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llvm-6502/unittests/ADT/APFloatTest.cpp
Michael Gottesman b30718af1a IEEE-754R 5.7.2 General Operations is* operations (except for isCanonical). 
Specifically the following work was done:

1. If the operation was not implemented, I implemented it.

2. If the operation was already implemented, I just moved its location
in the APFloat header into the IEEE-754R 5.7.2 section. If the name was
incorrect, I put in a comment giving the true IEEE-754R name.

Also unittests have been added for all of the functions which did not
already have a unittest.

git-svn-id: https://llvm.org/svn/llvm-project/llvm/trunk@183179 91177308-0d34-0410-b5e6-96231b3b80d8
2013-06-04 03:46:25 +00:00

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//===- llvm/unittest/ADT/APFloat.cpp - APFloat unit tests ---------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
#include "llvm/ADT/APFloat.h"
#include "llvm/ADT/APSInt.h"
#include "llvm/ADT/SmallString.h"
#include "llvm/ADT/SmallVector.h"
#include "llvm/Support/raw_ostream.h"
#include "gtest/gtest.h"
#include <ostream>
#include <string>
using namespace llvm;
static double convertToDoubleFromString(const char *Str) {
llvm::APFloat F(0.0);
F.convertFromString(Str, llvm::APFloat::rmNearestTiesToEven);
return F.convertToDouble();
}
static std::string convertToString(double d, unsigned Prec, unsigned Pad) {
llvm::SmallVector<char, 100> Buffer;
llvm::APFloat F(d);
F.toString(Buffer, Prec, Pad);
return std::string(Buffer.data(), Buffer.size());
}
namespace {
TEST(APFloatTest, isSignaling) {
// We test qNaN, -qNaN, +sNaN, -sNaN with and without payloads. *NOTE* The
// positive/negative distinction is included only since the getQNaN/getSNaN
// API provides the option.
APInt payload = APInt::getOneBitSet(4, 2);
EXPECT_FALSE(APFloat::getQNaN(APFloat::IEEEsingle, false).isSignaling());
EXPECT_FALSE(APFloat::getQNaN(APFloat::IEEEsingle, true).isSignaling());
EXPECT_FALSE(APFloat::getQNaN(APFloat::IEEEsingle, false, &payload).isSignaling());
EXPECT_FALSE(APFloat::getQNaN(APFloat::IEEEsingle, true, &payload).isSignaling());
EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, false).isSignaling());
EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, true).isSignaling());
EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, false, &payload).isSignaling());
EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, true, &payload).isSignaling());
}
TEST(APFloatTest, next) {
APFloat test(APFloat::IEEEquad, APFloat::uninitialized);
APFloat expected(APFloat::IEEEquad, APFloat::uninitialized);
// 1. Test Special Cases Values.
//
// Test all special values for nextUp and nextDown perscribed by IEEE-754R
// 2008. These are:
// 1. +inf
// 2. -inf
// 3. getLargest()
// 4. -getLargest()
// 5. getSmallest()
// 6. -getSmallest()
// 7. qNaN
// 8. sNaN
// 9. +0
// 10. -0
// nextUp(+inf) = +inf.
test = APFloat::getInf(APFloat::IEEEquad, false);
expected = APFloat::getInf(APFloat::IEEEquad, false);
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(test.isInfinity());
EXPECT_TRUE(!test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(+inf) = -nextUp(-inf) = -(-getLargest()) = getLargest()
test = APFloat::getInf(APFloat::IEEEquad, false);
expected = APFloat::getLargest(APFloat::IEEEquad, false);
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(!test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextUp(-inf) = -getLargest()
test = APFloat::getInf(APFloat::IEEEquad, true);
expected = APFloat::getLargest(APFloat::IEEEquad, true);
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(-inf) = -nextUp(+inf) = -(+inf) = -inf.
test = APFloat::getInf(APFloat::IEEEquad, true);
expected = APFloat::getInf(APFloat::IEEEquad, true);
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(test.isInfinity() && test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextUp(getLargest()) = +inf
test = APFloat::getLargest(APFloat::IEEEquad, false);
expected = APFloat::getInf(APFloat::IEEEquad, false);
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(test.isInfinity() && !test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(getLargest()) = -nextUp(-getLargest())
// = -(-getLargest() + inc)
// = getLargest() - inc.
test = APFloat::getLargest(APFloat::IEEEquad, false);
expected = APFloat(APFloat::IEEEquad,
"0x1.fffffffffffffffffffffffffffep+16383");
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(!test.isInfinity() && !test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextUp(-getLargest()) = -getLargest() + inc.
test = APFloat::getLargest(APFloat::IEEEquad, true);
expected = APFloat(APFloat::IEEEquad,
"-0x1.fffffffffffffffffffffffffffep+16383");
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(-getLargest()) = -nextUp(getLargest()) = -(inf) = -inf.
test = APFloat::getLargest(APFloat::IEEEquad, true);
expected = APFloat::getInf(APFloat::IEEEquad, true);
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(test.isInfinity() && test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextUp(getSmallest()) = getSmallest() + inc.
test = APFloat(APFloat::IEEEquad, "0x0.0000000000000000000000000001p-16382");
expected = APFloat(APFloat::IEEEquad,
"0x0.0000000000000000000000000002p-16382");
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(getSmallest()) = -nextUp(-getSmallest()) = -(-0) = +0.
test = APFloat(APFloat::IEEEquad, "0x0.0000000000000000000000000001p-16382");
expected = APFloat::getZero(APFloat::IEEEquad, false);
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(test.isZero() && !test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextUp(-getSmallest()) = -0.
test = APFloat(APFloat::IEEEquad, "-0x0.0000000000000000000000000001p-16382");
expected = APFloat::getZero(APFloat::IEEEquad, true);
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(test.isZero() && test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(-getSmallest()) = -nextUp(getSmallest()) = -getSmallest() - inc.
