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StacksINFIX_POSTFIX.cpp
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#include<iostream>
#include<stack>
#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;
}
//
// Function to return associativity of operators
char associativity(char c) {
if (c == '^')
return 'R';
return 'L'; // Default to left-associative
}
//
// The main function to convert infix expression
// to postfix expression
void infixToPostfix(string s) {
stack<char> st;
string result;
for (int i = 0; i < s.length(); i++) {
char c = s[i];
//
// If the scanned character is
// an operand, add it to the output string.
if ((c >= 'a' && c <= 'z') || (c >= 'A' && c <= 'Z') || (c >= '0' && c <= '9'))
result += c;
//
// If the scanned character is an
// ‘(‘, push it to the stack.
else if (c == '(')
st.push('(');
//
// If the scanned character is an ‘)’,
// pop and add to the output string from the stack
// until an ‘(‘ is encountered.
else if (c == ')') {
while (st.top() != '(') {
result += st.top();
st.pop();
}
st.pop(); // Pop '('
}
// If an operator is scanned
else {
while (!st.empty() && prec(s[i]) < prec(st.top()) ||
!st.empty() && prec(s[i]) == prec(st.top()) &&
associativity(s[i]) == 'L') {
result += st.top();
st.pop();
}
st.push(c);
}
}
//
// Pop all the remaining elements from the stack
while (!st.empty()) {
result += st.top();
st.pop();
}
//
cout << result << endl;
}
//
// Driver code
int main() {
string exp = "a+b*(c^d-e)^(f+g*h)-i";
//
// Function call
infixToPostfix(exp);
//
return 0;
}
//
//
// .....................Postfix evaluation.........................
//
//
#include <iostream>
#include <stack>
#include <string>
#include <cmath>
using namespace std;
bool isOperator(char c) {
return c == '+' || c == '-' || c == '*' || c == '/' || c == '^';
}
int performOperation(char operation, int operand1, int operand2) {
switch (operation) {
case '+': return operand1 + operand2;
case '-': return operand1 - operand2;
case '*': return operand1 * operand2;
case '/': return operand1 / operand2;
case '^': return pow(operand1, operand2);
default: return 0;
}
}
int evaluatePostfix(const string& expression) {
stack<int> operands;
for (char c : expression) {
if (isdigit(c)) {
operands.push(c - '0');
} else if (isOperator(c)) {
int operand2 = operands.top();
operands.pop();
int operand1 = operands.top();
operands.pop();
operands.push(performOperation(c, operand1, operand2));
}
}
return operands.top();
}
int main() {
string postfixExpression;
cout << "Enter a postfix expression: ";
getline(cin, postfixExpression);
int result = evaluatePostfix(postfixExpression);
cout << "Result: " << result << endl;
return 0;
}