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, onesMask) { 17 EXPECT_EQ(0U, maskLeadingOnes<uint8_t>(0)); 18 EXPECT_EQ(0U, maskTrailingOnes<uint8_t>(0)); 19 EXPECT_EQ(0U, maskLeadingOnes<uint16_t>(0)); 20 EXPECT_EQ(0U, maskTrailingOnes<uint16_t>(0)); 21 EXPECT_EQ(0U, maskLeadingOnes<uint32_t>(0)); 22 EXPECT_EQ(0U, maskTrailingOnes<uint32_t>(0)); 23 EXPECT_EQ(0U, maskLeadingOnes<uint64_t>(0)); 24 EXPECT_EQ(0U, maskTrailingOnes<uint64_t>(0)); 25 26 EXPECT_EQ(0x00000003U, maskTrailingOnes<uint32_t>(2U)); 27 EXPECT_EQ(0xC0000000U, maskLeadingOnes<uint32_t>(2U)); 28 29 EXPECT_EQ(0x000007FFU, maskTrailingOnes<uint32_t>(11U)); 30 EXPECT_EQ(0xFFE00000U, maskLeadingOnes<uint32_t>(11U)); 31 32 EXPECT_EQ(0xFFFFFFFFU, maskTrailingOnes<uint32_t>(32U)); 33 EXPECT_EQ(0xFFFFFFFFU, maskLeadingOnes<uint32_t>(32U)); 34 EXPECT_EQ(0xFFFFFFFFFFFFFFFFULL, maskTrailingOnes<uint64_t>(64U)); 35 EXPECT_EQ(0xFFFFFFFFFFFFFFFFULL, maskLeadingOnes<uint64_t>(64U)); 36 37 EXPECT_EQ(0x0000FFFFFFFFFFFFULL, maskTrailingOnes<uint64_t>(48U)); 38 EXPECT_EQ(0xFFFFFFFFFFFF0000ULL, maskLeadingOnes<uint64_t>(48U)); 39 } 40 41 TEST(MathExtras, isIntN) { 42 EXPECT_TRUE(isIntN(16, 32767)); 43 EXPECT_FALSE(isIntN(16, 32768)); 44 } 45 46 TEST(MathExtras, isUIntN) { 47 EXPECT_TRUE(isUIntN(16, 65535)); 48 EXPECT_FALSE(isUIntN(16, 65536)); 49 EXPECT_TRUE(isUIntN(1, 0)); 50 EXPECT_TRUE(isUIntN(6, 63)); 51 } 52 53 TEST(MathExtras, maxIntN) { 54 EXPECT_EQ(32767, maxIntN(16)); 55 EXPECT_EQ(2147483647, maxIntN(32)); 56 EXPECT_EQ(std::numeric_limits<int32_t>::max(), maxIntN(32)); 57 EXPECT_EQ(std::numeric_limits<int64_t>::max(), maxIntN(64)); 58 } 59 60 TEST(MathExtras, minIntN) { 61 EXPECT_EQ(-32768LL, minIntN(16)); 62 EXPECT_EQ(-64LL, minIntN(7)); 63 EXPECT_EQ(std::numeric_limits<int32_t>::min(), minIntN(32)); 64 EXPECT_EQ(std::numeric_limits<int64_t>::min(), minIntN(64)); 65 } 66 67 TEST(MathExtras, maxUIntN) { 68 EXPECT_EQ(0xffffULL, maxUIntN(16)); 69 EXPECT_EQ(0xffffffffULL, maxUIntN(32)); 70 EXPECT_EQ(0xffffffffffffffffULL, maxUIntN(64)); 71 EXPECT_EQ(1ULL, maxUIntN(1)); 72 EXPECT_EQ(0x0fULL, maxUIntN(4)); 73 } 74 75 TEST(MathExtras, reverseBits) { 76 uint8_t NZ8 = 42; 77 uint16_t NZ16 = 42; 78 uint32_t NZ32 = 42; 79 uint64_t NZ64 = 42; 80 EXPECT_EQ(0x54ULL, reverseBits(NZ8)); 81 EXPECT_EQ(0x5400ULL, reverseBits(NZ16)); 82 EXPECT_EQ(0x54000000ULL, reverseBits(NZ32)); 83 EXPECT_EQ(0x5400000000000000ULL, reverseBits(NZ64)); 84 } 85 86 TEST(MathExtras, isShiftedMask_32) { 87 EXPECT_FALSE(isShiftedMask_32(0x01010101)); 88 