1 //===- llvm/unittest/ADT/APFloat.cpp - APFloat unit tests ---------------------===// 2 // 3 // The LLVM Compiler Infrastructure 4 // 5 // This file is distributed under the University of Illinois Open Source 6 // License. See LICENSE.TXT for details. 7 // 8 //===----------------------------------------------------------------------===// 9 10 #include "llvm/ADT/APFloat.h" 11 #include "llvm/ADT/APSInt.h" 12 #include "llvm/ADT/SmallString.h" 13 #include "llvm/ADT/SmallVector.h" 14 #include "llvm/Support/raw_ostream.h" 15 #include "gtest/gtest.h" 16 #include <ostream> 17 #include <string> 18 19 using namespace llvm; 20 21 static double convertToDoubleFromString(const char *Str) { 22 llvm::APFloat F(0.0); 23 F.convertFromString(Str, llvm::APFloat::rmNearestTiesToEven); 24 return F.convertToDouble(); 25 } 26 27 static std::string convertToString(double d, unsigned Prec, unsigned Pad) { 28 llvm::SmallVector<char, 100> Buffer; 29 llvm::APFloat F(d); 30 F.toString(Buffer, Prec, Pad); 31 return std::string(Buffer.data(), Buffer.size()); 32 } 33 34 namespace { 35 36 TEST(APFloatTest, isSignaling) { 37 // We test qNaN, -qNaN, +sNaN, -sNaN with and without payloads. *NOTE* The 38 // positive/negative distinction is included only since the getQNaN/getSNaN 39 // API provides the option. 40 APInt payload = APInt::getOneBitSet(4, 2); 41 EXPECT_FALSE(APFloat::getQNaN(APFloat::IEEEsingle, false).isSignaling()); 42 EXPECT_FALSE(APFloat::getQNaN(APFloat::IEEEsingle, true).isSignaling()); 43 EXPECT_FALSE(APFloat::getQNaN(APFloat::IEEEsingle, false, &payload).isSignaling()); 44 EXPECT_FALSE(APFloat::getQNaN(APFloat::IEEEsingle, true, &payload).isSignaling()); 45 EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, false).isSignaling()); 46 EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, true).isSignaling()); 47 EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, false, &payload).isSignaling()); 48 EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, true, &payload).isSignaling()); 49 } 50 51 TEST(APFloatTest, next) { 52 53 APFloat test(APFloat::IEEEquad, APFloat::uninitialized); 54 APFloat expected(APFloat::IEEEquad, APFloat::uninitialized); 55 56 // 1. Test Special Cases Values. 57 // 58 // Test all special values for nextUp and nextDown perscribed by IEEE-754R 59 // 2008. These are: 60 // 1. +inf 61 // 2. -inf 62 // 3. getLargest() 63 // 4. -getLargest() 64 // 5. getSmallest() 65 // 6. -getSmallest() 66 // 7. qNaN 67 // 8. sNaN 68 // 9. +0 69 // 10. -0 70 71 // nextUp(+inf) = +inf. 72 test = APFloat::getInf(APFloat::IEEEquad, false); 73 expected = APFloat::getInf(APFloat::IEEEquad, false); 74 EXPECT_EQ(test.next(false), APFloat::opOK); 75 EXPECT_TRUE(test.isInfinity()); 76 EXPECT_TRUE(!test.isNegative()); 77 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 78 79 // nextDown(+inf) = -nextUp(-inf) = -(-getLargest()) = getLargest() 80 test = APFloat::getInf(APFloat::IEEEquad, false); 81 expected = APFloat::getLargest(APFloat::IEEEquad, false); 82 EXPECT_EQ(test.next(true), APFloat::opOK); 83 EXPECT_TRUE(!test.isNegative()); 84 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 85 86 // nextUp(-inf) = -getLargest() 87 test = APFloat::getInf(APFloat::IEEEquad, true); 88 expected = APFloat::getLargest(APFloat::IEEEquad, true); 89 EXPECT_EQ(test.next(false), APFloat::opOK); 90 EXPECT_TRUE(test.isNegative()); 91 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 92 93 // nextDown(-inf) = -nextUp(+inf) = -(+inf) = -inf. 94 test = APFloat::getInf(APFloat::IEEEquad, true); 95 expected = APFloat::getInf(APFloat::IEEEquad, true); 96 EXPECT_EQ(test.next(true), APFloat::opOK); 97 EXPECT_TRUE(test.isInfinity() && test.isNegative()); 98 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 99 100 // nextUp(getLargest()) = +inf 101 test = APFloat::getLargest(APFloat::IEEEquad, false); 102 expected = APFloat::getInf(APFloat::IEEEquad, false); 103 EXPECT_EQ(test.next(false), APFloat::opOK); 104 EXPECT_TRUE(test.isInfinity() && !test.isNegative()); 105 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 106 107 // nextDown(getLargest()) = -nextUp(-getLargest()) 108 // = -(-getLargest() + inc) 109 // = getLargest() - inc. 110 test = APFloat::getLargest(APFloat::IEEEquad, false); 111 expected = APFloat(APFloat::IEEEquad, 112 "0x1.fffffffffffffffffffffffffffep+16383"); 113 EXPECT_EQ(test.next(true), APFloat::opOK); 114 EXPECT_TRUE(!test.isInfinity() && !test.isNegative()); 115 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 116 117 // nextUp(-getLargest()) = -getLargest() + inc. 118 test = APFloat::getLargest(APFloat::IEEEquad, true); 119 expected = APFloat(APFloat::IEEEquad, 120 "-0x1.fffffffffffffffffffffffffffep+16383"); 121 EXPECT_EQ(test.next(false), APFloat::opOK); 122 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 123 124 // nextDown(-getLargest()) = -nextUp(getLargest()) = -(inf) = -inf. 125 test = APFloat::getLargest(APFloat::IEEEquad, true); 126 expected = APFloat::getInf(APFloat::IEEEquad, true); 127 EXPECT_EQ(test.next(true), APFloat::opOK); 128 EXPECT_TRUE(test.isInfinity() && test.isNegative()); 129 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 130 131 // nextUp(getSmallest()) = getSmallest() + inc. 132 test = APFloat(APFloat::IEEEquad, "0x0.0000000000000000000000000001p-16382"); 133 expected = APFloat(APFloat::IEEEquad, 134 "0x0.0000000000000000000000000002p-16382"); 135 EXPECT_EQ(test.next(false), APFloat::opOK); 136 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 137 138 // nextDown(getSmallest()) = -nextUp(-getSmallest()) = -(-0) = +0. 139 test = APFloat(APFloat::IEEEquad, "0x0.0000000000000000000000000001p-16382"); 140 expected = APFloat::getZero(APFloat::IEEEquad, false); 141 EXPECT_EQ(test.next(true), APFloat::opOK); 142 EXPECT_TRUE(test.isZero() && !test.isNegative()); 143 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 144 145 // nextUp(-getSmallest()) = -0. 146 test = APFloat(APFloat::IEEEquad, "-0x0.0000000000000000000000000001p-16382"); 147 expected = APFloat::getZero(APFloat::IEEEquad, true); 148 EXPECT_EQ(test.next(false), APFloat::opOK); 149 EXPECT_TRUE(test.isZero() && test.isNegative()); 150 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 151 152 // nextDown(-getSmallest()) = -nextUp(getSmallest()) = -getSmallest() - inc. 153 test = APFloat(APFloat::IEEEquad, "-0x0.0000000000000000000000000001p-16382"); 154 expected = APFloat(APFloat::IEEEquad, 155 "-0x0.0000000000000000000000000002p-16382"); 156 EXPECT_EQ(test.next(true), APFloat::opOK); 157 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 158 159 // nextUp(qNaN) = qNaN 160 test = APFloat::getQNaN(APFloat::IEEEquad, false); 161 expected = APFloat::getQNaN(APFloat::IEEEquad, false); 162 EXPECT_EQ(test.next(false), APFloat::opOK); 163 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 164 165 // nextDown(qNaN) = qNaN 166 test = APFloat::getQNaN(APFloat::IEEEquad, false); 167 expected = APFloat::getQNaN(APFloat::IEEEquad, false); 168 EXPECT_EQ(test.next(true), APFloat::opOK); 169 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 170 171 // nextUp(sNaN) = qNaN 172 test = APFloat::getSNaN(APFloat::IEEEquad, false); 173 expected = APFloat::getQNaN(APFloat::IEEEquad, false); 174 EXPECT_EQ(test.next(false), APFloat::opInvalidOp); 175 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 176 177 // nextDown(sNaN) = qNaN 178 test = APFloat::getSNaN(APFloat::IEEEquad, false); 179 expected = APFloat::getQNaN(APFloat::IEEEquad, false); 180 EXPECT_EQ(test.next(true), APFloat::opInvalidOp); 181 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 182 183 // nextUp(+0) = +getSmallest() 184 test = APFloat::getZero(APFloat::IEEEquad, false); 185 expected = APFloat::getSmallest(APFloat::IEEEquad, false); 186 EXPECT_EQ(test.next(false), APFloat::opOK); 187 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 188 189 // nextDown(+0) = -nextUp(-0) = -getSmallest() 190 test = APFloat::getZero(APFloat::IEEEquad, false); 191 expected = APFloat::getSmallest(APFloat::IEEEquad, true); 192 EXPECT_EQ(test.next(true), APFloat::opOK); 193 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 194 195 // nextUp(-0) = +getSmallest() 196 test = APFloat::getZero(APFloat::IEEEquad, true); 197 expected = APFloat::getSmallest(APFloat::IEEEquad, false); 198 EXPECT_EQ(test.next(false), APFloat::opOK); 199 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 200 201 // nextDown(-0) = -nextUp(0) = -getSmallest() 202 test = APFloat::getZero(APFloat::IEEEquad, true); 203 expected = APFloat::getSmallest(APFloat::IEEEquad, true); 204 EXPECT_EQ(test.next(true), APFloat::opOK); 205 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 206 207 // 2. Binade Boundary Tests. 208 209 // 2a. Test denormal <-> normal binade boundaries. 210 // * nextUp(+Largest Denormal) -> +Smallest Normal. 211 // * nextDown(-Largest Denormal) -> -Smallest Normal. 212 // * nextUp(-Smallest Normal) -> -Largest Denormal. 213 // * nextDown(+Smallest Normal) -> +Largest Denormal. 214 215 // nextUp(+Largest Denormal) -> +Smallest Normal. 216 test = APFloat(APFloat::IEEEquad, "0x0.ffffffffffffffffffffffffffffp-16382"); 217 expected = APFloat(APFloat::IEEEquad, 218 "0x1.0000000000000000000000000000p-16382"); 219 EXPECT_EQ(test.next(false), APFloat::opOK); 220 EXPECT_FALSE(test.isDenormal()); 221 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 222 223 // nextDown(-Largest Denormal) -> -Smallest Normal. 224 test = APFloat(APFloat::IEEEquad, 225 "-0x0.ffffffffffffffffffffffffffffp-16382"); 226 expected = APFloat(APFloat::IEEEquad, 227 "-0x1.0000000000000000000000000000p-16382"); 228 EXPECT_EQ(test.next(true), APFloat::opOK); 229 EXPECT_FALSE(test.isDenormal()); 230 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 231 232 // nextUp(-Smallest Normal) -> -LargestDenormal. 233 test = APFloat(APFloat::IEEEquad, 234 "-0x1.0000000000000000000000000000p-16382"); 235 expected = APFloat(APFloat::IEEEquad, 236 "-0x0.ffffffffffffffffffffffffffffp-16382"); 237 EXPECT_EQ(test.next(false), APFloat::opOK); 238 EXPECT_TRUE(test.isDenormal()); 239 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 240 241 // nextDown(+Smallest Normal) -> +Largest Denormal. 242 test = APFloat(APFloat::IEEEquad, 243 "+0x1.0000000000000000000000000000p-16382"); 244 expected = APFloat(APFloat::IEEEquad, 245 "+0x0.ffffffffffffffffffffffffffffp-16382"); 246 EXPECT_EQ(test.next(true), APFloat::opOK); 247 EXPECT_TRUE(test.isDenormal()); 248 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 249 250 // 2b. Test normal <-> normal binade boundaries. 251 // * nextUp(-Normal Binade Boundary) -> -Normal Binade Boundary + 1. 252 // * nextDown(+Normal Binade Boundary) -> +Normal Binade Boundary - 1. 253 // * nextUp(+Normal Binade Boundary - 1) -> +Normal Binade Boundary. 254 // * nextDown(-Normal Binade Boundary + 1) -> -Normal Binade Boundary. 255 256 // nextUp(-Normal Binade Boundary) -> -Normal Binade Boundary + 1. 257 test = APFloat(APFloat::IEEEquad, "-0x1p+1"); 258 expected = APFloat(APFloat::IEEEquad, 259 "-0x1.ffffffffffffffffffffffffffffp+0"); 260 EXPECT_EQ(test.next(false), APFloat::opOK); 261 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 262 263 // nextDown(+Normal Binade Boundary) -> +Normal Binade Boundary - 1. 264 test = APFloat(APFloat::IEEEquad, "0x1p+1"); 265 expected = APFloat(APFloat::IEEEquad, "0x1.ffffffffffffffffffffffffffffp+0"); 266 EXPECT_EQ(test.next(true), APFloat::opOK); 267 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 268 269 // nextUp(+Normal Binade Boundary - 1) -> +Normal Binade Boundary. 270 test = APFloat(APFloat::IEEEquad, "0x1.ffffffffffffffffffffffffffffp+0"); 271 expected = APFloat(APFloat::IEEEquad, "0x1p+1"); 272 EXPECT_EQ(test.next(false), APFloat::opOK); 273 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 274 275 // nextDown(-Normal Binade Boundary + 1) -> -Normal Binade Boundary. 276 test = APFloat(APFloat::IEEEquad, "-0x1.ffffffffffffffffffffffffffffp+0"); 277 expected = APFloat(APFloat::IEEEquad, "-0x1p+1"); 278 EXPECT_EQ(test.next(true), APFloat::opOK); 279 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 280 281 // 2c. Test using next at binade boundaries with a direction away from the 282 // binade boundary. Away from denormal <-> normal boundaries. 283 // 284 // This is to make sure that even though we are at a binade boundary, since 285 // we are rounding away, we do not trigger the binade boundary code. Thus we 286 // test: 287 // * nextUp(-Largest Denormal) -> -Largest Denormal + inc. 288 // * nextDown(+Largest Denormal) -> +Largest Denormal - inc. 289 // * nextUp(+Smallest Normal) -> +Smallest Normal + inc. 290 // * nextDown(-Smallest Normal) -> -Smallest Normal - inc. 291 292 // nextUp(-Largest Denormal) -> -Largest Denormal + inc. 293 test = APFloat(APFloat::IEEEquad, "-0x0.ffffffffffffffffffffffffffffp-16382"); 294 expected = APFloat(APFloat::IEEEquad, 295 "-0x0.fffffffffffffffffffffffffffep-16382"); 296 EXPECT_EQ(test.next(false), APFloat::opOK); 297 EXPECT_TRUE(test.isDenormal()); 298 EXPECT_TRUE(test.isNegative()); 299 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 300 301 // nextDown(+Largest Denormal) -> +Largest Denormal - inc. 302 test = APFloat(APFloat::IEEEquad, "0x0.ffffffffffffffffffffffffffffp-16382"); 303 expected = APFloat(APFloat::IEEEquad, 304 "0x0.fffffffffffffffffffffffffffep-16382"); 305 EXPECT_EQ(test.next(true), APFloat::opOK); 306 EXPECT_TRUE(test.isDenormal()); 307 EXPECT_TRUE(!test.isNegative()); 308 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 309 310 // nextUp(+Smallest Normal) -> +Smallest Normal + inc. 311 test = APFloat(APFloat::IEEEquad, "0x1.0000000000000000000000000000p-16382"); 312 expected = APFloat(APFloat::IEEEquad, 313 "0x1.0000000000000000000000000001p-16382"); 314 EXPECT_EQ(test.next(false), APFloat::opOK); 315 EXPECT_TRUE(!test.isDenormal()); 316 EXPECT_TRUE(!test.isNegative()); 317 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 318 319 // nextDown(-Smallest Normal) -> -Smallest Normal - inc. 320 test = APFloat(APFloat::IEEEquad, "-0x1.0000000000000000000000000000p-16382"); 321 expected = APFloat(APFloat::IEEEquad, 322 "-0x1.0000000000000000000000000001p-16382"); 323 EXPECT_EQ(test.next(true), APFloat::opOK); 324 EXPECT_TRUE(!test.isDenormal()); 325 EXPECT_TRUE(test.isNegative()); 326 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 327 328 // 2d. Test values which cause our exponent to go to min exponent. This 329 // is to ensure that guards in the code to check for min exponent 330 // trigger properly. 331 // * nextUp(-0x1p-16381) -> -0x1.ffffffffffffffffffffffffffffp-16382 332 // * nextDown(-0x1.ffffffffffffffffffffffffffffp-16382) -> 333 // -0x1p-16381 334 // * nextUp(0x1.ffffffffffffffffffffffffffffp-16382) -> 0x1p-16382 335 // * nextDown(0x1p-16382) -> 0x1.ffffffffffffffffffffffffffffp-16382 336 337 // nextUp(-0x1p-16381) -> -0x1.ffffffffffffffffffffffffffffp-16382 338 test = APFloat(APFloat::IEEEquad, "-0x1p-16381"); 339 expected = APFloat(APFloat::IEEEquad, 340 "-0x1.ffffffffffffffffffffffffffffp-16382"); 341 EXPECT_EQ(test.next(false), APFloat::opOK); 342 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 343 344 // nextDown(-0x1.ffffffffffffffffffffffffffffp-16382) -> 345 // -0x1p-16381 346 test = APFloat(APFloat::IEEEquad, "-0x1.ffffffffffffffffffffffffffffp-16382"); 347 expected = APFloat(APFloat::IEEEquad, "-0x1p-16381"); 348 EXPECT_EQ(test.next(true), APFloat::opOK); 349 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 350 351 // nextUp(0x1.ffffffffffffffffffffffffffffp-16382) -> 0x1p-16381 352 test = APFloat(APFloat::IEEEquad, "0x1.ffffffffffffffffffffffffffffp-16382"); 353 expected = APFloat(APFloat::IEEEquad, "0x1p-16381"); 354 EXPECT_EQ(test.next(false), APFloat::opOK); 355 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 356 357 // nextDown(0x1p-16381) -> 0x1.ffffffffffffffffffffffffffffp-16382 358 test = APFloat(APFloat::IEEEquad, "0x1p-16381"); 359 expected = APFloat(APFloat::IEEEquad, 360 "0x1.ffffffffffffffffffffffffffffp-16382"); 361 EXPECT_EQ(test.next(true), APFloat::opOK); 362 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 363 364 // 3. Now we test both denormal/normal computation which will not cause us 365 // to go across binade boundaries. Specifically we test: 366 // * nextUp(+Denormal) -> +Denormal. 367 // * nextDown(+Denormal) -> +Denormal. 368 // * nextUp(-Denormal) -> -Denormal. 369 // * nextDown(-Denormal) -> -Denormal. 370 // * nextUp(+Normal) -> +Normal. 371 // * nextDown(+Normal) -> +Normal. 372 // * nextUp(-Normal) -> -Normal. 373 // * nextDown(-Normal) -> -Normal. 374 375 // nextUp(+Denormal) -> +Denormal. 376 test = APFloat(APFloat::IEEEquad, 377 "0x0.ffffffffffffffffffffffff000cp-16382"); 378 expected = APFloat(APFloat::IEEEquad, 379 "0x0.ffffffffffffffffffffffff000dp-16382"); 380 EXPECT_EQ(test.next(false), APFloat::opOK); 381 EXPECT_TRUE(test.isDenormal()); 382 EXPECT_TRUE(!test.isNegative()); 383 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 384 385 // nextDown(+Denormal) -> +Denormal. 386 test = APFloat(APFloat::IEEEquad, 387 "0x0.ffffffffffffffffffffffff000cp-16382"); 388 expected = APFloat(APFloat::IEEEquad, 389 "0x0.ffffffffffffffffffffffff000bp-16382"); 390 EXPECT_EQ(test.next(true), APFloat::opOK); 391 EXPECT_TRUE(test.isDenormal()); 392 EXPECT_TRUE(!test.isNegative()); 393 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 394 395 // nextUp(-Denormal) -> -Denormal. 396 test = APFloat(APFloat::IEEEquad, 397 "-0x0.ffffffffffffffffffffffff000cp-16382"); 398 expected = APFloat(APFloat::IEEEquad, 399 "-0x0.ffffffffffffffffffffffff000bp-16382"); 400 EXPECT_EQ(test.next(false), APFloat::opOK); 401 EXPECT_TRUE(test.isDenormal()); 402 EXPECT_TRUE(test.isNegative()); 403 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 404 405 // nextDown(-Denormal) -> -Denormal 406 test = APFloat(APFloat::IEEEquad, 407 "-0x0.ffffffffffffffffffffffff000cp-16382"); 408 expected = APFloat(APFloat::IEEEquad, 409 "-0x0.ffffffffffffffffffffffff000dp-16382"); 410 EXPECT_EQ(test.next(true), APFloat::opOK); 411 EXPECT_TRUE(test.isDenormal()); 412 EXPECT_TRUE(test.isNegative()); 413 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 414 415 // nextUp(+Normal) -> +Normal. 416 test = APFloat(APFloat::IEEEquad, 417 "0x1.ffffffffffffffffffffffff000cp-16000"); 418 expected = APFloat(APFloat::IEEEquad, 419 "0x1.ffffffffffffffffffffffff000dp-16000"); 420 EXPECT_EQ(test.next(false), APFloat::opOK); 421 EXPECT_TRUE(!test.isDenormal()); 422 EXPECT_TRUE(!test.isNegative()); 423 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 424 425 // nextDown(+Normal) -> +Normal. 426 test = APFloat(APFloat::IEEEquad, 427 "0x1.ffffffffffffffffffffffff000cp-16000"); 428 expected = APFloat(APFloat::IEEEquad, 429 "0x1.ffffffffffffffffffffffff000bp-16000"); 430 EXPECT_EQ(test.next(true), APFloat::opOK); 431 EXPECT_TRUE(!test.isDenormal()); 432 EXPECT_TRUE(!test.isNegative()); 433 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 434 435 // nextUp(-Normal) -> -Normal. 436 test = APFloat(APFloat::IEEEquad, 437 "-0x1.ffffffffffffffffffffffff000cp-16000"); 438 expected = APFloat(APFloat::IEEEquad, 439 "-0x1.ffffffffffffffffffffffff000bp-16000"); 440 EXPECT_EQ(test.next(false), APFloat::opOK); 441 EXPECT_TRUE(!test.isDenormal()); 442 EXPECT_TRUE(test.isNegative()); 443 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 444 445 // nextDown(-Normal) -> -Normal. 