Lab Test 5

 

1         A rational number is a number that can be represented as the quotient of two integers..

a)          Define a C++ class called Rational with two private integer members, numerator and denominator.

b)          Include a constructor with two arguments that can be used to set the member variables of an object to any legitimate values.

c)          Include a default constructor that initializes an object to 0.

d)          Overload the output operator <<.

e)          Overload the operator +.

f)           Overload the operator *.

g)          Write your own test program.

2         A complex number (複數) is a number of the form
   a + b i
where for our purposes, a and b are numbers of type double, and i is a number that represents the quantity. a is called the real part (
實部) and b the imaginary part (虛部).

a)          Define a C++ class called Complex with two private double members, real and imaginary.

b)          Include a constructor with two arguments that can be used to set the member variables of an object to any legitimate values.

c)          Include a default constructor that initializes an object to 0.

d)          Overload the output operator <<.

e)          Overload the operator +. Note that (a + b i) + (c + d i) = (a + c) + ( b + d ) i

f)           Overload the operator *. Note that (a + b i) * (c + d i) = (ac - bd) + ( bc + ad ) i

g)          Write your own test program.