Stacks and the STL library

Objective The objective of the homework assignment is to create a calculator program. The program will ask the user to enter a mathematical expression as an infix expression and your program will do two things. 1) It will covert the infix expression to postfix expression and display the result and 2) It will evaluate said expression. Program Details The program will only work with single integer digits (0, 1, 2, ..., 9) and the class string. There will be a minimum of three (3) functions: main, InfixToPostfix, and Evaluate. main: The main function will ask the user to enter an infix expression as a string and call the function InfixToPostfix passing the string as an argument. Then main will pass the string that InfixToPostfix returns to a function call to Evaluate. Main will then display the infix string the user enter, the postfix string, and finally the answer from Evaluate. Finally, main will ask the user if they wish to calculate another expression. InfixToPostfix: The function will take as argument a string and return a string. The purpose of the function is to use the STL library stack and the algorithm we discussed in class to convert an infix string expression to a postfix string expression. Evaluate: The function will take as argument a string and return a double (yes, you read that right). It will return a double because there could be an integer division! The purpose of the function is to use the STL library stack and the other algorithm we discussed in class to evaluate a postfix mathematical expression. Operators: What kind of operators are we going to work with? Simple math operators +, 0, 0, 0, and exponent/power function. where is for an Notes You can create and use more functions if you like, however, the only requirement will be to have at least the three functions mentioned in the Program Details. Make sure you follow the Coding Style Guidelines ! You can use the cctype library for the isdigit function and the cmath library for the power/exponent function (pow). Lastly, your program should work if the user enters spaces or no spaces between the values and operators. Enter an infix expression to evaluate: (3 + 5) * (4 + 3 / 2) - 5 Infix: (3 + 5) * (4 + 3 / 2) - 5 Postfix: 35 + 4 3 2 / + * 5 - Ans: 39 Would you like to try again (Y/N)? Y Enter an infix expression to evaluate: 7 * 6 + 5 Infix: 7 * 6 + 5 Postfix: 76 # 5 + Ans: 47 Would you like to try again (Y/N)? y Enter an infix expression to evaluate: 3 + (4 * 5) Infix: 3+ + (4 * 5) Postfix: 3 4 5 * + Ans: 23 Would you like to try again (Y/N)? y Enter an infix expression to evaluate: 3 + 6 * 7 * 8 - 3 Infix: 3 + 6* 7 * 8 - 3 Postfix: 3 6 7 * 8 * + 3 - Ans: 336