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NotAsSmartAsYou

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vb.net code help

I am working on a class project, it's an on-line class so instructor help is hard to come by.  I'm not looking for the answer, just a nudge in the right direction.
The project is to create a Prime Number application using For...Next statements and the mod operator.  We are supposed to be able to enter any 2 numbers and the program should display all primes between.  Below is my code so far, do you guys see anything obvious? The error codes work well already. I've got about 8 weeks of experience, so don't laugh too hard!

    Private Sub CalcButton_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles CalcButton.Click

        Dim upper As Integer
        Dim lower As Integer
        Dim squareRoot As Integer

        'Declare variables
        lower = Val(LowerTextBox.Text)
        upper = Val(UpperTextBox.Text)
        squareRoot = Math.Sqrt(UpperTextBox.Text)

        ' Display error messages for invalid bounds
        If lower < 2 OrElse upper < 2 Then
            MessageBox.Show("Bounds must be greater than 1", _
            "Invalid Bounds", MessageBoxButtons.OK, _
            MessageBoxIcon.Error)
        Else
            If lower > Val(upper) Then
                MessageBox.Show("Upper bound cannot be less than lower bound", _
                "Invalid Bounds", MessageBoxButtons.OK, _
                MessageBoxIcon.Error)
            End If
        End If

        For counter As Integer = lower To upper
            For counter2 As Integer = lower To squareRoot
                'Call Prime function
                If Prime(counter, counter2) = True Then ResultsTextBox.AppendText(counter)
            Next
            ResultsTextBox.AppendText(vbCrLf)
        Next
    End Sub

    'Prime function
    Function Prime(ByVal counter As Integer, ByVal counter2 As Integer) As Boolean

        If counter2 Mod counter = 0 Then
            Return True
        Else : Return False
        End If

    End Function
Avatar of Mike Tomlinson
Mike Tomlinson
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It ~looks~ like you're attempting to use the Sieve of Eratosthenes?...
http://en.wikipedia.org/wiki/Sieve_of_Eratosthenes

You need to start with a list of numbers and then eliminate those in the list that are multiples of the previous ones (since they cannot be primes).  I think your instructor wants you to use the Mod() function to determine if one number is a multiple of another.  When done with all the eliminations, the numbers left in the list are prime!
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NotAsSmartAsYou

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That makes alot of sense.  So list all integers in the range, then test each item in that list (that doesn't have a multiple already in the list) to see if it's prime. If it is, append that item to the textbox.  Do I understand what you are saying?
You're not really testing each number to see if its prime...

What we're doing is testing each number to see if its a multiple of a previous number (thus eliminating it as a prime).

I think you'll need to start your list out with 2 (even though the entered lower bound might be higher) all go the way to your upper bound.  This is because the values in your range could be multiples of numbers lower than your range.  Once you know a value is actually a prime you just check to see if it is >= lower and <= upper.

Hint: Change the number of your function from Prime() to IsMultiple().  That should help you understand what to do with it!
Isn't that kind of what my code is doing?  Here's what I thought was happening, and maybe that's why it's wrong... The first for...next "counter" is going through integers one at a time and doing the mod calculation for each item in the 2nd for...next (counter2). If the mod=0 then return false, otherwise return true (this is backwards in above code but has since been fixed.) If prime = true, then append the integer in the textbox.  
*The algorithm section in the Wiki article should be of great help...try to translate that into code.

Do you know how to build a list of the numbers?
Sorry, posted at the same time.  I'll try it and get back.. Thanks!
Think about this True statement:

    6 Mod 2 = 0

Is 6 Prime?
I do not know how to buoild a list of numbers.  I would guess it would be something like
list as integer 2 to upper ???
I think I corrected already.  The code in my initial post was backwards.  I switched around true an false. It now says the following...