446 test = APFloat(APFloat::IEEEquad, 447 "-0x1.ffffffffffffffffffffffff000cp-16000"); 448 expected = APFloat(APFloat::IEEEquad, 449 "-0x1.ffffffffffffffffffffffff000dp-16000"); 450 EXPECT_EQ(test.next(true), APFloat::opOK); 451 EXPECT_TRUE(!test.isDenormal()); 452 EXPECT_TRUE(test.isNegative()); 453 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 454 } 455 456 TEST(APFloatTest, FMA) { 457 APFloat::roundingMode rdmd = APFloat::rmNearestTiesToEven; 458 459 { 460 APFloat f1(14.5f); 461 APFloat f2(-14.5f); 462 APFloat f3(225.0f); 463 f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven); 464 EXPECT_EQ(14.75f, f1.convertToFloat()); 465 } 466 467 { 468 APFloat Val2(2.0f); 469 APFloat f1((float)1.17549435e-38F); 470 APFloat f2((float)1.17549435e-38F); 471 f1.divide(Val2, rdmd); 472 f2.divide(Val2, rdmd); 473 APFloat f3(12.0f); 474 f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven); 475 EXPECT_EQ(12.0f, f1.convertToFloat()); 476 } 477 478 // Test for correct zero sign when answer is exactly zero. 479 // fma(1.0, -1.0, 1.0) -> +ve 0. 480 { 481 APFloat f1(1.0); 482 APFloat f2(-1.0); 483 APFloat f3(1.0); 484 f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven); 485 EXPECT_TRUE(!f1.isNegative() && f1.isZero()); 486 } 487 488 // Test for correct zero sign when answer is exactly zero and rounding towards 489 // negative. 490 // fma(1.0, -1.0, 1.0) -> +ve 0. 491 { 492 APFloat f1(1.0); 493 APFloat f2(-1.0); 494 APFloat f3(1.0); 495 f1.fusedMultiplyAdd(f2, f3, APFloat::rmTowardNegative); 496 EXPECT_TRUE(f1.isNegative() && f1.isZero()); 497 } 498 499 // Test for correct (in this case -ve) sign when adding like signed zeros. 500 // Test fma(0.0, -0.0, -0.0) -> -ve 0. 501 { 502 APFloat f1(0.0); 503 APFloat f2(-0.0); 504 APFloat f3(-0.0); 505 f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven); 506 EXPECT_TRUE(f1.isNegative() && f1.isZero()); 507 } 508 509 // Test -ve sign preservation when small negative results underflow. 510 { 511 APFloat f1(APFloat::IEEEdouble, "-0x1p-1074"); 512 APFloat f2(APFloat::IEEEdouble, "+0x1p-1074"); 513 APFloat f3(0.0); 514 f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven); 515 EXPECT_TRUE(f1.isNegative() && f1.isZero()); 516 } 517 518 // Test x87 extended precision case from http://llvm.org/PR20728. 519 { 520 APFloat M1(APFloat::x87DoubleExtended, 1.0); 521 APFloat M2(APFloat::x87DoubleExtended, 1.0); 522 APFloat A(APFloat::x87DoubleExtended, 3.0); 523 524 bool losesInfo = false; 525 M1.fusedMultiplyAdd(M1, A, APFloat::rmNearestTiesToEven); 526 M1.convert(APFloat::IEEEsingle, APFloat::rmNearestTiesToEven, &losesInfo); 527 EXPECT_FALSE(losesInfo); 528 EXPECT_EQ(4.0f, M1.convertToFloat()); 529 } 530 } 531 532 TEST(APFloatTest, MinNum) { 533 APFloat f1(1.0); 534 APFloat f2(2.0); 535 APFloat nan = APFloat::getNaN(APFloat::IEEEdouble); 536 537 EXPECT_EQ(1.0, minnum(f1, f2).convertToDouble()); 538 EXPECT_EQ(1.0, minnum(f2, f1).convertToDouble()); 539 EXPECT_EQ(1.0, minnum(f1, nan).convertToDouble()); 540 EXPECT_EQ(1.0, minnum(nan, f1).convertToDouble()); 541 } 542 543 TEST(APFloatTest, MaxNum) { 544 APFloat f1(1.0); 545 APFloat f2(2.0); 546 APFloat nan = APFloat::getNaN(APFloat::IEEEdouble); 547 548 EXPECT_EQ(2.0, maxnum(f1, f2).convertToDouble()); 549 EXPECT_EQ(2.0, maxnum(f2, f1).convertToDouble()); 550 EXPECT_EQ(1.0, maxnum(f1, nan).convertToDouble()); 551 EXPECT_EQ(1.0, minnum(nan, f1).convertToDouble()); 552 } 553 554 TEST(APFloatTest, Denormal) { 555 APFloat::roundingMode rdmd = APFloat::rmNearestTiesToEven; 556 557 // Test single precision 558 { 559 const char *MinNormalStr = "1.17549435082228750797e-38"; 560 EXPECT_FALSE(APFloat(APFloat::IEEEsingle, MinNormalStr).isDenormal()); 561 EXPECT_FALSE(APFloat(APFloat::IEEEsingle, 0.0).isDenormal()); 562 563 APFloat Val2(APFloat::IEEEsingle, 2.0e0); 564 APFloat T(APFloat::IEEEsingle, MinNormalStr); 565 T.divide(Val2, rdmd); 566 EXPECT_TRUE(T.isDenormal()); 567 } 568 569 // Test double precision 570 { 571 const char *MinNormalStr = "2.22507385850720138309e-308"; 572 EXPECT_FALSE(APFloat(APFloat::IEEEdouble, MinNormalStr).isDenormal()); 573 EXPECT_FALSE(APFloat(APFloat::IEEEdouble, 0.0).isDenormal()); 574 575 APFloat Val2(APFloat::IEEEdouble, 2.0e0); 576 APFloat T(APFloat::IEEEdouble, MinNormalStr); 577 T.divide(Val2, rdmd); 578 EXPECT_TRUE(T.isDenormal()); 579 } 580 581 // Test Intel double-ext 582 { 583 const char *MinNormalStr = "3.36210314311209350626e-4932"; 584 EXPECT_FALSE(APFloat(APFloat::x87DoubleExtended, MinNormalStr).isDenormal()); 585 EXPECT_FALSE(APFloat(APFloat::x87DoubleExtended, 0.0).isDenormal()); 586 587 APFloat Val2(APFloat::x87DoubleExtended, 2.0e0); 588 APFloat T(APFloat::x87DoubleExtended, MinNormalStr); 589 T.divide(Val2, rdmd); 590 EXPECT_TRUE(T.isDenormal()); 591 } 592 593 // Test quadruple precision 594 { 595 const char *MinNormalStr = "3.36210314311209350626267781732175260e-4932"; 596 EXPECT_FALSE(APFloat(APFloat::IEEEquad, MinNormalStr).isDenormal()); 597 EXPECT_FALSE(APFloat(APFloat::IEEEquad, 0.0).isDenormal()); 598 599 APFloat Val2(APFloat::IEEEquad, 2.0e0); 600 APFloat T(APFloat::IEEEquad, MinNormalStr); 601 T.divide(Val2, rdmd); 602 EXPECT_TRUE(T.isDenormal()); 603 } 604 } 605 606 TEST(APFloatTest, Zero) { 607 EXPECT_EQ(0.0f, APFloat(0.0f).convertToFloat()); 608 EXPECT_EQ(-0.0f, APFloat(-0.0f).convertToFloat()); 609 EXPECT_TRUE(APFloat(-0.0f).isNegative()); 610 611 EXPECT_EQ(0.0, APFloat(0.0).convertToDouble()); 612 EXPECT_EQ(-0.0, APFloat(-0.0).convertToDouble()); 613 EXPECT_TRUE(APFloat(-0.0).isNegative()); 614 } 615 616 TEST(APFloatTest, DecimalStringsWithoutNullTerminators) { 617 // Make sure that we can parse strings without null terminators. 618 // rdar://14323230. 619 APFloat Val(APFloat::IEEEdouble); 620 Val.convertFromString(StringRef("0.00", 3), 621 llvm::APFloat::rmNearestTiesToEven); 622 EXPECT_EQ(Val.convertToDouble(), 0.0); 623 Val.convertFromString(StringRef("0.01", 3), 624 llvm::APFloat::rmNearestTiesToEven); 625 EXPECT_EQ(Val.convertToDouble(), 0.0); 626 Val.convertFromString(StringRef("0.09", 3), 627 llvm::APFloat::rmNearestTiesToEven); 628 EXPECT_EQ(Val.convertToDouble(), 0.0); 629 Val.convertFromString(StringRef("0.095", 4), 630 llvm::APFloat::rmNearestTiesToEven); 631 EXPECT_EQ(Val.convertToDouble(), 0.09); 632 Val.convertFromString(StringRef("0.00e+3", 7), 633 llvm::APFloat::rmNearestTiesToEven); 634 EXPECT_EQ(Val.convertToDouble(), 0.00); 635 Val.convertFromString(StringRef("0e+3", 4), 636 llvm::APFloat::rmNearestTiesToEven); 637 EXPECT_EQ(Val.convertToDouble(), 0.00); 638 639 } 640 641 TEST(APFloatTest, fromZeroDecimalString) { 642 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0").convertToDouble()); 643 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0").convertToDouble()); 644 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0").convertToDouble()); 645 646 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.").convertToDouble()); 647 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.").convertToDouble()); 648 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.").convertToDouble()); 649 650 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0").convertToDouble()); 651 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0").convertToDouble()); 652 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0").convertToDouble()); 653 654 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0").convertToDouble()); 655 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0").convertToDouble()); 656 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0").convertToDouble()); 657 658 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "00000.").convertToDouble()); 659 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+00000.").convertToDouble()); 660 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-00000.").convertToDouble()); 661 662 EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, ".00000").convertToDouble()); 663 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.00000").convertToDouble()); 664 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.00000").convertToDouble()); 665 666 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0000.00000").convertToDouble()); 667 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0000.00000").convertToDouble()); 668 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0000.00000").convertToDouble()); 669 } 670 671 TEST(APFloatTest, fromZeroDecimalSingleExponentString) { 672 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e1").convertToDouble()); 673 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e1").convertToDouble()); 674 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e1").convertToDouble()); 675 676 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e+1").convertToDouble()); 677 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e+1").convertToDouble()); 678 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e+1").convertToDouble()); 679 680 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e-1").convertToDouble()); 681 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e-1").convertToDouble()); 682 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e-1").convertToDouble()); 683 684 685 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.e1").convertToDouble()); 686 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e1").convertToDouble()); 687 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e1").convertToDouble()); 688 689 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.e+1").convertToDouble()); 690 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e+1").convertToDouble()); 691 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e+1").convertToDouble()); 692 693 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.e-1").convertToDouble()); 694 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e-1").convertToDouble()); 695 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e-1").convertToDouble()); 696 697 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0e1").convertToDouble()); 698 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e1").convertToDouble()); 699 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e1").convertToDouble()); 700 701 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0e+1").convertToDouble()); 702 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e+1").convertToDouble()); 703 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e+1").convertToDouble()); 704 705 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0e-1").convertToDouble()); 706 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e-1").convertToDouble()); 707 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e-1").convertToDouble()); 708 709 710 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0e1").convertToDouble()); 711 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e1").convertToDouble()); 712 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e1").convertToDouble()); 713 714 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0e+1").convertToDouble()); 715 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e+1").convertToDouble()); 716 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e+1").convertToDouble()); 717 718 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0e-1").convertToDouble()); 719 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e-1").convertToDouble()); 720 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e-1").convertToDouble()); 721 722 723 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "000.0000e1").convertToDouble()); 724 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+000.0000e+1").convertToDouble()); 725 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-000.0000e+1").convertToDouble()); 726 } 727 728 TEST(APFloatTest, fromZeroDecimalLargeExponentString) { 729 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e1234").convertToDouble()); 730 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e1234").convertToDouble()); 731 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e1234").convertToDouble()); 732 733 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e+1234").convertToDouble()); 734 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e+1234").convertToDouble()); 735 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e+1234").convertToDouble()); 736 737 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e-1234").convertToDouble()); 738 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e-1234").convertToDouble()); 739 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e-1234").convertToDouble()); 740 741 EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, "000.0000e1234").convertToDouble()); 742 EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, "000.0000e-1234").convertToDouble()); 743 744 EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, StringRef("0e1234\02", 6)).convertToDouble()); 745 } 746 747 TEST(APFloatTest, fromZeroHexadecimalString) { 748 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p1").convertToDouble()); 749 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p1").convertToDouble()); 750 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p1").convertToDouble()); 751 752 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p+1").convertToDouble()); 753 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p+1").convertToDouble()); 754 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p+1").convertToDouble()); 755 756 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p-1").convertToDouble()); 757 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p-1").convertToDouble()); 758 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p-1").convertToDouble()); 759 760 761 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1").convertToDouble()); 762 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p1").convertToDouble()); 763 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p1").convertToDouble()); 764 765 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p+1").convertToDouble()); 766 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p+1").convertToDouble()); 767 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p+1").convertToDouble()); 768 769 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p-1").convertToDouble()); 770 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p-1").convertToDouble()); 771 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p-1").convertToDouble()); 772 773 774 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.0p1").convertToDouble()); 775 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p1").convertToDouble()); 776 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p1").convertToDouble()); 777 778 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.0p+1").convertToDouble()); 779 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p+1").convertToDouble()); 780 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p+1").convertToDouble()); 781 782 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.0p-1").convertToDouble()); 783 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p-1").convertToDouble()); 784 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p-1").convertToDouble()); 785 786 787 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.0p1").convertToDouble()); 788 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p1").convertToDouble()); 789 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p1").convertToDouble()); 790 791 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.0p+1").convertToDouble()); 792 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p+1").convertToDouble()); 793 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p+1").convertToDouble()); 794 795 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.0p-1").convertToDouble()); 796 EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p-1").convertToDouble()); 797 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p-1").convertToDouble()); 798 799 800 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x00000.p1").convertToDouble()); 801 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0000.00000p1").convertToDouble()); 802 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.00000p1").convertToDouble()); 803 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1").convertToDouble()); 804 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p1234").convertToDouble()); 805 EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p1234").convertToDouble()); 806 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x00000.p1234").convertToDouble()); 807 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0000.00000p1234").convertToDouble()); 808 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.00000p1234").convertToDouble()); 809 EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1234").convertToDouble()); 810 } 811 812 TEST(APFloatTest, fromDecimalString) { 813 EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "1").convertToDouble()); 814 EXPECT_EQ(2.0, APFloat(APFloat::IEEEdouble, "2.").convertToDouble()); 815 EXPECT_EQ(0.5, APFloat(APFloat::IEEEdouble, ".5").convertToDouble()); 816 EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "1.0").convertToDouble()); 817 EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-2").convertToDouble()); 818 EXPECT_EQ(-4.0, APFloat(APFloat::IEEEdouble, "-4.").convertToDouble()); 819 EXPECT_EQ(-0.5, APFloat(APFloat::IEEEdouble, "-.5").convertToDouble()); 820 EXPECT_EQ(-1.5, APFloat(APFloat::IEEEdouble, "-1.5").convertToDouble()); 821 EXPECT_EQ(1.25e12, APFloat(APFloat::IEEEdouble, "1.25e12").convertToDouble()); 822 EXPECT_EQ(1.25e+12, APFloat(APFloat::IEEEdouble, "1.25e+12").convertToDouble()); 823 EXPECT_EQ(1.25e-12, APFloat(APFloat::IEEEdouble, "1.25e-12").convertToDouble()); 824 EXPECT_EQ(1024.0, APFloat(APFloat::IEEEdouble, "1024.").convertToDouble()); 825 EXPECT_EQ(1024.05, APFloat(APFloat::IEEEdouble, "1024.05000").convertToDouble()); 826 EXPECT_EQ(0.05, APFloat(APFloat::IEEEdouble, ".05000").convertToDouble()); 827 EXPECT_EQ(2.0, APFloat(APFloat::IEEEdouble, "2.").convertToDouble()); 828 EXPECT_EQ(2.0e2, APFloat(APFloat::IEEEdouble, "2.e2").convertToDouble()); 829 EXPECT_EQ(2.0e+2, APFloat(APFloat::IEEEdouble, "2.e+2").convertToDouble()); 830 EXPECT_EQ(2.0e-2, APFloat(APFloat::IEEEdouble, "2.e-2").convertToDouble()); 831 EXPECT_EQ(2.05e2, APFloat(APFloat::IEEEdouble, "002.05000e2").convertToDouble()); 832 EXPECT_EQ(2.05e+2, APFloat(APFloat::IEEEdouble, "002.05000e+2").convertToDouble()); 833 EXPECT_EQ(2.05e-2, APFloat(APFloat::IEEEdouble, "002.05000e-2").convertToDouble()); 834 EXPECT_EQ(2.05e12, APFloat(APFloat::IEEEdouble, "002.05000e12").convertToDouble()); 835 EXPECT_EQ(2.05e+12, APFloat(APFloat::IEEEdouble, "002.05000e+12").convertToDouble()); 836 EXPECT_EQ(2.05e-12, APFloat(APFloat::IEEEdouble, "002.05000e-12").convertToDouble()); 837 838 // These are "carefully selected" to overflow the fast log-base 839 // calculations in APFloat.cpp 840 EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "99e99999").isInfinity()); 841 EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "-99e99999").isInfinity()); 842 EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "1e-99999").isPosZero()); 