test = APFloat(APFloat::IEEEquad, "-0x0.0000000000000000000000000001p-16382");
expected = APFloat(APFloat::IEEEquad,
"-0x0.0000000000000000000000000002p-16382");
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextUp(qNaN) = qNaN
test = APFloat::getQNaN(APFloat::IEEEquad, false);
expected = APFloat::getQNaN(APFloat::IEEEquad, false);
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(qNaN) = qNaN
test = APFloat::getQNaN(APFloat::IEEEquad, false);
expected = APFloat::getQNaN(APFloat::IEEEquad, false);
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextUp(sNaN) = qNaN
test = APFloat::getSNaN(APFloat::IEEEquad, false);
expected = APFloat::getQNaN(APFloat::IEEEquad, false);
EXPECT_EQ(test.next(false), APFloat::opInvalidOp);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(sNaN) = qNaN
test = APFloat::getSNaN(APFloat::IEEEquad, false);
expected = APFloat::getQNaN(APFloat::IEEEquad, false);
EXPECT_EQ(test.next(true), APFloat::opInvalidOp);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextUp(+0) = +getSmallest()
test = APFloat::getZero(APFloat::IEEEquad, false);
expected = APFloat::getSmallest(APFloat::IEEEquad, false);
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(+0) = -nextUp(-0) = -getSmallest()
test = APFloat::getZero(APFloat::IEEEquad, false);
expected = APFloat::getSmallest(APFloat::IEEEquad, true);
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextUp(-0) = +getSmallest()
test = APFloat::getZero(APFloat::IEEEquad, true);
expected = APFloat::getSmallest(APFloat::IEEEquad, false);
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(-0) = -nextUp(0) = -getSmallest()
test = APFloat::getZero(APFloat::IEEEquad, true);
expected = APFloat::getSmallest(APFloat::IEEEquad, true);
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// 2. Binade Boundary Tests.
// 2a. Test denormal <-> normal binade boundaries.
// * nextUp(+Largest Denormal) -> +Smallest Normal.
// * nextDown(-Largest Denormal) -> -Smallest Normal.
// * nextUp(-Smallest Normal) -> -Largest Denormal.
// * nextDown(+Smallest Normal) -> +Largest Denormal.
// nextUp(+Largest Denormal) -> +Smallest Normal.
test = APFloat(APFloat::IEEEquad, "0x0.ffffffffffffffffffffffffffffp-16382");
expected = APFloat(APFloat::IEEEquad,
"0x1.0000000000000000000000000000p-16382");
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_FALSE(test.isDenormal());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(-Largest Denormal) -> -Smallest Normal.
test = APFloat(APFloat::IEEEquad,
"-0x0.ffffffffffffffffffffffffffffp-16382");
expected = APFloat(APFloat::IEEEquad,
"-0x1.0000000000000000000000000000p-16382");
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_FALSE(test.isDenormal());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextUp(-Smallest Normal) -> -LargestDenormal.
test = APFloat(APFloat::IEEEquad,
"-0x1.0000000000000000000000000000p-16382");
expected = APFloat(APFloat::IEEEquad,
"-0x0.ffffffffffffffffffffffffffffp-16382");
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(test.isDenormal());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(+Smallest Normal) -> +Largest Denormal.
test = APFloat(APFloat::IEEEquad,
"+0x1.0000000000000000000000000000p-16382");
expected = APFloat(APFloat::IEEEquad,
"+0x0.ffffffffffffffffffffffffffffp-16382");
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(test.isDenormal());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// 2b. Test normal <-> normal binade boundaries.
// * nextUp(-Normal Binade Boundary) -> -Normal Binade Boundary + 1.
// * nextDown(+Normal Binade Boundary) -> +Normal Binade Boundary - 1.
// * nextUp(+Normal Binade Boundary - 1) -> +Normal Binade Boundary.
// * nextDown(-Normal Binade Boundary + 1) -> -Normal Binade Boundary.
// nextUp(-Normal Binade Boundary) -> -Normal Binade Boundary + 1.
test = APFloat(APFloat::IEEEquad, "-0x1p+1");
expected = APFloat(APFloat::IEEEquad,
"-0x1.ffffffffffffffffffffffffffffp+0");
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(+Normal Binade Boundary) -> +Normal Binade Boundary - 1.
test = APFloat(APFloat::IEEEquad, "0x1p+1");
expected = APFloat(APFloat::IEEEquad, "0x1.ffffffffffffffffffffffffffffp+0");
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextUp(+Normal Binade Boundary - 1) -> +Normal Binade Boundary.
test = APFloat(APFloat::IEEEquad, "0x1.ffffffffffffffffffffffffffffp+0");
expected = APFloat(APFloat::IEEEquad, "0x1p+1");
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(-Normal Binade Boundary + 1) -> -Normal Binade Boundary.
test = APFloat(APFloat::IEEEquad, "-0x1.ffffffffffffffffffffffffffffp+0");
expected = APFloat(APFloat::IEEEquad, "-0x1p+1");
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// 2c. Test using next at binade boundaries with a direction away from the
// binade boundary. Away from denormal <-> normal boundaries.
//
// This is to make sure that even though we are at a binade boundary, since
// we are rounding away, we do not trigger the binade boundary code. Thus we
// test:
// * nextUp(-Largest Denormal) -> -Largest Denormal + inc.
// * nextDown(+Largest Denormal) -> +Largest Denormal - inc.
// * nextUp(+Smallest Normal) -> +Smallest Normal + inc.
// * nextDown(-Smallest Normal) -> -Smallest Normal - inc.