EXPECT_TRUE(isShiftedMask_32(0xf0000000)); 89 EXPECT_TRUE(isShiftedMask_32(0xffff0000)); 90 EXPECT_TRUE(isShiftedMask_32(0xff << 1)); 91 92 unsigned MaskIdx, MaskLen; 93 EXPECT_FALSE(isShiftedMask_32(0x01010101, MaskIdx, MaskLen)); 94 EXPECT_TRUE(isShiftedMask_32(0xf0000000, MaskIdx, MaskLen)); 95 EXPECT_EQ(28, (int)MaskIdx); 96 EXPECT_EQ(4, (int)MaskLen); 97 EXPECT_TRUE(isShiftedMask_32(0xffff0000, MaskIdx, MaskLen)); 98 EXPECT_EQ(16, (int)MaskIdx); 99 EXPECT_EQ(16, (int)MaskLen); 100 EXPECT_TRUE(isShiftedMask_32(0xff << 1, MaskIdx, MaskLen)); 101 EXPECT_EQ(1, (int)MaskIdx); 102 EXPECT_EQ(8, (int)MaskLen); 103 } 104 105 TEST(MathExtras, isShiftedMask_64) { 106 EXPECT_FALSE(isShiftedMask_64(0x0101010101010101ull)); 107 EXPECT_TRUE(isShiftedMask_64(0xf000000000000000ull)); 108 EXPECT_TRUE(isShiftedMask_64(0xffff000000000000ull)); 109 EXPECT_TRUE(isShiftedMask_64(0xffull << 55)); 110 111 unsigned MaskIdx, MaskLen; 112 EXPECT_FALSE(isShiftedMask_64(0x0101010101010101ull, MaskIdx, MaskLen)); 113 EXPECT_TRUE(isShiftedMask_64(0xf000000000000000ull, MaskIdx, MaskLen)); 114 EXPECT_EQ(60, (int)MaskIdx); 115 EXPECT_EQ(4, (int)MaskLen); 116 EXPECT_TRUE(isShiftedMask_64(0xffff000000000000ull, MaskIdx, MaskLen)); 117 EXPECT_EQ(48, (int)MaskIdx); 118 EXPECT_EQ(16, (int)MaskLen); 119 EXPECT_TRUE(isShiftedMask_64(0xffull << 55, MaskIdx, MaskLen)); 120 EXPECT_EQ(55, (int)MaskIdx); 121 EXPECT_EQ(8, (int)MaskLen); 122 } 123 124 TEST(MathExtras, isPowerOf2_32) { 125 EXPECT_FALSE(isPowerOf2_32(0)); 126 EXPECT_TRUE(isPowerOf2_32(1 << 6)); 127 EXPECT_TRUE(isPowerOf2_32(1 << 12)); 128 EXPECT_FALSE(isPowerOf2_32((1 << 19) + 3)); 129 EXPECT_FALSE(isPowerOf2_32(0xABCDEF0)); 130 } 131 132 TEST(MathExtras, isPowerOf2_64) { 133 EXPECT_FALSE(isPowerOf2_64(0)); 134 EXPECT_TRUE(isPowerOf2_64(1LL << 46)); 135 EXPECT_TRUE(isPowerOf2_64(1LL << 12)); 136 EXPECT_FALSE(isPowerOf2_64((1LL << 53) + 3)); 137 EXPECT_FALSE(isPowerOf2_64(0xABCDEF0ABCDEF0LL)); 138 } 139 140 TEST(MathExtras, PowerOf2Ceil) { 141 EXPECT_EQ(0U, PowerOf2Ceil(0U)); 142 EXPECT_EQ(8U, PowerOf2Ceil(8U)); 143 EXPECT_EQ(8U, PowerOf2Ceil(7U)); 144 } 145 146 TEST(MathExtras, CTLog2) { 147 EXPECT_EQ(CTLog2<1ULL << 0>(), 0U); 148 EXPECT_EQ(CTLog2<1ULL << 1>(), 1U); 149 EXPECT_EQ(CTLog2<1ULL << 2>(), 2U); 150 EXPECT_EQ(CTLog2<1ULL << 3>(), 3U); 151 EXPECT_EQ(CTLog2<1ULL << 4>(), 4U); 152 EXPECT_EQ(CTLog2<1ULL << 5>(), 5U); 153 EXPECT_EQ(CTLog2<1ULL << 6>(), 6U); 154 EXPECT_EQ(CTLog2<1ULL << 7>(), 7U); 155 EXPECT_EQ(CTLog2<1ULL << 8>(), 8U); 156 EXPECT_EQ(CTLog2<1ULL << 9>(), 