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class Rational { public: Rational0 { num = 0; den = 1; Rational(int n) { num = n; den Rational(int n, int d) ( num = void print0 { tout C-C num << private: int num, den;

Initial values will not be assigned to any of the control properties Instead, these initial property assignments will be made at run time In addition to the two control arrays, Fig 825 also shows the placement of an ordinary label (Label2), which will be used as a title, and two command buttons (Command1 and Command2), which will become Go and Quit, respectively The initial property values for these controls will be assigned at run time, along with the required control array property values Now consider the event procedure Form_Load, which follows Fig 825 This procedure begins with a declaration (Count), followed by caption assignments for the individual elements in each of the two control arrays These assignments are followed by a simple loop that assigns font sizes and visibility status to the control array elements, as required.

main0 { Rational x, y(4), z(22,7); tout << X = I; x.print 1 . tout << l&y - 1 . I y.print 1 . tout << ll;nz - 1 . I z.print 1 ; 1

When we believe this postulate, we believe that we have a plane with no end in any direction on which we could find circles with ever-larger radii. It could be that this leads to circles like ripples on the surface of a still pond, as shown in Fig. 19-2(a). However, if our plane were more like the surface of the Earth, our circles might look more like the circles of latitude, shown in Fig. 19-2(b).

CHAP. S]

Fig. 19-2

The output looks like this:

POSTULATE 4:

This version of the Rat ional class has three constructors. The first has no parameters and initializes the declared object with the default values 0 and 1. The second constructor has one integer parameter and initializes the object to be the fractional equivalent to that integer. The third constructor is the same as in Example 8.2.

This postulate enables us to measure angles in degrees. A plane would have to be somehow lumpy or uneven if some right angles could be bigger than others.

Among the various constructors that a class may have, the simplest is the one with no parameters. It is called the default constructor. If this constructor is not explicitly declared in the class definition, then the system will automatically create it for the class. That is what happens in Example 8.1.

8.4 CONSTRUCTOR INITIALIZATION LISTS Most constructors do nothing more than initialize the object s member data. Consequently, C++ provides a special syntactical device for constructors that simplifies this code. The device is an initialization list. Here is the third constructor in Example 8.2, rewritten using an initialization list:

POSTULATE 5:

Following the control array property assignments, we see a caption assignment for the form, and caption/font size assignments for the remaining controls In addition, the Alignment property associated with Label2 is assigned a value that will cause the caption to be centered within the label..

Rational(int n, int d) : mm(n), den(d) { }

Through a given point not on a given line, one and only one line can be drawn parallel to a given line. ( 4, Parallel-Line Postulate)

The assignment statements in the function s body that assigned n to num and d to den are removed. Their action is handled by the initialization list shown in boldface. Note that the list begins with a colon and precedes the function body which is now empty. Here is the Rat ional class with its three constructors rewritten using initializer lists.