//===- llvm/unittest/ADT/APFloat.cpp - APFloat unit tests ---------------------===// // // The LLVM Compiler Infrastructure // // This file is distributed under the University of Illinois Open Source // License. See LICENSE.TXT for details. // //===----------------------------------------------------------------------===// #include "llvm/ADT/APFloat.h" #include "llvm/ADT/APSInt.h" #include "llvm/ADT/SmallString.h" #include "llvm/ADT/SmallVector.h" #include "llvm/Support/raw_ostream.h" #include "gtest/gtest.h" #include #include using namespace llvm; static double convertToDoubleFromString(const char *Str) { llvm::APFloat F(0.0); F.convertFromString(Str, llvm::APFloat::rmNearestTiesToEven); return F.convertToDouble(); } static std::string convertToString(double d, unsigned Prec, unsigned Pad) { llvm::SmallVector Buffer; llvm::APFloat F(d); F.toString(Buffer, Prec, Pad); return std::string(Buffer.data(), Buffer.size()); } namespace { TEST(APFloatTest, isSignaling) { // We test qNaN, -qNaN, +sNaN, -sNaN with and without payloads. *NOTE* The // positive/negative distinction is included only since the getQNaN/getSNaN // API provides the option. APInt payload = APInt::getOneBitSet(4, 2); EXPECT_FALSE(APFloat::getQNaN(APFloat::IEEEsingle, false).isSignaling()); EXPECT_FALSE(APFloat::getQNaN(APFloat::IEEEsingle, true).isSignaling()); EXPECT_FALSE(APFloat::getQNaN(APFloat::IEEEsingle, false, &payload).isSignaling()); EXPECT_FALSE(APFloat::getQNaN(APFloat::IEEEsingle, true, &payload).isSignaling()); EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, false).isSignaling()); EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, true).isSignaling()); EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, false, &payload).isSignaling()); EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, true, &payload).isSignaling()); } TEST(APFloatTest, next) { APFloat test(APFloat::IEEEquad, APFloat::uninitialized); APFloat expected(APFloat::IEEEquad, APFloat::uninitialized); // 1. Test Special Cases Values. // // Test all special values for nextUp and nextDown perscribed by IEEE-754R // 2008. These are: // 1. +inf // 2. -inf // 3. getLargest() // 4. -getLargest() // 5. getSmallest() // 6. -getSmallest() // 7. qNaN // 8. sNaN // 9. +0 // 10. -0 // nextUp(+inf) = +inf. test = APFloat::getInf(APFloat::IEEEquad, false); expected = APFloat::getInf(APFloat::IEEEquad, false); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(test.isInfinity()); EXPECT_TRUE(!test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(+inf) = -nextUp(-inf) = -(-getLargest()) = getLargest() test = APFloat::getInf(APFloat::IEEEquad, false); expected = APFloat::getLargest(APFloat::IEEEquad, false); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(!test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextUp(-inf) = -getLargest() test = APFloat::getInf(APFloat::IEEEquad, true); expected = APFloat::getLargest(APFloat::IEEEquad, true); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(-inf) = -nextUp(+inf) = -(+inf) = -inf. test = APFloat::getInf(APFloat::IEEEquad, true); expected = APFloat::getInf(APFloat::IEEEquad, true); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(test.isInfinity() && test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextUp(getLargest()) = +inf test = APFloat::getLargest(APFloat::IEEEquad, false); expected = APFloat::getInf(APFloat::IEEEquad, false); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(test.isInfinity() && !test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(getLargest()) = -nextUp(-getLargest()) // = -(-getLargest() + inc) // = getLargest() - inc. test = APFloat::getLargest(APFloat::IEEEquad, false); expected = APFloat(APFloat::IEEEquad, "0x1.fffffffffffffffffffffffffffep+16383"); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(!test.isInfinity() && !test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextUp(-getLargest()) = -getLargest() + inc. test = APFloat::getLargest(APFloat::IEEEquad, true); expected = APFloat(APFloat::IEEEquad, "-0x1.fffffffffffffffffffffffffffep+16383"); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(-getLargest()) = -nextUp(getLargest()) = -(inf) = -inf. test = APFloat::getLargest(APFloat::IEEEquad, true); expected = APFloat::getInf(APFloat::IEEEquad, true); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(test.isInfinity() && test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextUp(getSmallest()) = getSmallest() + inc. test = APFloat(APFloat::IEEEquad, "0x0.0000000000000000000000000001p-16382"); expected = APFloat(APFloat::IEEEquad, "0x0.0000000000000000000000000002p-16382"); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(getSmallest()) = -nextUp(-getSmallest()) = -(-0) = +0. test = APFloat(APFloat::IEEEquad, "0x0.0000000000000000000000000001p-16382"); expected = APFloat::getZero(APFloat::IEEEquad, false); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(test.isZero() && !test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextUp(-getSmallest()) = -0. test = APFloat(APFloat::IEEEquad, "-0x0.0000000000000000000000000001p-16382"); expected = APFloat::getZero(APFloat::IEEEquad, true); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(test.isZero() && test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(-getSmallest()) = -nextUp(getSmallest()) = -getSmallest() - inc. test = APFloat(APFloat::IEEEquad, "-0x0.0000000000000000000000000001p-16382"); expected = APFloat(APFloat::IEEEquad, "-0x0.0000000000000000000000000002p-16382"); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextUp(qNaN) = qNaN test = APFloat::getQNaN(APFloat::IEEEquad, false); expected = APFloat::getQNaN(APFloat::IEEEquad, false); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(qNaN) = qNaN test = APFloat::getQNaN(APFloat::IEEEquad, false); expected = APFloat::getQNaN(APFloat::IEEEquad, false); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextUp(sNaN) = qNaN test = APFloat::getSNaN(APFloat::IEEEquad, false); expected = APFloat::getQNaN(APFloat::IEEEquad, false); EXPECT_EQ(test.next(false), APFloat::opInvalidOp); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(sNaN) = qNaN test = APFloat::getSNaN(APFloat::IEEEquad, false); expected = APFloat::getQNaN(APFloat::IEEEquad, false); EXPECT_EQ(test.next(true), APFloat::opInvalidOp); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextUp(+0) = +getSmallest() test = APFloat::getZero(APFloat::IEEEquad, false); expected = APFloat::getSmallest(APFloat::IEEEquad, false); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(+0) = -nextUp(-0) = -getSmallest() test = APFloat::getZero(APFloat::IEEEquad, false); expected = APFloat::getSmallest(APFloat::IEEEquad, true); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextUp(-0) = +getSmallest() test = APFloat::getZero(APFloat::IEEEquad, true); expected = APFloat::getSmallest(APFloat::IEEEquad, false); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(-0) = -nextUp(0) = -getSmallest() test = APFloat::getZero(APFloat::IEEEquad, true); expected = APFloat::getSmallest(APFloat::IEEEquad, true); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // 2. Binade Boundary Tests. // 2a. Test denormal <-> normal binade boundaries. // * nextUp(+Largest Denormal) -> +Smallest Normal. // * nextDown(-Largest Denormal) -> -Smallest Normal. // * nextUp(-Smallest Normal) -> -Largest Denormal. // * nextDown(+Smallest Normal) -> +Largest Denormal. // nextUp(+Largest Denormal) -> +Smallest Normal. test = APFloat(APFloat::IEEEquad, "0x0.ffffffffffffffffffffffffffffp-16382"); expected = APFloat(APFloat::IEEEquad, "0x1.0000000000000000000000000000p-16382"); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_FALSE(test.isDenormal()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(-Largest Denormal) -> -Smallest Normal. test = APFloat(APFloat::IEEEquad, "-0x0.ffffffffffffffffffffffffffffp-16382"); expected = APFloat(APFloat::IEEEquad, "-0x1.0000000000000000000000000000p-16382"); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_FALSE(test.isDenormal()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextUp(-Smallest Normal) -> -LargestDenormal. test = APFloat(APFloat::IEEEquad, "-0x1.0000000000000000000000000000p-16382"); expected = APFloat(APFloat::IEEEquad, "-0x0.ffffffffffffffffffffffffffffp-16382"); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(test.isDenormal()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(+Smallest Normal) -> +Largest Denormal. test = APFloat(APFloat::IEEEquad, "+0x1.0000000000000000000000000000p-16382"); expected = APFloat(APFloat::IEEEquad, "+0x0.ffffffffffffffffffffffffffffp-16382"); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(test.isDenormal()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // 2b. Test normal <-> normal binade boundaries. // * nextUp(-Normal Binade Boundary) -> -Normal Binade Boundary + 1. // * nextDown(+Normal Binade Boundary) -> +Normal Binade Boundary - 1. // * nextUp(+Normal Binade Boundary - 1) -> +Normal Binade Boundary. // * nextDown(-Normal Binade Boundary + 1) -> -Normal Binade Boundary. // nextUp(-Normal Binade Boundary) -> -Normal Binade Boundary + 1. test = APFloat(APFloat::IEEEquad, "-0x1p+1"); expected = APFloat(APFloat::IEEEquad, "-0x1.ffffffffffffffffffffffffffffp+0"); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(+Normal Binade Boundary) -> +Normal Binade Boundary - 1. test = APFloat(APFloat::IEEEquad, "0x1p+1"); expected = APFloat(APFloat::IEEEquad, "0x1.ffffffffffffffffffffffffffffp+0"); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextUp(+Normal Binade Boundary - 1) -> +Normal Binade Boundary. test = APFloat(APFloat::IEEEquad, "0x1.ffffffffffffffffffffffffffffp+0"); expected = APFloat(APFloat::IEEEquad, "0x1p+1"); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(-Normal Binade Boundary + 1) -> -Normal Binade Boundary. test = APFloat(APFloat::IEEEquad, "-0x1.ffffffffffffffffffffffffffffp+0"); expected = APFloat(APFloat::IEEEquad, "-0x1p+1"); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // 2c. Test using next at binade boundaries with a direction away from the // binade boundary. Away from denormal <-> normal boundaries. // // This is to make sure that even though we are at a binade boundary, since // we are rounding away, we do not trigger the binade boundary code. Thus we // test: // * nextUp(-Largest Denormal) -> -Largest Denormal + inc. // * nextDown(+Largest Denormal) -> +Largest Denormal - inc. // * nextUp(+Smallest Normal) -> +Smallest Normal + inc. // * nextDown(-Smallest Normal) -> -Smallest Normal - inc. // nextUp(-Largest Denormal) -> -Largest Denormal + inc. test = APFloat(APFloat::IEEEquad, "-0x0.ffffffffffffffffffffffffffffp-16382"); expected = APFloat(APFloat::IEEEquad, "-0x0.fffffffffffffffffffffffffffep-16382"); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(test.isDenormal()); EXPECT_TRUE(test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(+Largest Denormal) -> +Largest Denormal - inc. test = APFloat(APFloat::IEEEquad, "0x0.ffffffffffffffffffffffffffffp-16382"); expected = APFloat(APFloat::IEEEquad, "0x0.fffffffffffffffffffffffffffep-16382"); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(test.isDenormal()); EXPECT_TRUE(!test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextUp(+Smallest Normal) -> +Smallest Normal + inc. test = APFloat(APFloat::IEEEquad, "0x1.0000000000000000000000000000p-16382"); expected = APFloat(APFloat::IEEEquad, "0x1.0000000000000000000000000001p-16382"); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(!test.isDenormal()); EXPECT_TRUE(!test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(-Smallest Normal) -> -Smallest Normal - inc. test = APFloat(APFloat::IEEEquad, "-0x1.0000000000000000000000000000p-16382"); expected = APFloat(APFloat::IEEEquad, "-0x1.0000000000000000000000000001p-16382"); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(!test.isDenormal()); EXPECT_TRUE(test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // 2d. Test values which cause our exponent to go to min exponent. This // is to ensure that guards in the code to check for min exponent // trigger properly. // * nextUp(-0x1p-16381) -> -0x1.ffffffffffffffffffffffffffffp-16382 // * nextDown(-0x1.ffffffffffffffffffffffffffffp-16382) -> // -0x1p-16381 // * nextUp(0x1.ffffffffffffffffffffffffffffp-16382) -> 0x1p-16382 // * nextDown(0x1p-16382) -> 0x1.ffffffffffffffffffffffffffffp-16382 // nextUp(-0x1p-16381) -> -0x1.ffffffffffffffffffffffffffffp-16382 test = APFloat(APFloat::IEEEquad, "-0x1p-16381"); expected = APFloat(APFloat::IEEEquad, "-0x1.ffffffffffffffffffffffffffffp-16382"); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(-0x1.ffffffffffffffffffffffffffffp-16382) -> // -0x1p-16381 test = APFloat(APFloat::IEEEquad, "-0x1.ffffffffffffffffffffffffffffp-16382"); expected = APFloat(APFloat::IEEEquad, "-0x1p-16381"); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextUp(0x1.ffffffffffffffffffffffffffffp-16382) -> 0x1p-16381 test = APFloat(APFloat::IEEEquad, "0x1.ffffffffffffffffffffffffffffp-16382"); expected = APFloat(APFloat::IEEEquad, "0x1p-16381"); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(0x1p-16381) -> 0x1.ffffffffffffffffffffffffffffp-16382 test = APFloat(APFloat::IEEEquad, "0x1p-16381"); expected = APFloat(APFloat::IEEEquad, "0x1.ffffffffffffffffffffffffffffp-16382"); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // 3. Now we test both denormal/normal computation which will not cause us // to go across binade boundaries. Specifically we test: // * nextUp(+Denormal) -> +Denormal. // * nextDown(+Denormal) -> +Denormal. // * nextUp(-Denormal) -> -Denormal. // * nextDown(-Denormal) -> -Denormal. // * nextUp(+Normal) -> +Normal. // * nextDown(+Normal) -> +Normal. // * nextUp(-Normal) -> -Normal. // * nextDown(-Normal) -> -Normal. // nextUp(+Denormal) -> +Denormal. test = APFloat(APFloat::IEEEquad, "0x0.ffffffffffffffffffffffff000cp-16382"); expected = APFloat(APFloat::IEEEquad, "0x0.ffffffffffffffffffffffff000dp-16382"); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(test.isDenormal()); EXPECT_TRUE(!test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(+Denormal) -> +Denormal. test = APFloat(APFloat::IEEEquad, "0x0.ffffffffffffffffffffffff000cp-16382"); expected = APFloat(APFloat::IEEEquad, "0x0.ffffffffffffffffffffffff000bp-16382"); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(test.isDenormal()); EXPECT_TRUE(!test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextUp(-Denormal) -> -Denormal. test = APFloat(APFloat::IEEEquad, "-0x0.ffffffffffffffffffffffff000cp-16382"); expected = APFloat(APFloat::IEEEquad, "-0x0.ffffffffffffffffffffffff000bp-16382"); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(test.isDenormal()); EXPECT_TRUE(test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(-Denormal) -> -Denormal test = APFloat(APFloat::IEEEquad, "-0x0.ffffffffffffffffffffffff000cp-16382"); expected = APFloat(APFloat::IEEEquad, "-0x0.ffffffffffffffffffffffff000dp-16382"); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(test.isDenormal()); EXPECT_TRUE(test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextUp(+Normal) -> +Normal. test = APFloat(APFloat::IEEEquad, "0x1.ffffffffffffffffffffffff000cp-16000"); expected = APFloat(APFloat::IEEEquad, "0x1.ffffffffffffffffffffffff000dp-16000"); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(!test.isDenormal()); EXPECT_TRUE(!test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(+Normal) -> +Normal. test = APFloat(APFloat::IEEEquad, "0x1.ffffffffffffffffffffffff000cp-16000"); expected = APFloat(APFloat::IEEEquad, "0x1.ffffffffffffffffffffffff000bp-16000"); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(!test.isDenormal()); EXPECT_TRUE(!test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextUp(-Normal) -> -Normal. test = APFloat(APFloat::IEEEquad, "-0x1.ffffffffffffffffffffffff000cp-16000"); expected = APFloat(APFloat::IEEEquad, "-0x1.ffffffffffffffffffffffff000bp-16000"); EXPECT_EQ(test.next(false), APFloat::opOK); EXPECT_TRUE(!test.isDenormal()); EXPECT_TRUE(test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); // nextDown(-Normal) -> -Normal. test = APFloat(APFloat::IEEEquad, "-0x1.ffffffffffffffffffffffff000cp-16000"); expected = APFloat(APFloat::IEEEquad, "-0x1.ffffffffffffffffffffffff000dp-16000"); EXPECT_EQ(test.next(true), APFloat::opOK); EXPECT_TRUE(!test.isDenormal()); EXPECT_TRUE(test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); } TEST(APFloatTest, FMA) { APFloat::roundingMode rdmd = APFloat::rmNearestTiesToEven; { APFloat f1(14.5f); APFloat f2(-14.5f); APFloat f3(225.0f); f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven); EXPECT_EQ(14.75f, f1.convertToFloat()); } { APFloat Val2(2.0f); APFloat f1((float)1.17549435e-38F); APFloat f2((float)1.17549435e-38F); f1.divide(Val2, rdmd); f2.divide(Val2, rdmd); APFloat f3(12.0f); f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven); EXPECT_EQ(12.0f, f1.convertToFloat()); } } TEST(APFloatTest, Denormal) { APFloat::roundingMode rdmd = APFloat::rmNearestTiesToEven; // Test single precision { const char *MinNormalStr = "1.17549435082228750797e-38"; EXPECT_FALSE(APFloat(APFloat::IEEEsingle, MinNormalStr).isDenormal()); EXPECT_FALSE(APFloat(APFloat::IEEEsingle, 0.0).isDenormal()); APFloat Val2(APFloat::IEEEsingle, 2.0e0); APFloat T(APFloat::IEEEsingle, MinNormalStr); T.divide(Val2, rdmd); EXPECT_TRUE(T.isDenormal()); } // Test double precision { const char *MinNormalStr = "2.22507385850720138309e-308"; EXPECT_FALSE(APFloat(APFloat::IEEEdouble, MinNormalStr).isDenormal()); EXPECT_FALSE(APFloat(APFloat::IEEEdouble, 0.0).isDenormal()); APFloat Val2(APFloat::IEEEdouble, 2.0e0); APFloat T(APFloat::IEEEdouble, MinNormalStr); T.divide(Val2, rdmd); EXPECT_TRUE(T.isDenormal()); } // Test Intel double-ext { const char *MinNormalStr = "3.36210314311209350626e-4932"; EXPECT_FALSE(APFloat(APFloat::x87DoubleExtended, MinNormalStr).isDenormal()); EXPECT_FALSE(APFloat(APFloat::x87DoubleExtended, 0.0).isDenormal()); APFloat Val2(APFloat::x87DoubleExtended, 2.0e0); APFloat T(APFloat::x87DoubleExtended, MinNormalStr); T.divide(Val2, rdmd); EXPECT_TRUE(T.isDenormal()); } // Test quadruple precision { const char *MinNormalStr = "3.36210314311209350626267781732175260e-4932"; EXPECT_FALSE(APFloat(APFloat::IEEEquad, MinNormalStr).isDenormal()); EXPECT_FALSE(APFloat(APFloat::IEEEquad, 0.0).isDenormal()); APFloat Val2(APFloat::IEEEquad, 2.0e0); APFloat T(APFloat::IEEEquad, MinNormalStr); T.divide(Val2, rdmd); EXPECT_TRUE(T.isDenormal()); } } TEST(APFloatTest, Zero) { EXPECT_EQ(0.0f, APFloat(0.0f).convertToFloat()); EXPECT_EQ(-0.0f, APFloat(-0.0f).convertToFloat()); EXPECT_TRUE(APFloat(-0.0f).isNegative()); EXPECT_EQ(0.0, APFloat(0.0).convertToDouble()); EXPECT_EQ(-0.0, APFloat(-0.0).convertToDouble()); 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_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "00000.").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+00000.").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-00000.").convertToDouble()); EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, ".00000").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.00000").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.00000").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0000.00000").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0000.00000").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0000.00000").convertToDouble()); } TEST(APFloatTest, fromZeroDecimalSingleExponentString) { EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e+1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e+1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e+1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e-1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e-1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e-1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.e1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.e+1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e+1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e+1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.e-1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e-1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e-1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0e1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0e+1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e+1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e+1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0e-1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e-1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e-1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0e1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0e+1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e+1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e+1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0e-1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e-1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e-1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "000.0000e1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+000.0000e+1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-000.0000e+1").convertToDouble()); } TEST(APFloatTest, fromZeroDecimalLargeExponentString) { EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e1234").