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-rw-r--r--mfbt/tests/TestFloatingPoint.cpp592
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diff --git a/mfbt/tests/TestFloatingPoint.cpp b/mfbt/tests/TestFloatingPoint.cpp
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+++ b/mfbt/tests/TestFloatingPoint.cpp
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+/* -*- Mode: C++; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 2 -*- */
+/* vim: set ts=8 sts=2 et sw=2 tw=80: */
+/* This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this file,
+ * You can obtain one at http://mozilla.org/MPL/2.0/. */
+
+#include "mozilla/FloatingPoint.h"
+
+#include <math.h>
+
+using mozilla::ExponentComponent;
+using mozilla::FloatingPoint;
+using mozilla::FuzzyEqualsAdditive;
+using mozilla::FuzzyEqualsMultiplicative;
+using mozilla::IsFinite;
+using mozilla::IsInfinite;
+using mozilla::IsNaN;
+using mozilla::IsNegative;
+using mozilla::IsNegativeZero;
+using mozilla::IsPositiveZero;
+using mozilla::NegativeInfinity;
+using mozilla::NumberEqualsInt32;
+using mozilla::NumberIsInt32;
+using mozilla::NumbersAreIdentical;
+using mozilla::PositiveInfinity;
+using mozilla::SpecificNaN;
+using mozilla::UnspecifiedNaN;
+
+#define A(a) MOZ_RELEASE_ASSERT(a)
+
+template<typename T>
+static void
+ShouldBeIdentical(T aD1, T aD2)
+{
+ A(NumbersAreIdentical(aD1, aD2));
+ A(NumbersAreIdentical(aD2, aD1));
+}
+
+template<typename T>
+static void
+ShouldNotBeIdentical(T aD1, T aD2)
+{
+ A(!NumbersAreIdentical(aD1, aD2));
+ A(!NumbersAreIdentical(aD2, aD1));
+}
+
+static void
+TestDoublesAreIdentical()
+{
+ ShouldBeIdentical(+0.0, +0.0);
+ ShouldBeIdentical(-0.0, -0.0);
+ ShouldNotBeIdentical(+0.0, -0.0);
+
+ ShouldBeIdentical(1.0, 1.0);
+ ShouldNotBeIdentical(-1.0, 1.0);
+ ShouldBeIdentical(4294967295.0, 4294967295.0);
+ ShouldNotBeIdentical(-4294967295.0, 4294967295.0);
+ ShouldBeIdentical(4294967296.0, 4294967296.0);
+ ShouldBeIdentical(4294967297.0, 4294967297.0);
+ ShouldBeIdentical(1e300, 1e300);
+
+ ShouldBeIdentical(PositiveInfinity<double>(), PositiveInfinity<double>());
+ ShouldBeIdentical(NegativeInfinity<double>(), NegativeInfinity<double>());
+ ShouldNotBeIdentical(PositiveInfinity<double>(), NegativeInfinity<double>());
+
+ ShouldNotBeIdentical(-0.0, NegativeInfinity<double>());
+ ShouldNotBeIdentical(+0.0, NegativeInfinity<double>());
+ ShouldNotBeIdentical(1e300, NegativeInfinity<double>());
+ ShouldNotBeIdentical(3.141592654, NegativeInfinity<double>());
+
+ ShouldBeIdentical(UnspecifiedNaN<double>(), UnspecifiedNaN<double>());
+ ShouldBeIdentical(-UnspecifiedNaN<double>(), UnspecifiedNaN<double>());
+ ShouldBeIdentical(UnspecifiedNaN<double>(), -UnspecifiedNaN<double>());
+
+ ShouldBeIdentical(SpecificNaN<double>(0, 17), SpecificNaN<double>(0, 42));
