Scala: Type resolution of an inner case class in extending classes - scala

I have something similar to a tree like structure.
I have a trait T. And two classes (A and B) that extends T.
A is like the root node that creates new instances from B while B itself can create new instances from B.
In trait T I define a case class C that I use to save some specific values as well as a List[C] (lets call it listC to keep things simple) that contains all instances of C.
Also every B knows its parent. What I want to do is listC = parent.listC. However this does not work as listC expects the typ List[C] but gets List[parent.C].
How can I solve this issue?
Additionally here are some solutions that I tried but didn't work / are not possible:
I can not define the case class outside of the trait as its values have types that only get defined within the trait.
An easy solution would be to drop the class and use a Tuple instead. However I would like to stick with the class to enhance readability. It's just nice to call x.varName as x._4

If you want that the type C in different subclasses of T to be the same type you cannot define the type as a path dependent type in T.
Tuple2[A.D, A.E] will not be the same as Tuple2[B.D, B.E], this is the exact same problem.
But if a tuple would work, then you should be able to just define the C case class in the companion object of T for example just as well as using a tuple.
One way to do this could be to put bounds on what the nested types can be and use a common supertype in your C/Tuples

Related

Trait instantiation using another mixin trait

It's obvious that this doesn't work:
trait A
val a = new A
since traits cannot be instantiated (if we added {} after new A then it would work, since we're creating an anonymous class).
However, this does work, and I don't know why:
trait A
trait B
val a = new A with B
Does the process of linearization automatically create an anonymous class for a base trait or what?
From section 5.1 of the spec:
It is possible to write a list of parents that starts with a trait
reference, e.g. mt1 with ... with mtn. In that case the list of parents
is implicitly extended to include the supertype of mt1 as first parent
type. The new supertype must have at least one constructor that does
not take parameters.
So when you write new A with B and A is a trait, you're actually getting new AnyRef with A with B. I'm not 100% sure why the same transformation isn't applied to new MyTrait, but I'd guess it has something to do with avoiding confusion between traits and classes.

Scala type alias with companion object

I'm a relatively new Scala user and I wanted to get an opinion on the current design of my code.
I have a few classes that are all represented as fixed length Vector[Byte] (ultimately they are used in a learning algorithm that requires a byte string), say A, B and C.
I would like these classes to be referred to as A, B and C elsewhere in the package for readability sake and I don't need to add any extra class methods to Vector for these methods. Hence, I don't think the extend-my-library pattern is useful here.
However, I would like to include all the useful functional methods that come with Vector without having to 'drill' into a wrapper object each time. As efficiency is important here, I also didn't want the added weight of a wrapper.
Therefore I decided to define type aliases in the package object:
package object abc {
type A: Vector[Byte]
type B: Vector[Byte]
type C: Vector[Byte]
}
However, each has it's own fixed length and I would like to include factory methods for their creation. It seems like this is what companion objects are for. This is how my final design looks:
package object abc {
type A: Vector[Byte]
object A {
val LENGTH: Int = ...
def apply(...): A = {
Vector.tabulate...
}
}
...
}
Everything compiles and it allows me to do stuff like this:
val a: A = A(...)
a map {...} mkString(...)
I can't find anything specifically warning against writing companion objects for type aliases, but it seems it goes against how type aliases should be used. It also means that all three of these classes are defined in the same file, when ideally they should be separated.
Are there any hidden problems with this approach?
Is there a better design for this problem?
Thanks.
I guess it is totally ok, because you are not really implementing a companion object.
If you were, you would have access to private fields of immutable.Vector from inside object A (like e.g. private var dirty), which you do not have.
Thus, although it somewhat feels like A is a companion object, it really isn't.
If it were possible to create a companion object for any type by using type alias would make member visibility constraints moot (except maybe for private|protected[this]).
Furthermore, naming the object like the type alias clarifies context and purpose of the object, which is a plus in my book.
Having them all in one file is something that is pretty common in scala as I know it (e.g. when using the type class pattern).
Thus:
No pitfalls, I know of.
And, imho, no need for a different approach.

