//
//===----------------------------------------------------------------------===//
-#include <ostream>
-#include <string>
-#include "llvm/Support/raw_ostream.h"
-#include "gtest/gtest.h"
#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;
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(APFloat::IEEEsingle, 0.0f).convertToFloat());
- EXPECT_EQ(-0.0f, APFloat(APFloat::IEEEsingle, -0.0f).convertToFloat());
+ 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);
- EXPECT_EQ(0.0, APFloat(APFloat::IEEEdouble, 0.0).convertToDouble());
- EXPECT_EQ(-0.0, APFloat(APFloat::IEEEdouble, -0.0).convertToDouble());
}
TEST(APFloatTest, fromZeroDecimalString) {
EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "-99e99999").isInfinity());
EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "1e-99999").isPosZero());
EXPECT_TRUE(APFloat(APFloat::IEEEdouble, "-1e-99999").isNegZero());
+
+ EXPECT_EQ(2.71828, convertToDoubleFromString("2.71828"));
}
TEST(APFloatTest, fromHexadecimalString) {
EXPECT_EQ(1.0625, APFloat(APFloat::IEEEdouble, "0x1.1p0").convertToDouble());
EXPECT_EQ(1.0, APFloat(APFloat::IEEEdouble, "0x1p0").convertToDouble());
- EXPECT_EQ(2.71828, convertToDoubleFromString("2.71828"));
+ EXPECT_EQ(convertToDoubleFromString("0x1p-150"),
+ convertToDoubleFromString("+0x800000000000000001.p-221"));
+ EXPECT_EQ(2251799813685248.5,
+ convertToDoubleFromString("0x80000000000004000000.010p-28"));
}
TEST(APFloatTest, toString) {
ASSERT_EQ("0.0101", convertToString(1.01E-2, 5, 2));
ASSERT_EQ("0.0101", convertToString(1.01E-2, 4, 2));
ASSERT_EQ("1.01E-2", convertToString(1.01E-2, 5, 1));
- ASSERT_EQ("0.7853981633974483", convertToString(0.78539816339744830961, 0, 3));
- ASSERT_EQ("4.940656458412465E-324", convertToString(4.9406564584124654e-324, 0, 3));
- ASSERT_EQ("873.1834", convertToString(873.1834, 0, 1));
- ASSERT_EQ("8.731834E+2", convertToString(873.1834, 0, 0));
+ ASSERT_EQ("0.78539816339744828", convertToString(0.78539816339744830961, 0, 3));
+ ASSERT_EQ("4.9406564584124654E-324", convertToString(4.9406564584124654e-324, 0, 3));
+ ASSERT_EQ("873.18340000000001", convertToString(873.1834, 0, 1));
+ ASSERT_EQ("8.7318340000000001E+2", convertToString(873.1834, 0, 0));
+ ASSERT_EQ("1.7976931348623157E+308", convertToString(1.7976931348623157E+308, 0, 0));
+}
+
+TEST(APFloatTest, toInteger) {
+ 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,
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
- EXPECT_TRUE(APFloat(1.7014118e38f).getExactInverse(&inv));
- EXPECT_TRUE(inv.bitwiseIsEqual(APFloat(5.8774718e-39f)));
-
+ // Large float, inverse is a denormal.
+ EXPECT_FALSE(APFloat(1.7014118e38f).getExactInverse(nullptr));
// Zero
- EXPECT_FALSE(APFloat(0.0).getExactInverse(0));
+ EXPECT_FALSE(APFloat(0.0).getExactInverse(nullptr));
// Denormalized float
- EXPECT_FALSE(APFloat(1.40129846e-45f).getExactInverse(0));
+ EXPECT_FALSE(APFloat(1.40129846e-45f).getExactInverse(nullptr));
+}
+
+TEST(APFloatTest, roundToIntegral) {
+ APFloat T(-0.5), S(3.14), R(APFloat::getLargest(APFloat::IEEEdouble)), P(0.0);
+
+ P = T;
+ P.roundToIntegral(APFloat::rmTowardZero);
+ EXPECT_EQ(-0.0, P.convertToDouble());
+ P = T;
+ P.roundToIntegral(APFloat::rmTowardNegative);
+ EXPECT_EQ(-1.0, P.convertToDouble());
+ P = T;
+ P.roundToIntegral(APFloat::rmTowardPositive);
+ EXPECT_EQ(-0.0, P.convertToDouble());
+ P = T;
+ P.roundToIntegral(APFloat::rmNearestTiesToEven);
+ EXPECT_EQ(-0.0, P.convertToDouble());
+
+ P = S;
+ P.roundToIntegral(APFloat::rmTowardZero);
+ EXPECT_EQ(3.0, P.convertToDouble());
+ P = S;
+ P.roundToIntegral(APFloat::rmTowardNegative);
+ EXPECT_EQ(3.0, P.convertToDouble());
+ P = S;
+ P.roundToIntegral(APFloat::rmTowardPositive);
+ EXPECT_EQ(4.0, P.convertToDouble());
+ P = S;
+ P.roundToIntegral(APFloat::rmNearestTiesToEven);
+ EXPECT_EQ(3.0, P.convertToDouble());
+
+ P = R;
+ P.roundToIntegral(APFloat::rmTowardZero);
+ EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
+ P = R;
+ P.roundToIntegral(APFloat::rmTowardNegative);
+ EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
+ P = R;
+ P.roundToIntegral(APFloat::rmTowardPositive);
+ EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
+ P = R;
+ P.roundToIntegral(APFloat::rmNearestTiesToEven);
+ EXPECT_EQ(R.convertToDouble(), P.convertToDouble());
+
+ P = APFloat::getZero(APFloat::IEEEdouble);
+ P.roundToIntegral(APFloat::rmTowardZero);
+ EXPECT_EQ(0.0, P.convertToDouble());
+ P = APFloat::getZero(APFloat::IEEEdouble, true);
+ P.roundToIntegral(APFloat::rmTowardZero);
+ EXPECT_EQ(-0.0, P.convertToDouble());
+ P = APFloat::getNaN(APFloat::IEEEdouble);
+ P.roundToIntegral(APFloat::rmTowardZero);
+ EXPECT_TRUE(IsNAN(P.convertToDouble()));
+ P = APFloat::getInf(APFloat::IEEEdouble);
+ P.roundToIntegral(APFloat::rmTowardZero);
+ EXPECT_TRUE(IsInf(P.convertToDouble()) && P.convertToDouble() > 0.0);
+ P = APFloat::getInf(APFloat::IEEEdouble, true);
+ P.roundToIntegral(APFloat::rmTowardZero);
+ EXPECT_TRUE(IsInf(P.convertToDouble()) && P.convertToDouble() < 0.0);
+
+}
+
+TEST(APFloatTest, getLargest) {
+ EXPECT_EQ(3.402823466e+38f, APFloat::getLargest(APFloat::IEEEsingle).convertToFloat());
