Lab 8 – Priority queues

Lab 8 – Priority queues

• Lab 8 Home
• Warmup
• Part 1
• Part 2
• Submission

Part 1 – MyPriorityQueue

Write a heap-based implementation of a PriorityQueue, extending AbstractQueue called MyPriorityQueue. It should contain an ArrayList to hold the data items in the priority queue and a Comparator to compare the priorities of the elements in the queue. MyPriorityQueue must contain a constructor that takes a Comparator as input.

Remember that this is supposed to be a min-heap, so the smallest value is at the top.

Don’t forget to test each method you write, ideally as you write it with JUnit tests before moving on to the next part.

You will need the following public and private methods.

public int size()

Return the number of items in the priority queue.

public void clear()

Efficiently empty your heap such that garbage collection can take place. Feel free to use the ArrayList clear method.

public T peek()

Return the highest priority (smallest value) item in the priority queue, without removing it.

public T poll()

Remove and return the highest priority (smallest value) item in the priority queue. In order to maintain the heap property, you will want to take the last item in your ArrayList and make it the first item, and then call your private percolateDown() method on the root. (Remember to delete the last item that you moved to the front!)

public boolean offer(T item)

Add item in the correct place in the priority queue and return true if the item was correctly added—similar to ArrayList this should always return true.

You will need to add the new item to the end of the ArrayList, and then call percolateUp() to move it to its correct location.

public Iterator<T> iterator()

Return a new Iterator over the items in the priority queue.

This Iterator can return the items in any order, including the order they are in the ArrayList. (Hint: ArrayList has a method that will return an Iterator. Feel free to use that.)

private void percolateUp(int hole)

Percolate the item at position hole up through the heap by checking if it it’s smaller than its parent, and swapping and recursing if it is.

private void percolateDown(int hole)

Percolate the item at position hole down through the heap by checking if it’s smaller than its smallest child, and swapping the child and recursing if it is. Be careful to handle the case of single children

private int parent(int x)

Return the index of the parent of the node at index x. This should be (x - 1)/2.

private int leftChild(int x)

Return the index of the left child of the node at index x. This should be 2*x + 1.

private int rightChild(int x)

Return the index of the right child of the node at index x. This should be 2*x + 2.

JUnit Tests

Don’t forget to write JUnit tests as you go along, to test your priority queue. You should write tests for peek(), poll() and offer(), and you might want to test percolateUp() and percolateDown() as well. Note that in order to test, you will need a Comparator—Java can provide you with its built in “natural ordering” Comparator. To create this Comparator for strings, you would write the following code.

Comparator<String> cmp = Comparator.naturalOrder();

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