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, FMA) {
  37   APFloat::roundingMode rdmd = APFloat::rmNearestTiesToEven;
  38
  39   {
  40     APFloat f1(14.5f);
  41     APFloat f2(-14.5f);
  42     APFloat f3(225.0f);
  43     f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven);
  44     EXPECT_EQ(14.75f, f1.convertToFloat());
  45   }
  46
  47   {
  48     APFloat Val2(2.0f);
  49     APFloat f1((float)1.17549435e-38F);
  50     APFloat f2((float)1.17549435e-38F);
  51     f1.divide(Val2, rdmd);
  52     f2.divide(Val2, rdmd);
  53     APFloat f3(12.0f);
  54     f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven);
  55     EXPECT_EQ(12.0f, f1.convertToFloat());
  56   }
  57 }
  58
  59 TEST(APFloatTest, Denormal) {
  60   APFloat::roundingMode rdmd = APFloat::rmNearestTiesToEven;
  61
  62   // Test single precision
  63   {
  64     const char *MinNormalStr = "1.17549435082228750797e-38";
  65     EXPECT_FALSE(APFloat(APFloat::IEEEsingle, MinNormalStr).isDenormal());
  66     EXPECT_FALSE(APFloat(APFloat::IEEEsingle, 0.0).isDenormal());
  67
  68     APFloat Val2(APFloat::IEEEsingle, 2.0e0);
  69     APFloat T(APFloat::IEEEsingle, MinNormalStr);
  70     T.divide(Val2, rdmd);
  71     EXPECT_TRUE(T.isDenormal());
  72   }
  73
  74   // Test double precision
  75   {
  76     const char *MinNormalStr = "2.22507385850720138309e-308";
  77     EXPECT_FALSE(APFloat(APFloat::IEEEdouble, MinNormalStr).isDenormal());
  78     EXPECT_FALSE(APFloat(APFloat::IEEEdouble, 0.0).isDenormal());
  79
  80     APFloat Val2(APFloat::IEEEdouble, 2.0e0);
  81     APFloat T(APFloat::IEEEdouble, MinNormalStr);
  82     T.divide(Val2, rdmd);
  83     EXPECT_TRUE(T.isDenormal());
  84   }
  85
  86   // Test Intel double-ext
  87   {
  88     const char *MinNormalStr = "3.36210314311209350626e-4932";
  89     EXPECT_FALSE(APFloat(APFloat::x87DoubleExtended, MinNormalStr).isDenormal());
  90     EXPECT_FALSE(APFloat(APFloat::x87DoubleExtended, 0.0).isDenormal());
  91
  92     APFloat Val2(APFloat::x87DoubleExtended, 2.0e0);
  93     APFloat T(APFloat::x87DoubleExtended, MinNormalStr);
  94     T.divide(Val2, rdmd);
  95     EXPECT_TRUE(T.isDenormal());
  96   }
  97
  98   // Test quadruple precision
  99   {
 100     const char *MinNormalStr = "3.36210314311209350626267781732175260e-4932";
 101     EXPECT_FALSE(APFloat(APFloat::IEEEquad, MinNormalStr).isDenormal());
 102     EXPECT_FALSE(APFloat(APFloat::IEEEquad, 0.0).isDenormal());
 103
 104     APFloat Val2(APFloat::IEEEquad, 2.0e0);
 105     APFloat T(APFloat::IEEEquad, MinNormalStr);
 106     T.divide(Val2, rdmd);
 107     EXPECT_TRUE(T.isDenormal());
 108   }
 109 }
 110
 111 TEST(APFloatTest, Zero) {
 112   EXPECT_EQ(0.0f,  APFloat(0.0f).convertToFloat());
 113   EXPECT_EQ(-0.0f, APFloat(-0.0f).convertToFloat());
 114   EXPECT_TRUE(APFloat(-0.0f).isNegative());
 115
 116   EXPECT_EQ(0.0,  APFloat(0.0).convertToDouble());
 117   EXPECT_EQ(-0.0, APFloat(-0.0).convertToDouble());
 118   EXPECT_TRUE(APFloat(-0.0).isNegative());
 119 }
 120
 121 TEST(APFloatTest, fromZeroDecimalString) {
 122   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0").convertToDouble());
 123   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0").convertToDouble());
 124   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0").convertToDouble());
 125
 126   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0.").convertToDouble());
 127   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.").convertToDouble());
 128   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.").convertToDouble());
 129
 130   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  ".0").convertToDouble());
 131   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0").convertToDouble());
 132   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0").convertToDouble());
 133
 134   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0.0").convertToDouble());
 135   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0").convertToDouble());
 136   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0").convertToDouble());
 137
 138   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "00000.").convertToDouble());
 139   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+00000.").convertToDouble());
 140   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-00000.").convertToDouble());
 141
 142   EXPECT_EQ(0.0,  APFloat(APFloat::IEEEdouble, ".00000").convertToDouble());
 143   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.00000").convertToDouble());
 144   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.00000").convertToDouble());
 145
 146   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0000.00000").convertToDouble());
 147   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0000.00000").convertToDouble());
 148   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0000.00000").convertToDouble());
 149 }
 150
 151 TEST(APFloatTest, fromZeroDecimalSingleExponentString) {
 152   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,   "0e1").convertToDouble());
 153   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble,  "+0e1").convertToDouble());
 154   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble,  "-0e1").convertToDouble());
 155
 156   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0e+1").convertToDouble());
 157   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e+1").convertToDouble());
 158   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e+1").convertToDouble());
 159
 160   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0e-1").convertToDouble());
 161   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e-1").convertToDouble());
 162   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e-1").convertToDouble());
 163
 164
 165   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,   "0.e1").convertToDouble());
 166   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble,  "+0.e1").convertToDouble());
 167   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble,  "-0.e1").convertToDouble());
 168
 169   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0.e+1").convertToDouble());
 170   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e+1").convertToDouble());
 171   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e+1").convertToDouble());
 172
 173   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0.e-1").convertToDouble());
 174   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e-1").convertToDouble());
 175   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e-1").convertToDouble());
 176
 177   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,   ".0e1").convertToDouble());