+ EXPECT_EQ(1.7976931348623158e+308, APFloat::getLargest(APFloat::IEEEdouble).convertToDouble());
+}
+
+TEST(APFloatTest, getSmallest) {
+ APFloat test = APFloat::getSmallest(APFloat::IEEEsingle, false);
+ APFloat expected = APFloat(APFloat::IEEEsingle, "0x0.000002p-126");
+ EXPECT_FALSE(test.isNegative());
+ EXPECT_TRUE(test.isFiniteNonZero());
+ EXPECT_TRUE(test.isDenormal());
+ EXPECT_TRUE(test.bitwiseIsEqual(expected));
+
+ test = APFloat::getSmallest(APFloat::IEEEsingle, true);
+ expected = APFloat(APFloat::IEEEsingle, "-0x0.000002p-126");
+ EXPECT_TRUE(test.isNegative());
+ EXPECT_TRUE(test.isFiniteNonZero());
+ EXPECT_TRUE(test.isDenormal());
+ EXPECT_TRUE(test.bitwiseIsEqual(expected));
+
+ test = APFloat::getSmallest(APFloat::IEEEquad, false);
+ expected = APFloat(APFloat::IEEEquad, "0x0.0000000000000000000000000001p-16382");
+ EXPECT_FALSE(test.isNegative());
+ EXPECT_TRUE(test.isFiniteNonZero());
+ EXPECT_TRUE(test.isDenormal());
+ EXPECT_TRUE(test.bitwiseIsEqual(expected));
+
+ test = APFloat::getSmallest(APFloat::IEEEquad, true);
+ expected = APFloat(APFloat::IEEEquad, "-0x0.0000000000000000000000000001p-16382");
+ EXPECT_TRUE(test.isNegative());
+ EXPECT_TRUE(test.isFiniteNonZero());
+ EXPECT_TRUE(test.isDenormal());
+ EXPECT_TRUE(test.bitwiseIsEqual(expected));
+}
+
+TEST(APFloatTest, getSmallestNormalized) {
+ APFloat test = APFloat::getSmallestNormalized(APFloat::IEEEsingle, false);
+ APFloat expected = APFloat(APFloat::IEEEsingle, "0x1p-126");
+ EXPECT_FALSE(test.isNegative());
+ EXPECT_TRUE(test.isFiniteNonZero());
+ EXPECT_FALSE(test.isDenormal());
+ EXPECT_TRUE(test.bitwiseIsEqual(expected));
+
+ test = APFloat::getSmallestNormalized(APFloat::IEEEsingle, true);
+ expected = APFloat(APFloat::IEEEsingle, "-0x1p-126");
+ EXPECT_TRUE(test.isNegative());
+ EXPECT_TRUE(test.isFiniteNonZero());
+ EXPECT_FALSE(test.isDenormal());
+ EXPECT_TRUE(test.bitwiseIsEqual(expected));
+
+ test = APFloat::getSmallestNormalized(APFloat::IEEEquad, false);
+ expected = APFloat(APFloat::IEEEquad, "0x1p-16382");
+ EXPECT_FALSE(test.isNegative());
+ EXPECT_TRUE(test.isFiniteNonZero());
+ EXPECT_FALSE(test.isDenormal());
+ EXPECT_TRUE(test.bitwiseIsEqual(expected));
+
+ test = APFloat::getSmallestNormalized(APFloat::IEEEquad, true);
+ expected = APFloat(APFloat::IEEEquad, "-0x1p-16382");
+ EXPECT_TRUE(test.isNegative());
+ EXPECT_TRUE(test.isFiniteNonZero());
+ EXPECT_FALSE(test.isDenormal());
+ EXPECT_TRUE(test.bitwiseIsEqual(expected));
+}
+
+TEST(APFloatTest, getZero) {
+ struct {
+ const fltSemantics *semantics;
+ const bool sign;
+ const unsigned long long bitPattern[2];
+ const unsigned bitPatternLength;
+ } const GetZeroTest[] = {
+ { &APFloat::IEEEhalf, false, {0, 0}, 1},
+ { &APFloat::IEEEhalf, true, {0x8000ULL, 0}, 1},
+ { &APFloat::IEEEsingle, false, {0, 0}, 1},
+ { &APFloat::IEEEsingle, true, {0x80000000ULL, 0}, 1},
+ { &APFloat::IEEEdouble, false, {0, 0}, 1},
+ { &APFloat::IEEEdouble, true, {0x8000000000000000ULL, 0}, 1},
+ { &APFloat::IEEEquad, false, {0, 0}, 2},
+ { &APFloat::IEEEquad, true, {0, 0x8000000000000000ULL}, 2},
+ { &APFloat::PPCDoubleDouble, false, {0, 0}, 2},
+ { &APFloat::PPCDoubleDouble, true, {0x8000000000000000ULL, 0}, 2},
+ { &APFloat::x87DoubleExtended, false, {0, 0}, 2},
+ { &APFloat::x87DoubleExtended, true, {0, 0x8000ULL}, 2},
+ };
+ const unsigned NumGetZeroTests = 12;
+ for (unsigned i = 0; i < NumGetZeroTests; ++i) {
+ APFloat test = APFloat::getZero(*GetZeroTest[i].semantics,
+ GetZeroTest[i].sign);
+ const char *pattern = GetZeroTest[i].sign? "-0x0p+0" : "0x0p+0";
+ APFloat expected = APFloat(*GetZeroTest[i].semantics,
+ pattern);
+ EXPECT_TRUE(test.isZero());
+ EXPECT_TRUE(GetZeroTest[i].sign? test.isNegative() : !test.isNegative());
+ EXPECT_TRUE(test.bitwiseIsEqual(expected));
+ for (unsigned j = 0, je = GetZeroTest[i].bitPatternLength; j < je; ++j) {
+ EXPECT_EQ(GetZeroTest[i].bitPattern[j],
+ test.bitcastToAPInt().getRawData()[j]);
+ }
+ }
+}
+
+TEST(APFloatTest, convert) {
+ bool losesInfo;
+ APFloat test(APFloat::IEEEdouble, "1.0");
+ test.convert(APFloat::IEEEsingle, APFloat::rmNearestTiesToEven, &losesInfo);
+ EXPECT_EQ(1.0f, test.convertToFloat());
+ EXPECT_FALSE(losesInfo);
+
+ test = APFloat(APFloat::x87DoubleExtended, "0x1p-53");
+ test.add(APFloat(APFloat::x87DoubleExtended, "1.0"), APFloat::rmNearestTiesToEven);
+ test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo);
+ EXPECT_EQ(1.0, test.convertToDouble());
+ EXPECT_TRUE(losesInfo);
+
+ test = APFloat(APFloat::IEEEquad, "0x1p-53");
+ test.add(APFloat(APFloat::IEEEquad, "1.0"), APFloat::rmNearestTiesToEven);
+ test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo);
+ EXPECT_EQ(1.0, test.convertToDouble());
+ EXPECT_TRUE(losesInfo);
+
+ test = APFloat(APFloat::x87DoubleExtended, "0xf.fffffffp+28");
+ test.convert(APFloat::IEEEdouble, APFloat::rmNearestTiesToEven, &losesInfo);
+ EXPECT_EQ(4294967295.0, test.convertToDouble());
+ EXPECT_FALSE(losesInfo);
+
+ test = APFloat::getSNaN(APFloat::IEEEsingle);
+ APFloat X87SNaN = APFloat::getSNaN(APFloat::x87DoubleExtended);
+ test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
+ &losesInfo);
+ EXPECT_TRUE(test.bitwiseIsEqual(X87SNaN));
