Java generics: Collections.max() signature and Comparator

Question

I understand the get and put principle for collections: if a method takes in a collection that it will write a type T to, the parameter has to be Collection<? super T>, whereas if it will read a type T from, the parameter has to be Collection<? extends T>.

But could someone please explain the Collections.max() signature:

public static <T> T max(Collection<? extends T> coll,
                    Comparator<? super T> comp)

In particular why is it Comparator<? super T> instead of Comparator<? extends T> ?

Answer 1

The comparator needs to be able to take a T as an argument.

Answer 2

The Comparator consumes a pair of Ts and produces an int. The Collection produces the Ts the comparator consumes.

Super consumes, extends produces.

In relation to the get and put principle, get produces and put consumes.

Answer 3

Josh Bloch's mnemonic PECS is useful here. It stands for:

Producer extends, Consumer super

This means that when a parameterized type being passed to a method will produce instances of T (they will be retrieved from it in some way), ? extends T should be used, since any instance of a subclass of T is also a T.

When a parameterized type being passed to a method will consume instances of T (they will be passed to it to do something), ? super T should be used because an instance of T can legally be passed to any method that accepts some supertype of T. A Comparator<Number> could be used on a Collection<Integer>, for example. ? extends T would not work, because a Comparator<Integer> could not operate on a Collection<Number>.

Edit: To clarify a little more on get/put (produce/consume):

public T something();
       ^

The above is a method that produces T.

public void something(T t);
                      ^

The above is a method that consumes T.

"Producer extends, Consumer super" applies to how the method a parameterized object is being passed to is going to be using that object. In the case of Collections.max(), items will be retrieved from the Collection, so it is a producer. Those items will be passed as arguments to the method on Comparator, so it is a consumer.