On a previous post we talked about an implementation of Harris Linked List using Java's
AtomicMarkableReference (AMR), and how
insertions work in such a data structure.
This time, we are going to see how deletions work in this technique.
Suppose we start with a very small list with just four keys, and their corresponding nodes, as shown in the picture below:
notice that all the AMR instances have a
mark of 0 (or
false if you prefer).
Suppose we want to remove the key B from the set, and by consequence the node B. We start the removal by creating a new AMR instance that references Node D and has a
mark of 1 (
true), because the
reference and
mark are immutable, so the only way to change them is to create a new instance:
The next step is to change node B so that it uses the new AMR instance. This is done with a
compareAndSet() (CAS for short) and the goal of this operation is to
logically remove the key B from the set, and to prevent further insertions after the node B. From this instant onwards, any
contains(B) operation will return
false because, even though the node B is still
physically in the linked list, it is pointing to an AMR instance that has a
mark of 1 and is, therefore,
logically removed:
The old AMR instance will no longer be reachable and the Garbage Collector (GC) can now clean it up:
On the following step, we create another AMR instance that is also referencing node D, but with a
mark of 0:
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)
Then, using a CAS, in the node A we change from the current instance of AMR that references node B to the newly created AMR instance that references node D. This will unlink node B, thus
physically removing node B from the linked list:
All that needs to be done now is for the GC to collect the unused AMR instances and the node B:
For those of you who were not counting, the whole procedure took 2 CAS (because there were no retries in this example), and involved the creation of two new AMR instances (actually, it was of the type
Pair to be more precise, which in turn is encapsulated in the AMR class), and the GC had to cleanup
one Node instance and
three unused AMR instances. All of this just to remove a single key from the set, without any contention.
Obviously, this is a very wasteful technique, and we can do better than this... much better in fact, and that is what we'll look into in upcoming posts.