+ EXPECT_FALSE(losesInfo);
+
+ test = APFloat::getQNaN(APFloat::IEEEsingle);
+ APFloat X87QNaN = APFloat::getQNaN(APFloat::x87DoubleExtended);
+ test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
+ &losesInfo);
+ EXPECT_TRUE(test.bitwiseIsEqual(X87QNaN));
+ EXPECT_FALSE(losesInfo);
+
+ test = APFloat::getSNaN(APFloat::x87DoubleExtended);
+ test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
+ &losesInfo);
+ EXPECT_TRUE(test.bitwiseIsEqual(X87SNaN));
+ EXPECT_FALSE(losesInfo);
+
+ test = APFloat::getQNaN(APFloat::x87DoubleExtended);
+ test.convert(APFloat::x87DoubleExtended, APFloat::rmNearestTiesToEven,
+ &losesInfo);
+ EXPECT_TRUE(test.bitwiseIsEqual(X87QNaN));
+ EXPECT_FALSE(losesInfo);
+}
+
+TEST(APFloatTest, PPCDoubleDouble) {
+ APFloat test(APFloat::PPCDoubleDouble, "1.0");
+ EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]);
+ EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]);
+
+ test.divide(APFloat(APFloat::PPCDoubleDouble, "3.0"), APFloat::rmNearestTiesToEven);
+ EXPECT_EQ(0x3fd5555555555555ull, test.bitcastToAPInt().getRawData()[0]);
+ EXPECT_EQ(0x3c75555555555556ull, test.bitcastToAPInt().getRawData()[1]);
+
+ // LDBL_MAX
+ test = APFloat(APFloat::PPCDoubleDouble, "1.79769313486231580793728971405301e+308");
+ EXPECT_EQ(0x7fefffffffffffffull, test.bitcastToAPInt().getRawData()[0]);
+ EXPECT_EQ(0x7c8ffffffffffffeull, test.bitcastToAPInt().getRawData()[1]);
+
+ // LDBL_MIN
+ test = APFloat(APFloat::PPCDoubleDouble, "2.00416836000897277799610805135016e-292");
+ EXPECT_EQ(0x0360000000000000ull, test.bitcastToAPInt().getRawData()[0]);
+ EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]);
+
+ test = APFloat(APFloat::PPCDoubleDouble, "1.0");
+ test.add(APFloat(APFloat::PPCDoubleDouble, "0x1p-105"), APFloat::rmNearestTiesToEven);
+ EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]);
+ EXPECT_EQ(0x3960000000000000ull, test.bitcastToAPInt().getRawData()[1]);
+
+ test = APFloat(APFloat::PPCDoubleDouble, "1.0");
+ test.add(APFloat(APFloat::PPCDoubleDouble, "0x1p-106"), APFloat::rmNearestTiesToEven);
+ EXPECT_EQ(0x3ff0000000000000ull, test.bitcastToAPInt().getRawData()[0]);
+#if 0 // XFAIL
+ // This is what we would expect with a true double-double implementation
+ EXPECT_EQ(0x3950000000000000ull, test.bitcastToAPInt().getRawData()[1]);
+#else
+ // This is what we get with our 106-bit mantissa approximation
+ EXPECT_EQ(0x0000000000000000ull, test.bitcastToAPInt().getRawData()[1]);
+#endif
+}
+
+TEST(APFloatTest, isNegative) {
+ APFloat t(APFloat::IEEEsingle, "0x1p+0");
+ EXPECT_FALSE(t.isNegative());
+ t = APFloat(APFloat::IEEEsingle, "-0x1p+0");
+ EXPECT_TRUE(t.isNegative());
+
+ EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isNegative());
+ EXPECT_TRUE(APFloat::getInf(APFloat::IEEEsingle, true).isNegative());
+
+ EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isNegative());
+ EXPECT_TRUE(APFloat::getZero(APFloat::IEEEsingle, true).isNegative());
+
+ EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isNegative());
+ EXPECT_TRUE(APFloat::getNaN(APFloat::IEEEsingle, true).isNegative());
+
+ EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isNegative());
+ EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, true).isNegative());
+}
+
+TEST(APFloatTest, isNormal) {
+ APFloat t(APFloat::IEEEsingle, "0x1p+0");
+ EXPECT_TRUE(t.isNormal());
+
+ EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isNormal());
+ EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isNormal());
+ EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isNormal());
+ EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isNormal());
+ EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-149").isNormal());
+}
+
+TEST(APFloatTest, isFinite) {
+ APFloat t(APFloat::IEEEsingle, "0x1p+0");
+ EXPECT_TRUE(t.isFinite());
+ EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isFinite());
+ EXPECT_TRUE(APFloat::getZero(APFloat::IEEEsingle, false).isFinite());
+ EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isFinite());
+ EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isFinite());
+ EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "0x1p-149").isFinite());
+}
+
+TEST(APFloatTest, isInfinity) {
+ APFloat t(APFloat::IEEEsingle, "0x1p+0");
+ EXPECT_FALSE(t.isInfinity());
+ EXPECT_TRUE(APFloat::getInf(APFloat::IEEEsingle, false).isInfinity());
+ EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isInfinity());
+ EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isInfinity());
+ EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isInfinity());
+ EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-149").isInfinity());
+}
+
+TEST(APFloatTest, isNaN) {
+ APFloat t(APFloat::IEEEsingle, "0x1p+0");
+ EXPECT_FALSE(t.isNaN());
+ EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isNaN());
+ EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isNaN());
+ EXPECT_TRUE(APFloat::getNaN(APFloat::IEEEsingle, false).isNaN());
+ EXPECT_TRUE(APFloat::getSNaN(APFloat::IEEEsingle, false).isNaN());
+ EXPECT_FALSE(APFloat(APFloat::IEEEsingle, "0x1p-149").isNaN());
+}
+
+TEST(APFloatTest, isFiniteNonZero) {
+ // Test positive/negative normal value.
+ EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "0x1p+0").isFiniteNonZero());
+ EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "-0x1p+0").isFiniteNonZero());
+
+ // Test positive/negative denormal value.
+ EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "0x1p-149").isFiniteNonZero());
+ EXPECT_TRUE(APFloat(APFloat::IEEEsingle, "-0x1p-149").isFiniteNonZero());
+
+ // Test +/- Infinity.
+ EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, false).isFiniteNonZero());
+ EXPECT_FALSE(APFloat::getInf(APFloat::IEEEsingle, true).isFiniteNonZero());
+
+ // Test +/- Zero.
+ EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, false).isFiniteNonZero());
+ EXPECT_FALSE(APFloat::getZero(APFloat::IEEEsingle, true).isFiniteNonZero());
+
+ // Test +/- qNaN. +/- dont mean anything with qNaN but paranoia can't hurt in
+ // this instance.
+ EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, false).isFiniteNonZero());
+ EXPECT_FALSE(APFloat::getNaN(APFloat::IEEEsingle, true).isFiniteNonZero());
+
+ // Test +/- sNaN. +/- dont mean anything with sNaN but paranoia can't hurt in
+ // this instance.
+ EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, false).isFiniteNonZero());
+ EXPECT_FALSE(APFloat::getSNaN(APFloat::IEEEsingle, true).isFiniteNonZero());
+}
+
+TEST(APFloatTest, add) {
+ // Test Special Cases against each other and normal values.
+
+ // TODOS/NOTES:
+ // 1. Since we perform only default exception handling all operations with
+ // signaling NaNs should have a result that is a quiet NaN. Currently they
+ // return sNaN.
+
+ APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false);
+ APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true);
+ APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false);
+ APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true);
+ APFloat QNaN = APFloat::getNaN(APFloat::IEEEsingle, false);
+ APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle, false);
+ APFloat PNormalValue = APFloat(APFloat::IEEEsingle, "0x1p+0");
+ APFloat MNormalValue = APFloat(APFloat::IEEEsingle, "-0x1p+0");
+ APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle, false);
+ APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle, true);
+ APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, false);
+ APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, true);
+ APFloat PSmallestNormalized =
+ APFloat::getSmallestNormalized(APFloat::IEEEsingle, false);
+ APFloat MSmallestNormalized =
+ APFloat::getSmallestNormalized(APFloat::IEEEsingle, true);
+
+ const int OverflowStatus = APFloat::opOverflow | APFloat::opInexact;
+
+ const unsigned NumTests = 169;
+ struct {
+ APFloat x;
+ APFloat y;
+ const char *result;
+ int status;
+ int category;
+ } SpecialCaseTests[NumTests] = {
+ { PInf, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { PInf, PZero, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MZero, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+ // See Note 1.
+ { PInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PInf, PNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, PLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, PSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, PSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { MInf, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, PZero, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MZero, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+ // See Note 1.
+ { MInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MInf, PNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, PLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, PSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, PSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PZero, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PZero, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PZero, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+ // See Note 1.
+ { PZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PZero, PNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { PZero, MNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { PZero, PLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { PZero, MLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { PZero, PSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { PZero, MSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { PZero, PSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { PZero, MSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { MZero, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MZero, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MZero, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+ // See Note 1.
+ { MZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MZero, PNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { MZero, MNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { MZero, PLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { MZero, MLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { MZero, PSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { MZero, MSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { MZero, PSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { MZero, MSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { QNaN, PInf, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MInf, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, PZero, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MZero, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+ // See Note 1.
+ { QNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { QNaN, PNormalValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MNormalValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, PLargestValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MLargestValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, PSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, PSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+ // See Note 1.
+ { SNaN, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, QNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PNormalValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PNormalValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PNormalValue, PZero, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { PNormalValue, MZero, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { PNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+ // See Note 1.
+ { PNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PNormalValue, PNormalValue, "0x1p+1", APFloat::opOK, APFloat::fcNormal },
+ { PNormalValue, MNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PNormalValue, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PNormalValue, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PNormalValue, PSmallestValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { PNormalValue, MSmallestValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { PNormalValue, PSmallestNormalized, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { PNormalValue, MSmallestNormalized, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { MNormalValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MNormalValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MNormalValue, PZero, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { MNormalValue, MZero, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { MNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+ // See Note 1.
+ { MNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MNormalValue, PNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MNormalValue, MNormalValue, "-0x1p+1", APFloat::opOK, APFloat::fcNormal },
+ { MNormalValue, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MNormalValue, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MNormalValue, PSmallestValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { MNormalValue, MSmallestValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { MNormalValue, PSmallestNormalized, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { MNormalValue, MSmallestNormalized, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { PLargestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PLargestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PLargestValue, PZero, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { PLargestValue, MZero, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { PLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+ // See Note 1.
+ { PLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PLargestValue, PNormalValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PLargestValue, MNormalValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PLargestValue, PLargestValue, "inf", OverflowStatus, APFloat::fcInfinity },
+ { PLargestValue, MLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PLargestValue, PSmallestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PLargestValue, MSmallestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PLargestValue, PSmallestNormalized, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PLargestValue, MSmallestNormalized, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MLargestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MLargestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MLargestValue, PZero, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { MLargestValue, MZero, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { MLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+ // See Note 1.
+ { MLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MLargestValue, PNormalValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MLargestValue, MNormalValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MLargestValue, PLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MLargestValue, MLargestValue, "-inf", OverflowStatus, APFloat::fcInfinity },
+ { MLargestValue, PSmallestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MLargestValue, MSmallestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MLargestValue, PSmallestNormalized, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MLargestValue, MSmallestNormalized, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PSmallestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PSmallestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PSmallestValue, PZero, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestValue, MZero, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+ // See Note 1.
+ { PSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PSmallestValue, PNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { PSmallestValue, MNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { PSmallestValue, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PSmallestValue, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PSmallestValue, PSmallestValue, "0x1p-148", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestValue, MSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PSmallestValue, PSmallestNormalized, "0x1.000002p-126", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestValue, MSmallestNormalized, "-0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MSmallestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MSmallestValue, PZero, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, MZero, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+ // See Note 1.
+ { MSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MSmallestValue, PNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { MSmallestValue, MNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { MSmallestValue, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MSmallestValue, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MSmallestValue, PSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MSmallestValue, MSmallestValue, "-0x1p-148", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, PSmallestNormalized, "0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, MSmallestNormalized, "-0x1.000002p-126", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PSmallestNormalized, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PSmallestNormalized, PZero, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, MZero, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PSmallestNormalized, PNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { PSmallestNormalized, MNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { PSmallestNormalized, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PSmallestNormalized, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PSmallestNormalized, PSmallestValue, "0x1.000002p-126", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, MSmallestValue, "0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, PSmallestNormalized, "0x1p-125", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, MSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MSmallestNormalized, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MSmallestNormalized, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MSmallestNormalized, PZero, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, MZero, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+ // See Note 1.
+ { MSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MSmallestNormalized, PNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { MSmallestNormalized, MNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { MSmallestNormalized, PLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MSmallestNormalized, MLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MSmallestNormalized, PSmallestValue, "-0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, MSmallestValue, "-0x1.000002p-126", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, PSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MSmallestNormalized, MSmallestNormalized, "-0x1p-125", APFloat::opOK, APFloat::fcNormal }
+ };
+
+ for (size_t i = 0; i < NumTests; ++i) {
+ APFloat x(SpecialCaseTests[i].x);
+ APFloat y(SpecialCaseTests[i].y);
+ APFloat::opStatus status = x.add(y, APFloat::rmNearestTiesToEven);
+
+ APFloat result(APFloat::IEEEsingle, SpecialCaseTests[i].result);
+
+ EXPECT_TRUE(result.bitwiseIsEqual(x));
+ EXPECT_TRUE((int)status == SpecialCaseTests[i].status);
+ EXPECT_TRUE((int)x.getCategory() == SpecialCaseTests[i].category);
+ }
+}
+
+TEST(APFloatTest, subtract) {
+ // Test Special Cases against each other and normal values.
+
+ // TODOS/NOTES:
+ // 1. Since we perform only default exception handling all operations with
+ // signaling NaNs should have a result that is a quiet NaN. Currently they
+ // return sNaN.
+
+ APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false);
+ APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true);
+ APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false);
+ APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true);
+ APFloat QNaN = APFloat::getNaN(APFloat::IEEEsingle, false);
+ APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle, false);
+ APFloat PNormalValue = APFloat(APFloat::IEEEsingle, "0x1p+0");
+ APFloat MNormalValue = APFloat(APFloat::IEEEsingle, "-0x1p+0");
+ APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle, false);
+ APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle, true);
+ APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, false);
+ APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, true);
+ APFloat PSmallestNormalized =
+ APFloat::getSmallestNormalized(APFloat::IEEEsingle, false);
+ APFloat MSmallestNormalized =
+ APFloat::getSmallestNormalized(APFloat::IEEEsingle, true);
+
+ const int OverflowStatus = APFloat::opOverflow | APFloat::opInexact;
+
+ const unsigned NumTests = 169;
+ struct {
+ APFloat x;
+ APFloat y;
+ const char *result;
+ int status;
+ int category;
+ } SpecialCaseTests[NumTests] = {
+ { PInf, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { PInf, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, PZero, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MZero, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PInf, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PInf, PNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, PLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, PSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, PSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { MInf, PZero, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MZero, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { MInf, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MInf, PNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, PLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, PSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, PSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PZero, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PZero, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PZero, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PZero, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PZero, PNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { PZero, MNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { PZero, PLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { PZero, MLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { PZero, PSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { PZero, MSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { PZero, PSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { PZero, MSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { MZero, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MZero, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MZero, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { MZero, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MZero, PNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { MZero, MNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { MZero, PLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { MZero, MLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { MZero, PSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { MZero, MSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { MZero, PSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { MZero, MSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { QNaN, PInf, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MInf, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, PZero, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MZero, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { QNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { QNaN, PNormalValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MNormalValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, PLargestValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MLargestValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, PSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, PSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { SNaN, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, QNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PNormalValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PNormalValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PNormalValue, PZero, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { PNormalValue, MZero, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { PNormalValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PNormalValue, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PNormalValue, PNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PNormalValue, MNormalValue, "0x1p+1", APFloat::opOK, APFloat::fcNormal },
+ { PNormalValue, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PNormalValue, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PNormalValue, PSmallestValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { PNormalValue, MSmallestValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { PNormalValue, PSmallestNormalized, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { PNormalValue, MSmallestNormalized, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { MNormalValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MNormalValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MNormalValue, PZero, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { MNormalValue, MZero, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { MNormalValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { MNormalValue, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MNormalValue, PNormalValue, "-0x1p+1", APFloat::opOK, APFloat::fcNormal },
+ { MNormalValue, MNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MNormalValue, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MNormalValue, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MNormalValue, PSmallestValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { MNormalValue, MSmallestValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { MNormalValue, PSmallestNormalized, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { MNormalValue, MSmallestNormalized, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { PLargestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PLargestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PLargestValue, PZero, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { PLargestValue, MZero, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { PLargestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PLargestValue, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PLargestValue, PNormalValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PLargestValue, MNormalValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PLargestValue, PLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PLargestValue, MLargestValue, "inf", OverflowStatus, APFloat::fcInfinity },
