[c#] Why can't I have abstract static methods in C#?

This question is 12 years old but it still needs to be given a better answer. As few noted in the comments and contrarily to what all answers pretend it would certainly make sense to have static abstract methods in C#. As philosopher Daniel Dennett put it, a failure of imagination is not an insight into necessity. There is a common mistake in not realizing that C# is not only an OOP language. A pure OOP perspective on a given concept leads to a restricted and in the current case misguided examination. Polymorphism is not only about subtying polymorphism: it also includes parametric polymorphism (aka generic programming) and C# has been supporting this for a long time now. Within this additional paradigm, abstract classes (and most types) are not only used to type instances. They can also be used as bounds for generic parameters; something that has been understood by users of certain languages (like for example Haskell, but also more recently Scala, Rust or Swift) for years.

In this context you may want to do something like this:

void Catch<TAnimal>() where TAnimal : Animal
{
    string scientificName = TAnimal.ScientificName; // abstract static property
    Console.WriteLine($"Let's catch some {scientificName}");
    …
}

And here the capacity to express static members that can be specialized by subclasses totally makes sense!

Unfortunately C# does not allow abstract static members but I'd like to propose a pattern that can emulate them reasonably well. This pattern is not perfect (it imposes some restrictions on inheritance) but as far as I can tell it is typesafe.

The main idea is to associate an abstract companion class (here SpeciesFor<TAnimal>) to the one that should contain abstract members (here Animal):

public abstract class SpeciesFor<TAnimal> where TAnimal : Animal
{
    public static SpeciesFor<TAnimal> Instance { get { … } }

    // abstract "static" members

    public abstract string ScientificName { get; }
    
    …
}

public abstract class Animal { … }

Now we would like to make this work:

void Catch<TAnimal>() where TAnimal : Animal
{
    string scientificName = SpeciesFor<TAnimal>.Instance.ScientificName;
    Console.WriteLine($"Let's catch some {scientificName}");
    …
}

Of course we have two problems to solve:

  1. How do we allow and force an implementer of a subclass of Animal to associate a specific instance of SpeciesFor<TAnimal> to this subclass?
  2. How does the property SpeciesFor<TAnimal>.Instance retrieve this information?

Here is how we can solve 1:

public abstract class Animal<TSelf> where TSelf : Animal<TSelf>
{
    private Animal(…) {}
    
    public abstract class OfSpecies<TSpecies> : Animal<TSelf>
        where TSpecies : SpeciesFor<TSelf>, new()
    {
        protected OfSpecies(…) : base(…) { }
    }
    
    …
}

By making the constructor of Animal<TSelf> private we make sure that all its subclasses are also subclasses of inner class Animal<TSelf>.OfSpecies<TSpecies>. So these subclasses must specify a TSpecies type that has a new() bound.

For 2 we can provide the following implementation:

public abstract class SpeciesFor<TAnimal> where TAnimal : Animal<TAnimal>
{
    private static SpeciesFor<TAnimal> _instance;

    public static SpeciesFor<TAnimal> Instance => _instance ??= MakeInstance();

    private static SpeciesFor<TAnimal> MakeInstance()
    {
        Type t = typeof(TAnimal);
        while (true)
        {
            if (t.IsConstructedGenericType
                    && t.GetGenericTypeDefinition() == typeof(Animal<>.OfSpecies<>))
                return (SpeciesFor<TAnimal>)Activator.CreateInstance(t.GenericTypeArguments[1]);
            t = t.BaseType;
            if (t == null)
                throw new InvalidProgramException();
        }
    }

    // abstract "static" members

    public abstract string ScientificName { get; }
    
    …
}

How can we be sure that the reflection code inside MakeInstance() never throws? As we've already said, almost all classes within the hierarchy of Animal<TSelf> are also subclasses of Animal<TSelf>.OfSpecies<TSpecies>. So we know that for these classes a specific TSpecies must be provided. This type is also necessarily constructible thanks to constraint : new(). But this still leaves abstract types like Animal<Something> that have no associated species. Now we can convince ourself that the curiously recurring template pattern where TAnimal : Animal<TAnimal> makes it impossible to write SpeciesFor<Animal<Something>>.Instance as type Animal<Something> is never a subtype of Animal<Animal<Something>>.

Et voilà:

public class CatSpecies : SpeciesFor<Cat>
{
    // overriden "static" members

    public override string ScientificName => "Felis catus";
    public override Cat CreateInVivoFromDnaTrappedInAmber() { … }
    public override Cat Clone(Cat a) { … }
    public override Cat Breed(Cat a1, Cat a2) { … }
}

public class Cat : Animal<Cat>.OfSpecies<CatSpecies>
{
    // overriden members

    public override string CuteName { get { … } }
}

public class DogSpecies : SpeciesFor<Dog>
{
    // overriden "static" members

    public override string ScientificName => "Canis lupus familiaris";
    public override Dog CreateInVivoFromDnaTrappedInAmber() { … }
    public override Dog Clone(Dog a) { … }
    public override Dog Breed(Dog a1, Dog a2) { … }
}

public class Dog : Animal<Dog>.OfSpecies<DogSpecies>
{
    // overriden members

    public override string CuteName { get { … } }
}

public class Program
{
    public static void Main()
    {
        ConductCrazyScientificExperimentsWith<Cat>();
        ConductCrazyScientificExperimentsWith<Dog>();
        ConductCrazyScientificExperimentsWith<Tyranosaurus>();
        ConductCrazyScientificExperimentsWith<Wyvern>();
    }
    
    public static void ConductCrazyScientificExperimentsWith<TAnimal>()
        where TAnimal : Animal<TAnimal>
    {
        // Look Ma! No animal instance polymorphism!
        
        TAnimal a2039 = SpeciesFor<TAnimal>.Instance.CreateInVivoFromDnaTrappedInAmber();
        TAnimal a2988 = SpeciesFor<TAnimal>.Instance.CreateInVivoFromDnaTrappedInAmber();
        TAnimal a0400 = SpeciesFor<TAnimal>.Instance.Clone(a2988);
        TAnimal a9477 = SpeciesFor<TAnimal>.Instance.Breed(a0400, a2039);
        TAnimal a9404 = SpeciesFor<TAnimal>.Instance.Breed(a2988, a9477);
        
        Console.WriteLine(
            "The confederation of mad scientists is happy to announce the birth " +
            $"of {a9404.CuteName}, our new {SpeciesFor<TAnimal>.Instance.ScientificName}.");
    }
}

A limitation of this pattern is that it is not possible (as far as I can tell) to extend the class hierarchy in a satifying manner. For example we cannot introduce an intermediary Mammal class associated to a MammalClass companion. Another is that it does not work for static members in interfaces which would be more flexible than abstract classes.

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