Why `trait T; class C; class X extends (C with T)` can't be compiled?

Scala code:
trait T
class C
type W = C with T
class X extends W
W is a type alias, but I want define a class to extend it. Why and how to fix it?
I have difficulty structuring my answer in a nice way, but here is nevertheless an attempt at explaining what's going on:
You get a compilation error because the extends clause requires class and traits, not types, and you're giving a type. Classes and traits must not be confused with types.
There are certainly better explanations of this out there. But basically a type specifies the operations that can be applied to something (and sometimes other properties). Classes and traits define the behavior of their instances.
In most statically typed OO languages, every class/interface/trait also has an associated type. However, the reciprocal is typically not true: not all types have a corresponding class/interface/trait. For example, your C with T is a type, but not a class nor a trait (nor even a combination thereof).
The extends clauses expects classes and traits (separated by with), but not one type. This is because extends means: extend the behavior of this thing. As I said, types do not define behavior.
In most places, the syntax A with B represents a type which is a subtype of both the type A and the type B. In the extends clause, however, with takes a different meaning, and simply acts as a separator for the arguments of extends (much like , acts as separator for arguments to a method call).
If you write class X extends C with T, it will work, because it means class X extends C, T, if you want.
HTH
String is a final class, cannot be extended.

scala - find objects derived from class

Is there a way in scala to get list of all objects(by object I mean scalas object) that derive from specified abstract class?
something like that:
abstract class A
object B extends A //in different file
object C extends A //in different file
def findObjectsDerivingFromA(): Seq[A] //which will give result: Seq(B, C)
I know from here : Can I get a compile-time list of all of the case objects which derive from a sealed parent in Scala?
that it's possible with sealed base trait/class but in my case objects B and C will be pretty complex so I need to have them in different files.
edit:
I've changed method name because previous one was misleading.

What are type classes in Scala useful for?

