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Data Structures: Stacks ( with C Program source code)




   Introduction to Algorithms (CLRS) 



 Algorithms (By Robert Sedgewick) 



Analysis of Algorithms (By Robert Sedgewick) 


'
Some Important Linear Data Structures- at a glance


To go through the C program / source-code, scroll this page

Stack

Stack is a specialized data storage structure (Abstract data type). Unlike, arrays access of elements in a stack is restricted. It has two main functions push and pop. Insertion in a stack is done using push function and removal from a stack is done using pop function. Stack allows access to only the last element inserted hence, an item can be inserted or removed from the stack from one end called the top of the stack. It is therefore, also called Last-In-First-Out (LIFO) list. Stack has three properties: capacity stands for the maximum number of elements stack can hold, size stands for the current size of the stack and elements is the array of elements.

Stacks

 


Algorithm:


Stack structure is defined with fields capacity, size and *elements (pointer to the array of elements).

Functions – (explained in greater detail in the document)


1. createStack function– This function takes the maximum number of elements (maxElements) the stack can hold as an argument, creates a stack according to it and returns a pointer to the stack. It initializes Stack S using malloc function and its properties.
2. push function - This function takes the pointer to the top of the stack S and the item (element) to be inserted as arguments. Check for the emptiness of stack
3. pop function - This function takes the pointer to the top of the stack S as an argument.
4. top function – This function takes the pointer to the top of the stack S as an argument and returns the topmost element of the stack S. 


Properties of stacks:


1. Each function runs in O(1) time.
2. It has two basic implementations
Array-based implementation – It is simple and efficient but the maximum size of the stack is fixed.
Singly Linked List-based implementation – It’s complicated but there is no limit on the stack size, it is subjected to the available memory.

Complete tutorial with examples :


 

                                                                                                          


Stacks - C Program source code


#include<stdio.h>
#include<stdlib.h>
/* Stack has three properties. capacity stands for the maximum number of elements stack can hold.
   Size stands for the current size of the stack and elements is the array of elements */

typedef struct Stack
{
        int capacity;
        int size;
        int *elements;
}Stack;
/* crateStack function takes argument the maximum number of elements the stack can hold, creates
   a stack according to it and returns a pointer to the stack. */

Stack * createStack(int maxElements)
{
        /* Create a Stack */
        Stack *S;
        S = (Stack *)malloc(sizeof(Stack));
        /* Initialise its properties */
        S->elements = (int *)malloc(sizeof(int)*maxElements);
        S->size = 0;
        S->capacity = maxElements;
        /* Return the pointer */
        return S;
}
void pop(Stack *S)
{
        /* If stack size is zero then it is empty. So we cannot pop */
        if(S->size==0)
        {
                printf("Stack is Empty\n");
                return;
        }
        /* Removing an element is equivalent to reducing its size by one */
        else
        {
                S->size--;
        }
        return;
}
int top(Stack *S)
{
        if(S->size==0)
        {
                printf("Stack is Empty\n");
                exit(0);
        }
        /* Return the topmost element */
        return S->elements[S->size-1];
}
void push(Stack *S,int element)
{
        /* If the stack is full, we cannot push an element into it as there is no space for it.*/
        if(S->size == S->capacity)
        {
                printf("Stack is Full\n");
        }
        else
        {
                /* Push an element on the top of it and increase its size by one*/
                S->elements[S->size++] = element;
        }
        return;
}
int main()
{
        Stack *S = createStack(5);
        push(S,7);
        push(S,5);
        push(S,21);
        push(S,-1);
        printf("Top element is %d\n",top(S));
        pop(S);
        printf("Top element is %d\n",top(S));
        pop(S);
        printf("Top element is %d\n",top(S));
        pop(S);
        printf("Top element is %d\n",top(S));

}
Related Tutorials :

Stacks 

 Last In First Out data structures ( LIFO ). Like a stack of cards from which you pick up the one on the top ( which is the last one to be placed on top of the stack ). Documentation of the various operations and the stages a stack passes through when elements are inserted or deleted. C program to help you get an idea of how a stack is implemented in code.

Queues 

 First in First Out data structure (FIFO). Like people waiting to buy tickets in a queue - the first one to stand in the queue, gets the ticket first and gets to leave the queue first. Documentation of the various operations and the stages a queue passes through as elements are inserted or deleted. C Program source code to help you get an idea of how a queue is implemented in code.






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