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e1234").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e1234").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e+1234").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e+1234").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e+1234").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e-1234").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e-1234").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e-1234").convertToDouble()); EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, "000.0000e1234").convertToDouble()); EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, "000.0000e-1234").convertToDouble()); EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, StringRef("0e1234\02", 6)).convertToDouble()); } TEST(APFloatTest, fromZeroHexadecimalString) { EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p+1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p+1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p+1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p-1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p-1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p-1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p+1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p+1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p+1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p-1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p-1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p-1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.0p1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.0p+1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p+1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p+1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.0p-1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p-1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p-1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.0p1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.0p+1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p+1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p+1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.0p-1").convertToDouble()); EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p-1").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p-1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x00000.p1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0000.00000p1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.00000p1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p1234").convertToDouble()); EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p1234").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x00000.p1234").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0000.00000p1234").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.00000p1234").convertToDouble()); EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1234").convertToDouble()); } TEST(APFloatTest, fromDecimalString) { EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "1").convertToDouble()); EXPECT_EQ(2.0, APFloat(APFloat::IEEEdouble, "2.").convertToDouble()); EXPECT_EQ(0.5, APFloat(APFloat::IEEEdouble, ".5").convertToDouble()); EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "1.0").convertToDouble()); EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-2").convertToDouble()); EXPECT_EQ(-4.0, APFloat(APFloat::IEEEdouble, "-4.").convertToDouble()); EXPECT_EQ(-0.5, APFloat(APFloat::IEEEdouble, "-.5").convertToDouble()); EXPECT_EQ(-1.5, APFloat(APFloat::IEEEdouble, "-1.5").convertToDouble()); EXPECT_EQ(1.25e12, APFloat(APFloat::IEEEdouble, "1.25e12").convertToDouble()); EXPECT_EQ(1.25e+12, APFloat(APFloat::IEEEdouble, "1.25e+12").convertToDouble()); EXPECT_EQ(1.25e-12, APFloat(APFloat::IEEEdouble, "1.25e-12").convertToDouble()); EXPECT_EQ(1024.0, APFloat(APFloat::IEEEdouble, "1024.").convertToDouble()); EXPECT_EQ(1024.05, APFloat(APFloat::IEEEdouble, "1024.05000").convertToDouble()); EXPECT_EQ(0.05, APFloat(APFloat::IEEEdouble, ".05000").convertToDouble()); EXPECT_EQ(2.0, APFloat(APFloat::IEEEdouble, "2.").convertToDouble()); EXPECT_EQ(2.0e2, APFloat(APFloat::IEEEdouble, "2.e2").convertToDouble()); EXPECT_EQ(2.0e+2, APFloat(APFloat::IEEEdouble, "2.e+2").convertToDouble()); EXPECT_EQ(2.0e-2, APFloat(APFloat::IEEEdouble, "2.e-2").convertToDouble()); EXPECT_EQ(2.05e2, APFloat(APFloat::IEEEdouble, "002.05000e2").convertToDouble()); EXPECT_EQ(2.05e+2, APFloat(APFloat::IEEEdouble, "002.05000e+2").convertToDouble()); EXPECT_EQ(2.05e-2, APFloat(APFloat::IEEEdouble, "002.05000e-2").convertToDouble()); EXPECT_EQ(2.05e12, APFloat(APFloat::IEEEdouble, "002.05000e12").convertToDouble()); EXPECT_EQ(2.05e+12, APFloat(APFloat::IEEEdouble, "002.05000e+12").convertToDouble()); EXPECT_EQ(2.05e-12, APFloat(APFloat::IEEEdouble, "002.05000e-12").convertToDouble()); // These are "carefully selected" to overflow the fast log-base // calculations in APFloat.cpp EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "99e99999").isInfinity()); 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( 1.0, APFloat(APFloat::IEEEdouble, "0x1p0").convertToDouble()); EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p0").convertToDouble()); EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p0").convertToDouble()); EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble, "0x1p+0").convertToDouble()); EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p+0").convertToDouble()); EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p+0").convertToDouble()); EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble, "0x1p-0").convertToDouble()); EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p-0").convertToDouble()); EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p-0").convertToDouble()); EXPECT_EQ( 2.0, APFloat(APFloat::IEEEdouble, "0x1p1").convertToDouble()); EXPECT_EQ(+2.0, APFloat(APFloat::IEEEdouble, "+0x1p1").convertToDouble()); EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-0x1p1").convertToDouble()); EXPECT_EQ( 2.0, APFloat(APFloat::IEEEdouble, "0x1p+1").convertToDouble()); EXPECT_EQ(+2.0, APFloat(APFloat::IEEEdouble, "+0x1p+1").convertToDouble()); EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-0x1p+1").convertToDouble()); EXPECT_EQ( 0.5, APFloat(APFloat::IEEEdouble, "0x1p-1").convertToDouble()); EXPECT_EQ(+0.5, APFloat(APFloat::IEEEdouble, "+0x1p-1").convertToDouble()); EXPECT_EQ(-0.5, APFloat(APFloat::IEEEdouble, "-0x1p-1").convertToDouble()); EXPECT_EQ( 