 178   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble,  "+.0e1").convertToDouble());
 179   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble,  "-.0e1").convertToDouble());
 180
 181   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  ".0e+1").convertToDouble());
 182   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e+1").convertToDouble());
 183   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e+1").convertToDouble());
 184
 185   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  ".0e-1").convertToDouble());
 186   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e-1").convertToDouble());
 187   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e-1").convertToDouble());
 188
 189
 190   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,   "0.0e1").convertToDouble());
 191   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble,  "+0.0e1").convertToDouble());
 192   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble,  "-0.0e1").convertToDouble());
 193
 194   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0.0e+1").convertToDouble());
 195   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e+1").convertToDouble());
 196   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e+1").convertToDouble());
 197
 198   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0.0e-1").convertToDouble());
 199   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e-1").convertToDouble());
 200   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e-1").convertToDouble());
 201
 202
 203   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "000.0000e1").convertToDouble());
 204   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+000.0000e+1").convertToDouble());
 205   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-000.0000e+1").convertToDouble());
 206 }
 207
 208 TEST(APFloatTest, fromZeroDecimalLargeExponentString) {
 209   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0e1234").convertToDouble());
 210   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e1234").convertToDouble());
 211   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e1234").convertToDouble());
 212
 213   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0e+1234").convertToDouble());
 214   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e+1234").convertToDouble());
 215   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e+1234").convertToDouble());
 216
 217   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0e-1234").convertToDouble());
 218   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e-1234").convertToDouble());
 219   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e-1234").convertToDouble());
 220
 221   EXPECT_EQ(0.0,  APFloat(APFloat::IEEEdouble, "000.0000e1234").convertToDouble());
 222   EXPECT_EQ(0.0,  APFloat(APFloat::IEEEdouble, "000.0000e-1234").convertToDouble());
 223
 224   EXPECT_EQ(0.0,  APFloat(APFloat::IEEEdouble, StringRef("0e1234\02", 6)).convertToDouble());
 225 }
 226
 227 TEST(APFloatTest, fromZeroHexadecimalString) {
 228   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x0p1").convertToDouble());
 229   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p1").convertToDouble());
 230   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p1").convertToDouble());
 231
 232   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x0p+1").convertToDouble());
 233   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p+1").convertToDouble());
 234   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p+1").convertToDouble());
 235
 236   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x0p-1").convertToDouble());
 237   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p-1").convertToDouble());
 238   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p-1").convertToDouble());
 239
 240
 241   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x0.p1").convertToDouble());
 242   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p1").convertToDouble());
 243   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p1").convertToDouble());
 244
 245   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x0.p+1").convertToDouble());
 246   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p+1").convertToDouble());
 247   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p+1").convertToDouble());
 248
 249   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x0.p-1").convertToDouble());
 250   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p-1").convertToDouble());
 251   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p-1").convertToDouble());
 252
 253
 254   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x.0p1").convertToDouble());
 255   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p1").convertToDouble());
 256   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p1").convertToDouble());
 257
 258   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x.0p+1").convertToDouble());
 259   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p+1").convertToDouble());
 260   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p+1").convertToDouble());
 261
 262   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x.0p-1").convertToDouble());
 263   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p-1").convertToDouble());
 264   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p-1").convertToDouble());
 265
 266
 267   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x0.0p1").convertToDouble());
 268   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p1").convertToDouble());
 269   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p1").convertToDouble());
 270
 271   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x0.0p+1").convertToDouble());
 272   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p+1").convertToDouble());
 273   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p+1").convertToDouble());
 274
 275   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble,  "0x0.0p-1").convertToDouble());
 276   EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p-1").convertToDouble());
 277   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p-1").convertToDouble());
 278
 279
 280   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x00000.p1").convertToDouble());
 281   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0000.00000p1").convertToDouble());
 282   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.00000p1").convertToDouble());
 283   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1").convertToDouble());
