Can't compare types of variables in C++

I have following function within a class, which gets real part of a complex number:

double inputReal(){
        double real;
        cout << "Enter real part: ";
        cin >> real;
        bool compare = typeid(real) == typeid(double);
        while (compare != true){
            cout << "Incorrect input. Try another input: ";
            cin >> real;
        }
        return real;
    }

It should check if real is actually a number and if real isn’t a number – it should get another input. However, if I try inputing something like: "aa" or "#@", it skips the while part and proceeds to output, ignoring getting the imaginary part:

double inputImag(){
        double imaginary;
        cout << "Enter imaginary part: ";
        cin >> imaginary;
        bool compare = typeid(imaginary) == typeid(double);
        while (compare != true){
            cout << "Incorrect input. Try another input: ";
            cin >> imaginary;
        }
        return imaginary;
    }

Output, if I try inputing "aa" as a real part:

Enter real part: aa
Enter imaginary part: Absolute value of complex number: 0
Argument of complex value: 0
Program ended with exit code: 0

The code works just fine, if I input correctly, so I suspect it’s the comparison of types within those functions. I need to know what did I do wrong and how I can fix it. I’m relatively new to C++ and my college professor requires checking, that user inputs correctly. Feel free to ask anything, if the question seems unclear.

>Solution :

typeid(real) == typeid(double) will always be true since real is a double.

If you want to check that you have valid input, you need to actually check the input. Here is one way of doing that

double inputReal()
{
    std::size_t end_pos{};
    std::string input;
    std::cout << "Enter real part: ";
    while (getline(std::cin, input))              // get the full line of input
    {
        double real = std::stod(input, &end_pos); // convert to double 
        if (end_pos == input.size())              // check to see if all of the input was converted
            return real;
        else
            std::cout << "Incorrect input. Try another input: ";
    }
}