9U); 157 EXPECT_EQ(CTLog2<1ULL << 10>(), 10U); 158 EXPECT_EQ(CTLog2<1ULL << 11>(), 11U); 159 EXPECT_EQ(CTLog2<1ULL << 12>(), 12U); 160 EXPECT_EQ(CTLog2<1ULL << 13>(), 13U); 161 EXPECT_EQ(CTLog2<1ULL << 14>(), 14U); 162 EXPECT_EQ(CTLog2<1ULL << 15>(), 15U); 163 } 164 165 TEST(MathExtras, FloatBits) { 166 static const float kValue = 5632.34f; 167 EXPECT_FLOAT_EQ(kValue, BitsToFloat(FloatToBits(kValue))); 168 } 169 170 TEST(MathExtras, DoubleBits) { 171 static const double kValue = 87987234.983498; 172 EXPECT_DOUBLE_EQ(kValue, BitsToDouble(DoubleToBits(kValue))); 173 } 174 175 TEST(MathExtras, MinAlign) { 176 EXPECT_EQ(1u, MinAlign(2, 3)); 177 EXPECT_EQ(2u, MinAlign(2, 4)); 178 EXPECT_EQ(1u, MinAlign(17, 64)); 179 EXPECT_EQ(256u, MinAlign(256, 512)); 180 } 181 182 TEST(MathExtras, NextPowerOf2) { 183 EXPECT_EQ(4u, NextPowerOf2(3)); 184 EXPECT_EQ(16u, NextPowerOf2(15)); 185 EXPECT_EQ(256u, NextPowerOf2(128)); 186 } 187 188 TEST(MathExtras, alignTo) { 189 EXPECT_EQ(8u, alignTo(5, 8)); 190 EXPECT_EQ(24u, alignTo(17, 8)); 191 EXPECT_EQ(0u, alignTo(~0LL, 8)); 192 193 EXPECT_EQ(7u, alignTo(5, 8, 7)); 194 EXPECT_EQ(17u, alignTo(17, 8, 1)); 195 EXPECT_EQ(3u, alignTo(~0LL, 8, 3)); 196 EXPECT_EQ(552u, alignTo(321, 255, 42)); 197 } 198 199 template <typename T> void SaturatingAddTestHelper() { 200 const T Max = std::numeric_limits<T>::max(); 201 bool ResultOverflowed; 202 203 EXPECT_EQ(T(3), SaturatingAdd(T(1), T(2))); 204 EXPECT_EQ(T(3), SaturatingAdd(T(1), T(2), &ResultOverflowed)); 205 EXPECT_FALSE(ResultOverflowed); 206 207 EXPECT_EQ(Max, SaturatingAdd(Max, T(1))); 208 EXPECT_EQ(Max, SaturatingAdd(Max, T(1), &ResultOverflowed)); 209 EXPECT_TRUE(ResultOverflowed); 210 211 EXPECT_EQ(Max, SaturatingAdd(T(1), T(Max - 1))); 212 EXPECT_EQ(Max, SaturatingAdd(T(1), T(Max - 1), &ResultOverflowed)); 213 EXPECT_FALSE(ResultOverflowed); 214 215 EXPECT_EQ(Max, SaturatingAdd(T(1), Max)); 216 EXPECT_EQ(Max, SaturatingAdd(T(1), Max, &ResultOverflowed)); 217 EXPECT_TRUE(ResultOverflowed); 218 219 EXPECT_EQ(Max, SaturatingAdd(Max, Max)); 220 EXPECT_EQ(Max, SaturatingAdd(Max, Max, &ResultOverflowed)); 221 EXPECT_TRUE(ResultOverflowed); 222 223 EXPECT_EQ(T(6), SaturatingAdd(T(1), T(2), T(3))); 224 EXPECT_EQ(T(6), SaturatingAdd(T(1), T(2), T(3), &ResultOverflowed)); 225 EXPECT_FALSE(ResultOverflowed); 226 227 EXPECT_EQ(T(10), SaturatingAdd(T(1), T(2), T(3), T(4))); 228 EXPECT_EQ(T(10), SaturatingAdd(T(1), T(2), T(3), T(4), &ResultOverflowed)); 229 EXPECT_FALSE(ResultOverflowed); 230 231 EXPECT_EQ(Max, SaturatingAdd(Max, T(0), T(0))); 