unittests/ADT/APFloatTest.cpp

   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
 479 TEST(APFloatTest, Denormal) {
 480   APFloat::roundingMode rdmd = APFloat::rmNearestTiesToEven;
 481
 482   // Test single precision
 483   {
 484     const char *MinNormalStr = "1.17549435082228750797e-38";
 485     EXPECT_FALSE(APFloat(APFloat::IEEEsingle, MinNormalStr).isDenormal());
 486     EXPECT_FALSE(APFloat(APFloat::IEEEsingle, 0.0).isDenormal());
 487
 488     APFloat Val2(APFloat::IEEEsingle, 2.0e0);
 489     APFloat T(APFloat::IEEEsingle, MinNormalStr);
 490     T.divide(Val2, rdmd);
 491     EXPECT_TRUE(T.isDenormal());
 492   }
 493
 494   // Test double precision
 495   {
 496     const char *MinNormalStr = "2.22507385850720138309e-308";
 497     EXPECT_FALSE(APFloat(APFloat::IEEEdouble, MinNormalStr).isDenormal());
 498     EXPECT_FALSE(APFloat(APFloat::IEEEdouble, 0.0).isDenormal());
 499
 500     APFloat Val2(APFloat::IEEEdouble, 2.0e0);
 501     APFloat T(APFloat::IEEEdouble, MinNormalStr);
 502     T.divide(Val2, rdmd);
 503     EXPECT_TRUE(T.isDenormal());
 504   }
 505
 506   // Test Intel double-ext
 507   {
 508     const char *MinNormalStr = "3.36210314311209350626e-4932";
 509     EXPECT_FALSE(APFloat(APFloat::x87DoubleExtended, MinNormalStr).isDenormal());
 510     EXPECT_FALSE(APFloat(APFloat::x87DoubleExtended, 0.0).isDenormal());
 511
 512     APFloat Val2(APFloat::x87DoubleExtended, 2.0e0);
 513     APFloat T(APFloat::x87DoubleExtended, MinNormalStr);
 514     T.divide(Val2, rdmd);
 515     EXPECT_TRUE(T.isDenormal());
 516   }
 517
 518   // Test quadruple precision
 519   {
 520     const char *MinNormalStr = "3.36210314311209350626267781732175260e-4932";
 521     EXPECT_FALSE(APFloat(APFloat::IEEEquad, MinNormalStr).isDenormal());
 522     EXPECT_FALSE(APFloat(APFloat::IEEEquad, 0.0).isDenormal());
 523
 524     APFloat Val2(APFloat::IEEEquad, 2.0e0);
 525     APFloat T(APFloat::IEEEquad, MinNormalStr);
 526     T.divide(Val2, rdmd);
 527     EXPECT_TRUE(T.isDenormal());
 528   }
 529 }
 530
 531 TEST(APFloatTest, Zero) {
 532   EXPECT_EQ(0.0f,  APFloat(0.0f).convertToFloat());
 533   EXPECT_EQ(-0.0f, APFloat(-0.0f).convertToFloat());
 534   EXPECT_TRUE(APFloat(-0.0f).isNegative());
 535
 536   EXPECT_EQ(0.0,  APFloat(0.0).convertToDouble());
 537   EXPECT_EQ(-0.0, APFloat(-0.0).convertToDouble());
 538   EXPECT_TRUE(APFloat(-0.0).isNegative());
 539 }
 540
 541 TEST(APFloatTest, fromZeroDecimalString) {
 542   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0").convertToDouble());
 543   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0").convertToDouble());
 544   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0").convertToDouble());
 545
 546   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0.").convertToDouble());
 547   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.").convertToDouble());
 548   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.").convertToDouble());
 549
 550   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  ".0").convertToDouble());
 551   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0").convertToDouble());
 552   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0").convertToDouble());
 553
 554   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0.0").convertToDouble());
 555   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0").convertToDouble());
 556   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0").convertToDouble());
 557
 558   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "00000.").convertToDouble());
 559   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+00000.").convertToDouble());
 560   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-00000.").convertToDouble());
 561
 562   EXPECT_EQ(0.0,  APFloat(APFloat::IEEEdouble, ".00000").convertToDouble());
 563   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.00000").convertToDouble());
 564   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.00000").convertToDouble());
 565
 566   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0000.00000").convertToDouble());
 567   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0000.00000").convertToDouble());
 568   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0000.00000").convertToDouble());
 569 }
 570
 571 TEST(APFloatTest, fromZeroDecimalSingleExponentString) {
 572   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,   "0e1").convertToDouble());
 573   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble,  "+0e1").convertToDouble());
 574   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble,  "-0e1").convertToDouble());
 575
 576   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0e+1").convertToDouble());
 577   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e+1").convertToDouble());
 578   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e+1").convertToDouble());
 579
 580   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0e-1").convertToDouble());
 581   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e-1").convertToDouble());
 582   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e-1").convertToDouble());
 583
 584
 585   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,   "0.e1").convertToDouble());
 586   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble,  "+0.e1").convertToDouble());
 587   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble,  "-0.e1").convertToDouble());
 588
 589   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0.e+1").convertToDouble());
 590   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e+1").convertToDouble());
 591   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e+1").convertToDouble());
 592
 593   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0.e-1").convertToDouble());
 594   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e-1").convertToDouble());
 595   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e-1").convertToDouble());
 596
 597   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,   ".0e1").convertToDouble());
 598   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble,  "+.0e1").convertToDouble());
 599   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble,  "-.0e1").convertToDouble());
 600
 601   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  ".0e+1").convertToDouble());
 602   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e+1").convertToDouble());
 603   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e+1").convertToDouble());
 604
 605   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  ".0e-1").convertToDouble());
 606   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e-1").convertToDouble());
 607   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e-1").convertToDouble());
 608
 609
 610   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,   "0.0e1").convertToDouble());
 611   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble,  "+0.0e1").convertToDouble());
 612   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble,  "-0.0e1").convertToDouble());
 613
 614   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0.0e+1").convertToDouble());
 615   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e+1").convertToDouble());
 616   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e+1").convertToDouble());
 617
 618   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0.0e-1").convertToDouble());
 619   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e-1").convertToDouble());
 620   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e-1").convertToDouble());
 621
 622
 623   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "000.0000e1").convertToDouble());
 624   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+000.0000e+1").convertToDouble());
 625   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-000.0000e+1").convertToDouble());
