Wednesday 3 May 2017

Check for balanced parentheses in an expression

 Given an expression string exp , write a program to examine whether the pairs and the orders of “{“,”}”,”(“,”)”,”[“,”]” are correct in exp. For example, the program should print true for exp = “[()]{}{[()()]()}” and false for exp = “[(])”

#include<stdio.h>
#include<stdlib.h>
#define bool int

/* structure of a stack node */
struct sNode
{
char data;
struct sNode *next;
};

/* Function to push an item to stack*/
void push(struct sNode** top_ref, int new_data);

/* Function to pop an item from stack*/
int pop(struct sNode** top_ref);

/* Returns 1 if character1 and character2 are matching left
and right Parenthesis */
bool isMatchingPair(char character1, char character2)
{
if (character1 == '(' && character2 == ')')
    return 1;
else if (character1 == '{' && character2 == '}')
    return 1;
else if (character1 == '[' && character2 == ']')
    return 1;
else
    return 0;
}

/*Return 1 if expression has balanced Parenthesis */
bool areParenthesisBalanced(char exp[])
{
int i = 0;

/* Declare an empty character stack */
struct sNode *stack = NULL;

/* Traverse the given expression to check matching parenthesis */
while (exp[i])
{
    /*If the exp[i] is a starting parenthesis then push it*/
    if (exp[i] == '{' || exp[i] == '(' || exp[i] == '[')
        push(&stack, exp[i]);

    /* If exp[i] is a ending parenthesis then pop from stack and
        check if the popped parenthesis is a matching pair*/
    if (exp[i] == '}' || exp[i] == ')' || exp[i] == ']')
    {
           
        /*If we see an ending parenthesis without a pair then return false*/
        if (stack == NULL)
        return 0;

        /* Pop the top element from stack, if it is not a pair
            parenthesis of character then there is a mismatch.
            This happens for expressions like {(}) */
        else if ( !isMatchingPair(pop(&stack), exp[i]) )
        return 0;
    }
    i++;
}
   
/* If there is something left in expression then there is a starting
    parenthesis without a closing parenthesis */
if (stack == NULL)
    return 1; /*balanced*/
else
    return 0; /*not balanced*/
}

/* UTILITY FUNCTIONS */
/*driver program to test above functions*/
int main()
{
char exp[100] = "{()}[]";
if (areParenthesisBalanced(exp))
    printf("\n Balanced ");
else
    printf("\n Not Balanced ");
return 0;
}

/* Function to push an item to stack*/
void push(struct sNode** top_ref, int new_data)
{
/* allocate node */
struct sNode* new_node =
            (struct sNode*) malloc(sizeof(struct sNode));

if (new_node == NULL)
{
    printf("Stack overflow \n");
    getchar();
    exit(0);
}       

/* put in the data */
new_node->data = new_data;

/* link the old list off the new node */
new_node->next = (*top_ref);

/* move the head to point to the new node */
(*top_ref) = new_node;
}

/* Function to pop an item from stack*/
int pop(struct sNode** top_ref)
{
char res;
struct sNode *top;

/*If stack is empty then error */
if (*top_ref == NULL)
{
    printf("Stack overflow \n");
    getchar();
    exit(0);
}
else
{
    top = *top_ref;
    res = top->data;
    *top_ref = top->next;
    free(top);
    return res;
}
}

Output:

 Balanced 

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