+ ShouldBeIdentical(SpecificNaN<double>(1, 17), SpecificNaN<double>(1, 42));
+ ShouldBeIdentical(SpecificNaN<double>(0, 17), SpecificNaN<double>(1, 42));
+ ShouldBeIdentical(SpecificNaN<double>(1, 17), SpecificNaN<double>(0, 42));
+
+ const uint64_t Mask = 0xfffffffffffffULL;
+ for (unsigned i = 0; i < 52; i++) {
+ for (unsigned j = 0; j < 52; j++) {
+ for (unsigned sign = 0; i < 2; i++) {
+ ShouldBeIdentical(SpecificNaN<double>(0, 1ULL << i),
+ SpecificNaN<double>(sign, 1ULL << j));
+ ShouldBeIdentical(SpecificNaN<double>(1, 1ULL << i),
+ SpecificNaN<double>(sign, 1ULL << j));
+
+ ShouldBeIdentical(SpecificNaN<double>(0, Mask & ~(1ULL << i)),
+ SpecificNaN<double>(sign, Mask & ~(1ULL << j)));
+ ShouldBeIdentical(SpecificNaN<double>(1, Mask & ~(1ULL << i)),
+ SpecificNaN<double>(sign, Mask & ~(1ULL << j)));
+ }
+ }
+ }
+ ShouldBeIdentical(SpecificNaN<double>(0, 17),
+ SpecificNaN<double>(0, 0x8000000000000ULL));
+ ShouldBeIdentical(SpecificNaN<double>(0, 17),
+ SpecificNaN<double>(0, 0x4000000000000ULL));
+ ShouldBeIdentical(SpecificNaN<double>(0, 17),
+ SpecificNaN<double>(0, 0x2000000000000ULL));
+ ShouldBeIdentical(SpecificNaN<double>(0, 17),
+ SpecificNaN<double>(0, 0x1000000000000ULL));
+ ShouldBeIdentical(SpecificNaN<double>(0, 17),
+ SpecificNaN<double>(0, 0x0800000000000ULL));
+ ShouldBeIdentical(SpecificNaN<double>(0, 17),
+ SpecificNaN<double>(0, 0x0400000000000ULL));
+ ShouldBeIdentical(SpecificNaN<double>(0, 17),
+ SpecificNaN<double>(0, 0x0200000000000ULL));
+ ShouldBeIdentical(SpecificNaN<double>(0, 17),
+ SpecificNaN<double>(0, 0x0100000000000ULL));
+ ShouldBeIdentical(SpecificNaN<double>(0, 17),
+ SpecificNaN<double>(0, 0x0080000000000ULL));
+ ShouldBeIdentical(SpecificNaN<double>(0, 17),
+ SpecificNaN<double>(0, 0x0040000000000ULL));
+ ShouldBeIdentical(SpecificNaN<double>(0, 17),
+ SpecificNaN<double>(0, 0x0020000000000ULL));
+ ShouldBeIdentical(SpecificNaN<double>(0, 17),
+ SpecificNaN<double>(0, 0x0010000000000ULL));
+ ShouldBeIdentical(SpecificNaN<double>(1, 17),
+ SpecificNaN<double>(0, 0xff0ffffffffffULL));
+ ShouldBeIdentical(SpecificNaN<double>(1, 17),
+ SpecificNaN<double>(0, 0xfffffffffff0fULL));
+
+ ShouldNotBeIdentical(UnspecifiedNaN<double>(), +0.0);
+ ShouldNotBeIdentical(UnspecifiedNaN<double>(), -0.0);
+ ShouldNotBeIdentical(UnspecifiedNaN<double>(), 1.0);
+ ShouldNotBeIdentical(UnspecifiedNaN<double>(), -1.0);
+ ShouldNotBeIdentical(UnspecifiedNaN<double>(), PositiveInfinity<double>());
+ ShouldNotBeIdentical(UnspecifiedNaN<double>(), NegativeInfinity<double>());
+}
+
+static void
+TestFloatsAreIdentical()
+{
+ ShouldBeIdentical(+0.0f, +0.0f);
+ ShouldBeIdentical(-0.0f, -0.0f);
+ ShouldNotBeIdentical(+0.0f, -0.0f);
+
+ ShouldBeIdentical(1.0f, 1.0f);
+ ShouldNotBeIdentical(-1.0f, 1.0f);
+ ShouldBeIdentical(8388607.0f, 8388607.0f);
