0)); 188 EXPECT_TRUE(isPowerOf2_64(1LL << 46)); 189 EXPECT_TRUE(isPowerOf2_64(1LL << 12)); 190 EXPECT_FALSE(isPowerOf2_64((1LL << 53) + 3)); 191 EXPECT_FALSE(isPowerOf2_64(0xABCDEF0ABCDEF0LL)); 192 } 193 194 TEST(MathExtras, PowerOf2Ceil) { 195 EXPECT_EQ(0U, PowerOf2Ceil(0U)); 196 EXPECT_EQ(8U, PowerOf2Ceil(8U)); 197 EXPECT_EQ(8U, PowerOf2Ceil(7U)); 198 } 199 200 TEST(MathExtras, PowerOf2Floor) { 201 EXPECT_EQ(0U, PowerOf2Floor(0U)); 202 EXPECT_EQ(8U, PowerOf2Floor(8U)); 203 EXPECT_EQ(4U, PowerOf2Floor(7U)); 204 } 205 206 TEST(MathExtras, ByteSwap_32) { 207 EXPECT_EQ(0x44332211u, ByteSwap_32(0x11223344)); 208 EXPECT_EQ(0xDDCCBBAAu, ByteSwap_32(0xAABBCCDD)); 209 } 210 211 TEST(MathExtras, ByteSwap_64) { 212 EXPECT_EQ(0x8877665544332211ULL, ByteSwap_64(0x1122334455667788LL)); 213 EXPECT_EQ(0x1100FFEEDDCCBBAAULL, ByteSwap_64(0xAABBCCDDEEFF0011LL)); 214 } 215 216 TEST(MathExtras, countLeadingOnes) { 217 for (int i = 30; i >= 0; --i) { 218 // Start with all ones and unset some bit. 219 EXPECT_EQ(31u - i, countLeadingOnes(0xFFFFFFFF ^ (1 << i))); 220 } 221 for (int i = 62; i >= 0; --i) { 222 // Start with all ones and unset some bit. 223 EXPECT_EQ(63u - i, countLeadingOnes(0xFFFFFFFFFFFFFFFFULL ^ (1LL << i))); 224 } 225 for (int i = 30; i >= 0; --i) { 226 // Start with all ones and unset some bit. 227 EXPECT_EQ(31u - i, countLeadingOnes(0xFFFFFFFF ^ (1 << i))); 228 } 229 } 230 231 TEST(MathExtras, FloatBits) { 232 static const float kValue = 5632.34f; 233 EXPECT_FLOAT_EQ(kValue, BitsToFloat(FloatToBits(kValue))); 234 } 235 236 TEST(MathExtras, DoubleBits) { 237 static const double kValue = 87987234.983498; 238 EXPECT_DOUBLE_EQ(kValue, BitsToDouble(DoubleToBits(kValue))); 239 } 240 241 TEST(MathExtras, MinAlign) { 242 EXPECT_EQ(1u, MinAlign(2, 3)); 243 EXPECT_EQ(2u, MinAlign(2, 4)); 244 EXPECT_EQ(1u, MinAlign(17, 64)); 245 EXPECT_EQ(256u, MinAlign(256, 512)); 246 } 247 248 TEST(MathExtras, NextPowerOf2) { 249 EXPECT_EQ(4u, NextPowerOf2(3)); 250 EXPECT_EQ(16u, NextPowerOf2(15)); 251 EXPECT_EQ(256u, NextPowerOf2(128)); 252 } 253 254 TEST(MathExtras, alignTo) { 255 EXPECT_EQ(8u, alignTo(5, 8)); 256 EXPECT_EQ(24u, alignTo(17, 8)); 257 EXPECT_EQ(0u, alignTo(~0LL, 8)); 258 259 EXPECT_EQ(7u, alignTo(5, 8, 7)); 260 EXPECT_EQ(17u, alignTo(17, 8, 1)); 261 EXPECT_EQ(3u, alignTo(~0LL, 8, 3)); 262 EXPECT_EQ(552u, alignTo(321, 255, 42)); 263 } 264 265 template<typename T> 266 void SaturatingAddTestHelper() 267 { 268 const T Max = std::numeric_limits<T>::max(); 269 bool ResultOverflowed; 270 271 EXPECT_EQ(T(3), SaturatingAdd(T(1), T(2))); 272 EXPECT_EQ(T(3), SaturatingAdd(T(1), T(2), &ResultOverflowed)); 273 EXPECT_FALSE(ResultOverflowed); 274 275 EXPECT_EQ(Max, SaturatingAdd(Max, T(1))); 276 EXPECT_EQ(Max, SaturatingAdd(Max, T(1), &ResultOverflowed)); 277 EXPECT_TRUE(ResultOverflowed); 278 279 EXPECT_EQ(Max, SaturatingAdd(T(1), T(Max - 1))); 280 EXPECT_EQ(Max, SaturatingAdd(T(1), T(Max - 1), &ResultOverflowed)); 281 