232 EXPECT_EQ(Max, SaturatingAdd(Max, T(0), T(0), &ResultOverflowed)); 233 EXPECT_FALSE(ResultOverflowed); 234 235 EXPECT_EQ(Max, SaturatingAdd(T(0), T(0), Max)); 236 EXPECT_EQ(Max, SaturatingAdd(T(0), T(0), Max, &ResultOverflowed)); 237 EXPECT_FALSE(ResultOverflowed); 238 239 EXPECT_EQ(Max, SaturatingAdd(Max, T(0), T(1))); 240 EXPECT_EQ(Max, SaturatingAdd(Max, T(0), T(1), &ResultOverflowed)); 241 EXPECT_TRUE(ResultOverflowed); 242 243 EXPECT_EQ(Max, SaturatingAdd(T(0), T(1), Max)); 244 EXPECT_EQ(Max, SaturatingAdd(T(0), T(1), Max, &ResultOverflowed)); 245 EXPECT_TRUE(ResultOverflowed); 246 247 EXPECT_EQ(Max, SaturatingAdd(T(1), T(Max - 2), T(1))); 248 EXPECT_EQ(Max, SaturatingAdd(T(1), T(Max - 2), T(1), &ResultOverflowed)); 249 EXPECT_FALSE(ResultOverflowed); 250 251 EXPECT_EQ(Max, SaturatingAdd(T(1), T(1), T(Max - 2))); 252 EXPECT_EQ(Max, SaturatingAdd(T(1), T(1), T(Max - 2), &ResultOverflowed)); 253 EXPECT_FALSE(ResultOverflowed); 254 255 EXPECT_EQ(Max, SaturatingAdd(Max, Max, Max)); 256 EXPECT_EQ(Max, SaturatingAdd(Max, Max, Max, &ResultOverflowed)); 257 EXPECT_TRUE(ResultOverflowed); 258 } 259 260 TEST(MathExtras, SaturatingAdd) { 261 SaturatingAddTestHelper<uint8_t>(); 262 SaturatingAddTestHelper<uint16_t>(); 263 SaturatingAddTestHelper<uint32_t>(); 264 SaturatingAddTestHelper<uint64_t>(); 265 } 266 267 template<typename T> 268 void SaturatingMultiplyTestHelper() 269 { 270 const T Max = std::numeric_limits<T>::max(); 271 bool ResultOverflowed; 272 273 // Test basic multiplication. 274 EXPECT_EQ(T(6), SaturatingMultiply(T(2), T(3))); 275 EXPECT_EQ(T(6), SaturatingMultiply(T(2), T(3), &ResultOverflowed)); 276 EXPECT_FALSE(ResultOverflowed); 277 278 EXPECT_EQ(T(6), SaturatingMultiply(T(3), T(2))); 279 EXPECT_EQ(T(6), SaturatingMultiply(T(3), T(2), &ResultOverflowed)); 280 EXPECT_FALSE(ResultOverflowed); 281 282 // Test multiplication by zero. 283 EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(0))); 284 EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(0), &ResultOverflowed)); 285 EXPECT_FALSE(ResultOverflowed); 286 287 EXPECT_EQ(T(0), SaturatingMultiply(T(1), T(0))); 288 EXPECT_EQ(T(0), SaturatingMultiply(T(1), T(0), &ResultOverflowed)); 289 EXPECT_FALSE(ResultOverflowed); 290 291 EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(1))); 292 EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(1), &ResultOverflowed)); 293 EXPECT_FALSE(ResultOverflowed); 294 295 EXPECT_EQ(T(0), SaturatingMultiply(Max, T(0))); 296 EXPECT_EQ(T(0), SaturatingMultiply(Max, T(0), &ResultOverflowed)); 297 EXPECT_FALSE(ResultOverflowed); 298 299 EXPECT_EQ(T(0), SaturatingMultiply(T(0), Max)); 300 EXPECT_EQ(T(0), SaturatingMultiply(T(0), Max, &ResultOverflowed)); 301 EXPECT_FALSE(ResultOverflowed); 302 303 // Test multiplication by maximum value. 