843 EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "-1e-99999").isNegZero()); 844 845 EXPECT_EQ(2.71828, convertToDoubleFromString("2.71828")); 846 } 847 848 TEST(APFloatTest, fromHexadecimalString) { 849 EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble, "0x1p0").convertToDouble()); 850 EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p0").convertToDouble()); 851 EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p0").convertToDouble()); 852 853 EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble, "0x1p+0").convertToDouble()); 854 EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p+0").convertToDouble()); 855 EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p+0").convertToDouble()); 856 857 EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble, "0x1p-0").convertToDouble()); 858 EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p-0").convertToDouble()); 859 EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p-0").convertToDouble()); 860 861 862 EXPECT_EQ( 2.0, APFloat(APFloat::IEEEdouble, "0x1p1").convertToDouble()); 863 EXPECT_EQ(+2.0, APFloat(APFloat::IEEEdouble, "+0x1p1").convertToDouble()); 864 EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-0x1p1").convertToDouble()); 865 866 EXPECT_EQ( 2.0, APFloat(APFloat::IEEEdouble, "0x1p+1").convertToDouble()); 867 EXPECT_EQ(+2.0, APFloat(APFloat::IEEEdouble, "+0x1p+1").convertToDouble()); 868 EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-0x1p+1").convertToDouble()); 869 870 EXPECT_EQ( 0.5, APFloat(APFloat::IEEEdouble, "0x1p-1").convertToDouble()); 871 EXPECT_EQ(+0.5, APFloat(APFloat::IEEEdouble, "+0x1p-1").convertToDouble()); 872 EXPECT_EQ(-0.5, APFloat(APFloat::IEEEdouble, "-0x1p-1").convertToDouble()); 873 874 875 EXPECT_EQ( 3.0, APFloat(APFloat::IEEEdouble, "0x1.8p1").convertToDouble()); 876 EXPECT_EQ(+3.0, APFloat(APFloat::IEEEdouble, "+0x1.8p1").convertToDouble()); 877 EXPECT_EQ(-3.0, APFloat(APFloat::IEEEdouble, "-0x1.8p1").convertToDouble()); 878 879 EXPECT_EQ( 3.0, APFloat(APFloat::IEEEdouble, "0x1.8p+1").convertToDouble()); 880 EXPECT_EQ(+3.0, APFloat(APFloat::IEEEdouble, "+0x1.8p+1").convertToDouble()); 881 EXPECT_EQ(-3.0, APFloat(APFloat::IEEEdouble, "-0x1.8p+1").convertToDouble()); 882 883 EXPECT_EQ( 0.75, APFloat(APFloat::IEEEdouble, "0x1.8p-1").convertToDouble()); 884 EXPECT_EQ(+0.75, APFloat(APFloat::IEEEdouble, "+0x1.8p-1").convertToDouble()); 885 EXPECT_EQ(-0.75, APFloat(APFloat::IEEEdouble, "-0x1.8p-1").convertToDouble()); 886 887 888 EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000.000p1").convertToDouble()); 889 EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p1").convertToDouble()); 890 EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p1").convertToDouble()); 891 892 EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000.000p+1").convertToDouble()); 893 EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p+1").convertToDouble()); 894 EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p+1").convertToDouble()); 895 896 EXPECT_EQ( 2048.0, APFloat(APFloat::IEEEdouble, "0x1000.000p-1").convertToDouble()); 897 EXPECT_EQ(+2048.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p-1").convertToDouble()); 898 EXPECT_EQ(-2048.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p-1").convertToDouble()); 899 900 901 EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000p1").convertToDouble()); 902 EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000p1").convertToDouble()); 903 EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000p1").convertToDouble()); 904 905 EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000p+1").convertToDouble()); 906 EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000p+1").convertToDouble()); 907 EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000p+1").convertToDouble()); 908 909 EXPECT_EQ( 2048.0, APFloat(APFloat::IEEEdouble, "0x1000p-1").convertToDouble()); 910 EXPECT_EQ(+2048.0, APFloat(APFloat::IEEEdouble, "+0x1000p-1").convertToDouble()); 911 EXPECT_EQ(-2048.0, APFloat(APFloat::IEEEdouble, "-0x1000p-1").convertToDouble()); 912 913 914 EXPECT_EQ( 16384.0, APFloat(APFloat::IEEEdouble, "0x10p10").convertToDouble()); 915 EXPECT_EQ(+16384.0, APFloat(APFloat::IEEEdouble, "+0x10p10").convertToDouble()); 916 EXPECT_EQ(-16384.0, APFloat(APFloat::IEEEdouble, "-0x10p10").convertToDouble()); 917 918 EXPECT_EQ( 16384.0, APFloat(APFloat::IEEEdouble, "0x10p+10").convertToDouble()); 919 EXPECT_EQ(+16384.0, APFloat(APFloat::IEEEdouble, "+0x10p+10").convertToDouble()); 920 EXPECT_EQ(-16384.0, APFloat(APFloat::IEEEdouble, "-0x10p+10").convertToDouble()); 921 922 EXPECT_EQ( 0.015625, APFloat(APFloat::IEEEdouble, "0x10p-10").convertToDouble()); 923 EXPECT_EQ(+0.015625, APFloat(APFloat::IEEEdouble, "+0x10p-10").convertToDouble()); 924 EXPECT_EQ(-0.015625, APFloat(APFloat::IEEEdouble, "-0x10p-10").convertToDouble()); 925 926 EXPECT_EQ(1.0625, APFloat(APFloat::IEEEdouble, "0x1.1p0").convertToDouble()); 927 EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "0x1p0").convertToDouble()); 928 929 EXPECT_EQ(convertToDoubleFromString("0x1p-150"), 930 convertToDoubleFromString("+0x800000000000000001.p-221")); 931 EXPECT_EQ(2251799813685248.5, 932 convertToDoubleFromString("0x80000000000004000000.010p-28")); 933 } 934 935 TEST(APFloatTest, toString) { 936 ASSERT_EQ("10", convertToString(10.0, 6, 3)); 937 ASSERT_EQ("1.0E+1", convertToString(10.0, 6, 0)); 938 ASSERT_EQ("10100", convertToString(1.01E+4, 5, 2)); 939 ASSERT_EQ("1.01E+4", convertToString(1.01E+4, 4, 2)); 940 ASSERT_EQ("1.01E+4", convertToString(1.01E+4, 5, 1)); 941 ASSERT_EQ("0.0101", convertToString(1.01E-2, 5, 2)); 942 ASSERT_EQ("0.0101", convertToString(1.01E-2, 4, 2)); 943 ASSERT_EQ("1.01E-2", convertToString(1.01E-2, 5, 1)); 944 ASSERT_EQ("0.78539816339744828", convertToString(0.78539816339744830961, 0, 3)); 945 ASSERT_EQ("4.9406564584124654E-324", convertToString(4.9406564584124654e-324, 0, 3)); 946 ASSERT_EQ("873.18340000000001", convertToString(873.1834, 0, 1)); 947 ASSERT_EQ("8.7318340000000001E+2", convertToString(873.1834, 0, 0)); 948 ASSERT_EQ("1.7976931348623157E+308", convertToString(1.7976931348623157E+308, 0, 0)); 949 } 950 951 TEST(APFloatTest, toInteger) { 952 bool isExact = false; 953 APSInt result(5, /*isUnsigned=*/true); 954 955 EXPECT_EQ(APFloat::opOK, 956 APFloat(APFloat::IEEEdouble, "10") 957 .convertToInteger(result, APFloat::rmTowardZero, &isExact)); 958 EXPECT_TRUE(isExact); 959 EXPECT_EQ(APSInt(APInt(5, 10), true), result); 960 961 EXPECT_EQ(APFloat::opInvalidOp, 962 APFloat(APFloat::IEEEdouble, "-10") 963 .convertToInteger(result, APFloat::rmTowardZero, &isExact)); 964 EXPECT_FALSE(isExact); 965 EXPECT_EQ(APSInt::getMinValue(5, true), result); 966 967 EXPECT_EQ(APFloat::opInvalidOp, 968 APFloat(APFloat::IEEEdouble, "32") 969 .convertToInteger(result, APFloat::rmTowardZero, &isExact)); 970 EXPECT_FALSE(isExact); 971 EXPECT_EQ(APSInt::getMaxValue(5, true), result); 972 973 EXPECT_EQ(APFloat::opInexact, 974 APFloat(APFloat::IEEEdouble, "7.9") 975 .convertToInteger(result, APFloat::rmTowardZero, &isExact)); 976 EXPECT_FALSE(isExact); 977 EXPECT_EQ(APSInt(APInt(5, 7), true), result); 978 979 result.setIsUnsigned(false); 980 EXPECT_EQ(APFloat::opOK, 981 APFloat(APFloat::IEEEdouble, "-10") 982 .convertToInteger(result, APFloat::rmTowardZero, &isExact)); 983 EXPECT_TRUE(isExact); 984 EXPECT_EQ(APSInt(APInt(5, -10, true), false), result); 985 986 EXPECT_EQ(APFloat::opInvalidOp, 987 APFloat(APFloat::IEEEdouble, "-17") 988 .convertToInteger(result, APFloat::rmTowardZero, &isExact)); 989 EXPECT_FALSE(isExact); 990 EXPECT_EQ(APSInt::getMinValue(5, false), result); 991 992 EXPECT_EQ(APFloat::opInvalidOp, 993 APFloat(APFloat::IEEEdouble, "16") 994 .convertToInteger(result, APFloat::rmTowardZero, &isExact)); 995 EXPECT_FALSE(isExact); 996 EXPECT_EQ(APSInt::getMaxValue(5, false), result); 997 } 998 999 static APInt nanbits(const fltSemantics &Sem, 1000 bool SNaN, bool Negative, uint64_t fill) { 1001 APInt apfill(64, fill); 1002 if (SNaN) 1003 return APFloat::getSNaN(Sem, Negative, &apfill).bitcastToAPInt(); 1004 else 1005 return APFloat::getQNaN(Sem, Negative, &apfill).bitcastToAPInt(); 1006 } 1007 1008 TEST(APFloatTest, makeNaN) { 1009 ASSERT_EQ(0x7fc00000, nanbits(APFloat::IEEEsingle, false, false, 0)); 1010 ASSERT_EQ(0xffc00000, nanbits(APFloat::IEEEsingle, false, true, 0)); 1011 ASSERT_EQ(0x7fc0ae72, nanbits(APFloat::IEEEsingle, false, false, 0xae72)); 1012 ASSERT_EQ(0x7fffae72, nanbits(APFloat::IEEEsingle, false, false, 0xffffae72)); 1013 ASSERT_EQ(0x7fa00000, nanbits(APFloat::IEEEsingle, true, false, 0)); 1014 ASSERT_EQ(0xffa00000, nanbits(APFloat::IEEEsingle, true, true, 0)); 1015 ASSERT_EQ(0x7f80ae72, nanbits(APFloat::IEEEsingle, true, false, 0xae72)); 1016 ASSERT_EQ(0x7fbfae72, nanbits(APFloat::IEEEsingle, true, false, 0xffffae72)); 1017 1018 ASSERT_EQ(0x7ff8000000000000ULL, nanbits(APFloat::IEEEdouble, false, false, 0)); 1019 ASSERT_EQ(0xfff8000000000000ULL, nanbits(APFloat::IEEEdouble, false, true, 0)); 1020 ASSERT_EQ(0x7ff800000000ae72ULL, nanbits(APFloat::IEEEdouble, false, false, 0xae72)); 1021 ASSERT_EQ(0x7fffffffffffae72ULL, nanbits(APFloat::IEEEdouble, false, false, 0xffffffffffffae72ULL)); 1022 ASSERT_EQ(0x7ff4000000000000ULL, nanbits(APFloat::IEEEdouble, true, false, 0)); 1023 ASSERT_EQ(0xfff4000000000000ULL, nanbits(APFloat::IEEEdouble, true, true, 0)); 1024 ASSERT_EQ(0x7ff000000000ae72ULL, nanbits(APFloat::IEEEdouble, true, false, 0xae72)); 1025 ASSERT_EQ(0x7ff7ffffffffae72ULL, nanbits(APFloat::IEEEdouble, true, false, 0xffffffffffffae72ULL)); 1026 } 1027 1028 #ifdef GTEST_HAS_DEATH_TEST 1029 #ifndef NDEBUG 1030 TEST(APFloatTest, SemanticsDeath) { 1031 EXPECT_DEATH(APFloat(APFloat::IEEEsingle, 0.0f).convertToDouble(), "Float semantics are not IEEEdouble"); 1032 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, 0.0 ).convertToFloat(), "Float semantics are not IEEEsingle"); 1033 } 1034 1035 TEST(APFloatTest, StringDecimalDeath) { 1036 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ""), "Invalid string length"); 1037 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+"), "String has no digits"); 1038 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-"), "String has no digits"); 1039 1040 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("\0", 1)), "Invalid character in significand"); 1041 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\0", 2)), "Invalid character in significand"); 1042 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\02", 3)), "Invalid character in significand"); 1043 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\02e1", 5)), "Invalid character in significand"); 1044 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e\0", 3)), "Invalid character in exponent"); 1045 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e1\0", 4)), "Invalid character in exponent"); 1046 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e1\02", 5)), "Invalid character in exponent"); 1047 1048 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0f"), "Invalid character in significand"); 1049 1050 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".."), "String contains multiple dots"); 1051 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "..0"), "String contains multiple dots"); 1052 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0.0"), "String contains multiple dots"); 1053 } 1054 1055 TEST(APFloatTest, StringDecimalSignificandDeath) { 1056 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "."), "Significand has no digits"); 1057 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+."), "Significand has no digits"); 1058 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-."), "Significand has no digits"); 1059 1060 1061 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "e"), "Significand has no digits"); 1062 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+e"), "Significand has no digits"); 1063 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-e"), "Significand has no digits"); 1064 1065 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "e1"), "Significand has no digits"); 1066 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+e1"), "Significand has no digits"); 1067 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-e1"), "Significand has no digits"); 1068 1069 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".e1"), "Significand has no digits"); 1070 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.e1"), "Significand has no digits"); 1071 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.e1"), "Significand has no digits"); 1072 1073 1074 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".e"), "Significand has no digits"); 1075 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.e"), "Significand has no digits"); 1076 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.e"), "Significand has no digits"); 1077 } 1078 1079 TEST(APFloatTest, StringDecimalExponentDeath) { 1080 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e"), "Exponent has no digits"); 1081 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+1e"), "Exponent has no digits"); 1082 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-1e"), "Exponent has no digits"); 1083 1084 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.e"), "Exponent has no digits"); 1085 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+1.e"), "Exponent has no digits"); 1086 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-1.e"), "Exponent has no digits"); 1087 1088 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e"), "Exponent has no digits"); 1089 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.1e"), "Exponent has no digits"); 1090 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.1e"), "Exponent has no digits"); 1091 1092 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.1e"), "Exponent has no digits"); 1093 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+1.1e"), "Exponent has no digits"); 1094 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-1.1e"), "Exponent has no digits"); 1095 1096 1097 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e+"), "Exponent has no digits"); 1098 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e-"), "Exponent has no digits"); 1099 1100 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e"), "Exponent has no digits"); 1101 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e+"), "Exponent has no digits"); 1102 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e-"), "Exponent has no digits"); 1103 1104 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e"), "Exponent has no digits"); 1105 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e+"), "Exponent has no digits"); 1106 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e-"), "Exponent has no digits"); 1107 } 1108 1109 TEST(APFloatTest, StringHexadecimalDeath) { 1110 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x"), "Invalid string"); 1111 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x"), "Invalid string"); 1112 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x"), "Invalid string"); 1113 1114 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x0"), "Hex strings require an exponent"); 1115 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0"), "Hex strings require an exponent"); 1116 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0"), "Hex strings require an exponent"); 1117 1118 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x0."), "Hex strings require an exponent"); 1119 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0."), "Hex strings require an exponent"); 1120 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0."), "Hex strings require an exponent"); 1121 1122 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.0"), "Hex strings require an exponent"); 1123 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.0"), "Hex strings require an exponent"); 1124 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.0"), "Hex strings require an exponent"); 1125 1126 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x0.0"), "Hex strings require an exponent"); 1127 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0.0"), "Hex strings require an exponent"); 1128 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0.0"), "Hex strings require an exponent"); 1129 1130 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x\0", 3)), "Invalid character in significand"); 1131 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\0", 4)), "Invalid character in significand"); 1132 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\02", 5)), "Invalid character in significand"); 1133 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\02p1", 7)), "Invalid character in significand"); 1134 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p\0", 5)), "Invalid character in exponent"); 1135 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p1\0", 6)), "Invalid character in exponent"); 1136 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p1\02", 7)), "Invalid character in exponent"); 1137 1138 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p0f"), "Invalid character in exponent"); 1139 1140 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x..p1"), "String contains multiple dots"); 1141 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x..0p1"), "String contains multiple dots"); 1142 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.0.0p1"), "String contains multiple dots"); 1143 } 1144 1145 TEST(APFloatTest, StringHexadecimalSignificandDeath) { 1146 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x."), "Significand has no digits"); 1147 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x."), "Significand has no digits"); 1148 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x."), "Significand has no digits"); 1149 1150 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0xp"), "Significand has no digits"); 1151 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp"), "Significand has no digits"); 1152 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp"), "Significand has no digits"); 1153 1154 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0xp+"), "Significand has no digits"); 1155 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp+"), "Significand has no digits"); 1156 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp+"), "Significand has no digits"); 1157 1158 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0xp-"), "Significand has no digits"); 1159 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp-"), "Significand has no digits"); 1160 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp-"), "Significand has no digits"); 1161 1162 1163 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.p"), "Significand has no digits"); 1164 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p"), "Significand has no digits"); 1165 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p"), "Significand has no digits"); 1166 1167 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.p+"), "Significand has no digits"); 1168 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p+"), "Significand has no digits"); 1169 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p+"), "Significand has no digits"); 1170 