3.0, APFloat(APFloat::IEEEdouble, "0x1.8p1").convertToDouble()); EXPECT_EQ(+3.0, APFloat(APFloat::IEEEdouble, "+0x1.8p1").convertToDouble()); EXPECT_EQ(-3.0, APFloat(APFloat::IEEEdouble, "-0x1.8p1").convertToDouble()); EXPECT_EQ( 3.0, APFloat(APFloat::IEEEdouble, "0x1.8p+1").convertToDouble()); EXPECT_EQ(+3.0, APFloat(APFloat::IEEEdouble, "+0x1.8p+1").convertToDouble()); EXPECT_EQ(-3.0, APFloat(APFloat::IEEEdouble, "-0x1.8p+1").convertToDouble()); EXPECT_EQ( 0.75, APFloat(APFloat::IEEEdouble, "0x1.8p-1").convertToDouble()); EXPECT_EQ(+0.75, APFloat(APFloat::IEEEdouble, "+0x1.8p-1").convertToDouble()); EXPECT_EQ(-0.75, APFloat(APFloat::IEEEdouble, "-0x1.8p-1").convertToDouble()); EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000.000p1").convertToDouble()); EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p1").convertToDouble()); EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p1").convertToDouble()); EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000.000p+1").convertToDouble()); EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p+1").convertToDouble()); EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p+1").convertToDouble()); EXPECT_EQ( 2048.0, APFloat(APFloat::IEEEdouble, "0x1000.000p-1").convertToDouble()); EXPECT_EQ(+2048.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p-1").convertToDouble()); EXPECT_EQ(-2048.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p-1").convertToDouble()); EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000p1").convertToDouble()); EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000p1").convertToDouble()); EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000p1").convertToDouble()); EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000p+1").convertToDouble()); EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000p+1").convertToDouble()); EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000p+1").convertToDouble()); EXPECT_EQ( 2048.0, APFloat(APFloat::IEEEdouble, "0x1000p-1").convertToDouble()); EXPECT_EQ(+2048.0, APFloat(APFloat::IEEEdouble, "+0x1000p-1").convertToDouble()); EXPECT_EQ(-2048.0, APFloat(APFloat::IEEEdouble, "-0x1000p-1").convertToDouble()); EXPECT_EQ( 16384.0, APFloat(APFloat::IEEEdouble, "0x10p10").convertToDouble()); EXPECT_EQ(+16384.0, APFloat(APFloat::IEEEdouble, "+0x10p10").convertToDouble()); EXPECT_EQ(-16384.0, APFloat(APFloat::IEEEdouble, "-0x10p10").convertToDouble()); EXPECT_EQ( 16384.0, APFloat(APFloat::IEEEdouble, "0x10p+10").convertToDouble()); EXPECT_EQ(+16384.0, APFloat(APFloat::IEEEdouble, "+0x10p+10").convertToDouble()); EXPECT_EQ(-16384.0, APFloat(APFloat::IEEEdouble, "-0x10p+10").convertToDouble()); EXPECT_EQ( 0.015625, APFloat(APFloat::IEEEdouble, "0x10p-10").convertToDouble()); EXPECT_EQ(+0.015625, APFloat(APFloat::IEEEdouble, "+0x10p-10").convertToDouble()); EXPECT_EQ(-0.015625, APFloat(APFloat::IEEEdouble, "-0x10p-10").convertToDouble()); EXPECT_EQ(1.0625, APFloat(APFloat::IEEEdouble, "0x1.1p0").convertToDouble()); EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "0x1p0").convertToDouble()); EXPECT_EQ(convertToDoubleFromString("0x1p-150"), convertToDoubleFromString("+0x800000000000000001.p-221")); EXPECT_EQ(2251799813685248.5, convertToDoubleFromString("0x80000000000004000000.010p-28")); } TEST(APFloatTest, toString) { ASSERT_EQ("10", convertToString(10.0, 6, 3)); ASSERT_EQ("1.0E+1", convertToString(10.0, 6, 0)); ASSERT_EQ("10100", convertToString(1.01E+4, 5, 2)); ASSERT_EQ("1.01E+4", convertToString(1.01E+4, 4, 2)); ASSERT_EQ("1.01E+4", convertToString(1.01E+4, 5, 1)); 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("0.78539816339744828", 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) { bool isExact = false; APSInt result(5, /*isUnsigned=*/true); EXPECT_EQ(APFloat::opOK, APFloat(APFloat::IEEEdouble, "10") .convertToInteger(result, APFloat::rmTowardZero, &isExact)); EXPECT_TRUE(isExact); EXPECT_EQ(APSInt(APInt(5, 10), true), result); EXPECT_EQ(APFloat::opInvalidOp, APFloat(APFloat::IEEEdouble, "-10") .convertToInteger(result, APFloat::rmTowardZero, &isExact)); EXPECT_FALSE(isExact); EXPECT_EQ(APSInt::getMinValue(5, true), result); EXPECT_EQ(APFloat::opInvalidOp, APFloat(APFloat::IEEEdouble, "32") .convertToInteger(result, APFloat::rmTowardZero, &isExact)); EXPECT_FALSE(isExact); EXPECT_EQ(APSInt::getMaxValue(5, true), result); EXPECT_EQ(APFloat::opInexact, APFloat(APFloat::IEEEdouble, "7.9") .convertToInteger(result, APFloat::rmTowardZero, &isExact)); EXPECT_FALSE(isExact); EXPECT_EQ(APSInt(APInt(5, 7), true), result); result.setIsUnsigned(false); EXPECT_EQ(APFloat::opOK, APFloat(APFloat::IEEEdouble, "-10") .convertToInteger(result, APFloat::rmTowardZero, &isExact)); EXPECT_TRUE(isExact); EXPECT_EQ(APSInt(APInt(5, -10, true), false), result); EXPECT_EQ(APFloat::opInvalidOp, APFloat(APFloat::IEEEdouble, "-17") .convertToInteger(result, APFloat::rmTowardZero, &isExact)); EXPECT_FALSE(isExact); EXPECT_EQ(APSInt::getMinValue(5, false), result); EXPECT_EQ(APFloat::opInvalidOp, APFloat(APFloat::IEEEdouble, "16") .convertToInteger(result, APFloat::rmTowardZero, &isExact)); EXPECT_FALSE(isExact); EXPECT_EQ(APSInt::getMaxValue(5, false), result); } static APInt nanbits(const fltSemantics &Sem, bool SNaN, bool Negative, uint64_t fill) { APInt apfill(64, fill); if (SNaN) return APFloat::getSNaN(Sem, Negative, &apfill).bitcastToAPInt(); else return APFloat::getQNaN(Sem, Negative, &apfill).bitcastToAPInt(); } TEST(APFloatTest, makeNaN) { ASSERT_EQ(0x7fc00000, nanbits(APFloat::IEEEsingle, false, false, 0)); ASSERT_EQ(0xffc00000, nanbits(APFloat::IEEEsingle, false, true, 0)); ASSERT_EQ(0x7fc0ae72, nanbits(APFloat::IEEEsingle, false, false, 0xae72)); ASSERT_EQ(0x7fffae72, nanbits(APFloat::IEEEsingle, false, false, 0xffffae72)); ASSERT_EQ(0x7fa00000, nanbits(APFloat::IEEEsingle, true, false, 0)); ASSERT_EQ(0xffa00000, nanbits(APFloat::IEEEsingle, true, true, 0)); ASSERT_EQ(0x7f80ae72, nanbits(APFloat::IEEEsingle, true, false, 0xae72)); ASSERT_EQ(0x7fbfae72, nanbits(APFloat::IEEEsingle, true, false, 0xffffae72)); ASSERT_EQ(0x7ff8000000000000ULL, nanbits(APFloat::IEEEdouble, false, false, 0)); ASSERT_EQ(0xfff8000000000000ULL, nanbits(APFloat::IEEEdouble, false, true, 0)); ASSERT_EQ(0x7ff800000000ae72ULL, nanbits(APFloat::IEEEdouble, false, false, 0xae72)); ASSERT_EQ(0x7fffffffffffae72ULL, nanbits(APFloat::IEEEdouble, false, false, 0xffffffffffffae72ULL)); ASSERT_EQ(0x7ff4000000000000ULL, nanbits(APFloat::IEEEdouble, true, false, 0)); ASSERT_EQ(0xfff4000000000000ULL, nanbits(APFloat::IEEEdouble, true, true, 0)); ASSERT_EQ(0x7ff000000000ae72ULL, nanbits(APFloat::IEEEdouble, true, false, 0xae72)); ASSERT_EQ(0x7ff7ffffffffae72ULL, nanbits(APFloat::IEEEdouble, true, false, 0xffffffffffffae72ULL)); } #ifdef GTEST_HAS_DEATH_TEST #ifndef NDEBUG TEST(APFloatTest, SemanticsDeath) { EXPECT_DEATH(APFloat(APFloat::IEEEsingle, 0.0f).convertToDouble(), "Float