Here is my implementation:
FindAssignableWith, FindBaseClassWith and FindInterfaceWith implementations
// provide common base class or implemented interface
public static Type FindAssignableWith(this Type typeLeft, Type typeRight)
{
if(typeLeft == null || typeRight == null) return null;
var commonBaseClass = typeLeft.FindBaseClassWith(typeRight) ?? typeof(object);
return commonBaseClass.Equals(typeof(object))
? typeLeft.FindInterfaceWith(typeRight)
: commonBaseClass;
}
// searching for common base class (either concrete or abstract)
public static Type FindBaseClassWith(this Type typeLeft, Type typeRight)
{
if(typeLeft == null || typeRight == null) return null;
return typeLeft
.GetClassHierarchy()
.Intersect(typeRight.GetClassHierarchy())
.FirstOrDefault(type => !type.IsInterface);
}
// searching for common implemented interface
// it's possible for one class to implement multiple interfaces,
// in this case return first common based interface
public static Type FindInterfaceWith(this Type typeLeft, Type typeRight)
{
if(typeLeft == null || typeRight == null) return null;
return typeLeft
.GetInterfaceHierarchy()
.Intersect(typeRight.GetInterfaceHierarchy())
.FirstOrDefault();
}
// iterate on interface hierarhy
public static IEnumerable<Type> GetInterfaceHierarchy(this Type type)
{
if(type.IsInterface) return new [] { type }.AsEnumerable();
return type
.GetInterfaces()
.OrderByDescending(current => current.GetInterfaces().Count())
.AsEnumerable();
}
// interate on class hierarhy
public static IEnumerable<Type> GetClassHierarchy(this Type type)
{
if(type == null) yield break;
Type typeInHierarchy = type;
do
{
yield return typeInHierarchy;
typeInHierarchy = typeInHierarchy.BaseType;
}
while(typeInHierarchy != null && !typeInHierarchy.IsInterface);
}
Remark regarding FindInterfaceWith implementation
Any interfaces that implements either IEnumerable or IEnumerable<T> will be selected before others, what I considered not to be correct
Open ended question of FindInterfaceWith
c# allow multiple interfaces to be implemented in one class, in this case first one of interfaces will be returned by FindInterfaceWith, because there is no way how to know which of interfaces IA or IB are preferable in general in following sample

Interfaces and classes hierarchy
public interface IBase {}
public interface ISomething {}
public interface IDerivied: IBase {}
public interface IDeriviedRight: IDerivied {}
public interface IDeriviedLeft: IDerivied, IDisposable {}
public class AnotherDisposable: IDisposable {
public void Dispose() {
}
}
public class DeriviedLeft: IDeriviedLeft {
public void Dispose() {
}
}
public class SubDeriviedLeft: DeriviedLeft {}
public class SecondSubDeriviedLeft: DeriviedLeft {}
public class ThirdSubDeriviedLeft: DeriviedLeft, ISomething {}
public class Another {}
public class DeriviedRight: IDeriviedRight {}
Test cases
And set of test cases using NUnit assertions:
FindBaseClassWith assertions example
// FindBaseClassWith returns null if one of parameters was an interface.
// FindBaseClassWith return null if any of parameter was null.
Assert.That(typeof(DeriviedLeft).FindBaseClassWith(typeof(DeriviedLeft)), Is.EqualTo(typeof(DeriviedLeft)));
FindInterfaceWith assertions example
// FindInterfaceWith returns null if they don't have common implemented interface.
// FindBaseClassWith return null if any of parameter was null.
Assert.That(typeof(DeriviedLeft).FindInterfaceWith(typeof(DeriviedLeft)), Is.EqualTo(typeof(IDeriviedLeft)));
FinAssignableWith assertions example
Assert.That(typeof(DeriviedLeft).FindAssignableWith(typeof(DeriviedLeft)), Is.SameAs(typeof(DeriviedLeft)));
Discussion at CodeReview
Review of this answer at codereview.stackexchange.com
ps:
Full sources available [here]