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| author | 2020-08-03 15:06:44 +0000 | |
|---|---|---|
| committer | 2020-08-03 15:06:44 +0000 | |
| commit | b64793999546ed8adebaeebd9d8345d18db8927d (patch) | |
| tree | 4357c27b561d73b0e089727c6ed659f2ceff5f47 /gnu/llvm/unittests/ADT/APFloatTest.cpp | |
| parent | Add support for UTF-8 DISPLAY-HINTs with octet length. For now only (diff) | |
| download | wireguard-openbsd-b64793999546ed8adebaeebd9d8345d18db8927d.tar.xz wireguard-openbsd-b64793999546ed8adebaeebd9d8345d18db8927d.zip | |
Remove LLVM 8.0.1 files.
Diffstat (limited to 'gnu/llvm/unittests/ADT/APFloatTest.cpp')
| -rw-r--r-- | gnu/llvm/unittests/ADT/APFloatTest.cpp | 4017 |
1 files changed, 0 insertions, 4017 deletions
diff --git a/gnu/llvm/unittests/ADT/APFloatTest.cpp b/gnu/llvm/unittests/ADT/APFloatTest.cpp deleted file mode 100644 index 64053a811a3..00000000000 --- a/gnu/llvm/unittests/ADT/APFloatTest.cpp +++ /dev/null @@ -1,4017 +0,0 @@ -//===- 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/Hashing.h" -#include "llvm/ADT/SmallVector.h" -#include "llvm/Support/FormatVariadic.h" -#include "llvm/Support/raw_ostream.h" -#include "gtest/gtest.h" -#include <cmath> -#include <ostream> -#include <string> -#include <tuple> - -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, - bool Tr = true) { - llvm::SmallVector<char, 100> Buffer; - llvm::APFloat F(d); - F.toString(Buffer, Prec, Pad, Tr); - 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.isPosZero()); - 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.isNegZero()); - 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 for correct zero sign when answer is exactly zero. - // fma(1.0, -1.0, 1.0) -> +ve 0. - { - APFloat f1(1.0); - APFloat f2(-1.0); - APFloat f3(1.0); - f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven); - EXPECT_TRUE(!f1.isNegative() && f1.isZero()); - } - - // Test for correct zero sign when answer is exactly zero and rounding towards - // negative. - // fma(1.0, -1.0, 1.0) -> +ve 0. - { - APFloat f1(1.0); - APFloat f2(-1.0); - APFloat f3(1.0); - f1.fusedMultiplyAdd(f2, f3, APFloat::rmTowardNegative); - EXPECT_TRUE(f1.isNegative() && f1.isZero()); - } - - // Test for correct (in this case -ve) sign when adding like signed zeros. - // Test fma(0.0, -0.0, -0.0) -> -ve 0. - { - APFloat f1(0.0); - APFloat f2(-0.0); - APFloat f3(-0.0); - f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven); - EXPECT_TRUE(f1.isNegative() && f1.isZero()); - } - - // Test -ve sign preservation when small negative results underflow. - { - APFloat f1(APFloat::IEEEdouble(), "-0x1p-1074"); - APFloat f2(APFloat::IEEEdouble(), "+0x1p-1074"); - APFloat f3(0.0); - f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven); - EXPECT_TRUE(f1.isNegative() && f1.isZero()); - } - - // Test x87 extended precision case from http://llvm.org/PR20728. - { - APFloat M1(APFloat::x87DoubleExtended(), 1.0); - APFloat M2(APFloat::x87DoubleExtended(), 1.0); - APFloat A(APFloat::x87DoubleExtended(), 3.0); - - bool losesInfo = false; - M1.fusedMultiplyAdd(M1, A, APFloat::rmNearestTiesToEven); - M1.convert(APFloat::IEEEsingle(), APFloat::rmNearestTiesToEven, &losesInfo); - EXPECT_FALSE(losesInfo); - EXPECT_EQ(4.0f, M1.convertToFloat()); - } -} - -TEST(APFloatTest, MinNum) { - APFloat f1(1.0); - APFloat f2(2.0); - APFloat nan = APFloat::getNaN(APFloat::IEEEdouble()); - - EXPECT_EQ(1.0, minnum(f1, f2).convertToDouble()); - EXPECT_EQ(1.0, minnum(f2, f1).convertToDouble()); - EXPECT_EQ(1.0, minnum(f1, nan).convertToDouble()); - EXPECT_EQ(1.0, minnum(nan, f1).convertToDouble()); -} - -TEST(APFloatTest, MaxNum) { - APFloat f1(1.0); - APFloat f2(2.0); - APFloat nan = APFloat::getNaN(APFloat::IEEEdouble()); - - EXPECT_EQ(2.0, maxnum(f1, f2).convertToDouble()); - EXPECT_EQ(2.0, maxnum(f2, f1).convertToDouble()); - EXPECT_EQ(1.0, maxnum(f1, nan).convertToDouble()); - EXPECT_EQ(1.0, maxnum(nan, f1).convertToDouble()); -} - -TEST(APFloatTest, Minimum) { - APFloat f1(1.0); - APFloat f2(2.0); - APFloat zp(0.0); - APFloat zn(-0.0); - APFloat nan = APFloat::getNaN(APFloat::IEEEdouble()); - - EXPECT_EQ(1.0, minimum(f1, f2).convertToDouble()); - EXPECT_EQ(1.0, minimum(f2, f1).convertToDouble()); - EXPECT_EQ(-0.0, minimum(zp, zn).convertToDouble()); - EXPECT_EQ(-0.0, minimum(zn, zp).convertToDouble()); - EXPECT_TRUE(std::isnan(minimum(f1, nan).convertToDouble())); - EXPECT_TRUE(std::isnan(minimum(nan, f1).convertToDouble())); -} - -TEST(APFloatTest, Maximum) { - APFloat f1(1.0); - APFloat f2(2.0); - APFloat zp(0.0); - APFloat zn(-0.0); - APFloat nan = APFloat::getNaN(APFloat::IEEEdouble()); - - EXPECT_EQ(2.0, maximum(f1, f2).convertToDouble()); - EXPECT_EQ(2.0, maximum(f2, f1).convertToDouble()); - EXPECT_EQ(0.0, maximum(zp, zn).convertToDouble()); - EXPECT_EQ(0.0, maximum(zn, zp).convertToDouble()); - EXPECT_TRUE(std::isnan(maximum(f1, nan).convertToDouble())); - EXPECT_TRUE(std::isnan(maximum(nan, f1).convertToDouble())); -} - -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" "\0" "2", 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, fromToStringSpecials) { - auto expects = [] (const char *first, const char *second) { - std::string roundtrip = convertToString(convertToDoubleFromString(second), 0, 3); - EXPECT_STREQ(first, roundtrip.c_str()); - }; - expects("+Inf", "+Inf"); - expects("+Inf", "INFINITY"); - expects("+Inf", "inf"); - expects("-Inf", "-Inf"); - expects("-Inf", "-INFINITY"); - expects("-Inf", "-inf"); - expects("NaN", "NaN"); - expects("NaN", "nan"); - expects("NaN", "-NaN"); - expects("NaN", "-nan"); -} - -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)); - ASSERT_EQ("10", convertToString(10.0, 6, 3, false)); - ASSERT_EQ("1.000000e+01", convertToString(10.0, 6, 0, false)); - ASSERT_EQ("10100", convertToString(1.01E+4, 5, 2, false)); - ASSERT_EQ("1.0100e+04", convertToString(1.01E+4, 4, 2, false)); - ASSERT_EQ("1.01000e+04", convertToString(1.01E+4, 5, 1, false)); - ASSERT_EQ("0.0101", convertToString(1.01E-2, 5, 2, false)); - ASSERT_EQ("0.0101", convertToString(1.01E-2, 4, 2, false)); - ASSERT_EQ("1.01000e-02", convertToString(1.01E-2, 5, 1, false)); - ASSERT_EQ("0.78539816339744828", - convertToString(0.78539816339744830961, 0, 3, false)); - ASSERT_EQ("4.94065645841246540e-324", - convertToString(4.9406564584124654e-324, 0, 3, false)); - ASSERT_EQ("873.18340000000001", convertToString(873.1834, 0, 1, false)); - ASSERT_EQ("8.73183400000000010e+02", convertToString(873.1834, 0, 0, false)); - ASSERT_EQ("1.79769313486231570e+308", - convertToString(1.7976931348623157E+308, 0, 0, false)); - - { - SmallString<64> Str; - APFloat UnnormalZero(APFloat::x87DoubleExtended(), APInt(80, {0, 1})); - UnnormalZero.toString(Str); - ASSERT_EQ("NaN", Str); - } -} - -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 nanbitsFromAPInt(const fltSemantics &Sem, bool SNaN, bool Negative, - uint64_t payload) { - APInt appayload(64, payload); - if (SNaN) - return APFloat::getSNaN(Sem, Negative, &appayload).bitcastToAPInt(); - else - return APFloat::getQNaN(Sem, Negative, &appayload).bitcastToAPInt(); -} - -TEST(APFloatTest, makeNaN) { - const struct { - uint64_t expected; - const fltSemantics &semantics; - bool SNaN; - bool Negative; - uint64_t payload; - } tests[] = { - /* expected semantics SNaN Neg payload */ - { 0x7fc00000ULL, APFloat::IEEEsingle(), false, false, 0x00000000ULL }, - { 0xffc00000ULL, APFloat::IEEEsingle(), false, true, 0x00000000ULL }, - { 0x7fc0ae72ULL, APFloat::IEEEsingle(), false, false, 0x0000ae72ULL }, - { 0x7fffae72ULL, APFloat::IEEEsingle(), false, false, 0xffffae72ULL }, - { 0x7fdaae72ULL, APFloat::IEEEsingle(), false, false, 0x00daae72ULL }, - { 0x7fa00000ULL, APFloat::IEEEsingle(), true, false, 0x00000000ULL }, - { 0xffa00000ULL, APFloat::IEEEsingle(), true, true, 0x00000000ULL }, - { 0x7f80ae72ULL, APFloat::IEEEsingle(), true, false, 0x0000ae72ULL }, - { 0x7fbfae72ULL, APFloat::IEEEsingle(), true, false, 0xffffae72ULL }, - { 0x7f9aae72ULL, APFloat::IEEEsingle(), true, false, 0x001aae72ULL }, - { 0x7ff8000000000000ULL, APFloat::IEEEdouble(), false, false, 0x0000000000000000ULL }, - { 0xfff8000000000000ULL, APFloat::IEEEdouble(), false, true, 0x0000000000000000ULL }, - { 0x7ff800000000ae72ULL, APFloat::IEEEdouble(), false, false, 0x000000000000ae72ULL }, - { 0x7fffffffffffae72ULL, APFloat::IEEEdouble(), false, false, 0xffffffffffffae72ULL }, - { 0x7ffdaaaaaaaaae72ULL, APFloat::IEEEdouble(), false, false, 0x000daaaaaaaaae72ULL }, - { 0x7ff4000000000000ULL, APFloat::IEEEdouble(), true, false, 0x0000000000000000ULL }, - { 0xfff4000000000000ULL, APFloat::IEEEdouble(), true, true, 0x0000000000000000ULL }, - { 0x7ff000000000ae72ULL, APFloat::IEEEdouble(), true, false, 0x000000000000ae72ULL }, - { 0x7ff7ffffffffae72ULL, APFloat::IEEEdouble(), true, false, 0xffffffffffffae72ULL }, - { 0x7ff1aaaaaaaaae72ULL, APFloat::IEEEdouble(), true, false, 0x0001aaaaaaaaae72ULL }, - }; - - for (const auto &t : tests) { - ASSERT_EQ(t.expected, nanbitsFromAPInt(t.semantics, t.SNaN, t.Negative, t.payload)); - } -} - -#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" "\0" "2", 3)), "Invalid character in significand"); - EXPECT_DEATH(APFloat(APFloat::IEEEdouble(), StringRef("1" "\0" "2e1", 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" "\0" "2", 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" "\0" "2", 5)), "Invalid character in significand"); - EXPECT_DEATH(APFloat(APFloat::IEEEdouble(), StringRef("0x1" "\0" "2p1", 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" "\0" "2", 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(nullptr)); - // Zero - EXPECT_FALSE(APFloat(0.0).getExactInverse(nullptr)); - // Denormalized float - EXPECT_FALSE(APFloat(1.40129846e-45f).getExactInverse(nullptr)); -} - -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(std::isnan(P.convertToDouble())); - P = APFloat::getInf(APFloat::IEEEdouble()); - P.roundToIntegral(APFloat::rmTowardZero); - EXPECT_TRUE(std::isinf(P.convertToDouble()) && P.convertToDouble() > 0.0); - P = APFloat::getInf(APFloat::IEEEdouble(), true); - P.roundToIntegral(APFloat::rmTowardZero); - EXPECT_TRUE(std::isinf(P.convertToDouble()) && P.convertToDouble() < 0.0); -} - -TEST(APFloatTest, isInteger) { - APFloat T(-0.0); - EXPECT_TRUE(T.isInteger()); - T = APFloat(3.14159); - EXPECT_FALSE(T.isInteger()); - T = APFloat::getNaN(APFloat::IEEEdouble()); - EXPECT_FALSE(T.isInteger()); - T = APFloat::getInf(APFloat::IEEEdouble()); - EXPECT_FALSE(T.isInteger()); - T = APFloat::getInf(APFloat::IEEEdouble(), true); - EXPECT_FALSE(T.isInteger()); - T = APFloat::getLargest(APFloat::IEEEdouble()); - EXPECT_TRUE(T.isInteger()); -} - -TEST(DoubleAPFloatTest, isInteger) { - APFloat F1(-0.0); - APFloat F2(-0.0); - llvm::detail::DoubleAPFloat T(APFloat::PPCDoubleDouble(), std::move(F1), - std::move(F2)); - EXPECT_TRUE(T.isInteger()); - APFloat F3(3.14159); - APFloat F4(-0.0); - llvm::detail::DoubleAPFloat T2(APFloat::PPCDoubleDouble(), std::move(F3), - std::move(F4)); - EXPECT_FALSE(T2.isInteger()); - APFloat F5(-0.0); - APFloat F6(3.14159); - llvm::detail::DoubleAPFloat T3(APFloat::PPCDoubleDouble(), std::move(F5), - std::move(F6)); - EXPECT_FALSE(T3.isInteger()); -} - -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, copySign) { - EXPECT_TRUE(APFloat(-42.0).bitwiseIsEqual( - APFloat::copySign(APFloat(42.0), APFloat(-1.0)))); - EXPECT_TRUE(APFloat(42.0).bitwiseIsEqual( - APFloat::copySign(APFloat(-42.0), APFloat(1.0)))); - EXPECT_TRUE(APFloat(-42.0).bitwiseIsEqual( - APFloat::copySign(APFloat(-42.0), APFloat(-1.0)))); - EXPECT_TRUE(APFloat(42.0).bitwiseIsEqual( - APFloat::copySign(APFloat(42.0), APFloat(1.0)))); -} - -TEST(APFloatTest, convert) { - bool losesInfo; - APFloat test(APFloat::IEEEdouble(), "1.0"); - 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]); - - // 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]); - - // PR30869 - { - auto Result = APFloat(APFloat::PPCDoubleDouble(), "1.0") + - APFloat(APFloat::PPCDoubleDouble(), "1.0"); - EXPECT_EQ(&APFloat::PPCDoubleDouble(), &Result.getSemantics()); - - Result = APFloat(APFloat::PPCDoubleDouble(), "1.0") - - APFloat(APFloat::PPCDoubleDouble(), "1.0"); - EXPECT_EQ(&APFloat::PPCDoubleDouble(), &Result.getSemantics()); - - Result = APFloat(APFloat::PPCDoubleDouble(), "1.0") * - APFloat(APFloat::PPCDoubleDouble(), "1.0"); - EXPECT_EQ(&APFloat::PPCDoubleDouble(), &Result.getSemantics()); - - Result = APFloat(APFloat::PPCDoubleDouble(), "1.0") / - APFloat(APFloat::PPCDoubleDouble(), "1.0"); - EXPECT_EQ(&APFloat::PPCDoubleDouble(), &Result.getSemantics()); - - int Exp; - Result = frexp(APFloat(APFloat::PPCDoubleDouble(), "1.0"), Exp, - APFloat::rmNearestTiesToEven); - EXPECT_EQ(&APFloat::PPCDoubleDouble(), &Result.getSemantics()); - - Result = scalbn(APFloat(APFloat::PPCDoubleDouble(), "1.0"), 1, - APFloat::rmNearestTiesToEven); - EXPECT_EQ(&APFloat::PPCDoubleDouble(), &Result.getSemantics()); - } -} - -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); - } -} - -TEST(APFloatTest, operatorOverloads) { - // This is mostly testing that these operator overloads compile. - APFloat One = APFloat(APFloat::IEEEsingle(), "0x1p+0"); - APFloat Two = APFloat(APFloat::IEEEsingle(), "0x2p+0"); - EXPECT_TRUE(Two.bitwiseIsEqual(One + One)); - EXPECT_TRUE(One.bitwiseIsEqual(Two - One)); - EXPECT_TRUE(Two.bitwiseIsEqual(One * Two)); - EXPECT_TRUE(One.bitwiseIsEqual(Two / Two)); -} - -TEST(APFloatTest, abs) { - APFloat PInf = APFloat::getInf(APFloat::IEEEsingle(), false); - APFloat MInf = APFloat::getInf(APFloat::IEEEsingle(), true); - APFloat PZero = APFloat::getZero(APFloat::IEEEsingle(), false); - APFloat MZero = APFloat::getZero(APFloat::IEEEsingle(), true); - APFloat PQNaN = APFloat::getNaN(APFloat::IEEEsingle(), false); - APFloat MQNaN = APFloat::getNaN(APFloat::IEEEsingle(), true); - APFloat PSNaN = APFloat::getSNaN(APFloat::IEEEsingle(), false); - APFloat MSNaN = APFloat::getSNaN(APFloat::IEEEsingle(), true); - APFloat PNormalValue = APFloat(APFloat::IEEEsingle(), "0x1p+0"); - APFloat