 626 }
 627
 628 TEST(APFloatTest, fromZeroDecimalLargeExponentString) {
 629   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0e1234").convertToDouble());
 630   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e1234").convertToDouble());
 631   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e1234").convertToDouble());
 632
 633   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0e+1234").convertToDouble());
 634   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e+1234").convertToDouble());
 635   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e+1234").convertToDouble());
 636
 637   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0e-1234").convertToDouble());
 638   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e-1234").convertToDouble());
 639   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e-1234").convertToDouble());
 640
 641   EXPECT_EQ(0.0,  APFloat(APFloat::IEEEdouble, "000.0000e1234").convertToDouble());
 642   EXPECT_EQ(0.0,  APFloat(APFloat::IEEEdouble, "000.0000e-1234").convertToDouble());
 643
 644   EXPECT_EQ(0.0,  APFloat(APFloat::IEEEdouble, StringRef("0e1234\02", 6)).convertToDouble());
 645 }
 646
 647 TEST(APFloatTest, fromZeroHexadecimalString) {
 648   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x0p1").convertToDouble());
 649   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p1").convertToDouble());
 650   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p1").convertToDouble());
 651
 652   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x0p+1").convertToDouble());
 653   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p+1").convertToDouble());
 654   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p+1").convertToDouble());
 655
 656   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x0p-1").convertToDouble());
 657   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p-1").convertToDouble());
 658   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p-1").convertToDouble());
 659
 660
 661   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x0.p1").convertToDouble());
 662   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p1").convertToDouble());
 663   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p1").convertToDouble());
 664
 665   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x0.p+1").convertToDouble());
 666   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p+1").convertToDouble());
 667   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p+1").convertToDouble());
 668
 669   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x0.p-1").convertToDouble());
 670   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p-1").convertToDouble());
 671   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p-1").convertToDouble());
 672
 673
 674   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x.0p1").convertToDouble());
 675   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p1").convertToDouble());
 676   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p1").convertToDouble());
 677
 678   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x.0p+1").convertToDouble());
 679   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p+1").convertToDouble());
 680   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p+1").convertToDouble());
 681
 682   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x.0p-1").convertToDouble());
 683   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p-1").convertToDouble());
 684   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p-1").convertToDouble());
 685
 686
 687   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x0.0p1").convertToDouble());
 688   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p1").convertToDouble());
 689   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p1").convertToDouble());
 690
 691   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x0.0p+1").convertToDouble());
 692   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p+1").convertToDouble());
 693   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p+1").convertToDouble());
 694
 695   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x0.0p-1").convertToDouble());
 696   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p-1").convertToDouble());
 697   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p-1").convertToDouble());
 698
 699
 700   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x00000.p1").convertToDouble());
 701   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0000.00000p1").convertToDouble());
 702   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.00000p1").convertToDouble());
 703   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1").convertToDouble());
 704   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p1234").convertToDouble());
 705   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p1234").convertToDouble());
 706   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x00000.p1234").convertToDouble());
 707   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0000.00000p1234").convertToDouble());
 708   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.00000p1234").convertToDouble());
 709   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1234").convertToDouble());
 710 }
 711
 712 TEST(APFloatTest, fromDecimalString) {
 713   EXPECT_EQ(1.0,      APFloat(APFloat::IEEEdouble, "1").convertToDouble());
 714   EXPECT_EQ(2.0,      APFloat(APFloat::IEEEdouble, "2.").convertToDouble());
 715   EXPECT_EQ(0.5,      APFloat(APFloat::IEEEdouble, ".5").convertToDouble());
 716   EXPECT_EQ(1.0,      APFloat(APFloat::IEEEdouble, "1.0").convertToDouble());
 717   EXPECT_EQ(-2.0,     APFloat(APFloat::IEEEdouble, "-2").convertToDouble());
 718   EXPECT_EQ(-4.0,     APFloat(APFloat::IEEEdouble, "-4.").convertToDouble());
 719   EXPECT_EQ(-0.5,     APFloat(APFloat::IEEEdouble, "-.5").convertToDouble());
 720   EXPECT_EQ(-1.5,     APFloat(APFloat::IEEEdouble, "-1.5").convertToDouble());
 721   EXPECT_EQ(1.25e12,  APFloat(APFloat::IEEEdouble, "1.25e12").convertToDouble());
 722   EXPECT_EQ(1.25e+12, APFloat(APFloat::IEEEdouble, "1.25e+12").convertToDouble());
 723   EXPECT_EQ(1.25e-12, APFloat(APFloat::IEEEdouble, "1.25e-12").convertToDouble());
 724   EXPECT_EQ(1024.0,   APFloat(APFloat::IEEEdouble, "1024.").convertToDouble());
 725   EXPECT_EQ(1024.05,  APFloat(APFloat::IEEEdouble, "1024.05000").convertToDouble());
 726   EXPECT_EQ(0.05,     APFloat(APFloat::IEEEdouble, ".05000").convertToDouble());
 727   EXPECT_EQ(2.0,      APFloat(APFloat::IEEEdouble, "2.").convertToDouble());
 728   EXPECT_EQ(2.0e2,    APFloat(APFloat::IEEEdouble, "2.e2").convertToDouble());
 729   EXPECT_EQ(2.0e+2,   APFloat(APFloat::IEEEdouble, "2.e+2").convertToDouble());
 730   EXPECT_EQ(2.0e-2,   APFloat(APFloat::IEEEdouble, "2.e-2").convertToDouble());
 731   EXPECT_EQ(2.05e2,    APFloat(APFloat::IEEEdouble, "002.05000e2").convertToDouble());
 732   EXPECT_EQ(2.05e+2,   APFloat(APFloat::IEEEdouble, "002.05000e+2").convertToDouble());
 733   EXPECT_EQ(2.05e-2,   APFloat(APFloat::IEEEdouble, "002.05000e-2").convertToDouble());
 734   EXPECT_EQ(2.05e12,   APFloat(APFloat::IEEEdouble, "002.05000e12").convertToDouble());
 735   EXPECT_EQ(2.05e+12,  APFloat(APFloat::IEEEdouble, "002.05000e+12").convertToDouble());
 736   EXPECT_EQ(2.05e-12,  APFloat(APFloat::IEEEdouble, "002.05000e-12").convertToDouble());
 737
 738   // These are "carefully selected" to overflow the fast log-base
 739   // calculations in APFloat.cpp
 740   EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "99e99999").isInfinity());
 741   EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "-99e99999").isInfinity());
 742   EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "1e-99999").isPosZero());
