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Stacks (Continued) and Queues • Array Stack Implementation • Linked Stack Implementation • The java.util.Stack class • Queue Abstract Data Type (ADT) • Queue ADT Interface • Queue Design Considerations • The java.util.Queue interface Reading L&C 3rd : 4.4, 4.6, 5.1 2nd: 7.1-7.8 1 Array Stack Implementation • We can use an array of elements as a stack • The top is the index of the next available element in the array top Object of type T T [ ] stack Object of type T Object of type T null 2 Array Stack Implementation • push – O(n) public void push (T element) { if (size() == stack.length) expandCapacity(); stack [top++] = element; } • worst case: O(n) • How about the average case: almost constant time. 3 Array Stack Implementation • pop() – O(1) public T pop() throws EmptyStackException { if (isEmpty()) throw new EmptyStackException(); T result = stack[--top]; stack[top] = null; // removes “stale” reference return result; } • The “stale” reference stored in stack[top] would prevent garbage collection on the object when the caller sets the returned 4 reference value to null – ties up resources Linked Stack Implementation • We can use the same LinearNode class that we used for LinkedSet implementation • We change the attribute name to “top” to have a meaning consistent with a stack count Object of type T top LinearNode next; T element; LinearNode next; T element; Object of type T Object of type T null 5 Linked Stack Implementation • push – O(1) public void push (T element) { LinearNode<T> temp = new LinearNode<T>(element); temp.setNext(top); top = temp; count++; } • Note the difference between the stack push method and the LinkedSet add method – There is no check for already present or not 6 Linked Stack Implementation • pop – O(1) public T pop () throws EmptyStackException { if (isEmpty()) throw new EmptyStackException(); T result = top.getElement(); top = top.getNext(); count--; return result; } • Note the difference between the stack pop method and the LinkedSet remove method – There is no specified target as a parameter 7 The java.util.Stack Class • The java.util.Stack class is part of the Java collections API. • It is a subclass of the java.util.Vector class which is a subclass of java.util.AbstractList • java.util.Stack inherits some methods from its superclasses that are inappropriate for a stack collection – a bad design decision! • A good programmer will avoid using those methods on a Stack object 8 The java.util.Stack Class • java.util.Stack has a search method that returns the distance from the top of the stack to the first occurrence of that object on the stack, e.g. search returns 1 for the top element of the stack • If the object is not found, search returns -1 • The search method is O(n) • Does this method violate the principles of a stack as a data structure? 9 Queue Abstract Data Type • A queue is a linear collection where the elements are added to one end and removed from the other end • The processing is first in, first out (FIFO) • The first element put on the queue is the first element removed from the queue • Think of a line of people waiting to be served at RMV. 10 A Conceptual View of a Queue Rear of Queue (or Tail) Adding an Element Front of Queue (or Head) Removing an Element 11 Queue Terminology • We enqueue an element on a queue to add one • We dequeue an element off a queue to remove one • We can also examine the first element without removing it • We can determine if a queue is empty or not and how many elements it contains (its size) • The L&C QueueADT interface supports the above operations and some typical class operations such as toString() 12 Queue ADT Interface <<interface>> QueueADT<T> + + + + + + enqueue(element : T) : void dequeue () : T first() : T isEmpty () : bool size() : int toString() : String 13 Queue Design Considerations • Although a queue can be empty, there is no concept for it being full. An implementation must be designed to manage storage space • For first and dequeue operation on an empty queue, this implementation will throw an exception • Other implementations could return a value null that is equivalent to “nothing to return” 14 Queue Design Considerations • No iterator method is provided • That would be inconsistent with restricting access to the first element of the queue • If we need an iterator or other mechanism to access the elements in the middle or at the end of the collection, then a queue is not the appropriate data structure to use 15 The java.util.Queue Interface • The java.util.Queue interface is in the Java Collections API (extends Collection) • However, it is only an interface and you must use an implementing class • LinkedList is the most commonly used implementing class • For a queue of type objects: Queue<type> myQueue = new LinkedList<type>(); 16 The java.util.Queue Interface • The names of the methods are different • Enqueue is done using: boolean offer(T element) // returns false if full • Dequeue is done using either: T poll() T remove() // returns null value if empty // throws an exception if empty • Peek is done using either: T peek() // returns null value if empty T element() // throws an exception if empty 17