 284   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p1234").convertToDouble());
 285   EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p1234").convertToDouble());
 286   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x00000.p1234").convertToDouble());
 287   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0000.00000p1234").convertToDouble());
 288   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.00000p1234").convertToDouble());
 289   EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1234").convertToDouble());
 290 }
 291
 292 TEST(APFloatTest, fromDecimalString) {
 293   EXPECT_EQ(1.0,      APFloat(APFloat::IEEEdouble, "1").convertToDouble());
 294   EXPECT_EQ(2.0,      APFloat(APFloat::IEEEdouble, "2.").convertToDouble());
 295   EXPECT_EQ(0.5,      APFloat(APFloat::IEEEdouble, ".5").convertToDouble());
 296   EXPECT_EQ(1.0,      APFloat(APFloat::IEEEdouble, "1.0").convertToDouble());
 297   EXPECT_EQ(-2.0,     APFloat(APFloat::IEEEdouble, "-2").convertToDouble());
 298   EXPECT_EQ(-4.0,     APFloat(APFloat::IEEEdouble, "-4.").convertToDouble());
 299   EXPECT_EQ(-0.5,     APFloat(APFloat::IEEEdouble, "-.5").convertToDouble());
 300   EXPECT_EQ(-1.5,     APFloat(APFloat::IEEEdouble, "-1.5").convertToDouble());
 301   EXPECT_EQ(1.25e12,  APFloat(APFloat::IEEEdouble, "1.25e12").convertToDouble());
 302   EXPECT_EQ(1.25e+12, APFloat(APFloat::IEEEdouble, "1.25e+12").convertToDouble());
 303   EXPECT_EQ(1.25e-12, APFloat(APFloat::IEEEdouble, "1.25e-12").convertToDouble());
 304   EXPECT_EQ(1024.0,   APFloat(APFloat::IEEEdouble, "1024.").convertToDouble());
 305   EXPECT_EQ(1024.05,  APFloat(APFloat::IEEEdouble, "1024.05000").convertToDouble());
 306   EXPECT_EQ(0.05,     APFloat(APFloat::IEEEdouble, ".05000").convertToDouble());
 307   EXPECT_EQ(2.0,      APFloat(APFloat::IEEEdouble, "2.").convertToDouble());
 308   EXPECT_EQ(2.0e2,    APFloat(APFloat::IEEEdouble, "2.e2").convertToDouble());
 309   EXPECT_EQ(2.0e+2,   APFloat(APFloat::IEEEdouble, "2.e+2").convertToDouble());
 310   EXPECT_EQ(2.0e-2,   APFloat(APFloat::IEEEdouble, "2.e-2").convertToDouble());
 311   EXPECT_EQ(2.05e2,    APFloat(APFloat::IEEEdouble, "002.05000e2").convertToDouble());
 312   EXPECT_EQ(2.05e+2,   APFloat(APFloat::IEEEdouble, "002.05000e+2").convertToDouble());
 313   EXPECT_EQ(2.05e-2,   APFloat(APFloat::IEEEdouble, "002.05000e-2").convertToDouble());
 314   EXPECT_EQ(2.05e12,   APFloat(APFloat::IEEEdouble, "002.05000e12").convertToDouble());
 315   EXPECT_EQ(2.05e+12,  APFloat(APFloat::IEEEdouble, "002.05000e+12").convertToDouble());
 316   EXPECT_EQ(2.05e-12,  APFloat(APFloat::IEEEdouble, "002.05000e-12").convertToDouble());
 317
 318   // These are "carefully selected" to overflow the fast log-base
 319   // calculations in APFloat.cpp
 320   EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "99e99999").isInfinity());
 321   EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "-99e99999").isInfinity());
 322   EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "1e-99999").isPosZero());
 323   EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "-1e-99999").isNegZero());
 324 }
 325
 326 TEST(APFloatTest, fromHexadecimalString) {
 327   EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble,  "0x1p0").convertToDouble());
 328   EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p0").convertToDouble());
 329   EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p0").convertToDouble());
 330
 331   EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble,  "0x1p+0").convertToDouble());
 332   EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p+0").convertToDouble());
 333   EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p+0").convertToDouble());
 334
 335   EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble,  "0x1p-0").convertToDouble());
 336   EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p-0").convertToDouble());
 337   EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p-0").convertToDouble());
 338
 339
 340   EXPECT_EQ( 2.0, APFloat(APFloat::IEEEdouble,  "0x1p1").convertToDouble());
 341   EXPECT_EQ(+2.0, APFloat(APFloat::IEEEdouble, "+0x1p1").convertToDouble());
 342   EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-0x1p1").convertToDouble());
 343
 344   EXPECT_EQ( 2.0, APFloat(APFloat::IEEEdouble,  "0x1p+1").convertToDouble());
 345   EXPECT_EQ(+2.0, APFloat(APFloat::IEEEdouble, "+0x1p+1").convertToDouble());
 346   EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-0x1p+1").convertToDouble());
 347
 348   EXPECT_EQ( 0.5, APFloat(APFloat::IEEEdouble,  "0x1p-1").convertToDouble());
 349   EXPECT_EQ(+0.5, APFloat(APFloat::IEEEdouble, "+0x1p-1").convertToDouble());
 350   EXPECT_EQ(-0.5, APFloat(APFloat::IEEEdouble, "-0x1p-1").convertToDouble());
 351
 352
 353   EXPECT_EQ( 3.0, APFloat(APFloat::IEEEdouble,  "0x1.8p1").convertToDouble());
 354   EXPECT_EQ(+3.0, APFloat(APFloat::IEEEdouble, "+0x1.8p1").convertToDouble());
 355   EXPECT_EQ(-3.0, APFloat(APFloat::IEEEdouble, "-0x1.8p1").convertToDouble());
 356
 357   EXPECT_EQ( 3.0, APFloat(APFloat::IEEEdouble,  "0x1.8p+1").convertToDouble());
 358   EXPECT_EQ(+3.0, APFloat(APFloat::IEEEdouble, "+0x1.8p+1").convertToDouble());
 359   EXPECT_EQ(-3.0, APFloat(APFloat::IEEEdouble, "-0x1.8p+1").convertToDouble());
 360
 361   EXPECT_EQ( 0.75, APFloat(APFloat::IEEEdouble,  "0x1.8p-1").convertToDouble());
 362   EXPECT_EQ(+0.75, APFloat(APFloat::IEEEdouble, "+0x1.8p-1").convertToDouble());
 363   EXPECT_EQ(-0.75, APFloat(APFloat::IEEEdouble, "-0x1.8p-1").convertToDouble());
 364
 365
 366   EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble,  "0x1000.000p1").convertToDouble());
 367   EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p1").convertToDouble());
 368   EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p1").convertToDouble());
 369
 370   EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble,  "0x1000.000p+1").convertToDouble());
 371   EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p+1").convertToDouble());
 372   EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p+1").convertToDouble());
 373
 374   EXPECT_EQ( 2048.0, APFloat(APFloat::IEEEdouble,  "0x1000.000p-1").convertToDouble());
 375   EXPECT_EQ(+2048.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p-1").convertToDouble());
 376   EXPECT_EQ(-2048.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p-1").convertToDouble());
 377
 378
 379   EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble,  "0x1000p1").convertToDouble());
 380   EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000p1").convertToDouble());
 381   EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000p1").convertToDouble());