+ { PLargestValue, PSmallestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PLargestValue, MSmallestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PLargestValue, PSmallestNormalized, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PLargestValue, MSmallestNormalized, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MLargestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MLargestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MLargestValue, PZero, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { MLargestValue, MZero, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { MLargestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { MLargestValue, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MLargestValue, PNormalValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MLargestValue, MNormalValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MLargestValue, PLargestValue, "-inf", OverflowStatus, APFloat::fcInfinity },
+ { MLargestValue, MLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MLargestValue, PSmallestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MLargestValue, MSmallestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MLargestValue, PSmallestNormalized, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MLargestValue, MSmallestNormalized, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PSmallestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PSmallestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PSmallestValue, PZero, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestValue, MZero, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PSmallestValue, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PSmallestValue, PNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { PSmallestValue, MNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { PSmallestValue, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PSmallestValue, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PSmallestValue, PSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PSmallestValue, MSmallestValue, "0x1p-148", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestValue, PSmallestNormalized, "-0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestValue, MSmallestNormalized, "0x1.000002p-126", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MSmallestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MSmallestValue, PZero, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, MZero, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { MSmallestValue, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MSmallestValue, PNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { MSmallestValue, MNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { MSmallestValue, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MSmallestValue, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MSmallestValue, PSmallestValue, "-0x1p-148", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, MSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MSmallestValue, PSmallestNormalized, "-0x1.000002p-126", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, MSmallestNormalized, "0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PSmallestNormalized, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PSmallestNormalized, PZero, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, MZero, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PSmallestNormalized, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PSmallestNormalized, PNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { PSmallestNormalized, MNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { PSmallestNormalized, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PSmallestNormalized, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { PSmallestNormalized, PSmallestValue, "0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, MSmallestValue, "0x1.000002p-126", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, PSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PSmallestNormalized, MSmallestNormalized, "0x1p-125", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MSmallestNormalized, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MSmallestNormalized, PZero, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, MZero, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, QNaN, "-nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { MSmallestNormalized, SNaN, "-nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MSmallestNormalized, PNormalValue, "-0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { MSmallestNormalized, MNormalValue, "0x1p+0", APFloat::opInexact, APFloat::fcNormal },
+ { MSmallestNormalized, PLargestValue, "-0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MSmallestNormalized, MLargestValue, "0x1.fffffep+127", APFloat::opInexact, APFloat::fcNormal },
+ { MSmallestNormalized, PSmallestValue, "-0x1.000002p-126", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, MSmallestValue, "-0x1.fffffcp-127", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, PSmallestNormalized, "-0x1p-125", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, MSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero }
+ };
+
+ for (size_t i = 0; i < NumTests; ++i) {
+ APFloat x(SpecialCaseTests[i].x);
+ APFloat y(SpecialCaseTests[i].y);
+ APFloat::opStatus status = x.subtract(y, APFloat::rmNearestTiesToEven);
+
+ APFloat result(APFloat::IEEEsingle, SpecialCaseTests[i].result);
+
+ EXPECT_TRUE(result.bitwiseIsEqual(x));
+ EXPECT_TRUE((int)status == SpecialCaseTests[i].status);
+ EXPECT_TRUE((int)x.getCategory() == SpecialCaseTests[i].category);
+ }
+}
+
+TEST(APFloatTest, multiply) {
+ // Test Special Cases against each other and normal values.
+
+ // TODOS/NOTES:
+ // 1. Since we perform only default exception handling all operations with
+ // signaling NaNs should have a result that is a quiet NaN. Currently they
+ // return sNaN.
+
+ APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false);
+ APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true);
+ APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false);
+ APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true);
+ APFloat QNaN = APFloat::getNaN(APFloat::IEEEsingle, false);
+ APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle, false);
+ APFloat PNormalValue = APFloat(APFloat::IEEEsingle, "0x1p+0");
+ APFloat MNormalValue = APFloat(APFloat::IEEEsingle, "-0x1p+0");
+ APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle, false);
+ APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle, true);
+ APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, false);
+ APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, true);
+ APFloat PSmallestNormalized =
+ APFloat::getSmallestNormalized(APFloat::IEEEsingle, false);
+ APFloat MSmallestNormalized =
+ APFloat::getSmallestNormalized(APFloat::IEEEsingle, true);
+
+ const int OverflowStatus = APFloat::opOverflow | APFloat::opInexact;
+ const int UnderflowStatus = APFloat::opUnderflow | APFloat::opInexact;
+
+ const unsigned NumTests = 169;
+ struct {
+ APFloat x;
+ APFloat y;
+ const char *result;
+ int status;
+ int category;
+ } SpecialCaseTests[NumTests] = {
+ { PInf, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { PInf, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { PInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PInf, PNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, PLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, PSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, PSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { MInf, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { MInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { MInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MInf, PNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, PLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, PSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, PSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PZero, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { PZero, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { PZero, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PZero, PNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, MNormalValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, PLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, MLargestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, PSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, MSmallestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, PSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, MSmallestNormalized, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { MZero, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { MZero, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { MZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MZero, PNormalValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, MNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, PLargestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, MLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, PSmallestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, MSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, PSmallestNormalized, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, MSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { QNaN, PInf, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MInf, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, PZero, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MZero, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { QNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { QNaN, PNormalValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MNormalValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, PLargestValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MLargestValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, PSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, PSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { SNaN, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, QNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PNormalValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PNormalValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PNormalValue, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PNormalValue, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PNormalValue, PNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { PNormalValue, MNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { PNormalValue, PLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { PNormalValue, MLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { PNormalValue, PSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { PNormalValue, MSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { PNormalValue, PSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { PNormalValue, MSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { MNormalValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MNormalValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MNormalValue, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MNormalValue, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { MNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MNormalValue, PNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { MNormalValue, MNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { MNormalValue, PLargestValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { MNormalValue, MLargestValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { MNormalValue, PSmallestValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { MNormalValue, MSmallestValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { MNormalValue, PSmallestNormalized, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { MNormalValue, MSmallestNormalized, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { PLargestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PLargestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PLargestValue, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PLargestValue, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PLargestValue, PNormalValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { PLargestValue, MNormalValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { PLargestValue, PLargestValue, "inf", OverflowStatus, APFloat::fcInfinity },
+ { PLargestValue, MLargestValue, "-inf", OverflowStatus, APFloat::fcInfinity },
+ { PLargestValue, PSmallestValue, "0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal },
+ { PLargestValue, MSmallestValue, "-0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal },
+ { PLargestValue, PSmallestNormalized, "0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal },
+ { PLargestValue, MSmallestNormalized, "-0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal },
+ { MLargestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MLargestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MLargestValue, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MLargestValue, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { MLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MLargestValue, PNormalValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { MLargestValue, MNormalValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { MLargestValue, PLargestValue, "-inf", OverflowStatus, APFloat::fcInfinity },
+ { MLargestValue, MLargestValue, "inf", OverflowStatus, APFloat::fcInfinity },
+ { MLargestValue, PSmallestValue, "-0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal },
+ { MLargestValue, MSmallestValue, "0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal },
+ { MLargestValue, PSmallestNormalized, "-0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal },
+ { MLargestValue, MSmallestNormalized, "0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestValue, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PSmallestValue, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PSmallestValue, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PSmallestValue, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PSmallestValue, PNormalValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestValue, MNormalValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestValue, PLargestValue, "0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestValue, MLargestValue, "-0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestValue, PSmallestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { PSmallestValue, MSmallestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { PSmallestValue, PSmallestNormalized, "0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { PSmallestValue, MSmallestNormalized, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { MSmallestValue, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MSmallestValue, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MSmallestValue, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MSmallestValue, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { MSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MSmallestValue, PNormalValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, MNormalValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, PLargestValue, "-0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, MLargestValue, "0x1.fffffep-22", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, PSmallestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { MSmallestValue, MSmallestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { MSmallestValue, PSmallestNormalized, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { MSmallestValue, MSmallestNormalized, "0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { PSmallestNormalized, PInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PSmallestNormalized, MInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PSmallestNormalized, PZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PSmallestNormalized, MZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PSmallestNormalized, PNormalValue, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, MNormalValue, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, PLargestValue, "0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, MLargestValue, "-0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, PSmallestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { PSmallestNormalized, MSmallestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { PSmallestNormalized, PSmallestNormalized, "0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { PSmallestNormalized, MSmallestNormalized, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { MSmallestNormalized, PInf, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MSmallestNormalized, MInf, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MSmallestNormalized, PZero, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MSmallestNormalized, MZero, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { MSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MSmallestNormalized, PNormalValue, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, MNormalValue, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, PLargestValue, "-0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, MLargestValue, "0x1.fffffep+1", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, PSmallestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { MSmallestNormalized, MSmallestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { MSmallestNormalized, PSmallestNormalized, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { MSmallestNormalized, MSmallestNormalized, "0x0p+0", UnderflowStatus, APFloat::fcZero }
+ };
+
+ for (size_t i = 0; i < NumTests; ++i) {
+ APFloat x(SpecialCaseTests[i].x);
+ APFloat y(SpecialCaseTests[i].y);
+ APFloat::opStatus status = x.multiply(y, APFloat::rmNearestTiesToEven);
+
+ APFloat result(APFloat::IEEEsingle, SpecialCaseTests[i].result);
+
+ EXPECT_TRUE(result.bitwiseIsEqual(x));
+ EXPECT_TRUE((int)status == SpecialCaseTests[i].status);
+ EXPECT_TRUE((int)x.getCategory() == SpecialCaseTests[i].category);
+ }
+}
+
+TEST(APFloatTest, divide) {
+ // Test Special Cases against each other and normal values.
+
+ // TODOS/NOTES:
+ // 1. Since we perform only default exception handling all operations with
+ // signaling NaNs should have a result that is a quiet NaN. Currently they
+ // return sNaN.
+
+ APFloat PInf = APFloat::getInf(APFloat::IEEEsingle, false);
+ APFloat MInf = APFloat::getInf(APFloat::IEEEsingle, true);
+ APFloat PZero = APFloat::getZero(APFloat::IEEEsingle, false);
+ APFloat MZero = APFloat::getZero(APFloat::IEEEsingle, true);
+ APFloat QNaN = APFloat::getNaN(APFloat::IEEEsingle, false);
+ APFloat SNaN = APFloat::getSNaN(APFloat::IEEEsingle, false);
+ APFloat PNormalValue = APFloat(APFloat::IEEEsingle, "0x1p+0");
+ APFloat MNormalValue = APFloat(APFloat::IEEEsingle, "-0x1p+0");
+ APFloat PLargestValue = APFloat::getLargest(APFloat::IEEEsingle, false);
+ APFloat MLargestValue = APFloat::getLargest(APFloat::IEEEsingle, true);
+ APFloat PSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, false);
+ APFloat MSmallestValue = APFloat::getSmallest(APFloat::IEEEsingle, true);
+ APFloat PSmallestNormalized =
+ APFloat::getSmallestNormalized(APFloat::IEEEsingle, false);
+ APFloat MSmallestNormalized =
+ APFloat::getSmallestNormalized(APFloat::IEEEsingle, true);
+
+ const int OverflowStatus = APFloat::opOverflow | APFloat::opInexact;
+ const int UnderflowStatus = APFloat::opUnderflow | APFloat::opInexact;
+
+ const unsigned NumTests = 169;
+ struct {
+ APFloat x;
+ APFloat y;
+ const char *result;
+ int status;
+ int category;
+ } SpecialCaseTests[NumTests] = {
+ { PInf, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { PInf, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { PInf, PZero, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MZero, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PInf, PNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, PLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, PSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, PSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PInf, MSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { MInf, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { MInf, PZero, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MZero, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { MInf, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MInf, PNormalValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MNormalValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, PLargestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MLargestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, PSmallestValue, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MSmallestValue, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, PSmallestNormalized, "-inf", APFloat::opOK, APFloat::fcInfinity },
+ { MInf, MSmallestNormalized, "inf", APFloat::opOK, APFloat::fcInfinity },
