doubly-linked lists same basic functions operate on list each node has a forward and backward link:...
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Doubly-Linked Lists
• Same basic functions operate on list
• Each node has a forward and backward link:
• What advantages does a doubly-linked list offer?
88NULL 42 109 NULL
head_ptr
Doubly-Linked Lists
• Same basic functions operate on list
• Each node has a forward and backward link:
• What advantages does a doubly-linked list offer?Cursor can move forwards and backwards in list.
88NULL 42 109 NULL
head_ptr
Stacks and Queues
Kruse and Ryba Ch 2 and 3
What is a stack?• It is an ordered group of homogeneous items of elements.
• Elements are added to and removed from the top of the stack (the most recently added items are at the top of the stack).
• The last element to be added is the first to be removed (LIFO: Last In, First Out).
Stack Specification
• Definitions: (provided by the user)– MAX_ITEMS: Max number of items that might be on
the stack
– ItemType: Data type of the items on the stack
• Operations– MakeEmpty
– Boolean IsEmpty
– Boolean IsFull
– Push (ItemType newItem)
– Pop (ItemType& item) (or pop and top)
Push (ItemType newItem)
• Function: Adds newItem to the top of the stack.
• Preconditions: Stack has been initialized and is not full.
• Postconditions: newItem is at the top of the stack.
Pop (ItemType& item)
• Function: Removes topItem from stack and returns it in item.
• Preconditions: Stack has been initialized and is not empty.
• Postconditions: Top element has been removed from stack and item is a copy of the removed element.
Stack Implementation #include "ItemType.h"// Must be provided by the user of the class// Contains definitions for MAX_ITEMS and ItemType
class StackType { public: StackType(); void MakeEmpty();
bool IsEmpty() const; bool IsFull() const; void Push(ItemType); void Pop(ItemType&);private: int top; ItemType items[MAX_ITEMS];};
Stack Implementation (cont.)StackType::StackType(){ top = -1;}
void StackType::MakeEmpty() { top = -1;}
bool StackType::IsEmpty() const{ return (top == -1);}
Stack Implementation (cont.)bool StackType::IsFull() const{ return (top == MAX_ITEMS-1);}
void StackType::Push(ItemType newItem){ top++; items[top] = newItem;}
void StackType::Pop(ItemType& item){ item = items[top]; top--;}
Stack overflow• The condition resulting from trying to push
an element onto a full stack.if(!stack.IsFull()) stack.Push(item);
Stack underflow• The condition resulting from trying to pop
an empty stack.if(!stack.IsEmpty()) stack.Pop(item);
Implementing stacks using templates
• Templates allow the compiler to generate multiple versions of a class type or a function by allowing parameterized types.
Implementing stacks using templatestemplate<class ItemType>class StackType { public: StackType(); void MakeEmpty(); bool IsEmpty() const; bool IsFull() const; void Push(ItemType); void Pop(ItemType&); private: int top; ItemType items[MAX_ITEMS];};
(cont.)
Example using templates // Client codeStackType<int> myStack;StackType<float> yourStack;StackType<StrType> anotherStack;
myStack.Push(35);yourStack.Push(584.39);
The compiler generates distinct class types and gives its own internal name to each of the types.
Function templates • The definitions of the member functions must be
rewritten as function templates.
template<class ItemType>StackType<ItemType>::StackType(){ top = -1;}
template<class ItemType>void StackType<ItemType>::MakeEmpty(){ top = -1;}
Function templates (cont.) template<class ItemType>bool StackType<ItemType>::IsEmpty() const{
return (top == -1);}
template<class ItemType>bool StackType<ItemType>::IsFull() const{
return (top == MAX_ITEMS-1);}
template<class ItemType>void StackType<ItemType>::Push(ItemType newItem){
top++; items[top] = newItem;}
Function templates (cont.)
template<class ItemType>void StackType<ItemType>::Pop(ItemType& item){ item = items[top]; top--;}
Implementing stacks using dynamic array allocation
template<class ItemType>
class StackType {
public:
StackType(int);
~StackType();
void MakeEmpty();
bool IsEmpty() const;
bool IsFull() const;
void Push(ItemType);
void Pop(ItemType&);
private: int top; int maxStack; ItemType *items;};
Implementing stacks using dynamic array allocation (cont.)
template<class ItemType>StackType<ItemType>::StackType(int max){
maxStack = max; top = -1; items = new ItemType[max];}
template<class ItemType>StackType<ItemType>::~StackType(){
delete [ ] items;}
Example: postfix expressions
• Postfix notation is another way of writing arithmetic expressions.
• In postfix notation, the operator is written after the two operands.
infix: 2+5 postfix: 2 5 +
• Expressions are evaluated from left to right.
• Precedence rules and parentheses are never needed!!
Example: postfix expressions(cont.)
Postfix expressions: Algorithm using stacks (cont.)
Postfix expressions:Algorithm using stacksWHILE more input items exist Get an item IF item is an operand stack.Push(item) ELSE stack.Pop(operand2) stack.Pop(operand1) Compute result stack.Push(result)stack.Pop(result)
Write the body for a function that replaces each copy of an item in a stack with another item. Use the following specification. (this function is a client program).