304 EXPECT_EQ(Max, SaturatingMultiply(Max, T(2))); 305 EXPECT_EQ(Max, SaturatingMultiply(Max, T(2), &ResultOverflowed)); 306 EXPECT_TRUE(ResultOverflowed); 307 308 EXPECT_EQ(Max, SaturatingMultiply(T(2), Max)); 309 EXPECT_EQ(Max, SaturatingMultiply(T(2), Max, &ResultOverflowed)); 310 EXPECT_TRUE(ResultOverflowed); 311 312 EXPECT_EQ(Max, SaturatingMultiply(Max, Max)); 313 EXPECT_EQ(Max, SaturatingMultiply(Max, Max, &ResultOverflowed)); 314 EXPECT_TRUE(ResultOverflowed); 315 316 // Test interesting boundary conditions for algorithm - 317 // ((1 << A) - 1) * ((1 << B) + K) for K in [-1, 0, 1] 318 // and A + B == std::numeric_limits<T>::digits. 319 // We expect overflow iff A > B and K = 1. 320 const int Digits = std::numeric_limits<T>::digits; 321 for (int A = 1, B = Digits - 1; B >= 1; ++A, --B) { 322 for (int K = -1; K <= 1; ++K) { 323 T X = (T(1) << A) - T(1); 324 T Y = (T(1) << B) + K; 325 bool OverflowExpected = A > B && K == 1; 326 327 if(OverflowExpected) { 328 EXPECT_EQ(Max, SaturatingMultiply(X, Y)); 329 EXPECT_EQ(Max, SaturatingMultiply(X, Y, &ResultOverflowed)); 330 EXPECT_TRUE(ResultOverflowed); 331 } else { 332 EXPECT_EQ(X * Y, SaturatingMultiply(X, Y)); 333 EXPECT_EQ(X * Y, SaturatingMultiply(X, Y, &ResultOverflowed)); 334 EXPECT_FALSE(ResultOverflowed); 335 } 336 } 337 } 338 } 339 340 TEST(MathExtras, SaturatingMultiply) { 341 SaturatingMultiplyTestHelper<uint8_t>(); 342 SaturatingMultiplyTestHelper<uint16_t>(); 343 SaturatingMultiplyTestHelper<uint32_t>(); 344 SaturatingMultiplyTestHelper<uint64_t>(); 345 } 346 347 template<typename T> 348 void SaturatingMultiplyAddTestHelper() 349 { 350 const T Max = std::numeric_limits<T>::max(); 351 bool ResultOverflowed; 352 353 // Test basic multiply-add. 354 EXPECT_EQ(T(16), SaturatingMultiplyAdd(T(2), T(3), T(10))); 355 EXPECT_EQ(T(16), SaturatingMultiplyAdd(T(2), T(3), T(10), &ResultOverflowed)); 356 EXPECT_FALSE(ResultOverflowed); 357 358 // Test multiply overflows, add doesn't overflow 359 EXPECT_EQ(Max, SaturatingMultiplyAdd(Max, Max, T(0), &ResultOverflowed)); 360 EXPECT_TRUE(ResultOverflowed); 361 362 // Test multiply doesn't overflow, add overflows 363 EXPECT_EQ(Max, SaturatingMultiplyAdd(T(1), T(1), Max, &ResultOverflowed)); 364 EXPECT_TRUE(ResultOverflowed); 