+ ShouldNotBeIdentical(-8388607.0f, 8388607.0f);
+ ShouldBeIdentical(8388608.0f, 8388608.0f);
+ ShouldBeIdentical(8388609.0f, 8388609.0f);
+ ShouldBeIdentical(1e36f, 1e36f);
+
+ ShouldBeIdentical(PositiveInfinity<float>(), PositiveInfinity<float>());
+ ShouldBeIdentical(NegativeInfinity<float>(), NegativeInfinity<float>());
+ ShouldNotBeIdentical(PositiveInfinity<float>(), NegativeInfinity<float>());
+
+ ShouldNotBeIdentical(-0.0f, NegativeInfinity<float>());
+ ShouldNotBeIdentical(+0.0f, NegativeInfinity<float>());
+ ShouldNotBeIdentical(1e36f, NegativeInfinity<float>());
+ ShouldNotBeIdentical(3.141592654f, NegativeInfinity<float>());
+
+ ShouldBeIdentical(UnspecifiedNaN<float>(), UnspecifiedNaN<float>());
+ ShouldBeIdentical(-UnspecifiedNaN<float>(), UnspecifiedNaN<float>());
+ ShouldBeIdentical(UnspecifiedNaN<float>(), -UnspecifiedNaN<float>());
+
+ ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 42));
+ ShouldBeIdentical(SpecificNaN<float>(1, 17), SpecificNaN<float>(1, 42));
+ ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(1, 42));
+ ShouldBeIdentical(SpecificNaN<float>(1, 17), SpecificNaN<float>(0, 42));
+
+ const uint32_t Mask = 0x7fffffUL;
+ for (unsigned i = 0; i < 23; i++) {
+ for (unsigned j = 0; j < 23; j++) {
+ for (unsigned sign = 0; i < 2; i++) {
+ ShouldBeIdentical(SpecificNaN<float>(0, 1UL << i),
+ SpecificNaN<float>(sign, 1UL << j));
+ ShouldBeIdentical(SpecificNaN<float>(1, 1UL << i),
+ SpecificNaN<float>(sign, 1UL << j));
+
+ ShouldBeIdentical(SpecificNaN<float>(0, Mask & ~(1UL << i)),
+ SpecificNaN<float>(sign, Mask & ~(1UL << j)));
+ ShouldBeIdentical(SpecificNaN<float>(1, Mask & ~(1UL << i)),
+ SpecificNaN<float>(sign, Mask & ~(1UL << j)));
+ }
+ }
+ }
+ ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x700000));
+ ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x400000));
+ ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x200000));
+ ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x100000));
+ ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x080000));
+ ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x040000));
+ ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x020000));
+ ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x010000));
+ ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x008000));
+ ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x004000));
+ ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x002000));
+ ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x001000));
+ ShouldBeIdentical(SpecificNaN<float>(1, 17), SpecificNaN<float>(0, 0x7f0fff));
+ ShouldBeIdentical(SpecificNaN<float>(1, 17), SpecificNaN<float>(0, 0x7fff0f));
+
+ ShouldNotBeIdentical(UnspecifiedNaN<float>(), +0.0f);
+ ShouldNotBeIdentical(UnspecifiedNaN<float>(), -0.0f);