ReplaceItem(StackType& stack, ItemType oldItem, ItemType newItem)
Function: Replaces all occurrences of oldItem with newItem.Precondition: stack has been initialized.Postconditions: Each occurrence of oldItem in stack has been replaced by newItem.
(You may use any of the member functions of the StackType, but you may not assume any knowledge of how the stack is implemented).
{
ItemType item;
StackType tempStack;
while (!Stack.IsEmpty()) {
Stack.Pop(item);
if (item==oldItem)
tempStack.Push(newItem);
else
tempStack.Push(item);
}
while (!tempStack.IsEmpty()) {
tempStack.Pop(item);
Stack.Push(item);
}
}
1
2
3
3
5
1
1
5
3
Stack
Stack
tempStack
oldItem = 2
newItem = 5
What is a queue?• It is an ordered group of homogeneous items of
elements.
• Queues have two ends: – Elements are added at one end.
– Elements are removed from the other end.
• The element added first is also removed first (FIFO: First In, First Out).
queueelements
enterno changes of order
elementsexit234 1
tail head
Queue Specification
• Definitions: (provided by the user)– MAX_ITEMS: Max number of items that might be on
the queue
– ItemType: Data type of the items on the queue
• Operations– MakeEmpty
– Boolean IsEmpty
– Boolean IsFull
– Enqueue (ItemType newItem)
– Dequeue (ItemType& item) (serve and retrieve)
Enqueue (ItemType newItem)
• Function: Adds newItem to the rear of the queue.
• Preconditions: Queue has been initialized and is not full.
• Postconditions: newItem is at rear of queue.
Dequeue (ItemType& item)
• Function: Removes front item from queue and returns it in item.
• Preconditions: Queue has been initialized and is not empty.
• Postconditions: Front element has been removed from queue and item is a copy of removed element.
Implementation issues
• Implement the queue as a circular structure.
• How do we know if a queue is full or empty?
• Initialization of front and rear.
• Testing for a full or empty queue.
Make front point to the element preceding the front element in the queue (one memory location will be wasted).
Initialize front and rear
Queue is empty now!!
rear == front
Queue Implementationtemplate<class ItemType>class QueueType { public: QueueType(int); QueueType(); ~QueueType(); void MakeEmpty(); bool IsEmpty() const; bool IsFull() const; void Enqueue(ItemType); void Dequeue(ItemType&);
private: int front; int rear; ItemType* items; int maxQue;};
Queue Implementation (cont.)
template<class ItemType>QueueType<ItemType>::QueueType(int
max){
maxQue = max + 1; front = maxQue - 1; rear = maxQue - 1; items = new ItemType[maxQue];}
Queue Implementation (cont.)
template<class ItemType>
QueueType<ItemType>::~QueueType()
{
delete [] items;
}
Queue Implementation (cont.)
template<class ItemType>void QueueType<ItemType>::
MakeEmpty(){ front = maxQue - 1; rear = maxQue - 1;}
Queue Implementation (cont.)template<class ItemType>bool QueueType<ItemType>::IsEmpty() const{
return (rear == front);}
template<class ItemType>bool QueueType<ItemType>::IsFull() const{
return ( (rear + 1) % maxQue == front);}
Queue Implementation (cont.)
template<class ItemType>
void QueueType<ItemType>::Enqueue (ItemType newItem)
{
rear = (rear + 1) % maxQue;
items[rear] = newItem;
}
Queue Implementation (cont.)
template<class ItemType>
void QueueType<ItemType>::Dequeue (ItemType& item)
{
front = (front + 1) % maxQue;
item = items[front];
}
Queue overflow
• The condition resulting from trying to add an element onto a full queue.
if(!q.IsFull())
q.Enqueue(item);
Queue underflow
• The condition resulting from trying to remove an element from an empty queue.
if(!q.IsEmpty())
q.Dequeue(item);
Example: recognizing palindromes
• A palindrome is a string that reads the same forward and backward.
Able was I ere I saw Elba
• We will read the line of text into both a stack and a queue.
• Compare the contents of the stack and the queue character-by-character to see if they would produce the same string of characters.
Example: recognizing palindromes
Example: recognizing palindromes#include <iostream.h>#include <ctype.h>#include "stack.h"#include "queue.h“int main(){ StackType<char> s; QueType<char> q; char ch; char sItem, qItem; int mismatches = 0;
cout << "Enter string: " << endl;
while(cin.peek() != '\\n') {
cin >> ch; if(isalpha(ch)) {
if(!s.IsFull()) s.Push(toupper(ch));
if(!q.IsFull()) q.Enqueue(toupper(ch)); } }
while( (!q.IsEmpty()) && (!s.IsEmpty()) ) {
s.Pop(sItem); q.Dequeue(qItem);
if(sItem != qItem) ++mismatches; } if (mismatches == 0) cout << "That is a palindrome" << endl; else cout << That is not a palindrome" << endl;
return 0;}
Example: recognizing palindromes
Case Study: Simulation
• Queuing System: consists of servers and queues of objects to be served.
• Simulation: a program that determines how long items must wait in line before being served.
Case Study: Simulation (cont.)
• Inputs to the simulation:
(1) the length of the simulation
(2) the average transaction time
(3) the number of servers
(4) the average time between job arrivals
Case Study: Simulation (cont.)
• Parameters the simulation must vary:
(1) number of servers
(2) time between arrivals of items
• Output of simulation: average wait time.