// nextUp(-Largest Denormal) -> -Largest Denormal + inc.
test = APFloat(APFloat::IEEEquad, "-0x0.ffffffffffffffffffffffffffffp-16382");
expected = APFloat(APFloat::IEEEquad,
"-0x0.fffffffffffffffffffffffffffep-16382");
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(test.isDenormal());
EXPECT_TRUE(test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(+Largest Denormal) -> +Largest Denormal - inc.
test = APFloat(APFloat::IEEEquad, "0x0.ffffffffffffffffffffffffffffp-16382");
expected = APFloat(APFloat::IEEEquad,
"0x0.fffffffffffffffffffffffffffep-16382");
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(test.isDenormal());
EXPECT_TRUE(!test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextUp(+Smallest Normal) -> +Smallest Normal + inc.
test = APFloat(APFloat::IEEEquad, "0x1.0000000000000000000000000000p-16382");
expected = APFloat(APFloat::IEEEquad,
"0x1.0000000000000000000000000001p-16382");
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(!test.isDenormal());
EXPECT_TRUE(!test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(-Smallest Normal) -> -Smallest Normal - inc.
test = APFloat(APFloat::IEEEquad, "-0x1.0000000000000000000000000000p-16382");
expected = APFloat(APFloat::IEEEquad,
"-0x1.0000000000000000000000000001p-16382");
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(!test.isDenormal());
EXPECT_TRUE(test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// 2d. Test values which cause our exponent to go to min exponent. This
// is to ensure that guards in the code to check for min exponent
// trigger properly.
// * nextUp(-0x1p-16381) -> -0x1.ffffffffffffffffffffffffffffp-16382
// * nextDown(-0x1.ffffffffffffffffffffffffffffp-16382) ->
// -0x1p-16381
// * nextUp(0x1.ffffffffffffffffffffffffffffp-16382) -> 0x1p-16382
// * nextDown(0x1p-16382) -> 0x1.ffffffffffffffffffffffffffffp-16382
// nextUp(-0x1p-16381) -> -0x1.ffffffffffffffffffffffffffffp-16382
test = APFloat(APFloat::IEEEquad, "-0x1p-16381");
expected = APFloat(APFloat::IEEEquad,
"-0x1.ffffffffffffffffffffffffffffp-16382");
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(-0x1.ffffffffffffffffffffffffffffp-16382) ->
// -0x1p-16381
test = APFloat(APFloat::IEEEquad, "-0x1.ffffffffffffffffffffffffffffp-16382");
expected = APFloat(APFloat::IEEEquad, "-0x1p-16381");
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextUp(0x1.ffffffffffffffffffffffffffffp-16382) -> 0x1p-16381
test = APFloat(APFloat::IEEEquad, "0x1.ffffffffffffffffffffffffffffp-16382");
expected = APFloat(APFloat::IEEEquad, "0x1p-16381");
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(0x1p-16381) -> 0x1.ffffffffffffffffffffffffffffp-16382
test = APFloat(APFloat::IEEEquad, "0x1p-16381");
expected = APFloat(APFloat::IEEEquad,
"0x1.ffffffffffffffffffffffffffffp-16382");
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// 3. Now we test both denormal/normal computation which will not cause us
// to go across binade boundaries. Specifically we test:
// * nextUp(+Denormal) -> +Denormal.
// * nextDown(+Denormal) -> +Denormal.
// * nextUp(-Denormal) -> -Denormal.
// * nextDown(-Denormal) -> -Denormal.
// * nextUp(+Normal) -> +Normal.
// * nextDown(+Normal) -> +Normal.
// * nextUp(-Normal) -> -Normal.
// * nextDown(-Normal) -> -Normal.
// nextUp(+Denormal) -> +Denormal.
test = APFloat(APFloat::IEEEquad,
"0x0.ffffffffffffffffffffffff000cp-16382");
expected = APFloat(APFloat::IEEEquad,
"0x0.ffffffffffffffffffffffff000dp-16382");
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(test.isDenormal());
EXPECT_TRUE(!test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(+Denormal) -> +Denormal.
test = APFloat(APFloat::IEEEquad,
"0x0.ffffffffffffffffffffffff000cp-16382");
expected = APFloat(APFloat::IEEEquad,
"0x0.ffffffffffffffffffffffff000bp-16382");
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(test.isDenormal());
EXPECT_TRUE(!test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextUp(-Denormal) -> -Denormal.
test = APFloat(APFloat::IEEEquad,
"-0x0.ffffffffffffffffffffffff000cp-16382");
expected = APFloat(APFloat::IEEEquad,
"-0x0.ffffffffffffffffffffffff000bp-16382");
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(test.isDenormal());
EXPECT_TRUE(test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(-Denormal) -> -Denormal
test = APFloat(APFloat::IEEEquad,
"-0x0.ffffffffffffffffffffffff000cp-16382");
expected = APFloat(APFloat::IEEEquad,
"-0x0.ffffffffffffffffffffffff000dp-16382");
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(test.isDenormal());
EXPECT_TRUE(test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextUp(+Normal) -> +Normal.
test = APFloat(APFloat::IEEEquad,
"0x1.ffffffffffffffffffffffff000cp-16000");
expected = APFloat(APFloat::IEEEquad,
"0x1.ffffffffffffffffffffffff000dp-16000");
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(!test.isDenormal());
EXPECT_TRUE(!test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(+Normal) -> +Normal.
test = APFloat(APFloat::IEEEquad,
"0x1.ffffffffffffffffffffffff000cp-16000");
expected = APFloat(APFloat::IEEEquad,
"0x1.ffffffffffffffffffffffff000bp-16000");
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(!test.isDenormal());
EXPECT_TRUE(!test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextUp(-Normal) -> -Normal.
test = APFloat(APFloat::IEEEquad,
"-0x1.ffffffffffffffffffffffff000cp-16000");
expected = APFloat(APFloat::IEEEquad,
"-0x1.ffffffffffffffffffffffff000bp-16000");
EXPECT_EQ(test.next(false), APFloat::opOK);
EXPECT_TRUE(!test.isDenormal());
EXPECT_TRUE(test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
// nextDown(-Normal) -> -Normal.
