private static void TestBinaryOperationFloatApproximate(float a, float b, float expected, BinaryOperationType op)
{
BinaryOperation func = binaryOperations[(int)op];
sfloat result = func((sfloat)a, (sfloat)b);
if (float.IsNaN(expected) && result.IsNaN())
{
// special case, NaN-s cannot be compared
return;
}
if (float.IsInfinity(expected) && result.IsInfinity() && MathF.Sign(expected) == result.Sign())
{
// both are the same infinities
return;
}
float allowedError = MathF.Max(1e-6f * MathF.Pow(2.0f, MathF.Log2(MathF.Abs(expected) + 1.0f)), 1e-6f);
float difference = MathF.Abs((float)result - expected);
bool isOk = difference < allowedError;
Debug.Assert(isOk);
}
private static void TestUnaryOperationFloatApproximate(float x, float expected, UnaryOperationType op, float allowedErrorMultiplier = 1.0f)
{
UnaryOperation func = unaryOperations[(int)op];
sfloat result = func((sfloat)x);
if (float.IsNaN(expected) && result.IsNaN())
{
// special case, NaN-s cannot be compared
return;
}
if (float.IsInfinity(expected) && result.IsInfinity() && MathF.Sign(expected) == result.Sign())
{
// both are the same infinities
return;
}
float allowedError = MathF.Max(1e-6f * allowedErrorMultiplier * MathF.Pow(2.0f, MathF.Log2(MathF.Abs(expected) + 1.0f)), 1e-6f);
float difference = MathF.Abs((float)result - expected);
bool isOk = difference <= allowedError;
if (!isOk && (op == UnaryOperationType.Round || op == UnaryOperationType.Floor || op == UnaryOperationType.Ceiling))
{
// Because of the loss of precision that can result from representing decimal values
// as floating-point numbers or performing arithmetic operations on floating-point values,
// in some cases the Round method may not appear to round midpoint values to the nearest even integer.
// https://docs.microsoft.com/en-us/dotnet/api/system.math.round
if (MathF.Abs(x % 1.0f) - 0.5f < 0.01f)
{
// x is near a midpoint, it's possible that rounding happened in a different direction
isOk = MathF.Abs((float)result - expected) <= 1.0f;
}
}
Debug.Assert(isOk);
}