c# - Should IEquatable<T>, IComparable<T> be implemented on non-sealed classes?

Question

Anyone have any opinions on whether or not IEquatable<T> or IComparable<T> should generally require that T is sealed (if it's a class)?

This question occurred to me since I'm writing a set of base classes intended to aid in the implementation of immutable classes. Part of the functionality which the base class is intended to provide is automatic implementation of equality comparisons (using the class's fields together with attributes which can be applied to fields to control equality comparisons). It should be pretty nice when I'm finished - I'm using expression trees to dynamically create a compiled comparison function for each T, so the comparison function should be very close to the performance of a regular equality comparison function. (I'm using an immutable dictionary keyed on System.Type and double check locking to store the generated comparison functions in a manner that's reasonably performant)

One thing that has cropped up though, is what functions to use to check equality of the member fields. My initial intention was to check if each member field's type (which I'll call X) implements IEquatable<X>. However, after some thought, I don't think this is safe to use unless X is sealed. The reason being that if X is not sealed, I can't know for sure if X is appropriately delegating equality checks to a virtual method on X, thereby allowing a subtype to override the equality comparison.

This then brings up a more general question - if a type is not sealed, should it really implement these interfaces AT ALL?? I would think not, since I would argue that the interfaces contract is to compare between two X types, not two types which may or may not be X (though they must of course be X or a subtype).

What do you guys think? Should IEquatable<T> and IComparable<T> be avoided for unsealed classes? (Also makes me wonder if there is an fxcop rule for this)

My current thought is to have my generated comparison function only use IEquatable<T> on member fields whose T is sealed, and instead to use the virtual Object.Equals(Object obj) if T is unsealed even if T implements IEquatable<T>, since the field could potentially store subtypes of T and I doubt most implementations of IEquatable<T> are designed appropriately for inheritance.

Answer 1

I've been thinking about this question for a bit and after a bit of consideration I agree that implementing IEquatable<T> and IComparable<T> should only be done on sealed types.

I went back and forth for a bit but then I thought of the following test. Under what circumstances should the following ever return false? IMHO, 2 objects are either equal or they are not.

public void EqualitySanityCheck<T>(T left, T right) where T : IEquatable<T> {
  var equals1 = left.Equals(right);
  var equals2 = ((IEqutable<T>)left).Equals(right);
  Assert.AreEqual(equals1,equals2);
}

The result of IEquatable<T> on a given object should have the same behavior as Object.Equals assuming the comparer is of the equivalent type. Implementing IEquatable<T> twice in an object hierarchy allows for, and implies, there are 2 different ways of expressing equality in your system. It's easy to contrive any number of scenarios where IEquatable<T> and Object.Equals would differ since there are multiple IEquatable<T> implementations but only a single Object.Equals. Hence the above would fail and create a bit of confusion in your code.

Some people may argue that implementing IEquatable<T> at a higher point in the object hierarchy is valid because you want to compare a subset of the objects properties. In that case you should favor an IEqualityComparer<T> which is specifically designed to compare those properties.