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Stack and Queues using Linked Structures Kruse and Ryba Ch 4

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Implementing stacks using arrays Simple implementation The size of the stack must be determined when a stack object is declared Space is wasted if we use less elements We cannot "push" more elements than the array can hold

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Dynamic allocation of each stack element Allocate memory for each new element dynamically ItemType* itemPtr;... itemPtr = new ItemType; *itemPtr = newItem;

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Dynamic allocation of each stack element (cont.) How should we preserve the order of the stack elements?

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Chaining the stack elements together

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Chaining the stack elements together (cont.) Each node in the stack should contain two parts: –info: the user's data –next: the address of the next element in the stack

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Node Type template struct NodeType { ItemType info; NodeType* next; };

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First and last stack elements We need a data member to store the pointer to the top of the stack The next element of the last node should contain the value NULL

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Stack class specification // forward declaration of NodeType (like function prototype) template struct NodeType; template class StackType { public: StackType(); ~StackType(); void MakeEmpty(); bool IsEmpty() const; bool IsFull() const; void Push(ItemType); void Pop(ItemType&); private: NodeType * topPtr; };

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Pushing on a non-empty stack

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Pushing on a non-empty stack (cont.) The order of changing the pointers is very important !!

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Pushing on an empty stack

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Function Push template void StackType ::Push(ItemType item) { NodeType * location; location = new NodeType ; location->info = newItem; location->next = topPtr; topPtr = location; }

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Popping the top element

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Popping the top element (cont.) Need to use a temporary pointer

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Function Pop template void StackType ::Pop(ItemType& item) { NodeType * tempPtr; item = topPtr->info; tempPtr = topPtr; topPtr = topPtr->next; delete tempPtr; }

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Popping the last element on the stack

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Other Stack functions template StackType() StackType ::StackType() { topPtr = NULL; } template MakeEmpty() void StackType ::MakeEmpty() { NodeType * tempPtr; while(topPtr != NULL) { tempPtr = topPtr; topPtr = topPtr->next; delete tempPtr; }

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Other Stack functions (cont.) template IsEmpty() bool StackType ::IsEmpty() const { return(topPtr == NULL); } template IsFull() bool StackType ::IsFull() const { NodeType * location; location = new NodeType ; if(location == NULL) return true; else { delete location; return false; } template StackType() StackType ::~StackType() { MakeEmpty(); }

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Copy Constructors for stacks Suppose we want to make a copy of a stack, will the following work? template void StackType(StackType oldStack, StackType & copy) { StackType tempStack; ItemType item; while(!oldStack.IsEmpty()) { oldStack.Pop(item); tempStack.Push(item); } while(!tempStack.IsEmpty()) { tempStack.Pop(item); copy.Push(item); }

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Copy Constructors (cont.) Shallow Copy: an object is copied to another object without copying any pointed-to data Deep Copy: makes copies of any pointed-to data When do you need a copy constructor? (1) When parameters are passed by value (2) Return the value of a function (return thisStack;) (3) Initializing a variable in a declaration (StackType myStack=yourStack;)

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Copy constructor for stacks template Stack Type ::StackType(const StackType & anotherStack) { NodeType * ptr1; NodeType * ptr2; if(anotherStack.topPtr == NULL) topPtr = NULL; else { topPtr = new NodeType ; topPtr->info = anotherStack.topPtr->info; ptr1 = anotherStack.topPtr->next; ptr2 = topPtr; while(ptr1 !=NULL) { ptr2->next = new NodeType ; ptr2 = ptr2->next; ptr2->info = ptr1->info; ptr1 = ptr1->next; } ptr2->next = NULL; } Alternatively, copy one stack to another using the assignment operator (you need to overload it though!!)

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Comparing stack implementations Big-O Comparison of Stack Operations OperationArray Implementation Linked Implementation Class constructorO(1) MakeEmptyO(1)O(N) IsFullO(1) IsEmptyO(1) PushO(1) PopO(1) DestructorO(1)O(N)

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Implementing queues using arrays Simple implementation The size of the queue must be determined when a stack object is declared Space is wasted if we use less elements We cannot "enqueue" more elements than the array can hold

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Implementing queues using linked lists Allocate memory for each new element dynamically Link the queue elements together Use two pointers, qFront and qRear, to mark the front and rear of the queue

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Queue class specification // forward declaration of NodeType (like function prototype) template struct NodeType; template class QueueType { public: QueueType(); ~QueueType(); void MakeEmpty(); bool IsEmpty() const; bool IsFull() const; void Enqueue(ItemType); void Dequeue(ItemType&); private: NodeType * qFront; NodeType * qRear; };

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Enqueuing (non-empty queue)

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Enqueuing (empty queue) We need to make qFront point to the new node also New Node newNode qFront = NULL qRear = NULL

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Function Enqueue template void QueueType ::Enqueue(ItemType newItem) { NodeType * newNode; newNode = new NodeType ; newNode->info = newItem; newNode->next = NULL; if(qRear == NULL) qFront = newNode; else qRear->next = newNode; qRear = newNode; }

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Dequeueing (the queue contains more than one element)

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Dequeueing (the queue contains only one element) We need to reset qRear to NULL also Node qFront qRear After dequeue: qFront = NULL qRear = NULL

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Function Dequeue template void QueueType ::Dequeue(ItemType& item) { NodeType * tempPtr; tempPtr = qFront; item = qFront->info; qFront = qFront->next; if(qFront == NULL) qRear = NULL; delete tempPtr; }

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qRear, qFront revisited The relative positions of qFront and qRear are important!

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Other Queue functions template MakeEmpty() void QueueType ::MakeEmpty() { NodeType * tempPtr; while(qFront != NULL) { tempPtr = qFront; qFront = qFront->next; delete tempPtr; } qRear=NULL; }

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Other Queue functions (cont.) template IsEmpty() bool QueueType ::IsEmpty() const { return(qFront == NULL); } template IsFull() bool QueueType ::IsFull() const { NodeType * ptr; ptr = new NodeType ; if(ptr == NULL) return true; else { delete ptr; return false; }

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Other Queue functions (cont.) template QueueType() QueueType ::~QueueType() { MakeEmpty(); }

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A circular linked queue design

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Comparing queue implementations Memory requirements –Array-based implementation Assume a queue (size: 100) of strings (80 bytes each) Assume indices take 2 bytes Total memory: (80 bytes x 101 slots) + (2 bytes x 2 indexes) = 8084 bytes –Linked-list-based implementation Assume pointers take 4 bytes Total memory per node: 80 bytes + 4 bytes = 84 bytes

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Comparing queue implementations (cont.)

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Comparing queue implementations Memory requirements –Array-based implementation Assume a queue (size: 100) of short integers (2 bytes each) Assume indices take 2 bytes Total memory: (2 bytes x 101 slots) + (2 bytes x 2 indexes) = 206 bytes –Linked-list-based implementation Assume pointers take 4 bytes Total memory per node: 2 bytes + 4 bytes = 6 bytes (cont.)

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Comparing queue implementations (cont.)

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Comparing queue implementations Big-O Comparison of Queue Operations OperationArray Implementation Linked Implementation Class constructorO(1) MakeEmptyO(1)O(N) IsFullO(1) IsEmptyO(1) EnqueueO(1) DequeueO(1) DestructorO(1)O(N)

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