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infix_postfix.c
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#include<stdio.h>
#include<stdlib.h>
#define N 20
int isoperand(char c)
{
if((c>='a' && c<='z') || (c>='A' && c<='Z') || (c>='0' && c<='9'))
return 1;
else
return 0;
}
void PUSH(char s[],int *top,char val)
{
if((*top)<(N-1))
s[++(*top)]=val;
else
printf("Stack Overflow\n");
}
int POP(char s[],int *top)
{ char val;
if((*top)>-1)
{
val=s[(*top)--];
return val;
}
else
{
printf("Stack Underflow\n");
exit(-1);
}
}
int READ(char s[],int *top)
{
if((*top)>-1)
{
return s[(*top)];
}
else
{
printf("Stack Underflow\n");
exit(-1);
}
}
int prec(char j)
{
if(j=='^')
return (3);
else if(j=='*'||j=='/')
return(2);
else if(j=='+' || j=='-')
return(1);
else return 0;
}
int associativity(char ch)
{
if((ch == '+')||(ch == '-')||(ch == '*')||(ch == '/'))
return 1;
else
return 2;
}
void infixtopostfix(char infix[])
{
char s[N]; char postfix[N]={0};
int top=-1;
int i=0,p=0;
while(infix[i]!='\0')
{
if(isoperand(infix[i]))
{
postfix[p]=infix[i];
p++;
i++;
}
else if(infix[i]=='(')
{
PUSH(s,&top,infix[i]);
i++;
}
else if(infix[i]==')')
{
while(READ(s,&top)!='(')
{
postfix[p++]=POP(s,&top);
}
POP(s,&top);
i++;
}
else
{
if(top==-1 || READ(s,&top)=='(')
{
PUSH(s,&top,infix[i++]);
}
else if(prec(infix[i])>prec(READ(s,&top)))
{
PUSH(s,&top,infix[i]);
i++;
}
else
{
if(READ(s,&top)!=infix[i])
postfix[p++]=POP(s,&top);
else
{
if(associativity(infix[i])==1)
postfix[p++]=POP(s,&top);
else
PUSH(s,&top,infix[i++]);
}
}
}
}
while(top!=-1)
postfix[p++]=POP(s,&top);
printf("The Postfix expression : %s \n",postfix);
}
int main()
{
char infix[80];
printf("Enter the infix equation :");
scanf("%s",infix);
infixtopostfix(infix);
}
/*
OUTPUT
Enter the infix equation :a+b*(c^d-e)^(f+g*h)-i
The Postfix expression : abcd^e-fgh*+^*+i-
Enter the infix equation :a+b+c
The Postfix expression : ab+c+
*/