EXPECT_FALSE(ResultOverflowed); 282 283 EXPECT_EQ(Max, SaturatingAdd(T(1), Max)); 284 EXPECT_EQ(Max, SaturatingAdd(T(1), Max, &ResultOverflowed)); 285 EXPECT_TRUE(ResultOverflowed); 286 287 EXPECT_EQ(Max, SaturatingAdd(Max, Max)); 288 EXPECT_EQ(Max, SaturatingAdd(Max, Max, &ResultOverflowed)); 289 EXPECT_TRUE(ResultOverflowed); 290 } 291 292 TEST(MathExtras, SaturatingAdd) { 293 SaturatingAddTestHelper<uint8_t>(); 294 SaturatingAddTestHelper<uint16_t>(); 295 SaturatingAddTestHelper<uint32_t>(); 296 SaturatingAddTestHelper<uint64_t>(); 297 } 298 299 template<typename T> 300 void SaturatingMultiplyTestHelper() 301 { 302 const T Max = std::numeric_limits<T>::max(); 303 bool ResultOverflowed; 304 305 // Test basic multiplication. 306 EXPECT_EQ(T(6), SaturatingMultiply(T(2), T(3))); 307 EXPECT_EQ(T(6), SaturatingMultiply(T(2), T(3), &ResultOverflowed)); 308 EXPECT_FALSE(ResultOverflowed); 309 310 EXPECT_EQ(T(6), SaturatingMultiply(T(3), T(2))); 311 EXPECT_EQ(T(6), SaturatingMultiply(T(3), T(2), &ResultOverflowed)); 312 EXPECT_FALSE(ResultOverflowed); 313 314 // Test multiplication by zero. 315 EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(0))); 316 EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(0), &ResultOverflowed)); 317 EXPECT_FALSE(ResultOverflowed); 318 319 EXPECT_EQ(T(0), SaturatingMultiply(T(1), T(0))); 320 EXPECT_EQ(T(0), SaturatingMultiply(T(1), T(0), &ResultOverflowed)); 321 EXPECT_FALSE(ResultOverflowed); 322 323 EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(1))); 324 EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(1), &ResultOverflowed)); 325 EXPECT_FALSE(ResultOverflowed); 326 327 EXPECT_EQ(T(0), SaturatingMultiply(Max, T(0))); 328 EXPECT_EQ(T(0), SaturatingMultiply(Max, T(0), &ResultOverflowed)); 329 EXPECT_FALSE(ResultOverflowed); 330 331 EXPECT_EQ(T(0), SaturatingMultiply(T(0), Max)); 332 EXPECT_EQ(T(0), SaturatingMultiply(T(0), Max, &ResultOverflowed)); 333 EXPECT_FALSE(ResultOverflowed); 334 335 // Test multiplication by maximum value. 336 EXPECT_EQ(Max, SaturatingMultiply(Max, T(2))); 337 EXPECT_EQ(Max, SaturatingMultiply(Max, T(2), &ResultOverflowed)); 338 EXPECT_TRUE(ResultOverflowed); 339 340 EXPECT_EQ(Max, SaturatingMultiply(T(2), Max)); 341 EXPECT_EQ(Max, SaturatingMultiply(T(2), Max, &ResultOverflowed)); 342 EXPECT_TRUE(ResultOverflowed); 343 344 EXPECT_EQ(Max, SaturatingMultiply(Max, Max)); 345 EXPECT_EQ(Max, SaturatingMultiply(Max, Max, &ResultOverflowed)); 346 EXPECT_TRUE(ResultOverflowed); 347 348 // Test interesting boundary conditions for algorithm - 349 // ((1 << A) - 1) * ((1 << B) + K) for K in [-1, 0, 1] 350 // and A + B == std::numeric_limits<T>::digits. 351 // We expect overflow iff A > B and K = 1. 