 743   EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "-1e-99999").isNegZero());
 744 }
 745
 746 TEST(APFloatTest, fromHexadecimalString) {
 747   EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble,  "0x1p0").convertToDouble());
 748   EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p0").convertToDouble());
 749   EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p0").convertToDouble());
 750
 751   EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble,  "0x1p+0").convertToDouble());
 752   EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p+0").convertToDouble());
 753   EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p+0").convertToDouble());
 754
 755   EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble,  "0x1p-0").convertToDouble());
 756   EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p-0").convertToDouble());
 757   EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p-0").convertToDouble());
 758
 759
 760   EXPECT_EQ( 2.0, APFloat(APFloat::IEEEdouble,  "0x1p1").convertToDouble());
 761   EXPECT_EQ(+2.0, APFloat(APFloat::IEEEdouble, "+0x1p1").convertToDouble());
 762   EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-0x1p1").convertToDouble());
 763
 764   EXPECT_EQ( 2.0, APFloat(APFloat::IEEEdouble,  "0x1p+1").convertToDouble());
 765   EXPECT_EQ(+2.0, APFloat(APFloat::IEEEdouble, "+0x1p+1").convertToDouble());
 766   EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-0x1p+1").convertToDouble());
 767
 768   EXPECT_EQ( 0.5, APFloat(APFloat::IEEEdouble,  "0x1p-1").convertToDouble());
 769   EXPECT_EQ(+0.5, APFloat(APFloat::IEEEdouble, "+0x1p-1").convertToDouble());
 770   EXPECT_EQ(-0.5, APFloat(APFloat::IEEEdouble, "-0x1p-1").convertToDouble());
 771
 772
 773   EXPECT_EQ( 3.0, APFloat(APFloat::IEEEdouble,  "0x1.8p1").convertToDouble());
 774   EXPECT_EQ(+3.0, APFloat(APFloat::IEEEdouble, "+0x1.8p1").convertToDouble());
 775   EXPECT_EQ(-3.0, APFloat(APFloat::IEEEdouble, "-0x1.8p1").convertToDouble());
 776
 777   EXPECT_EQ( 3.0, APFloat(APFloat::IEEEdouble,  "0x1.8p+1").convertToDouble());
 778   EXPECT_EQ(+3.0, APFloat(APFloat::IEEEdouble, "+0x1.8p+1").convertToDouble());
 779   EXPECT_EQ(-3.0, APFloat(APFloat::IEEEdouble, "-0x1.8p+1").convertToDouble());
 780
 781   EXPECT_EQ( 0.75, APFloat(APFloat::IEEEdouble,  "0x1.8p-1").convertToDouble());
 782   EXPECT_EQ(+0.75, APFloat(APFloat::IEEEdouble, "+0x1.8p-1").convertToDouble());
 783   EXPECT_EQ(-0.75, APFloat(APFloat::IEEEdouble, "-0x1.8p-1").convertToDouble());
 784
 785
 786   EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble,  "0x1000.000p1").convertToDouble());
 787   EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p1").convertToDouble());
 788   EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p1").convertToDouble());
 789
 790   EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble,  "0x1000.000p+1").convertToDouble());
 791   EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p+1").convertToDouble());
 792   EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p+1").convertToDouble());
 793
 794   EXPECT_EQ( 2048.0, APFloat(APFloat::IEEEdouble,  "0x1000.000p-1").convertToDouble());
 795   EXPECT_EQ(+2048.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p-1").convertToDouble());
 796   EXPECT_EQ(-2048.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p-1").convertToDouble());
 797
 798
 799   EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble,  "0x1000p1").convertToDouble());
 800   EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000p1").convertToDouble());
 801   EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000p1").convertToDouble());
 802
 803   EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble,  "0x1000p+1").convertToDouble());
 804   EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000p+1").convertToDouble());
 805   EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000p+1").convertToDouble());
 806
 807   EXPECT_EQ( 2048.0, APFloat(APFloat::IEEEdouble,  "0x1000p-1").convertToDouble());
 808   EXPECT_EQ(+2048.0, APFloat(APFloat::IEEEdouble, "+0x1000p-1").convertToDouble());
 809   EXPECT_EQ(-2048.0, APFloat(APFloat::IEEEdouble, "-0x1000p-1").convertToDouble());
 810
 811
 812   EXPECT_EQ( 16384.0, APFloat(APFloat::IEEEdouble,  "0x10p10").convertToDouble());
 813   EXPECT_EQ(+16384.0, APFloat(APFloat::IEEEdouble, "+0x10p10").convertToDouble());
 814   EXPECT_EQ(-16384.0, APFloat(APFloat::IEEEdouble, "-0x10p10").convertToDouble());
 815
 816   EXPECT_EQ( 16384.0, APFloat(APFloat::IEEEdouble,  "0x10p+10").convertToDouble());
 817   EXPECT_EQ(+16384.0, APFloat(APFloat::IEEEdouble, "+0x10p+10").convertToDouble());
 818   EXPECT_EQ(-16384.0, APFloat(APFloat::IEEEdouble, "-0x10p+10").convertToDouble());
 819
 820   EXPECT_EQ( 0.015625, APFloat(APFloat::IEEEdouble,  "0x10p-10").convertToDouble());
 821   EXPECT_EQ(+0.015625, APFloat(APFloat::IEEEdouble, "+0x10p-10").convertToDouble());
 822   EXPECT_EQ(-0.015625, APFloat(APFloat::IEEEdouble, "-0x10p-10").convertToDouble());
 823
 824   EXPECT_EQ(1.0625, APFloat(APFloat::IEEEdouble, "0x1.1p0").convertToDouble());
 825   EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "0x1p0").convertToDouble());
 826
 827   EXPECT_EQ(2.71828, convertToDoubleFromString("2.71828"));
 828 }
 829
 830 TEST(APFloatTest, toString) {
 831   ASSERT_EQ("10", convertToString(10.0, 6, 3));
 832   ASSERT_EQ("1.0E+1", convertToString(10.0, 6, 0));
 833   ASSERT_EQ("10100", convertToString(1.01E+4, 5, 2));
 834   ASSERT_EQ("1.01E+4", convertToString(1.01E+4, 4, 2));
 835   ASSERT_EQ("1.01E+4", convertToString(1.01E+4, 5, 1));
 836   ASSERT_EQ("0.0101", convertToString(1.01E-2, 5, 2));
 837   ASSERT_EQ("0.0101", convertToString(1.01E-2, 4, 2));
 838   ASSERT_EQ("1.01E-2", convertToString(1.01E-2, 5, 1));
 839   ASSERT_EQ("0.7853981633974483", convertToString(0.78539816339744830961, 0, 3));
 840   ASSERT_EQ("4.940656458412465E-324", convertToString(4.9406564584124654e-324, 0, 3));
 841   ASSERT_EQ("873.1834", convertToString(873.1834, 0, 1));
 842   ASSERT_EQ("8.731834E+2", convertToString(873.1834, 0, 0));
 843 }
 844
 845 TEST(APFloatTest, toInteger) {
 846   bool isExact = false;
 847   APSInt result(5, /*isUnsigned=*/true);
 848
 849   EXPECT_EQ(APFloat::opOK,
 850             APFloat(APFloat::IEEEdouble, "10")
 851             .convertToInteger(result, APFloat::rmTowardZero, &isExact));
 852   EXPECT_TRUE(isExact);
 853   EXPECT_EQ(APSInt(APInt(5, 10), true), result);
 854
 855   EXPECT_EQ(APFloat::opInvalidOp,
 856             APFloat(APFloat::IEEEdouble, "-10")
 857             .convertToInteger(result, APFloat::rmTowardZero, &isExact));
 858   EXPECT_FALSE(isExact);
 859   EXPECT_EQ(APSInt::getMinValue(5, true), result);
 860
 861   EXPECT_EQ(APFloat::opInvalidOp,
 862             APFloat(APFloat::IEEEdouble, "32")
 863             .convertToInteger(result, APFloat::rmTowardZero, &isExact));
 864   EXPECT_FALSE(isExact);
 865   EXPECT_EQ(APSInt::getMaxValue(5, true), result);
 866
 867   EXPECT_EQ(APFloat::opInexact,
 868             APFloat(APFloat::IEEEdouble, "7.9")
 869             .convertToInteger(result, APFloat::rmTowardZero, &isExact));
 870   EXPECT_FALSE(isExact);
 871   EXPECT_EQ(APSInt(APInt(5, 7), true), result);
 872
 873   result.setIsUnsigned(false);
 874   EXPECT_EQ(APFloat::opOK,
 875             APFloat(APFloat::IEEEdouble, "-10")
 876             .convertToInteger(result, APFloat::rmTowardZero, &isExact));
 877   EXPECT_TRUE(isExact);
 878   EXPECT_EQ(APSInt(APInt(5, -10, true), false), result);
 879
 880   EXPECT_EQ(APFloat::opInvalidOp,
 881             APFloat(APFloat::IEEEdouble, "-17")
 882             .convertToInteger(result, APFloat::rmTowardZero, &isExact));
 883   EXPECT_FALSE(isExact);
 884   EXPECT_EQ(APSInt::getMinValue(5, false), result);
 885
 886   EXPECT_EQ(APFloat::opInvalidOp,
 887             APFloat(APFloat::IEEEdouble, "16")
