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APFloatTest.cpp
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APFloatTest.cpp
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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/SmallVector.h"
#include "llvm/Support/raw_ostream.h"
#include "gtest/gtest.h"
#include <cmath>
#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.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, minnum(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\02", 6)).convertToDouble());
}
TEST(APFloatTest, fromZeroHexadecimalString) {
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p+1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p+1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p+1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p-1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0p-1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p-1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p+1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p+1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p+1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p-1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.p-1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.p-1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.0p1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.0p+1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p+1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p+1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.0p-1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x.0p-1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x.0p-1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.0p1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.0p+1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p+1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p+1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.0p-1").convertToDouble());
EXPECT_EQ(+0.0, APFloat(APFloat::IEEEdouble, "+0x0.0p-1").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0.0p-1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x00000.p1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0000.00000p1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.00000p1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0p1234").convertToDouble());
EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, "-0x0p1234").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x00000.p1234").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0000.00000p1234").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x.00000p1234").convertToDouble());
EXPECT_EQ( 0.0, APFloat(APFloat::IEEEdouble, "0x0.p1234").convertToDouble());
}
TEST(APFloatTest, fromDecimalString) {
EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "1").convertToDouble());
EXPECT_EQ(2.0, APFloat(APFloat::IEEEdouble, "2.").convertToDouble());
EXPECT_EQ(0.5, APFloat(APFloat::IEEEdouble, ".5").convertToDouble());
EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "1.0").convertToDouble());
EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-2").convertToDouble());
EXPECT_EQ(-4.0, APFloat(APFloat::IEEEdouble, "-4.").convertToDouble());
EXPECT_EQ(-0.5, APFloat(APFloat::IEEEdouble, "-.5").convertToDouble());
EXPECT_EQ(-1.5, APFloat(APFloat::IEEEdouble, "-1.5").convertToDouble());
EXPECT_EQ(1.25e12, APFloat(APFloat::IEEEdouble, "1.25e12").convertToDouble());
EXPECT_EQ(1.25e+12, APFloat(APFloat::IEEEdouble, "1.25e+12").convertToDouble());
EXPECT_EQ(1.25e-12, APFloat(APFloat::IEEEdouble, "1.25e-12").convertToDouble());
EXPECT_EQ(1024.0, APFloat(APFloat::IEEEdouble, "1024.").convertToDouble());
EXPECT_EQ(1024.05, APFloat(APFloat::IEEEdouble, "1024.05000").convertToDouble());
EXPECT_EQ(0.05, APFloat(APFloat::IEEEdouble, ".05000").convertToDouble());
EXPECT_EQ(2.0, APFloat(APFloat::IEEEdouble, "2.").convertToDouble());
EXPECT_EQ(2.0e2, APFloat(APFloat::IEEEdouble, "2.e2").convertToDouble());
EXPECT_EQ(2.0e+2, APFloat(APFloat::IEEEdouble, "2.e+2").convertToDouble());
