InfixToPostfix_Cpp

Approach: The code implements a basic calculator/converter that reads an infix expression, converts it to postfix notation, and evaluates the result. It utilizes two custom stack classes, Stack for string elements and IntStack for double elements.

Algorithm Used:

1. The Stack class performs infix to postfix conversion using the Shunting Yard algorithm.
2. The IntStack class handles the evaluation of postfix expressions.
3. The code uses two stacks to convert infix to postfix and then evaluate the postfix expression.

Intuition:

1. Infix to Postfix Conversion:

   • The checkOperator function categorizes operators and parentheses.
   • The InfixToPostFix method uses two stacks to convert the infix expression to postfix.
   • It considers operator precedence and handles parentheses.

2. Evaluation of Postfix Expression:

   • The Evaluate method uses a stack to evaluate the postfix expression.
   • It iterates through the postfix expression, performing operations on operands.

3. Reverse Functionality:

   • The reverse method reverses the order of elements in the stack.

4. User Interaction:

   • The main function reads an infix expression, displays the infix, converts to postfix, displays postfix, and finally evaluates and displays the result.

The overall code structure facilitates the step-by-step processing of infix expressions, making it easy to understand and extend.