MNormalValue = APFloat(APFloat::IEEEsingle(), "-0x1p+0"); - APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle(), false); - APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle(), true); - APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle(), false); - APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle(), true); - APFloat PSmallestNormalized = - APFloat::getSmallestNormalized(APFloat::IEEEsingle(), false); - APFloat MSmallestNormalized = - APFloat::getSmallestNormalized(APFloat::IEEEsingle(), true); - - EXPECT_TRUE(PInf.bitwiseIsEqual(abs(PInf))); - EXPECT_TRUE(PInf.bitwiseIsEqual(abs(MInf))); - EXPECT_TRUE(PZero.bitwiseIsEqual(abs(PZero))); - EXPECT_TRUE(PZero.bitwiseIsEqual(abs(MZero))); - EXPECT_TRUE(PQNaN.bitwiseIsEqual(abs(PQNaN))); - EXPECT_TRUE(PQNaN.bitwiseIsEqual(abs(MQNaN))); - EXPECT_TRUE(PSNaN.bitwiseIsEqual(abs(PSNaN))); - EXPECT_TRUE(PSNaN.bitwiseIsEqual(abs(MSNaN))); - EXPECT_TRUE(PNormalValue.bitwiseIsEqual(abs(PNormalValue))); - EXPECT_TRUE(PNormalValue.bitwiseIsEqual(abs(MNormalValue))); - EXPECT_TRUE(PLargestValue.bitwiseIsEqual(abs(PLargestValue))); - EXPECT_TRUE(PLargestValue.bitwiseIsEqual(abs(MLargestValue))); - EXPECT_TRUE(PSmallestValue.bitwiseIsEqual(abs(PSmallestValue))); - EXPECT_TRUE(PSmallestValue.bitwiseIsEqual(abs(MSmallestValue))); - EXPECT_TRUE(PSmallestNormalized.bitwiseIsEqual(abs(PSmallestNormalized))); - EXPECT_TRUE(PSmallestNormalized.bitwiseIsEqual(abs(MSmallestNormalized))); -} - -TEST(APFloatTest, neg) { - APFloat One = APFloat(APFloat::IEEEsingle(), "1.0"); - APFloat NegOne = APFloat(APFloat::IEEEsingle(), "-1.0"); - APFloat Zero = APFloat::getZero(APFloat::IEEEsingle(), false); - APFloat NegZero = APFloat::getZero(APFloat::IEEEsingle(), true); - APFloat Inf = APFloat::getInf(APFloat::IEEEsingle(), false); - APFloat NegInf = APFloat::getInf(APFloat::IEEEsingle(), true); - APFloat QNaN = APFloat::getNaN(APFloat::IEEEsingle(), false); - APFloat NegQNaN = APFloat::getNaN(APFloat::IEEEsingle(), true); - - EXPECT_TRUE(NegOne.bitwiseIsEqual(neg(One))); - EXPECT_TRUE(One.bitwiseIsEqual(neg(NegOne))); - EXPECT_TRUE(NegZero.bitwiseIsEqual(neg(Zero))); - EXPECT_TRUE(Zero.bitwiseIsEqual(neg(NegZero))); - EXPECT_TRUE(NegInf.bitwiseIsEqual(neg(Inf))); - EXPECT_TRUE(Inf.bitwiseIsEqual(neg(NegInf))); - EXPECT_TRUE(NegInf.bitwiseIsEqual(neg(Inf))); - EXPECT_TRUE(Inf.bitwiseIsEqual(neg(NegInf))); - EXPECT_TRUE(NegQNaN.bitwiseIsEqual(neg(QNaN))); - EXPECT_TRUE(QNaN.bitwiseIsEqual(neg(NegQNaN))); -} - -TEST(APFloatTest, ilogb) { - EXPECT_EQ(-1074, ilogb(APFloat::getSmallest(APFloat::IEEEdouble(), false))); - EXPECT_EQ(-1074, ilogb(APFloat::getSmallest(APFloat::IEEEdouble(), true))); - EXPECT_EQ(-1023, ilogb(APFloat(APFloat::IEEEdouble(), "0x1.ffffffffffffep-1024"))); - EXPECT_EQ(-1023, ilogb(APFloat(APFloat::IEEEdouble(), "0x1.ffffffffffffep-1023"))); - EXPECT_EQ(-1023, ilogb(APFloat(APFloat::IEEEdouble(), "-0x1.ffffffffffffep-1023"))); - EXPECT_EQ(-51, ilogb(APFloat(APFloat::IEEEdouble(), "0x1p-51"))); - EXPECT_EQ(-1023, ilogb(APFloat(APFloat::IEEEdouble(), "0x1.c60f120d9f87cp-1023"))); - EXPECT_EQ(-2, ilogb(APFloat(APFloat::IEEEdouble(), "0x0.ffffp-1"))); - EXPECT_EQ(-1023, ilogb(APFloat(APFloat::IEEEdouble(), "0x1.fffep-1023"))); - EXPECT_EQ(1023, ilogb(APFloat::getLargest(APFloat::IEEEdouble(), false))); - EXPECT_EQ(1023, ilogb(APFloat::getLargest(APFloat::IEEEdouble(), true))); - - - EXPECT_EQ(0, ilogb(APFloat(APFloat::IEEEsingle(), "0x1p+0"))); - EXPECT_EQ(0, ilogb(APFloat(APFloat::IEEEsingle(), "-0x1p+0"))); - EXPECT_EQ(42, ilogb(APFloat(APFloat::IEEEsingle(), "0x1p+42"))); - EXPECT_EQ(-42, ilogb(APFloat(APFloat::IEEEsingle(), "0x1p-42"))); - - EXPECT_EQ(APFloat::IEK_Inf, - ilogb(APFloat::getInf(APFloat::IEEEsingle(), false))); - EXPECT_EQ(APFloat::IEK_Inf, - ilogb(APFloat::getInf(APFloat::IEEEsingle(), true))); - EXPECT_EQ(APFloat::IEK_Zero, - ilogb(APFloat::getZero(APFloat::IEEEsingle(), false))); - EXPECT_EQ(APFloat::IEK_Zero, - ilogb(APFloat::getZero(APFloat::IEEEsingle(), true))); - EXPECT_EQ(APFloat::IEK_NaN, - ilogb(APFloat::getNaN(APFloat::IEEEsingle(), false))); - EXPECT_EQ(APFloat::IEK_NaN, - ilogb(APFloat::getSNaN(APFloat::IEEEsingle(), false))); - - EXPECT_EQ(127, ilogb(APFloat::getLargest(APFloat::IEEEsingle(), false))); - EXPECT_EQ(127, ilogb(APFloat::getLargest(APFloat::IEEEsingle(), true))); - - EXPECT_EQ(-149, ilogb(APFloat::getSmallest(APFloat::IEEEsingle(), false))); - EXPECT_EQ(-149, ilogb(APFloat::getSmallest(APFloat::IEEEsingle(), true))); - EXPECT_EQ(-126, - ilogb(APFloat::getSmallestNormalized(APFloat::IEEEsingle(), false))); - EXPECT_EQ(-126, - ilogb(APFloat::getSmallestNormalized(APFloat::IEEEsingle(), true))); -} - -TEST(APFloatTest, scalbn) { - - const APFloat::roundingMode RM = APFloat::rmNearestTiesToEven; - EXPECT_TRUE( - APFloat(APFloat::IEEEsingle(), "0x1p+0") - .bitwiseIsEqual(scalbn(APFloat(APFloat::IEEEsingle(), "0x1p+0"), 0, RM))); - EXPECT_TRUE( - APFloat(APFloat::IEEEsingle(), "0x1p+42") - .bitwiseIsEqual(scalbn(APFloat(APFloat::IEEEsingle(), "0x1p+0"), 42, RM))); - EXPECT_TRUE( - APFloat(APFloat::IEEEsingle(), "0x1p-42") - .bitwiseIsEqual(scalbn(APFloat(APFloat::IEEEsingle(), "0x1p+0"), -42, RM))); - - APFloat PInf = APFloat::getInf(APFloat::IEEEsingle(), false); - APFloat MInf = APFloat::getInf(APFloat::IEEEsingle(), true); - APFloat PZero = APFloat::getZero(APFloat::IEEEsingle(), false); - APFloat MZero = APFloat::getZero(APFloat::IEEEsingle(), true); - APFloat QPNaN = APFloat::getNaN(APFloat::IEEEsingle(), false); - APFloat QMNaN = APFloat::getNaN(APFloat::IEEEsingle(), true); - APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle(), false); - - EXPECT_TRUE(PInf.bitwiseIsEqual(scalbn(PInf, 0, RM))); - EXPECT_TRUE(MInf.bitwiseIsEqual(scalbn(MInf, 0, RM))); - EXPECT_TRUE(PZero.bitwiseIsEqual(scalbn(PZero, 0, RM))); - EXPECT_TRUE(MZero.bitwiseIsEqual(scalbn(MZero, 0, RM))); - EXPECT_TRUE(QPNaN.bitwiseIsEqual(scalbn(QPNaN, 0, RM))); - EXPECT_TRUE(QMNaN.bitwiseIsEqual(scalbn(QMNaN, 0, RM))); - EXPECT_FALSE(scalbn(SNaN, 0, RM).isSignaling()); - - APFloat ScalbnSNaN = scalbn(SNaN, 1, RM); - EXPECT_TRUE(ScalbnSNaN.isNaN() && !ScalbnSNaN.isSignaling()); - - // Make sure highest bit of payload is preserved. - const APInt Payload(64, (UINT64_C(1) << 50) | - (UINT64_C(1) << 49) | - (UINT64_C(1234) << 32) | - 1); - - APFloat SNaNWithPayload = APFloat::getSNaN(APFloat::IEEEdouble(), false, - &Payload); - APFloat QuietPayload = scalbn(SNaNWithPayload, 1, RM); - EXPECT_TRUE(QuietPayload.isNaN() && !QuietPayload.isSignaling()); - EXPECT_EQ(Payload, QuietPayload.bitcastToAPInt().getLoBits(51)); - - EXPECT_TRUE(PInf.bitwiseIsEqual( - scalbn(APFloat(APFloat::IEEEsingle(), "0x1p+0"), 128, RM))); - EXPECT_TRUE(MInf.bitwiseIsEqual( - scalbn(APFloat(APFloat::IEEEsingle(), "-0x1p+0"), 128, RM))); - EXPECT_TRUE(PInf.bitwiseIsEqual( - scalbn(APFloat(APFloat::IEEEsingle(), "0x1p+127"), 