365 366 // Test multiply-add with Max as operand 367 EXPECT_EQ(Max, SaturatingMultiplyAdd(T(1), T(1), Max, &ResultOverflowed)); 368 EXPECT_TRUE(ResultOverflowed); 369 370 EXPECT_EQ(Max, SaturatingMultiplyAdd(T(1), Max, T(1), &ResultOverflowed)); 371 EXPECT_TRUE(ResultOverflowed); 372 373 EXPECT_EQ(Max, SaturatingMultiplyAdd(Max, Max, T(1), &ResultOverflowed)); 374 EXPECT_TRUE(ResultOverflowed); 375 376 EXPECT_EQ(Max, SaturatingMultiplyAdd(Max, Max, Max, &ResultOverflowed)); 377 EXPECT_TRUE(ResultOverflowed); 378 379 // Test multiply-add with 0 as operand 380 EXPECT_EQ(T(1), SaturatingMultiplyAdd(T(1), T(1), T(0), &ResultOverflowed)); 381 EXPECT_FALSE(ResultOverflowed); 382 383 EXPECT_EQ(T(1), SaturatingMultiplyAdd(T(1), T(0), T(1), &ResultOverflowed)); 384 EXPECT_FALSE(ResultOverflowed); 385 386 EXPECT_EQ(T(1), SaturatingMultiplyAdd(T(0), T(0), T(1), &ResultOverflowed)); 387 EXPECT_FALSE(ResultOverflowed); 388 389 EXPECT_EQ(T(0), SaturatingMultiplyAdd(T(0), T(0), T(0), &ResultOverflowed)); 390 EXPECT_FALSE(ResultOverflowed); 391 392 } 393 394 TEST(MathExtras, SaturatingMultiplyAdd) { 395 SaturatingMultiplyAddTestHelper<uint8_t>(); 396 SaturatingMultiplyAddTestHelper<uint16_t>(); 397 SaturatingMultiplyAddTestHelper<uint32_t>(); 398 SaturatingMultiplyAddTestHelper<uint64_t>(); 399 } 400 401 TEST(MathExtras, IsShiftedUInt) { 402 EXPECT_TRUE((isShiftedUInt<1, 0>(0))); 403 EXPECT_TRUE((isShiftedUInt<1, 0>(1))); 404 EXPECT_FALSE((isShiftedUInt<1, 0>(2))); 405 EXPECT_FALSE((isShiftedUInt<1, 0>(3))); 406 EXPECT_FALSE((isShiftedUInt<1, 0>(0x8000000000000000))); 407 EXPECT_TRUE((isShiftedUInt<1, 63>(0x8000000000000000))); 408 EXPECT_TRUE((isShiftedUInt<2, 62>(0xC000000000000000))); 409 EXPECT_FALSE((isShiftedUInt<2, 62>(0xE000000000000000))); 410 411 // 0x201 is ten bits long and has a 1 in the MSB and LSB. 412 EXPECT_TRUE((isShiftedUInt<10, 5>(uint64_t(0x201) << 5))); 413 EXPECT_FALSE((isShiftedUInt<10, 5>(uint64_t(0x201) << 4))); 414 EXPECT_FALSE((isShiftedUInt<10, 5>(uint64_t(0x201) << 6))); 415 } 416 417 TEST(MathExtras, IsShiftedInt) { 418 EXPECT_TRUE((isShiftedInt<1, 0>(0))); 419 EXPECT_TRUE((isShiftedInt<1, 0>(-1))); 420 EXPECT_FALSE((isShiftedInt<1, 0>(2))); 421 EXPECT_FALSE((isShiftedInt<1, 0>(3))); 422 EXPECT_FALSE((isShiftedInt<1, 0>(0x8000000000000000))); 423 EXPECT_TRUE((isShiftedInt<1, 63>(0x8000000000000000))); 424 EXPECT_TRUE((isShiftedInt<2, 62>(0xC000000000000000))); 425 EXPECT_FALSE((isShiftedInt<2, 62>(0xE000000000000000))); 426 427 // 0x201 is ten bits long and has a 1 in the