 382
 383   EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble,  "0x1000p+1").convertToDouble());
 384   EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000p+1").convertToDouble());
 385   EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000p+1").convertToDouble());
 386
 387   EXPECT_EQ( 2048.0, APFloat(APFloat::IEEEdouble,  "0x1000p-1").convertToDouble());
 388   EXPECT_EQ(+2048.0, APFloat(APFloat::IEEEdouble, "+0x1000p-1").convertToDouble());
 389   EXPECT_EQ(-2048.0, APFloat(APFloat::IEEEdouble, "-0x1000p-1").convertToDouble());
 390
 391
 392   EXPECT_EQ( 16384.0, APFloat(APFloat::IEEEdouble,  "0x10p10").convertToDouble());
 393   EXPECT_EQ(+16384.0, APFloat(APFloat::IEEEdouble, "+0x10p10").convertToDouble());
 394   EXPECT_EQ(-16384.0, APFloat(APFloat::IEEEdouble, "-0x10p10").convertToDouble());
 395
 396   EXPECT_EQ( 16384.0, APFloat(APFloat::IEEEdouble,  "0x10p+10").convertToDouble());
 397   EXPECT_EQ(+16384.0, APFloat(APFloat::IEEEdouble, "+0x10p+10").convertToDouble());
 398   EXPECT_EQ(-16384.0, APFloat(APFloat::IEEEdouble, "-0x10p+10").convertToDouble());
 399
 400   EXPECT_EQ( 0.015625, APFloat(APFloat::IEEEdouble,  "0x10p-10").convertToDouble());
 401   EXPECT_EQ(+0.015625, APFloat(APFloat::IEEEdouble, "+0x10p-10").convertToDouble());
 402   EXPECT_EQ(-0.015625, APFloat(APFloat::IEEEdouble, "-0x10p-10").convertToDouble());
 403
 404   EXPECT_EQ(1.0625, APFloat(APFloat::IEEEdouble, "0x1.1p0").convertToDouble());
 405   EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "0x1p0").convertToDouble());
 406
 407   EXPECT_EQ(2.71828, convertToDoubleFromString("2.71828"));
 408 }
 409
 410 TEST(APFloatTest, toString) {
 411   ASSERT_EQ("10", convertToString(10.0, 6, 3));
 412   ASSERT_EQ("1.0E+1", convertToString(10.0, 6, 0));
 413   ASSERT_EQ("10100", convertToString(1.01E+4, 5, 2));
 414   ASSERT_EQ("1.01E+4", convertToString(1.01E+4, 4, 2));
 415   ASSERT_EQ("1.01E+4", convertToString(1.01E+4, 5, 1));
 416   ASSERT_EQ("0.0101", convertToString(1.01E-2, 5, 2));
 417   ASSERT_EQ("0.0101", convertToString(1.01E-2, 4, 2));
 418   ASSERT_EQ("1.01E-2", convertToString(1.01E-2, 5, 1));
 419   ASSERT_EQ("0.7853981633974483", convertToString(0.78539816339744830961, 0, 3));
 420   ASSERT_EQ("4.940656458412465E-324", convertToString(4.9406564584124654e-324, 0, 3));
 421   ASSERT_EQ("873.1834", convertToString(873.1834, 0, 1));
 422   ASSERT_EQ("8.731834E+2", convertToString(873.1834, 0, 0));
 423 }
 424
 425 TEST(APFloatTest, toInteger) {
 426   bool isExact = false;
 427   APSInt result(5, /*isUnsigned=*/true);
 428
 429   EXPECT_EQ(APFloat::opOK,
 430             APFloat(APFloat::IEEEdouble, "10")
 431             .convertToInteger(result, APFloat::rmTowardZero, &isExact));
 432   EXPECT_TRUE(isExact);
 433   EXPECT_EQ(APSInt(APInt(5, 10), true), result);
 434
 435   EXPECT_EQ(APFloat::opInvalidOp,
 436             APFloat(APFloat::IEEEdouble, "-10")
 437             .convertToInteger(result, APFloat::rmTowardZero, &isExact));
 438   EXPECT_FALSE(isExact);
 439   EXPECT_EQ(APSInt::getMinValue(5, true), result);
 440
 441   EXPECT_EQ(APFloat::opInvalidOp,
 442             APFloat(APFloat::IEEEdouble, "32")
 443             .convertToInteger(result, APFloat::rmTowardZero, &isExact));
 444   EXPECT_FALSE(isExact);
 445   EXPECT_EQ(APSInt::getMaxValue(5, true), result);
 446
 447   EXPECT_EQ(APFloat::opInexact,
 448             APFloat(APFloat::IEEEdouble, "7.9")
 449             .convertToInteger(result, APFloat::rmTowardZero, &isExact));
 450   EXPECT_FALSE(isExact);
 451   EXPECT_EQ(APSInt(APInt(5, 7), true), result);
 452
 453   result.setIsUnsigned(false);
 454   EXPECT_EQ(APFloat::opOK,
 455             APFloat(APFloat::IEEEdouble, "-10")
 456             .convertToInteger(result, APFloat::rmTowardZero, &isExact));
 457   EXPECT_TRUE(isExact);
 458   EXPECT_EQ(APSInt(APInt(5, -10, true), false), result);
 459
 460   EXPECT_EQ(APFloat::opInvalidOp,
 461             APFloat(APFloat::IEEEdouble, "-17")
 462             .convertToInteger(result, APFloat::rmTowardZero, &isExact));
 463   EXPECT_FALSE(isExact);
 464   EXPECT_EQ(APSInt::getMinValue(5, false), result);
 465
 466   EXPECT_EQ(APFloat::opInvalidOp,
 467             APFloat(APFloat::IEEEdouble, "16")
 468             .convertToInteger(result, APFloat::rmTowardZero, &isExact));
 469   EXPECT_FALSE(isExact);
 470   EXPECT_EQ(APSInt::getMaxValue(5, false), result);
 471 }
 472
 473 static APInt nanbits(const fltSemantics &Sem,
 474                      bool SNaN, bool Negative, uint64_t fill) {
 475   APInt apfill(64, fill);
 476   if (SNaN)
 477     return APFloat::getSNaN(Sem, Negative, &apfill).bitcastToAPInt();
 478   else
 479     return APFloat::getQNaN(Sem, Negative, &apfill).bitcastToAPInt();
 480 }
 481
 482 TEST(APFloatTest, makeNaN) {
 483   ASSERT_EQ(0x7fc00000, nanbits(APFloat::IEEEsingle, false, false, 0));
 484   ASSERT_EQ(0xffc00000, nanbits(APFloat::IEEEsingle, false, true, 0));
 485   ASSERT_EQ(0x7fc0ae72, nanbits(APFloat::IEEEsingle, false, false, 0xae72));
 486   ASSERT_EQ(0x7fffae72, nanbits(APFloat::IEEEsingle, false, false, 0xffffae72));
 487   ASSERT_EQ(0x7fa00000, nanbits(APFloat::IEEEsingle, true, false, 0));
 488   ASSERT_EQ(0xffa00000, nanbits(APFloat::IEEEsingle, true, true, 0));
 489   ASSERT_EQ(0x7f80ae72, nanbits(APFloat::IEEEsingle, true, false, 0xae72));
 490   ASSERT_EQ(0x7fbfae72, nanbits(APFloat::IEEEsingle, true, false, 0xffffae72));
 491
 492   ASSERT_EQ(0x7ff8000000000000ULL, nanbits(APFloat::IEEEdouble, false, false, 0));
 493   ASSERT_EQ(0xfff8000000000000ULL, nanbits(APFloat::IEEEdouble, false, true, 0));
 494   ASSERT_EQ(0x7ff800000000ae72ULL, nanbits(APFloat::IEEEdouble, false, false, 0xae72));
 495   ASSERT_EQ(0x7fffffffffffae72ULL, nanbits(APFloat::IEEEdouble, false, false, 0xffffffffffffae72ULL));
 496   ASSERT_EQ(0x7ff4000000000000ULL, nanbits(APFloat::IEEEdouble, true, false, 0));
 497   ASSERT_EQ(0xfff4000000000000ULL, nanbits(APFloat::IEEEdouble, true, true, 0));
 498   ASSERT_EQ(0x7ff000000000ae72ULL, nanbits(APFloat::IEEEdouble, true, false, 0xae72));
 499   ASSERT_EQ(0x7ff7ffffffffae72ULL, nanbits(APFloat::IEEEdouble, true, false, 0xffffffffffffae72ULL));
 500 }
 501
 502 #ifdef GTEST_HAS_DEATH_TEST
 503 #ifndef NDEBUG
 504 TEST(APFloatTest, SemanticsDeath) {
 505   EXPECT_DEATH(APFloat(APFloat::IEEEsingle, 0.0f).convertToDouble(), "Float semantics are not IEEEdouble");
 506   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, 0.0 ).convertToFloat(),  "Float semantics are not IEEEsingle");
 507 }
 508
 509 TEST(APFloatTest, StringDecimalDeath) {
 510   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  ""), "Invalid string length");
