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End Sub
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Private Sub Command3_Click() End End Sub
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Fig. 7.17
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PROCEDURES
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[CHAP. 7
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When event procedure Command1_Click is first entered, the angle is changed from degrees to radians using the formula r = 2 d/360 where r = the angle in radians d = the angle in degrees
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The evaluation of the series expansion is then carried out in a For Next loop. Note that the series includes a coefficient C whose value alternates between +1 and 1. This computational shortcut has the same effect as raising 1 to various powers within the loop (as shown in the series expansion), thus avoiding some unnecessary multiplication. When the program is executed, it displays the value of sin(x) as determined by the first n terms of the series, and the correct value of sin(x) as determined by the Visual Basic library function. Some representative results are shown in Fig. 7.17, where sin(75 ) is determined as 0.9658952 using the first four terms of the series expansion, and 0.9659258 using the Visual Basic library function. Note that the results agree to four significant figures; i.e., sin(75 ) = 0.9659 using either method. You may wish to experiment with this program by specifying the same angle and trying different values of n. Or, by investigating the accuracy of the approximation for a given value of n when the angle is varied.
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7.5 SCOPE Scope refers to the portion of a program within which a procedure definition (or a variable or named constant definition) is recognized. The scope of a sub procedure is determined by the identifier Public or Private, which precedes the procedure name; e.g.,
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Public Sub procedure name (arguments)
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Private Sub procedure name (arguments)
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Similarly, the scope of a function procedure is determined as
Public Function procedure name (arguments) As data type
Private Function procedure name (arguments) As data type
A Public procedure can be accessed from any module or form within a program, whereas a Private procedure will be recognized only within the module or form within which it is defined. The default is Public. Hence, if a programmer-defined procedure does not include a Public/Private specification (as in the examples presented earlier in this chapter), it is assumed to be Public. Note, however, that event procedures automatically include the designation Private when they are created. When a Public procedure is accessed from a module or form other than the module or form containing the module definition, the procedure name must be preceded by the form name containing the definition; e.g.,
Call form name.procedure name (arguments)
for a sub procedure access. Function procedures are accessed similarly, with the form name containing the function definition preceding the function name; e.g., variable = form name. function name (arguments)
CHAP. 7]
PROCEDURES
Variables and named constants that are defined within a procedure are local to that procedure. However, variables and named constants can also be declared within a module, external to any procedures defined within the module. Such variables (or named constants) can be declared Public or Private; e.g.,
Private variable name As data type
Public variable name As data type
In the first example (Private), the variable will be recognized anywhere within the module in which it is declared, but not in other modules. If a different (local) variable with the same name is declared within a procedure, then the local variable can be referenced within the procedure simply by its name. The (global) variable declared outside of the procedure can also be referenced within the procedure, by prefixing its name with the form name; e.g., form name.variable name
EXAMPLE 7.8
Here is a skeletal outline of a module containing both a global and a local variable having the same name.
Private Factor As Integer Private Sub Sample() Dim Factor As Integer . . . . . Form1.Factor = 3 Form2 = 6 . . . . . End Sub
assign 3 to the global variable assign 6 to the local variable
Note that the use of multiple variables having the same name is generally not recommended.
If a variable is declared to be Public within a module, then the variable will be recognized anywhere within the entire project. The variable can be referenced within the module in which it is declared simply by its name (unless it is referenced within a procedure containing a local variable with the same name, as described previously). To reference the variable within other modules, it must be preceded by its form name.
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