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
MOZ_ASSERT(FuzzyEqualsAdditive(1.0, 1.0 + lessThanEpsilon));
MOZ_ASSERT(FuzzyEqualsAdditive(1.0, 1.0 - lessThanEpsilon));
MOZ_ASSERT(FuzzyEqualsAdditive(1.0, 1.0 + epsilon));
MOZ_ASSERT(FuzzyEqualsAdditive(1.0, 1.0 - epsilon));
MOZ_ASSERT(!FuzzyEqualsAdditive(1.0, 1.0 + moreThanEpsilon));
MOZ_ASSERT(!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)
MOZ_ASSERT(FuzzyEqualsAdditive(1.0e4, 1.0e4 + lessThanEpsilon));
MOZ_ASSERT(FuzzyEqualsAdditive(1.0e4, 1.0e4 + epsilon));
MOZ_ASSERT(!FuzzyEqualsAdditive(1.0e4, 1.0e4 + moreThanEpsilon));
// ... around 1.0e-25
MOZ_ASSERT(FuzzyEqualsAdditive(1.0e-25, 1.0e-25 + lessThanEpsilon));
MOZ_ASSERT(FuzzyEqualsAdditive(1.0e-25, 1.0e-25 + epsilon));
MOZ_ASSERT(!FuzzyEqualsAdditive(1.0e-25, 1.0e-25 + moreThanEpsilon));
// ... straddling 0
MOZ_ASSERT(FuzzyEqualsAdditive(1.0e-13, -1.0e-13));
MOZ_ASSERT(!FuzzyEqualsAdditive(1.0e-12, -1.0e-12));
// Using a small epsilon
MOZ_ASSERT(FuzzyEqualsAdditive(1.0e-15, 1.0e-15 + 1.0e-30, 1.0e-29));
MOZ_ASSERT(!FuzzyEqualsAdditive(1.0e-15, 1.0e-15 + 1.0e-30, 1.0e-31));
// Using a big epsilon
MOZ_ASSERT(FuzzyEqualsAdditive(1.0e40, 1.0e40 + 1.0e25, 1.0e26));
MOZ_ASSERT(!FuzzyEqualsAdditive(1.0e40, 1.0e40 + 1.0e25, 1.0e24));
// Multiplicative tests using the default epsilon
// ... around 1.0
MOZ_ASSERT(FuzzyEqualsMultiplicative(1.0, 1.0 + lessThanEpsilon));
MOZ_ASSERT(FuzzyEqualsMultiplicative(1.0, 1.0 - lessThanEpsilon));
MOZ_ASSERT(FuzzyEqualsMultiplicative(1.0, 1.0 + epsilon));
MOZ_ASSERT(!FuzzyEqualsMultiplicative(1.0, 1.0 - epsilon));
MOZ_ASSERT(!FuzzyEqualsMultiplicative(1.0, 1.0 + moreThanEpsilon));
MOZ_ASSERT(!FuzzyEqualsMultiplicative(1.0, 1.0 - moreThanEpsilon));
// ... around 1.0e30
MOZ_ASSERT(FuzzyEqualsMultiplicative(1.0e30, 1.0e30 + (lessThanEpsilon * 1.0e30)));
MOZ_ASSERT(!FuzzyEqualsMultiplicative(1.0e30, 1.0e30 + (moreThanEpsilon * 1.0e30)));
// ... around 1.0e-30
MOZ_ASSERT(FuzzyEqualsMultiplicative(1.0e-30, 1.0e-30 + (lessThanEpsilon * 1.0e-30)));
MOZ_ASSERT(!FuzzyEqualsMultiplicative(1.0e-30, 1.0e-30 + (moreThanEpsilon * 1.0e-30)));
// ... straddling 0
MOZ_ASSERT(!FuzzyEqualsMultiplicative(1.0e-6, -1.0e-6));
MOZ_ASSERT(FuzzyEqualsMultiplicative(1.0e-6, -1.0e-6, 1.0e2));
// Using a small epsilon
MOZ_ASSERT(FuzzyEqualsMultiplicative(1.0e-15, 1.0e-15 + 1.0e-30, 1.0e-15));
MOZ_ASSERT(!FuzzyEqualsMultiplicative(1.0e-15, 1.0e-15 + 1.0e-30, 1.0e-16));
// Using a big epsilon
MOZ_ASSERT(FuzzyEqualsMultiplicative(1.0e40, 2.0e40, 1.0));
MOZ_ASSERT(!FuzzyEqualsMultiplicative(1.0e40, 2.0e40, 0.1));
// "real world case"
double oneThird = 10.0 / 3.0;
MOZ_ASSERT(FuzzyEqualsAdditive(10.0, 3.0 * oneThird));
MOZ_ASSERT(FuzzyEqualsMultiplicative(10.0, 3.0 * oneThird));
// NaN check
MOZ_ASSERT(!FuzzyEqualsAdditive(SpecificNaN(1, 1), SpecificNaN(1, 1)));
MOZ_ASSERT(!FuzzyEqualsAdditive(SpecificNaN(1, 2), SpecificNaN(0, 8)));
MOZ_ASSERT(!FuzzyEqualsMultiplicative(SpecificNaN(1, 1), SpecificNaN(1, 1)));
MOZ_ASSERT(!FuzzyEqualsMultiplicative(SpecificNaN(1, 2), SpecificNaN(0, 200)));
}
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