MSB and LSB. 428 EXPECT_TRUE((isShiftedInt<11, 5>(int64_t(0x201) << 5))); 429 EXPECT_FALSE((isShiftedInt<11, 5>(int64_t(0x201) << 3))); 430 EXPECT_FALSE((isShiftedInt<11, 5>(int64_t(0x201) << 6))); 431 EXPECT_TRUE((isShiftedInt<11, 5>(-(int64_t(0x201) << 5)))); 432 EXPECT_FALSE((isShiftedInt<11, 5>(-(int64_t(0x201) << 3)))); 433 EXPECT_FALSE((isShiftedInt<11, 5>(-(int64_t(0x201) << 6)))); 434 435 EXPECT_TRUE((isShiftedInt<6, 10>(-(int64_t(1) << 15)))); 436 EXPECT_FALSE((isShiftedInt<6, 10>(int64_t(1) << 15))); 437 } 438 439 template <typename T> 440 class OverflowTest : public ::testing::Test { }; 441 442 using OverflowTestTypes = ::testing::Types<signed char, short, int, long, 443 long long>; 444 445 TYPED_TEST_SUITE(OverflowTest, OverflowTestTypes, ); 446 447 TYPED_TEST(OverflowTest, AddNoOverflow) { 448 TypeParam Result; 449 EXPECT_FALSE(AddOverflow<TypeParam>(1, 2, Result)); 450 EXPECT_EQ(Result, TypeParam(3)); 451 } 452 453 TYPED_TEST(OverflowTest, AddOverflowToNegative) { 454 TypeParam Result; 455 auto MaxValue = std::numeric_limits<TypeParam>::max(); 456 EXPECT_TRUE(AddOverflow<TypeParam>(MaxValue, MaxValue, Result)); 457 EXPECT_EQ(Result, TypeParam(-2)); 458 } 459 460 TYPED_TEST(OverflowTest, AddOverflowToMin) { 461 TypeParam Result; 462 auto MaxValue = std::numeric_limits<TypeParam>::max(); 463 EXPECT_TRUE(AddOverflow<TypeParam>(MaxValue, TypeParam(1), Result)); 464 EXPECT_EQ(Result, std::numeric_limits<TypeParam>::min()); 465 } 466 467 TYPED_TEST(OverflowTest, AddOverflowToZero) { 468 TypeParam Result; 469 auto MinValue = std::numeric_limits<TypeParam>::min(); 470 EXPECT_TRUE(AddOverflow<TypeParam>(MinValue, MinValue, Result)); 471 EXPECT_EQ(Result, TypeParam(0)); 472 } 473 474 TYPED_TEST(OverflowTest, AddOverflowToMax) { 475 TypeParam Result; 476 auto MinValue = std::numeric_limits<TypeParam>::min(); 477 EXPECT_TRUE(AddOverflow<TypeParam>(MinValue, TypeParam(-1), Result)); 478 EXPECT_EQ(Result, std::numeric_limits<TypeParam>::max()); 479 } 480 481 TYPED_TEST(OverflowTest, SubNoOverflow) { 482 TypeParam Result; 483 EXPECT_FALSE(SubOverflow<TypeParam>(1, 2, Result)); 484 EXPECT_EQ(Result, TypeParam(-1)); 485 } 486 487 TYPED_TEST(OverflowTest, SubOverflowToMax) { 488 TypeParam Result; 489 auto MinValue = std::numeric_limits<TypeParam>::min(); 490 EXPECT_TRUE(SubOverflow<TypeParam>(0, MinValue, Result)); 491 EXPECT_EQ(Result, MinValue); 492 } 493 494 TYPED_TEST(OverflowTest, SubOverflowToMin) { 495 TypeParam Result; 496 auto MinValue = std::numeric_limits<TypeParam>::min(); 497 