1171 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.p-"), "Significand has no digits"); 1172 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p-"), "Significand has no digits"); 1173 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p-"), "Significand has no digits"); 1174 } 1175 1176 TEST(APFloatTest, StringHexadecimalExponentDeath) { 1177 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p"), "Exponent has no digits"); 1178 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p"), "Exponent has no digits"); 1179 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p"), "Exponent has no digits"); 1180 1181 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p+"), "Exponent has no digits"); 1182 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p+"), "Exponent has no digits"); 1183 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p+"), "Exponent has no digits"); 1184 1185 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p-"), "Exponent has no digits"); 1186 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p-"), "Exponent has no digits"); 1187 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p-"), "Exponent has no digits"); 1188 1189 1190 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.p"), "Exponent has no digits"); 1191 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p"), "Exponent has no digits"); 1192 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p"), "Exponent has no digits"); 1193 1194 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.p+"), "Exponent has no digits"); 1195 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p+"), "Exponent has no digits"); 1196 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p+"), "Exponent has no digits"); 1197 1198 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.p-"), "Exponent has no digits"); 1199 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p-"), "Exponent has no digits"); 1200 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p-"), "Exponent has no digits"); 1201 1202 1203 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.1p"), "Exponent has no digits"); 1204 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p"), "Exponent has no digits"); 1205 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p"), "Exponent has no digits"); 1206 1207 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.1p+"), "Exponent has no digits"); 1208 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p+"), "Exponent has no digits"); 1209 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p+"), "Exponent has no digits"); 1210 1211 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.1p-"), "Exponent has no digits"); 1212 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p-"), "Exponent has no digits"); 1213 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p-"), "Exponent has no digits"); 1214 1215 1216 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.1p"), "Exponent has no digits"); 1217 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p"), "Exponent has no digits"); 1218 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p"), "Exponent has no digits"); 1219 1220 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.1p+"), "Exponent has no digits"); 1221 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p+"), "Exponent has no digits"); 1222 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p+"), "Exponent has no digits"); 1223 1224 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.1p-"), "Exponent has no digits"); 1225 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p-"), "Exponent has no digits"); 1226 EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p-"), "Exponent has no digits"); 1227 } 1228 #endif 1229 #endif 1230 1231 TEST(APFloatTest, exactInverse) { 1232 APFloat inv(0.0f); 1233 1234 // Trivial operation. 1235 EXPECT_TRUE(APFloat(2.0).getExactInverse(&inv)); 1236 EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(0.5))); 1237 EXPECT_TRUE(APFloat(2.0f).getExactInverse(&inv)); 1238 EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(0.5f))); 1239 EXPECT_TRUE(APFloat(APFloat::IEEEquad, "2.0").getExactInverse(&inv)); 1240 EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::IEEEquad, "0.5"))); 1241 EXPECT_TRUE(APFloat(APFloat::PPCDoubleDouble, "2.0").getExactInverse(&inv)); 1242 EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::PPCDoubleDouble, "0.5"))); 1243 EXPECT_TRUE(APFloat(APFloat::x87DoubleExtended, "2.0").getExactInverse(&inv)); 1244 EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::x87DoubleExtended, "0.5"))); 1245 1246 // FLT_MIN 1247 EXPECT_TRUE(APFloat(1.17549435e-38f).getExactInverse(&inv)); 1248 EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(8.5070592e+37f))); 1249 1250 // Large float, inverse is a denormal. 1251 EXPECT_FALSE(APFloat(1.7014118e38f).getExactInverse(nullptr)); 1252 // Zero 1253 EXPECT_FALSE(APFloat(0.0).getExactInverse(nullptr)); 1254 // Denormalized float 1255 EXPECT_FALSE(APFloat(1.40129846e-45f).getExactInverse(nullptr)); 1256 } 1257 1258 TEST(APFloatTest, roundToIntegral) { 1259 APFloat T(-0.5), S(3.14), R(APFloat::getLargest(APFloat::IEEEdouble)), P(0.0); 1260 1261 P = T; 1262 P.roundToIntegral(APFloat::rmTowardZero); 1263 EXPECT_EQ(-0.0, P.convertToDouble()); 1264 P = T; 1265 P.roundToIntegral(APFloat::rmTowardNegative); 1266 EXPECT_EQ(-1.0, P.convertToDouble()); 1267 P = T; 1268 P.roundToIntegral(APFloat::rmTowardPositive); 1269 EXPECT_EQ(-0.0, P.convertToDouble()); 1270 P = T; 1271 P.roundToIntegral(APFloat::rmNearestTiesToEven); 1272 EXPECT_EQ(-0.0, P.convertToDouble()); 1273 1274 P = S; 1275 P.roundToIntegral(APFloat::rmTowardZero); 1276 EXPECT_EQ(3.0, P.convertToDouble()); 1277 P = S; 1278 P.roundToIntegral(APFloat::rmTowardNegative); 1279 EXPECT_EQ(3.0, P.convertToDouble()); 1280 P = S; 1281 P.roundToIntegral(APFloat::rmTowardPositive); 1282 EXPECT_EQ(4.0, P.convertToDouble()); 1283 P = S; 1284 P.roundToIntegral(APFloat::rmNearestTiesToEven); 1285 EXPECT_EQ(3.0, P.convertToDouble()); 1286 1287 P = R; 1288 P.roundToIntegral(APFloat::rmTowardZero); 1289 EXPECT_EQ(R.convertToDouble(), P.convertToDouble()); 1290 P = R; 1291 P.roundToIntegral(APFloat::rmTowardNegative); 1292 EXPECT_EQ(R.convertToDouble(), P.convertToDouble()); 1293 P = R; 1294 P.roundToIntegral(APFloat::rmTowardPositive); 1295 EXPECT_EQ(R.convertToDouble(), P.convertToDouble()); 1296 P = R; 1297 P.roundToIntegral(APFloat::rmNearestTiesToEven); 1298 EXPECT_EQ(R.convertToDouble(), P.convertToDouble()); 1299 1300 P = APFloat::getZero(APFloat::IEEEdouble); 1301 P.roundToIntegral(APFloat::rmTowardZero); 1302 EXPECT_EQ(0.0, P.convertToDouble()); 1303 P = APFloat::getZero(APFloat::IEEEdouble, true); 1304 P.roundToIntegral(APFloat::rmTowardZero); 1305 EXPECT_EQ(-0.0, P.convertToDouble()); 1306 P = APFloat::getNaN(APFloat::IEEEdouble); 1307 P.roundToIntegral(APFloat::rmTowardZero); 1308 EXPECT_TRUE(IsNAN(P.convertToDouble())); 1309 P = APFloat::getInf(APFloat::IEEEdouble); 1310 P.roundToIntegral(APFloat::rmTowardZero); 1311 EXPECT_TRUE(IsInf(P.convertToDouble()) && P.convertToDouble() > 0.0); 1312 P = APFloat::getInf(APFloat::IEEEdouble, true); 1313 P.roundToIntegral(APFloat::rmTowardZero); 1314 EXPECT_TRUE(IsInf(P.convertToDouble()) && P.convertToDouble() < 0.0); 1315 1316 } 1317 1318 TEST(APFloatTest, getLargest) { 1319 EXPECT_EQ(3.402823466e+38f, APFloat::getLargest(APFloat::IEEEsingle).convertToFloat()); 1320 EXPECT_EQ(1.7976931348623158e+308, APFloat::getLargest(APFloat::IEEEdouble).convertToDouble()); 1321 } 1322 1323 TEST(APFloatTest, getSmallest) { 1324 APFloat test = APFloat::getSmallest(APFloat::IEEEsingle, false); 1325 APFloat expected = APFloat(APFloat::IEEEsingle, "0x0.000002p-126"); 1326 EXPECT_FALSE(test.isNegative()); 1327 EXPECT_TRUE(test.isFiniteNonZero()); 1328 EXPECT_TRUE(test.isDenormal()); 1329 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 1330 1331 test = APFloat::getSmallest(APFloat::IEEEsingle, true); 1332 expected = APFloat(APFloat::IEEEsingle, "-0x0.000002p-126"); 1333 EXPECT_TRUE(test.isNegative()); 1334 EXPECT_TRUE(test.isFiniteNonZero()); 1335 EXPECT_TRUE(test.isDenormal()); 1336 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 1337 1338 test = APFloat::getSmallest(APFloat::IEEEquad, false); 1339 expected = APFloat(APFloat::IEEEquad, "0x0.0000000000000000000000000001p-16382"); 1340 EXPECT_FALSE(test.isNegative()); 1341 EXPECT_TRUE(test.isFiniteNonZero()); 1342 EXPECT_TRUE(test.isDenormal()); 1343 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 1344 1345 test = APFloat::getSmallest(APFloat::IEEEquad, true); 1346 expected = APFloat(APFloat::IEEEquad, "-0x0.0000000000000000000000000001p-16382"); 1347 EXPECT_TRUE(test.isNegative()); 1348 EXPECT_TRUE(test.isFiniteNonZero()); 1349 EXPECT_TRUE(test.isDenormal()); 1350 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 1351 } 1352 1353 TEST(APFloatTest, getSmallestNormalized) { 1354 APFloat test = APFloat::getSmallestNormalized(APFloat::IEEEsingle, false); 1355 APFloat expected = APFloat(APFloat::IEEEsingle, "0x1p-126"); 1356 EXPECT_FALSE(test.isNegative()); 1357 EXPECT_TRUE(test.isFiniteNonZero()); 1358 EXPECT_FALSE(test.isDenormal()); 1359 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 1360 1361 test = APFloat::getSmallestNormalized(APFloat::IEEEsingle, true); 1362 expected = APFloat(APFloat::IEEEsingle, "-0x1p-126"); 1363 EXPECT_TRUE(test.isNegative()); 1364 EXPECT_TRUE(test.isFiniteNonZero()); 1365 EXPECT_FALSE(test.isDenormal()); 1366 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 1367 1368 test = APFloat::getSmallestNormalized(APFloat::IEEEquad, false); 1369 expected = APFloat(APFloat::IEEEquad, "0x1p-16382"); 1370 EXPECT_FALSE(test.isNegative()); 1371 EXPECT_TRUE(test.isFiniteNonZero()); 1372 EXPECT_FALSE(test.isDenormal()); 1373 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 1374 1375 test = APFloat::getSmallestNormalized(APFloat::IEEEquad, true); 1376 expected = APFloat(APFloat::IEEEquad, "-0x1p-16382"); 1377 EXPECT_TRUE(test.isNegative()); 1378 EXPECT_TRUE(test.isFiniteNonZero()); 1379 EXPECT_FALSE(test.isDenormal()); 1380 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 1381 } 1382 1383 TEST(APFloatTest, getZero) { 1384 struct { 1385 const fltSemantics *semantics; 1386 const bool sign; 1387 const unsigned long long bitPattern[2]; 1388 const unsigned bitPatternLength; 1389 } const GetZeroTest[] = { 1390 { &APFloat::IEEEhalf, false, {0, 0}, 1}, 1391 { &APFloat::IEEEhalf, true, {0x8000ULL, 0}, 1}, 1392 { &APFloat::IEEEsingle, false, {0, 0}, 1}, 1393 { &APFloat::IEEEsingle, true, {0x80000000ULL, 0}, 1}, 1394 { &APFloat::IEEEdouble, false, {0, 0}, 1}, 1395 { &APFloat::IEEEdouble, true, {0x8000000000000000ULL, 0}, 1}, 1396 { &APFloat::IEEEquad, false, {0, 0}, 2}, 1397 { &APFloat::IEEEquad, true, {0, 0x8000000000000000ULL}, 2}, 1398 { &APFloat::PPCDoubleDouble, false, {0, 0}, 2}, 1399 { &APFloat::PPCDoubleDouble, true, {0x8000000000000000ULL, 0}, 2}, 1400 { &APFloat::x87DoubleExtended, false, {0, 0}, 2}, 1401 { &APFloat::x87DoubleExtended, true, {0, 0x8000ULL}, 2}, 1402 }; 1403 const unsigned NumGetZeroTests = 12; 1404 for (unsigned i = 0; i < NumGetZeroTests; ++i) { 1405 APFloat test = APFloat::getZero(*GetZeroTest[i].semantics, 1406 GetZeroTest[i].sign); 1407 const char *pattern = GetZeroTest[i].sign? "-0x0p+0" : "0x0p+0"; 1408 APFloat expected = APFloat(*GetZeroTest[i].semantics, 1409 pattern); 1410 EXPECT_TRUE(test.isZero()); 1411 EXPECT_TRUE(GetZeroTest[i].sign? test.isNegative() : !test.isNegative()); 1412 EXPECT_TRUE(test.bitwiseIsEqual(expected)); 1413 for (unsigned j = 0, je = GetZeroTest[i].bitPatternLength; j < je; ++j) { 1414 EXPECT_EQ(GetZeroTest[i].bitPattern[j], 1415 test.bitcastToAPInt().getRawData()[j]); 1416 } 1417 } 1418 } 1419 1420 TEST(APFloatTest, copySign) { 1421 EXPECT_TRUE(APFloat(-42.0).bitwiseIsEqual( 1422 APFloat::copySign(APFloat(42.0), APFloat(-1.0)))); 1423 EXPECT_TRUE(APFloat(42.0).bitwiseIsEqual( 1424 APFloat::copySign(APFloat(-42.0), APFloat(1.0)))); 1425 EXPECT_TRUE(APFloat(-42.0).bitwiseIsEqual( 1426 APFloat::copySign(APFloat(-42.0), APFloat(-1.0)))); 1427 EXPECT_TRUE(APFloat(42.0).bitwiseIsEqual( 1428 APFloat::copySign(APFloat(42.0), APFloat(1.0)))); 1429 } 1430 1431 TEST(APFloatTest, convert) { 1432 bool losesInfo; 1433 APFloat test(APFloat::IEEEdouble, "1.0"); 1434 test.convert(APFloat::IEEEsingle, APFloat::rmNearestTiesToEven, &losesInfo); 1435 EXPECT_EQ(1.0f, test.convertToFloat()); 1436 EXPECT_FALSE(losesInfo); 1437 1438 test = APFloat(APFloat::x87DoubleExtended, "0x1p-53"); 1439 test.add(APFloat(APFloat::x87DoubleExtended, "1.0"), APFloat::rmNearestTiesToEven); 1440 test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo); 1441 EXPECT_EQ(1.0, test.convertToDouble()); 1442 EXPECT_TRUE(losesInfo); 1443 1444 test = APFloat(APFloat::IEEEquad, "0x1p-53"); 1445 test.add(APFloat(APFloat::IEEEquad, "1.0"), APFloat::rmNearestTiesToEven); 1446 test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo); 1447 EXPECT_EQ(1.0, test.convertToDouble()); 1448 EXPECT_TRUE(losesInfo); 1449 1450 test = APFloat(APFloat::x87DoubleExtended, "0xf.fffffffp+28"); 1451 test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo); 1452 EXPECT_EQ(4294967295.0, test.convertToDouble()); 1453 EXPECT_FALSE(losesInfo); 1454 1455 test = APFloat::getSNaN(APFloat::IEEEsingle); 1456 APFloat X87SNaN = APFloat::getSNaN(APFloat::x87DoubleExtended); 1457 test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven, 1458 &losesInfo); 1459 EXPECT_TRUE(test.bitwiseIsEqual(X87SNaN)); 1460 EXPECT_FALSE(losesInfo); 1461 1462 test = APFloat::getQNaN(APFloat::IEEEsingle); 1463 APFloat X87QNaN = APFloat::getQNaN(APFloat::x87DoubleExtended); 1464 test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven, 1465 &losesInfo); 1466 EXPECT_TRUE(test.bitwiseIsEqual(X87QNaN)); 1467 EXPECT_FALSE(losesInfo); 1468 1469 test = APFloat::getSNaN(APFloat::x87DoubleExtended); 1470 test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven, 1471 &losesInfo); 1472 EXPECT_TRUE(test.bitwiseIsEqual(X87SNaN)); 1473 EXPECT_FALSE(losesInfo); 1474 1475 test = APFloat::getQNaN(APFloat::x87DoubleExtended); 1476 test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven, 1477 &losesInfo); 1478 EXPECT_TRUE(test.bitwiseIsEqual(X87QNaN)); 1479 EXPECT_FALSE(losesInfo); 1480 } 1481 1482 TEST(APFloatTest, PPCDoubleDouble) { 1483 APFloat test(APFloat::PPCDoubleDouble, "1.0"); 1484 EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]); 1485 EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]); 1486 1487 test.divide(APFloat(APFloat::PPCDoubleDouble, "3.0"), APFloat::rmNearestTiesToEven); 1488 EXPECT_EQ(0x3fd5555555555555ull, test.bitcastToAPInt().getRawData()[0]); 1489 EXPECT_EQ(0x3c75555555555556ull, test.bitcastToAPInt().getRawData()[1]); 1490 1491 // LDBL_MAX 1492 test = APFloat(APFloat::PPCDoubleDouble, "1.79769313486231580793728971405301e+308"); 1493 EXPECT_EQ(0x7fefffffffffffffull, test.bitcastToAPInt().getRawData()[0]); 1494 EXPECT_EQ(0x7c8ffffffffffffeull, test.bitcastToAPInt().getRawData()[1]); 1495 1496 // LDBL_MIN 1497 test = APFloat(APFloat::PPCDoubleDouble, "2.00416836000897277799610805135016e-292"); 1498 EXPECT_EQ(0x0360000000000000ull, test.bitcastToAPInt().getRawData()[0]); 1499 EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]); 1500 1501 test = APFloat(APFloat::PPCDoubleDouble, "1.0"); 1502 test.add(APFloat(APFloat::PPCDoubleDouble, "0x1p-105"), APFloat::rmNearestTiesToEven); 1503 EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]); 1504 EXPECT_EQ(0x3960000000000000ull, test.bitcastToAPInt().getRawData()[1]); 1505 1506 test = APFloat(APFloat::PPCDoubleDouble, "1.0"); 1507 test.add(APFloat(APFloat::PPCDoubleDouble, "0x1p-106"), APFloat::rmNearestTiesToEven); 1508 EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]); 1509 #if 0 // XFAIL 1510 // This is what we would expect with a true double-double implementation 1511 EXPECT_EQ(0x3950000000000000ull, test.bitcastToAPInt().getRawData()[1]); 1512 #else 1513 // This is what we get with our 106-bit mantissa approximation 1514 EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]); 1515 #endif 1516 } 1517 1518 TEST(APFloatTest, isNegative) { 1519 APFloat t(APFloat::IEEEsingle, "0x1p+0"); 1520 EXPECT_FALSE(t.isNegative()); 1521 t = APFloat(APFloat::IEEEsingle, "-0x1p+0"); 1522 EXPECT_TRUE(t.isNegative()); 1523 1524 EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isNegative()); 1525 EXPECT_TRUE(APFloat::getInf(APFloat::IEEEsingle, true).isNegative()); 1526 1527 EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isNegative()); 1528 EXPECT_TRUE(APFloat::getZero(APFloat::IEEEsingle, true).isNegative()); 1529 1530 EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isNegative()); 1531 EXPECT_TRUE(APFloat::getNaN(APFloat::IEEEsingle, true).isNegative()); 1532 1533 EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isNegative()); 1534 EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, true).isNegative()); 1535 } 1536 1537 TEST(APFloatTest, isNormal) { 1538 APFloat t(APFloat::IEEEsingle, "0x1p+0"); 1539 EXPECT_TRUE(t.isNormal()); 1540 1541 EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isNormal()); 1542 EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isNormal()); 1543 EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isNormal()); 1544 EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isNormal()); 1545 EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-149").isNormal()); 1546 } 1547 1548 TEST(APFloatTest, isFinite) { 1549 APFloat t(APFloat::IEEEsingle, "0x1p+0"); 1550 EXPECT_TRUE(t.isFinite()); 1551 EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isFinite()); 1552 EXPECT_TRUE(APFloat::getZero(APFloat::IEEEsingle, false).isFinite()); 1553 EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isFinite()); 1554 EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isFinite()); 1555 EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "0x1p-149").isFinite()); 1556 } 1557 1558 TEST(APFloatTest, isInfinity) { 1559 APFloat t(APFloat::IEEEsingle, "0x1p+0"); 1560 EXPECT_FALSE(t.isInfinity()); 1561 EXPECT_TRUE(APFloat::getInf(APFloat::IEEEsingle, false).isInfinity()); 1562 EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isInfinity()); 1563 EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isInfinity()); 1564 EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isInfinity()); 1565 EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-149").isInfinity()); 1566 } 1567 1568 TEST(APFloatTest, isNaN) { 1569 APFloat t(APFloat::IEEEsingle, "0x1p+0"); 1570 EXPECT_FALSE(t.isNaN()); 1571 EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isNaN()); 1572 EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isNaN()); 1573 EXPECT_TRUE(APFloat::getNaN(APFloat::IEEEsingle, false).isNaN()); 1574 EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, false).isNaN()); 1575 EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-149").isNaN()); 1576 } 1577 1578 TEST(APFloatTest, isFiniteNonZero) { 1579 // Test positive/negative normal value. 1580 EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "0x1p+0").isFiniteNonZero()); 1581 EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "-0x1p+0").isFiniteNonZero()); 1582 1583 // Test positive/negative denormal value. 