When I'm extending Collection the type of count is IndexDistance.
When I'm extending Array type the count is of type Int
Why is there such a distinction? Is this a recent change or it's always been like this?
I've read this answer but couldn't pick up much.
The only thing I deemed related, but didn't understand was:
Another advantage is that this[IndexDistance] also works correctly with array slices (where the index of the first element is not necessarily zero
Not sure what that means.
The reason I'm asking is that why does the code throw an error on Collection but doesn't do such on Array...even though both counts are ultimately an Int.
extension Collection where Element: Comparable{
    func whatever(){
        for index in 0...count{ //  binary operator '...' cannot be applied to operands of type 'Int' and 'Self.IndexDistance'
        }
    }
}
extension Array where Element: Comparable{
    func whatever(){
        for index in 0...count{ // NO ERROR
        }
    }
}
EDIT:
Based on comments made by Martin and others, I've added an extra question. Likely this is the root cause of my question...
Does it mean that within Collection type the IndexDistance isn't defined to Int. Basically in general at the 'Protocol' level associatedTypes aren't defined...It's waiting for a concrete type to do that? Is that right? 
That being said is there any meaningful use case for accessing count at the 'Protocol' level? I mean you can't compare it against any Int so it seems pretty useless.
From Associated Types in the Swift Programming Language (emphasis added):
When defining a protocol, it’s sometimes useful to declare one or more associated types as part of the protocol’s definition. An associated type gives a placeholder name to a type that is used as part of the protocol. The actual type to use for that associated type isn’t specified until the protocol is adopted. Associated types are specified with the associatedtype keyword.
In Swift 3/4.0, the Collection protocol defines five associated types
(from What’s in a Collection?):
protocol Collection: Indexable, Sequence {
    associatedtype Iterator: IteratorProtocol = IndexingIterator<Self>
    associatedtype SubSequence: IndexableBase, Sequence = Slice<Self>
    associatedtype Index: Comparable // declared in IndexableBase
    associatedtype IndexDistance: SignedInteger = Int
    associatedtype Indices: IndexableBase, Sequence = DefaultIndices<Self>
    ...
}
Here
    associatedtype IndexDistance: SignedInteger = Int
is an associated type declaration with a type constraint (: SignedInteger)  and a default value (= Int),
If a type T adopts the protocol and does not define T.IndexDistance otherwise then T.IndexDistance becomes a type alias for Int.
This is the case for many of the standard collection types
(such as Array or String), but not for all. For example 
public struct AnyCollection<Element> : Collection
from the Swift standard library defines
    public typealias IndexDistance = IntMax
which you can verify with
let ac = AnyCollection([1, 2, 3])
let cnt = ac.count
print(type(of: cnt)) // Int64
You can also define your own collection type with a non-Int index distance if you like:
struct MyCollection : Collection {
    typealias IndexDistance = Int16
    var startIndex: Int { return  0 }
    var endIndex: Int { return  3 }
    subscript(position: Int) -> String {
        return "\(position)"
    }
    func index(after i: Int) -> Int {
        return i + 1
    }
}
Therefore, if you extend the concrete type Array then count
is an Int:
extension Array {
    func whatever() {
        let cnt = count // type is `Int`
    }
}
But in a protocol extension method
extension Collection {
    func whatever() {
        let cnt = count // some `SignedInteger`
    }
}
everything you know is that the type of cnt is some type adopting the 
SignedInteger protocol, but that need not be Int. One can still
work with the count, of course. Actually the compiler error in
    for index in 0...count { //  binary operator '...' cannot be applied to operands of type 'Int' and 'Self.IndexDistance'
is misleading. The integer literal 0 could be inferred as a 
Collection.IndexDistance from the context (because SignedInteger
conforms to ExpressibleByIntegerLiteral). But a range of SignedInteger is not a Sequence, and that's why it fails to compile.
So this would work, for example:
extension Collection {
    func whatever() {
        for i in stride(from: 0, to: count, by: 1) {
            // ...
        }
    }
}
As of Swift 4.1, IndexDistance is no longer used, and 
the distance between collection indices is now always expressed as an Int, see
In particular the return type of count is Int. There is a type alias
typealias IndexDistance = Int
to make older code compile, but that is remarked deprecated and will be removed in a future version of Swift.
Not exactly an answer but being the OP I think these were all a vital prerequisite to my understanding. I did't know that:
associatedtype of a protocolassociatedtype a default typeassociatedtype can be done through using a typealias. associatedtype can be done through other ways as well ie though defaulting.associatedType isn't triggered 'at the protocol level' ie it only gets constrained to its constrained Type. However once a class/struct adopts it...then and only then the default type is used. For more refer to Martin's answer above and Apple docs on associatedtype
associatedtype. Please see the link provided at the end. Basically, you can conform by defining the associatedtype implicitly SomeClass9
// associatedtype isn't constrained
protocol NotConstrained{
    associatedtype IndexDistance
}
// associatedtype is constrained
protocol Constrained{
    associatedtype IndexDistance: SignedInteger
}
// associatedtype is constrained and defaulted
protocol ConstrainedAndDefaulted{
    associatedtype IndexDistance: SignedInteger = Int
}
// All Good
class someClass1: NotConstrained{
    typealias IndexDistance = Int
}
// All Good
class someClass2: NotConstrained{
    typealias IndexDistance = String // It works with String as well, since it wasn't constrained
}
// Not Good
class SomeClass3: NotConstrained{
    // error: type 'SomeClass3' does not conform to protocol 'NotConstrained'
    // doesn't work because we MUST have a typealias
}
// All Good
class SomeClass4: Constrained{
    typealias IndexDistance = Int16
}
// Not Good
class SomeClass5: Constrained{
    typealias IndexDistance = String
    // error: type 'SomeClass5' does not conform to protocol 'Constrained'
    // Obviously! Because String isn't of type 'SignedIngeter'
}
// Not Good
class SomeClass6: Constrained{
    // error: type 'SomeClass6' does not conform to protocol 'Constrained'        
}
// All Good
class SomeClass7: ConstrainedAndDefaulted{
    // NO ERROR, because the associatedtype has already defaulted
}
// All Good
class SomeClass8: ConstrainedAndDefaulted{
    typealias IndexDistance = Int64 // We changed the default from 'Int' to 'Int64'
    // Which is ok because 'Int64' is of type 'SignedInteger'
}
class SomeClass9<T> : NotConstrained {
    typealias IndexDistance = T
}
If you can understand why class SomeClass8 works without errors then you've got your answer!
A very simple read can be found at here. I really like how the post defines the difference between implicit and explicit conformance to the protocol's associatedtypes
The Understanding protocol associated types and their constraints tutorial is a fantastic read.
I will have to get back here and update my answer using the above tutorial. But until then refer to the link. It's really helpful.
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