352 const int Digits = std::numeric_limits<T>::digits; 353 for (int A = 1, B = Digits - 1; B >= 1; ++A, --B) { 354 for (int K = -1; K <= 1; ++K) { 355 T X = (T(1) << A) - T(1); 356 T Y = (T(1) << B) + K; 357 bool OverflowExpected = A > B && K == 1; 358 359 if(OverflowExpected) { 360 EXPECT_EQ(Max, SaturatingMultiply(X, Y)); 361 EXPECT_EQ(Max, SaturatingMultiply(X, Y, &ResultOverflowed)); 362 EXPECT_TRUE(ResultOverflowed); 363 } else { 364 EXPECT_EQ(X * Y, SaturatingMultiply(X, Y)); 365 EXPECT_EQ(X * Y, SaturatingMultiply(X, Y, &ResultOverflowed)); 366 EXPECT_FALSE(ResultOverflowed); 367 } 368 } 369 } 370 } 371 372 TEST(MathExtras, SaturatingMultiply) { 373 SaturatingMultiplyTestHelper<uint8_t>(); 374 SaturatingMultiplyTestHelper<uint16_t>(); 375 SaturatingMultiplyTestHelper<uint32_t>(); 376 SaturatingMultiplyTestHelper<uint64_t>(); 377 } 378 379 template<typename T> 380 void SaturatingMultiplyAddTestHelper() 381 { 382 const T Max = std::numeric_limits<T>::max(); 383 bool ResultOverflowed; 384 385 // Test basic multiply-add. 386 EXPECT_EQ(T(16), SaturatingMultiplyAdd(T(2), T(3), T(10))); 387 EXPECT_EQ(T(16), SaturatingMultiplyAdd(T(2), T(3), T(10), &ResultOverflowed)); 388 EXPECT_FALSE(ResultOverflowed); 389 390 // Test multiply overflows, add doesn't overflow 391 EXPECT_EQ(Max, SaturatingMultiplyAdd(Max, Max, T(0), &ResultOverflowed)); 392 EXPECT_TRUE(ResultOverflowed); 393 394 // Test multiply doesn't overflow, add overflows 395 EXPECT_EQ(Max, SaturatingMultiplyAdd(T(1), T(1), Max, &ResultOverflowed)); 396 EXPECT_TRUE(ResultOverflowed); 397 398 // Test multiply-add with Max as operand 399 EXPECT_EQ(Max, SaturatingMultiplyAdd(T(1), T(1), Max, &ResultOverflowed)); 400 EXPECT_TRUE(ResultOverflowed); 401 402 EXPECT_EQ(Max, SaturatingMultiplyAdd(T(1), Max, T(1), &ResultOverflowed)); 403 EXPECT_TRUE(ResultOverflowed); 404 405 EXPECT_EQ(Max, SaturatingMultiplyAdd(Max, Max, T(1), &ResultOverflowed)); 406 EXPECT_TRUE(ResultOverflowed); 407 408 EXPECT_EQ(Max, SaturatingMultiplyAdd(Max, Max, Max, &ResultOverflowed)); 409 EXPECT_TRUE(ResultOverflowed); 410 411 // Test multiply-add with 0 as operand 412 EXPECT_EQ(T(1), SaturatingMultiplyAdd(T(1), T(1), T(0), &ResultOverflowed)); 413 EXPECT_FALSE(ResultOverflowed); 414 415 EXPECT_EQ(T(1), SaturatingMultiplyAdd(T(1), T(0), T(1), &ResultOverflowed)); 416 EXPECT_FALSE(ResultOverflowed); 417 418 EXPECT_EQ(T(1), SaturatingMultiplyAdd(T(0), T(0), T(1), &ResultOverflowed)); 419 EXPECT_FALSE(ResultOverflowed); 420 421 EXPECT_EQ(T(0), SaturatingMultiplyAdd(T(0), T(0), T(0), &ResultOverflowed)); 422 EXPECT_FALSE(ResultOverflowed); 423 424 } 425 426 TEST(MathExtras, SaturatingMultiplyAdd) { 427 SaturatingMultiplyAddTestHelper<uint8_t>(); 428 SaturatingMultiplyAddTestHelper<uint16_t>(); 429 SaturatingMultiplyAddTestHelper<uint32_t>(); 430 SaturatingMultiplyAddTestHelper<uint64_t>(); 431 } 432 433 TEST(MathExtras, IsShiftedUInt) { 434 EXPECT_TRUE((isShiftedUInt<1, 0>(0))); 435 EXPECT_TRUE((isShiftedUInt<1, 0>(1))); 436 EXPECT_FALSE((isShiftedUInt<1, 0>(2))); 437 EXPECT_FALSE((isShiftedUInt<1, 0>(3))); 438 EXPECT_FALSE((isShiftedUInt<1, 0>(0x8000000000000000))); 439 EXPECT_TRUE((isShiftedUInt<1, 63>(0x8000000000000000))); 440 EXPECT_TRUE((isShiftedUInt<2, 