1, RM))); - EXPECT_TRUE(PZero.bitwiseIsEqual( - scalbn(APFloat(APFloat::IEEEsingle(), "0x1p-127"), -127, RM))); - EXPECT_TRUE(MZero.bitwiseIsEqual( - scalbn(APFloat(APFloat::IEEEsingle(), "-0x1p-127"), -127, RM))); - EXPECT_TRUE(APFloat(APFloat::IEEEsingle(), "-0x1p-149").bitwiseIsEqual( - scalbn(APFloat(APFloat::IEEEsingle(), "-0x1p-127"), -22, RM))); - EXPECT_TRUE(PZero.bitwiseIsEqual( - scalbn(APFloat(APFloat::IEEEsingle(), "0x1p-126"), -24, RM))); - - - APFloat SmallestF64 = APFloat::getSmallest(APFloat::IEEEdouble(), false); - APFloat NegSmallestF64 = APFloat::getSmallest(APFloat::IEEEdouble(), true); - - APFloat LargestF64 = APFloat::getLargest(APFloat::IEEEdouble(), false); - APFloat NegLargestF64 = APFloat::getLargest(APFloat::IEEEdouble(), true); - - APFloat SmallestNormalizedF64 - = APFloat::getSmallestNormalized(APFloat::IEEEdouble(), false); - APFloat NegSmallestNormalizedF64 - = APFloat::getSmallestNormalized(APFloat::IEEEdouble(), true); - - APFloat LargestDenormalF64(APFloat::IEEEdouble(), "0x1.ffffffffffffep-1023"); - APFloat NegLargestDenormalF64(APFloat::IEEEdouble(), "-0x1.ffffffffffffep-1023"); - - - EXPECT_TRUE(SmallestF64.bitwiseIsEqual( - scalbn(APFloat(APFloat::IEEEdouble(), "0x1p-1074"), 0, RM))); - EXPECT_TRUE(NegSmallestF64.bitwiseIsEqual( - scalbn(APFloat(APFloat::IEEEdouble(), "-0x1p-1074"), 0, RM))); - - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1p+1023") - .bitwiseIsEqual(scalbn(SmallestF64, 2097, RM))); - - EXPECT_TRUE(scalbn(SmallestF64, -2097, RM).isPosZero()); - EXPECT_TRUE(scalbn(SmallestF64, -2098, RM).isPosZero()); - EXPECT_TRUE(scalbn(SmallestF64, -2099, RM).isPosZero()); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1p+1022") - .bitwiseIsEqual(scalbn(SmallestF64, 2096, RM))); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1p+1023") - .bitwiseIsEqual(scalbn(SmallestF64, 2097, RM))); - EXPECT_TRUE(scalbn(SmallestF64, 2098, RM).isInfinity()); - EXPECT_TRUE(scalbn(SmallestF64, 2099, RM).isInfinity()); - - // Test for integer overflows when adding to exponent. - EXPECT_TRUE(scalbn(SmallestF64, -INT_MAX, RM).isPosZero()); - EXPECT_TRUE(scalbn(LargestF64, INT_MAX, RM).isInfinity()); - - EXPECT_TRUE(LargestDenormalF64 - .bitwiseIsEqual(scalbn(LargestDenormalF64, 0, RM))); - EXPECT_TRUE(NegLargestDenormalF64 - .bitwiseIsEqual(scalbn(NegLargestDenormalF64, 0, RM))); - - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1.ffffffffffffep-1022") - .bitwiseIsEqual(scalbn(LargestDenormalF64, 1, RM))); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "-0x1.ffffffffffffep-1021") - .bitwiseIsEqual(scalbn(NegLargestDenormalF64, 2, RM))); - - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1.ffffffffffffep+1") - .bitwiseIsEqual(scalbn(LargestDenormalF64, 1024, RM))); - EXPECT_TRUE(scalbn(LargestDenormalF64, -1023, RM).isPosZero()); - EXPECT_TRUE(scalbn(LargestDenormalF64, -1024, RM).isPosZero()); - EXPECT_TRUE(scalbn(LargestDenormalF64, -2048, RM).isPosZero()); - EXPECT_TRUE(scalbn(LargestDenormalF64, 2047, RM).isInfinity()); - EXPECT_TRUE(scalbn(LargestDenormalF64, 2098, RM).isInfinity()); - EXPECT_TRUE(scalbn(LargestDenormalF64, 2099, RM).isInfinity()); - - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1.ffffffffffffep-2") - .bitwiseIsEqual(scalbn(LargestDenormalF64, 1021, RM))); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1.ffffffffffffep-1") - .bitwiseIsEqual(scalbn(LargestDenormalF64, 1022, RM))); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1.ffffffffffffep+0") - .bitwiseIsEqual(scalbn(LargestDenormalF64, 1023, RM))); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1.ffffffffffffep+1023") - .bitwiseIsEqual(scalbn(LargestDenormalF64, 2046, RM))); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1p+974") - .bitwiseIsEqual(scalbn(SmallestF64, 2048, RM))); - - APFloat RandomDenormalF64(APFloat::IEEEdouble(), "0x1.c60f120d9f87cp+51"); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1.c60f120d9f87cp-972") - .bitwiseIsEqual(scalbn(RandomDenormalF64, -1023, RM))); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1.c60f120d9f87cp-1") - .bitwiseIsEqual(scalbn(RandomDenormalF64, -52, RM))); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1.c60f120d9f87cp-2") - .bitwiseIsEqual(scalbn(RandomDenormalF64, -53, RM))); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1.c60f120d9f87cp+0") - .bitwiseIsEqual(scalbn(RandomDenormalF64, -51, RM))); - - EXPECT_TRUE(scalbn(RandomDenormalF64, -2097, RM).isPosZero()); - EXPECT_TRUE(scalbn(RandomDenormalF64, -2090, RM).isPosZero()); - - - EXPECT_TRUE( - APFloat(APFloat::IEEEdouble(), "-0x1p-1073") - .bitwiseIsEqual(scalbn(NegLargestF64, -2097, RM))); - - EXPECT_TRUE( - APFloat(APFloat::IEEEdouble(), "-0x1p-1024") - .bitwiseIsEqual(scalbn(NegLargestF64, -2048, RM))); - - EXPECT_TRUE( - APFloat(APFloat::IEEEdouble(), "0x1p-1073") - .bitwiseIsEqual(scalbn(LargestF64, -2097, RM))); - - EXPECT_TRUE( - APFloat(APFloat::IEEEdouble(), "0x1p-1074") - .bitwiseIsEqual(scalbn(LargestF64, -2098, RM))); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "-0x1p-1074") - .bitwiseIsEqual(scalbn(NegLargestF64, -2098, RM))); - EXPECT_TRUE(scalbn(NegLargestF64, -2099, RM).isNegZero()); - EXPECT_TRUE(scalbn(LargestF64, 1, RM).isInfinity()); - - - EXPECT_TRUE( - APFloat(APFloat::IEEEdouble(), "0x1p+0") - .bitwiseIsEqual(scalbn(APFloat(APFloat::IEEEdouble(), "0x1p+52"), -52, RM))); - - EXPECT_TRUE( - APFloat(APFloat::IEEEdouble(), "0x1p-103") - .bitwiseIsEqual(scalbn(APFloat(APFloat::IEEEdouble(), "0x1p-51"), -52, RM))); -} - -TEST(APFloatTest, frexp) { - const APFloat::roundingMode RM = APFloat::rmNearestTiesToEven; - - APFloat PZero = APFloat::getZero(APFloat::IEEEdouble(), false); - APFloat MZero = APFloat::getZero(APFloat::IEEEdouble(), true); - APFloat One(1.0); - APFloat MOne(-1.0); - APFloat Two(2.0); - APFloat MTwo(-2.0); - - APFloat LargestDenormal(APFloat::IEEEdouble(), "0x1.ffffffffffffep-1023"); - APFloat NegLargestDenormal(APFloat::IEEEdouble(), "-0x1.ffffffffffffep-1023"); - - APFloat Smallest = APFloat::getSmallest(APFloat::IEEEdouble(), false); - APFloat NegSmallest = APFloat::getSmallest(APFloat::IEEEdouble(), true); - - APFloat Largest = APFloat::getLargest(APFloat::IEEEdouble(), false); - APFloat NegLargest = APFloat::getLargest(APFloat::IEEEdouble(), true); - - APFloat PInf = APFloat::getInf(APFloat::IEEEdouble(), false); - APFloat MInf = APFloat::getInf(APFloat::IEEEdouble(), true); - - APFloat QPNaN = APFloat::getNaN(APFloat::IEEEdouble(), false); - APFloat QMNaN = APFloat::getNaN(APFloat::IEEEdouble(), true); - APFloat SNaN = APFloat::getSNaN(APFloat::IEEEdouble(), false); - - // Make sure highest bit of payload is preserved. - const APInt Payload(64, (UINT64_C(1) << 50) | - (UINT64_C(1) << 49) | - (UINT64_C(1234) << 32) | - 1); - - APFloat SNaNWithPayload = APFloat::getSNaN(APFloat::IEEEdouble(), false, - &Payload); - - APFloat SmallestNormalized - = APFloat::getSmallestNormalized(APFloat::IEEEdouble(), false); - APFloat NegSmallestNormalized - = APFloat::getSmallestNormalized(APFloat::IEEEdouble(), true); - - int Exp; - APFloat Frac(APFloat::IEEEdouble()); - - - Frac = frexp(PZero, Exp, RM); - EXPECT_EQ(0, Exp); - EXPECT_TRUE(Frac.isPosZero()); - - Frac = frexp(MZero, Exp, RM); - EXPECT_EQ(0, Exp); - EXPECT_TRUE(Frac.isNegZero()); - - - Frac = frexp(One, Exp, RM); - EXPECT_EQ(1, Exp); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1p-1").bitwiseIsEqual(Frac)); - - Frac = frexp(MOne, Exp, RM); - EXPECT_EQ(1, Exp); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "-0x1p-1").bitwiseIsEqual(Frac)); - - Frac = frexp(LargestDenormal, Exp, RM); - EXPECT_EQ(-1022, Exp); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1.ffffffffffffep-1").bitwiseIsEqual(Frac)); - - Frac = frexp(NegLargestDenormal, Exp, RM); - EXPECT_EQ(-1022, Exp); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "-0x1.ffffffffffffep-1").bitwiseIsEqual(Frac)); - - - Frac = frexp(Smallest, Exp, RM); - EXPECT_EQ(-1073, Exp); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1p-1").bitwiseIsEqual(Frac)); - - Frac = frexp(NegSmallest, Exp, RM); - EXPECT_EQ(-1073, Exp); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "-0x1p-1").bitwiseIsEqual(Frac)); - - - Frac = frexp(Largest, Exp, RM); - EXPECT_EQ(1024, Exp); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1.fffffffffffffp-1").bitwiseIsEqual(Frac)); - - Frac = frexp(NegLargest, Exp, RM); - EXPECT_EQ(1024, Exp); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "-0x1.fffffffffffffp-1").bitwiseIsEqual(Frac)); - - - Frac = frexp(PInf, Exp, RM); - EXPECT_EQ(INT_MAX, Exp); - EXPECT_TRUE(Frac.isInfinity() && !Frac.isNegative()); - - Frac = frexp(MInf, Exp, RM); - EXPECT_EQ(INT_MAX, Exp); - EXPECT_TRUE(Frac.isInfinity() && Frac.isNegative()); - - Frac = frexp(QPNaN, Exp, RM); - EXPECT_EQ(INT_MIN, Exp); - EXPECT_TRUE(Frac.isNaN()); - - Frac = frexp(QMNaN, Exp, RM); - EXPECT_EQ(INT_MIN, Exp); - EXPECT_TRUE(Frac.isNaN()); - - Frac = frexp(SNaN, Exp, RM); - EXPECT_EQ(INT_MIN, Exp); - EXPECT_TRUE(Frac.isNaN() && !Frac.isSignaling()); - - Frac = frexp(SNaNWithPayload, Exp, RM); - EXPECT_EQ(INT_MIN, Exp); - EXPECT_TRUE(Frac.isNaN() && !Frac.isSignaling()); - EXPECT_EQ(Payload, Frac.bitcastToAPInt().getLoBits(51)); - - Frac = frexp(APFloat(APFloat::IEEEdouble(), "0x0.ffffp-1"), Exp, RM); - EXPECT_EQ(-1, Exp); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1.fffep-1").bitwiseIsEqual(Frac)); - - Frac = frexp(APFloat(APFloat::IEEEdouble(), "0x1p-51"), Exp, RM); - EXPECT_EQ(-50, Exp); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1p-1").bitwiseIsEqual(Frac)); - - Frac = frexp(APFloat(APFloat::IEEEdouble(), "0x1.c60f120d9f87cp+51"), Exp, RM); - EXPECT_EQ(52, Exp); - EXPECT_TRUE(APFloat(APFloat::IEEEdouble(), "0x1.c60f120d9f87cp-1").bitwiseIsEqual(Frac)); -} - -TEST(APFloatTest, mod) { - { - APFloat f1(APFloat::IEEEdouble(), "1.5"); - APFloat f2(APFloat::IEEEdouble(), "1.0"); - APFloat expected(APFloat::IEEEdouble(), "0.5"); - EXPECT_EQ(f1.mod(f2), APFloat::opOK); - EXPECT_TRUE(f1.bitwiseIsEqual(expected)); - } - { - APFloat f1(APFloat::IEEEdouble(), "0.5"); - APFloat f2(APFloat::IEEEdouble(), "1.0"); - APFloat expected(APFloat::IEEEdouble(), "0.5"); - EXPECT_EQ(f1.mod(f2), APFloat::opOK); - EXPECT_TRUE(f1.bitwiseIsEqual(expected)); - } - { - APFloat f1(APFloat::IEEEdouble(), "0x1.3333333333333p-2"); // 0.3 - APFloat f2(APFloat::IEEEdouble(), "0x1.47ae147ae147bp-7"); // 0.01 - APFloat expected(APFloat::IEEEdouble(), - "0x1.47ae147ae1471p-7"); // 0.009999999999999983 - EXPECT_EQ(f1.mod(f2), APFloat::opOK); - EXPECT_TRUE(f1.bitwiseIsEqual(expected)); - } - { - APFloat f1(APFloat::IEEEdouble(), "0x1p64"); // 1.8446744073709552e19 - APFloat f2(APFloat::IEEEdouble(), "1.5"); - APFloat expected(APFloat::IEEEdouble(), "1.0"); - EXPECT_EQ(f1.mod(f2), APFloat::opOK); - EXPECT_TRUE(f1.bitwiseIsEqual(expected)); - } - { - APFloat f1(APFloat::IEEEdouble(), "0x1p1000"); - APFloat f2(APFloat::IEEEdouble(), "0x1p-1000"); - APFloat expected(APFloat::IEEEdouble(), "0.0"); - EXPECT_EQ(f1.mod(f2), APFloat::opOK); - EXPECT_TRUE(f1.bitwiseIsEqual(expected)); - } - { - APFloat f1(APFloat::IEEEdouble(), "0.0"); - APFloat f2(APFloat::IEEEdouble(), "1.0"); - APFloat expected(APFloat::IEEEdouble(), "0.0"); - EXPECT_EQ(f1.mod(f2), APFloat::opOK); - EXPECT_TRUE(f1.bitwiseIsEqual(expected)); - } - { - APFloat f1(APFloat::IEEEdouble(), "1.0"); - APFloat f2(APFloat::IEEEdouble(), "0.0"); - EXPECT_EQ(f1.mod(f2), APFloat::opInvalidOp); - EXPECT_TRUE(f1.isNaN()); - } - { - APFloat f1(APFloat::IEEEdouble(), "0.0"); - APFloat f2(APFloat::IEEEdouble(), "0.0"); - EXPECT_EQ(f1.mod(f2), APFloat::opInvalidOp); - EXPECT_TRUE(f1.isNaN()); - } - { - APFloat f1 = APFloat::getInf(APFloat::IEEEdouble(), false); - APFloat f2(APFloat::IEEEdouble(), "1.0"); - EXPECT_EQ(f1.mod(f2), APFloat::opInvalidOp); - EXPECT_TRUE(f1.isNaN()); - } - { - APFloat f1(APFloat::IEEEdouble(), "-4.0"); - APFloat f2(APFloat::IEEEdouble(), "-2.0"); - APFloat expected(APFloat::IEEEdouble(), "-0.0"); - EXPECT_EQ(f1.mod(f2), APFloat::opOK); - EXPECT_TRUE(f1.bitwiseIsEqual(expected)); - } - { - APFloat f1(APFloat::IEEEdouble(), "-4.0"); - APFloat f2(APFloat::IEEEdouble(), "2.0"); - APFloat expected(APFloat::IEEEdouble(), "-0.0"); - EXPECT_EQ(f1.mod(f2), APFloat::opOK); - EXPECT_TRUE(f1.bitwiseIsEqual(expected)); - } -} - -TEST(APFloatTest, PPCDoubleDoubleAddSpecial) { - using DataType = std::tuple<uint64_t, uint64_t, uint64_t, uint64_t, - APFloat::fltCategory, APFloat::roundingMode>; - DataType Data[] = { - // (1 + 0) + (-1 + 0) = fcZero - std::make_tuple(0x3ff0000000000000ull, 0, 0xbff0000000000000ull, 0, - APFloat::fcZero, APFloat::rmNearestTiesToEven), - // LDBL_MAX + (1.1 >> (1023 - 106) + 0)) = fcInfinity - std::make_tuple(0x7fefffffffffffffull, 0x7c8ffffffffffffeull, - 0x7948000000000000ull, 0ull, APFloat::fcInfinity, - APFloat::rmNearestTiesToEven), - // TODO: change the 4th 0x75effffffffffffe to 0x75efffffffffffff when - // semPPCDoubleDoubleLegacy is gone. - // LDBL_MAX + (1.011111... >> (1023 - 106) + (1.1111111...0 >> (1023 - - // 160))) = fcNormal - std::make_tuple(0x7fefffffffffffffull, 0x7c8ffffffffffffeull, - 0x7947ffffffffffffull, 0x75effffffffffffeull, - APFloat::fcNormal, APFloat::rmNearestTiesToEven), - // LDBL_MAX + (1.1 >> (1023 - 106) + 0)) = fcInfinity - std::make_tuple(0x7fefffffffffffffull, 0x7c8ffffffffffffeull, - 0x7fefffffffffffffull, 0x7c8ffffffffffffeull, - APFloat::fcInfinity, APFloat::rmNearestTiesToEven), - // NaN + (1 + 0) = fcNaN - std::make_tuple(0x7ff8000000000000ull, 0, 0x3ff0000000000000ull, 0, - APFloat::fcNaN, APFloat::rmNearestTiesToEven), - }; - - for (auto Tp : Data) { - uint64_t Op1[2], Op2[2]; - APFloat::fltCategory Expected; - APFloat::roundingMode RM; - std::tie(Op1[0], Op1[1], Op2[0], Op2[1], Expected, RM) = Tp; - - { - APFloat A1(APFloat::PPCDoubleDouble(), APInt(128, 2, Op1)); - APFloat A2(APFloat::PPCDoubleDouble(), APInt(128, 2, Op2)); - A1.add(A2, RM); - - EXPECT_EQ(Expected, A1.getCategory()) - << formatv("({0:x} + {1:x}) + ({2:x} + {3:x})", Op1[0], Op1[1], - Op2[0], Op2[1]) - .str(); - } - { - APFloat A1(APFloat::PPCDoubleDouble(), APInt(128, 