semantics are not IEEEdouble"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, 0.0 ).convertToFloat(), "Float semantics are not IEEEsingle"); } TEST(APFloatTest, StringDecimalDeath) { EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ""), "Invalid string length"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+"), "String has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-"), "String has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("\0", 1)), "Invalid character in significand"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\0", 2)), "Invalid character in significand"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\02", 3)), "Invalid character in significand"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\02e1", 5)), "Invalid character in significand"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e\0", 3)), "Invalid character in exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e1\0", 4)), "Invalid character in exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e1\02", 5)), "Invalid character in exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0f"), "Invalid character in significand"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".."), "String contains multiple dots"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "..0"), "String contains multiple dots"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0.0"), "String contains multiple dots"); } TEST(APFloatTest, StringDecimalSignificandDeath) { EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "."), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+."), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-."), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "e"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+e"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-e"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "e1"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+e1"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-e1"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".e1"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.e1"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.e1"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".e"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.e"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.e"), "Significand has no digits"); } TEST(APFloatTest, StringDecimalExponentDeath) { EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+1e"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-1e"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.e"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+1.e"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-1.e"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.1e"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.1e"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.1e"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+1.1e"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-1.1e"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e+"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e-"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e+"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e-"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e+"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e-"), "Exponent has no digits"); } TEST(APFloatTest, StringHexadecimalDeath) { EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x"), "Invalid string"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x"), "Invalid string"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x"), "Invalid string"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x0"), "Hex strings require an exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0"), "Hex strings require an exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0"), "Hex strings require an exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x0."), "Hex strings require an exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0."), "Hex strings require an exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0."), "Hex strings require an exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.0"), "Hex strings require an exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.0"), "Hex strings require an exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.0"), "Hex strings require an exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x0.0"), "Hex strings require an exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0.0"), "Hex strings require an exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0.0"), "Hex strings require an exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x\0", 3)), "Invalid character in significand"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\0", 4)), "Invalid character in significand"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\02", 5)), "Invalid character in significand"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\02p1", 7)), "Invalid character in significand"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p\0", 5)), "Invalid character in exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p1\0", 6)), "Invalid character in exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p1\02", 7)), "Invalid character in exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p0f"), "Invalid character in exponent"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x..p1"), "String contains multiple dots"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x..0p1"), "String contains multiple dots"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.0.0p1"), "String contains multiple dots"); } TEST(APFloatTest, StringHexadecimalSignificandDeath) { EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x."), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x."), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x."), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0xp"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0xp+"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp+"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp+"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0xp-"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp-"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp-"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.p"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.p+"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p+"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p+"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.p-"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p-"), "Significand has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p-"), "Significand has no