/************************************************************
* Filename: infix_to_postfix.c
* Description: infix to postfix conversion using stack
* Author:Sarju S
* Date: 01-Dec-2011
*************************************************************/
#include
#include
#define MAX_EXPR_SIZE 100
#define MAX_STACK_SIZE 100
typedef enum {eos,lparen, rparen, plus, minus, times, divide,mod,operand} precedence;
char infixExpr[MAX_EXPR_SIZE],postfixExpr[MAX_EXPR_SIZE];
precedence stack[MAX_STACK_SIZE];
int top=-1,infixCount=0,postfixCount=0;
void stackFull()
{
fprintf(stderr, "Stack is full cannot add elements\n");
exit(EXIT_FAILURE);
}
void stackEmpty()
{
fprintf(stderr, "Stack is empty cannot delete elements\n");
exit(EXIT_FAILURE);
}
void push(precedence item)
{/* add an element to stack */
if(top>=MAX_STACK_SIZE-1)
stackFull();
top++;
stack[top] = item;
}
precedence pop()
{/*Delete top element from the stack*/
if(top==-1)
stackEmpty();
return stack[top--];
}
void printToken(precedence token){
/* to print the symbol corresponding to token*/
switch(token) {
case 3 :postfixExpr[postfixCount]='+';
postfixCount++;
break;
case 4 :postfixExpr[postfixCount]='-';
postfixCount++;
break;
case 5 :postfixExpr[postfixCount]='*';
postfixCount++;
break;
case 6 :postfixExpr[postfixCount]='/';
postfixCount++;
break;
case 7 :postfixExpr[postfixCount]='%';
postfixCount++;
}
}
precedence getToken(char *symbol)
{ /* get the next token, symbol is the character representation,which is
returned, the token is represented by its enumerated value, which is
returned in the function name */
*symbol = infixExpr[infixCount];
infixCount++;
switch(*symbol) {
case '\0': return eos;
case '(' : return lparen;
case ')' : return rparen;
case '+' : return plus;
case '-' : return minus;
case '/' : return divide;
case '*' : return times;
case '%' : return mod;
default : return operand;
}
}
int checkPriority(precedence token){
switch(token) {
case plus :
case minus : return 4;
case times :
case divide : return 6;
}
}
void infixToPostfix()
{/* output postfix of expression */
char symbol;
precedence token;
top = 0;
stack[0]= eos;
token = getToken(&symbol);
while(token!=eos){
if(token == operand){
postfixExpr[postfixCount]=symbol;
postfixCount++;
}
else if(token == rparen){
/*unstack tokens until left parenthesis */
while(stack[top]!= lparen)
printToken(pop());
pop(); /*remove left parenthesis */
}
else {
/*remove and print symbols whose in-stack precedence is greater than or
equal to the current tokens incoming precedence */
if(token!=1) /*Avoid Comparison of Left Paranthesis */
while(checkPriority(stack[top])>= checkPriority(token))
printToken(pop());
push(token);
}
token =getToken(&symbol);
}
while((token = pop())!=eos)
printToken(token);
postfixExpr[postfixCount]='\0';
}
void main(){
printf("\nEnter the INFIX expression:");
scanf("%s",infixExpr);
infixToPostfix(); /* Function Call*/
printf("\nThe POSTFIX expression:");
printf("%s\n",postfixExpr);
}
OUTPUT
krishnakripa@krishnakripa-K8Upgrade-VM800:~$ gcc infix_to_postfix.c
krishnakripa@krishnakripa-K8Upgrade-VM800:~$ ./a.out
Enter the INFIX expression:((a/(b-c+d)))*(e-a)*c
The POSTFIX expression:abc-d+/ea-*c*
krishnakripa@krishnakripa-K8Upgrade-VM800:~$ ./a.out
Enter the INFIX expression:a/b-c+d*e-a*c
The POSTFIX expression:ab/c-de*+ac*-
krishnakripa@krishnakripa-K8Upgrade-VM800:~$
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