2, Op1)); - APFloat A2(APFloat::PPCDoubleDouble(), APInt(128, 2, Op2)); - A2.add(A1, RM); - - EXPECT_EQ(Expected, A2.getCategory()) - << formatv("({0:x} + {1:x}) + ({2:x} + {3:x})", Op2[0], Op2[1], - Op1[0], Op1[1]) - .str(); - } - } -} - -TEST(APFloatTest, PPCDoubleDoubleAdd) { - using DataType = std::tuple<uint64_t, uint64_t, uint64_t, uint64_t, uint64_t, - uint64_t, APFloat::roundingMode>; - DataType Data[] = { - // (1 + 0) + (1e-105 + 0) = (1 + 1e-105) - std::make_tuple(0x3ff0000000000000ull, 0, 0x3960000000000000ull, 0, - 0x3ff0000000000000ull, 0x3960000000000000ull, - APFloat::rmNearestTiesToEven), - // (1 + 0) + (1e-106 + 0) = (1 + 1e-106) - std::make_tuple(0x3ff0000000000000ull, 0, 0x3950000000000000ull, 0, - 0x3ff0000000000000ull, 0x3950000000000000ull, - APFloat::rmNearestTiesToEven), - // (1 + 1e-106) + (1e-106 + 0) = (1 + 1e-105) - std::make_tuple(0x3ff0000000000000ull, 0x3950000000000000ull, - 0x3950000000000000ull, 0, 0x3ff0000000000000ull, - 0x3960000000000000ull, APFloat::rmNearestTiesToEven), - // (1 + 0) + (epsilon + 0) = (1 + epsilon) - std::make_tuple(0x3ff0000000000000ull, 0, 0x0000000000000001ull, 0, - 0x3ff0000000000000ull, 0x0000000000000001ull, - APFloat::rmNearestTiesToEven), - // TODO: change 0xf950000000000000 to 0xf940000000000000, when - // semPPCDoubleDoubleLegacy is gone. - // (DBL_MAX - 1 << (1023 - 105)) + (1 << (1023 - 53) + 0) = DBL_MAX + - // 1.11111... << (1023 - 52) - std::make_tuple(0x7fefffffffffffffull, 0xf950000000000000ull, - 0x7c90000000000000ull, 0, 0x7fefffffffffffffull, - 0x7c8ffffffffffffeull, APFloat::rmNearestTiesToEven), - // TODO: change 0xf950000000000000 to 0xf940000000000000, when - // semPPCDoubleDoubleLegacy is gone. - // (1 << (1023 - 53) + 0) + (DBL_MAX - 1 << (1023 - 105)) = DBL_MAX + - // 1.11111... << (1023 - 52) - std::make_tuple(0x7c90000000000000ull, 0, 0x7fefffffffffffffull, - 0xf950000000000000ull, 0x7fefffffffffffffull, - 0x7c8ffffffffffffeull, APFloat::rmNearestTiesToEven), - }; - - for (auto Tp : Data) { - uint64_t Op1[2], Op2[2], Expected[2]; - APFloat::roundingMode RM; - std::tie(Op1[0], Op1[1], Op2[0], Op2[1], Expected[0], Expected[1], RM) = Tp; - - { - APFloat A1(APFloat::PPCDoubleDouble(), APInt(128, 2, Op1)); - APFloat A2(APFloat::PPCDoubleDouble(), APInt(128, 2, Op2)); - A1.add(A2, RM); - - EXPECT_EQ(Expected[0], A1.bitcastToAPInt().getRawData()[0]) - << formatv("({0:x} + {1:x}) + ({2:x} + {3:x})", Op1[0], Op1[1], - Op2[0], Op2[1]) - .str(); - EXPECT_EQ(Expected[1], A1.bitcastToAPInt().getRawData()[1]) - << formatv("({0:x} + {1:x}) + ({2:x} + {3:x})", Op1[0], Op1[1], - Op2[0], Op2[1]) - .str(); - } - { - APFloat A1(APFloat::PPCDoubleDouble(), APInt(128, 2, Op1)); - APFloat A2(APFloat::PPCDoubleDouble(), APInt(128, 2, Op2)); - A2.add(A1, RM); - - EXPECT_EQ(Expected[0], A2.bitcastToAPInt().getRawData()[0]) - << formatv("({0:x} + {1:x}) + ({2:x} + {3:x})", Op2[0], Op2[1], - Op1[0], Op1[1]) - .str(); - EXPECT_EQ(Expected[1], A2.bitcastToAPInt().getRawData()[1]) - << formatv("({0:x} + {1:x}) + ({2:x} + {3:x})", Op2[0], Op2[1], - Op1[0], Op1[1]) - .str(); - } - } -} - -TEST(APFloatTest, PPCDoubleDoubleSubtract) { - using DataType = std::tuple<uint64_t, uint64_t, uint64_t, uint64_t, uint64_t, - uint64_t, APFloat::roundingMode>; - DataType Data[] = { - // (1 + 0) - (-1e-105 + 0) = (1 + 1e-105) - std::make_tuple(0x3ff0000000000000ull, 0, 0xb960000000000000ull, 0, - 0x3ff0000000000000ull, 0x3960000000000000ull, - APFloat::rmNearestTiesToEven), - // (1 + 0) - (-1e-106 + 0) = (1 + 1e-106) - std::make_tuple(0x3ff0000000000000ull, 0, 0xb950000000000000ull, 0, - 0x3ff0000000000000ull, 0x3950000000000000ull, - APFloat::rmNearestTiesToEven), - }; - - for (auto Tp : Data) { - uint64_t Op1[2], Op2[2], Expected[2]; - APFloat::roundingMode RM; - std::tie(Op1[0], Op1[1], Op2[0], Op2[1], Expected[0], Expected[1], RM) = Tp; - - APFloat A1(APFloat::PPCDoubleDouble(), APInt(128, 2, Op1)); - APFloat A2(APFloat::PPCDoubleDouble(), APInt(128, 2, Op2)); - A1.subtract(A2, RM); - - EXPECT_EQ(Expected[0], A1.bitcastToAPInt().getRawData()[0]) - << formatv("({0:x} + {1:x}) - ({2:x} + {3:x})", Op1[0], Op1[1], Op2[0], - Op2[1]) - .str(); - EXPECT_EQ(Expected[1], A1.bitcastToAPInt().getRawData()[1]) - << formatv("({0:x} + {1:x}) - ({2:x} + {3:x})", Op1[0], Op1[1], Op2[0], - Op2[1]) - .str(); - } -} - -TEST(APFloatTest, PPCDoubleDoubleMultiplySpecial) { - using DataType = std::tuple<uint64_t, uint64_t, uint64_t, uint64_t, - APFloat::fltCategory, APFloat::roundingMode>; - DataType Data[] = { - // fcNaN * fcNaN = fcNaN - std::make_tuple(0x7ff8000000000000ull, 0, 0x7ff8000000000000ull, 0, - APFloat::fcNaN, APFloat::rmNearestTiesToEven), - // fcNaN * fcZero = fcNaN - std::make_tuple(0x7ff8000000000000ull, 0, 0, 0, APFloat::fcNaN, - APFloat::rmNearestTiesToEven), - // fcNaN * fcInfinity = fcNaN - std::make_tuple(0x7ff8000000000000ull, 0, 0x7ff0000000000000ull, 0, - APFloat::fcNaN, APFloat::rmNearestTiesToEven), - // fcNaN * fcNormal = fcNaN - std::make_tuple(0x7ff8000000000000ull, 0, 0x3ff0000000000000ull, 0, - APFloat::fcNaN, APFloat::rmNearestTiesToEven), - // fcInfinity * fcInfinity = fcInfinity - std::make_tuple(0x7ff0000000000000ull, 0, 0x7ff0000000000000ull, 0, - APFloat::fcInfinity, APFloat::rmNearestTiesToEven), - // fcInfinity * fcZero = fcNaN - std::make_tuple(0x7ff0000000000000ull, 0, 0, 0, APFloat::fcNaN, - APFloat::rmNearestTiesToEven), - // fcInfinity * fcNormal = fcInfinity - std::make_tuple(0x7ff0000000000000ull, 0, 0x3ff0000000000000ull, 0, - APFloat::fcInfinity, APFloat::rmNearestTiesToEven), - // fcZero * fcZero = fcZero - std::make_tuple(0, 0, 0, 0, APFloat::fcZero, - APFloat::rmNearestTiesToEven), - // fcZero * fcNormal = fcZero - std::make_tuple(0, 0, 0x3ff0000000000000ull, 0, APFloat::fcZero, - APFloat::rmNearestTiesToEven), - }; - - for (auto Tp : Data) { - uint64_t Op1[2], Op2[2]; - APFloat::fltCategory Expected; - APFloat::roundingMode RM; - std::tie(Op1[0], Op1[1], Op2[0], Op2[1], Expected, RM) = Tp; - - { - APFloat A1(APFloat::PPCDoubleDouble(), APInt(128, 2, Op1)); - APFloat A2(APFloat::PPCDoubleDouble(), APInt(128, 2, Op2)); - A1.multiply(A2, RM); - - EXPECT_EQ(Expected, A1.getCategory()) - << formatv("({0:x} + {1:x}) * ({2:x} + {3:x})", Op1[0], Op1[1], - Op2[0], Op2[1]) - .str(); - } - { - APFloat A1(APFloat::PPCDoubleDouble(), APInt(128, 2, Op1)); - APFloat A2(APFloat::PPCDoubleDouble(), APInt(128, 2, Op2)); - A2.multiply(A1, RM); - - EXPECT_EQ(Expected, A2.getCategory()) - << formatv("({0:x} + {1:x}) * ({2:x} + {3:x})", Op2[0], Op2[1], - Op1[0], Op1[1]) - .str(); - } - } -} - -TEST(APFloatTest, PPCDoubleDoubleMultiply) { - using DataType = std::tuple<uint64_t, uint64_t, uint64_t, uint64_t, uint64_t, - uint64_t, APFloat::roundingMode>; - DataType Data[] = { - // 1/3 * 3 = 1.0 - std::make_tuple(0x3fd5555555555555ull, 0x3c75555555555556ull, - 0x4008000000000000ull, 0, 0x3ff0000000000000ull, 0, - APFloat::rmNearestTiesToEven), - // (1 + epsilon) * (1 + 0) = fcZero - std::make_tuple(0x3ff0000000000000ull, 