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'Display the Results Print Print Print Print Print , , "Values", "Deviations" Print For i = 1 To n Print , , x(i, 1), x(i, 2) Next I Print Print , , "Average = "; Average Print Print , , "Sum of Deviations = "; Sum End Sub
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Notice that the input data are provided through input boxes. The user is first prompted for the number of x-values. An error trap prevents the user from specifying a value greater than 10, because of the array size restriction. This is followed by a loop that enters each x-value, places each value in the first column of the array, and computes a cumulative sum. The average is then determined, after the loop has been completed. Note that command button Command2 is also enabled at this point, since n different x-values have now been provided. Once the average has been determined, another loop appears in which the deviations are calculated and placed in the second column of the array. The deviations are also summed, as a check on the computational accuracy. Finally, the results are displayed on the form with a series of Print statements. Notice that two commas follow the keyword Print in each of the non-empty Print statements. The commas force the data to be displayed on the right side of the form, beyond the command buttons. Here are the two remaining event procedures. The Cls (clear screen) statement in Command2_Click clears the printed display within the form. We then use a double loop to clear out the array elements. Note that the outer loop is used to process each row, and the inner loop processes both columns for a given row. Finally, the Clear button is again disabled, awaiting the next set of data.
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Private Sub Command2_Click() 'Clear the Form Cls 'Clear the Array If (n <= 10) Then For i = 1 To n For j = 1 To 2 x(i, j) = 0 Next j Next i End If Command2.Enabled = False End Sub
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Private Sub Command3_Click() End End Sub
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Now suppose we wish to execute the program for the following six x-values: x1 = 3 x2 = 2 x3 = 12 x4 = 4.4 x5 = 3.5 x6 = 0.8
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When the program is executed, we see the form shown in Fig. 8.13. If we then click on the Go button, we see the input box shown in Fig. 8.14. In this case, the user has provided a value of n = 6, indicating that six x-values will be provided. Clicking on OK then generates six different input boxes, each prompting for an x-value. Fig. 8.15 shows the first of the input boxes. The value is entered by clicking on the OK button.
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Fig. 8.13
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Fig. 8.14
Fig. 8.15
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When all six values have been entered, the x-values, the average and the list of deviations are calculated and displayed, as shown in Fig. 8.16. Note that the sum of the deviations is approximately 2.66 10 15, a value that is very close to zero but not identically zero because of numerical roundoff and truncation. Clicking on the Clear button restores the form to its starting condition, as shown in Fig. 8.13. A new set of data may then be entered. And, of course, clicking on the End button simply terminates the computation.
8.5 DYNAMIC ARRAYS
A dynamic array is an array whose size can be changed at various places within a program. To declare a dynamic array, we use the Dim statement, followed by the array name and an empty pair of parentheses; i.e.,
Dim array name ( ) As data type
Within a module but outside of a procedure, we can also use either the Private or the Public statement; i.e.,
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