EXPECT_EQ(2.0e-2, APFloat(APFloat::IEEEdouble, "2.e-2").convertToDouble());
EXPECT_EQ(2.05e2, APFloat(APFloat::IEEEdouble, "002.05000e2").convertToDouble());
EXPECT_EQ(2.05e+2, APFloat(APFloat::IEEEdouble, "002.05000e+2").convertToDouble());
EXPECT_EQ(2.05e-2, APFloat(APFloat::IEEEdouble, "002.05000e-2").convertToDouble());
EXPECT_EQ(2.05e12, APFloat(APFloat::IEEEdouble, "002.05000e12").convertToDouble());
EXPECT_EQ(2.05e+12, APFloat(APFloat::IEEEdouble, "002.05000e+12").convertToDouble());
EXPECT_EQ(2.05e-12, APFloat(APFloat::IEEEdouble, "002.05000e-12").convertToDouble());
// These are "carefully selected" to overflow the fast log-base
// calculations in APFloat.cpp
EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "99e99999").isInfinity());
EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "-99e99999").isInfinity());
EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "1e-99999").isPosZero());
EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "-1e-99999").isNegZero());
EXPECT_EQ(2.71828, convertToDoubleFromString("2.71828"));
}
TEST(APFloatTest, fromHexadecimalString) {
EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble, "0x1p0").convertToDouble());
EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p0").convertToDouble());
EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p0").convertToDouble());
EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble, "0x1p+0").convertToDouble());
EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p+0").convertToDouble());
EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p+0").convertToDouble());
EXPECT_EQ( 1.0, APFloat(APFloat::IEEEdouble, "0x1p-0").convertToDouble());
EXPECT_EQ(+1.0, APFloat(APFloat::IEEEdouble, "+0x1p-0").convertToDouble());
EXPECT_EQ(-1.0, APFloat(APFloat::IEEEdouble, "-0x1p-0").convertToDouble());
EXPECT_EQ( 2.0, APFloat(APFloat::IEEEdouble, "0x1p1").convertToDouble());
EXPECT_EQ(+2.0, APFloat(APFloat::IEEEdouble, "+0x1p1").convertToDouble());
EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-0x1p1").convertToDouble());
EXPECT_EQ( 2.0, APFloat(APFloat::IEEEdouble, "0x1p+1").convertToDouble());
EXPECT_EQ(+2.0, APFloat(APFloat::IEEEdouble, "+0x1p+1").convertToDouble());
EXPECT_EQ(-2.0, APFloat(APFloat::IEEEdouble, "-0x1p+1").convertToDouble());
EXPECT_EQ( 0.5, APFloat(APFloat::IEEEdouble, "0x1p-1").convertToDouble());
EXPECT_EQ(+0.5, APFloat(APFloat::IEEEdouble, "+0x1p-1").convertToDouble());
EXPECT_EQ(-0.5, APFloat(APFloat::IEEEdouble, "-0x1p-1").convertToDouble());
EXPECT_EQ( 3.0, APFloat(APFloat::IEEEdouble, "0x1.8p1").convertToDouble());
EXPECT_EQ(+3.0, APFloat(APFloat::IEEEdouble, "+0x1.8p1").convertToDouble());
EXPECT_EQ(-3.0, APFloat(APFloat::IEEEdouble, "-0x1.8p1").convertToDouble());
EXPECT_EQ( 3.0, APFloat(APFloat::IEEEdouble, "0x1.8p+1").convertToDouble());
EXPECT_EQ(+3.0, APFloat(APFloat::IEEEdouble, "+0x1.8p+1").convertToDouble());
EXPECT_EQ(-3.0, APFloat(APFloat::IEEEdouble, "-0x1.8p+1").convertToDouble());
EXPECT_EQ( 0.75, APFloat(APFloat::IEEEdouble, "0x1.8p-1").convertToDouble());
EXPECT_EQ(+0.75, APFloat(APFloat::IEEEdouble, "+0x1.8p-1").convertToDouble());
EXPECT_EQ(-0.75, APFloat(APFloat::IEEEdouble, "-0x1.8p-1").convertToDouble());
EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000.000p1").convertToDouble());
EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p1").convertToDouble());
EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p1").convertToDouble());
EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000.000p+1").convertToDouble());
EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p+1").convertToDouble());
EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p+1").convertToDouble());
EXPECT_EQ( 2048.0, APFloat(APFloat::IEEEdouble, "0x1000.000p-1").convertToDouble());
EXPECT_EQ(+2048.0, APFloat(APFloat::IEEEdouble, "+0x1000.000p-1").convertToDouble());
EXPECT_EQ(-2048.0, APFloat(APFloat::IEEEdouble, "-0x1000.000p-1").convertToDouble());
EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000p1").convertToDouble());
EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000p1").convertToDouble());
EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000p1").convertToDouble());
EXPECT_EQ( 8192.0, APFloat(APFloat::IEEEdouble, "0x1000p+1").convertToDouble());
EXPECT_EQ(+8192.0, APFloat(APFloat::IEEEdouble, "+0x1000p+1").convertToDouble());
EXPECT_EQ(-8192.0, APFloat(APFloat::IEEEdouble, "-0x1000p+1").convertToDouble());
EXPECT_EQ( 2048.0, APFloat(APFloat::IEEEdouble, "0x1000p-1").convertToDouble());
EXPECT_EQ(+2048.0, APFloat(APFloat::IEEEdouble, "+0x1000p-1").convertToDouble());
EXPECT_EQ(-2048.0, APFloat(APFloat::IEEEdouble, "-0x1000p-1").convertToDouble());
EXPECT_EQ( 16384.0, APFloat(APFloat::IEEEdouble, "0x10p10").convertToDouble());
EXPECT_EQ(+16384.0, APFloat(APFloat::IEEEdouble, "+0x10p10").convertToDouble());
EXPECT_EQ(-16384.0, APFloat(APFloat::IEEEdouble, "-0x10p10").convertToDouble());
EXPECT_EQ( 16384.0, APFloat(APFloat::IEEEdouble, "0x10p+10").convertToDouble());
EXPECT_EQ(+16384.0, APFloat(APFloat::IEEEdouble, "+0x10p+10").convertToDouble());
EXPECT_EQ(-16384.0, APFloat(APFloat::IEEEdouble, "-0x10p+10").convertToDouble());
EXPECT_EQ( 0.015625, APFloat(APFloat::IEEEdouble, "0x10p-10").convertToDouble());
EXPECT_EQ(+0.015625, APFloat(APFloat::IEEEdouble, "+0x10p-10").convertToDouble());
EXPECT_EQ(-0.015625, APFloat(APFloat::IEEEdouble, "-0x10p-10").convertToDouble());
EXPECT_EQ(1.0625, APFloat(APFloat::IEEEdouble, "0x1.1p0").convertToDouble());
EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "0x1p0").convertToDouble());
EXPECT_EQ(convertToDoubleFromString("0x1p-150"),
convertToDoubleFromString("+0x800000000000000001.p-221"));
EXPECT_EQ(2251799813685248.5,
convertToDoubleFromString("0x80000000000004000000.010p-28"));
}
TEST(APFloatTest, toString) {
ASSERT_EQ("10", convertToString(10.0, 6, 3));
ASSERT_EQ("1.0E+1", convertToString(10.0, 6, 0));
ASSERT_EQ("10100", convertToString(1.01E+4, 5, 2));
ASSERT_EQ("1.01E+4", convertToString(1.01E+4, 4, 2));
ASSERT_EQ("1.01E+4", convertToString(1.01E+4, 5, 1));
ASSERT_EQ("0.0101", convertToString(1.01E-2, 5, 2));
ASSERT_EQ("0.0101", convertToString(1.01E-2, 4, 2));
ASSERT_EQ("1.01E-2", convertToString(1.01E-2, 5, 1));
ASSERT_EQ("0.78539816339744828", convertToString(0.78539816339744830961, 0, 3));
ASSERT_EQ("4.9406564584124654E-324", convertToString(4.9406564584124654e-324, 0, 3));
ASSERT_EQ("873.18340000000001", convertToString(873.1834, 0, 1));
ASSERT_EQ("8.7318340000000001E+2", convertToString(873.1834, 0, 0));
ASSERT_EQ("1.7976931348623157E+308", convertToString(1.7976931348623157E+308, 0, 0));
}
TEST(APFloatTest, toInteger) {
bool isExact = false;
APSInt result(5, /*isUnsigned=*/true);
EXPECT_EQ(APFloat::opOK,
APFloat(APFloat::IEEEdouble, "10")
.convertToInteger(result, APFloat::rmTowardZero, &isExact));
EXPECT_TRUE(isExact);
EXPECT_EQ(APSInt(APInt(5, 10), true), result);
EXPECT_EQ(APFloat::opInvalidOp,
APFloat(APFloat::IEEEdouble, "-10")
.convertToInteger(result, APFloat::rmTowardZero, &isExact));
EXPECT_FALSE(isExact);
EXPECT_EQ(APSInt::getMinValue(5, true), result);
EXPECT_EQ(APFloat::opInvalidOp,
APFloat(APFloat::IEEEdouble, "32")
.convertToInteger(result, APFloat::rmTowardZero, &isExact));
EXPECT_FALSE(isExact);
EXPECT_EQ(APSInt::getMaxValue(5, true), result);
EXPECT_EQ(APFloat::opInexact,
APFloat(APFloat::IEEEdouble, "7.9")
.convertToInteger(result, APFloat::rmTowardZero, &isExact));
EXPECT_FALSE(isExact);
EXPECT_EQ(APSInt(APInt(5, 7), true), result);
result.setIsUnsigned(false);
EXPECT_EQ(APFloat::opOK,
APFloat(APFloat::IEEEdouble, "-10")
.convertToInteger(result, APFloat::rmTowardZero, &isExact));
EXPECT_TRUE(isExact);
EXPECT_EQ(APSInt(APInt(5, -10, true), false), result);
EXPECT_EQ(APFloat::opInvalidOp,
APFloat(APFloat::IEEEdouble, "-17")
.convertToInteger(result, APFloat::rmTowardZero, &isExact));
EXPECT_FALSE(isExact);
EXPECT_EQ(APSInt::getMinValue(5, false), result);
EXPECT_EQ(APFloat::opInvalidOp,
APFloat(APFloat::IEEEdouble, "16")
.convertToInteger(result, APFloat::rmTowardZero, &isExact));
EXPECT_FALSE(isExact);
EXPECT_EQ(APSInt::getMaxValue(5, false), result);
}
static APInt nanbits(const fltSemantics &Sem,
bool SNaN, bool Negative, uint64_t fill) {