0x0000000000000001ull, - 0x3ff0000000000000ull, 0, 0x3ff0000000000000ull, - 0x0000000000000001ull, APFloat::rmNearestTiesToEven), - // (1 + epsilon) * (1 + epsilon) = 1 + 2 * epsilon - std::make_tuple(0x3ff0000000000000ull, 0x0000000000000001ull, - 0x3ff0000000000000ull, 0x0000000000000001ull, - 0x3ff0000000000000ull, 0x0000000000000002ull, - APFloat::rmNearestTiesToEven), - // -(1 + epsilon) * (1 + epsilon) = -1 - std::make_tuple(0xbff0000000000000ull, 0x0000000000000001ull, - 0x3ff0000000000000ull, 0x0000000000000001ull, - 0xbff0000000000000ull, 0, APFloat::rmNearestTiesToEven), - // (0.5 + 0) * (1 + 2 * epsilon) = 0.5 + epsilon - std::make_tuple(0x3fe0000000000000ull, 0, 0x3ff0000000000000ull, - 0x0000000000000002ull, 0x3fe0000000000000ull, - 0x0000000000000001ull, APFloat::rmNearestTiesToEven), - // (0.5 + 0) * (1 + epsilon) = 0.5 - std::make_tuple(0x3fe0000000000000ull, 0, 0x3ff0000000000000ull, - 0x0000000000000001ull, 0x3fe0000000000000ull, 0, - APFloat::rmNearestTiesToEven), - // __LDBL_MAX__ * (1 + 1 << 106) = inf - std::make_tuple(0x7fefffffffffffffull, 0x7c8ffffffffffffeull, - 0x3ff0000000000000ull, 0x3950000000000000ull, - 0x7ff0000000000000ull, 0, APFloat::rmNearestTiesToEven), - // __LDBL_MAX__ * (1 + 1 << 107) > __LDBL_MAX__, but not inf, yes =_=||| - std::make_tuple(0x7fefffffffffffffull, 0x7c8ffffffffffffeull, - 0x3ff0000000000000ull, 0x3940000000000000ull, - 0x7fefffffffffffffull, 0x7c8fffffffffffffull, - APFloat::rmNearestTiesToEven), - // __LDBL_MAX__ * (1 + 1 << 108) = __LDBL_MAX__ - std::make_tuple(0x7fefffffffffffffull, 0x7c8ffffffffffffeull, - 0x3ff0000000000000ull, 0x3930000000000000ull, - 0x7fefffffffffffffull, 0x7c8ffffffffffffeull, - APFloat::rmNearestTiesToEven), - }; - - for (auto Tp : Data) { - uint64_t Op1[2], Op2[2], Expected[2]; - APFloat::roundingMode RM; - std::tie(Op1[0], Op1[1], Op2[0], Op2[1], Expected[0], Expected[1], RM) = Tp; - - { - APFloat A1(APFloat::PPCDoubleDouble(), APInt(128, 2, Op1)); - APFloat A2(APFloat::PPCDoubleDouble(), APInt(128, 2, Op2)); - A1.multiply(A2, RM); - - EXPECT_EQ(Expected[0], A1.bitcastToAPInt().getRawData()[0]) - << formatv("({0:x} + {1:x}) * ({2:x} + {3:x})", Op1[0], Op1[1], - Op2[0], Op2[1]) - .str(); - EXPECT_EQ(Expected[1], A1.bitcastToAPInt().getRawData()[1]) - << formatv("({0:x} + {1:x}) * ({2:x} + {3:x})", Op1[0], Op1[1], - Op2[0], Op2[1]) - .str(); - } - { - APFloat A1(APFloat::PPCDoubleDouble(), APInt(128, 2, Op1)); - APFloat A2(APFloat::PPCDoubleDouble(), APInt(128, 2, Op2)); - A2.multiply(A1, RM); - - EXPECT_EQ(Expected[0], A2.bitcastToAPInt().getRawData()[0]) - << formatv("({0:x} + {1:x}) * ({2:x} + {3:x})", Op2[0], Op2[1], - Op1[0], Op1[1]) - .str(); - EXPECT_EQ(Expected[1], A2.bitcastToAPInt().getRawData()[1]) - << formatv("({0:x} + {1:x}) * ({2:x} + {3:x})", Op2[0], Op2[1], - Op1[0], Op1[1]) - .str(); - } - } -} - -TEST(APFloatTest, PPCDoubleDoubleDivide) { - using DataType = std::tuple<uint64_t, uint64_t, uint64_t, uint64_t, uint64_t, - uint64_t, APFloat::roundingMode>; - // TODO: Only a sanity check for now. Add more edge cases when the - // double-double algorithm is implemented. - DataType Data[] = { - // 1 / 3 = 1/3 - std::make_tuple(0x3ff0000000000000ull, 0, 0x4008000000000000ull, 0, - 0x3fd5555555555555ull, 0x3c75555555555556ull, - APFloat::rmNearestTiesToEven), - }; - - for (auto Tp : Data) { - uint64_t Op1[2], Op2[2], Expected[2]; - APFloat::roundingMode RM; - std::tie(Op1[0], Op1[1], Op2[0], Op2[1], Expected[0], Expected[1], RM) = Tp; - - APFloat A1(APFloat::PPCDoubleDouble(), APInt(128, 2, Op1)); - APFloat A2(APFloat::PPCDoubleDouble(), APInt(128, 2, Op2)); - A1.divide(A2, RM); - - EXPECT_EQ(Expected[0], A1.bitcastToAPInt().getRawData()[0]) - << formatv("({0:x} + {1:x}) / ({2:x} + {3:x})", Op1[0], Op1[1], Op2[0], - Op2[1]) - .str(); - EXPECT_EQ(Expected[1], A1.bitcastToAPInt().getRawData()[1]) - << formatv("({0:x} + {1:x}) / ({2:x} + {3:x})", Op1[0], Op1[1], Op2[0], - Op2[1]) - .str(); - } -} - -TEST(APFloatTest, PPCDoubleDoubleRemainder) { - using DataType = - std::tuple<uint64_t, uint64_t, uint64_t, uint64_t, uint64_t, uint64_t>; - DataType Data[] = { - // remainder(3.0 + 3.0 << 53, 1.25 + 1.25 << 53) = (0.5 + 0.5 << 53) - std::make_tuple(0x4008000000000000ull, 0x3cb8000000000000ull, - 0x3ff4000000000000ull, 0x3ca4000000000000ull, - 0x3fe0000000000000ull, 0x3c90000000000000ull), - // remainder(3.0 + 3.0 << 53, 1.75 + 1.75 << 53) = (-0.5 - 0.5 << 53) - std::make_tuple(0x4008000000000000ull, 0x3cb8000000000000ull, - 0x3ffc000000000000ull, 0x3cac000000000000ull, - 0xbfe0000000000000ull, 0xbc90000000000000ull), - }; - - for (auto Tp : Data) { - uint64_t Op1[2], Op2[2], Expected[2]; - std::tie(Op1[0], Op1[1], Op2[0], Op2[1], Expected[0], Expected[1]) = Tp; - - APFloat A1(APFloat::PPCDoubleDouble(), APInt(128, 2, Op1)); - APFloat A2(APFloat::PPCDoubleDouble(), APInt(128, 2, Op2)); - A1.remainder(A2); - - EXPECT_EQ(Expected[0], A1.bitcastToAPInt().getRawData()[0]) - << formatv("remainder({0:x} + {1:x}), ({2:x} + {3:x}))", Op1[0], Op1[1], - Op2[0], Op2[1]) - .str(); - EXPECT_EQ(Expected[1], A1.bitcastToAPInt().getRawData()[1]) - << formatv("remainder(({0:x} + {1:x}), ({2:x} + {3:x}))", Op1[0], - Op1[1], Op2[0], Op2[1]) - .str(); - } -} - -TEST(APFloatTest, PPCDoubleDoubleMod) { - using DataType = - std::tuple<uint64_t, uint64_t, uint64_t, uint64_t, uint64_t, uint64_t>; - DataType Data[] = { - // mod(3.0 + 3.0 << 53, 1.25 + 1.25 << 53) = (0.5 + 0.5 << 53) - std::make_tuple(0x4008000000000000ull, 0x3cb8000000000000ull, - 0x3ff4000000000000ull, 0x3ca4000000000000ull, - 0x3fe0000000000000ull, 0x3c90000000000000ull), - // mod(3.0 + 3.0 << 53, 1.75 + 1.75 << 53) = (1.25 + 1.25 << 53) - // 0xbc98000000000000 doesn't seem right, but it's what we currently have. - // TODO: investigate - std::make_tuple(0x4008000000000000ull, 0x3cb8000000000000ull, - 0x3ffc000000000000ull, 0x3cac000000000000ull, - 0x3ff4000000000001ull, 0xbc98000000000000ull), - }; - - for (auto Tp : Data) { - uint64_t Op1[2], Op2[2], Expected[2]; - std::tie(Op1[0], Op1[1], Op2[0], Op2[1], Expected[0], Expected[1]) = Tp; - - APFloat A1(APFloat::PPCDoubleDouble(), APInt(128, 2, Op1)); - APFloat A2(APFloat::PPCDoubleDouble(), APInt(128, 2, Op2)); - A1.mod(A2); - - EXPECT_EQ(Expected[0], A1.bitcastToAPInt().getRawData()[0]) - << formatv("fmod(({0:x} + {1:x}), ({2:x} + {3:x}))", Op1[0], Op1[1], - Op2[0], Op2[1]) - .str(); - EXPECT_EQ(Expected[1], A1.bitcastToAPInt().getRawData()[1]) - << formatv("fmod(({0:x} + {1:x}), ({2:x} + {3:x}))", Op1[0], Op1[1], - Op2[0], Op2[1]) - .str(); - } -} - -TEST(APFloatTest, PPCDoubleDoubleFMA) { - // Sanity check for now. - APFloat A(APFloat::PPCDoubleDouble(), "2"); - A.fusedMultiplyAdd(APFloat(APFloat::PPCDoubleDouble(), "3"), - APFloat(APFloat::PPCDoubleDouble(), "4"), - APFloat::rmNearestTiesToEven); - EXPECT_EQ(APFloat::cmpEqual, - APFloat(APFloat::PPCDoubleDouble(), "10").compare(A)); -} - -TEST(APFloatTest, PPCDoubleDoubleRoundToIntegral) { - { - APFloat