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Rational& operator=(const Rational&); // other declarations go here private: int num; int den; // other declarations go here }; The function prototype is inserted in the class declaration, above the public section and the arguments are passed by constant reference. Now we can implement this nonmember just as we had expected: Rational operator* (const Rational& x, const Rational& y) { Rational z(x.num*y.num, x.den*y.den); return z; } Note that the keyword friend is not used in the function implementation. Also note that the scope resolution prefix Rational:: is not used because this is not a member function. Here is a little program that uses our improved Rational class: Example 9.5 Rational with Assignment and Multiplication Rational x(22,7), y(-3,8), z; z = x; // assignment operator called z.print( ); cout <<endl; x = y*z; // multiplication operator called x.print( ); cout <<endl; The reduce( ) function would be called from within the overloaded multiplication operator to reduce -66/56 to 33/28. Overloading the Arithmetic Assignment Operators C++ allows you to combine arithmetic operations with the assignment operator: for example, using x*=y in place of x=x*y. All combination operators can be overloaded for use in your own classes. Example 9.6 the Rational Class with an Overloaded *= Rational& Rational::operator* = (const Rational& r) { num=num*r.num; den=den*r.den;
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return *this; }
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The operator operator*= has the same syntax and nearly the same implementation as the basic assignment operator operator=. By returning *this, the operator can be chained (x *= y *= z ;) It is also important to ensure that overloaded operators perform consistently with each other. For example, (x=x*y;) and (x*=y;) should have the same effect, even though they call different operators. Overloading the Relational Operators The relational operators <, >, <=, >=, ==, and != can be also be overloaded as friend functions. Example 9.7 Overloading the Rational Equality Operator == Like other friends, the == operator is declared above the public section of the class:
class Rational { friend int operator == (const Rational&, const Rational&); // other declarations go here public: // other declarations go here private: int num, den; // other declarations go here }; int operator == (const Rational& x, const Rational& y) { return (x.num*y.den == y.num*x.den); }
The test for equality of two factions a/b and c/d is equivalent to the test ad == bc. So we end up using the equality operator for ints to define the equality operator for Rationals.
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Overloading the Stream Operators C++ allows you to overload the stream operators >> and << to customize input and output. Like the arithmetic and relational operators, these should also be declared as friend functions. For a class T with data member d, the syntax for the << operator is friend ostream& operator<<(ostream& os, const T& t) return os <<t.d; } ostream is a standard class defined in the <iostream. h>. The parameters and the return value are passed by reference. This function can then be called using the syntax used for fundamental types: cout <<"x = " <<x <<", y = " <<y <<endl; Example 9.8 Overloading the Rational Output Operator << class Rational { friend ostream& operator<< (ostream&, const Rational&); public: Rational(int n=0, int d=l) : num(n), den(d) { } // other declarations go here private: int num, den; // other declarations go here }; void main( ) { Rational x(22,7), y(-3,8); cout <<"x=" <<x <<", y=" <<y <<endl; } ostream& operator<<(ostream& os, const Rational& r) { return os <<r.num <<'/' <<r.den; } x=22/7, y=-3/8
When the second line of main( ) executes, the expression cout <<"x = " executes first. This calls the standard output operator <<, passing the standard output stream cout and the string "x=" to it. As usual, this inserts the string into the output stream and returns a reference to cout. This return value is then passed with the object x to the overloaded << operator. This call to operator << executes with cout in place of os and
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