+ ShouldNotBeIdentical(UnspecifiedNaN<float>(), 1.0f);
+ ShouldNotBeIdentical(UnspecifiedNaN<float>(), -1.0f);
+ ShouldNotBeIdentical(UnspecifiedNaN<float>(), PositiveInfinity<float>());
+ ShouldNotBeIdentical(UnspecifiedNaN<float>(), NegativeInfinity<float>());
+}
+
+static void
+TestAreIdentical()
+{
+ TestDoublesAreIdentical();
+ TestFloatsAreIdentical();
+}
+
+static void
+TestDoubleExponentComponent()
+{
+ A(ExponentComponent(0.0) ==
+ -int_fast16_t(FloatingPoint<double>::kExponentBias));
+ A(ExponentComponent(-0.0) ==
+ -int_fast16_t(FloatingPoint<double>::kExponentBias));
+ A(ExponentComponent(0.125) == -3);
+ A(ExponentComponent(0.5) == -1);
+ A(ExponentComponent(1.0) == 0);
+ A(ExponentComponent(1.5) == 0);
+ A(ExponentComponent(2.0) == 1);
+ A(ExponentComponent(7.0) == 2);
+ A(ExponentComponent(PositiveInfinity<double>()) ==
+ FloatingPoint<double>::kExponentBias + 1);
+ A(ExponentComponent(NegativeInfinity<double>()) ==
+ FloatingPoint<double>::kExponentBias + 1);
+ A(ExponentComponent(UnspecifiedNaN<double>()) ==
+ FloatingPoint<double>::kExponentBias + 1);
+}
+
+static void
+TestFloatExponentComponent()
+{
+ A(ExponentComponent(0.0f) ==
+ -int_fast16_t(FloatingPoint<float>::kExponentBias));
+ A(ExponentComponent(-0.0f) ==
+ -int_fast16_t(FloatingPoint<float>::kExponentBias));
+ A(ExponentComponent(0.125f) == -3);
+ A(ExponentComponent(0.5f) == -1);
+ A(ExponentComponent(1.0f) == 0);
+ A(ExponentComponent(1.5f) == 0);
+ A(ExponentComponent(2.0f) == 1);
+ A(ExponentComponent(7.0f) == 2);
+ A(ExponentComponent(PositiveInfinity<float>()) ==
+ FloatingPoint<float>::kExponentBias + 1);
+ A(ExponentComponent(NegativeInfinity<float>()) ==
+ FloatingPoint<float>::kExponentBias + 1);
+ A(ExponentComponent(UnspecifiedNaN<float>()) ==
+ FloatingPoint<float>::kExponentBias + 1);
+}
+
+static void
+TestExponentComponent()
+{
+ TestDoubleExponentComponent();
+ TestFloatExponentComponent();
+}
+
+static void
+TestDoublesPredicates()
+{
+ A(IsNaN(UnspecifiedNaN<double>()));
+ A(IsNaN(SpecificNaN<double>(1, 17)));;
+ A(IsNaN(SpecificNaN<double>(0, 0xfffffffffff0fULL)));
+ A(!IsNaN(0.0));
+ A(!IsNaN(-0.0));
+ A(!IsNaN(1.0));
+ A(!IsNaN(PositiveInfinity<double>()));
+ A(!IsNaN(NegativeInfinity<double>()));
+
+ A(IsInfinite(PositiveInfinity<double>()));
+ A(IsInfinite(NegativeInfinity<double>()));
+ A(!IsInfinite(UnspecifiedNaN<double>()));
+ A(!IsInfinite(0.0));
+ A(!IsInfinite(-0.0));
+ A(!IsInfinite(1.0));
+
+ A(!IsFinite(PositiveInfinity<double>()));
+ A(!IsFinite(NegativeInfinity<double>()));
+ A(!IsFinite(UnspecifiedNaN<double>()));
+ A(IsFinite(0.0));
+ A(IsFinite(-0.0));
+ A(IsFinite(1.0));
+
+ A(!IsNegative(PositiveInfinity<double>()));
+ A(IsNegative(NegativeInfinity<double>()));
+ A(IsNegative(-0.0));
+ A(!IsNegative(0.0));
+ A(IsNegative(-1.0));
+ A(!IsNegative(1.0));