 If counter2 Mod counter = 0 Then
            Return False
        Else : Return True
        End If

See List(): http://msdn.microsoft.com/en-us/library/6sh2ey19.aspx

Something like:
Dim numbers As New List(Of Integer)
For n As Integer = 2 To upper
    numbers.Add(n)
Next n

Open in new window

Need to run and get the kids, I'll work on it shortly.  Thanks!
How do I access the list of numbers? numbers.each? Is this supposed to all be in the click event still or under the Prime function?
Private Sub CalcButton_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles CalcButton.Click

      Dim upper As Integer
      Dim lower As Integer
      Dim squareRoot As Integer
      Dim numbers As New List(Of Integer)

      For n As Integer = 2 To upper
         numbers.Add(n)
      Next n
      For counter As Integer = lower To upper
         If Prime(numbers.Count, counter) = True Then ResultsTextBox.AppendText(counter)
         ResultsTextBox.AppendText(vbCrLf)
      Next counter
    End Sub

    'Prime function
    Function Prime(ByVal numbers.count As Integer, ByVal counter As Integer) As Boolean

      If numbers.count Mod counter = 0 Then      '(Can I use the list in the function here?)
         Return False
      Else : Return True
      End If

   End Function
   End Class
You access the List "by index" with 0 (zero) as the first slot.

For example:

    For i As Integer = 0 To numbers.Count -1
        Debug.Print(i & ": " & numbers(i)) ' <-- outputs to the "Immediate Window" in the IDE
    Next

You can remove an item at a specific Index using the RemoveAt() method:
http://msdn.microsoft.com/en-us/library/5cw9x18z(VS.80).aspx

    numbers.RemoveAt(5) ' <--- removes the sixth element (remember it's zero based)
How's the project coming along?...
It's due sunday and I had some things going on last night, but back to work today!  I'm a little concerned that I am supposed to complete it using stuff I've already learned, but I don't think he can fault me for completing the project another way.
Are you referring to the List(of Integer)?

Have you learned Arrays yet?
No lists or arrays. Here are my requirements...

-Implement an appropriate loop to iterate from the lower to upper bound numbers
-Define a function procedure named Prime that returns True if a number is prime, False otherwise.
-Call the Prime function from the button click event procedure
-Send the number to the function as a by-value parameter
-Use an appropriate loop within the function to test whether the number is prime.
-Use an appropriate calculation and/or comparison to determine Prime. You must use the Mod operator.
-If the number is prime, display it in a multiline scrollable TextBox.

-Suggested Method: You can count from 2 to the square root of the number. Use the Mod operator to determine whether the number is divisible by the counter variable’s value (that is, the remainder is 0). If so, the number is NOT prime.
-Notice that you don't need to count all the way to your test number.
So, here's where I stand.  I'm trying to get back  to the instructions and I have the following code which displays a list of integers between 2 and the squareroot of the upper bound number.  Not too bad, but definitely not right.  Anyone have any idea where the math or logic is terribly wrong?  Idle, you've been a tremendous help so far.

       Private Sub CalcButton_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles CalcButton.Click

        Dim upper As Integer
        Dim lower As Integer
        Dim squareRoot As Integer

        'Declare variables
        lower = Val(LowerTextBox.Text)
        upper = Val(UpperTextBox.Text)
        squareRoot = Math.Sqrt(UpperTextBox.Text)

        ' Display error messages for invalid bounds
        If lower < 2 OrElse upper < 2 Then
            MessageBox.Show("Bounds must be greater than 1", _
            "Invalid Bounds", MessageBoxButtons.OK, _
            MessageBoxIcon.Error)
        Else
            If lower > Val(upper) Then
                MessageBox.Show("Upper bound cannot be less than lower bound", _
                "Invalid Bounds", MessageBoxButtons.OK, _
                MessageBoxIcon.Error)
            End If
        End If

        'create counter for
        For c As Integer = 2 To squareRoot
            If Prime(c, upper, lower) = True Then ResultsTextBox.AppendText(c)
            ResultsTextBox.AppendText(vbCrLf)
        Next c
    End Sub

    'Prime function
    Function Prime(ByVal c As Integer, ByVal lower As Integer, ByVal upper As Integer) As Boolean

        For i As Integer = lower To upper
            Prime = False
            If c Mod i = 0 Then
                Return False
            Else : Return True
            End If
        Next i

    End Function
Ok...got it.

Then your Prime() function should receive just ONE value "PrimeCandidate" (the one being tested).  INSIDE that Prime() function you'll loop from 2 to the Square Root of "PrimeCandidate".  If "PrimeCandidate" Mod {Loop Variable}  = 0 then it's NOT Prime (Return False immediately).  If you make it all the way thru the loop and exit the For...Next block, then you can Return True as the number IS a Prime (we didn't find any factors).