test = APFloat(APFloat::IEEEquad,
"-0x1.ffffffffffffffffffffffff000cp-16000");
expected = APFloat(APFloat::IEEEquad,
"-0x1.ffffffffffffffffffffffff000dp-16000");
EXPECT_EQ(test.next(true), APFloat::opOK);
EXPECT_TRUE(!test.isDenormal());
EXPECT_TRUE(test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
}
TEST(APFloatTest, FMA) {
APFloat::roundingMode rdmd = APFloat::rmNearestTiesToEven;
{
APFloat f1(14.5f);
APFloat f2(-14.5f);
APFloat f3(225.0f);
f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven);
EXPECT_EQ(14.75f, f1.convertToFloat());
}
{
APFloat Val2(2.0f);
APFloat f1((float)1.17549435e-38F);
APFloat f2((float)1.17549435e-38F);
f1.divide(Val2, rdmd);
f2.divide(Val2, rdmd);
APFloat f3(12.0f);
f1.fusedMultiplyAdd(f2, f3, APFloat::rmNearestTiesToEven);
EXPECT_EQ(12.0f, f1.convertToFloat());
}
}
TEST(APFloatTest, Denormal) {
APFloat::roundingMode rdmd = APFloat::rmNearestTiesToEven;
// Test single precision
{
const char *MinNormalStr = "1.17549435082228750797e-38";
EXPECT_FALSE(APFloat(APFloat::IEEEsingle, MinNormalStr).isDenormal());
EXPECT_FALSE(APFloat(APFloat::IEEEsingle, 0.0).isDenormal());
APFloat Val2(APFloat::IEEEsingle, 2.0e0);
APFloat T(APFloat::IEEEsingle, MinNormalStr);
T.divide(Val2, rdmd);
EXPECT_TRUE(T.isDenormal());
}
// Test double precision
{
const char *MinNormalStr = "2.22507385850720138309e-308";
EXPECT_FALSE(APFloat(APFloat::IEEEdouble, MinNormalStr).isDenormal());
EXPECT_FALSE(APFloat(APFloat::IEEEdouble, 0.0).isDenormal());
APFloat Val2(APFloat::IEEEdouble, 2.0e0);
APFloat T(APFloat::IEEEdouble, MinNormalStr);
T.divide(Val2, rdmd);
EXPECT_TRUE(T.isDenormal());
}
// Test Intel double-ext
{
const char *MinNormalStr = "3.36210314311209350626e-4932";
EXPECT_FALSE(APFloat(APFloat::x87DoubleExtended, MinNormalStr).isDenormal());
EXPECT_FALSE(APFloat(APFloat::x87DoubleExtended, 0.0).isDenormal());
APFloat Val2(APFloat::x87DoubleExtended, 2.0e0);
APFloat T(APFloat::x87DoubleExtended, MinNormalStr);
T.divide(Val2, rdmd);
EXPECT_TRUE(T.isDenormal());
}
// Test quadruple precision
{
const char *MinNormalStr = "3.36210314311209350626267781732175260e-4932";
EXPECT_FALSE(APFloat(APFloat::IEEEquad, MinNormalStr).isDenormal());
EXPECT_FALSE(APFloat(APFloat::IEEEquad, 0.0).isDenormal());
APFloat Val2(APFloat::IEEEquad, 2.0e0);
APFloat T(APFloat::IEEEquad, MinNormalStr);
T.divide(Val2, rdmd);
EXPECT_TRUE(T.isDenormal());
}
}
TEST(APFloatTest, Zero) {
EXPECT_EQ(0.0f, APFloat(0.0f).convertToFloat());
EXPECT_EQ(-0.0f, APFloat(-0.0f).convertToFloat());
EXPECT_TRUE(APFloat(-0.0f).isNegative());
EXPECT_EQ(0.0, APFloat(0.0).convertToDouble());
EXPECT_EQ(-0.0, APFloat(-0.0).convertToDouble());
EXPECT_TRUE(APFloat(-0.0).isNegative());
}
TEST(APFloatTest, fromZeroDecimalString) {
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "00000.").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+00000.").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-00000.").convertToDouble());
EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, ".00000").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.00000").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.00000").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0000.00000").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0000.00000").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0000.00000").convertToDouble());
}
TEST(APFloatTest, fromZeroDecimalSingleExponentString) {
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e+1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e+1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e+1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e-1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e-1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e-1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.e1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.e+1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e+1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e+1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.e-1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.e-1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.e-1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0e1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0e+1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e+1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e+1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, ".0e-1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+.0e-1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-.0e-1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0e1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0e+1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e+1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e+1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0.0e-1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0.0e-1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0.0e-1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "000.0000e1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+000.0000e+1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-000.0000e+1").convertToDouble());
}
TEST(APFloatTest, fromZeroDecimalLargeExponentString) {
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e1234").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e1234").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e1234").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e+1234").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e+1234").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e+1234").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0e-1234").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0e-1234").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0e-1234").convertToDouble());
EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, "000.0000e1234").convertToDouble());
EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, "000.0000e-1234").convertToDouble());
EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, StringRef("0e1234\02", 6)).convertToDouble());
}
TEST(APFloatTest, fromZeroHexadecimalString) {
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p+1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p+1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p+1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p-1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p-1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p-1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p+1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p+1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p+1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p-1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p-1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p-1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.0p1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.0p+1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p+1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p+1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.0p-1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p-1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p-1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.0p1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.0p+1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p+1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p+1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.0p-1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p-1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p-1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x00000.p1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0000.00000p1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.00000p1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p1234").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p1234").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x00000.p1234").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0000.00000p1234").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.00000p1234").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1234").convertToDouble());
}
TEST(APFloatTest, fromDecimalString) {
EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "1").convertToDouble());
EXPECT_EQ(2.0, APFloat(APFloat::IEEEdouble, "2.").convertToDouble());
EXPECT_EQ(0.5, APFloat(APFloat::IEEEdouble, ".5").convertToDouble());
EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "1.0").convertToDouble());
EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-2").convertToDouble());
EXPECT_EQ(-4.0, APFloat(APFloat::IEEEdouble, "-4.").convertToDouble());
EXPECT_EQ(-0.5, APFloat(APFloat::IEEEdouble, "-.5").convertToDouble());
EXPECT_EQ(-1.5, APFloat(APFloat::IEEEdouble, "-1.5").convertToDouble());
EXPECT_EQ(1.25e12, APFloat(APFloat::IEEEdouble, "1.25e12").convertToDouble());
EXPECT_EQ(1.25e+12, APFloat(APFloat::IEEEdouble, "1.25e+12").convertToDouble());
EXPECT_EQ(1.25e-12, APFloat(APFloat::IEEEdouble, "1.25e-12").convertToDouble());
EXPECT_EQ(1024.0, APFloat(APFloat::IEEEdouble, "1024.").convertToDouble());
EXPECT_EQ(1024.05, APFloat(APFloat::IEEEdouble, "1024.05000").convertToDouble());
EXPECT_EQ(0.05, APFloat(APFloat::IEEEdouble, ".05000").convertToDouble());
EXPECT_EQ(2.0, APFloat(APFloat::IEEEdouble, "2.").convertToDouble());
EXPECT_EQ(2.0e2, APFloat(APFloat::IEEEdouble, "2.e2").convertToDouble());
EXPECT_EQ(2.0e+2, APFloat(APFloat::IEEEdouble, "2.e+2").convertToDouble());
EXPECT_EQ(2.0e-2, APFloat(APFloat::IEEEdouble, "2.e-2").convertToDouble());
EXPECT_EQ(2.05e2, APFloat(APFloat::IEEEdouble, "002.05000e2").convertToDouble());
EXPECT_EQ(2.05e+2, APFloat(APFloat::IEEEdouble, "002.05000e+2").convertToDouble());
EXPECT_EQ(2.05e-2, APFloat(APFloat::IEEEdouble, "002.05000e-2").convertToDouble());
EXPECT_EQ(2.05e12, APFloat(APFloat::IEEEdouble, "002.05000e12").convertToDouble());
EXPECT_EQ(2.05e+12, APFloat(APFloat::IEEEdouble, "002.05000e+12").convertToDouble());
EXPECT_EQ(2.05e-12, APFloat(APFloat::IEEEdouble, "002.05000e-12").convertToDouble());
// These are "carefully selected" to overflow the fast log-base
// calculations in APFloat.cpp
EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "99e99999").isInfinity());
EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "-99e99999").isInfinity());
EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "1e-99999").isPosZero());
EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "-1e-99999").isNegZero());
}
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(2.71828, convertToDoubleFromString("2.71828"));
}
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("0.7853981633974483", convertToString(0.78539816339744830961, 0, 3));
ASSERT_EQ("4.940656458412465E-324", convertToString(4.9406564584124654e-324, 0, 3));
ASSERT_EQ("873.1834", convertToString(873.1834, 0, 1));
ASSERT_EQ("8.731834E+2", convertToString(873.1834, 0, 0));
}
TEST(APFloatTest, toInteger) {
bool isExact = false;
APSInt result(5, /*isUnsigned=*/true);
EXPECT_EQ(APFloat::opOK,
APFloat(APFloat::IEEEdouble, "10")
.convertToInteger(result, APFloat::rmTowardZero, &isExact));
EXPECT_TRUE(isExact);
EXPECT_EQ(APSInt(APInt(5, 10), true), result);
EXPECT_EQ(APFloat::opInvalidOp,
APFloat(APFloat::IEEEdouble, "-10")
.convertToInteger(result, APFloat::rmTowardZero, &isExact));
EXPECT_FALSE(isExact);
EXPECT_EQ(APSInt::getMinValue(5, true), result);
EXPECT_EQ(APFloat::opInvalidOp,
APFloat(APFloat::IEEEdouble, "32")
.convertToInteger(result, APFloat::rmTowardZero, &isExact));
EXPECT_FALSE(isExact);
EXPECT_EQ(APSInt::getMaxValue(5, true), result);
EXPECT_EQ(APFloat::opInexact,
APFloat(APFloat::IEEEdouble, "7.9")
.convertToInteger(result, APFloat::rmTowardZero, &isExact));
EXPECT_FALSE(isExact);
EXPECT_EQ(APSInt(APInt(5, 7), true), result);
result.setIsUnsigned(false);
EXPECT_EQ(APFloat::opOK,
APFloat(APFloat::IEEEdouble, "-10")
.convertToInteger(result, APFloat::rmTowardZero, &isExact));
EXPECT_TRUE(isExact);
EXPECT_EQ(APSInt(APInt(5, -10, true), false), result);
EXPECT_EQ(APFloat::opInvalidOp,
APFloat(APFloat::IEEEdouble, "-17")
.convertToInteger(result, APFloat::rmTowardZero, &isExact));
EXPECT_FALSE(isExact);
EXPECT_EQ(APSInt::getMinValue(5, false), result);
EXPECT_EQ(APFloat::opInvalidOp,
APFloat(APFloat::IEEEdouble, "16")
.convertToInteger(result, APFloat::rmTowardZero, &isExact));
EXPECT_FALSE(isExact);
EXPECT_EQ(APSInt::getMaxValue(5, false), result);
}
static APInt nanbits(const fltSemantics &Sem,
bool SNaN, bool Negative, uint64_t fill) {
APInt apfill(64, fill);
if (SNaN)
return APFloat::getSNaN(Sem, Negative, &apfill).bitcastToAPInt();
else
return APFloat::getQNaN(Sem, Negative, &apfill).bitcastToAPInt();
}
TEST(APFloatTest, makeNaN) {
ASSERT_EQ(0x7fc00000, nanbits(APFloat::IEEEsingle, false, false, 0));
ASSERT_EQ(0xffc00000, nanbits(APFloat::IEEEsingle, false, true, 0));
ASSERT_EQ(0x7fc0ae72, nanbits(APFloat::IEEEsingle, false, false, 0xae72));
ASSERT_EQ(0x7fffae72, nanbits(APFloat::IEEEsingle, false, false, 0xffffae72));
ASSERT_EQ(0x7fa00000, nanbits(APFloat::IEEEsingle, true, false, 0));
ASSERT_EQ(0xffa00000, nanbits(APFloat::IEEEsingle, true, true, 0));
ASSERT_EQ(0x7f80ae72, nanbits(APFloat::IEEEsingle, true, false, 0xae72));
ASSERT_EQ(0x7fbfae72, nanbits(APFloat::IEEEsingle, true, false, 0xffffae72));
ASSERT_EQ(0x7ff8000000000000ULL, nanbits(APFloat::IEEEdouble, false, false, 0));
ASSERT_EQ(0xfff8000000000000ULL, nanbits(APFloat::IEEEdouble, false, true, 0));
ASSERT_EQ(0x7ff800000000ae72ULL, nanbits(APFloat::IEEEdouble, false, false, 0xae72));
ASSERT_EQ(0x7fffffffffffae72ULL, nanbits(APFloat::IEEEdouble, false, false, 0xffffffffffffae72ULL));
ASSERT_EQ(0x7ff4000000000000ULL, nanbits(APFloat::IEEEdouble, true, false, 0));
ASSERT_EQ(0xfff4000000000000ULL, nanbits(APFloat::IEEEdouble, true, true, 0));
ASSERT_EQ(0x7ff000000000ae72ULL, nanbits(APFloat::IEEEdouble, true, false, 0xae72));
ASSERT_EQ(0x7ff7ffffffffae72ULL, nanbits(APFloat::IEEEdouble, true, false, 0xffffffffffffae72ULL));
}
#ifdef GTEST_HAS_DEATH_TEST
#ifndef NDEBUG
TEST(APFloatTest, SemanticsDeath) {
EXPECT_DEATH(APFloat(APFloat::IEEEsingle, 0.0f).convertToDouble(), "Float semantics are not IEEEdouble");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, 0.0 ).convertToFloat(), "Float semantics are not IEEEsingle");
}
TEST(APFloatTest, StringDecimalDeath) {
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ""), "Invalid string length");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+"), "String has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-"), "String has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("\0", 1)), "Invalid character in significand");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\0", 2)), "Invalid character in significand");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\02", 3)), "Invalid character in significand");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1\02e1", 5)), "Invalid character in significand");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e\0", 3)), "Invalid character in exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e1\0", 4)), "Invalid character in exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("1e1\02", 5)), "Invalid character in exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0f"), "Invalid character in significand");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".."), "String contains multiple dots");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "..0"), "String contains multiple dots");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0.0"), "String contains multiple dots");
