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123 X. 42nd Tt., oz, oz 10020-1095

Fig. 7-6

friend istream& operator>>(istream& { return istr x= t.d; }

4 4 4

istr, T& t)

(b) AB iCD iE F; hence,

Here, is tream is another standard class defined (indirectly) in the ios tream . h header file. Here is an example of how custom input can be written:

29 Describe three different ways to step through a program beyond a breakpoint using Step Over 630 Describe three different ways to step through a program beyond a breakpoint using Step Out 631 When stepping through a program, how can you tell which statement is about to be executed 632 What is a user-induced error How do user-induced errors differ from syntactic errors and logical errors 633 What is an error handler 634 What is the purpose of the On Error-GoTo statement 635 What is a label Within a given statement, how can a label be identified 636 What is the purpose of the Resume statement 637 Describe three different forms of the Resume statement What is the purpose of each 638 What is the purpose of the On Error GoTo 0 statement 6.

class Rational { friend istream& operator>>(istream&, Rational&); const Rational&); friend ostream& operatorcc(ostream&, public: Rational(int n=O, int d=l) : num(n>, den(d) { } // other dec larations go here private: int num, den int gcd(int, int); void reduce( > ; > ; main0 Rational x, y; tin >> x >> y; tout CC 'x = ' CC x CC ', y = ' CC y C-C endl;

7.15 Applying principle 4 Find x in each part of Fig. 7-7.

istream&

Fig. 7-7

operator>>(istream&

(a) BD bisects /B; hence, x 18 and x 12. 10 15 3x 1 10 30 . Thus, 21x (b) BD bisects /B; hence, 2x 21 7

istr, Rational& "; ";

Given: EG i BD, EF i BC To Prove: FG i CD Plan: Prove that FG divides AC and AD proportionately. PROOF:

tout CC "\t Numerator: tout CC "\tDenominator: r.reduce(); return istr;

istr >> r.num; istr X= r.den;

2. A line (segment) parallel to one side of a triangle divides the other two sides proportionately. 3. Substitution postulate 4. If a line divides two sides of a triangle proportionately, it is parallel to the third side.

39 What is the purpose of the Exit Sub statement 640 Are Resume and Exit Sub required in all programs that include an error handler Explain..

This version of the input operator includes user prompts to facilitate input. It also includes a call to the utility function reduce ( ) . Note that, as a friend, the operator can access this private function.

Similar polygons are polygons whose corresponding angles are congruent and whose corresponding sides are in proportion. Similar polygons have the same shape although not necessarily the same size. The symbol for similar is ,. The notation nABC , nA B C is read triangle ABC is similar to triangle A-prime B-prime C-prime. As in the case of congruent triangles, corresponding sides of similar triangles are opposite congruent angles. (Note that corresponding sides and angles are usually designated by the same letter and primes.) In Fig. 7-8 nABC , nA B C because m/A and m/A 37 a ar m/B b br m/B c cr or 53 6 3 m/C 8 4 m/C 10 5 90

9.8 CONVERSION OPERATORS In our original implementation of the Rat ional class (Example 8.1) we defined the member function convert ( > to convert from type Rational to type double:

Fig. 7-8

double convert0 x.convert(); { return double(num)/den; }

Fig. 7-9

This requires the member function to be called as In keeping with our goal to make objects of the Rat ional class behave like objects of fundamental types (i.e., like ordinary variables), we would like to have a conversion function that

See Fig. 18-14.

could be called with a syntax that conforms to ordinary type conversions:

n = int(t); Y = double(x);

Fig. 18-14

CHAP. 6]

This can be done with a conversion operator. Our Rat ional class already has the facility to convert an object from in t to Rat ional: