convert infix to postfix
/* C++ implementation to convert
infix expression to postfix*/
// Note that here we use std::stack
// for Stack operations
#include<bits/stdc++.h>
using namespace std;
//Function to return precedence of operators
int prec(char c)
{
if(c == '^')
return 3;
else if(c == '*' || c == '/')
return 2;
else if(c == '+' || c == '-')
return 1;
else
return -1;
}
// The main function to convert infix expression
//to postfix expression
void infixToPostfix(string s)
{
std::stack<char> st;
st.push('N');
int l = s.length();
string ns;
for(int i = 0; i < l; i++)
{
// If the scanned character is
// an operand, add it to output string.
if((s[i] >= 'a' && s[i] <= 'z') ||
(s[i] >= 'A' && s[i] <= 'Z'))
ns+=s[i];
// If the scanned character is an
// ‘(‘, push it to the stack.
else if(s[i] == '(')
st.push('(');
// If the scanned character is an ‘)’,
// pop and to output string from the stack
// until an ‘(‘ is encountered.
else if(s[i] == ')')
{
while(st.top() != 'N' && st.top() != '(')
{
char c = st.top();
st.pop();
ns += c;
}
if(st.top() == '(')
{
char c = st.top();
st.pop();
}
}
//If an operator is scanned
else{
while(st.top() != 'N' && prec(s[i]) <=
prec(st.top()))
{
char c = st.top();
st.pop();
ns += c;
}
st.push(s[i]);
}
}
// Pop all the remaining elements from the stack
while(st.top() != 'N')
{
char c = st.top();
st.pop();
ns += c;
}
cout << ns << endl;
}
//Driver program to test above functions
int main()
{
string exp = "a+b*(c^d-e)^(f+g*h)-i";
infixToPostfix(exp);
return 0;
}
// This code is contributed by Gautam Singh
"""
Author : ITVoyagers (itvoyagers.in)
Date :31st October 2019
Description : Program to show use of stack in infix to postfix conversion using python.
"""
class infix_to_postfix:
precedence={'^':5,'*':4,'/':4,'+':3,'-':3,'(':2,')':1}
def __init__(self):
self.items=[]
self.size=-1
def push(self,value):
self.items.append(value)
self.size+=1
def pop(self):
if self.isempty():
return 0
else:
self.size-=1
return self.items.pop()
def isempty(self):
if(self.size==-1):
return True
else:
return False
def seek(self):
if self.isempty():
return false
else:
return self.items[self.size]
def isOperand(self,i):
if i in 'ABCDEFGHIJKLMNOPQRSTUVWXYZ':
return True
else:
return False
def infixtopostfix (self,expr):
postfix=""
print('postfix expression after every iteration is:')
for i in expr:
if(len(expr)%2==0):
print("Incorrect infix expr")
return False
elif(self.isOperand(i)):
postfix +=i
elif(i in '+-*/^'):
while(len(self.items)and self.precedence[i]<=self.precedence[self.seek()]):
postfix+=self.pop()
self.push(i)
elif i is '(':
self.push(i)
elif i is ')':
o=self.pop()
while o!='(':
postfix +=o
o=self.pop()
print(postfix)
#end of for
while len(self.items):
if(self.seek()=='('):
self.pop()
else:
postfix+=self.pop()
return postfix
s=infix_to_postfix()
expr=input('enter the expression ')
result=s.infixtopostfix(expr)
if (result!=False):
print("the postfix expr of :",expr,"is",result)