In the Button Click event you can simply loop from lower to upper and call Prime() for each one.
I think this code looks solid, but it returns a list of every other number from lower to upper.

16 - 50
17
19
21
23
25 etc... to
49

Anyways, here's the code...

        'create counter for
        For c As Integer = lower To upper
            If Prime(c, squareRoot) = True Then ResultsTextBox.AppendText(c) Else GoTo here
            ResultsTextBox.AppendText(vbCrLf)
here:
        Next c

    End Sub

    'Prime function
    Function Prime(ByVal c As Integer, ByVal squareRoot As Integer) As Boolean

        For i As Integer = 2 To squareRoot
            If c Mod i = 0 Then
                Return False
            Else : Return True
            End If
        Next i

    End Function
In your Prime() function, you need to Return True AFTER you pass the "Next i" line.
It is almost working! One last issue though. The first number in the output is contingent on the val of upper.  For example, if the range is 2-500, the first prime listed is 23.

2-700 it's 29
2-50 it's 11
400-500 it's 401
2-10000 it's 101
Here's the code for the issue listed above...

        'create counter for
        For c As Integer = lower To upper
            If Prime(c, squareRoot) = True Then ResultsTextBox.AppendText(c) Else GoTo here
            ResultsTextBox.AppendText(vbCrLf)
here:
        Next c

    End Sub

    'Prime function
    Function Prime(ByVal c As Integer, ByVal squareRoot As Integer) As Boolean

        For i As Integer = 2 To squareRoot
            If c Mod i = 0 Then
                Return False
            End If
        Next i
        Return True

    End Function
Reread my comments here:
https://www.experts-exchange.com/questions/26983708/vb-net-code-help.html#35491030

and also this from your requirements:

    -Suggested Method: You can count from 2 to the square root of the number. Use the Mod operator to determine whether the number is divisible by the counter variable’s value (that is, the remainder is 0). If so, the number is NOT prime.
    -Notice that you don't need to count all the way to your test number.

So you need to calculate the "squareroot" value INSIDE Prime() for the value of "c" that was passed in.

I would change your signature of Prime from:

    Function Prime(ByVal c As Integer, ByVal squareRoot As Integer) As Boolean

To:

    Function Prime(ByVal c As Integer) As Boolean

Now declare "squareRoot" inside Prime() and calculate it based on "c" before you enter the For...Next loop.
I think I've don what you suggested, but the results are exactly the same, Did I incorporate what you mentioned correctly?

    Private Sub CalcButton_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles CalcButton.Click

        Dim upper As Integer
        Dim lower As Integer

        'Declare variables
        lower = Val(LowerTextBox.Text)
        upper = Val(UpperTextBox.Text)

        ' Display error messages for invalid bounds
        If lower < 2 OrElse upper < 2 Then
            MessageBox.Show("Bounds must be greater than 1", _
            "Invalid Bounds", MessageBoxButtons.OK, _
            MessageBoxIcon.Error)
        Else
            If lower > Val(upper) Then
                MessageBox.Show("Upper bound cannot be less than lower bound", _
                "Invalid Bounds", MessageBoxButtons.OK, _
                MessageBoxIcon.Error)
            End If
        End If

        'create counter for prime number candidates
        For c As Integer = lower To upper
            If Prime(c) = True Then ResultsTextBox.AppendText(c) Else GoTo here
            ResultsTextBox.AppendText(vbCrLf)
here:
        Next c

    End Sub

    'Prime function
    Function Prime(ByVal c As Integer) As Boolean

        'declare variable
        Dim squareRoot As Integer

        'assign value to variable
        squareRoot = Math.Sqrt(Val(UpperTextBox.Text))

        'create counter for factor candidates
        For i As Integer = 2 To squareRoot
            If c Mod i = 0 Then
                Return False
            End If
        Next i
        Return True

    End Function
nevermind... saw that it is not calculated before for... next!  Hang on.
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Mike Tomlinson
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Fantastic! So helpful! Ever consider teaching this stuff?