}
TEST(APFloatTest, StringDecimalSignificandDeath) {
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "."), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+."), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-."), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "e"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+e"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-e"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "e1"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+e1"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-e1"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".e1"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.e1"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.e1"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".e"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.e"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.e"), "Significand has no digits");
}
TEST(APFloatTest, StringDecimalExponentDeath) {
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+1e"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-1e"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.e"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+1.e"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-1.e"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+.1e"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-.1e"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.1e"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+1.1e"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-1.1e"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e+"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1e-"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e+"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, ".1e-"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e+"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "1.0e-"), "Exponent has no digits");
}
TEST(APFloatTest, StringHexadecimalDeath) {
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x"), "Invalid string");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x"), "Invalid string");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x"), "Invalid string");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x0"), "Hex strings require an exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0"), "Hex strings require an exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0"), "Hex strings require an exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x0."), "Hex strings require an exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0."), "Hex strings require an exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0."), "Hex strings require an exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.0"), "Hex strings require an exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.0"), "Hex strings require an exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.0"), "Hex strings require an exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x0.0"), "Hex strings require an exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x0.0"), "Hex strings require an exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x0.0"), "Hex strings require an exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x\0", 3)), "Invalid character in significand");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\0", 4)), "Invalid character in significand");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\02", 5)), "Invalid character in significand");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1\02p1", 7)), "Invalid character in significand");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p\0", 5)), "Invalid character in exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p1\0", 6)), "Invalid character in exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, StringRef("0x1p1\02", 7)), "Invalid character in exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p0f"), "Invalid character in exponent");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x..p1"), "String contains multiple dots");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x..0p1"), "String contains multiple dots");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.0.0p1"), "String contains multiple dots");
}
TEST(APFloatTest, StringHexadecimalSignificandDeath) {
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x."), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x."), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x."), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0xp"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0xp+"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp+"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp+"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0xp-"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0xp-"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0xp-"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.p"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.p+"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p+"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p+"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.p-"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.p-"), "Significand has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.p-"), "Significand has no digits");
}
TEST(APFloatTest, StringHexadecimalExponentDeath) {
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p+"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p+"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p+"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1p-"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1p-"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1p-"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.p"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.p+"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p+"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p+"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.p-"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.p-"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.p-"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.1p"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.1p+"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p+"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p+"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x.1p-"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x.1p-"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x.1p-"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.1p"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.1p+"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p+"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p+"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "0x1.1p-"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "+0x1.1p-"), "Exponent has no digits");
EXPECT_DEATH(APFloat(APFloat::IEEEdouble, "-0x1.1p-"), "Exponent has no digits");
}
#endif
#endif
TEST(APFloatTest, exactInverse) {
APFloat inv(0.0f);
// Trivial operation.