1584 EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "0x1p-149").isFiniteNonZero()); 1585 EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "-0x1p-149").isFiniteNonZero()); 1586 1587 // Test +/- Infinity. 1588 EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isFiniteNonZero()); 1589 EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, true).isFiniteNonZero()); 1590 1591 // Test +/- Zero. 1592 EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isFiniteNonZero()); 1593 EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, true).isFiniteNonZero()); 1594 1595 // Test +/- qNaN. +/- dont mean anything with qNaN but paranoia can't hurt in 1596 // this instance. 1597 EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isFiniteNonZero()); 1598 EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, true).isFiniteNonZero()); 1599 1600 // Test +/- sNaN. +/- dont mean anything with sNaN but paranoia can't hurt in 1601 // this instance. 1602 EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isFiniteNonZero()); 1603 EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, true).isFiniteNonZero()); 1604 } 1605 1606 TEST(APFloatTest, add) { 1607 // Test Special Cases against each other and normal values. 1608 1609 // TODOS/NOTES: 1610 // 1. Since we perform only default exception handling all operations with 1611 // signaling NaNs should have a result that is a quiet NaN. Currently they 1612 // return sNaN. 1613 1614 APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false); 1615 APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true); 1616 APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false); 1617 APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true); 1618 APFloat QNaN = APFloat::getNaN(APFloat::IEEEsingle, false); 1619 APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle, false); 1620 APFloat PNormalValue = APFloat(APFloat::IEEEsingle, "0x1p+0"); 1621 APFloat MNormalValue = APFloat(APFloat::IEEEsingle, "-0x1p+0"); 1622 APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle, false); 1623 APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle, true); 1624 APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, false); 1625 APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, true); 1626 APFloat PSmallestNormalized = 1627 APFloat::getSmallestNormalized(APFloat::IEEEsingle, false); 1628 APFloat MSmallestNormalized = 1629 APFloat::getSmallestNormalized(APFloat::IEEEsingle, true); 1630 1631 const int OverflowStatus = APFloat::opOverflow | APFloat::opInexact; 1632 1633 const unsigned NumTests = 169; 1634 struct { 1635 APFloat x; 1636 APFloat y; 1637 const char *result; 1638 int status; 1639 int category; 1640 } SpecialCaseTests[NumTests] = { 1641 { PInf, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 1642 { PInf, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1643 { PInf, PZero, "inf", APFloat::opOK, APFloat::fcInfinity }, 1644 { PInf, MZero, "inf", APFloat::opOK, APFloat::fcInfinity }, 1645 { PInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 1646 #if 0 1647 // See Note 1. 1648 { PInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1649 #endif 1650 { PInf, PNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 1651 { PInf, MNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 1652 { PInf, PLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 1653 { PInf, MLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 1654 { PInf, PSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 1655 { PInf, MSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 1656 { PInf, PSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity }, 1657 { PInf, MSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity }, 1658 { MInf, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1659 { MInf, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1660 { MInf, PZero, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1661 { MInf, MZero, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1662 { MInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 1663 #if 0 1664 // See Note 1. 1665 { MInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1666 #endif 1667 { MInf, PNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1668 { MInf, MNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1669 { MInf, PLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1670 { MInf, MLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1671 { MInf, PSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1672 { MInf, MSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1673 { MInf, PSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1674 { MInf, MSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1675 { PZero, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 1676 { PZero, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1677 { PZero, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 1678 { PZero, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 1679 { PZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 1680 #if 0 1681 // See Note 1. 1682 { PZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1683 #endif 1684 { PZero, PNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, 1685 { PZero, MNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, 1686 { PZero, PLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 1687 { PZero, MLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 1688 { PZero, PSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, 1689 { PZero, MSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, 1690 { PZero, PSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, 1691 { PZero, MSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, 1692 { MZero, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 1693 { MZero, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1694 { MZero, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 1695 { MZero, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 1696 { MZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 1697 #if 0 1698 // See Note 1. 1699 { MZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1700 #endif 1701 { MZero, PNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, 1702 { MZero, MNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, 1703 { MZero, PLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 1704 { MZero, MLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 1705 { MZero, PSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, 1706 { MZero, MSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, 1707 { MZero, PSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, 1708 { MZero, MSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, 1709 { QNaN, PInf, "nan", APFloat::opOK, APFloat::fcNaN }, 1710 { QNaN, MInf, "nan", APFloat::opOK, APFloat::fcNaN }, 1711 { QNaN, PZero, "nan", APFloat::opOK, APFloat::fcNaN }, 1712 { QNaN, MZero, "nan", APFloat::opOK, APFloat::fcNaN }, 1713 { QNaN, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 1714 #if 0 1715 // See Note 1. 1716 { QNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1717 #endif 1718 { QNaN, PNormalValue, "nan", APFloat::opOK, APFloat::fcNaN }, 1719 { QNaN, MNormalValue, "nan", APFloat::opOK, APFloat::fcNaN }, 1720 { QNaN, PLargestValue, "nan", APFloat::opOK, APFloat::fcNaN }, 1721 { QNaN, MLargestValue, "nan", APFloat::opOK, APFloat::fcNaN }, 1722 { QNaN, PSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN }, 1723 { QNaN, MSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN }, 1724 { QNaN, PSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN }, 1725 { QNaN, MSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN }, 1726 #if 0 1727 // See Note 1. 1728 { SNaN, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1729 { SNaN, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1730 { SNaN, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1731 { SNaN, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1732 { SNaN, QNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1733 { SNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1734 { SNaN, PNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1735 { SNaN, MNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1736 { SNaN, PLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1737 { SNaN, MLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1738 { SNaN, PSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1739 { SNaN, MSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1740 { SNaN, PSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1741 { SNaN, MSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1742 #endif 1743 { PNormalValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 1744 { PNormalValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1745 { PNormalValue, PZero, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, 1746 { PNormalValue, MZero, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, 1747 { PNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 1748 #if 0 1749 // See Note 1. 1750 { PNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1751 #endif 1752 { PNormalValue, PNormalValue, "0x1p+1", APFloat::opOK, APFloat::fcNormal }, 1753 { PNormalValue, MNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 1754 { PNormalValue, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1755 { PNormalValue, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1756 { PNormalValue, PSmallestValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 1757 { PNormalValue, MSmallestValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 1758 { PNormalValue, PSmallestNormalized, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 1759 { PNormalValue, MSmallestNormalized, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 1760 { MNormalValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 1761 { MNormalValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1762 { MNormalValue, PZero, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, 1763 { MNormalValue, MZero, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, 1764 { MNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 1765 #if 0 1766 // See Note 1. 1767 { MNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1768 #endif 1769 { MNormalValue, PNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 1770 { MNormalValue, MNormalValue, "-0x1p+1", APFloat::opOK, APFloat::fcNormal }, 1771 { MNormalValue, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1772 { MNormalValue, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1773 { MNormalValue, PSmallestValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 1774 { MNormalValue, MSmallestValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 1775 { MNormalValue, PSmallestNormalized, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 1776 { MNormalValue, MSmallestNormalized, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 1777 { PLargestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 1778 { PLargestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1779 { PLargestValue, PZero, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 1780 { PLargestValue, MZero, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 1781 { PLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 1782 #if 0 1783 // See Note 1. 1784 { PLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1785 #endif 1786 { PLargestValue, PNormalValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1787 { PLargestValue, MNormalValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1788 { PLargestValue, PLargestValue, "inf", OverflowStatus, APFloat::fcInfinity }, 1789 { PLargestValue, MLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 1790 { PLargestValue, PSmallestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1791 { PLargestValue, MSmallestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1792 { PLargestValue, PSmallestNormalized, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1793 { PLargestValue, MSmallestNormalized, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1794 { MLargestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 1795 { MLargestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1796 { MLargestValue, PZero, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 1797 { MLargestValue, MZero, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 1798 { MLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 1799 #if 0 1800 // See Note 1. 1801 { MLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1802 #endif 1803 { MLargestValue, PNormalValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1804 { MLargestValue, MNormalValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1805 { MLargestValue, PLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 1806 { MLargestValue, MLargestValue, "-inf", OverflowStatus, APFloat::fcInfinity }, 1807 { MLargestValue, PSmallestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1808 { MLargestValue, MSmallestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1809 { MLargestValue, PSmallestNormalized, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1810 { MLargestValue, MSmallestNormalized, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1811 { PSmallestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 1812 { PSmallestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1813 { PSmallestValue, PZero, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, 1814 { PSmallestValue, MZero, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, 1815 { PSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 1816 #if 0 1817 // See Note 1. 1818 { PSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1819 #endif 1820 { PSmallestValue, PNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 1821 { PSmallestValue, MNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 1822 { PSmallestValue, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1823 { PSmallestValue, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1824 { PSmallestValue, PSmallestValue, "0x1p-148", APFloat::opOK, APFloat::fcNormal }, 1825 { PSmallestValue, MSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 1826 { PSmallestValue, PSmallestNormalized, "0x1.000002p-126", APFloat::opOK, APFloat::fcNormal }, 1827 { PSmallestValue, MSmallestNormalized, "-0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal }, 1828 { MSmallestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 1829 { MSmallestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1830 { MSmallestValue, PZero, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, 1831 { MSmallestValue, MZero, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, 1832 { MSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 1833 #if 0 1834 // See Note 1. 1835 { MSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1836 #endif 1837 { MSmallestValue, PNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 1838 { MSmallestValue, MNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 1839 { MSmallestValue, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1840 { MSmallestValue, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1841 { MSmallestValue, PSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 1842 { MSmallestValue, MSmallestValue, "-0x1p-148", APFloat::opOK, APFloat::fcNormal }, 1843 { MSmallestValue, PSmallestNormalized, "0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal }, 1844 { MSmallestValue, MSmallestNormalized, "-0x1.000002p-126", APFloat::opOK, APFloat::fcNormal }, 1845 { PSmallestNormalized, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 1846 { PSmallestNormalized, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1847 { PSmallestNormalized, PZero, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, 1848 { PSmallestNormalized, MZero, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, 1849 { PSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 1850 #if 0 1851 // See Note 1. 1852 { PSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1853 #endif 1854 { PSmallestNormalized, PNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 1855 { PSmallestNormalized, MNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 1856 { PSmallestNormalized, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1857 { PSmallestNormalized, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1858 { PSmallestNormalized, PSmallestValue, "0x1.000002p-126", APFloat::opOK, APFloat::fcNormal }, 1859 { PSmallestNormalized, MSmallestValue, "0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal }, 1860 { PSmallestNormalized, PSmallestNormalized, "0x1p-125", APFloat::opOK, APFloat::fcNormal }, 1861 { PSmallestNormalized, MSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 1862 { MSmallestNormalized, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 1863 { MSmallestNormalized, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1864 { MSmallestNormalized, PZero, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, 1865 { MSmallestNormalized, MZero, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, 1866 { MSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 1867 #if 0 1868 // See Note 1. 1869 { MSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1870 #endif 1871 { MSmallestNormalized, PNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 1872 { MSmallestNormalized, MNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 1873 { MSmallestNormalized, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1874 { MSmallestNormalized, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 1875 { MSmallestNormalized, PSmallestValue, "-0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal }, 1876 { MSmallestNormalized, MSmallestValue, "-0x1.000002p-126", APFloat::opOK, APFloat::fcNormal }, 1877 { MSmallestNormalized, PSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 1878 { MSmallestNormalized, MSmallestNormalized, "-0x1p-125", APFloat::opOK, APFloat::fcNormal } 1879 }; 1880 1881 for (size_t i = 0; i < NumTests; ++i) { 1882 APFloat x(SpecialCaseTests[i].x); 1883 APFloat y(SpecialCaseTests[i].y); 1884 APFloat::opStatus status = x.add(y, APFloat::rmNearestTiesToEven); 1885 1886 APFloat result(APFloat::IEEEsingle, SpecialCaseTests[i].result); 1887 1888 EXPECT_TRUE(result.bitwiseIsEqual(x)); 1889 EXPECT_TRUE((int)status == SpecialCaseTests[i].status); 1890 EXPECT_TRUE((int)x.getCategory() == SpecialCaseTests[i].category); 1891 } 1892 } 1893 1894 TEST(APFloatTest, subtract) { 1895 // Test Special Cases against each other and normal values. 