// Function: get_corrected_number
        // Description: Runs Luhn's algorithm on a given number, and then returns the number with the proper check digit.
        // Uses Functions: get_last_digit
        // Parameters: Number being corrected.
        // Pre-Conditions: Positive integer input.
        // Post-Conditions: Number passes Luhn's algorithm.
        // Return:
        public static ulong get_corrected_number(ulong num)
        {
            int sum        = 0;
            int checkDigit = CardFunctions.get_last_digit(num);

            int[] digits           = num.ToString().Select(Convert.ToInt32).ToArray(); // Convert num into array of digits.
            int   everyOtherNumber = 0;                                                // For tracking every other number.

            for (int i = digits.Length - 2; i >= 0; i--)                               // Run through digits in reverse order, skipping the ending digit.
            {
                digits[i] -= 48;                                                       // Convert char value to digit value.
                if (everyOtherNumber % 2 == 0)
                {
                    digits[i] *= 2;
                    if (digits[i] > 9)
                    {
                        digits[i] -= 9;
                    }
                }
                sum += digits[i];
                everyOtherNumber++;
            }

            return(num - Convert.ToUInt32(checkDigit) + Convert.ToUInt32(sum * 9) % 10); // Replace the last digit with the correct checkDigit.
        }
        // Function: luhn_check
        // Description: Runs Luhn's algorithm on a given number.
        // Uses Functions: get_last_digit
        // Parameters: Number being tested.
        // Pre-Conditions: Positive integer input.
        // Post-Conditions: Bool output.
        // Return: false - passes algorithm, true - does not pass algorithm.
        public static bool luhn_check(ulong num)
        {
            int sum        = 0;
            int checkDigit = CardFunctions.get_last_digit(num);

            int[] digits           = num.ToString().Select(Convert.ToInt32).ToArray(); // Convert num into array of digits.
            int   everyOtherNumber = 0;                                                // For tracking every other number.

            for (int i = digits.Length - 2; i >= 0; i--)                               // Run through digits in reverse order, skipping the ending digit.
            {
                digits[i] -= 48;                                                       // Convert char value to digit value.
                if (everyOtherNumber % 2 == 0)
                {
                    digits[i] *= 2;
                    if (digits[i] > 9)
                    {
                        digits[i] -= 9;
                    }
                }
                sum += digits[i];
                everyOtherNumber++;
            }
            digits[digits.Length - 1] -= 48;    // Convert check digit char value to digit value.

            // Number does not pass the test if the calculated check digit does not match the original last digit.
            if ((sum * 9) % 10 != checkDigit)
            {
                return(true);
            }
            else
            {
                return(false);
            }
        }