EXPECT_TRUE(APFloat(2.0).getExactInverse(&inv));
EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(0.5)));
EXPECT_TRUE(APFloat(2.0f).getExactInverse(&inv));
EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(0.5f)));
EXPECT_TRUE(APFloat(APFloat::IEEEquad, "2.0").getExactInverse(&inv));
EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::IEEEquad, "0.5")));
EXPECT_TRUE(APFloat(APFloat::PPCDoubleDouble, "2.0").getExactInverse(&inv));
EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::PPCDoubleDouble, "0.5")));
EXPECT_TRUE(APFloat(APFloat::x87DoubleExtended, "2.0").getExactInverse(&inv));
EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(APFloat::x87DoubleExtended, "0.5")));
// FLT_MIN
EXPECT_TRUE(APFloat(1.17549435e-38f).getExactInverse(&inv));
EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(8.5070592e+37f)));
// Large float, inverse is a denormal.
EXPECT_FALSE(APFloat(1.7014118e38f).getExactInverse(0));
// Zero
EXPECT_FALSE(APFloat(0.0).getExactInverse(0));
// Denormalized float
EXPECT_FALSE(APFloat(1.40129846e-45f).getExactInverse(0));
}
TEST(APFloatTest, roundToIntegral) {
APFloat T(-0.5), S(3.14), R(APFloat::getLargest(APFloat::IEEEdouble)), P(0.0);
P = T;
P.roundToIntegral(APFloat::rmTowardZero);
EXPECT_EQ(-0.0, P.convertToDouble());
P = T;
P.roundToIntegral(APFloat::rmTowardNegative);
EXPECT_EQ(-1.0, P.convertToDouble());
P = T;
P.roundToIntegral(APFloat::rmTowardPositive);
EXPECT_EQ(-0.0, P.convertToDouble());
P = T;
P.roundToIntegral(APFloat::rmNearestTiesToEven);
EXPECT_EQ(-0.0, P.convertToDouble());
P = S;
P.roundToIntegral(APFloat::rmTowardZero);
EXPECT_EQ(3.0, P.convertToDouble());
P = S;
P.roundToIntegral(APFloat::rmTowardNegative);
EXPECT_EQ(3.0, P.convertToDouble());
P = S;
P.roundToIntegral(APFloat::rmTowardPositive);
EXPECT_EQ(4.0, P.convertToDouble());
P = S;
P.roundToIntegral(APFloat::rmNearestTiesToEven);
EXPECT_EQ(3.0, P.convertToDouble());
P = R;
P.roundToIntegral(APFloat::rmTowardZero);
EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
P = R;
P.roundToIntegral(APFloat::rmTowardNegative);
EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
P = R;
P.roundToIntegral(APFloat::rmTowardPositive);
EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
P = R;
P.roundToIntegral(APFloat::rmNearestTiesToEven);
EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
P = APFloat::getZero(APFloat::IEEEdouble);
P.roundToIntegral(APFloat::rmTowardZero);
EXPECT_EQ(0.0, P.convertToDouble());
P = APFloat::getZero(APFloat::IEEEdouble, true);
P.roundToIntegral(APFloat::rmTowardZero);
EXPECT_EQ(-0.0, P.convertToDouble());
P = APFloat::getNaN(APFloat::IEEEdouble);
P.roundToIntegral(APFloat::rmTowardZero);
EXPECT_TRUE(IsNAN(P.convertToDouble()));
P = APFloat::getInf(APFloat::IEEEdouble);
P.roundToIntegral(APFloat::rmTowardZero);
EXPECT_TRUE(IsInf(P.convertToDouble()) && P.convertToDouble() > 0.0);
P = APFloat::getInf(APFloat::IEEEdouble, true);
P.roundToIntegral(APFloat::rmTowardZero);
EXPECT_TRUE(IsInf(P.convertToDouble()) && P.convertToDouble() < 0.0);
}
TEST(APFloatTest, getLargest) {
EXPECT_EQ(3.402823466e+38f, APFloat::getLargest(APFloat::IEEEsingle).convertToFloat());
EXPECT_EQ(1.7976931348623158e+308, APFloat::getLargest(APFloat::IEEEdouble).convertToDouble());
}
TEST(APFloatTest, getSmallest) {
APFloat test = APFloat::getSmallest(APFloat::IEEEsingle, false);
APFloat expected = APFloat(APFloat::IEEEsingle, "0x0.000002p-126");
EXPECT_FALSE(test.isNegative());
EXPECT_TRUE(test.isNormal());
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.isNormal());
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.isNormal());
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.isNormal());
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.isNormal());
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.isNormal());
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.isNormal());
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.isNormal());
EXPECT_FALSE(test.isDenormal());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
}
TEST(APFloatTest, getZero) {
struct {
const fltSemantics *semantics;
const bool sign;
const unsigned long long bitPattern[2];
const unsigned bitPatternLength;
} const GetZeroTest[] = {
{ &APFloat::IEEEhalf, false, {0, 0}, 1},
{ &APFloat::IEEEhalf, true, {0x8000ULL, 0}, 1},
{ &APFloat::IEEEsingle, false, {0, 0}, 1},
{ &APFloat::IEEEsingle, true, {0x80000000ULL, 0}, 1},
{ &APFloat::IEEEdouble, false, {0, 0}, 1},
{ &APFloat::IEEEdouble, true, {0x8000000000000000ULL, 0}, 1},
{ &APFloat::IEEEquad, false, {0, 0}, 2},
{ &APFloat::IEEEquad, true, {0, 0x8000000000000000ULL}, 2},
{ &APFloat::PPCDoubleDouble, false, {0, 0}, 2},
{ &APFloat::PPCDoubleDouble, true, {0x8000000000000000ULL, 0}, 2},
{ &APFloat::x87DoubleExtended, false, {0, 0}, 2},
{ &APFloat::x87DoubleExtended, true, {0, 0x8000ULL}, 2},
};
const unsigned NumGetZeroTests = 12;
for (unsigned i = 0; i < NumGetZeroTests; ++i) {
APFloat test = APFloat::getZero(*GetZeroTest[i].semantics,
GetZeroTest[i].sign);
const char *pattern = GetZeroTest[i].sign? "-0x0p+0" : "0x0p+0";
APFloat expected = APFloat(*GetZeroTest[i].semantics,
pattern);
EXPECT_TRUE(test.isZero());
