Algorithms and Me: Stacks : Infix to postfix conversion


Key Point: Using Stack
Java code from http://people.cs.clemson.edu/~turner/courses/cs102/spring98/section2/assignments/asg4/InfixToPostfix.java

int is_operand(char op){
if(op == '+' || op == '-' || op == '*' || op == '/' || op =='%')
return 1;
return 0;
}
/* This function returns associated precedence to an operator */
int precedence(char op){
switch (op){
case '+' :
case '-' :
return 1;
case '/' :
case '*' :
return 2;
case '%' :
return 3;
default :
return 4;
}
}
/* This function tell if the op1 has lower precedence than op2 */
int lower_precedence(char op1, char op2){
if(precedence (op1) < precedence(op2))
return 1;
return 0;
}
void infix_to_postfix(cahr *s){
stack ms;
char *post = p;
char temp;
/* Wrong input */
if(s== NULL) return ;
if(*s == '\0') return ;
/* Case 1. If '(', push on to stack */
if(*s == '('){
push(&ms, *s);
}
/* Case 2. If ')', pop all op from stack till we see ')', Discard ')' */
else if(*s == ')'){
while(!is_empty(ms) && peek(ms) != '('){
*p = pop(&ms);
p++;
}
if(!is_empty(ms))
pop(&ms);
}
/* Case 3. If it is operator, pop all op on stack which are of higher
precedence than it. Push this onto stack */
else if(is_operand(*s)){
while(!is_empty(ms) && (!lower_precedence(peek(ms), *s))){
*p = pop(&ms);
p++;
}
push(&ms, *s);
}
/* Case 4. If it neither of above, add it to postfix expression */
else{
*p = *s;
p++;
}
s++;
}
/*Flush all ops from stack once infix is completely visited */
while(!is_empty(ms)){
*p = pop(&ms);
p++;
}
printf("\nPostfix expression is : ");
printf("%s\n" , post);
}
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