1896 1897 // TODOS/NOTES: 1898 // 1. Since we perform only default exception handling all operations with 1899 // signaling NaNs should have a result that is a quiet NaN. Currently they 1900 // return sNaN. 1901 1902 APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false); 1903 APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true); 1904 APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false); 1905 APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true); 1906 APFloat QNaN = APFloat::getNaN(APFloat::IEEEsingle, false); 1907 APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle, false); 1908 APFloat PNormalValue = APFloat(APFloat::IEEEsingle, "0x1p+0"); 1909 APFloat MNormalValue = APFloat(APFloat::IEEEsingle, "-0x1p+0"); 1910 APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle, false); 1911 APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle, true); 1912 APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, false); 1913 APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, true); 1914 APFloat PSmallestNormalized = 1915 APFloat::getSmallestNormalized(APFloat::IEEEsingle, false); 1916 APFloat MSmallestNormalized = 1917 APFloat::getSmallestNormalized(APFloat::IEEEsingle, true); 1918 1919 const int OverflowStatus = APFloat::opOverflow | APFloat::opInexact; 1920 1921 const unsigned NumTests = 169; 1922 struct { 1923 APFloat x; 1924 APFloat y; 1925 const char *result; 1926 int status; 1927 int category; 1928 } SpecialCaseTests[NumTests] = { 1929 { PInf, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1930 { PInf, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 1931 { PInf, PZero, "inf", APFloat::opOK, APFloat::fcInfinity }, 1932 { PInf, MZero, "inf", APFloat::opOK, APFloat::fcInfinity }, 1933 { PInf, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, 1934 #if 0 1935 // See Note 1. 1936 { PInf, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1937 #endif 1938 { PInf, PNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 1939 { PInf, MNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 1940 { PInf, PLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 1941 { PInf, MLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 1942 { PInf, PSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 1943 { PInf, MSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 1944 { PInf, PSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity }, 1945 { PInf, MSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity }, 1946 { MInf, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1947 { MInf, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1948 { MInf, PZero, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1949 { MInf, MZero, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1950 { MInf, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, 1951 #if 0 1952 // See Note 1. 1953 { MInf, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1954 #endif 1955 { MInf, PNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1956 { MInf, MNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1957 { MInf, PLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1958 { MInf, MLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1959 { MInf, PSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1960 { MInf, MSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1961 { MInf, PSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1962 { MInf, MSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1963 { PZero, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1964 { PZero, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 1965 { PZero, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 1966 { PZero, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 1967 { PZero, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, 1968 #if 0 1969 // See Note 1. 1970 { PZero, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1971 #endif 1972 { PZero, PNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, 1973 { PZero, MNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, 1974 { PZero, PLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 1975 { PZero, MLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 1976 { PZero, PSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, 1977 { PZero, MSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, 1978 { PZero, PSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, 1979 { PZero, MSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, 1980 { MZero, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 1981 { MZero, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 1982 { MZero, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 1983 { MZero, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 1984 { MZero, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, 1985 #if 0 1986 // See Note 1. 1987 { MZero, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, 1988 #endif 1989 { MZero, PNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, 1990 { MZero, MNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, 1991 { MZero, PLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 1992 { MZero, MLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 1993 { MZero, PSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, 1994 { MZero, MSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, 1995 { MZero, PSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, 1996 { MZero, MSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, 1997 { QNaN, PInf, "nan", APFloat::opOK, APFloat::fcNaN }, 1998 { QNaN, MInf, "nan", APFloat::opOK, APFloat::fcNaN }, 1999 { QNaN, PZero, "nan", APFloat::opOK, APFloat::fcNaN }, 2000 { QNaN, MZero, "nan", APFloat::opOK, APFloat::fcNaN }, 2001 { QNaN, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2002 #if 0 2003 // See Note 1. 2004 { QNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2005 #endif 2006 { QNaN, PNormalValue, "nan", APFloat::opOK, APFloat::fcNaN }, 2007 { QNaN, MNormalValue, "nan", APFloat::opOK, APFloat::fcNaN }, 2008 { QNaN, PLargestValue, "nan", APFloat::opOK, APFloat::fcNaN }, 2009 { QNaN, MLargestValue, "nan", APFloat::opOK, APFloat::fcNaN }, 2010 { QNaN, PSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN }, 2011 { QNaN, MSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN }, 2012 { QNaN, PSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN }, 2013 { QNaN, MSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN }, 2014 #if 0 2015 // See Note 1. 2016 { SNaN, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2017 { SNaN, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2018 { SNaN, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2019 { SNaN, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2020 { SNaN, QNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2021 { SNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2022 { SNaN, PNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2023 { SNaN, MNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2024 { SNaN, PLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2025 { SNaN, MLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2026 { SNaN, PSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2027 { SNaN, MSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2028 { SNaN, PSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2029 { SNaN, MSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2030 #endif 2031 { PNormalValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2032 { PNormalValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 2033 { PNormalValue, PZero, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2034 { PNormalValue, MZero, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2035 { PNormalValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, 2036 #if 0 2037 // See Note 1. 2038 { PNormalValue, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2039 #endif 2040 { PNormalValue, PNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2041 { PNormalValue, MNormalValue, "0x1p+1", APFloat::opOK, APFloat::fcNormal }, 2042 { PNormalValue, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2043 { PNormalValue, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2044 { PNormalValue, PSmallestValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 2045 { PNormalValue, MSmallestValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 2046 { PNormalValue, PSmallestNormalized, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 2047 { PNormalValue, MSmallestNormalized, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 2048 { MNormalValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2049 { MNormalValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 2050 { MNormalValue, PZero, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2051 { MNormalValue, MZero, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2052 { MNormalValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, 2053 #if 0 2054 // See Note 1. 2055 { MNormalValue, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2056 #endif 2057 { MNormalValue, PNormalValue, "-0x1p+1", APFloat::opOK, APFloat::fcNormal }, 2058 { MNormalValue, MNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2059 { MNormalValue, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2060 { MNormalValue, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2061 { MNormalValue, PSmallestValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 2062 { MNormalValue, MSmallestValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 2063 { MNormalValue, PSmallestNormalized, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 2064 { MNormalValue, MSmallestNormalized, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 2065 { PLargestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2066 { PLargestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 2067 { PLargestValue, PZero, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 2068 { PLargestValue, MZero, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 2069 { PLargestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, 2070 #if 0 2071 // See Note 1. 2072 { PLargestValue, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2073 #endif 2074 { PLargestValue, PNormalValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2075 { PLargestValue, MNormalValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2076 { PLargestValue, PLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2077 { PLargestValue, MLargestValue, "inf", OverflowStatus, APFloat::fcInfinity }, 2078 { PLargestValue, PSmallestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2079 { PLargestValue, MSmallestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2080 { PLargestValue, PSmallestNormalized, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2081 { PLargestValue, MSmallestNormalized, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2082 { MLargestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2083 { MLargestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 2084 { MLargestValue, PZero, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 2085 { MLargestValue, MZero, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 2086 { MLargestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, 2087 #if 0 2088 // See Note 1. 2089 { MLargestValue, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2090 #endif 2091 { MLargestValue, PNormalValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2092 { MLargestValue, MNormalValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2093 { MLargestValue, PLargestValue, "-inf", OverflowStatus, APFloat::fcInfinity }, 2094 { MLargestValue, MLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2095 { MLargestValue, PSmallestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2096 { MLargestValue, MSmallestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2097 { MLargestValue, PSmallestNormalized, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2098 { MLargestValue, MSmallestNormalized, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2099 { PSmallestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2100 { PSmallestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 2101 { PSmallestValue, PZero, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, 2102 { PSmallestValue, MZero, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, 2103 { PSmallestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, 2104 #if 0 2105 // See Note 1. 2106 { PSmallestValue, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2107 #endif 2108 { PSmallestValue, PNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 2109 { PSmallestValue, MNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 2110 { PSmallestValue, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2111 { PSmallestValue, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2112 { PSmallestValue, PSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2113 { PSmallestValue, MSmallestValue, "0x1p-148", APFloat::opOK, APFloat::fcNormal }, 2114 { PSmallestValue, PSmallestNormalized, "-0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal }, 2115 { PSmallestValue, MSmallestNormalized, "0x1.000002p-126", APFloat::opOK, APFloat::fcNormal }, 2116 { MSmallestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2117 { MSmallestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 2118 { MSmallestValue, PZero, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, 2119 { MSmallestValue, MZero, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, 2120 { MSmallestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, 2121 #if 0 2122 // See Note 1. 2123 { MSmallestValue, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2124 #endif 2125 { MSmallestValue, PNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 2126 { MSmallestValue, MNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 2127 { MSmallestValue, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2128 { MSmallestValue, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2129 { MSmallestValue, PSmallestValue, "-0x1p-148", APFloat::opOK, APFloat::fcNormal }, 2130 { MSmallestValue, MSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2131 { MSmallestValue, PSmallestNormalized, "-0x1.000002p-126", APFloat::opOK, APFloat::fcNormal }, 2132 { MSmallestValue, MSmallestNormalized, "0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal }, 2133 { PSmallestNormalized, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2134 { PSmallestNormalized, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 2135 { PSmallestNormalized, PZero, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, 2136 { PSmallestNormalized, MZero, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, 2137 { PSmallestNormalized, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, 2138 #if 0 2139 // See Note 1. 2140 { PSmallestNormalized, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2141 #endif 2142 { PSmallestNormalized, PNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 2143 { PSmallestNormalized, MNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 2144 { PSmallestNormalized, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2145 { PSmallestNormalized, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2146 { PSmallestNormalized, PSmallestValue, "0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal }, 2147 { PSmallestNormalized, MSmallestValue, "0x1.000002p-126", APFloat::opOK, APFloat::fcNormal }, 2148 { PSmallestNormalized, PSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2149 { PSmallestNormalized, MSmallestNormalized, "0x1p-125", APFloat::opOK, APFloat::fcNormal }, 2150 { MSmallestNormalized, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2151 { MSmallestNormalized, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 2152 { MSmallestNormalized, PZero, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, 2153 { MSmallestNormalized, MZero, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, 2154 { MSmallestNormalized, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, 2155 #if 0 2156 // See Note 1. 2157 { MSmallestNormalized, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2158 #endif 2159 { MSmallestNormalized, PNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 2160 { MSmallestNormalized, MNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, 2161 { MSmallestNormalized, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2162 { MSmallestNormalized, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, 2163 { MSmallestNormalized, PSmallestValue, "-0x1.000002p-126", APFloat::opOK, APFloat::fcNormal }, 2164 { MSmallestNormalized, MSmallestValue, "-0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal }, 2165 { MSmallestNormalized, PSmallestNormalized, "-0x1p-125", APFloat::opOK, APFloat::fcNormal }, 2166 { MSmallestNormalized, MSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero } 2167 }; 2168 2169 for (size_t i = 0; i < NumTests; ++i) { 2170 APFloat x(SpecialCaseTests[i].x); 2171 APFloat y(SpecialCaseTests[i].y); 2172 APFloat::opStatus status = x.subtract(y, APFloat::rmNearestTiesToEven); 2173 2174 APFloat result(APFloat::IEEEsingle, SpecialCaseTests[i].result); 2175 2176 EXPECT_TRUE(result.bitwiseIsEqual(x)); 2177 EXPECT_TRUE((int)status == SpecialCaseTests[i].status); 2178 EXPECT_TRUE((int)x.getCategory() == SpecialCaseTests[i].category); 2179 } 2180 } 2181 2182 TEST(APFloatTest, multiply) { 2183 // Test Special Cases against each other and normal values. 2184 2185 // TODOS/NOTES: 2186 // 1. Since we perform only default exception handling all operations with 2187 // signaling NaNs should have a result that is a quiet NaN. Currently they 2188 // return sNaN. 2189 2190 APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false); 2191 APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true); 2192 APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false); 2193 APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true); 2194 APFloat QNaN = APFloat::getNaN(APFloat::IEEEsingle, false); 2195 APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle, false); 2196 APFloat PNormalValue = APFloat(APFloat::IEEEsingle, "0x1p+0"); 2197 APFloat MNormalValue = APFloat(APFloat::IEEEsingle, "-0x1p+0"); 2198 APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle, false); 2199 APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle, true); 2200 APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, false); 2201 APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, true); 2202 APFloat PSmallestNormalized = 2203 APFloat::getSmallestNormalized(APFloat::IEEEsingle, false); 2204 APFloat MSmallestNormalized = 2205 APFloat::getSmallestNormalized(APFloat::IEEEsingle, true); 2206 2207 const int OverflowStatus = APFloat::opOverflow | APFloat::opInexact; 2208 const int UnderflowStatus = APFloat::opUnderflow | APFloat::opInexact; 2209 2210 const unsigned NumTests = 169; 2211 struct { 2212 APFloat x; 2213 APFloat y; 2214 const char *result; 2215 int status; 2216 int category; 2217 } SpecialCaseTests[NumTests] = { 2218 { PInf, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 2219 { PInf, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2220 { PInf, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2221 { PInf, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2222 { PInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2223 #if 0 2224 // See Note 1. 2225 { PInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2226 #endif 2227 { PInf, PNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 2228 { PInf, MNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2229 { PInf, PLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 2230 { PInf, MLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2231 { PInf, PSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 2232 { PInf, MSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2233 { PInf, PSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity }, 2234 { PInf, MSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2235 { MInf, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2236 { MInf, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 2237 { MInf, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2238 { MInf, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2239 { MInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2240 #if 0 2241 // See Note 1. 