+
+ A(!IsNegativeZero(PositiveInfinity<double>()));
+ A(!IsNegativeZero(NegativeInfinity<double>()));
+ A(!IsNegativeZero(SpecificNaN<double>(1, 17)));;
+ A(!IsNegativeZero(SpecificNaN<double>(1, 0xfffffffffff0fULL)));
+ A(!IsNegativeZero(SpecificNaN<double>(0, 17)));;
+ A(!IsNegativeZero(SpecificNaN<double>(0, 0xfffffffffff0fULL)));
+ A(!IsNegativeZero(UnspecifiedNaN<double>()));
+ A(IsNegativeZero(-0.0));
+ A(!IsNegativeZero(0.0));
+ A(!IsNegativeZero(-1.0));
+ A(!IsNegativeZero(1.0));
+
+ int32_t i;
+ A(NumberIsInt32(0.0, &i));
+ A(i == 0);
+ A(!NumberIsInt32(-0.0, &i));
+ A(NumberEqualsInt32(0.0, &i));
+ A(i == 0);
+ A(NumberEqualsInt32(-0.0, &i));
+ A(i == 0);
+ A(NumberIsInt32(double(INT32_MIN), &i));
+ A(i == INT32_MIN);
+ A(NumberIsInt32(double(INT32_MAX), &i));
+ A(i == INT32_MAX);
+ A(NumberEqualsInt32(double(INT32_MIN), &i));
+ A(i == INT32_MIN);
+ A(NumberEqualsInt32(double(INT32_MAX), &i));
+ A(i == INT32_MAX);
+ A(!NumberIsInt32(0.5, &i));
+ A(!NumberIsInt32(double(INT32_MAX) + 0.1, &i));
+ A(!NumberIsInt32(double(INT32_MIN) - 0.1, &i));
+ A(!NumberIsInt32(NegativeInfinity<double>(), &i));
+ A(!NumberIsInt32(PositiveInfinity<double>(), &i));
+ A(!NumberIsInt32(UnspecifiedNaN<double>(), &i));
+ A(!NumberEqualsInt32(0.5, &i));
+ A(!NumberEqualsInt32(double(INT32_MAX) + 0.1, &i));
+ A(!NumberEqualsInt32(double(INT32_MIN) - 0.1, &i));
+ A(!NumberEqualsInt32(NegativeInfinity<double>(), &i));
+ A(!NumberEqualsInt32(PositiveInfinity<double>(), &i));
+ A(!NumberEqualsInt32(UnspecifiedNaN<double>(), &i));
+}
+
+static void
+TestFloatsPredicates()
+{
+ A(IsNaN(UnspecifiedNaN<float>()));
+ A(IsNaN(SpecificNaN<float>(1, 17)));;
+ A(IsNaN(SpecificNaN<float>(0, 0x7fff0fUL)));
+ A(!IsNaN(0.0f));
+ A(!IsNaN(-0.0f));
+ A(!IsNaN(1.0f));
+ A(!IsNaN(PositiveInfinity<float>()));
+ A(!IsNaN(NegativeInfinity<float>()));
+
+ A(IsInfinite(PositiveInfinity<float>()));
+ A(IsInfinite(NegativeInfinity<float>()));
+ A(!IsInfinite(UnspecifiedNaN<float>()));
+ A(!IsInfinite(0.0f));
+ A(!IsInfinite(-0.0f));
+ A(!IsInfinite(1.0f));
+
+ A(!IsFinite(PositiveInfinity<float>()));
+ A(!IsFinite(NegativeInfinity<float>()));
+ A(!IsFinite(UnspecifiedNaN<float>()));
+ A(IsFinite(0.0f));
+ A(IsFinite(-0.0f));
+ A(IsFinite(1.0f));
+
+ A(!IsNegative(PositiveInfinity<float>()));
+ A(IsNegative(NegativeInfinity<float>()));
+ A(IsNegative(-0.0f));
+ A(!IsNegative(0.0f));
+ A(IsNegative(-1.0f));
+ A(!IsNegative(1.0f));
+
+ A(!IsNegativeZero(PositiveInfinity<float>()));
+ A(!IsNegativeZero(NegativeInfinity<float>()));
+ A(!IsNegativeZero(SpecificNaN<float>(1, 17)));;
+ A(!IsNegativeZero(SpecificNaN<float>(1, 0x7fff0fUL)));
+ A(!IsNegativeZero(SpecificNaN<float>(0, 17)));;
+ A(!IsNegativeZero(SpecificNaN<float>(0, 0x7fff0fUL)));
+ A(!IsNegativeZero(UnspecifiedNaN<float>()));