 888             .convertToInteger(result, APFloat::rmTowardZero, &isExact));
 889   EXPECT_FALSE(isExact);
 890   EXPECT_EQ(APSInt::getMaxValue(5, false), result);
 891 }
 892
 893 static APInt nanbits(const fltSemantics &Sem,
 894                      bool SNaN, bool Negative, uint64_t fill) {
 895   APInt apfill(64, fill);
 896   if (SNaN)
 897     return APFloat::getSNaN(Sem, Negative, &apfill).bitcastToAPInt();
 898   else
 899     return APFloat::getQNaN(Sem, Negative, &apfill).bitcastToAPInt();
 900 }
 901
 902 TEST(APFloatTest, makeNaN) {
 903   ASSERT_EQ(0x7fc00000, nanbits(APFloat::IEEEsingle, false, false, 0));
 904   ASSERT_EQ(0xffc00000, nanbits(APFloat::IEEEsingle, false, true, 0));
 905   ASSERT_EQ(0x7fc0ae72, nanbits(APFloat::IEEEsingle, false, false, 0xae72));
 906   ASSERT_EQ(0x7fffae72, nanbits(APFloat::IEEEsingle, false, false, 0xffffae72));
 907   ASSERT_EQ(0x7fa00000, nanbits(APFloat::IEEEsingle, true, false, 0));
 908   ASSERT_EQ(0xffa00000, nanbits(APFloat::IEEEsingle, true, true, 0));
 909   ASSERT_EQ(0x7f80ae72, nanbits(APFloat::IEEEsingle, true, false, 0xae72));
 910   ASSERT_EQ(0x7fbfae72, nanbits(APFloat::IEEEsingle, true, false, 0xffffae72));
 911
 912   ASSERT_EQ(0x7ff8000000000000ULL, nanbits(APFloat::IEEEdouble, false, false, 0));
 913   ASSERT_EQ(0xfff8000000000000ULL, nanbits(APFloat::IEEEdouble, false, true, 0));
 914   ASSERT_EQ(0x7ff800000000ae72ULL, nanbits(APFloat::IEEEdouble, false, false, 0xae72));
 915   ASSERT_EQ(0x7fffffffffffae72ULL, nanbits(APFloat::IEEEdouble, false, false, 0xffffffffffffae72ULL));
 916   ASSERT_EQ(0x7ff4000000000000ULL, nanbits(APFloat::IEEEdouble, true, false, 0));
 917   ASSERT_EQ(0xfff4000000000000ULL, nanbits(APFloat::IEEEdouble, true, true, 0));
 918   ASSERT_EQ(0x7ff000000000ae72ULL, nanbits(APFloat::IEEEdouble, true, false, 0xae72));
 919   ASSERT_EQ(0x7ff7ffffffffae72ULL, nanbits(APFloat::IEEEdouble, true, false, 0xffffffffffffae72ULL));
 920 }
 921
 922 #ifdef GTEST_HAS_DEATH_TEST
 923 #ifndef NDEBUG
 924 TEST(APFloatTest, SemanticsDeath) {
 925   EXPECT_DEATH(APFloat(APFloat::IEEEsingle, 0.0f).convertToDouble(), "Float semantics are not IEEEdouble");
 926   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, 0.0 ).convertToFloat(),  "Float semantics are not IEEEsingle");
 927 }
 928
 929 TEST(APFloatTest, StringDecimalDeath) {
 930   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  ""), "Invalid string length");
 931   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+"), "String has no digits");
 932   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-"), "String has no digits");
 933
 934   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("\0", 1)), "Invalid character in significand");
 935   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\0", 2)), "Invalid character in significand");
 936   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\02", 3)), "Invalid character in significand");
 937   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\02e1", 5)), "Invalid character in significand");
 938   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e\0", 3)), "Invalid character in exponent");
 939   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e1\0", 4)), "Invalid character in exponent");
 940   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e1\02", 5)), "Invalid character in exponent");
 941
 942   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0f"), "Invalid character in significand");
 943
 944   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".."), "String contains multiple dots");
 945   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "..0"), "String contains multiple dots");
 946   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0.0"), "String contains multiple dots");
 947 }
 948
 949 TEST(APFloatTest, StringDecimalSignificandDeath) {
 950   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "."), "Significand has no digits");
 951   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+."), "Significand has no digits");
 952   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-."), "Significand has no digits");
 953
 954
 955   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "e"), "Significand has no digits");
 956   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+e"), "Significand has no digits");
 957   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-e"), "Significand has no digits");
 958
 959   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "e1"), "Significand has no digits");
 960   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+e1"), "Significand has no digits");
 961   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-e1"), "Significand has no digits");
 962
 963   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  ".e1"), "Significand has no digits");
 964   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.e1"), "Significand has no digits");
 965   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.e1"), "Significand has no digits");
 966
 967
 968   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  ".e"), "Significand has no digits");
 969   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.e"), "Significand has no digits");
 970   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.e"), "Significand has no digits");
 971 }
 972
 973 TEST(APFloatTest, StringDecimalExponentDeath) {
 974   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,   "1e"), "Exponent has no digits");
 975   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "+1e"), "Exponent has no digits");
 976   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "-1e"), "Exponent has no digits");
 977
 978   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,   "1.e"), "Exponent has no digits");
 979   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "+1.e"), "Exponent has no digits");
 980   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "-1.e"), "Exponent has no digits");
 981
 982   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,   ".1e"), "Exponent has no digits");
 983   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "+.1e"), "Exponent has no digits");
 984   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "-.1e"), "Exponent has no digits");
 985
 986   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,   "1.1e"), "Exponent has no digits");
 987   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "+1.1e"), "Exponent has no digits");
 988   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "-1.1e"), "Exponent has no digits");
 989
 990
 991   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e+"), "Exponent has no digits");
 992   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e-"), "Exponent has no digits");
 993
 994   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  ".1e"), "Exponent has no digits");
 995   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e+"), "Exponent has no digits");
 996   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e-"), "Exponent has no digits");
 997
 998   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "1.0e"), "Exponent has no digits");
 999   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e+"), "Exponent has no digits");
1000   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e-"), "Exponent has no digits");
1001 }
1002
1003 TEST(APFloatTest, StringHexadecimalDeath) {
1004   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x"), "Invalid string");
1005   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x"), "Invalid string");
1006   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x"), "Invalid string");
1007
1008   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x0"), "Hex strings require an exponent");
1009   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0"), "Hex strings require an exponent");
1010   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0"), "Hex strings require an exponent");
