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Private Type StateRecord Name As String * 15 Capital As String * 15 End Type Private Sub Form_Load() Form1.Caption = "Creating a Random Access Data File" Label1.Caption = "States and their Capitals" Label1.FontSize = 12 Label1.Alignment = 2 'center text End Sub

m = m + 1;

Two right triangles are similar if an acute angle of one is congruent to an acute angle of the other (corollary of Principle 3). A line parallel to a side of a triangle cuts off a triangle similar to the given triangle.

they simply increase the value of m by 1. Similarly, the expression statements --n and n-are both equivalent to the assignment

PRINCIPLE 7:

n = n - 1 ;

Fig. 7-11

they simply decrease the value of n by 1. (The increment operator ++ was used in the name C++ because it increments the original C programming language; it has everything that C has, and more.) However, when used as subexpressions (i.e., expressions within expressions), the pre-increment operation ++m is different from the post-increment operation m+ +. The pre-increment increases the variable first before using it in the larger expression, whereas the post-increment increases the value of the variable only after using the prior value of the variable within the larger expression. Since the incrementing process is equivalent to a separate assignment, there are really two statements to be executed when the increment operation is used as a subexpression: the incrementing assignment and the larger enclosing statement. The difference between the pre-increment and the post-increment is simply the difference between executing the assignment before or after the enclosing statement.

Fig. 7-12

CHAP. l]

This shows the difference between the pre-increment and the post-increment:

(Continues on next page)

PRINCIPLE 8: PRINCIPLE 9:

operators:

Triangles similar to the same triangle are similar to each other. The altitude to the hypotenuse of a right triangle divides it into two triangles which are similar to the given triangle and to each other. Triangles are similar if their sides are respectively parallel to each other. Triangles are similar if their sides are respectively perpendicular to each other.

m = 66, n; ++m; << -x m << '1, n = C-C n C-C endl; m++; << I m = m n = cc n << endl; << m cc endl; tout -x I'm = '1 C-K ++m << endl; return 0;

PRINCIPLE 10:

In the first assignment, m is pre-incremented, increasing its value to 67, which is then assigned to n. In the second assignment, m is post-incremented, so 67 is assigned to n and then m is increased to 68. In the third output statement, m is post-incremented, so the current valueof m (68) is dropped into the output stream and then m is increased to 69. In the last output statement, m is pre-incremented, so m is increased to 70 firstandthen that value is dropped into the output stream.

PRINCIPLE 11:

Use of the increment and decrement operators as subexpressions can be tricky and should be used with caution. For example, the order of evaluations of expressions that involve them is not defined by the language and consequently can be unpredictable:

EXAMPLE 1.19 The Unpredictablilty of the Order of Evaluation of Subexpressions #include main0 int n = x = ++n tout << tout << 5, x; * --n; "n = ' << n <=c ', x = ' C-K x -CC endl; ++n << u '1 << ++n << 'I ' << ++n << endl; <iostream.h>

Fig. 7-13

In the assignment to x, n is first increment to 6 and then decremented back to 5 before the multiply operator is evaluated, computing 5 * 5. In the last line, the three subexpressions are evaluated from right to

CHAP. 9]

Fig. 7-14

int { 1

7.17 Applying principle 2 In similar triangles ABC and A B C (Fig. 7-15), find x and y if /A > /A and /B > /B .

Rational&

Fig. 7-15

y.num*x.den);

x Since /A > /A and /B > /B , x and y correspond to 32 and 26, respectively. Hence, 32 y 15 so y 191. from which x 24; also 2 26 20 15 , 20