62>(0xC000000000000000))); 441 EXPECT_FALSE((isShiftedUInt<2, 62>(0xE000000000000000))); 442 443 // 0x201 is ten bits long and has a 1 in the MSB and LSB. 444 EXPECT_TRUE((isShiftedUInt<10, 5>(uint64_t(0x201) << 5))); 445 EXPECT_FALSE((isShiftedUInt<10, 5>(uint64_t(0x201) << 4))); 446 EXPECT_FALSE((isShiftedUInt<10, 5>(uint64_t(0x201) << 6))); 447 } 448 449 TEST(MathExtras, IsShiftedInt) { 450 EXPECT_TRUE((isShiftedInt<1, 0>(0))); 451 EXPECT_TRUE((isShiftedInt<1, 0>(-1))); 452 EXPECT_FALSE((isShiftedInt<1, 0>(2))); 453 EXPECT_FALSE((isShiftedInt<1, 0>(3))); 454 EXPECT_FALSE((isShiftedInt<1, 0>(0x8000000000000000))); 455 EXPECT_TRUE((isShiftedInt<1, 63>(0x8000000000000000))); 456 EXPECT_TRUE((isShiftedInt<2, 62>(0xC000000000000000))); 457 EXPECT_FALSE((isShiftedInt<2, 62>(0xE000000000000000))); 458 459 // 0x201 is ten bits long and has a 1 in the MSB and LSB. 460 EXPECT_TRUE((isShiftedInt<11, 5>(int64_t(0x201) << 5))); 461 EXPECT_FALSE((isShiftedInt<11, 5>(int64_t(0x201) << 3))); 462 EXPECT_FALSE((isShiftedInt<11, 5>(int64_t(0x201) << 6))); 463 EXPECT_TRUE((isShiftedInt<11, 5>(-(int64_t(0x201) << 5)))); 464 EXPECT_FALSE((isShiftedInt<11, 5>(-(int64_t(0x201) << 3)))); 465 EXPECT_FALSE((isShiftedInt<11, 5>(-(int64_t(0x201) << 6)))); 466 467 EXPECT_TRUE((isShiftedInt<6, 10>(-(int64_t(1) << 15)))); 468 EXPECT_FALSE((isShiftedInt<6, 10>(int64_t(1) << 15))); 469 } 470 471 template <typename T> 472 class OverflowTest : public ::testing::Test { }; 473 474 using OverflowTestTypes = ::testing::Types<signed char, short, int, long, 475 long long>; 476 477 TYPED_TEST_CASE(OverflowTest, OverflowTestTypes); 478 479 TYPED_TEST(OverflowTest, AddNoOverflow) { 480 TypeParam Result; 481 EXPECT_FALSE(AddOverflow<TypeParam>(1, 2, Result)); 482 EXPECT_EQ(Result, TypeParam(3)); 483 } 484 485 TYPED_TEST(OverflowTest, AddOverflowToNegative) { 486 TypeParam Result; 487 auto MaxValue = std::numeric_limits<TypeParam>::max(); 488 EXPECT_TRUE(AddOverflow<TypeParam>(MaxValue, MaxValue, Result)); 489 EXPECT_EQ(Result, TypeParam(-2)); 490 } 491 492 TYPED_TEST(OverflowTest, AddOverflowToMin) { 493 TypeParam Result; 494 auto MaxValue = std::numeric_limits<TypeParam>::max(); 495 EXPECT_TRUE(AddOverflow<TypeParam>(MaxValue, TypeParam(1), Result)); 496 EXPECT_EQ(Result, std::numeric_limits<TypeParam>::min()); 497 } 498 499 TYPED_TEST(OverflowTest, AddOverflowToZero) { 500 TypeParam Result; 501 auto MinValue = std::numeric_limits<TypeParam>::min(); 502 EXPECT_TRUE(AddOverflow<TypeParam>(MinValue, MinValue, Result)); 503 EXPECT_EQ(Result, TypeParam(0)); 504 } 505 506 TYPED_TEST(OverflowTest, AddOverflowToMax) { 507 TypeParam Result; 508 auto MinValue = std::numeric_limits<TypeParam>::min(); 509 EXPECT_TRUE(AddOverflow<TypeParam>(MinValue, TypeParam(-1), Result)); 510 EXPECT_EQ(Result, std::numeric_limits<TypeParam>::max()); 511 } 512 513 TYPED_TEST(OverflowTest, SubNoOverflow) { 514 TypeParam Result; 515 EXPECT_FALSE(SubOverflow<TypeParam>(1, 