EXPECT_TRUE(GetZeroTest[i].sign? test.isNegative() : !test.isNegative());
EXPECT_TRUE(test.bitwiseIsEqual(expected));
for (unsigned j = 0, je = GetZeroTest[i].bitPatternLength; j < je; ++j) {
EXPECT_EQ(GetZeroTest[i].bitPattern[j],
test.bitcastToAPInt().getRawData()[j]);
}
}
}
TEST(APFloatTest, convert) {
bool losesInfo;
APFloat test(APFloat::IEEEdouble, "1.0");
test.convert(APFloat::IEEEsingle, APFloat::rmNearestTiesToEven, &losesInfo);
EXPECT_EQ(1.0f, test.convertToFloat());
EXPECT_FALSE(losesInfo);
test = APFloat(APFloat::x87DoubleExtended, "0x1p-53");
test.add(APFloat(APFloat::x87DoubleExtended, "1.0"), APFloat::rmNearestTiesToEven);
test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo);
EXPECT_EQ(1.0, test.convertToDouble());
EXPECT_TRUE(losesInfo);
test = APFloat(APFloat::IEEEquad, "0x1p-53");
test.add(APFloat(APFloat::IEEEquad, "1.0"), APFloat::rmNearestTiesToEven);
test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo);
EXPECT_EQ(1.0, test.convertToDouble());
EXPECT_TRUE(losesInfo);
test = APFloat(APFloat::x87DoubleExtended, "0xf.fffffffp+28");
test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo);
EXPECT_EQ(4294967295.0, test.convertToDouble());
EXPECT_FALSE(losesInfo);
test = APFloat::getSNaN(APFloat::IEEEsingle);
APFloat X87SNaN = APFloat::getSNaN(APFloat::x87DoubleExtended);
test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
&losesInfo);
EXPECT_TRUE(test.bitwiseIsEqual(X87SNaN));
EXPECT_FALSE(losesInfo);
test = APFloat::getQNaN(APFloat::IEEEsingle);
APFloat X87QNaN = APFloat::getQNaN(APFloat::x87DoubleExtended);
test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
&losesInfo);
EXPECT_TRUE(test.bitwiseIsEqual(X87QNaN));
EXPECT_FALSE(losesInfo);
test = APFloat::getSNaN(APFloat::x87DoubleExtended);
test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
&losesInfo);
EXPECT_TRUE(test.bitwiseIsEqual(X87SNaN));
EXPECT_FALSE(losesInfo);
test = APFloat::getQNaN(APFloat::x87DoubleExtended);
test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
&losesInfo);
EXPECT_TRUE(test.bitwiseIsEqual(X87QNaN));
EXPECT_FALSE(losesInfo);
}
TEST(APFloatTest, PPCDoubleDouble) {
APFloat test(APFloat::PPCDoubleDouble, "1.0");
EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]);
EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]);
test.divide(APFloat(APFloat::PPCDoubleDouble, "3.0"), APFloat::rmNearestTiesToEven);
EXPECT_EQ(0x3fd5555555555555ull, test.bitcastToAPInt().getRawData()[0]);
EXPECT_EQ(0x3c75555555555556ull, test.bitcastToAPInt().getRawData()[1]);
// LDBL_MAX
test = APFloat(APFloat::PPCDoubleDouble, "1.79769313486231580793728971405301e+308");
EXPECT_EQ(0x7fefffffffffffffull, test.bitcastToAPInt().getRawData()[0]);
EXPECT_EQ(0x7c8ffffffffffffeull, test.bitcastToAPInt().getRawData()[1]);
// LDBL_MIN
test = APFloat(APFloat::PPCDoubleDouble, "2.00416836000897277799610805135016e-292");
EXPECT_EQ(0x0360000000000000ull, test.bitcastToAPInt().getRawData()[0]);
EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]);
test = APFloat(APFloat::PPCDoubleDouble, "1.0");
test.add(APFloat(APFloat::PPCDoubleDouble, "0x1p-105"), APFloat::rmNearestTiesToEven);
EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]);
EXPECT_EQ(0x3960000000000000ull, test.bitcastToAPInt().getRawData()[1]);
test = APFloat(APFloat::PPCDoubleDouble, "1.0");
test.add(APFloat(APFloat::PPCDoubleDouble, "0x1p-106"), APFloat::rmNearestTiesToEven);
EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]);
#if 0 // XFAIL
// This is what we would expect with a true double-double implementation
EXPECT_EQ(0x3950000000000000ull, test.bitcastToAPInt().getRawData()[1]);
#else
// This is what we get with our 106-bit mantissa approximation
EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]);
#endif
}
TEST(APFloatTest, isNegative) {
APFloat t(APFloat::IEEEsingle, "0x1p+0");
EXPECT_FALSE(t.isNegative());
t = APFloat(APFloat::IEEEsingle, "-0x1p+0");
EXPECT_TRUE(t.isNegative());
EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isNegative());
EXPECT_TRUE(APFloat::getInf(APFloat::IEEEsingle, true).isNegative());
EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isNegative());
EXPECT_TRUE(APFloat::getZero(APFloat::IEEEsingle, true).isNegative());
EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isNegative());
EXPECT_TRUE(APFloat::getNaN(APFloat::IEEEsingle, true).isNegative());
EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isNegative());
EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, true).isNegative());
}
TEST(APFloatTest, isIEEENormal) {
APFloat t(APFloat::IEEEsingle, "0x1p+0");
EXPECT_TRUE(t.isIEEENormal());
EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isIEEENormal());
EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isIEEENormal());
EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isIEEENormal());
EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isIEEENormal());
EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-159").isIEEENormal());
}
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-159").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-159").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-159").isNaN());
}
}
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