+ { PZero, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { PZero, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { PZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PZero, PNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, MNormalValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, PLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, MLargestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, PSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, MSmallestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, PSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PZero, MSmallestNormalized, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { MZero, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { MZero, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { MZero, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MZero, PNormalValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, MNormalValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, PLargestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, MLargestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, PSmallestValue, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, MSmallestValue, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, PSmallestNormalized, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MZero, MSmallestNormalized, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { QNaN, PInf, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MInf, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, PZero, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MZero, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { QNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { QNaN, PNormalValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MNormalValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, PLargestValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MLargestValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, PSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MSmallestValue, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, PSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN },
+ { QNaN, MSmallestNormalized, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { SNaN, PInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MInf, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MZero, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, QNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MNormalValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MLargestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MSmallestValue, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, PSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+ { SNaN, MSmallestNormalized, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PNormalValue, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PNormalValue, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PNormalValue, PZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity },
+ { PNormalValue, MZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity },
+ { PNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PNormalValue, PNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { PNormalValue, MNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { PNormalValue, PLargestValue, "0x1p-128", UnderflowStatus, APFloat::fcNormal },
+ { PNormalValue, MLargestValue, "-0x1p-128", UnderflowStatus, APFloat::fcNormal },
+ { PNormalValue, PSmallestValue, "inf", OverflowStatus, APFloat::fcInfinity },
+ { PNormalValue, MSmallestValue, "-inf", OverflowStatus, APFloat::fcInfinity },
+ { PNormalValue, PSmallestNormalized, "0x1p+126", APFloat::opOK, APFloat::fcNormal },
+ { PNormalValue, MSmallestNormalized, "-0x1p+126", APFloat::opOK, APFloat::fcNormal },
+ { MNormalValue, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MNormalValue, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MNormalValue, PZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity },
+ { MNormalValue, MZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity },
+ { MNormalValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { MNormalValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MNormalValue, PNormalValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { MNormalValue, MNormalValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { MNormalValue, PLargestValue, "-0x1p-128", UnderflowStatus, APFloat::fcNormal },
+ { MNormalValue, MLargestValue, "0x1p-128", UnderflowStatus, APFloat::fcNormal },
+ { MNormalValue, PSmallestValue, "-inf", OverflowStatus, APFloat::fcInfinity },
+ { MNormalValue, MSmallestValue, "inf", OverflowStatus, APFloat::fcInfinity },
+ { MNormalValue, PSmallestNormalized, "-0x1p+126", APFloat::opOK, APFloat::fcNormal },
+ { MNormalValue, MSmallestNormalized, "0x1p+126", APFloat::opOK, APFloat::fcNormal },
+ { PLargestValue, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PLargestValue, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PLargestValue, PZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity },
+ { PLargestValue, MZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity },
+ { PLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PLargestValue, PNormalValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { PLargestValue, MNormalValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { PLargestValue, PLargestValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { PLargestValue, MLargestValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { PLargestValue, PSmallestValue, "inf", OverflowStatus, APFloat::fcInfinity },
+ { PLargestValue, MSmallestValue, "-inf", OverflowStatus, APFloat::fcInfinity },
+ { PLargestValue, PSmallestNormalized, "inf", OverflowStatus, APFloat::fcInfinity },
+ { PLargestValue, MSmallestNormalized, "-inf", OverflowStatus, APFloat::fcInfinity },
+ { MLargestValue, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MLargestValue, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MLargestValue, PZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity },
+ { MLargestValue, MZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity },
+ { MLargestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { MLargestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MLargestValue, PNormalValue, "-0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { MLargestValue, MNormalValue, "0x1.fffffep+127", APFloat::opOK, APFloat::fcNormal },
+ { MLargestValue, PLargestValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { MLargestValue, MLargestValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { MLargestValue, PSmallestValue, "-inf", OverflowStatus, APFloat::fcInfinity },
+ { MLargestValue, MSmallestValue, "inf", OverflowStatus, APFloat::fcInfinity },
+ { MLargestValue, PSmallestNormalized, "-inf", OverflowStatus, APFloat::fcInfinity },
+ { MLargestValue, MSmallestNormalized, "inf", OverflowStatus, APFloat::fcInfinity },
+ { PSmallestValue, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PSmallestValue, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PSmallestValue, PZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity },
+ { PSmallestValue, MZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity },
+ { PSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PSmallestValue, PNormalValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestValue, MNormalValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestValue, PLargestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { PSmallestValue, MLargestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { PSmallestValue, PSmallestValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestValue, MSmallestValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestValue, PSmallestNormalized, "0x1p-23", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestValue, MSmallestNormalized, "-0x1p-23", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MSmallestValue, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MSmallestValue, PZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity },
+ { MSmallestValue, MZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity },
+ { MSmallestValue, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { MSmallestValue, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MSmallestValue, PNormalValue, "-0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, MNormalValue, "0x1p-149", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, PLargestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { MSmallestValue, MLargestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { MSmallestValue, PSmallestValue, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, MSmallestValue, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, PSmallestNormalized, "-0x1p-23", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestValue, MSmallestNormalized, "0x1p-23", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, PInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PSmallestNormalized, MInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { PSmallestNormalized, PZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity },
+ { PSmallestNormalized, MZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity },
+ { PSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { PSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { PSmallestNormalized, PNormalValue, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, MNormalValue, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, PLargestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { PSmallestNormalized, MLargestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { PSmallestNormalized, PSmallestValue, "0x1p+23", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, MSmallestValue, "-0x1p+23", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, PSmallestNormalized, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { PSmallestNormalized, MSmallestNormalized, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, PInf, "-0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MSmallestNormalized, MInf, "0x0p+0", APFloat::opOK, APFloat::fcZero },
+ { MSmallestNormalized, PZero, "-inf", APFloat::opDivByZero, APFloat::fcInfinity },
+ { MSmallestNormalized, MZero, "inf", APFloat::opDivByZero, APFloat::fcInfinity },
+ { MSmallestNormalized, QNaN, "nan", APFloat::opOK, APFloat::fcNaN },
+#if 0
+// See Note 1.
+ { MSmallestNormalized, SNaN, "nan", APFloat::opInvalidOp, APFloat::fcNaN },
+#endif
+ { MSmallestNormalized, PNormalValue, "-0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, MNormalValue, "0x1p-126", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, PLargestValue, "-0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { MSmallestNormalized, MLargestValue, "0x0p+0", UnderflowStatus, APFloat::fcZero },
+ { MSmallestNormalized, PSmallestValue, "-0x1p+23", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, MSmallestValue, "0x1p+23", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, PSmallestNormalized, "-0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ { MSmallestNormalized, MSmallestNormalized, "0x1p+0", APFloat::opOK, APFloat::fcNormal },
+ };
+
+ for (size_t i = 0; i < NumTests; ++i) {
+ APFloat x(SpecialCaseTests[i].x);
+ APFloat y(SpecialCaseTests[i].y);
+ APFloat::opStatus status = x.divide(y, APFloat::rmNearestTiesToEven);
+
+ APFloat result(APFloat::IEEEsingle, SpecialCaseTests[i].result);
+
+ EXPECT_TRUE(result.bitwiseIsEqual(x));
+ EXPECT_TRUE((int)status == SpecialCaseTests[i].status);
+ EXPECT_TRUE((int)x.getCategory() == SpecialCaseTests[i].category);
+ }
}
}