 511   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+"), "String has no digits");
 512   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-"), "String has no digits");
 513
 514   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("\0", 1)), "Invalid character in significand");
 515   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\0", 2)), "Invalid character in significand");
 516   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\02", 3)), "Invalid character in significand");
 517   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\02e1", 5)), "Invalid character in significand");
 518   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e\0", 3)), "Invalid character in exponent");
 519   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e1\0", 4)), "Invalid character in exponent");
 520   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e1\02", 5)), "Invalid character in exponent");
 521
 522   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0f"), "Invalid character in significand");
 523
 524   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".."), "String contains multiple dots");
 525   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "..0"), "String contains multiple dots");
 526   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0.0"), "String contains multiple dots");
 527 }
 528
 529 TEST(APFloatTest, StringDecimalSignificandDeath) {
 530   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "."), "Significand has no digits");
 531   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+."), "Significand has no digits");
 532   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-."), "Significand has no digits");
 533
 534
 535   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "e"), "Significand has no digits");
 536   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+e"), "Significand has no digits");
 537   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-e"), "Significand has no digits");
 538
 539   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "e1"), "Significand has no digits");
 540   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+e1"), "Significand has no digits");
 541   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-e1"), "Significand has no digits");
 542
 543   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  ".e1"), "Significand has no digits");
 544   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.e1"), "Significand has no digits");
 545   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.e1"), "Significand has no digits");
 546
 547
 548   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  ".e"), "Significand has no digits");
 549   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.e"), "Significand has no digits");
 550   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.e"), "Significand has no digits");
 551 }
 552
 553 TEST(APFloatTest, StringDecimalExponentDeath) {
 554   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,   "1e"), "Exponent has no digits");
 555   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "+1e"), "Exponent has no digits");
 556   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "-1e"), "Exponent has no digits");
 557
 558   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,   "1.e"), "Exponent has no digits");
 559   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "+1.e"), "Exponent has no digits");
 560   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "-1.e"), "Exponent has no digits");
 561
 562   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,   ".1e"), "Exponent has no digits");
 563   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "+.1e"), "Exponent has no digits");
 564   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "-.1e"), "Exponent has no digits");
 565
 566   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,   "1.1e"), "Exponent has no digits");
 567   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "+1.1e"), "Exponent has no digits");
 568   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "-1.1e"), "Exponent has no digits");
 569
 570
 571   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e+"), "Exponent has no digits");
 572   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e-"), "Exponent has no digits");
 573
 574   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  ".1e"), "Exponent has no digits");
 575   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e+"), "Exponent has no digits");
 576   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e-"), "Exponent has no digits");
 577
 578   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "1.0e"), "Exponent has no digits");
 579   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e+"), "Exponent has no digits");
 580   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e-"), "Exponent has no digits");
 581 }
 582
 583 TEST(APFloatTest, StringHexadecimalDeath) {
 584   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x"), "Invalid string");
 585   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x"), "Invalid string");
 586   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x"), "Invalid string");
 587
 588   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x0"), "Hex strings require an exponent");
 589   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0"), "Hex strings require an exponent");
 590   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0"), "Hex strings require an exponent");
 591
 592   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x0."), "Hex strings require an exponent");
 593   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0."), "Hex strings require an exponent");
 594   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0."), "Hex strings require an exponent");
 595
 596   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x.0"), "Hex strings require an exponent");
 597   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.0"), "Hex strings require an exponent");
 598   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.0"), "Hex strings require an exponent");
 599
 600   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x0.0"), "Hex strings require an exponent");
 601   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0.0"), "Hex strings require an exponent");
 602   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0.0"), "Hex strings require an exponent");
 603
 604   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x\0", 3)), "Invalid character in significand");
 605   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\0", 4)), "Invalid character in significand");