2242 { MInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2243 #endif 2244 { MInf, PNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2245 { MInf, MNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 2246 { MInf, PLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2247 { MInf, MLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 2248 { MInf, PSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2249 { MInf, MSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 2250 { MInf, PSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2251 { MInf, MSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity }, 2252 { PZero, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2253 { PZero, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2254 { PZero, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2255 { PZero, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2256 { PZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2257 #if 0 2258 // See Note 1. 2259 { PZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2260 #endif 2261 { PZero, PNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2262 { PZero, MNormalValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2263 { PZero, PLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2264 { PZero, MLargestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2265 { PZero, PSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2266 { PZero, MSmallestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2267 { PZero, PSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2268 { PZero, MSmallestNormalized, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2269 { MZero, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2270 { MZero, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2271 { MZero, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2272 { MZero, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2273 { MZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2274 #if 0 2275 // See Note 1. 2276 { MZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2277 #endif 2278 { MZero, PNormalValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2279 { MZero, MNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2280 { MZero, PLargestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2281 { MZero, MLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2282 { MZero, PSmallestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2283 { MZero, MSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2284 { MZero, PSmallestNormalized, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2285 { MZero, MSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2286 { QNaN, PInf, "nan", APFloat::opOK, APFloat::fcNaN }, 2287 { QNaN, MInf, "nan", APFloat::opOK, APFloat::fcNaN }, 2288 { QNaN, PZero, "nan", APFloat::opOK, APFloat::fcNaN }, 2289 { QNaN, MZero, "nan", APFloat::opOK, APFloat::fcNaN }, 2290 { QNaN, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2291 #if 0 2292 // See Note 1. 2293 { QNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2294 #endif 2295 { QNaN, PNormalValue, "nan", APFloat::opOK, APFloat::fcNaN }, 2296 { QNaN, MNormalValue, "nan", APFloat::opOK, APFloat::fcNaN }, 2297 { QNaN, PLargestValue, "nan", APFloat::opOK, APFloat::fcNaN }, 2298 { QNaN, MLargestValue, "nan", APFloat::opOK, APFloat::fcNaN }, 2299 { QNaN, PSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN }, 2300 { QNaN, MSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN }, 2301 { QNaN, PSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN }, 2302 { QNaN, MSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN }, 2303 #if 0 2304 // See Note 1. 2305 { SNaN, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2306 { SNaN, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2307 { SNaN, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2308 { SNaN, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2309 { SNaN, QNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2310 { SNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2311 { SNaN, PNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2312 { SNaN, MNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2313 { SNaN, PLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2314 { SNaN, MLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2315 { SNaN, PSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2316 { SNaN, MSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2317 { SNaN, PSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2318 { SNaN, MSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2319 #endif 2320 { PNormalValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 2321 { PNormalValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2322 { PNormalValue, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2323 { PNormalValue, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2324 { PNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2325 #if 0 2326 // See Note 1. 2327 { PNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2328 #endif 2329 { PNormalValue, PNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2330 { PNormalValue, MNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2331 { PNormalValue, PLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 2332 { PNormalValue, MLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 2333 { PNormalValue, PSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, 2334 { PNormalValue, MSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, 2335 { PNormalValue, PSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, 2336 { PNormalValue, MSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, 2337 { MNormalValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2338 { MNormalValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 2339 { MNormalValue, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2340 { MNormalValue, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2341 { MNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2342 #if 0 2343 // See Note 1. 2344 { MNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2345 #endif 2346 { MNormalValue, PNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2347 { MNormalValue, MNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2348 { MNormalValue, PLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 2349 { MNormalValue, MLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 2350 { MNormalValue, PSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, 2351 { MNormalValue, MSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, 2352 { MNormalValue, PSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, 2353 { MNormalValue, MSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, 2354 { PLargestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 2355 { PLargestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2356 { PLargestValue, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2357 { PLargestValue, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2358 { PLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2359 #if 0 2360 // See Note 1. 2361 { PLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2362 #endif 2363 { PLargestValue, PNormalValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 2364 { PLargestValue, MNormalValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 2365 { PLargestValue, PLargestValue, "inf", OverflowStatus, APFloat::fcInfinity }, 2366 { PLargestValue, MLargestValue, "-inf", OverflowStatus, APFloat::fcInfinity }, 2367 { PLargestValue, PSmallestValue, "0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal }, 2368 { PLargestValue, MSmallestValue, "-0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal }, 2369 { PLargestValue, PSmallestNormalized, "0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal }, 2370 { PLargestValue, MSmallestNormalized, "-0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal }, 2371 { MLargestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2372 { MLargestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 2373 { MLargestValue, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2374 { MLargestValue, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2375 { MLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2376 #if 0 2377 // See Note 1. 2378 { MLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2379 #endif 2380 { MLargestValue, PNormalValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 2381 { MLargestValue, MNormalValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 2382 { MLargestValue, PLargestValue, "-inf", OverflowStatus, APFloat::fcInfinity }, 2383 { MLargestValue, MLargestValue, "inf", OverflowStatus, APFloat::fcInfinity }, 2384 { MLargestValue, PSmallestValue, "-0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal }, 2385 { MLargestValue, MSmallestValue, "0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal }, 2386 { MLargestValue, PSmallestNormalized, "-0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal }, 2387 { MLargestValue, MSmallestNormalized, "0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal }, 2388 { PSmallestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 2389 { PSmallestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2390 { PSmallestValue, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2391 { PSmallestValue, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2392 { PSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2393 #if 0 2394 // See Note 1. 2395 { PSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2396 #endif 2397 { PSmallestValue, PNormalValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, 2398 { PSmallestValue, MNormalValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, 2399 { PSmallestValue, PLargestValue, "0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal }, 2400 { PSmallestValue, MLargestValue, "-0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal }, 2401 { PSmallestValue, PSmallestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero }, 2402 { PSmallestValue, MSmallestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, 2403 { PSmallestValue, PSmallestNormalized, "0x0p+0", UnderflowStatus, APFloat::fcZero }, 2404 { PSmallestValue, MSmallestNormalized, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, 2405 { MSmallestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2406 { MSmallestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 2407 { MSmallestValue, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2408 { MSmallestValue, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2409 { MSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2410 #if 0 2411 // See Note 1. 2412 { MSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2413 #endif 2414 { MSmallestValue, PNormalValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, 2415 { MSmallestValue, MNormalValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, 2416 { MSmallestValue, PLargestValue, "-0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal }, 2417 { MSmallestValue, MLargestValue, "0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal }, 2418 { MSmallestValue, PSmallestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, 2419 { MSmallestValue, MSmallestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero }, 2420 { MSmallestValue, PSmallestNormalized, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, 2421 { MSmallestValue, MSmallestNormalized, "0x0p+0", UnderflowStatus, APFloat::fcZero }, 2422 { PSmallestNormalized, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 2423 { PSmallestNormalized, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2424 { PSmallestNormalized, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2425 { PSmallestNormalized, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2426 { PSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2427 #if 0 2428 // See Note 1. 2429 { PSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2430 #endif 2431 { PSmallestNormalized, PNormalValue, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, 2432 { PSmallestNormalized, MNormalValue, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, 2433 { PSmallestNormalized, PLargestValue, "0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal }, 2434 { PSmallestNormalized, MLargestValue, "-0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal }, 2435 { PSmallestNormalized, PSmallestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero }, 2436 { PSmallestNormalized, MSmallestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, 2437 { PSmallestNormalized, PSmallestNormalized, "0x0p+0", UnderflowStatus, APFloat::fcZero }, 2438 { PSmallestNormalized, MSmallestNormalized, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, 2439 { MSmallestNormalized, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2440 { MSmallestNormalized, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, 2441 { MSmallestNormalized, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2442 { MSmallestNormalized, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2443 { MSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2444 #if 0 2445 // See Note 1. 2446 { MSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2447 #endif 2448 { MSmallestNormalized, PNormalValue, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, 2449 { MSmallestNormalized, MNormalValue, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, 2450 { MSmallestNormalized, PLargestValue, "-0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal }, 2451 { MSmallestNormalized, MLargestValue, "0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal }, 2452 { MSmallestNormalized, PSmallestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, 2453 { MSmallestNormalized, MSmallestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero }, 2454 { MSmallestNormalized, PSmallestNormalized, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, 2455 { MSmallestNormalized, MSmallestNormalized, "0x0p+0", UnderflowStatus, APFloat::fcZero } 2456 }; 2457 2458 for (size_t i = 0; i < NumTests; ++i) { 2459 APFloat x(SpecialCaseTests[i].x); 2460 APFloat y(SpecialCaseTests[i].y); 2461 APFloat::opStatus status = x.multiply(y, APFloat::rmNearestTiesToEven); 2462 2463 APFloat result(APFloat::IEEEsingle, SpecialCaseTests[i].result); 2464 2465 EXPECT_TRUE(result.bitwiseIsEqual(x)); 2466 EXPECT_TRUE((int)status == SpecialCaseTests[i].status); 2467 EXPECT_TRUE((int)x.getCategory() == SpecialCaseTests[i].category); 2468 } 2469 } 2470 2471 TEST(APFloatTest, divide) { 2472 // Test Special Cases against each other and normal values. 2473 2474 // TODOS/NOTES: 2475 // 1. Since we perform only default exception handling all operations with 2476 // signaling NaNs should have a result that is a quiet NaN. Currently they 2477 // return sNaN. 2478 2479 APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false); 2480 APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true); 2481 APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false); 2482 APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true); 2483 APFloat QNaN = APFloat::getNaN(APFloat::IEEEsingle, false); 2484 APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle, false); 2485 APFloat PNormalValue = APFloat(APFloat::IEEEsingle, "0x1p+0"); 2486 APFloat MNormalValue = APFloat(APFloat::IEEEsingle, "-0x1p+0"); 2487 APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle, false); 2488 APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle, true); 2489 APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, false); 2490 APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, true); 2491 APFloat PSmallestNormalized = 2492 APFloat::getSmallestNormalized(APFloat::IEEEsingle, false); 2493 APFloat MSmallestNormalized = 2494 APFloat::getSmallestNormalized(APFloat::IEEEsingle, true); 2495 2496 const int OverflowStatus = APFloat::opOverflow | APFloat::opInexact; 2497 const int UnderflowStatus = APFloat::opUnderflow | APFloat::opInexact; 2498 2499 const unsigned NumTests = 169; 2500 struct { 2501 APFloat x; 2502 APFloat y; 2503 const char *result; 2504 int status; 2505 int category; 2506 } SpecialCaseTests[NumTests] = { 2507 { PInf, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2508 { PInf, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2509 { PInf, PZero, "inf", APFloat::opOK, APFloat::fcInfinity }, 2510 { PInf, MZero, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2511 { PInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2512 #if 0 2513 // See Note 1. 2514 { PInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2515 #endif 2516 { PInf, PNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 2517 { PInf, MNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2518 { PInf, PLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 2519 { PInf, MLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2520 { PInf, PSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 2521 { PInf, MSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2522 { PInf, PSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity }, 2523 { PInf, MSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2524 { MInf, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2525 { MInf, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2526 { MInf, PZero, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2527 { MInf, MZero, "inf", APFloat::opOK, APFloat::fcInfinity }, 2528 { MInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2529 #if 0 2530 // See Note 1. 2531 { MInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2532 #endif 2533 { MInf, PNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2534 { MInf, MNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 2535 { MInf, PLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2536 { MInf, MLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 2537 { MInf, PSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2538 { MInf, MSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, 2539 { MInf, PSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity }, 2540 { MInf, MSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity }, 2541 { PZero, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2542 { PZero, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2543 { PZero, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2544 { PZero, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2545 { PZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2546 #if 0 2547 // See Note 1. 