Scala: implementing method with return type of concrete instance

Question

I need a way to enforce a method in an abstract class to have a return type of the concrete class of the object it is called on. The most common example is a copy() method, and I'm currently using an approach based on abstract types:

abstract class A(id: Int) {
  type Self <: A
  def copy(newId: Int): Self
}

class B(id: Int, x: String) extends A(id) {
  type Self = B
  def copy(newId: Int) = new B(newId, x)
}

class C(id: Int, y: String, z: String) extends A(id) {
  type Self = C
  def copy(newId: Int) = new C(newId, y, z)
}

I already saw many approaches, including the ones in this great answer. However, none of them really forces a implementation to return its own type. For example, the following classes would be valid:

class D(id: Int, w: String) extends A(id) {
  type Self = A
  def copy(newId: Int) = new D(newId, w) // returns an A
}

class E(id: Int, v: String) extends A(id) {
  type Self = B
  def copy(newId: Int) = new B(newId, "")
}

The fact that I can do that causes that, if I am doing copies of objects of which the only information I have is that they are of a given subclass of A's:

// type error: Seq[A] is not a Seq[CA]!
def createCopies[CA <: A](seq: Seq[CA]): Seq[CA] = seq.map(_.copy(genNewId()))

Is there a better, type-safe way I can do that?

EDIT: If possible, I would like to keep the ability to create arbitrarily deep hierarchies of abstract classes. That is, in the previous example, I'm expecting to be able to create an abstract class A2 that extends A, and then proceed to create A2's concrete subclasses. However, if that simplifies the problem (as it's the case with abstract types), I do not need to further extend already concrete classes.

Answer 1

The only solution I could think of was this one:

trait CanCopy[T <: CanCopy[T]] { self: T =>
  type Self >: self.type <: T
  def copy(newId: Int): Self
}

abstract class A(id: Int) { self:CanCopy[_] =>
  def copy(newId: Int): Self
}

The following would compile:

class B(id: Int, x: String) extends A(id) with CanCopy[B] {
  type Self = B
  def copy(newId: Int) = new B(newId, x)
}

class C(id: Int, y: String, z: String) extends A(id) with CanCopy[C] {
  type Self = C
  def copy(newId: Int) = new C(newId, y, z)
}

The following would not compile:

class D(id: Int, w: String) extends A(id) with CanCopy[D] {
  type Self = A
  def copy(newId: Int) = new D(newId, w) // returns an A
}

class E(id: Int, v: String) extends A(id) with CanCopy[E] {
  type Self = B
  def copy(newId: Int) = new B(newId, "")
}

Edit

I actually forgot to remove the copy method. This might be a bit more generic:

trait StrictSelf[T <: StrictSelf[T]] { self: T =>
  type Self >: self.type <: T
}

abstract class A(id: Int) { self:StrictSelf[_] =>
  def copy(newId:Int):Self
}

Answer 2

Do not force the type bound on the declaration side, unless you need that bound within the definition of A itelf. The following is sufficient:

abstract class A(id: Int) {
  type Self
  def copy(newId: Int): Self
}

Now force the Self type on the use site:

def genNewId(): Int = ???
def createCopies[A1 <: A { type Self = A1 }](seq: Seq[A1]): Seq[A1] = 
  seq.map(_.copy(genNewId()))

Answer 3

I don't think it's possible in scala to do what you want.

If I were to:

class Base { type A }
class Other extends Base
class Sub extends Other

Now... we want type A to refer to "the type of the subclass."

You can see that from the context of Base, it's not particularly clear (from the compiler's perspective) what the specific "type of the subclass" means, nevermind what the syntax would be to refer to it in the parent. In Other it would mean an instance of Other, but in Sub it might mean an instance of Sub? Would it be OK to define an implementation of your method returning an Other in Other but not in Sub? If there are two methods returning A's, and one is implemented in Other and the other in Sub, does that mean the type defined in Base has two different meanings/bounds/restrictions at the same time? Then what happens if A is referred to outside of these classes?

The closest thing we have is this.type. I'm not sure if it would be theoretically possible to relax the meaning of this.type (or provide a more relaxed version), but as implemented it means a very specific type, so specific that the only return value satisfying def foo:this.type is this itself.

I'd like to be able to do what you suggest, but I'm not sure how it would work. Let's imagine that this.type meant... something more general. What would it be? We can't just say "any of the defined types of this," because you wouldn't want class Subclass with MyTrait{type A=MyTrait} to be valid. We could say "a type satisfying all of the types of this," but it gets confusing when someone writes val a = new Foo with SomeOtherMixin... and I'm still not sure it could be defined in a way that would enable an implementation of both Other and Sub defined above.

We're sort-of trying to mix static and dynamically defined types.

In Scala, when you say class B { type T <: B }, T is specific to the instance, and B is static (I'm using that word in the sense of static methods in java). You could say class Foo(o:Object){type T = o.type}, and T would be different for every instance.... but when you write type T=Foo, Foo is the statically specified type of the class. You could just as well have had an object Bar, and had referred to some Bar.AnotherType. The AnotherType, since it's essentially "static," (though not really called "static" in Scala), doesn't participate in inheritance in Foo.