 606   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\02", 5)), "Invalid character in significand");
 607   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\02p1", 7)), "Invalid character in significand");
 608   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p\0", 5)), "Invalid character in exponent");
 609   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p1\0", 6)), "Invalid character in exponent");
 610   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p1\02", 7)), "Invalid character in exponent");
 611
 612   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p0f"), "Invalid character in exponent");
 613
 614   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x..p1"), "String contains multiple dots");
 615   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x..0p1"), "String contains multiple dots");
 616   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.0.0p1"), "String contains multiple dots");
 617 }
 618
 619 TEST(APFloatTest, StringHexadecimalSignificandDeath) {
 620   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x."), "Significand has no digits");
 621   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x."), "Significand has no digits");
 622   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x."), "Significand has no digits");
 623
 624   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0xp"), "Significand has no digits");
 625   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp"), "Significand has no digits");
 626   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp"), "Significand has no digits");
 627
 628   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0xp+"), "Significand has no digits");
 629   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp+"), "Significand has no digits");
 630   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp+"), "Significand has no digits");
 631
 632   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0xp-"), "Significand has no digits");
 633   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp-"), "Significand has no digits");
 634   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp-"), "Significand has no digits");
 635
 636
 637   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x.p"), "Significand has no digits");
 638   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p"), "Significand has no digits");
 639   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p"), "Significand has no digits");
 640
 641   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x.p+"), "Significand has no digits");
 642   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p+"), "Significand has no digits");
 643   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p+"), "Significand has no digits");
 644
 645   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x.p-"), "Significand has no digits");
 646   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p-"), "Significand has no digits");
 647   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p-"), "Significand has no digits");
 648 }
 649
 650 TEST(APFloatTest, StringHexadecimalExponentDeath) {
 651   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x1p"), "Exponent has no digits");
 652   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p"), "Exponent has no digits");
 653   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p"), "Exponent has no digits");
 654
 655   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x1p+"), "Exponent has no digits");
 656   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p+"), "Exponent has no digits");
 657   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p+"), "Exponent has no digits");
 658
 659   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x1p-"), "Exponent has no digits");
 660   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p-"), "Exponent has no digits");
 661   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p-"), "Exponent has no digits");
 662
 663
 664   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x1.p"), "Exponent has no digits");
 665   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p"), "Exponent has no digits");
 666   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p"), "Exponent has no digits");
 667
 668   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x1.p+"), "Exponent has no digits");
 669   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p+"), "Exponent has no digits");
 670   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p+"), "Exponent has no digits");
 671
 672   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x1.p-"), "Exponent has no digits");
 673   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p-"), "Exponent has no digits");
 674   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p-"), "Exponent has no digits");
 675
 676
 677   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x.1p"), "Exponent has no digits");
 678   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p"), "Exponent has no digits");
 679   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p"), "Exponent has no digits");
 680
 681   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x.1p+"), "Exponent has no digits");
 682   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p+"), "Exponent has no digits");
 683   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p+"), "Exponent has no digits");
 684
 685   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x.1p-"), "Exponent has no digits");
 686   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p-"), "Exponent has no digits");
 687   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p-"), "Exponent has no digits");
 688
 689
 690   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x1.1p"), "Exponent has no digits");
 691   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p"), "Exponent has no digits");
 692   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p"), "Exponent has no digits");
 693
 694   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x1.1p+"), "Exponent has no digits");
 695   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p+"), "Exponent has no digits");
 696   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p+"), "Exponent has no digits");
 697
 698   EXPECT_DEATH(APFloat(APFloat::IEEEdouble,  "0x1.1p-"), "Exponent has no digits");
 699   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p-"), "Exponent has no digits");
 700   EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p-"), "Exponent has no digits");
 701 }
 702 #endif
 703 #endif
 704
 705 TEST(APFloatTest, exactInverse) {
 706   APFloat inv(0.0f);
 707
 708   // Trivial operation.