2548 { PZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2549 #endif 2550 { PZero, PNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2551 { PZero, MNormalValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2552 { PZero, PLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2553 { PZero, MLargestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2554 { PZero, PSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2555 { PZero, MSmallestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2556 { PZero, PSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2557 { PZero, MSmallestNormalized, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2558 { MZero, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2559 { MZero, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2560 { MZero, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2561 { MZero, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2562 { MZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2563 #if 0 2564 // See Note 1. 2565 { MZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2566 #endif 2567 { MZero, PNormalValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2568 { MZero, MNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2569 { MZero, PLargestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2570 { MZero, MLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2571 { MZero, PSmallestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2572 { MZero, MSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2573 { MZero, PSmallestNormalized, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2574 { MZero, MSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2575 { QNaN, PInf, "nan", APFloat::opOK, APFloat::fcNaN }, 2576 { QNaN, MInf, "nan", APFloat::opOK, APFloat::fcNaN }, 2577 { QNaN, PZero, "nan", APFloat::opOK, APFloat::fcNaN }, 2578 { QNaN, MZero, "nan", APFloat::opOK, APFloat::fcNaN }, 2579 { QNaN, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2580 #if 0 2581 // See Note 1. 2582 { QNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2583 #endif 2584 { QNaN, PNormalValue, "nan", APFloat::opOK, APFloat::fcNaN }, 2585 { QNaN, MNormalValue, "nan", APFloat::opOK, APFloat::fcNaN }, 2586 { QNaN, PLargestValue, "nan", APFloat::opOK, APFloat::fcNaN }, 2587 { QNaN, MLargestValue, "nan", APFloat::opOK, APFloat::fcNaN }, 2588 { QNaN, PSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN }, 2589 { QNaN, MSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN }, 2590 { QNaN, PSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN }, 2591 { QNaN, MSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN }, 2592 #if 0 2593 // See Note 1. 2594 { SNaN, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2595 { SNaN, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2596 { SNaN, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2597 { SNaN, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2598 { SNaN, QNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2599 { SNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2600 { SNaN, PNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2601 { SNaN, MNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2602 { SNaN, PLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2603 { SNaN, MLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2604 { SNaN, PSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2605 { SNaN, MSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2606 { SNaN, PSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2607 { SNaN, MSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2608 #endif 2609 { PNormalValue, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2610 { PNormalValue, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2611 { PNormalValue, PZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity }, 2612 { PNormalValue, MZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity }, 2613 { PNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2614 #if 0 2615 // See Note 1. 2616 { PNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2617 #endif 2618 { PNormalValue, PNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2619 { PNormalValue, MNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2620 { PNormalValue, PLargestValue, "0x1p-128", UnderflowStatus, APFloat::fcNormal }, 2621 { PNormalValue, MLargestValue, "-0x1p-128", UnderflowStatus, APFloat::fcNormal }, 2622 { PNormalValue, PSmallestValue, "inf", OverflowStatus, APFloat::fcInfinity }, 2623 { PNormalValue, MSmallestValue, "-inf", OverflowStatus, APFloat::fcInfinity }, 2624 { PNormalValue, PSmallestNormalized, "0x1p+126", APFloat::opOK, APFloat::fcNormal }, 2625 { PNormalValue, MSmallestNormalized, "-0x1p+126", APFloat::opOK, APFloat::fcNormal }, 2626 { MNormalValue, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2627 { MNormalValue, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2628 { MNormalValue, PZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity }, 2629 { MNormalValue, MZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity }, 2630 { MNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2631 #if 0 2632 // See Note 1. 2633 { MNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2634 #endif 2635 { MNormalValue, PNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2636 { MNormalValue, MNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2637 { MNormalValue, PLargestValue, "-0x1p-128", UnderflowStatus, APFloat::fcNormal }, 2638 { MNormalValue, MLargestValue, "0x1p-128", UnderflowStatus, APFloat::fcNormal }, 2639 { MNormalValue, PSmallestValue, "-inf", OverflowStatus, APFloat::fcInfinity }, 2640 { MNormalValue, MSmallestValue, "inf", OverflowStatus, APFloat::fcInfinity }, 2641 { MNormalValue, PSmallestNormalized, "-0x1p+126", APFloat::opOK, APFloat::fcNormal }, 2642 { MNormalValue, MSmallestNormalized, "0x1p+126", APFloat::opOK, APFloat::fcNormal }, 2643 { PLargestValue, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2644 { PLargestValue, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2645 { PLargestValue, PZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity }, 2646 { PLargestValue, MZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity }, 2647 { PLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2648 #if 0 2649 // See Note 1. 2650 { PLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2651 #endif 2652 { PLargestValue, PNormalValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 2653 { PLargestValue, MNormalValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 2654 { PLargestValue, PLargestValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2655 { PLargestValue, MLargestValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2656 { PLargestValue, PSmallestValue, "inf", OverflowStatus, APFloat::fcInfinity }, 2657 { PLargestValue, MSmallestValue, "-inf", OverflowStatus, APFloat::fcInfinity }, 2658 { PLargestValue, PSmallestNormalized, "inf", OverflowStatus, APFloat::fcInfinity }, 2659 { PLargestValue, MSmallestNormalized, "-inf", OverflowStatus, APFloat::fcInfinity }, 2660 { MLargestValue, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2661 { MLargestValue, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2662 { MLargestValue, PZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity }, 2663 { MLargestValue, MZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity }, 2664 { MLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2665 #if 0 2666 // See Note 1. 2667 { MLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2668 #endif 2669 { MLargestValue, PNormalValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 2670 { MLargestValue, MNormalValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, 2671 { MLargestValue, PLargestValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2672 { MLargestValue, MLargestValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2673 { MLargestValue, PSmallestValue, "-inf", OverflowStatus, APFloat::fcInfinity }, 2674 { MLargestValue, MSmallestValue, "inf", OverflowStatus, APFloat::fcInfinity }, 2675 { MLargestValue, PSmallestNormalized, "-inf", OverflowStatus, APFloat::fcInfinity }, 2676 { MLargestValue, MSmallestNormalized, "inf", OverflowStatus, APFloat::fcInfinity }, 2677 { PSmallestValue, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2678 { PSmallestValue, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2679 { PSmallestValue, PZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity }, 2680 { PSmallestValue, MZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity }, 2681 { PSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2682 #if 0 2683 // See Note 1. 2684 { PSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2685 #endif 2686 { PSmallestValue, PNormalValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, 2687 { PSmallestValue, MNormalValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, 2688 { PSmallestValue, PLargestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero }, 2689 { PSmallestValue, MLargestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, 2690 { PSmallestValue, PSmallestValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2691 { PSmallestValue, MSmallestValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2692 { PSmallestValue, PSmallestNormalized, "0x1p-23", APFloat::opOK, APFloat::fcNormal }, 2693 { PSmallestValue, MSmallestNormalized, "-0x1p-23", APFloat::opOK, APFloat::fcNormal }, 2694 { MSmallestValue, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2695 { MSmallestValue, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2696 { MSmallestValue, PZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity }, 2697 { MSmallestValue, MZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity }, 2698 { MSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2699 #if 0 2700 // See Note 1. 2701 { MSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2702 #endif 2703 { MSmallestValue, PNormalValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, 2704 { MSmallestValue, MNormalValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, 2705 { MSmallestValue, PLargestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, 2706 { MSmallestValue, MLargestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero }, 2707 { MSmallestValue, PSmallestValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2708 { MSmallestValue, MSmallestValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2709 { MSmallestValue, PSmallestNormalized, "-0x1p-23", APFloat::opOK, APFloat::fcNormal }, 2710 { MSmallestValue, MSmallestNormalized, "0x1p-23", APFloat::opOK, APFloat::fcNormal }, 2711 { PSmallestNormalized, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2712 { PSmallestNormalized, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2713 { PSmallestNormalized, PZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity }, 2714 { PSmallestNormalized, MZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity }, 2715 { PSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2716 #if 0 2717 // See Note 1. 2718 { PSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2719 #endif 2720 { PSmallestNormalized, PNormalValue, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, 2721 { PSmallestNormalized, MNormalValue, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, 2722 { PSmallestNormalized, PLargestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero }, 2723 { PSmallestNormalized, MLargestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, 2724 { PSmallestNormalized, PSmallestValue, "0x1p+23", APFloat::opOK, APFloat::fcNormal }, 2725 { PSmallestNormalized, MSmallestValue, "-0x1p+23", APFloat::opOK, APFloat::fcNormal }, 2726 { PSmallestNormalized, PSmallestNormalized, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2727 { PSmallestNormalized, MSmallestNormalized, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2728 { MSmallestNormalized, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, 2729 { MSmallestNormalized, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, 2730 { MSmallestNormalized, PZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity }, 2731 { MSmallestNormalized, MZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity }, 2732 { MSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, 2733 #if 0 2734 // See Note 1. 2735 { MSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, 2736 #endif 2737 { MSmallestNormalized, PNormalValue, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, 2738 { MSmallestNormalized, MNormalValue, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, 2739 { MSmallestNormalized, PLargestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, 2740 { MSmallestNormalized, MLargestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero }, 2741 { MSmallestNormalized, PSmallestValue, "-0x1p+23", APFloat::opOK, APFloat::fcNormal }, 2742 { MSmallestNormalized, MSmallestValue, "0x1p+23", APFloat::opOK, APFloat::fcNormal }, 2743 { MSmallestNormalized, PSmallestNormalized, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2744 { MSmallestNormalized, MSmallestNormalized, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, 2745 }; 2746 2747 for (size_t i = 0; i < NumTests; ++i) { 2748 APFloat x(SpecialCaseTests[i].x); 2749 APFloat y(SpecialCaseTests[i].y); 2750 APFloat::opStatus status = x.divide(y, APFloat::rmNearestTiesToEven); 2751 2752 APFloat result(APFloat::IEEEsingle, SpecialCaseTests[i].result); 2753 2754 EXPECT_TRUE(result.bitwiseIsEqual(x)); 2755 EXPECT_TRUE((int)status == SpecialCaseTests[i].status); 2756 EXPECT_TRUE((int)x.getCategory() == SpecialCaseTests[i].category); 2757 } 2758 } 2759 2760 TEST(APFloatTest, operatorOverloads) { 2761 // This is mostly testing that these operator overloads compile. 2762 APFloat One = APFloat(APFloat::IEEEsingle, "0x1p+0"); 2763 APFloat Two = APFloat(APFloat::IEEEsingle, "0x2p+0"); 2764 EXPECT_TRUE(Two.bitwiseIsEqual(One + One)); 2765 EXPECT_TRUE(One.bitwiseIsEqual(Two - One)); 2766 EXPECT_TRUE(Two.bitwiseIsEqual(One * Two)); 2767 EXPECT_TRUE(One.bitwiseIsEqual(Two / Two)); 2768 } 2769 2770 TEST(APFloatTest, abs) { 2771 APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false); 2772 APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true); 2773 APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false); 2774 APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true); 2775 APFloat PQNaN = APFloat::getNaN(APFloat::IEEEsingle, false); 2776 APFloat MQNaN = APFloat::getNaN(APFloat::IEEEsingle, true); 2777 APFloat PSNaN = APFloat::getSNaN(APFloat::IEEEsingle, false); 2778 APFloat MSNaN = APFloat::getSNaN(APFloat::IEEEsingle, true); 2779 APFloat PNormalValue = APFloat(APFloat::IEEEsingle, "0x1p+0"); 2780 APFloat MNormalValue = APFloat(APFloat::IEEEsingle, "-0x1p+0"); 2781 APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle, false); 2782 APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle, true); 2783 APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, false); 2784 APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, true); 2785 APFloat PSmallestNormalized = 2786 APFloat::getSmallestNormalized(APFloat::IEEEsingle, false); 2787 APFloat MSmallestNormalized = 2788 APFloat::getSmallestNormalized(APFloat::IEEEsingle, true); 2789 2790 EXPECT_TRUE(PInf.bitwiseIsEqual(abs(PInf))); 2791 EXPECT_TRUE(PInf.bitwiseIsEqual(abs(MInf))); 2792 EXPECT_TRUE(PZero.bitwiseIsEqual(abs(PZero))); 2793 EXPECT_TRUE(PZero.bitwiseIsEqual(abs(MZero))); 2794 EXPECT_TRUE(PQNaN.bitwiseIsEqual(abs(PQNaN))); 2795 EXPECT_TRUE(PQNaN.bitwiseIsEqual(abs(MQNaN))); 2796 EXPECT_TRUE(PSNaN.bitwiseIsEqual(abs(PSNaN))); 2797 EXPECT_TRUE(PSNaN.bitwiseIsEqual(abs(MSNaN))); 2798 EXPECT_TRUE(PNormalValue.bitwiseIsEqual(abs(PNormalValue))); 2799 EXPECT_TRUE(PNormalValue.bitwiseIsEqual(abs(MNormalValue))); 2800 EXPECT_TRUE(PLargestValue.bitwiseIsEqual(abs(PLargestValue))); 2801 EXPECT_TRUE(PLargestValue.bitwiseIsEqual(abs(MLargestValue))); 2802 EXPECT_TRUE(PSmallestValue.bitwiseIsEqual(abs(PSmallestValue))); 2803 EXPECT_TRUE(PSmallestValue.bitwiseIsEqual(abs(MSmallestValue))); 2804 EXPECT_TRUE(PSmallestNormalized.bitwiseIsEqual(abs(PSmallestNormalized))); 2805 EXPECT_TRUE(PSmallestNormalized.bitwiseIsEqual(abs(MSmallestNormalized))); 2806 } 2807 2808 TEST(APFloatTest, ilogb) { 2809 EXPECT_EQ(0, ilogb(APFloat(APFloat::IEEEsingle, "0x1p+0"))); 2810 EXPECT_EQ(0, ilogb(APFloat(APFloat::IEEEsingle, "-0x1p+0"))); 2811 EXPECT_EQ(42, ilogb(APFloat(APFloat::IEEEsingle, "0x1p+42"))); 2812 EXPECT_EQ(-42, ilogb(APFloat(APFloat::IEEEsingle, "0x1p-42"))); 2813 2814 EXPECT_EQ(APFloat::IEK_Inf, 2815 ilogb(APFloat::getInf(APFloat::IEEEsingle, false))); 2816 EXPECT_EQ(APFloat::IEK_Inf, 2817 ilogb(APFloat::getInf(APFloat::IEEEsingle, true))); 2818 EXPECT_EQ(APFloat::IEK_Zero, 2819 ilogb(APFloat::getZero(APFloat::IEEEsingle, false))); 2820 EXPECT_EQ(APFloat::IEK_Zero, 2821 ilogb(APFloat::getZero(APFloat::IEEEsingle, true))); 2822 EXPECT_EQ(APFloat::IEK_NaN, 2823 ilogb(APFloat::getNaN(APFloat::IEEEsingle, false))); 2824 EXPECT_EQ(APFloat::IEK_NaN, 2825 ilogb(APFloat::getSNaN(APFloat::IEEEsingle, false))); 2826 2827 EXPECT_EQ(127, ilogb(APFloat::getLargest(APFloat::IEEEsingle, false))); 2828 EXPECT_EQ(127, ilogb(APFloat::getLargest(APFloat::IEEEsingle, true))); 2829 EXPECT_EQ(-126, ilogb(APFloat::getSmallest(APFloat::IEEEsingle, false))); 2830 EXPECT_EQ(-126, ilogb(APFloat::getSmallest(APFloat::IEEEsingle, true))); 2831 EXPECT_EQ(-126, 2832 ilogb(APFloat::getSmallestNormalized(APFloat::IEEEsingle, false))); 2833 EXPECT_EQ(-126, 2834 ilogb(APFloat::getSmallestNormalized(APFloat::IEEEsingle, true))); 2835 } 2836 2837 TEST(APFloatTest, scalbn) { 2838 EXPECT_TRUE( 2839 APFloat(APFloat::IEEEsingle, "0x1p+0") 2840 .bitwiseIsEqual(scalbn(APFloat(APFloat::IEEEsingle, "0x1p+0"), 0))); 2841 EXPECT_TRUE( 2842 APFloat(APFloat::IEEEsingle, "0x1p+42") 2843 .bitwiseIsEqual(scalbn(APFloat(APFloat::IEEEsingle, "0x1p+0"), 42))); 2844 EXPECT_TRUE( 2845 APFloat(APFloat::IEEEsingle, "0x1p-42") 2846 .bitwiseIsEqual(scalbn(APFloat(APFloat::IEEEsingle, "0x1p+0"), -42))); 2847 2848 APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false); 2849 APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true); 2850 APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false); 2851 APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true); 2852 APFloat QPNaN = APFloat::getNaN(APFloat::IEEEsingle, false); 2853 APFloat QMNaN = APFloat::getNaN(APFloat::IEEEsingle, true); 2854 APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle, false); 2855 2856 EXPECT_TRUE(PInf.bitwiseIsEqual(scalbn(PInf, 0))); 2857 EXPECT_TRUE(MInf.bitwiseIsEqual(scalbn(MInf, 0))); 2858 EXPECT_TRUE(PZero.bitwiseIsEqual(scalbn(PZero, 0))); 2859 EXPECT_TRUE(MZero.bitwiseIsEqual(scalbn(MZero, 0))); 2860 EXPECT_TRUE(QPNaN.bitwiseIsEqual(scalbn(QPNaN, 0))); 2861 EXPECT_TRUE(QMNaN.bitwiseIsEqual(scalbn(QMNaN, 0))); 2862 EXPECT_TRUE(SNaN.bitwiseIsEqual(scalbn(SNaN, 0))); 2863 2864 EXPECT_TRUE( 2865 PInf.bitwiseIsEqual(scalbn(APFloat(APFloat::IEEEsingle, "0x1p+0"), 128))); 2866 EXPECT_TRUE(MInf.bitwiseIsEqual( 2867 scalbn(APFloat(APFloat::IEEEsingle, "-0x1p+0"), 128))); 2868 EXPECT_TRUE( 2869 PInf.bitwiseIsEqual(scalbn(APFloat(APFloat::IEEEsingle, "0x1p+127"), 1))); 2870 EXPECT_TRUE(PZero.bitwiseIsEqual( 2871 scalbn(APFloat(APFloat::IEEEsingle, "0x1p+0"), -127))); 2872 EXPECT_TRUE(MZero.bitwiseIsEqual( 2873 scalbn(APFloat(APFloat::IEEEsingle, "-0x1p+0"), -127))); 2874 EXPECT_TRUE(PZero.bitwiseIsEqual( 2875 scalbn(APFloat(APFloat::IEEEsingle, "0x1p-126"), -1))); 2876 EXPECT_TRUE(PZero.bitwiseIsEqual( 2877 scalbn(APFloat(APFloat::IEEEsingle, "0x1p-126"), -1))); 2878 } 2879 } 2880