EXPECT_TRUE(SubOverflow<TypeParam>(0, MinValue, Result)); 498 EXPECT_EQ(Result, MinValue); 499 } 500 501 TYPED_TEST(OverflowTest, SubOverflowToNegative) { 502 TypeParam Result; 503 auto MaxValue = std::numeric_limits<TypeParam>::max(); 504 auto MinValue = std::numeric_limits<TypeParam>::min(); 505 EXPECT_TRUE(SubOverflow<TypeParam>(MaxValue, MinValue, Result)); 506 EXPECT_EQ(Result, TypeParam(-1)); 507 } 508 509 TYPED_TEST(OverflowTest, SubOverflowToPositive) { 510 TypeParam Result; 511 auto MaxValue = std::numeric_limits<TypeParam>::max(); 512 auto MinValue = std::numeric_limits<TypeParam>::min(); 513 EXPECT_TRUE(SubOverflow<TypeParam>(MinValue, MaxValue, Result)); 514 EXPECT_EQ(Result, TypeParam(1)); 515 } 516 517 TYPED_TEST(OverflowTest, MulNoOverflow) { 518 TypeParam Result; 519 EXPECT_FALSE(MulOverflow<TypeParam>(1, 2, Result)); 520 EXPECT_EQ(Result, 2); 521 EXPECT_FALSE(MulOverflow<TypeParam>(-1, 3, Result)); 522 EXPECT_EQ(Result, -3); 523 EXPECT_FALSE(MulOverflow<TypeParam>(4, -2, Result)); 524 EXPECT_EQ(Result, -8); 525 EXPECT_FALSE(MulOverflow<TypeParam>(-6, -5, Result)); 526 EXPECT_EQ(Result, 30); 527 } 528 529 TYPED_TEST(OverflowTest, MulNoOverflowToMax) { 530 TypeParam Result; 531 auto MaxValue = std::numeric_limits<TypeParam>::max(); 532 auto MinValue = std::numeric_limits<TypeParam>::min(); 533 EXPECT_FALSE(MulOverflow<TypeParam>(MinValue + 1, -1, Result)); 534 EXPECT_EQ(Result, MaxValue); 535 } 536 537 TYPED_TEST(OverflowTest, MulOverflowToMin) { 538 TypeParam Result; 539 auto MinValue = std::numeric_limits<TypeParam>::min(); 540 EXPECT_TRUE(MulOverflow<TypeParam>(MinValue, -1, Result)); 541 EXPECT_EQ(Result, MinValue); 542 } 543 544 TYPED_TEST(OverflowTest, MulOverflowMax) { 545 TypeParam Result; 546 auto MinValue = std::numeric_limits<TypeParam>::min(); 547 auto MaxValue = std::numeric_limits<TypeParam>::max(); 548 EXPECT_TRUE(MulOverflow<TypeParam>(MinValue, MinValue, Result)); 549 EXPECT_EQ(Result, 0); 550 EXPECT_TRUE(MulOverflow<TypeParam>(MaxValue, MaxValue, Result)); 551 EXPECT_EQ(Result, 1); 552 } 553 554 TYPED_TEST(OverflowTest, MulResultZero) { 555 TypeParam Result; 556 EXPECT_FALSE(MulOverflow<TypeParam>(4, 0, Result)); 557 EXPECT_EQ(Result, TypeParam(0)); 558 EXPECT_FALSE(MulOverflow<TypeParam>(-5, 0, Result)); 559 EXPECT_EQ(Result, TypeParam(0)); 560 EXPECT_FALSE(MulOverflow<TypeParam>(0, 5, Result)); 561 EXPECT_EQ(Result, TypeParam(0)); 562 EXPECT_FALSE(MulOverflow<TypeParam>(0, -5, Result)); 563 EXPECT_EQ(Result, TypeParam(0)); 564 } 565 566 } // namespace 567