1011
1012   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x0."), "Hex strings require an exponent");
1013   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0."), "Hex strings require an exponent");
1014   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0."), "Hex strings require an exponent");
1015
1016   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x.0"), "Hex strings require an exponent");
1017   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.0"), "Hex strings require an exponent");
1018   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.0"), "Hex strings require an exponent");
1019
1020   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x0.0"), "Hex strings require an exponent");
1021   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0.0"), "Hex strings require an exponent");
1022   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0.0"), "Hex strings require an exponent");
1023
1024   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x\0", 3)), "Invalid character in significand");
1025   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\0", 4)), "Invalid character in significand");
1026   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\02", 5)), "Invalid character in significand");
1027   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\02p1", 7)), "Invalid character in significand");
1028   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p\0", 5)), "Invalid character in exponent");
1029   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p1\0", 6)), "Invalid character in exponent");
1030   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p1\02", 7)), "Invalid character in exponent");
1031
1032   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p0f"), "Invalid character in exponent");
1033
1034   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x..p1"), "String contains multiple dots");
1035   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x..0p1"), "String contains multiple dots");
1036   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.0.0p1"), "String contains multiple dots");
1037 }
1038
1039 TEST(APFloatTest, StringHexadecimalSignificandDeath) {
1040   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x."), "Significand has no digits");
1041   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x."), "Significand has no digits");
1042   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x."), "Significand has no digits");
1043
1044   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0xp"), "Significand has no digits");
1045   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp"), "Significand has no digits");
1046   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp"), "Significand has no digits");
1047
1048   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0xp+"), "Significand has no digits");
1049   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp+"), "Significand has no digits");
1050   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp+"), "Significand has no digits");
1051
1052   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0xp-"), "Significand has no digits");
1053   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp-"), "Significand has no digits");
1054   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp-"), "Significand has no digits");
1055
1056
1057   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x.p"), "Significand has no digits");
1058   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p"), "Significand has no digits");
1059   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p"), "Significand has no digits");
1060
1061   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x.p+"), "Significand has no digits");
1062   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p+"), "Significand has no digits");
1063   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p+"), "Significand has no digits");
1064
1065   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x.p-"), "Significand has no digits");
1066   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p-"), "Significand has no digits");
1067   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p-"), "Significand has no digits");
1068 }
1069
1070 TEST(APFloatTest, StringHexadecimalExponentDeath) {
1071   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x1p"), "Exponent has no digits");
1072   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p"), "Exponent has no digits");
1073   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p"), "Exponent has no digits");
1074
1075   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x1p+"), "Exponent has no digits");
1076   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p+"), "Exponent has no digits");
1077   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p+"), "Exponent has no digits");
1078
1079   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x1p-"), "Exponent has no digits");
1080   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p-"), "Exponent has no digits");
1081   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p-"), "Exponent has no digits");
1082
1083
1084   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x1.p"), "Exponent has no digits");
1085   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p"), "Exponent has no digits");
1086   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p"), "Exponent has no digits");
1087
1088   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x1.p+"), "Exponent has no digits");
1089   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p+"), "Exponent has no digits");
1090   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p+"), "Exponent has no digits");
1091
1092   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x1.p-"), "Exponent has no digits");
1093   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p-"), "Exponent has no digits");
1094   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p-"), "Exponent has no digits");
1095
1096
1097   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x.1p"), "Exponent has no digits");
1098   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p"), "Exponent has no digits");
1099   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p"), "Exponent has no digits");
1100
1101   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x.1p+"), "Exponent has no digits");
1102   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p+"), "Exponent has no digits");
1103   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p+"), "Exponent has no digits");
1104
1105   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x.1p-"), "Exponent has no digits");
1106   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p-"), "Exponent has no digits");
1107   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p-"), "Exponent has no digits");
1108
1109
1110   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x1.1p"), "Exponent has no digits");
1111   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p"), "Exponent has no digits");
1112   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p"), "Exponent has no digits");
1113
1114   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x1.1p+"), "Exponent has no digits");
1115   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p+"), "Exponent has no digits");
1116   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p+"), "Exponent has no digits");
1117
1118   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x1.1p-"), "Exponent has no digits");
1119   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p-"), "Exponent has no digits");
1120   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p-"), "Exponent has no digits");
1121 }
1122 #endif
1123 #endif
1124
1125 TEST(APFloatTest, exactInverse) {
1126   APFloat inv(0.0f);
1127
1128   // Trivial operation.
