X-Git-Url: http://plrg.eecs.uci.edu/git/?a=blobdiff_plain;f=unittests%2FADT%2FAPFloatTest.cpp;h=c7ec16ba803a6cd5c130875b595067cd397484b1;hb=58c62e1dba9b9104cba04044d8c1678632bae729;hp=5382eacea267ab1832a355192f7fc6cdaf7e9516;hpb=4f71c1b2b9b1195d6f5107c433e06dedc0a61d14;p=oota-llvm.git diff --git a/unittests/ADT/APFloatTest.cpp b/unittests/ADT/APFloatTest.cpp index 5382eacea26..c7ec16ba803 100644 --- a/unittests/ADT/APFloatTest.cpp +++ b/unittests/ADT/APFloatTest.cpp @@ -474,6 +474,40 @@ TEST(APFloatTest, FMA) { f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven); EXPECT_EQ(12.0f, f1.convertToFloat()); } + + { + APFloat M1(APFloat::x87DoubleExtended, 1.0); + APFloat M2(APFloat::x87DoubleExtended, 1.0); + APFloat A(APFloat::x87DoubleExtended, 3.0); + + bool losesInfo = false; + M1.fusedMultiplyAdd(M1, A, APFloat::rmNearestTiesToEven); + M1.convert(APFloat::IEEEsingle, APFloat::rmNearestTiesToEven, &losesInfo); + EXPECT_FALSE(losesInfo); + EXPECT_EQ(4.0f, M1.convertToFloat()); + } +} + +TEST(APFloatTest, MinNum) { + APFloat f1(1.0); + APFloat f2(2.0); + APFloat nan = APFloat::getNaN(APFloat::IEEEdouble); + + EXPECT_EQ(1.0, minnum(f1, f2).convertToDouble()); + EXPECT_EQ(1.0, minnum(f2, f1).convertToDouble()); + EXPECT_EQ(1.0, minnum(f1, nan).convertToDouble()); + EXPECT_EQ(1.0, minnum(nan, f1).convertToDouble()); +} + +TEST(APFloatTest, MaxNum) { + APFloat f1(1.0); + APFloat f2(2.0); + APFloat nan = APFloat::getNaN(APFloat::IEEEdouble); + + EXPECT_EQ(2.0, maxnum(f1, f2).convertToDouble()); + EXPECT_EQ(2.0, maxnum(f2, f1).convertToDouble()); + EXPECT_EQ(1.0, maxnum(f1, nan).convertToDouble()); + EXPECT_EQ(1.0, minnum(nan, f1).convertToDouble()); } TEST(APFloatTest, Denormal) { @@ -538,6 +572,31 @@ TEST(APFloatTest, Zero) { EXPECT_TRUE(APFloat(-0.0).isNegative()); } +TEST(APFloatTest, DecimalStringsWithoutNullTerminators) { + // Make sure that we can parse strings without null terminators. + // rdar://14323230. + APFloat Val(APFloat::IEEEdouble); + Val.convertFromString(StringRef("0.00", 3), + llvm::APFloat::rmNearestTiesToEven); + EXPECT_EQ(Val.convertToDouble(), 0.0); + Val.convertFromString(StringRef("0.01", 3), + llvm::APFloat::rmNearestTiesToEven); + EXPECT_EQ(Val.convertToDouble(), 0.0); + Val.convertFromString(StringRef("0.09", 3), + llvm::APFloat::rmNearestTiesToEven); + EXPECT_EQ(Val.convertToDouble(), 0.0); + Val.convertFromString(StringRef("0.095", 4), + llvm::APFloat::rmNearestTiesToEven); + EXPECT_EQ(Val.convertToDouble(), 0.09); + Val.convertFromString(StringRef("0.00e+3", 7), + llvm::APFloat::rmNearestTiesToEven); + EXPECT_EQ(Val.convertToDouble(), 0.00); + Val.convertFromString(StringRef("0e+3", 4), + llvm::APFloat::rmNearestTiesToEven); + EXPECT_EQ(Val.convertToDouble(), 0.00); + +} + TEST(APFloatTest, fromZeroDecimalString) { EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0").convertToDouble()); @@ -741,6 +800,8 @@ TEST(APFloatTest, fromDecimalString) { EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "-99e99999").isInfinity()); EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "1e-99999").isPosZero()); EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "-1e-99999").isNegZero()); + + EXPECT_EQ(2.71828, convertToDoubleFromString("2.71828")); } TEST(APFloatTest, fromHexadecimalString) { @@ -824,7 +885,10 @@ TEST(APFloatTest, fromHexadecimalString) { EXPECT_EQ(1.0625, APFloat(APFloat::IEEEdouble, "0x1.1p0").convertToDouble()); EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "0x1p0").convertToDouble()); - EXPECT_EQ(2.71828, convertToDoubleFromString("2.71828")); + EXPECT_EQ(convertToDoubleFromString("0x1p-150"), + convertToDoubleFromString("+0x800000000000000001.p-221")); + EXPECT_EQ(2251799813685248.5, + convertToDoubleFromString("0x80000000000004000000.010p-28")); } TEST(APFloatTest, toString) { @@ -836,10 +900,11 @@ TEST(APFloatTest, toString) { ASSERT_EQ("0.0101", convertToString(1.01E-2, 5, 2)); ASSERT_EQ("0.0101", convertToString(1.01E-2, 4, 2)); ASSERT_EQ("1.01E-2", convertToString(1.01E-2, 5, 1)); - ASSERT_EQ("0.7853981633974483", convertToString(0.78539816339744830961, 0, 3)); - ASSERT_EQ("4.940656458412465E-324", convertToString(4.9406564584124654e-324, 0, 3)); - ASSERT_EQ("873.1834", convertToString(873.1834, 0, 1)); - ASSERT_EQ("8.731834E+2", convertToString(873.1834, 0, 0)); + ASSERT_EQ("0.78539816339744828", convertToString(0.78539816339744830961, 0, 3)); + ASSERT_EQ("4.9406564584124654E-324", convertToString(4.9406564584124654e-324, 0, 3)); + ASSERT_EQ("873.18340000000001", convertToString(873.1834, 0, 1)); + ASSERT_EQ("8.7318340000000001E+2", convertToString(873.1834, 0, 0)); + ASSERT_EQ("1.7976931348623157E+308", convertToString(1.7976931348623157E+308, 0, 0)); } TEST(APFloatTest, toInteger) { @@ -1142,11 +1207,11 @@ TEST(APFloatTest, exactInverse) { EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(8.5070592e+37f))); // Large float, inverse is a denormal. - EXPECT_FALSE(APFloat(1.7014118e38f).getExactInverse(0)); + EXPECT_FALSE(APFloat(1.7014118e38f).getExactInverse(nullptr)); // Zero - EXPECT_FALSE(APFloat(0.0).getExactInverse(0)); + EXPECT_FALSE(APFloat(0.0).getExactInverse(nullptr)); // Denormalized float - EXPECT_FALSE(APFloat(1.40129846e-45f).getExactInverse(0)); + EXPECT_FALSE(APFloat(1.40129846e-45f).getExactInverse(nullptr)); } TEST(APFloatTest, roundToIntegral) { @@ -1241,7 +1306,7 @@ TEST(APFloatTest, getSmallest) { EXPECT_TRUE(test.isNegative()); EXPECT_TRUE(test.isFiniteNonZero()); EXPECT_TRUE(test.isDenormal()); - EXPECT_TRUE(test.bitwiseIsEqual(expected)); + EXPECT_TRUE(test.bitwiseIsEqual(expected)); } TEST(APFloatTest, getSmallestNormalized) { @@ -1271,7 +1336,7 @@ TEST(APFloatTest, getSmallestNormalized) { EXPECT_TRUE(test.isNegative()); EXPECT_TRUE(test.isFiniteNonZero()); EXPECT_FALSE(test.isDenormal()); - EXPECT_TRUE(test.bitwiseIsEqual(expected)); + EXPECT_TRUE(test.bitwiseIsEqual(expected)); } TEST(APFloatTest, getZero) { @@ -1311,6 +1376,17 @@ TEST(APFloatTest, getZero) { } } +TEST(APFloatTest, copySign) { + EXPECT_TRUE(APFloat(-42.0).bitwiseIsEqual( + APFloat::copySign(APFloat(42.0), APFloat(-1.0)))); + EXPECT_TRUE(APFloat(42.0).bitwiseIsEqual( + APFloat::copySign(APFloat(-42.0), APFloat(1.0)))); + EXPECT_TRUE(APFloat(-42.0).bitwiseIsEqual( + APFloat::copySign(APFloat(-42.0), APFloat(-1.0)))); + EXPECT_TRUE(APFloat(42.0).bitwiseIsEqual( + APFloat::copySign(APFloat(42.0), APFloat(1.0)))); +} + TEST(APFloatTest, convert) { bool losesInfo; APFloat test(APFloat::IEEEdouble, "1.0"); @@ -1403,10 +1479,10 @@ TEST(APFloatTest, isNegative) { EXPECT_FALSE(t.isNegative()); t = APFloat(APFloat::IEEEsingle, "-0x1p+0"); EXPECT_TRUE(t.isNegative()); - + EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isNegative()); EXPECT_TRUE(APFloat::getInf(APFloat::IEEEsingle, true).isNegative()); - + EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isNegative()); EXPECT_TRUE(APFloat::getZero(APFloat::IEEEsingle, true).isNegative()); @@ -1417,25 +1493,25 @@ TEST(APFloatTest, isNegative) { EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, true).isNegative()); } -TEST(APFloatTest, isIEEENormal) { +TEST(APFloatTest, isNormal) { APFloat t(APFloat::IEEEsingle, "0x1p+0"); - EXPECT_TRUE(t.isIEEENormal()); - - EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isIEEENormal()); - EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isIEEENormal()); - EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isIEEENormal()); - EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isIEEENormal()); - EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-159").isIEEENormal()); + EXPECT_TRUE(t.isNormal()); + + EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isNormal()); + EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isNormal()); + EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isNormal()); + EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isNormal()); + EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-149").isNormal()); } TEST(APFloatTest, isFinite) { APFloat t(APFloat::IEEEsingle, "0x1p+0"); - EXPECT_TRUE(t.isFinite()); + EXPECT_TRUE(t.isFinite()); EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isFinite()); EXPECT_TRUE(APFloat::getZero(APFloat::IEEEsingle, false).isFinite()); EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isFinite()); - EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isFinite()); - EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "0x1p-159").isFinite()); + EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isFinite()); + EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "0x1p-149").isFinite()); } TEST(APFloatTest, isInfinity) { @@ -1444,18 +1520,18 @@ TEST(APFloatTest, isInfinity) { EXPECT_TRUE(APFloat::getInf(APFloat::IEEEsingle, false).isInfinity()); EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isInfinity()); EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isInfinity()); - EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isInfinity()); - EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-159").isInfinity()); + EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isInfinity()); + EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-149").isInfinity()); } TEST(APFloatTest, isNaN) { APFloat t(APFloat::IEEEsingle, "0x1p+0"); - EXPECT_FALSE(t.isNaN()); + EXPECT_FALSE(t.isNaN()); EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isNaN()); EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isNaN()); EXPECT_TRUE(APFloat::getNaN(APFloat::IEEEsingle, false).isNaN()); - EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, false).isNaN()); - EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-159").isNaN()); + EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, false).isNaN()); + EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-149").isNaN()); } TEST(APFloatTest, isFiniteNonZero) { @@ -1482,8 +1558,1281 @@ TEST(APFloatTest, isFiniteNonZero) { // Test +/- sNaN. +/- dont mean anything with sNaN but paranoia can't hurt in // this instance. - EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isFiniteNonZero()); - EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, true).isFiniteNonZero()); + EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isFiniteNonZero()); + EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, true).isFiniteNonZero()); } +TEST(APFloatTest, add) { + // Test Special Cases against each other and normal values. + + // TODOS/NOTES: + // 1. Since we perform only default exception handling all operations with + // signaling NaNs should have a result that is a quiet NaN. Currently they + // return sNaN. + + APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false); + APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true); + APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false); + APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true); + APFloat QNaN = APFloat::getNaN(APFloat::IEEEsingle, false); + APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle, false); + APFloat PNormalValue = APFloat(APFloat::IEEEsingle, "0x1p+0"); + APFloat MNormalValue = APFloat(APFloat::IEEEsingle, "-0x1p+0"); + APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle, false); + APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle, true); + APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, false); + APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, true); + APFloat PSmallestNormalized = + APFloat::getSmallestNormalized(APFloat::IEEEsingle, false); + APFloat MSmallestNormalized = + APFloat::getSmallestNormalized(APFloat::IEEEsingle, true); + + const int OverflowStatus = APFloat::opOverflow | APFloat::opInexact; + + const unsigned NumTests = 169; + struct { + APFloat x; + APFloat y; + const char *result; + int status; + int category; + } SpecialCaseTests[NumTests] = { + { PInf, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { PInf, PZero, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MZero, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 + // See Note 1. + { PInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PInf, PNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, PLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, PSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, PSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { MInf, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, PZero, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MZero, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 + // See Note 1. + { MInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MInf, PNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, PLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, PSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, PSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PZero, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PZero, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PZero, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 + // See Note 1. + { PZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PZero, PNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { PZero, MNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { PZero, PLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { PZero, MLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { PZero, PSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { PZero, MSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { PZero, PSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { PZero, MSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { MZero, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MZero, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MZero, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 + // See Note 1. + { MZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MZero, PNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { MZero, MNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { MZero, PLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { MZero, MLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { MZero, PSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { MZero, MSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { MZero, PSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { MZero, MSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { QNaN, PInf, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MInf, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, PZero, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MZero, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 + // See Note 1. + { QNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { QNaN, PNormalValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MNormalValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, PLargestValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MLargestValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, PSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, PSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 + // See Note 1. + { SNaN, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, QNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PNormalValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PNormalValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PNormalValue, PZero, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { PNormalValue, MZero, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { PNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 + // See Note 1. + { PNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PNormalValue, PNormalValue, "0x1p+1", APFloat::opOK, APFloat::fcNormal }, + { PNormalValue, MNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PNormalValue, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PNormalValue, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PNormalValue, PSmallestValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { PNormalValue, MSmallestValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { PNormalValue, PSmallestNormalized, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { PNormalValue, MSmallestNormalized, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { MNormalValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MNormalValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MNormalValue, PZero, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { MNormalValue, MZero, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { MNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 + // See Note 1. + { MNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MNormalValue, PNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MNormalValue, MNormalValue, "-0x1p+1", APFloat::opOK, APFloat::fcNormal }, + { MNormalValue, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MNormalValue, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MNormalValue, PSmallestValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { MNormalValue, MSmallestValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { MNormalValue, PSmallestNormalized, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { MNormalValue, MSmallestNormalized, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { PLargestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PLargestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PLargestValue, PZero, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { PLargestValue, MZero, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { PLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 + // See Note 1. + { PLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PLargestValue, PNormalValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PLargestValue, MNormalValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PLargestValue, PLargestValue, "inf", OverflowStatus, APFloat::fcInfinity }, + { PLargestValue, MLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PLargestValue, PSmallestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PLargestValue, MSmallestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PLargestValue, PSmallestNormalized, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PLargestValue, MSmallestNormalized, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MLargestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MLargestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MLargestValue, PZero, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { MLargestValue, MZero, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { MLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 + // See Note 1. + { MLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MLargestValue, PNormalValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MLargestValue, MNormalValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MLargestValue, PLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MLargestValue, MLargestValue, "-inf", OverflowStatus, APFloat::fcInfinity }, + { MLargestValue, PSmallestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MLargestValue, MSmallestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MLargestValue, PSmallestNormalized, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MLargestValue, MSmallestNormalized, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PSmallestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PSmallestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PSmallestValue, PZero, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { PSmallestValue, MZero, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { PSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 + // See Note 1. + { PSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PSmallestValue, PNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { PSmallestValue, MNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { PSmallestValue, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PSmallestValue, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PSmallestValue, PSmallestValue, "0x1p-148", APFloat::opOK, APFloat::fcNormal }, + { PSmallestValue, MSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PSmallestValue, PSmallestNormalized, "0x1.000002p-126", APFloat::opOK, APFloat::fcNormal }, + { PSmallestValue, MSmallestNormalized, "-0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MSmallestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MSmallestValue, PZero, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, MZero, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 + // See Note 1. + { MSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MSmallestValue, PNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { MSmallestValue, MNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { MSmallestValue, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MSmallestValue, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MSmallestValue, PSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MSmallestValue, MSmallestValue, "-0x1p-148", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, PSmallestNormalized, "0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, MSmallestNormalized, "-0x1.000002p-126", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PSmallestNormalized, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PSmallestNormalized, PZero, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, MZero, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PSmallestNormalized, PNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { PSmallestNormalized, MNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { PSmallestNormalized, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PSmallestNormalized, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PSmallestNormalized, PSmallestValue, "0x1.000002p-126", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, MSmallestValue, "0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, PSmallestNormalized, "0x1p-125", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, MSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MSmallestNormalized, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MSmallestNormalized, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MSmallestNormalized, PZero, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, MZero, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 + // See Note 1. + { MSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MSmallestNormalized, PNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { MSmallestNormalized, MNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { MSmallestNormalized, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MSmallestNormalized, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MSmallestNormalized, PSmallestValue, "-0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, MSmallestValue, "-0x1.000002p-126", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, PSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MSmallestNormalized, MSmallestNormalized, "-0x1p-125", APFloat::opOK, APFloat::fcNormal } + }; + + for (size_t i = 0; i < NumTests; ++i) { + APFloat x(SpecialCaseTests[i].x); + APFloat y(SpecialCaseTests[i].y); + APFloat::opStatus status = x.add(y, APFloat::rmNearestTiesToEven); + + APFloat result(APFloat::IEEEsingle, SpecialCaseTests[i].result); + + EXPECT_TRUE(result.bitwiseIsEqual(x)); + EXPECT_TRUE((int)status == SpecialCaseTests[i].status); + EXPECT_TRUE((int)x.getCategory() == SpecialCaseTests[i].category); + } +} + +TEST(APFloatTest, subtract) { + // Test Special Cases against each other and normal values. + + // TODOS/NOTES: + // 1. Since we perform only default exception handling all operations with + // signaling NaNs should have a result that is a quiet NaN. Currently they + // return sNaN. + + APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false); + APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true); + APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false); + APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true); + APFloat QNaN = APFloat::getNaN(APFloat::IEEEsingle, false); + APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle, false); + APFloat PNormalValue = APFloat(APFloat::IEEEsingle, "0x1p+0"); + APFloat MNormalValue = APFloat(APFloat::IEEEsingle, "-0x1p+0"); + APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle, false); + APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle, true); + APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, false); + APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, true); + APFloat PSmallestNormalized = + APFloat::getSmallestNormalized(APFloat::IEEEsingle, false); + APFloat MSmallestNormalized = + APFloat::getSmallestNormalized(APFloat::IEEEsingle, true); + + const int OverflowStatus = APFloat::opOverflow | APFloat::opInexact; + + const unsigned NumTests = 169; + struct { + APFloat x; + APFloat y; + const char *result; + int status; + int category; + } SpecialCaseTests[NumTests] = { + { PInf, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { PInf, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, PZero, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MZero, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PInf, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PInf, PNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, PLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, PSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, PSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { MInf, PZero, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MZero, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { MInf, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MInf, PNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, PLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, PSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, PSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PZero, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PZero, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PZero, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PZero, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PZero, PNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { PZero, MNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { PZero, PLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { PZero, MLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { PZero, PSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { PZero, MSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { PZero, PSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { PZero, MSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { MZero, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MZero, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MZero, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { MZero, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MZero, PNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { MZero, MNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { MZero, PLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { MZero, MLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { MZero, PSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { MZero, MSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { MZero, PSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { MZero, MSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { QNaN, PInf, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MInf, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, PZero, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MZero, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { QNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { QNaN, PNormalValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MNormalValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, PLargestValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MLargestValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, PSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, PSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { SNaN, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, QNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PNormalValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PNormalValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PNormalValue, PZero, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { PNormalValue, MZero, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { PNormalValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PNormalValue, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PNormalValue, PNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PNormalValue, MNormalValue, "0x1p+1", APFloat::opOK, APFloat::fcNormal }, + { PNormalValue, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PNormalValue, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PNormalValue, PSmallestValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { PNormalValue, MSmallestValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { PNormalValue, PSmallestNormalized, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { PNormalValue, MSmallestNormalized, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { MNormalValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MNormalValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MNormalValue, PZero, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { MNormalValue, MZero, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { MNormalValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { MNormalValue, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MNormalValue, PNormalValue, "-0x1p+1", APFloat::opOK, APFloat::fcNormal }, + { MNormalValue, MNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MNormalValue, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MNormalValue, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MNormalValue, PSmallestValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { MNormalValue, MSmallestValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { MNormalValue, PSmallestNormalized, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { MNormalValue, MSmallestNormalized, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { PLargestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PLargestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PLargestValue, PZero, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { PLargestValue, MZero, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { PLargestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PLargestValue, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PLargestValue, PNormalValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PLargestValue, MNormalValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PLargestValue, PLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PLargestValue, MLargestValue, "inf", OverflowStatus, APFloat::fcInfinity }, + { PLargestValue, PSmallestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PLargestValue, MSmallestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PLargestValue, PSmallestNormalized, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PLargestValue, MSmallestNormalized, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MLargestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MLargestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MLargestValue, PZero, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { MLargestValue, MZero, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { MLargestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { MLargestValue, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MLargestValue, PNormalValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MLargestValue, MNormalValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MLargestValue, PLargestValue, "-inf", OverflowStatus, APFloat::fcInfinity }, + { MLargestValue, MLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MLargestValue, PSmallestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MLargestValue, MSmallestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MLargestValue, PSmallestNormalized, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MLargestValue, MSmallestNormalized, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PSmallestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PSmallestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PSmallestValue, PZero, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { PSmallestValue, MZero, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { PSmallestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PSmallestValue, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PSmallestValue, PNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { PSmallestValue, MNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { PSmallestValue, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PSmallestValue, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PSmallestValue, PSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PSmallestValue, MSmallestValue, "0x1p-148", APFloat::opOK, APFloat::fcNormal }, + { PSmallestValue, PSmallestNormalized, "-0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal }, + { PSmallestValue, MSmallestNormalized, "0x1.000002p-126", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MSmallestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MSmallestValue, PZero, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, MZero, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { MSmallestValue, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MSmallestValue, PNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { MSmallestValue, MNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { MSmallestValue, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MSmallestValue, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MSmallestValue, PSmallestValue, "-0x1p-148", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, MSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MSmallestValue, PSmallestNormalized, "-0x1.000002p-126", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, MSmallestNormalized, "0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PSmallestNormalized, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PSmallestNormalized, PZero, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, MZero, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PSmallestNormalized, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PSmallestNormalized, PNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { PSmallestNormalized, MNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { PSmallestNormalized, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PSmallestNormalized, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { PSmallestNormalized, PSmallestValue, "0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, MSmallestValue, "0x1.000002p-126", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, PSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PSmallestNormalized, MSmallestNormalized, "0x1p-125", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MSmallestNormalized, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MSmallestNormalized, PZero, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, MZero, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { MSmallestNormalized, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MSmallestNormalized, PNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { MSmallestNormalized, MNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal }, + { MSmallestNormalized, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MSmallestNormalized, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal }, + { MSmallestNormalized, PSmallestValue, "-0x1.000002p-126", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, MSmallestValue, "-0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, PSmallestNormalized, "-0x1p-125", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, MSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero } + }; + + for (size_t i = 0; i < NumTests; ++i) { + APFloat x(SpecialCaseTests[i].x); + APFloat y(SpecialCaseTests[i].y); + APFloat::opStatus status = x.subtract(y, APFloat::rmNearestTiesToEven); + + APFloat result(APFloat::IEEEsingle, SpecialCaseTests[i].result); + + EXPECT_TRUE(result.bitwiseIsEqual(x)); + EXPECT_TRUE((int)status == SpecialCaseTests[i].status); + EXPECT_TRUE((int)x.getCategory() == SpecialCaseTests[i].category); + } +} + +TEST(APFloatTest, multiply) { + // Test Special Cases against each other and normal values. + + // TODOS/NOTES: + // 1. Since we perform only default exception handling all operations with + // signaling NaNs should have a result that is a quiet NaN. Currently they + // return sNaN. + + APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false); + APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true); + APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false); + APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true); + APFloat QNaN = APFloat::getNaN(APFloat::IEEEsingle, false); + APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle, false); + APFloat PNormalValue = APFloat(APFloat::IEEEsingle, "0x1p+0"); + APFloat MNormalValue = APFloat(APFloat::IEEEsingle, "-0x1p+0"); + APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle, false); + APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle, true); + APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, false); + APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, true); + APFloat PSmallestNormalized = + APFloat::getSmallestNormalized(APFloat::IEEEsingle, false); + APFloat MSmallestNormalized = + APFloat::getSmallestNormalized(APFloat::IEEEsingle, true); + + const int OverflowStatus = APFloat::opOverflow | APFloat::opInexact; + const int UnderflowStatus = APFloat::opUnderflow | APFloat::opInexact; + + const unsigned NumTests = 169; + struct { + APFloat x; + APFloat y; + const char *result; + int status; + int category; + } SpecialCaseTests[NumTests] = { + { PInf, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { PInf, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { PInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PInf, PNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, PLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, PSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, PSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { MInf, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { MInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { MInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MInf, PNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, PLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, PSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, PSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PZero, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { PZero, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { PZero, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PZero, PNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, MNormalValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, PLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, MLargestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, PSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, MSmallestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, PSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, MSmallestNormalized, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { MZero, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { MZero, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { MZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MZero, PNormalValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, MNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, PLargestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, MLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, PSmallestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, MSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, PSmallestNormalized, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, MSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { QNaN, PInf, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MInf, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, PZero, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MZero, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { QNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { QNaN, PNormalValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MNormalValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, PLargestValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MLargestValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, PSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, PSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { SNaN, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, QNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PNormalValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PNormalValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PNormalValue, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PNormalValue, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PNormalValue, PNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { PNormalValue, MNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { PNormalValue, PLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { PNormalValue, MLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { PNormalValue, PSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { PNormalValue, MSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { PNormalValue, PSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { PNormalValue, MSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { MNormalValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MNormalValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MNormalValue, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MNormalValue, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { MNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MNormalValue, PNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { MNormalValue, MNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { MNormalValue, PLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { MNormalValue, MLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { MNormalValue, PSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { MNormalValue, MSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { MNormalValue, PSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { MNormalValue, MSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { PLargestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PLargestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PLargestValue, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PLargestValue, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PLargestValue, PNormalValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { PLargestValue, MNormalValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { PLargestValue, PLargestValue, "inf", OverflowStatus, APFloat::fcInfinity }, + { PLargestValue, MLargestValue, "-inf", OverflowStatus, APFloat::fcInfinity }, + { PLargestValue, PSmallestValue, "0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal }, + { PLargestValue, MSmallestValue, "-0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal }, + { PLargestValue, PSmallestNormalized, "0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal }, + { PLargestValue, MSmallestNormalized, "-0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal }, + { MLargestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MLargestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MLargestValue, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MLargestValue, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { MLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MLargestValue, PNormalValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { MLargestValue, MNormalValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { MLargestValue, PLargestValue, "-inf", OverflowStatus, APFloat::fcInfinity }, + { MLargestValue, MLargestValue, "inf", OverflowStatus, APFloat::fcInfinity }, + { MLargestValue, PSmallestValue, "-0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal }, + { MLargestValue, MSmallestValue, "0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal }, + { MLargestValue, PSmallestNormalized, "-0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal }, + { MLargestValue, MSmallestNormalized, "0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal }, + { PSmallestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PSmallestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PSmallestValue, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PSmallestValue, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PSmallestValue, PNormalValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { PSmallestValue, MNormalValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { PSmallestValue, PLargestValue, "0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal }, + { PSmallestValue, MLargestValue, "-0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal }, + { PSmallestValue, PSmallestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero }, + { PSmallestValue, MSmallestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, + { PSmallestValue, PSmallestNormalized, "0x0p+0", UnderflowStatus, APFloat::fcZero }, + { PSmallestValue, MSmallestNormalized, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, + { MSmallestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MSmallestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MSmallestValue, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MSmallestValue, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { MSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MSmallestValue, PNormalValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, MNormalValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, PLargestValue, "-0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, MLargestValue, "0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, PSmallestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, + { MSmallestValue, MSmallestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero }, + { MSmallestValue, PSmallestNormalized, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, + { MSmallestValue, MSmallestNormalized, "0x0p+0", UnderflowStatus, APFloat::fcZero }, + { PSmallestNormalized, PInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PSmallestNormalized, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PSmallestNormalized, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PSmallestNormalized, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PSmallestNormalized, PNormalValue, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, MNormalValue, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, PLargestValue, "0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, MLargestValue, "-0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, PSmallestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero }, + { PSmallestNormalized, MSmallestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, + { PSmallestNormalized, PSmallestNormalized, "0x0p+0", UnderflowStatus, APFloat::fcZero }, + { PSmallestNormalized, MSmallestNormalized, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, + { MSmallestNormalized, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MSmallestNormalized, MInf, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MSmallestNormalized, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MSmallestNormalized, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { MSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MSmallestNormalized, PNormalValue, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, MNormalValue, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, PLargestValue, "-0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, MLargestValue, "0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, PSmallestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, + { MSmallestNormalized, MSmallestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero }, + { MSmallestNormalized, PSmallestNormalized, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, + { MSmallestNormalized, MSmallestNormalized, "0x0p+0", UnderflowStatus, APFloat::fcZero } + }; + + for (size_t i = 0; i < NumTests; ++i) { + APFloat x(SpecialCaseTests[i].x); + APFloat y(SpecialCaseTests[i].y); + APFloat::opStatus status = x.multiply(y, APFloat::rmNearestTiesToEven); + + APFloat result(APFloat::IEEEsingle, SpecialCaseTests[i].result); + + EXPECT_TRUE(result.bitwiseIsEqual(x)); + EXPECT_TRUE((int)status == SpecialCaseTests[i].status); + EXPECT_TRUE((int)x.getCategory() == SpecialCaseTests[i].category); + } +} + +TEST(APFloatTest, divide) { + // Test Special Cases against each other and normal values. + + // TODOS/NOTES: + // 1. Since we perform only default exception handling all operations with + // signaling NaNs should have a result that is a quiet NaN. Currently they + // return sNaN. + + APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false); + APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true); + APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false); + APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true); + APFloat QNaN = APFloat::getNaN(APFloat::IEEEsingle, false); + APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle, false); + APFloat PNormalValue = APFloat(APFloat::IEEEsingle, "0x1p+0"); + APFloat MNormalValue = APFloat(APFloat::IEEEsingle, "-0x1p+0"); + APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle, false); + APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle, true); + APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, false); + APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, true); + APFloat PSmallestNormalized = + APFloat::getSmallestNormalized(APFloat::IEEEsingle, false); + APFloat MSmallestNormalized = + APFloat::getSmallestNormalized(APFloat::IEEEsingle, true); + + const int OverflowStatus = APFloat::opOverflow | APFloat::opInexact; + const int UnderflowStatus = APFloat::opUnderflow | APFloat::opInexact; + + const unsigned NumTests = 169; + struct { + APFloat x; + APFloat y; + const char *result; + int status; + int category; + } SpecialCaseTests[NumTests] = { + { PInf, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { PInf, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { PInf, PZero, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MZero, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PInf, PNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, PLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, PSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, PSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PInf, MSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { MInf, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { MInf, PZero, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MZero, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { MInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MInf, PNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, PLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, PSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, PSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity }, + { MInf, MSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity }, + { PZero, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { PZero, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { PZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PZero, PNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, MNormalValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, PLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, MLargestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, PSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, MSmallestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, PSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PZero, MSmallestNormalized, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { MZero, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { MZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { MZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MZero, PNormalValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, MNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, PLargestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, MLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, PSmallestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, MSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, PSmallestNormalized, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MZero, MSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { QNaN, PInf, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MInf, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, PZero, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MZero, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { QNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { QNaN, PNormalValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MNormalValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, PLargestValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MLargestValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, PSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, PSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN }, + { QNaN, MSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { SNaN, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, QNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, PSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, + { SNaN, MSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PNormalValue, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PNormalValue, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PNormalValue, PZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity }, + { PNormalValue, MZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity }, + { PNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PNormalValue, PNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { PNormalValue, MNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { PNormalValue, PLargestValue, "0x1p-128", UnderflowStatus, APFloat::fcNormal }, + { PNormalValue, MLargestValue, "-0x1p-128", UnderflowStatus, APFloat::fcNormal }, + { PNormalValue, PSmallestValue, "inf", OverflowStatus, APFloat::fcInfinity }, + { PNormalValue, MSmallestValue, "-inf", OverflowStatus, APFloat::fcInfinity }, + { PNormalValue, PSmallestNormalized, "0x1p+126", APFloat::opOK, APFloat::fcNormal }, + { PNormalValue, MSmallestNormalized, "-0x1p+126", APFloat::opOK, APFloat::fcNormal }, + { MNormalValue, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MNormalValue, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MNormalValue, PZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity }, + { MNormalValue, MZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity }, + { MNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { MNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MNormalValue, PNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { MNormalValue, MNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { MNormalValue, PLargestValue, "-0x1p-128", UnderflowStatus, APFloat::fcNormal }, + { MNormalValue, MLargestValue, "0x1p-128", UnderflowStatus, APFloat::fcNormal }, + { MNormalValue, PSmallestValue, "-inf", OverflowStatus, APFloat::fcInfinity }, + { MNormalValue, MSmallestValue, "inf", OverflowStatus, APFloat::fcInfinity }, + { MNormalValue, PSmallestNormalized, "-0x1p+126", APFloat::opOK, APFloat::fcNormal }, + { MNormalValue, MSmallestNormalized, "0x1p+126", APFloat::opOK, APFloat::fcNormal }, + { PLargestValue, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PLargestValue, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PLargestValue, PZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity }, + { PLargestValue, MZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity }, + { PLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PLargestValue, PNormalValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { PLargestValue, MNormalValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { PLargestValue, PLargestValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { PLargestValue, MLargestValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { PLargestValue, PSmallestValue, "inf", OverflowStatus, APFloat::fcInfinity }, + { PLargestValue, MSmallestValue, "-inf", OverflowStatus, APFloat::fcInfinity }, + { PLargestValue, PSmallestNormalized, "inf", OverflowStatus, APFloat::fcInfinity }, + { PLargestValue, MSmallestNormalized, "-inf", OverflowStatus, APFloat::fcInfinity }, + { MLargestValue, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MLargestValue, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MLargestValue, PZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity }, + { MLargestValue, MZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity }, + { MLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { MLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MLargestValue, PNormalValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { MLargestValue, MNormalValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal }, + { MLargestValue, PLargestValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { MLargestValue, MLargestValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { MLargestValue, PSmallestValue, "-inf", OverflowStatus, APFloat::fcInfinity }, + { MLargestValue, MSmallestValue, "inf", OverflowStatus, APFloat::fcInfinity }, + { MLargestValue, PSmallestNormalized, "-inf", OverflowStatus, APFloat::fcInfinity }, + { MLargestValue, MSmallestNormalized, "inf", OverflowStatus, APFloat::fcInfinity }, + { PSmallestValue, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PSmallestValue, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PSmallestValue, PZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity }, + { PSmallestValue, MZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity }, + { PSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PSmallestValue, PNormalValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { PSmallestValue, MNormalValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { PSmallestValue, PLargestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero }, + { PSmallestValue, MLargestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, + { PSmallestValue, PSmallestValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { PSmallestValue, MSmallestValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { PSmallestValue, PSmallestNormalized, "0x1p-23", APFloat::opOK, APFloat::fcNormal }, + { PSmallestValue, MSmallestNormalized, "-0x1p-23", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MSmallestValue, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MSmallestValue, PZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity }, + { MSmallestValue, MZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity }, + { MSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { MSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MSmallestValue, PNormalValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, MNormalValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, PLargestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, + { MSmallestValue, MLargestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero }, + { MSmallestValue, PSmallestValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, MSmallestValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, PSmallestNormalized, "-0x1p-23", APFloat::opOK, APFloat::fcNormal }, + { MSmallestValue, MSmallestNormalized, "0x1p-23", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PSmallestNormalized, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { PSmallestNormalized, PZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity }, + { PSmallestNormalized, MZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity }, + { PSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { PSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { PSmallestNormalized, PNormalValue, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, MNormalValue, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, PLargestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero }, + { PSmallestNormalized, MLargestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, + { PSmallestNormalized, PSmallestValue, "0x1p+23", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, MSmallestValue, "-0x1p+23", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, PSmallestNormalized, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { PSmallestNormalized, MSmallestNormalized, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MSmallestNormalized, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero }, + { MSmallestNormalized, PZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity }, + { MSmallestNormalized, MZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity }, + { MSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN }, +#if 0 +// See Note 1. + { MSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN }, +#endif + { MSmallestNormalized, PNormalValue, "-0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, MNormalValue, "0x1p-126", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, PLargestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero }, + { MSmallestNormalized, MLargestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero }, + { MSmallestNormalized, PSmallestValue, "-0x1p+23", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, MSmallestValue, "0x1p+23", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, PSmallestNormalized, "-0x1p+0", APFloat::opOK, APFloat::fcNormal }, + { MSmallestNormalized, MSmallestNormalized, "0x1p+0", APFloat::opOK, APFloat::fcNormal }, + }; + + for (size_t i = 0; i < NumTests; ++i) { + APFloat x(SpecialCaseTests[i].x); + APFloat y(SpecialCaseTests[i].y); + APFloat::opStatus status = x.divide(y, APFloat::rmNearestTiesToEven); + + APFloat result(APFloat::IEEEsingle, SpecialCaseTests[i].result); + + EXPECT_TRUE(result.bitwiseIsEqual(x)); + EXPECT_TRUE((int)status == SpecialCaseTests[i].status); + EXPECT_TRUE((int)x.getCategory() == SpecialCaseTests[i].category); + } +} + +TEST(APFloatTest, operatorOverloads) { + // This is mostly testing that these operator overloads compile. + APFloat One = APFloat(APFloat::IEEEsingle, "0x1p+0"); + APFloat Two = APFloat(APFloat::IEEEsingle, "0x2p+0"); + EXPECT_TRUE(Two.bitwiseIsEqual(One + One)); + EXPECT_TRUE(One.bitwiseIsEqual(Two - One)); + EXPECT_TRUE(Two.bitwiseIsEqual(One * Two)); + EXPECT_TRUE(One.bitwiseIsEqual(Two / Two)); +} + +TEST(APFloatTest, abs) { + APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false); + APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true); + APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false); + APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true); + APFloat PQNaN = APFloat::getNaN(APFloat::IEEEsingle, false); + APFloat MQNaN = APFloat::getNaN(APFloat::IEEEsingle, true); + APFloat PSNaN = APFloat::getSNaN(APFloat::IEEEsingle, false); + APFloat MSNaN = APFloat::getSNaN(APFloat::IEEEsingle, true); + APFloat PNormalValue = APFloat(APFloat::IEEEsingle, "0x1p+0"); + APFloat MNormalValue = APFloat(APFloat::IEEEsingle, "-0x1p+0"); + APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle, false); + APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle, true); + APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, false); + APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, true); + APFloat PSmallestNormalized = + APFloat::getSmallestNormalized(APFloat::IEEEsingle, false); + APFloat MSmallestNormalized = + APFloat::getSmallestNormalized(APFloat::IEEEsingle, true); + + EXPECT_TRUE(PInf.bitwiseIsEqual(abs(PInf))); + EXPECT_TRUE(PInf.bitwiseIsEqual(abs(MInf))); + EXPECT_TRUE(PZero.bitwiseIsEqual(abs(PZero))); + EXPECT_TRUE(PZero.bitwiseIsEqual(abs(MZero))); + EXPECT_TRUE(PQNaN.bitwiseIsEqual(abs(PQNaN))); + EXPECT_TRUE(PQNaN.bitwiseIsEqual(abs(MQNaN))); + EXPECT_TRUE(PSNaN.bitwiseIsEqual(abs(PSNaN))); + EXPECT_TRUE(PSNaN.bitwiseIsEqual(abs(MSNaN))); + EXPECT_TRUE(PNormalValue.bitwiseIsEqual(abs(PNormalValue))); + EXPECT_TRUE(PNormalValue.bitwiseIsEqual(abs(MNormalValue))); + EXPECT_TRUE(PLargestValue.bitwiseIsEqual(abs(PLargestValue))); + EXPECT_TRUE(PLargestValue.bitwiseIsEqual(abs(MLargestValue))); + EXPECT_TRUE(PSmallestValue.bitwiseIsEqual(abs(PSmallestValue))); + EXPECT_TRUE(PSmallestValue.bitwiseIsEqual(abs(MSmallestValue))); + EXPECT_TRUE(PSmallestNormalized.bitwiseIsEqual(abs(PSmallestNormalized))); + EXPECT_TRUE(PSmallestNormalized.bitwiseIsEqual(abs(MSmallestNormalized))); +} + +TEST(APFloatTest, ilogb) { + EXPECT_EQ(0, ilogb(APFloat(APFloat::IEEEsingle, "0x1p+0"))); + EXPECT_EQ(0, ilogb(APFloat(APFloat::IEEEsingle, "-0x1p+0"))); + EXPECT_EQ(42, ilogb(APFloat(APFloat::IEEEsingle, "0x1p+42"))); + EXPECT_EQ(-42, ilogb(APFloat(APFloat::IEEEsingle, "0x1p-42"))); + + EXPECT_EQ(APFloat::IEK_Inf, + ilogb(APFloat::getInf(APFloat::IEEEsingle, false))); + EXPECT_EQ(APFloat::IEK_Inf, + ilogb(APFloat::getInf(APFloat::IEEEsingle, true))); + EXPECT_EQ(APFloat::IEK_Zero, + ilogb(APFloat::getZero(APFloat::IEEEsingle, false))); + EXPECT_EQ(APFloat::IEK_Zero, + ilogb(APFloat::getZero(APFloat::IEEEsingle, true))); + EXPECT_EQ(APFloat::IEK_NaN, + ilogb(APFloat::getNaN(APFloat::IEEEsingle, false))); + EXPECT_EQ(APFloat::IEK_NaN, + ilogb(APFloat::getSNaN(APFloat::IEEEsingle, false))); + + EXPECT_EQ(127, ilogb(APFloat::getLargest(APFloat::IEEEsingle, false))); + EXPECT_EQ(127, ilogb(APFloat::getLargest(APFloat::IEEEsingle, true))); + EXPECT_EQ(-126, ilogb(APFloat::getSmallest(APFloat::IEEEsingle, false))); + EXPECT_EQ(-126, ilogb(APFloat::getSmallest(APFloat::IEEEsingle, true))); + EXPECT_EQ(-126, + ilogb(APFloat::getSmallestNormalized(APFloat::IEEEsingle, false))); + EXPECT_EQ(-126, + ilogb(APFloat::getSmallestNormalized(APFloat::IEEEsingle, true))); +} + +TEST(APFloatTest, scalbn) { + EXPECT_TRUE( + APFloat(APFloat::IEEEsingle, "0x1p+0") + .bitwiseIsEqual(scalbn(APFloat(APFloat::IEEEsingle, "0x1p+0"), 0))); + EXPECT_TRUE( + APFloat(APFloat::IEEEsingle, "0x1p+42") + .bitwiseIsEqual(scalbn(APFloat(APFloat::IEEEsingle, "0x1p+0"), 42))); + EXPECT_TRUE( + APFloat(APFloat::IEEEsingle, "0x1p-42") + .bitwiseIsEqual(scalbn(APFloat(APFloat::IEEEsingle, "0x1p+0"), -42))); + + APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false); + APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true); + APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false); + APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true); + APFloat QPNaN = APFloat::getNaN(APFloat::IEEEsingle, false); + APFloat QMNaN = APFloat::getNaN(APFloat::IEEEsingle, true); + APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle, false); + + EXPECT_TRUE(PInf.bitwiseIsEqual(scalbn(PInf, 0))); + EXPECT_TRUE(MInf.bitwiseIsEqual(scalbn(MInf, 0))); + EXPECT_TRUE(PZero.bitwiseIsEqual(scalbn(PZero, 0))); + EXPECT_TRUE(MZero.bitwiseIsEqual(scalbn(MZero, 0))); + EXPECT_TRUE(QPNaN.bitwiseIsEqual(scalbn(QPNaN, 0))); + EXPECT_TRUE(QMNaN.bitwiseIsEqual(scalbn(QMNaN, 0))); + EXPECT_TRUE(SNaN.bitwiseIsEqual(scalbn(SNaN, 0))); + + EXPECT_TRUE( + PInf.bitwiseIsEqual(scalbn(APFloat(APFloat::IEEEsingle, "0x1p+0"), 128))); + EXPECT_TRUE(MInf.bitwiseIsEqual( + scalbn(APFloat(APFloat::IEEEsingle, "-0x1p+0"), 128))); + EXPECT_TRUE( + PInf.bitwiseIsEqual(scalbn(APFloat(APFloat::IEEEsingle, "0x1p+127"), 1))); + EXPECT_TRUE(PZero.bitwiseIsEqual( + scalbn(APFloat(APFloat::IEEEsingle, "0x1p+0"), -127))); + EXPECT_TRUE(MZero.bitwiseIsEqual( + scalbn(APFloat(APFloat::IEEEsingle, "-0x1p+0"), -127))); + EXPECT_TRUE(PZero.bitwiseIsEqual( + scalbn(APFloat(APFloat::IEEEsingle, "0x1p-126"), -1))); + EXPECT_TRUE(PZero.bitwiseIsEqual( + scalbn(APFloat(APFloat::IEEEsingle, "0x1p-126"), -1))); +} }