2, Result)); 516 EXPECT_EQ(Result, TypeParam(-1)); 517 } 518 519 TYPED_TEST(OverflowTest, SubOverflowToMax) { 520 TypeParam Result; 521 auto MinValue = std::numeric_limits<TypeParam>::min(); 522 EXPECT_TRUE(SubOverflow<TypeParam>(0, MinValue, Result)); 523 EXPECT_EQ(Result, MinValue); 524 } 525 526 TYPED_TEST(OverflowTest, SubOverflowToMin) { 527 TypeParam Result; 528 auto MinValue = std::numeric_limits<TypeParam>::min(); 529 EXPECT_TRUE(SubOverflow<TypeParam>(0, MinValue, Result)); 530 EXPECT_EQ(Result, MinValue); 531 } 532 533 TYPED_TEST(OverflowTest, SubOverflowToNegative) { 534 TypeParam Result; 535 auto MaxValue = std::numeric_limits<TypeParam>::max(); 536 auto MinValue = std::numeric_limits<TypeParam>::min(); 537 EXPECT_TRUE(SubOverflow<TypeParam>(MaxValue, MinValue, Result)); 538 EXPECT_EQ(Result, TypeParam(-1)); 539 } 540 541 TYPED_TEST(OverflowTest, SubOverflowToPositive) { 542 TypeParam Result; 543 auto MaxValue = std::numeric_limits<TypeParam>::max(); 544 auto MinValue = std::numeric_limits<TypeParam>::min(); 545 EXPECT_TRUE(SubOverflow<TypeParam>(MinValue, MaxValue, Result)); 546 EXPECT_EQ(Result, TypeParam(1)); 547 } 548 549 TYPED_TEST(OverflowTest, MulNoOverflow) { 550 TypeParam Result; 551 EXPECT_FALSE(MulOverflow<TypeParam>(1, 2, Result)); 552 EXPECT_EQ(Result, 2); 553 EXPECT_FALSE(MulOverflow<TypeParam>(-1, 3, Result)); 554 EXPECT_EQ(Result, -3); 555 EXPECT_FALSE(MulOverflow<TypeParam>(4, -2, Result)); 556 EXPECT_EQ(Result, -8); 557 EXPECT_FALSE(MulOverflow<TypeParam>(-6, -5, Result)); 558 EXPECT_EQ(Result, 30); 559 } 560 561 TYPED_TEST(OverflowTest, MulNoOverflowToMax) { 562 TypeParam Result; 563 auto MaxValue = std::numeric_limits<TypeParam>::max(); 564 auto MinValue = std::numeric_limits<TypeParam>::min(); 565 EXPECT_FALSE(MulOverflow<TypeParam>(MinValue + 1, -1, Result)); 566 EXPECT_EQ(Result, MaxValue); 567 } 568 569 TYPED_TEST(OverflowTest, MulOverflowToMin) { 570 TypeParam Result; 571 auto MinValue = std::numeric_limits<TypeParam>::min(); 572 EXPECT_TRUE(MulOverflow<TypeParam>(MinValue, -1, Result)); 573 EXPECT_EQ(Result, MinValue); 574 } 575 576 TYPED_TEST(OverflowTest, MulOverflowMax) { 577 TypeParam Result; 578 auto MinValue = std::numeric_limits<TypeParam>::min(); 579 auto MaxValue = std::numeric_limits<TypeParam>::max(); 580 EXPECT_TRUE(MulOverflow<TypeParam>(MinValue, MinValue, Result)); 581 EXPECT_EQ(Result, 0); 582 EXPECT_TRUE(MulOverflow<TypeParam>(MaxValue, MaxValue, Result)); 583 EXPECT_EQ(Result, 1); 584 } 585 586 TYPED_TEST(OverflowTest, MulResultZero) { 587 TypeParam Result; 588 EXPECT_FALSE(MulOverflow<TypeParam>(4, 0, Result)); 589 EXPECT_EQ(Result, TypeParam(0)); 590 EXPECT_FALSE(MulOverflow<TypeParam>(-5, 0, Result)); 591 EXPECT_EQ(Result, TypeParam(0)); 592 EXPECT_FALSE(MulOverflow<TypeParam>(0, 5, Result)); 593 EXPECT_EQ(Result, TypeParam(0)); 594 EXPECT_FALSE(MulOverflow<TypeParam>(0, -5, Result)); 595 EXPECT_EQ(Result, TypeParam(0)); 596 } 597 598 } // namespace 599