1129   EXPECT_TRUE(APFloat(2.0).getExactInverse(&inv));
1130   EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(0.5)));
1131   EXPECT_TRUE(APFloat(2.0f).getExactInverse(&inv));
1132   EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(0.5f)));
1133   EXPECT_TRUE(APFloat(APFloat::IEEEquad, "2.0").getExactInverse(&inv));
1134   EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::IEEEquad, "0.5")));
1135   EXPECT_TRUE(APFloat(APFloat::PPCDoubleDouble, "2.0").getExactInverse(&inv));
1136   EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::PPCDoubleDouble, "0.5")));
1137   EXPECT_TRUE(APFloat(APFloat::x87DoubleExtended, "2.0").getExactInverse(&inv));
1138   EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::x87DoubleExtended, "0.5")));
1139
1140   // FLT_MIN
1141   EXPECT_TRUE(APFloat(1.17549435e-38f).getExactInverse(&inv));
1142   EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(8.5070592e+37f)));
1143
1144   // Large float, inverse is a denormal.
1145   EXPECT_FALSE(APFloat(1.7014118e38f).getExactInverse(0));
1146   // Zero
1147   EXPECT_FALSE(APFloat(0.0).getExactInverse(0));
1148   // Denormalized float
1149   EXPECT_FALSE(APFloat(1.40129846e-45f).getExactInverse(0));
1150 }
1151
1152 TEST(APFloatTest, roundToIntegral) {
1153   APFloat T(-0.5), S(3.14), R(APFloat::getLargest(APFloat::IEEEdouble)), P(0.0);
1154
1155   P = T;
1156   P.roundToIntegral(APFloat::rmTowardZero);
1157   EXPECT_EQ(-0.0, P.convertToDouble());
1158   P = T;
1159   P.roundToIntegral(APFloat::rmTowardNegative);
1160   EXPECT_EQ(-1.0, P.convertToDouble());
1161   P = T;
1162   P.roundToIntegral(APFloat::rmTowardPositive);
1163   EXPECT_EQ(-0.0, P.convertToDouble());
1164   P = T;
1165   P.roundToIntegral(APFloat::rmNearestTiesToEven);
1166   EXPECT_EQ(-0.0, P.convertToDouble());
1167
1168   P = S;
1169   P.roundToIntegral(APFloat::rmTowardZero);
1170   EXPECT_EQ(3.0, P.convertToDouble());
1171   P = S;
1172   P.roundToIntegral(APFloat::rmTowardNegative);
1173   EXPECT_EQ(3.0, P.convertToDouble());
1174   P = S;
1175   P.roundToIntegral(APFloat::rmTowardPositive);
1176   EXPECT_EQ(4.0, P.convertToDouble());
1177   P = S;
1178   P.roundToIntegral(APFloat::rmNearestTiesToEven);
1179   EXPECT_EQ(3.0, P.convertToDouble());
1180
1181   P = R;
1182   P.roundToIntegral(APFloat::rmTowardZero);
1183   EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
1184   P = R;
1185   P.roundToIntegral(APFloat::rmTowardNegative);
1186   EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
1187   P = R;
1188   P.roundToIntegral(APFloat::rmTowardPositive);
1189   EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
1190   P = R;
1191   P.roundToIntegral(APFloat::rmNearestTiesToEven);
1192   EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
1193
1194   P = APFloat::getZero(APFloat::IEEEdouble);
1195   P.roundToIntegral(APFloat::rmTowardZero);
1196   EXPECT_EQ(0.0, P.convertToDouble());
1197   P = APFloat::getZero(APFloat::IEEEdouble, true);
1198   P.roundToIntegral(APFloat::rmTowardZero);
1199   EXPECT_EQ(-0.0, P.convertToDouble());
1200   P = APFloat::getNaN(APFloat::IEEEdouble);
1201   P.roundToIntegral(APFloat::rmTowardZero);
1202   EXPECT_TRUE(IsNAN(P.convertToDouble()));
1203   P = APFloat::getInf(APFloat::IEEEdouble);
1204   P.roundToIntegral(APFloat::rmTowardZero);
1205   EXPECT_TRUE(IsInf(P.convertToDouble()) && P.convertToDouble() > 0.0);
1206   P = APFloat::getInf(APFloat::IEEEdouble, true);
1207   P.roundToIntegral(APFloat::rmTowardZero);
1208   EXPECT_TRUE(IsInf(P.convertToDouble()) && P.convertToDouble() < 0.0);
1209
1210 }
1211
1212 TEST(APFloatTest, getLargest) {
1213   EXPECT_EQ(3.402823466e+38f, APFloat::getLargest(APFloat::IEEEsingle).convertToFloat());
1214   EXPECT_EQ(1.7976931348623158e+308, APFloat::getLargest(APFloat::IEEEdouble).convertToDouble());
1215 }
1216
1217 TEST(APFloatTest, getSmallest) {
1218   APFloat test = APFloat::getSmallest(APFloat::IEEEsingle, false);
1219   APFloat expected = APFloat(APFloat::IEEEsingle, "0x0.000002p-126");
1220   EXPECT_FALSE(test.isNegative());
1221   EXPECT_TRUE(test.isNormal());
1222   EXPECT_TRUE(test.isDenormal());
1223   EXPECT_TRUE(test.bitwiseIsEqual(expected));
1224
1225   test = APFloat::getSmallest(APFloat::IEEEsingle, true);
1226   expected = APFloat(APFloat::IEEEsingle, "-0x0.000002p-126");
1227   EXPECT_TRUE(test.isNegative());
1228   EXPECT_TRUE(test.isNormal());
1229   EXPECT_TRUE(test.isDenormal());
1230   EXPECT_TRUE(test.bitwiseIsEqual(expected));
1231
1232   test = APFloat::getSmallest(APFloat::IEEEquad, false);
1233   expected = APFloat(APFloat::IEEEquad, "0x0.0000000000000000000000000001p-16382");
1234   EXPECT_FALSE(test.isNegative());
1235   EXPECT_TRUE(test.isNormal());
1236   EXPECT_TRUE(test.isDenormal());
1237   EXPECT_TRUE(test.bitwiseIsEqual(expected));
1238
1239   test = APFloat::getSmallest(APFloat::IEEEquad, true);
1240   expected = APFloat(APFloat::IEEEquad, "-0x0.0000000000000000000000000001p-16382");
1241   EXPECT_TRUE(test.isNegative());
1242   EXPECT_TRUE(test.isNormal());
1243   EXPECT_TRUE(test.isDenormal());