 709   EXPECT_TRUE(APFloat(2.0).getExactInverse(&inv));
 710   EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(0.5)));
 711   EXPECT_TRUE(APFloat(2.0f).getExactInverse(&inv));
 712   EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(0.5f)));
 713   EXPECT_TRUE(APFloat(APFloat::IEEEquad, "2.0").getExactInverse(&inv));
 714   EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::IEEEquad, "0.5")));
 715   EXPECT_TRUE(APFloat(APFloat::PPCDoubleDouble, "2.0").getExactInverse(&inv));
 716   EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::PPCDoubleDouble, "0.5")));
 717   EXPECT_TRUE(APFloat(APFloat::x87DoubleExtended, "2.0").getExactInverse(&inv));
 718   EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::x87DoubleExtended, "0.5")));
 719
 720   // FLT_MIN
 721   EXPECT_TRUE(APFloat(1.17549435e-38f).getExactInverse(&inv));
 722   EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(8.5070592e+37f)));
 723
 724   // Large float, inverse is a denormal.
 725   EXPECT_FALSE(APFloat(1.7014118e38f).getExactInverse(0));
 726   // Zero
 727   EXPECT_FALSE(APFloat(0.0).getExactInverse(0));
 728   // Denormalized float
 729   EXPECT_FALSE(APFloat(1.40129846e-45f).getExactInverse(0));
 730 }
 731
 732 TEST(APFloatTest, roundToIntegral) {
 733   APFloat T(-0.5), S(3.14), R(APFloat::getLargest(APFloat::IEEEdouble)), P(0.0);
 734
 735   P = T;
 736   P.roundToIntegral(APFloat::rmTowardZero);
 737   EXPECT_EQ(-0.0, P.convertToDouble());
 738   P = T;
 739   P.roundToIntegral(APFloat::rmTowardNegative);
 740   EXPECT_EQ(-1.0, P.convertToDouble());
 741   P = T;
 742   P.roundToIntegral(APFloat::rmTowardPositive);
 743   EXPECT_EQ(-0.0, P.convertToDouble());
 744   P = T;
 745   P.roundToIntegral(APFloat::rmNearestTiesToEven);
 746   EXPECT_EQ(-0.0, P.convertToDouble());
 747
 748   P = S;
 749   P.roundToIntegral(APFloat::rmTowardZero);
 750   EXPECT_EQ(3.0, P.convertToDouble());
 751   P = S;
 752   P.roundToIntegral(APFloat::rmTowardNegative);
 753   EXPECT_EQ(3.0, P.convertToDouble());
 754   P = S;
 755   P.roundToIntegral(APFloat::rmTowardPositive);
 756   EXPECT_EQ(4.0, P.convertToDouble());
 757   P = S;
 758   P.roundToIntegral(APFloat::rmNearestTiesToEven);
 759   EXPECT_EQ(3.0, P.convertToDouble());
 760
 761   P = R;
 762   P.roundToIntegral(APFloat::rmTowardZero);
 763   EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
 764   P = R;
 765   P.roundToIntegral(APFloat::rmTowardNegative);
 766   EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
 767   P = R;
 768   P.roundToIntegral(APFloat::rmTowardPositive);
 769   EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
 770   P = R;
 771   P.roundToIntegral(APFloat::rmNearestTiesToEven);
 772   EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
 773
 774   P = APFloat::getZero(APFloat::IEEEdouble);
 775   P.roundToIntegral(APFloat::rmTowardZero);
 776   EXPECT_EQ(0.0, P.convertToDouble());
 777   P = APFloat::getZero(APFloat::IEEEdouble, true);
 778   P.roundToIntegral(APFloat::rmTowardZero);
 779   EXPECT_EQ(-0.0, P.convertToDouble());
 780   P = APFloat::getNaN(APFloat::IEEEdouble);
 781   P.roundToIntegral(APFloat::rmTowardZero);
 782   EXPECT_TRUE(IsNAN(P.convertToDouble()));
 783   P = APFloat::getInf(APFloat::IEEEdouble);
 784   P.roundToIntegral(APFloat::rmTowardZero);
 785   EXPECT_TRUE(IsInf(P.convertToDouble()) && P.convertToDouble() > 0.0);
 786   P = APFloat::getInf(APFloat::IEEEdouble, true);
 787   P.roundToIntegral(APFloat::rmTowardZero);
 788   EXPECT_TRUE(IsInf(P.convertToDouble()) && P.convertToDouble() < 0.0);
 789
 790 }
 791
 792 TEST(APFloatTest, getLargest) {
 793   EXPECT_EQ(3.402823466e+38f, APFloat::getLargest(APFloat::IEEEsingle).convertToFloat());
 794   EXPECT_EQ(1.7976931348623158e+308, APFloat::getLargest(APFloat::IEEEdouble).convertToDouble());
 795 }
 796
 797 TEST(APFloatTest, getSmallest) {
 798   APFloat test = APFloat::getSmallest(APFloat::IEEEsingle, false);
 799   APFloat expected = APFloat(APFloat::IEEEsingle, "0x0.000002p-126");
 800   EXPECT_FALSE(test.isNegative());
 801   EXPECT_TRUE(test.isNormal());
 802   EXPECT_TRUE(test.isDenormal());
 803   EXPECT_TRUE(test.bitwiseIsEqual(expected));
 804
 805   test = APFloat::getSmallest(APFloat::IEEEsingle, true);
 806   expected = APFloat(APFloat::IEEEsingle, "-0x0.000002p-126");
 807   EXPECT_TRUE(test.isNegative());
 808   EXPECT_TRUE(test.isNormal());
 809   EXPECT_TRUE(test.isDenormal());
 810   EXPECT_TRUE(test.bitwiseIsEqual(expected));
 811
 812   test = APFloat::getSmallest(APFloat::IEEEquad, false);
 813   expected = APFloat(APFloat::IEEEquad, "0x0.0000000000000000000000000001p-16382");