MOZ_ASSERT(FuzzyEqualsAdditive(1.0f, 1.0f + lessThanEpsilon));
MOZ_ASSERT(FuzzyEqualsAdditive(1.0f, 1.0f - lessThanEpsilon));
MOZ_ASSERT(FuzzyEqualsAdditive(1.0f, 1.0f + epsilon));
MOZ_ASSERT(FuzzyEqualsAdditive(1.0f, 1.0f - epsilon));
MOZ_ASSERT(!FuzzyEqualsAdditive(1.0f, 1.0f + moreThanEpsilon));
MOZ_ASSERT(!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)
MOZ_ASSERT(FuzzyEqualsAdditive(1.0e2f, 1.0e2f + lessThanEpsilon));
MOZ_ASSERT(FuzzyEqualsAdditive(1.0e2f, 1.0e2f + epsilon));
MOZ_ASSERT(!FuzzyEqualsAdditive(1.0e2f, 1.0e2f + moreThanEpsilon));
// ... around 1.0e-10
MOZ_ASSERT(FuzzyEqualsAdditive(1.0e-10f, 1.0e-10f + lessThanEpsilon));
MOZ_ASSERT(FuzzyEqualsAdditive(1.0e-10f, 1.0e-10f + epsilon));
MOZ_ASSERT(!FuzzyEqualsAdditive(1.0e-10f, 1.0e-10f + moreThanEpsilon));
// ... straddling 0
MOZ_ASSERT(FuzzyEqualsAdditive(1.0e-6f, -1.0e-6f));
MOZ_ASSERT(!FuzzyEqualsAdditive(1.0e-5f, -1.0e-5f));
// Using a small epsilon
MOZ_ASSERT(FuzzyEqualsAdditive(1.0e-5f, 1.0e-5f + 1.0e-10f, 1.0e-9f));
MOZ_ASSERT(!FuzzyEqualsAdditive(1.0e-5f, 1.0e-5f + 1.0e-10f, 1.0e-11f));
// Using a big epsilon
MOZ_ASSERT(FuzzyEqualsAdditive(1.0e20f, 1.0e20f + 1.0e15f, 1.0e16f));
MOZ_ASSERT(!FuzzyEqualsAdditive(1.0e20f, 1.0e20f + 1.0e15f, 1.0e14f));
// Multiplicative tests using the default epsilon
// ... around 1.0
MOZ_ASSERT(FuzzyEqualsMultiplicative(1.0f, 1.0f + lessThanEpsilon));
MOZ_ASSERT(FuzzyEqualsMultiplicative(1.0f, 1.0f - lessThanEpsilon));
MOZ_ASSERT(FuzzyEqualsMultiplicative(1.0f, 1.0f + epsilon));
MOZ_ASSERT(!FuzzyEqualsMultiplicative(1.0f, 1.0f - epsilon));
MOZ_ASSERT(!FuzzyEqualsMultiplicative(1.0f, 1.0f + moreThanEpsilon));
MOZ_ASSERT(!FuzzyEqualsMultiplicative(1.0f, 1.0f - moreThanEpsilon));
// ... around 1.0e10
MOZ_ASSERT(FuzzyEqualsMultiplicative(1.0e10f, 1.0e10f + (lessThanEpsilon * 1.0e10f)));
MOZ_ASSERT(!FuzzyEqualsMultiplicative(1.0e10f, 1.0e10f + (moreThanEpsilon * 1.0e10f)));
// ... around 1.0e-10
MOZ_ASSERT(FuzzyEqualsMultiplicative(1.0e-10f, 1.0e-10f + (lessThanEpsilon * 1.0e-10f)));
MOZ_ASSERT(!FuzzyEqualsMultiplicative(1.0e-10f, 1.0e-10f + (moreThanEpsilon * 1.0e-10f)));
// ... straddling 0
MOZ_ASSERT(!FuzzyEqualsMultiplicative(1.0e-6f, -1.0e-6f));
MOZ_ASSERT(FuzzyEqualsMultiplicative(1.0e-6f, -1.0e-6f, 1.0e2f));
// Using a small epsilon
MOZ_ASSERT(FuzzyEqualsMultiplicative(1.0e-5f, 1.0e-5f + 1.0e-10f, 1.0e-4f));
MOZ_ASSERT(!FuzzyEqualsMultiplicative(1.0e-5f, 1.0e-5f + 1.0e-10f, 1.0e-5f));
// Using a big epsilon
MOZ_ASSERT(FuzzyEqualsMultiplicative(1.0f, 2.0f, 1.0f));
MOZ_ASSERT(!FuzzyEqualsMultiplicative(1.0f, 2.0f, 0.1f));
// "real world case"
float oneThird = 10.0f / 3.0f;
MOZ_ASSERT(FuzzyEqualsAdditive(10.0f, 3.0f * oneThird));
MOZ_ASSERT(FuzzyEqualsMultiplicative(10.0f, 3.0f * oneThird));
// NaN check
MOZ_ASSERT(!FuzzyEqualsAdditive(SpecificFloatNaN(1, 1), SpecificFloatNaN(1, 1)));
MOZ_ASSERT(!FuzzyEqualsAdditive(SpecificFloatNaN(1, 2), SpecificFloatNaN(0, 8)));
MOZ_ASSERT(!FuzzyEqualsMultiplicative(SpecificFloatNaN(1, 1), SpecificFloatNaN(1, 1)));
MOZ_ASSERT(!FuzzyEqualsMultiplicative(SpecificFloatNaN(1, 2), SpecificFloatNaN(0, 200)));
}