#include "llvm/ADT/SmallVector.h"
#include "llvm/Support/raw_ostream.h"
#include "gtest/gtest.h"
+#include <cmath>
#include <ostream>
#include <string>
f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven);
EXPECT_EQ(12.0f, f1.convertToFloat());
}
+
+ // Test for correct zero sign when answer is exactly zero.
+ // fma(1.0, -1.0, 1.0) -> +ve 0.
+ {
+ APFloat f1(1.0);
+ APFloat f2(-1.0);
+ APFloat f3(1.0);
+ f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven);
+ EXPECT_TRUE(!f1.isNegative() && f1.isZero());
+ }
+
+ // Test for correct zero sign when answer is exactly zero and rounding towards
+ // negative.
+ // fma(1.0, -1.0, 1.0) -> +ve 0.
+ {
+ APFloat f1(1.0);
+ APFloat f2(-1.0);
+ APFloat f3(1.0);
+ f1.fusedMultiplyAdd(f2, f3, APFloat::rmTowardNegative);
+ EXPECT_TRUE(f1.isNegative() && f1.isZero());
+ }
+
+ // Test for correct (in this case -ve) sign when adding like signed zeros.
+ // Test fma(0.0, -0.0, -0.0) -> -ve 0.
+ {
+ APFloat f1(0.0);
+ APFloat f2(-0.0);
+ APFloat f3(-0.0);
+ f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven);
+ EXPECT_TRUE(f1.isNegative() && f1.isZero());
+ }
+
+ // Test -ve sign preservation when small negative results underflow.
+ {
+ APFloat f1(APFloat::IEEEdouble, "-0x1p-1074");
+ APFloat f2(APFloat::IEEEdouble, "+0x1p-1074");
+ APFloat f3(0.0);
+ f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven);
+ EXPECT_TRUE(f1.isNegative() && f1.isZero());
+ }
+
+ // Test x87 extended precision case from http://llvm.org/PR20728.
+ {
+ 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) {
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());
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) {
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) {
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) {
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) {
EXPECT_EQ(-0.0, P.convertToDouble());
P = APFloat::getNaN(APFloat::IEEEdouble);
P.roundToIntegral(APFloat::rmTowardZero);
- EXPECT_TRUE(IsNAN(P.convertToDouble()));
+ EXPECT_TRUE(std::isnan(P.convertToDouble()));
P = APFloat::getInf(APFloat::IEEEdouble);
P.roundToIntegral(APFloat::rmTowardZero);
- EXPECT_TRUE(IsInf(P.convertToDouble()) && P.convertToDouble() > 0.0);
+ EXPECT_TRUE(std::isinf(P.convertToDouble()) && P.convertToDouble() > 0.0);
P = APFloat::getInf(APFloat::IEEEdouble, true);
P.roundToIntegral(APFloat::rmTowardZero);
- EXPECT_TRUE(IsInf(P.convertToDouble()) && P.convertToDouble() < 0.0);
+ EXPECT_TRUE(std::isinf(P.convertToDouble()) && P.convertToDouble() < 0.0);
}
}
}
+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");
// 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.
- // 2. It seems that add(-x, NaN) = -NaN but add(NaN, -x) = NaN. This is an
- // inconsistency that should be looked into. IEEE-754R specifies that the
- // interpretation of the sign of NaN is unspecified. We should always have NaN
- // be positive since that is one less thing for the compiler to deal with.
APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false);
APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true);
{ MInf, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
{ MInf, PZero, "-inf", APFloat::opOK, APFloat::fcInfinity },
{ MInf, MZero, "-inf", APFloat::opOK, APFloat::fcInfinity },
- // See Note 2.
- { MInf, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
+ { MInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
#if 0
// See Note 1.
{ MInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
{ MZero, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
{ MZero, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
{ MZero, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
- // See Note 2.
- { MZero, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
+ { MZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
#if 0
// See Note 1.
{ MZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
{ MNormalValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
{ MNormalValue, PZero, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
{ MNormalValue, MZero, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
- // See Note 2.
- { MNormalValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
+ { MNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
#if 0
// See Note 1.
{ MNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
{ 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 },
- // See Note 2.
- { MLargestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
+ { MLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
#if 0
// See Note 1.
{ MLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
{ MSmallestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
{ MSmallestValue, PZero, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
{ MSmallestValue, MZero, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
- // See Note 2.
- { MSmallestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
+ { MSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
#if 0
// See Note 1.
{ MSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
{ MSmallestNormalized, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
{ MSmallestNormalized, PZero, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
{ MSmallestNormalized, MZero, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
- // See Note 2.
- { MSmallestNormalized, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
+ { MSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
#if 0
// See Note 1.
{ MSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
}
}
+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)));
+}
}
projects / oota-llvm.git / blobdiff