A(APFloat::PPCDoubleDouble(), "1.5"); - A.roundToIntegral(APFloat::rmNearestTiesToEven); - EXPECT_EQ(APFloat::cmpEqual, - APFloat(APFloat::PPCDoubleDouble(), "2").compare(A)); - } - { - APFloat A(APFloat::PPCDoubleDouble(), "2.5"); - A.roundToIntegral(APFloat::rmNearestTiesToEven); - EXPECT_EQ(APFloat::cmpEqual, - APFloat(APFloat::PPCDoubleDouble(), "2").compare(A)); - } -} - -TEST(APFloatTest, PPCDoubleDoubleCompare) { - using DataType = - std::tuple<uint64_t, uint64_t, uint64_t, uint64_t, APFloat::cmpResult>; - - DataType Data[] = { - // (1 + 0) = (1 + 0) - std::make_tuple(0x3ff0000000000000ull, 0, 0x3ff0000000000000ull, 0, - APFloat::cmpEqual), - // (1 + 0) < (1.00...1 + 0) - std::make_tuple(0x3ff0000000000000ull, 0, 0x3ff0000000000001ull, 0, - APFloat::cmpLessThan), - // (1.00...1 + 0) > (1 + 0) - std::make_tuple(0x3ff0000000000001ull, 0, 0x3ff0000000000000ull, 0, - APFloat::cmpGreaterThan), - // (1 + 0) < (1 + epsilon) - std::make_tuple(0x3ff0000000000000ull, 0, 0x3ff0000000000001ull, - 0x0000000000000001ull, APFloat::cmpLessThan), - // NaN != NaN - std::make_tuple(0x7ff8000000000000ull, 0, 0x7ff8000000000000ull, 0, - APFloat::cmpUnordered), - // (1 + 0) != NaN - std::make_tuple(0x3ff0000000000000ull, 0, 0x7ff8000000000000ull, 0, - APFloat::cmpUnordered), - // Inf = Inf - std::make_tuple(0x7ff0000000000000ull, 0, 0x7ff0000000000000ull, 0, - APFloat::cmpEqual), - }; - - for (auto Tp : Data) { - uint64_t Op1[2], Op2[2]; - APFloat::cmpResult Expected; - std::tie(Op1[0], Op1[1], Op2[0], Op2[1], Expected) = Tp; - - APFloat A1(APFloat::PPCDoubleDouble(), APInt(128, 2, Op1)); - APFloat A2(APFloat::PPCDoubleDouble(), APInt(128, 2, Op2)); - EXPECT_EQ(Expected, A1.compare(A2)) - << formatv("compare(({0:x} + {1:x}), ({2:x} + {3:x}))", Op1[0], Op1[1], - Op2[0], Op2[1]) - .str(); - } -} - -TEST(APFloatTest, PPCDoubleDoubleBitwiseIsEqual) { - using DataType = std::tuple<uint64_t, uint64_t, uint64_t, uint64_t, bool>; - - DataType Data[] = { - // (1 + 0) = (1 + 0) - std::make_tuple(0x3ff0000000000000ull, 0, 0x3ff0000000000000ull, 0, true), - // (1 + 0) != (1.00...1 + 0) - std::make_tuple(0x3ff0000000000000ull, 0, 0x3ff0000000000001ull, 0, - false), - // NaN = NaN - std::make_tuple(0x7ff8000000000000ull, 0, 0x7ff8000000000000ull, 0, true), - // NaN != NaN with a different bit pattern - std::make_tuple(0x7ff8000000000000ull, 0, 0x7ff8000000000000ull, - 0x3ff0000000000000ull, false), - // Inf = Inf - std::make_tuple(0x7ff0000000000000ull, 0, 0x7ff0000000000000ull, 0, true), - }; - - for (auto Tp : Data) { - uint64_t Op1[2], Op2[2]; - bool Expected; - std::tie(Op1[0], Op1[1], Op2[0], Op2[1], Expected) = Tp; - - APFloat A1(APFloat::PPCDoubleDouble(), APInt(128, 2, Op1)); - APFloat A2(APFloat::PPCDoubleDouble(), APInt(128, 2, Op2)); - EXPECT_EQ(Expected, A1.bitwiseIsEqual(A2)) - << formatv("({0:x} + {1:x}) = ({2:x} + {3:x})", Op1[0], Op1[1], Op2[0], - Op2[1]) - .str(); - } -} - -TEST(APFloatTest, PPCDoubleDoubleHashValue) { - uint64_t Data1[] = {0x3ff0000000000001ull, 0x0000000000000001ull}; - uint64_t Data2[] = {0x3ff0000000000001ull, 0}; - // The hash values are *hopefully* different. - EXPECT_NE( - hash_value(APFloat(APFloat::PPCDoubleDouble(), APInt(128, 2, Data1))), - hash_value(APFloat(APFloat::PPCDoubleDouble(), APInt(128, 2, Data2)))); -} - -TEST(APFloatTest, PPCDoubleDoubleChangeSign) { - uint64_t Data[] = { - 0x400f000000000000ull, 0xbcb0000000000000ull, - }; - APFloat Float(APFloat::PPCDoubleDouble(), APInt(128, 2, Data)); - { - APFloat Actual = - APFloat::copySign(Float, APFloat(APFloat::IEEEdouble(), "1")); - EXPECT_EQ(0x400f000000000000ull, Actual.bitcastToAPInt().getRawData()[0]); - EXPECT_EQ(0xbcb0000000000000ull, Actual.bitcastToAPInt().getRawData()[1]); - } - { - APFloat Actual = - APFloat::copySign(Float, APFloat(APFloat::IEEEdouble(), "-1")); - EXPECT_EQ(0xc00f000000000000ull, Actual.bitcastToAPInt().getRawData()[0]); - EXPECT_EQ(0x3cb0000000000000ull, Actual.bitcastToAPInt().getRawData()[1]); - } -} - -TEST(APFloatTest, PPCDoubleDoubleFactories) { - { - uint64_t Data[] = { - 0, 0, - }; - EXPECT_EQ(APInt(128, 2, Data), - APFloat::getZero(APFloat::PPCDoubleDouble()).bitcastToAPInt()); - } - { - uint64_t Data[] = { - 0x7fefffffffffffffull, 0x7c8ffffffffffffeull, - }; - EXPECT_EQ(APInt(128, 2, Data), - APFloat::getLargest(APFloat::PPCDoubleDouble()).bitcastToAPInt()); - } - { - uint64_t Data[] = { - 0x0000000000000001ull, 0, - }; - EXPECT_EQ( - APInt(128, 2, Data), - APFloat::getSmallest(APFloat::PPCDoubleDouble()).bitcastToAPInt()); - } - { - uint64_t Data[] = {0x0360000000000000ull, 0}; - EXPECT_EQ(APInt(128, 2, Data), - APFloat::getSmallestNormalized(APFloat::PPCDoubleDouble()) - .bitcastToAPInt()); - } - { - uint64_t Data[] = { - 0x8000000000000000ull, 0x0000000000000000ull, - }; - EXPECT_EQ( - APInt(128, 2, Data), - APFloat::getZero(APFloat::PPCDoubleDouble(), true).bitcastToAPInt()); - } - { - uint64_t Data[] = { - 0xffefffffffffffffull, 0xfc8ffffffffffffeull, - }; - EXPECT_EQ( - APInt(128, 2, Data), - APFloat::getLargest(APFloat::PPCDoubleDouble(), true).bitcastToAPInt()); - } - { - uint64_t Data[] = { - 0x8000000000000001ull, 0x0000000000000000ull, - }; - EXPECT_EQ(APInt(128, 2, Data), - APFloat::getSmallest(APFloat::PPCDoubleDouble(), true) - .bitcastToAPInt()); - } - { - uint64_t Data[] = { - 0x8360000000000000ull, 0x0000000000000000ull, - }; - EXPECT_EQ(APInt(128, 2, Data), - APFloat::getSmallestNormalized(APFloat::PPCDoubleDouble(), true) - .bitcastToAPInt()); - } - EXPECT_TRUE(APFloat::getSmallest(APFloat::PPCDoubleDouble()).isSmallest()); - EXPECT_TRUE(APFloat::getLargest(APFloat::PPCDoubleDouble()).isLargest()); -} - -TEST(APFloatTest, PPCDoubleDoubleIsDenormal) { - EXPECT_TRUE(APFloat::getSmallest(APFloat::PPCDoubleDouble()).isDenormal()); - EXPECT_FALSE(APFloat::getLargest(APFloat::PPCDoubleDouble()).isDenormal()); - EXPECT_FALSE( - APFloat::getSmallestNormalized(APFloat::PPCDoubleDouble()).isDenormal()); - { - // (4 + 3) is not normalized - uint64_t Data[] = { - 0x4010000000000000ull, 0x4008000000000000ull, - }; - EXPECT_TRUE( - APFloat(APFloat::PPCDoubleDouble(), APInt(128, 2, Data)).isDenormal()); - } -} - -TEST(APFloatTest, PPCDoubleDoubleScalbn) { - // 3.0 + 3.0 << 53 - uint64_t Input[] = { - 0x4008000000000000ull, 0x3cb8000000000000ull, - }; - APFloat Result = - scalbn(APFloat(APFloat::PPCDoubleDouble(), APInt(128, 2, Input)), 1, - APFloat::rmNearestTiesToEven); - // 6.0 + 6.0 << 53 - EXPECT_EQ(0x4018000000000000ull, Result.bitcastToAPInt().getRawData()[0]); - EXPECT_EQ(0x3cc8000000000000ull, Result.bitcastToAPInt().getRawData()[1]); -} - -TEST(APFloatTest, PPCDoubleDoubleFrexp) { - // 3.0 + 3.0 << 53 - uint64_t Input[] = { - 0x4008000000000000ull, 0x3cb8000000000000ull, - }; - int Exp; - // 0.75 + 0.75 << 53 - APFloat Result = - frexp(APFloat(APFloat::PPCDoubleDouble(), APInt(128, 2, Input)), Exp, - APFloat::rmNearestTiesToEven); - EXPECT_EQ(2, Exp); - EXPECT_EQ(0x3fe8000000000000ull, Result.bitcastToAPInt().getRawData()[0]); - EXPECT_EQ(0x3c98000000000000ull, Result.bitcastToAPInt().getRawData()[1]); -} -} |