+ A(IsNegativeZero(-0.0f));
+ A(!IsNegativeZero(0.0f));
+ A(!IsNegativeZero(-1.0f));
+ A(!IsNegativeZero(1.0f));
+
+ A(!IsPositiveZero(PositiveInfinity<float>()));
+ A(!IsPositiveZero(NegativeInfinity<float>()));
+ A(!IsPositiveZero(SpecificNaN<float>(1, 17)));;
+ A(!IsPositiveZero(SpecificNaN<float>(1, 0x7fff0fUL)));
+ A(!IsPositiveZero(SpecificNaN<float>(0, 17)));;
+ A(!IsPositiveZero(SpecificNaN<float>(0, 0x7fff0fUL)));
+ A(!IsPositiveZero(UnspecifiedNaN<float>()));
+ A(IsPositiveZero(0.0f));
+ A(!IsPositiveZero(-0.0f));
+ A(!IsPositiveZero(-1.0f));
+ A(!IsPositiveZero(1.0f));
+
+ int32_t i;
+ const int32_t BIG = 2097151;
+ A(NumberIsInt32(0.0f, &i));
+ A(i == 0);
+ A(!NumberIsInt32(-0.0f, &i));
+ A(NumberEqualsInt32(0.0f, &i));
+ A(i == 0);
+ A(NumberEqualsInt32(-0.0f, &i));
+ A(i == 0);
+ A(NumberIsInt32(float(INT32_MIN), &i));
+ A(i == INT32_MIN);
+ A(NumberIsInt32(float(BIG), &i));
+ A(i == BIG);
+ A(NumberEqualsInt32(float(INT32_MIN), &i));
+ A(i == INT32_MIN);
+ A(NumberEqualsInt32(float(BIG), &i));
+ A(i == BIG);
+ A(!NumberIsInt32(0.5f, &i));
+ A(!NumberIsInt32(float(BIG) + 0.1f, &i));
+ A(!NumberIsInt32(NegativeInfinity<float>(), &i));
+ A(!NumberIsInt32(PositiveInfinity<float>(), &i));
+ A(!NumberIsInt32(UnspecifiedNaN<float>(), &i));
+ A(!NumberEqualsInt32(0.5f, &i));
+ A(!NumberEqualsInt32(float(BIG) + 0.1f, &i));
+ A(!NumberEqualsInt32(NegativeInfinity<float>(), &i));
+ A(!NumberEqualsInt32(PositiveInfinity<float>(), &i));
+ A(!NumberEqualsInt32(UnspecifiedNaN<float>(), &i));
+}
+
+static void
+TestPredicates()
+{
+ TestFloatsPredicates();
+ TestDoublesPredicates();
+}
+
+static void
+TestFloatsAreApproximatelyEqual()
+{
+ float epsilon = mozilla::detail::FuzzyEqualsEpsilon<float>::value();
+ float lessThanEpsilon = epsilon / 2.0f;
+ float moreThanEpsilon = epsilon * 2.0f;
+
+ // Additive tests using the default epsilon
+ // ... around 1.0
+ A(FuzzyEqualsAdditive(1.0f, 1.0f + lessThanEpsilon));
+ A(FuzzyEqualsAdditive(1.0f, 1.0f - lessThanEpsilon));
+ A(FuzzyEqualsAdditive(1.0f, 1.0f + epsilon));
+ A(FuzzyEqualsAdditive(1.0f, 1.0f - epsilon));
+ A(!FuzzyEqualsAdditive(1.0f, 1.0f + moreThanEpsilon));
+ A(!FuzzyEqualsAdditive(1.0f, 1.0f - moreThanEpsilon));
+ // ... around 1.0e2 (this is near the upper bound of the range where
+ // adding moreThanEpsilon will still be representable and return false)
+ A(FuzzyEqualsAdditive(1.0e2f, 1.0e2f + lessThanEpsilon));
+ A(FuzzyEqualsAdditive(1.0e2f, 1.0e2f + epsilon));
+ A(!FuzzyEqualsAdditive(1.0e2f, 1.0e2f + moreThanEpsilon));
+ // ... around 1.0e-10
+ A(FuzzyEqualsAdditive(1.0e-10f, 1.0e-10f + lessThanEpsilon));
+ A(FuzzyEqualsAdditive(1.0e-10f, 1.0e-10f + epsilon));
+ A(!FuzzyEqualsAdditive(1.0e-10f, 1.0e-10f + moreThanEpsilon));
+ // ... straddling 0
+ A(FuzzyEqualsAdditive(1.0e-6f, -1.0e-6f));