As I understand from this blog post "type classes" in Scala is just a "pattern" implemented with traits and implicit adapters.
As the blog says if I have trait A and an adapter B -> A then I can invoke a function, which requires argument of type A, with an argument of type B without invoking this adapter explicitly.
I found it nice but not particularly useful. Could you give a use case/example, which shows what this feature is useful for ?
One use case, as requested...
Imagine you have a list of things, could be integers, floating point numbers, matrices, strings, waveforms, etc. Given this list, you want to add the contents.
One way to do this would be to have some Addable trait that must be inherited by every single type that can be added together, or an implicit conversion to an Addable if dealing with objects from a third party library that you can't retrofit interfaces to.
This approach becomes quickly overwhelming when you also want to begin adding other such operations that can be done to a list of objects. It also doesn't work well if you need alternatives (for example; does adding two waveforms concatenate them, or overlay them?) The solution is ad-hoc polymorphism, where you can pick and chose behaviour to be retrofitted to existing types.
For the original problem then, you could implement an Addable type class:
trait Addable[T] {
def zero: T
def append(a: T, b: T): T
}
//yup, it's our friend the monoid, with a different name!
You can then create implicit subclassed instances of this, corresponding to each type that you wish to make addable:
implicit object IntIsAddable extends Addable[Int] {
def zero = 0
def append(a: Int, b: Int) = a + b
}
implicit object StringIsAddable extends Addable[String] {
def zero = ""
def append(a: String, b: String) = a + b
}
//etc...
The method to sum a list then becomes trivial to write...
def sum[T](xs: List[T])(implicit addable: Addable[T]) =
xs.FoldLeft(addable.zero)(addable.append)
//or the same thing, using context bounds:
def sum[T : Addable](xs: List[T]) = {
val addable = implicitly[Addable[T]]
xs.FoldLeft(addable.zero)(addable.append)
}
The beauty of this approach is that you can supply an alternative definition of some typeclass, either controlling the implicit you want in scope via imports, or by explicitly providing the otherwise implicit argument. So it becomes possible to provide different ways of adding waveforms, or to specify modulo arithmetic for integer addition. It's also fairly painless to add a type from some 3rd-party library to your typeclass.
Incidentally, this is exactly the approach taken by the 2.8 collections API. Though the sum method is defined on TraversableLike instead of on List, and the type class is Numeric (it also contains a few more operations than just zero and append)
Reread the first comment there:
A crucial distinction between type classes and interfaces is that for class A to be a "member" of an interface it must declare so at the site of its own definition. By contrast, any type can be added to a type class at any time, provided you can provide the required definitions, and so the members of a type class at any given time are dependent on the current scope. Therefore we don't care if the creator of A anticipated the type class we want it to belong to; if not we can simply create our own definition showing that it does indeed belong, and then use it accordingly. So this not only provides a better solution than adapters, in some sense it obviates the whole problem adapters were meant to address.
I think this is the most important advantage of type classes.
Also, they handle properly the cases where the operations don't have the argument of the type we are dispatching on, or have more than one. E.g. consider this type class:
case class Default[T](val default: T)
object Default {
implicit def IntDefault: Default[Int] = Default(0)
implicit def OptionDefault[T]: Default[Option[T]] = Default(None)
...
}
I think of type classes as the ability to add type safe metadata to a class.
So you first define a class to model the problem domain and then think of metadata to add to it. Things like Equals, Hashable, Viewable, etc. This creates a separation of the problem domain and the mechanics to use the class and opens up subclassing because the class is leaner.
Except for that, you can add type classes anywhere in the scope, not just where the class is defined and you can change implementations. For example, if I calculate a hash code for a Point class by using Point#hashCode, then I'm limited to that specific implementation which may not create a good distribution of values for the specific set of Points I have. But if I use Hashable[Point], then I may provide my own implementation.
[Updated with example]
As an example, here's a use case I had last week. In our product there are several cases of Maps containing containers as values. E.g., Map[Int, List[String]] or Map[String, Set[Int]]. Adding to these collections can be verbose:
map += key -> (value :: map.getOrElse(key, List()))
So I wanted to have a function that wraps this so I could write
map +++= key -> value
The main issue is that the collections don't all have the same methods for adding elements. Some have '+' while others ':+'. I also wanted to retain the efficiency of adding elements to a list, so I didn't want to use fold/map which create new collections.
The solution is to use type classes:
trait Addable[C, CC] {
def add(c: C, cc: CC) : CC
def empty: CC
}
object Addable {
implicit def listAddable[A] = new Addable[A, List[A]] {
def empty = Nil
def add(c: A, cc: List[A]) = c :: cc
}
implicit def addableAddable[A, Add](implicit cbf: CanBuildFrom[Add, A, Add]) = new Addable[A, Add] {
def empty = cbf().result