1244   EXPECT_TRUE(test.bitwiseIsEqual(expected));
1245 }
1246
1247 TEST(APFloatTest, getSmallestNormalized) {
1248   APFloat test = APFloat::getSmallestNormalized(APFloat::IEEEsingle, false);
1249   APFloat expected = APFloat(APFloat::IEEEsingle, "0x1p-126");
1250   EXPECT_FALSE(test.isNegative());
1251   EXPECT_TRUE(test.isNormal());
1252   EXPECT_FALSE(test.isDenormal());
1253   EXPECT_TRUE(test.bitwiseIsEqual(expected));
1254
1255   test = APFloat::getSmallestNormalized(APFloat::IEEEsingle, true);
1256   expected = APFloat(APFloat::IEEEsingle, "-0x1p-126");
1257   EXPECT_TRUE(test.isNegative());
1258   EXPECT_TRUE(test.isNormal());
1259   EXPECT_FALSE(test.isDenormal());
1260   EXPECT_TRUE(test.bitwiseIsEqual(expected));
1261
1262   test = APFloat::getSmallestNormalized(APFloat::IEEEquad, false);
1263   expected = APFloat(APFloat::IEEEquad, "0x1p-16382");
1264   EXPECT_FALSE(test.isNegative());
1265   EXPECT_TRUE(test.isNormal());
1266   EXPECT_FALSE(test.isDenormal());
1267   EXPECT_TRUE(test.bitwiseIsEqual(expected));
1268
1269   test = APFloat::getSmallestNormalized(APFloat::IEEEquad, true);
1270   expected = APFloat(APFloat::IEEEquad, "-0x1p-16382");
1271   EXPECT_TRUE(test.isNegative());
1272   EXPECT_TRUE(test.isNormal());
1273   EXPECT_FALSE(test.isDenormal());
1274   EXPECT_TRUE(test.bitwiseIsEqual(expected));
1275 }
1276
1277 TEST(APFloatTest, getZero) {
1278   struct {
1279     const fltSemantics *semantics;
1280     const bool sign;
1281     const unsigned long long bitPattern[2];
1282     const unsigned bitPatternLength;
1283   } const GetZeroTest[] = {
1284     { &APFloat::IEEEhalf, false, {0, 0}, 1},
1285     { &APFloat::IEEEhalf, true, {0x8000ULL, 0}, 1},
1286     { &APFloat::IEEEsingle, false, {0, 0}, 1},
1287     { &APFloat::IEEEsingle, true, {0x80000000ULL, 0}, 1},
1288     { &APFloat::IEEEdouble, false, {0, 0}, 1},
1289     { &APFloat::IEEEdouble, true, {0x8000000000000000ULL, 0}, 1},
1290     { &APFloat::IEEEquad, false, {0, 0}, 2},
1291     { &APFloat::IEEEquad, true, {0, 0x8000000000000000ULL}, 2},
1292     { &APFloat::PPCDoubleDouble, false, {0, 0}, 2},
1293     { &APFloat::PPCDoubleDouble, true, {0x8000000000000000ULL, 0}, 2},
1294     { &APFloat::x87DoubleExtended, false, {0, 0}, 2},
1295     { &APFloat::x87DoubleExtended, true, {0, 0x8000ULL}, 2},
1296   };
1297   const unsigned NumGetZeroTests = 12;
1298   for (unsigned i = 0; i < NumGetZeroTests; ++i) {
1299     APFloat test = APFloat::getZero(*GetZeroTest[i].semantics,
1300                                     GetZeroTest[i].sign);
1301     const char *pattern = GetZeroTest[i].sign? "-0x0p+0" : "0x0p+0";
1302     APFloat expected = APFloat(*GetZeroTest[i].semantics,
1303                                pattern);
1304     EXPECT_TRUE(test.isZero());
1305     EXPECT_TRUE(GetZeroTest[i].sign? test.isNegative() : !test.isNegative());
1306     EXPECT_TRUE(test.bitwiseIsEqual(expected));
1307     for (unsigned j = 0, je = GetZeroTest[i].bitPatternLength; j < je; ++j) {
1308       EXPECT_EQ(GetZeroTest[i].bitPattern[j],
1309                 test.bitcastToAPInt().getRawData()[j]);
1310     }
1311   }
1312 }
1313
1314 TEST(APFloatTest, convert) {
1315   bool losesInfo;
1316   APFloat test(APFloat::IEEEdouble, "1.0");
1317   test.convert(APFloat::IEEEsingle, APFloat::rmNearestTiesToEven, &losesInfo);
1318   EXPECT_EQ(1.0f, test.convertToFloat());
1319   EXPECT_FALSE(losesInfo);
1320
1321   test = APFloat(APFloat::x87DoubleExtended, "0x1p-53");
1322   test.add(APFloat(APFloat::x87DoubleExtended, "1.0"), APFloat::rmNearestTiesToEven);
1323   test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo);
1324   EXPECT_EQ(1.0, test.convertToDouble());
1325   EXPECT_TRUE(losesInfo);
1326
1327   test = APFloat(APFloat::IEEEquad, "0x1p-53");
1328   test.add(APFloat(APFloat::IEEEquad, "1.0"), APFloat::rmNearestTiesToEven);
1329   test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo);
1330   EXPECT_EQ(1.0, test.convertToDouble());
1331   EXPECT_TRUE(losesInfo);
1332
1333   test = APFloat(APFloat::x87DoubleExtended, "0xf.fffffffp+28");
1334   test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo);
1335   EXPECT_EQ(4294967295.0, test.convertToDouble());
1336   EXPECT_FALSE(losesInfo);
1337
1338   test = APFloat::getSNaN(APFloat::IEEEsingle);
1339   APFloat X87SNaN = APFloat::getSNaN(APFloat::x87DoubleExtended);
1340   test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
1341                &losesInfo);
1342   EXPECT_TRUE(test.bitwiseIsEqual(X87SNaN));
1343   EXPECT_FALSE(losesInfo);
1344
1345   test = APFloat::getQNaN(APFloat::IEEEsingle);
1346   APFloat X87QNaN = APFloat::getQNaN(APFloat::x87DoubleExtended);
1347   test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
1348                &losesInfo);
1349   EXPECT_TRUE(test.bitwiseIsEqual(X87QNaN));
1350   EXPECT_FALSE(losesInfo);
1351
1352   test = APFloat::getSNaN(APFloat::x87DoubleExtended);
1353   test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
1354                &losesInfo);
1355   EXPECT_TRUE(test.bitwiseIsEqual(X87SNaN));
1356   EXPECT_FALSE(losesInfo);