+ A(!FuzzyEqualsAdditive(1.0e-5f, -1.0e-5f));
+ // Using a small epsilon
+ A(FuzzyEqualsAdditive(1.0e-5f, 1.0e-5f + 1.0e-10f, 1.0e-9f));
+ A(!FuzzyEqualsAdditive(1.0e-5f, 1.0e-5f + 1.0e-10f, 1.0e-11f));
+ // Using a big epsilon
+ A(FuzzyEqualsAdditive(1.0e20f, 1.0e20f + 1.0e15f, 1.0e16f));
+ A(!FuzzyEqualsAdditive(1.0e20f, 1.0e20f + 1.0e15f, 1.0e14f));
+
+ // Multiplicative tests using the default epsilon
+ // ... around 1.0
+ A(FuzzyEqualsMultiplicative(1.0f, 1.0f + lessThanEpsilon));
+ A(FuzzyEqualsMultiplicative(1.0f, 1.0f - lessThanEpsilon));
+ A(FuzzyEqualsMultiplicative(1.0f, 1.0f + epsilon));
+ A(!FuzzyEqualsMultiplicative(1.0f, 1.0f - epsilon));
+ A(!FuzzyEqualsMultiplicative(1.0f, 1.0f + moreThanEpsilon));
+ A(!FuzzyEqualsMultiplicative(1.0f, 1.0f - moreThanEpsilon));
+ // ... around 1.0e10
+ A(FuzzyEqualsMultiplicative(1.0e10f, 1.0e10f + (lessThanEpsilon * 1.0e10f)));
+ A(!FuzzyEqualsMultiplicative(1.0e10f, 1.0e10f + (moreThanEpsilon * 1.0e10f)));
+ // ... around 1.0e-10
+ A(FuzzyEqualsMultiplicative(1.0e-10f,
+ 1.0e-10f + (lessThanEpsilon * 1.0e-10f)));
+ A(!FuzzyEqualsMultiplicative(1.0e-10f,
+ 1.0e-10f + (moreThanEpsilon * 1.0e-10f)));
+ // ... straddling 0
+ A(!FuzzyEqualsMultiplicative(1.0e-6f, -1.0e-6f));
+ A(FuzzyEqualsMultiplicative(1.0e-6f, -1.0e-6f, 1.0e2f));
+ // Using a small epsilon
+ A(FuzzyEqualsMultiplicative(1.0e-5f, 1.0e-5f + 1.0e-10f, 1.0e-4f));
+ A(!FuzzyEqualsMultiplicative(1.0e-5f, 1.0e-5f + 1.0e-10f, 1.0e-5f));
+ // Using a big epsilon
+ A(FuzzyEqualsMultiplicative(1.0f, 2.0f, 1.0f));
+ A(!FuzzyEqualsMultiplicative(1.0f, 2.0f, 0.1f));
+
+ // "real world case"
+ float oneThird = 10.0f / 3.0f;
+ A(FuzzyEqualsAdditive(10.0f, 3.0f * oneThird));
+ A(FuzzyEqualsMultiplicative(10.0f, 3.0f * oneThird));
+ // NaN check
+ A(!FuzzyEqualsAdditive(SpecificNaN<float>(1, 1), SpecificNaN<float>(1, 1)));
+ A(!FuzzyEqualsAdditive(SpecificNaN<float>(1, 2), SpecificNaN<float>(0, 8)));
+ A(!FuzzyEqualsMultiplicative(SpecificNaN<float>(1, 1),
+ SpecificNaN<float>(1, 1)));
+ A(!FuzzyEqualsMultiplicative(SpecificNaN<float>(1, 2),
+ SpecificNaN<float>(0, 200)));
+}
+
+static void
+TestDoublesAreApproximatelyEqual()
+{
+ double epsilon = mozilla::detail::FuzzyEqualsEpsilon<double>::value();
+ double lessThanEpsilon = epsilon / 2.0;
+ double moreThanEpsilon = epsilon * 2.0;
+
+ // Additive tests using the default epsilon
+ // ... around 1.0
+ A(FuzzyEqualsAdditive(1.0, 1.0 + lessThanEpsilon));
+ A(FuzzyEqualsAdditive(1.0, 1.0 - lessThanEpsilon));
+ A(FuzzyEqualsAdditive(1.0, 1.0 + epsilon));
+ A(FuzzyEqualsAdditive(1.0, 1.0 - epsilon));
+ A(!FuzzyEqualsAdditive(1.0, 1.0 + moreThanEpsilon));
+ A(!FuzzyEqualsAdditive(1.0, 1.0 - moreThanEpsilon));
+ // ... around 1.0e4 (this is near the upper bound of the range where
+ // adding moreThanEpsilon will still be representable and return false)