def add(c: A, cc: Add) = (cbf(cc) += c).result
}
}
Here I defined a type class Addable that can add an element C to a collection CC. I have 2 default implementations: For Lists using :: and for other collections, using the builder framework.
Then using this type class is:
class RichCollectionMap[A, C, B[_], M[X, Y] <: collection.Map[X, Y]](map: M[A, B[C]])(implicit adder: Addable[C, B[C]]) {
def updateSeq[That](a: A, c: C)(implicit cbf: CanBuildFrom[M[A, B[C]], (A, B[C]), That]): That = {
val pair = (a -> adder.add(c, map.getOrElse(a, adder.empty) ))
(map + pair).asInstanceOf[That]
}
def +++[That](t: (A, C))(implicit cbf: CanBuildFrom[M[A, B[C]], (A, B[C]), That]): That = updateSeq(t._1, t._2)(cbf)
}
implicit def toRichCollectionMap[A, C, B[_], M[X, Y] <: col
The special bit is using adder.add to add the elements and adder.empty to create new collections for new keys.
To compare, without type classes I would have had 3 options:
1. to write a method per collection type. E.g., addElementToSubList and addElementToSet etc. This creates a lot of boilerplate in the implementation and pollutes the namespace
2. to use reflection to determine if the sub collection is a List / Set. This is tricky as the map is empty to begin with (of course scala helps here also with Manifests)
3. to have poor-man's type class by requiring the user to supply the adder. So something like addToMap(map, key, value, adder), which is plain ugly
Yet another way I find this blog post helpful is where it describes typeclasses: Monads Are Not Metaphors
Search the article for typeclass. It should be the first match. In this article, the author provides an example of a Monad typeclass.
The forum thread "What makes type classes better than traits?" makes some interesting points:
Typeclasses can very easily represent notions that are quite difficult to represent in the presence of subtyping, such as equality and ordering.
Exercise: create a small class/trait hierarchy and try to implement .equals on each class/trait in such a way that the operation over arbitrary instances from the hierarchy is properly reflexive, symmetric, and transitive.
Typeclasses allow you to provide evidence that a type outside of your "control" conforms with some behavior.
Someone else's type can be a member of your typeclass.
You cannot express "this method takes/returns a value of the same type as the method receiver" in terms of subtyping, but this (very useful) constraint is straightforward using typeclasses. This is the f-bounded types problem (where an F-bounded type is parameterized over its own subtypes).
All operations defined on a trait require an instance; there is always a this argument. So you cannot define for example a fromString(s:String): Foo method on trait Foo in such a way that you can call it without an instance of Foo.
In Scala this manifests as people desperately trying to abstract over companion objects.
But it is straightforward with a typeclass, as illustrated by the zero element in this monoid example.
Typeclasses can be defined inductively; for example, if you have a JsonCodec[Woozle] you can get a JsonCodec[List[Woozle]] for free.
The example above illustrates this for "things you can add together".
One way to look at type classes is that they enable retroactive extension or retroactive polymorphism. There are a couple of great posts by Casual Miracles and Daniel Westheide that show examples of using Type Classes in Scala to achieve this.
Here's a post on my blog
that explores various methods in scala of retroactive supertyping, a kind of retroactive extension, including a typeclass example.
I don't know of any other use case than Ad-hoc polymorhism which is explained here the best way possible.
Both implicits and typeclasses are used for Type-conversion. The major use-case for both of them is to provide ad-hoc polymorphism(i.e) on classes that you can't modify but expect inheritance kind of polymorphism. In case of implicits you could use both an implicit def or an implicit class (which is your wrapper class but hidden from the client). Typeclasses are more powerful as they can add functionality to an already existing inheritance chain(eg: Ordering[T] in scala's sort function).
For more detail you can see https://lakshmirajagopalan.github.io/diving-into-scala-typeclasses/
In scala type classes
Enables ad-hoc polymorphism
Statically typed (i.e. type-safe)
Borrowed from Haskell
Solves the expression problem
Behavior can be extended
- at compile-time
- after the fact
- without changing/recompiling existing code
Scala Implicits
The last parameter list of a method can be marked implicit
Implicit parameters are filled in by the compiler
In effect, you require evidence of the compiler
… such as the existence of a type class in scope
You can also specify parameters explicitly, if needed
Below Example extension on String class with type class implementation extends the class with a new methods even though string is final :)
/**
* Created by nihat.hosgur on 2/19/17.
*/
case class PrintTwiceString(val original: String) {
def printTwice = original + original
}
object TypeClassString extends App {
implicit def stringToString(s: String) = PrintTwiceString(s)
val name: String = "Nihat"
name.printTwice
}
This is an important difference (needed for functional programming):
consider inc:Num a=> a -> a:
a received is the same that is returned, this cannot be done with subtyping
I like to use type classes as a lightweight Scala idiomatic form of Dependency Injection that still works with circular dependencies yet doesn't add a lot of code complexity. I recently rewrote a Scala project from using the Cake Pattern to type classes for DI and achieved a 59% reduction in code size.