digits"); } TEST(APFloatTest, StringHexadecimalExponentDeath) { EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p+"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p+"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p+"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p-"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p-"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p-"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.p"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.p+"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p+"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p+"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.p-"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p-"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p-"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.1p"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.1p+"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p+"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p+"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.1p-"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p-"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p-"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.1p"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.1p+"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p+"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p+"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.1p-"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p-"), "Exponent has no digits"); EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p-"), "Exponent has no digits"); } #endif #endif TEST(APFloatTest, exactInverse) { APFloat inv(0.0f); // Trivial operation. EXPECT_TRUE(APFloat(2.0).getExactInverse(&inv)); EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(0.5))); EXPECT_TRUE(APFloat(2.0f).getExactInverse(&inv)); EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(0.5f))); EXPECT_TRUE(APFloat(APFloat::IEEEquad, "2.0").getExactInverse(&inv)); EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::IEEEquad, "0.5"))); EXPECT_TRUE(APFloat(APFloat::PPCDoubleDouble, "2.0").getExactInverse(&inv)); EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::PPCDoubleDouble, "0.5"))); EXPECT_TRUE(APFloat(APFloat::x87DoubleExtended, "2.0").getExactInverse(&inv)); EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::x87DoubleExtended, "0.5"))); // FLT_MIN EXPECT_TRUE(APFloat(1.17549435e-38f).getExactInverse(&inv)); EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(8.5070592e+37f))); // Large float, inverse is a denormal. EXPECT_FALSE(APFloat(1.7014118e38f).getExactInverse(0)); // Zero EXPECT_FALSE(APFloat(0.0).getExactInverse(0)); // Denormalized float EXPECT_FALSE(APFloat(1.40129846e-45f).getExactInverse(0)); } TEST(APFloatTest, roundToIntegral) { APFloat T(-0.5), S(3.14), R(APFloat::getLargest(APFloat::IEEEdouble)), P(0.0); P = T; P.roundToIntegral(APFloat::rmTowardZero); EXPECT_EQ(-0.0, P.convertToDouble()); P = T; P.roundToIntegral(APFloat::rmTowardNegative); EXPECT_EQ(-1.0, P.convertToDouble()); P = T; P.roundToIntegral(APFloat::rmTowardPositive); EXPECT_EQ(-0.0, P.convertToDouble()); P = T; P.roundToIntegral(APFloat::rmNearestTiesToEven); EXPECT_EQ(-0.0, P.convertToDouble()); P = S; P.roundToIntegral(APFloat::rmTowardZero); EXPECT_EQ(3.0, P.convertToDouble()); P = S; P.roundToIntegral(APFloat::rmTowardNegative); EXPECT_EQ(3.0, P.convertToDouble()); P = S; P.roundToIntegral(APFloat::rmTowardPositive); EXPECT_EQ(4.0, P.convertToDouble()); P = S; P.roundToIntegral(APFloat::rmNearestTiesToEven); EXPECT_EQ(3.0, P.convertToDouble()); P = R; P.roundToIntegral(APFloat::rmTowardZero); EXPECT_EQ(R.convertToDouble(), P.convertToDouble()); P = R; P.roundToIntegral(APFloat::rmTowardNegative); EXPECT_EQ(R.convertToDouble(), P.convertToDouble()); P = R; P.roundToIntegral(APFloat::rmTowardPositive); EXPECT_EQ(R.convertToDouble(), P.convertToDouble()); P = R; P.roundToIntegral(APFloat::rmNearestTiesToEven); EXPECT_EQ(R.convertToDouble(), P.convertToDouble()); P = APFloat::getZero(APFloat::IEEEdouble); P.roundToIntegral(APFloat::rmTowardZero); EXPECT_EQ(0.0, P.convertToDouble()); P = APFloat::getZero(APFloat::IEEEdouble, true); P.roundToIntegral(APFloat::rmTowardZero); EXPECT_EQ(-0.0, P.convertToDouble()); P = APFloat::getNaN(APFloat::IEEEdouble); P.roundToIntegral(APFloat::rmTowardZero); EXPECT_TRUE(IsNAN(P.convertToDouble())); P = APFloat::getInf(APFloat::IEEEdouble); P.roundToIntegral(APFloat::rmTowardZero); EXPECT_TRUE(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); } TEST(APFloatTest, getLargest) { EXPECT_EQ(3.402823466e+38f, APFloat::getLargest(APFloat::IEEEsingle).convertToFloat()); EXPECT_EQ(1.7976931348623158e+308, APFloat::getLargest(APFloat::IEEEdouble).convertToDouble()); } TEST(APFloatTest, getSmallest) { APFloat test = APFloat::getSmallest(APFloat::IEEEsingle, false); APFloat expected = APFloat(APFloat::IEEEsingle, "0x0.000002p-126"); EXPECT_FALSE(test.isNegative()); EXPECT_TRUE(test.isFiniteNonZero()); EXPECT_TRUE(test.isDenormal()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); test = APFloat::getSmallest(APFloat::IEEEsingle, true); expected = APFloat(APFloat::IEEEsingle, "-0x0.000002p-126"); EXPECT_TRUE(test.isNegative()); EXPECT_TRUE(test.isFiniteNonZero()); EXPECT_TRUE(test.isDenormal()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); test = APFloat::getSmallest(APFloat::IEEEquad, false); expected = APFloat(APFloat::IEEEquad, "0x0.0000000000000000000000000001p-16382"); EXPECT_FALSE(test.isNegative()); EXPECT_TRUE(test.isFiniteNonZero()); EXPECT_TRUE(test.isDenormal()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); test = APFloat::getSmallest(APFloat::IEEEquad, true); expected = APFloat(APFloat::IEEEquad, "-0x0.0000000000000000000000000001p-16382"); EXPECT_TRUE(test.isNegative()); EXPECT_TRUE(test.isFiniteNonZero()); EXPECT_TRUE(test.isDenormal()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); } TEST(APFloatTest, getSmallestNormalized) { APFloat test = APFloat::getSmallestNormalized(APFloat::IEEEsingle, false); APFloat expected = APFloat(APFloat::IEEEsingle, "0x1p-126"); EXPECT_FALSE(test.isNegative()); EXPECT_TRUE(test.isFiniteNonZero()); EXPECT_FALSE(test.isDenormal()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); test = APFloat::getSmallestNormalized(APFloat::IEEEsingle, true); expected = APFloat(APFloat::IEEEsingle, "-0x1p-126"); EXPECT_TRUE(test.isNegative()); EXPECT_TRUE(test.isFiniteNonZero()); EXPECT_FALSE(test.isDenormal()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); test = APFloat::getSmallestNormalized(APFloat::IEEEquad, false); expected = APFloat(APFloat::IEEEquad, "0x1p-16382"); EXPECT_FALSE(test.isNegative()); EXPECT_TRUE(test.isFiniteNonZero()); EXPECT_FALSE(test.isDenormal()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); test = APFloat::getSmallestNormalized(APFloat::IEEEquad, true); expected = APFloat(APFloat::IEEEquad, "-0x1p-16382"); EXPECT_TRUE(test.isNegative()); EXPECT_TRUE(test.isFiniteNonZero()); EXPECT_FALSE(test.isDenormal()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); } TEST(APFloatTest, getZero) { struct { const fltSemantics *semantics; const bool sign; const unsigned long long bitPattern[2]; const unsigned bitPatternLength; } const GetZeroTest[] = { { &APFloat::IEEEhalf, false, {0, 0}, 1}, { &APFloat::IEEEhalf, true, {0x8000ULL, 0}, 1}, { &APFloat::IEEEsingle, false, {0, 0}, 1}, { &APFloat::IEEEsingle, true, {0x80000000ULL, 0}, 1}, { &APFloat::IEEEdouble, false, {0, 0}, 1}, { &APFloat::IEEEdouble, true, {0x8000000000000000ULL, 0}, 1}, { &APFloat::IEEEquad, false, {0, 0}, 2}, { &APFloat::IEEEquad, true, {0, 0x8000000000000000ULL}, 2}, { &APFloat::PPCDoubleDouble, false, {0, 0}, 2}, { &APFloat::PPCDoubleDouble, true, {0x8000000000000000ULL, 0}, 2}, { &APFloat::x87DoubleExtended, false, {0, 0}, 2}, { &APFloat::x87DoubleExtended, true, {0, 0x8000ULL}, 2}, }; const unsigned NumGetZeroTests = 12; for (unsigned i = 0; i < NumGetZeroTests; ++i) { APFloat test = APFloat::getZero(*GetZeroTest[i].semantics, GetZeroTest[i].sign); const char *pattern = GetZeroTest[i].sign? "-0x0p+0" : "0x0p+0"; APFloat expected = APFloat(*GetZeroTest[i].semantics, pattern); EXPECT_TRUE(test.isZero()); EXPECT_TRUE(GetZeroTest[i].sign? test.isNegative() : !test.isNegative()); EXPECT_TRUE(test.bitwiseIsEqual(expected)); for (unsigned j = 0, je = GetZeroTest[i].bitPatternLength; j < je; ++j) { EXPECT_EQ(GetZeroTest[i].bitPattern[j], test.bitcastToAPInt().getRawData()[j]); } } } TEST(APFloatTest, convert) { bool losesInfo; APFloat test(APFloat::IEEEdouble, "1.0"); test.convert(APFloat::IEEEsingle, APFloat::rmNearestTiesToEven, &losesInfo); EXPECT_EQ(1.0f, test.convertToFloat()); EXPECT_FALSE(losesInfo); test = APFloat(APFloat::x87DoubleExtended, "0x1p-53"); test.add(APFloat(APFloat::x87DoubleExtended, "1.0"), APFloat::rmNearestTiesToEven); test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo); EXPECT_EQ(1.0, test.convertToDouble()); EXPECT_TRUE(losesInfo); test = APFloat(APFloat::IEEEquad, "0x1p-53"); test.add(APFloat(APFloat::IEEEquad, "1.0"), APFloat::rmNearestTiesToEven); test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo); EXPECT_EQ(1.0, test.convertToDouble()); EXPECT_TRUE(losesInfo); test = APFloat(APFloat::x87DoubleExtended, "0xf.fffffffp+28"); test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo); EXPECT_EQ(4294967295.0, test.convertToDouble()); EXPECT_FALSE(losesInfo); test = APFloat::getSNaN(APFloat::IEEEsingle); APFloat X87SNaN = APFloat::getSNaN(APFloat::x87DoubleExtended); test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven, &losesInfo); EXPECT_TRUE(test.bitwiseIsEqual(X87SNaN)); EXPECT_FALSE(losesInfo); test = APFloat::getQNaN(APFloat::IEEEsingle); APFloat X87QNaN = APFloat::getQNaN(APFloat::x87DoubleExtended); test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven, &losesInfo); EXPECT_TRUE(test.bitwiseIsEqual(X87QNaN)); EXPECT_FALSE(losesInfo); test = APFloat::getSNaN(APFloat::x87DoubleExtended); test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven, &losesInfo); EXPECT_TRUE(test.bitwiseIsEqual(X87SNaN)); EXPECT_FALSE(losesInfo); test = APFloat::getQNaN(APFloat::x87DoubleExtended); test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven, &losesInfo); EXPECT_TRUE(test.bitwiseIsEqual(X87QNaN)); EXPECT_FALSE(losesInfo); } TEST(APFloatTest, PPCDoubleDouble) { APFloat test(APFloat::PPCDoubleDouble, "1.0"); EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]); EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]); test.divide(APFloat(APFloat::PPCDoubleDouble, "3.0"), APFloat::rmNearestTiesToEven); EXPECT_EQ(0x3fd5555555555555ull, test.bitcastToAPInt().getRawData()[0]); EXPECT_EQ(0x3c75555555555556ull, test.bitcastToAPInt().getRawData()[1]); // LDBL_MAX test = APFloat(APFloat::PPCDoubleDouble, "1.79769313486231580793728971405301e+308"); EXPECT_EQ(0x7fefffffffffffffull, test.bitcastToAPInt().getRawData()[0]); EXPECT_EQ(0x7c8ffffffffffffeull, test.bitcastToAPInt().getRawData()[1]); // LDBL_MIN test = APFloat(APFloat::PPCDoubleDouble, "2.00416836000897277799610805135016e-292"); EXPECT_EQ(0x0360000000000000ull, test.bitcastToAPInt().getRawData()[0]); EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]); test = APFloat(APFloat::PPCDoubleDouble, "1.0"); test.add(APFloat(APFloat::PPCDoubleDouble, "0x1p-105"), APFloat::rmNearestTiesToEven); EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]); EXPECT_EQ(0x3960000000000000ull, test.bitcastToAPInt().getRawData()[1]); test = APFloat(APFloat::PPCDoubleDouble, "1.0"); test.add(APFloat(APFloat::PPCDoubleDouble, "0x1p-106"), APFloat::rmNearestTiesToEven); EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]); #if 0 // XFAIL // This is what we would expect with a true double-double implementation EXPECT_EQ(0x3950000000000000ull, test.bitcastToAPInt().getRawData()[1]); #else // This is what we get with our 106-bit mantissa approximation EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]); #endif } TEST(APFloatTest, isNegative) { APFloat t(APFloat::IEEEsingle, "0x1p+0"); 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()); EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isNegative()); EXPECT_TRUE(APFloat::getNaN(APFloat::IEEEsingle, true).isNegative()); EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isNegative()); EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, true).isNegative()); } TEST(APFloatTest, isNormal) { APFloat t(APFloat::IEEEsingle, "0x1p+0"); 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_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-149").isFinite()); } TEST(APFloatTest, isInfinity) { APFloat t(APFloat::IEEEsingle, "0x1p+0"); EXPECT_FALSE(t.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-149").isInfinity()); } TEST(APFloatTest, isNaN) { APFloat t(APFloat::IEEEsingle, "0x1p+0"); 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-149").isNaN()); } TEST(APFloatTest, isFiniteNonZero) { // Test positive/negative normal value. EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "0x1p+0").isFiniteNonZero()); EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "-0x1p+0").isFiniteNonZero()); // Test positive/negative denormal value. EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "0x1p-149").isFiniteNonZero()); EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "-0x1p-149").isFiniteNonZero()); // Test +/- Infinity. EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isFiniteNonZero()); EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, true).isFiniteNonZero()); // Test +/- Zero. EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isFiniteNonZero()); EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, true).isFiniteNonZero()); // Test +/- qNaN. +/- dont mean anything with qNaN but paranoia can't hurt in // this instance. EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isFiniteNonZero()); EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, true).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()); } 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); } } }