+ A(FuzzyEqualsAdditive(1.0e4, 1.0e4 + lessThanEpsilon));
+ A(FuzzyEqualsAdditive(1.0e4, 1.0e4 + epsilon));
+ A(!FuzzyEqualsAdditive(1.0e4, 1.0e4 + moreThanEpsilon));
+ // ... around 1.0e-25
+ A(FuzzyEqualsAdditive(1.0e-25, 1.0e-25 + lessThanEpsilon));
+ A(FuzzyEqualsAdditive(1.0e-25, 1.0e-25 + epsilon));
+ A(!FuzzyEqualsAdditive(1.0e-25, 1.0e-25 + moreThanEpsilon));
+ // ... straddling 0
+ A(FuzzyEqualsAdditive(1.0e-13, -1.0e-13));
+ A(!FuzzyEqualsAdditive(1.0e-12, -1.0e-12));
+ // Using a small epsilon
+ A(FuzzyEqualsAdditive(1.0e-15, 1.0e-15 + 1.0e-30, 1.0e-29));
+ A(!FuzzyEqualsAdditive(1.0e-15, 1.0e-15 + 1.0e-30, 1.0e-31));
+ // Using a big epsilon
+ A(FuzzyEqualsAdditive(1.0e40, 1.0e40 + 1.0e25, 1.0e26));
+ A(!FuzzyEqualsAdditive(1.0e40, 1.0e40 + 1.0e25, 1.0e24));
+
+ // Multiplicative tests using the default epsilon
+ // ... around 1.0
+ A(FuzzyEqualsMultiplicative(1.0, 1.0 + lessThanEpsilon));
+ A(FuzzyEqualsMultiplicative(1.0, 1.0 - lessThanEpsilon));
+ A(FuzzyEqualsMultiplicative(1.0, 1.0 + epsilon));
+ A(!FuzzyEqualsMultiplicative(1.0, 1.0 - epsilon));
+ A(!FuzzyEqualsMultiplicative(1.0, 1.0 + moreThanEpsilon));
+ A(!FuzzyEqualsMultiplicative(1.0, 1.0 - moreThanEpsilon));
+ // ... around 1.0e30
+ A(FuzzyEqualsMultiplicative(1.0e30, 1.0e30 + (lessThanEpsilon * 1.0e30)));
+ A(!FuzzyEqualsMultiplicative(1.0e30, 1.0e30 + (moreThanEpsilon * 1.0e30)));
+ // ... around 1.0e-30
+ A(FuzzyEqualsMultiplicative(1.0e-30, 1.0e-30 + (lessThanEpsilon * 1.0e-30)));
+ A(!FuzzyEqualsMultiplicative(1.0e-30, 1.0e-30 + (moreThanEpsilon * 1.0e-30)));
+ // ... straddling 0
+ A(!FuzzyEqualsMultiplicative(1.0e-6, -1.0e-6));
+ A(FuzzyEqualsMultiplicative(1.0e-6, -1.0e-6, 1.0e2));
+ // Using a small epsilon
+ A(FuzzyEqualsMultiplicative(1.0e-15, 1.0e-15 + 1.0e-30, 1.0e-15));
+ A(!FuzzyEqualsMultiplicative(1.0e-15, 1.0e-15 + 1.0e-30, 1.0e-16));
+ // Using a big epsilon
+ A(FuzzyEqualsMultiplicative(1.0e40, 2.0e40, 1.0));
+ A(!FuzzyEqualsMultiplicative(1.0e40, 2.0e40, 0.1));
+
+ // "real world case"
+ double oneThird = 10.0 / 3.0;
+ A(FuzzyEqualsAdditive(10.0, 3.0 * oneThird));
+ A(FuzzyEqualsMultiplicative(10.0, 3.0 * oneThird));
+ // NaN check
+ A(!FuzzyEqualsAdditive(SpecificNaN<double>(1, 1),
+ SpecificNaN<double>(1, 1)));
+ A(!FuzzyEqualsAdditive(SpecificNaN<double>(1, 2),
+ SpecificNaN<double>(0, 8)));
+ A(!FuzzyEqualsMultiplicative(SpecificNaN<double>(1, 1),
+ SpecificNaN<double>(1, 1)));
+ A(!FuzzyEqualsMultiplicative(SpecificNaN<double>(1, 2),
+ SpecificNaN<double>(0, 200)));
+}
+
+static void
+TestAreApproximatelyEqual()
+{
+ TestFloatsAreApproximatelyEqual();
+ TestDoublesAreApproximatelyEqual();
+}
+
+#undef A
+
+int
+main()
+{
+ TestAreIdentical();
+ TestExponentComponent();
+ TestPredicates();
+ TestAreApproximatelyEqual();
+ return 0;
+}