Question

I have to write an initial algorithm and a refined algorithm for the following problem:

Display the square of numbers from 0 to some user inputted value. For example if the user enters 3 then the program will need to display the square of 0, 1, 2 and 3. Must use a counter loop. Must use 2 methods. One method that gets the number from the user and returns it. A second method is passed that number as a parameter then the method display the squares. So all main does is call the methods and gets the data from one method and passes it to the other.

I'm also suppose to use modules for this. I guess I'm just not sure how to even begin writing the initial algorithm down to the refined algorithm. Any help or explanation would be much appreciated, thank you!

This is what I have written so far:

Initial Algorithm:

Declare variables

Get user input

Set counter equal to 0

Initiate counter loop

Get squares of all numbers up until user’s input number

Display squares

Data Requirements:(I/O)

Input – user number

Output – square of numbers up until user’s input number

Formulas:

User input + user input * user input

         

Refined Algorithm:

Module Main()

         

          Declare int userNumber

         

         

          Get the user number

                   Display “Enter a number”

                   Input userNumber

         

          Calculate square of numbers up to user input number

                    Call CalculateSquares

           

            Calculate square of user input one number at a time

                   Call CalculateSquare

End Module Main

Module CalculateSquares

Counter = 1

While counter <= userNumber

1. Set counter = counter + 1
2. Display “The square of” + counter + “is” + counter * counter, EOL

End Module CalculateSquares

Module CalculateSquare

Answer 1

The initial algorithm what you have mentioned is seems to be correct.

The refined algorithm is as follows:

Module Main()
  DECLARE int num
  SET num = call getUserInput()
  call computeSquares(num)
End Module

Module getUserInput()
 Display "Enter a number"
 Input number
 return number
End Module

Module computeSquares(int inputNumber)
  DECLARE int counter
  SET counter = 0
  WHILE counter <= inputNumber
    call computeIndividualSquare(counter)
    INCREMENT counter
  ENDWHILE
End Module

Module computeIndividualSquare(int counter)
  Display "The square of "+counter+" is "+(counter*counter)
End Module

Explanation:

There are four functions in the refined algorithm:

• getUserInput() function to get the input from the user and return it.
• computeIndiviualSquare() function to compute a square of a number (Number has to be passed as parameter in this case counter variable). This function also used to display the output. If you wish you can create a separate module to display the output.
• computeSquares() function to loop till counter, increment the value of the counter and call the function computeIndividualSquare to compute square of each value of counter
• Main() module is used to call the two methods. One is getUserInput() an another one is computeSquares(). It passes the user input value to the computeSquares() module.