infix to postfix.cpp

#include<iostream>
#include<string>
#define MAX 20
using namespace std;

char stk[20];
int top=-1;
// Push function here, inserts value in stack and increments stack top by 1
void push(char oper)
{
    if(top==MAX-1)
    {
        cout<<"stackfull!";
    }

    else
    {
        top++;
        stk[top]=oper;
    }
}
// Function to remove an item from stack.  It decreases top by 1
char pop()
{
    char ch;
    if(top==-1)
    {
        cout<<"stackempty!";
    }
    else
    {
        ch=stk[top];
        stk[top]='\0';
        top--;
        return(ch);
    }
    return 0;
}
int priority ( char sign )
{
    if(sign == '+' || sign =='-')
    {
        return(1);
    }

    if(sign == '*' || sign =='/')
    {
        return(2);
    }

    if(sign == '$')
    {
        return(3);
    }

    return 0;
}
string convert(string infix)
{
    int i=0;
    string postfix = "";
    while(infix[i]!='\0')
    {
        if(infix[i]>='a' && infix[i]<='z'|| infix[i]>='A'&& infix[i]<='Z'|| infix[i]>='0' && infix[i]<='9')

        {
            postfix.insert(postfix.end(),infix[i]);
            i++;
        }
        else if(infix[i]=='(' || infix[i]=='{'  || infix[i]=='[')
        {
            push(infix[i]);
            i++;
        }
        else if(infix[i]==')' || infix[i]=='}'  || infix[i]==']')
        {
            if(infix[i]==')')
            {
                while(stk[top]!='(')
                {               postfix.insert(postfix.end(),pop());
                }
                pop();
                i++;
            }
            if(infix[i]==']')
            {
                while(stk[top]!='[')
                {
                    postfix.insert(postfix.end(),pop());
                }
                pop();
                i++;
            }

            if(infix[i]=='}')
            {
                while(stk[top]!='{')
                {
                    postfix.insert(postfix.end(),pop());
                }
                pop();
                i++;
            }
        }
        else
        {
            if(top==-1)
            {
                push(infix[i]);
                i++;
            }

            else if( priority(infix[i]) <= priority(stk[top])) {
                postfix.insert(postfix.end(),pop());

                while(priority(stk[top]) == priority(infix[i])){
                    postfix.insert(postfix.end(),pop());
                    if(top < 0) {
                        break;
                    }
                }
                push(infix[i]);
                i++;
            }
            else if(priority(infix[i]) > priority(stk[top])) {
                push(infix[i]);
                i++;
            }
        }
    }
    while(top!=-1)
    {
        postfix.insert(postfix.end(),pop());
    }
    cout<<"The converted postfix string is : "<<postfix;
    return postfix;
}

int main()
{
    string infix, postfix;
    cout<<"\nEnter the infix expression : ";
    cin>>infix;
    postfix = convert(infix);
    return 0;
}