1357
1358   test = APFloat::getQNaN(APFloat::x87DoubleExtended);
1359   test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
1360                &losesInfo);
1361   EXPECT_TRUE(test.bitwiseIsEqual(X87QNaN));
1362   EXPECT_FALSE(losesInfo);
1363 }
1364
1365 TEST(APFloatTest, PPCDoubleDouble) {
1366   APFloat test(APFloat::PPCDoubleDouble, "1.0");
1367   EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]);
1368   EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]);
1369
1370   test.divide(APFloat(APFloat::PPCDoubleDouble, "3.0"), APFloat::rmNearestTiesToEven);
1371   EXPECT_EQ(0x3fd5555555555555ull, test.bitcastToAPInt().getRawData()[0]);
1372   EXPECT_EQ(0x3c75555555555556ull, test.bitcastToAPInt().getRawData()[1]);
1373
1374   // LDBL_MAX
1375   test = APFloat(APFloat::PPCDoubleDouble, "1.79769313486231580793728971405301e+308");
1376   EXPECT_EQ(0x7fefffffffffffffull, test.bitcastToAPInt().getRawData()[0]);
1377   EXPECT_EQ(0x7c8ffffffffffffeull, test.bitcastToAPInt().getRawData()[1]);
1378
1379   // LDBL_MIN
1380   test = APFloat(APFloat::PPCDoubleDouble, "2.00416836000897277799610805135016e-292");
1381   EXPECT_EQ(0x0360000000000000ull, test.bitcastToAPInt().getRawData()[0]);
1382   EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]);
1383
1384   test = APFloat(APFloat::PPCDoubleDouble, "1.0");
1385   test.add(APFloat(APFloat::PPCDoubleDouble, "0x1p-105"), APFloat::rmNearestTiesToEven);
1386   EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]);
1387   EXPECT_EQ(0x3960000000000000ull, test.bitcastToAPInt().getRawData()[1]);
1388
1389   test = APFloat(APFloat::PPCDoubleDouble, "1.0");
1390   test.add(APFloat(APFloat::PPCDoubleDouble, "0x1p-106"), APFloat::rmNearestTiesToEven);
1391   EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]);
1392 #if 0 // XFAIL
1393   // This is what we would expect with a true double-double implementation
1394   EXPECT_EQ(0x3950000000000000ull, test.bitcastToAPInt().getRawData()[1]);
1395 #else
1396   // This is what we get with our 106-bit mantissa approximation
1397   EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]);
1398 #endif
1399 }
1400
1401 TEST(APFloatTest, isNegative) {
1402   APFloat t(APFloat::IEEEsingle, "0x1p+0");
1403   EXPECT_FALSE(t.isNegative());
1404   t = APFloat(APFloat::IEEEsingle, "-0x1p+0");
1405   EXPECT_TRUE(t.isNegative());
1406
1407   EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isNegative());
1408   EXPECT_TRUE(APFloat::getInf(APFloat::IEEEsingle, true).isNegative());
1409
1410   EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isNegative());
1411   EXPECT_TRUE(APFloat::getZero(APFloat::IEEEsingle, true).isNegative());
1412
1413   EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isNegative());
1414   EXPECT_TRUE(APFloat::getNaN(APFloat::IEEEsingle, true).isNegative());
1415
1416   EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isNegative());
1417   EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, true).isNegative());
1418 }
1419
1420 TEST(APFloatTest, isIEEENormal) {
1421   APFloat t(APFloat::IEEEsingle, "0x1p+0");
1422   EXPECT_TRUE(t.isIEEENormal());
1423
1424   EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isIEEENormal());
1425   EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isIEEENormal());
1426   EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isIEEENormal());
1427   EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isIEEENormal());
1428   EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-159").isIEEENormal());
1429 }
1430
1431 TEST(APFloatTest, isFinite) {
1432   APFloat t(APFloat::IEEEsingle, "0x1p+0");
1433   EXPECT_TRUE(t.isFinite());
1434   EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isFinite());
1435   EXPECT_TRUE(APFloat::getZero(APFloat::IEEEsingle, false).isFinite());
1436   EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isFinite());
1437   EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isFinite());
1438   EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "0x1p-159").isFinite());
1439 }
1440
1441 TEST(APFloatTest, isInfinity) {
1442   APFloat t(APFloat::IEEEsingle, "0x1p+0");
1443   EXPECT_FALSE(t.isInfinity());
1444   EXPECT_TRUE(APFloat::getInf(APFloat::IEEEsingle, false).isInfinity());
1445   EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isInfinity());
1446   EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isInfinity());
1447   EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isInfinity());
1448   EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-159").isInfinity());
1449 }
1450
1451 TEST(APFloatTest, isNaN) {
1452   APFloat t(APFloat::IEEEsingle, "0x1p+0");
1453   EXPECT_FALSE(t.isNaN());
1454   EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isNaN());
1455   EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isNaN());
1456   EXPECT_TRUE(APFloat::getNaN(APFloat::IEEEsingle, false).isNaN());
1457   EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, false).isNaN());
1458   EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-159").isNaN());
1459 }
1460
1461 }