 814   EXPECT_FALSE(test.isNegative());
 815   EXPECT_TRUE(test.isNormal());
 816   EXPECT_TRUE(test.isDenormal());
 817   EXPECT_TRUE(test.bitwiseIsEqual(expected));
 818
 819   test = APFloat::getSmallest(APFloat::IEEEquad, true);
 820   expected = APFloat(APFloat::IEEEquad, "-0x0.0000000000000000000000000001p-16382");
 821   EXPECT_TRUE(test.isNegative());
 822   EXPECT_TRUE(test.isNormal());
 823   EXPECT_TRUE(test.isDenormal());
 824   EXPECT_TRUE(test.bitwiseIsEqual(expected));
 825 }
 826
 827 TEST(APFloatTest, convert) {
 828   bool losesInfo;
 829   APFloat test(APFloat::IEEEdouble, "1.0");
 830   test.convert(APFloat::IEEEsingle, APFloat::rmNearestTiesToEven, &losesInfo);
 831   EXPECT_EQ(1.0f, test.convertToFloat());
 832   EXPECT_FALSE(losesInfo);
 833
 834   test = APFloat(APFloat::x87DoubleExtended, "0x1p-53");
 835   test.add(APFloat(APFloat::x87DoubleExtended, "1.0"), APFloat::rmNearestTiesToEven);
 836   test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo);
 837   EXPECT_EQ(1.0, test.convertToDouble());
 838   EXPECT_TRUE(losesInfo);
 839
 840   test = APFloat(APFloat::IEEEquad, "0x1p-53");
 841   test.add(APFloat(APFloat::IEEEquad, "1.0"), APFloat::rmNearestTiesToEven);
 842   test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo);
 843   EXPECT_EQ(1.0, test.convertToDouble());
 844   EXPECT_TRUE(losesInfo);
 845
 846   test = APFloat(APFloat::x87DoubleExtended, "0xf.fffffffp+28");
 847   test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo);
 848   EXPECT_EQ(4294967295.0, test.convertToDouble());
 849   EXPECT_FALSE(losesInfo);
 850
 851   test = APFloat::getSNaN(APFloat::IEEEsingle);
 852   APFloat X87SNaN = APFloat::getSNaN(APFloat::x87DoubleExtended);
 853   test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
 854                &losesInfo);
 855   EXPECT_TRUE(test.bitwiseIsEqual(X87SNaN));
 856   EXPECT_FALSE(losesInfo);
 857
 858   test = APFloat::getQNaN(APFloat::IEEEsingle);
 859   APFloat X87QNaN = APFloat::getQNaN(APFloat::x87DoubleExtended);
 860   test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
 861                &losesInfo);
 862   EXPECT_TRUE(test.bitwiseIsEqual(X87QNaN));
 863   EXPECT_FALSE(losesInfo);
 864
 865   test = APFloat::getSNaN(APFloat::x87DoubleExtended);
 866   test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
 867                &losesInfo);
 868   EXPECT_TRUE(test.bitwiseIsEqual(X87SNaN));
 869   EXPECT_FALSE(losesInfo);
 870
 871   test = APFloat::getQNaN(APFloat::x87DoubleExtended);
 872   test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
 873                &losesInfo);
 874   EXPECT_TRUE(test.bitwiseIsEqual(X87QNaN));
 875   EXPECT_FALSE(losesInfo);
 876 }
 877
 878 TEST(APFloatTest, PPCDoubleDouble) {
 879   APFloat test(APFloat::PPCDoubleDouble, "1.0");
 880   EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]);
 881   EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]);
 882
 883   test.divide(APFloat(APFloat::PPCDoubleDouble, "3.0"), APFloat::rmNearestTiesToEven);
 884   EXPECT_EQ(0x3fd5555555555555ull, test.bitcastToAPInt().getRawData()[0]);
 885   EXPECT_EQ(0x3c75555555555556ull, test.bitcastToAPInt().getRawData()[1]);
 886
 887   // LDBL_MAX
 888   test = APFloat(APFloat::PPCDoubleDouble, "1.79769313486231580793728971405301e+308");
 889   EXPECT_EQ(0x7fefffffffffffffull, test.bitcastToAPInt().getRawData()[0]);
 890   EXPECT_EQ(0x7c8ffffffffffffeull, test.bitcastToAPInt().getRawData()[1]);
 891
 892   // LDBL_MIN
 893   test = APFloat(APFloat::PPCDoubleDouble, "2.00416836000897277799610805135016e-292");
 894   EXPECT_EQ(0x0360000000000000ull, test.bitcastToAPInt().getRawData()[0]);
 895   EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]);
 896
 897   test = APFloat(APFloat::PPCDoubleDouble, "1.0");
 898   test.add(APFloat(APFloat::PPCDoubleDouble, "0x1p-105"), APFloat::rmNearestTiesToEven);
 899   EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]);
 900   EXPECT_EQ(0x3960000000000000ull, test.bitcastToAPInt().getRawData()[1]);
 901
 902   test = APFloat(APFloat::PPCDoubleDouble, "1.0");
 903   test.add(APFloat(APFloat::PPCDoubleDouble, "0x1p-106"), APFloat::rmNearestTiesToEven);
 904   EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]);
 905 #if 0 // XFAIL
 906   // This is what we would expect with a true double-double implementation
 907   EXPECT_EQ(0x3950000000000000ull, test.bitcastToAPInt().getRawData()[1]);
 908 #else
 909   // This is what we get with our 106-bit mantissa approximation
 910   EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]);
 911 #endif
 912 }
 913 }