Programming Exercise in Chapter 1 describes how to design the class lineType to implement...

Programming Exercise in Chapter 1 describes how to design the class lineType to implement a line. Redo this programming exercise so that the class lineType :

a. Overloads the stream insertion operator, ≪, for easy output.

b. Overloads the stream extraction operator, ≫, for easy input. (The line ax + by = c is input as (a , b, c).

c. Overloads the assignment operator to copy a line into another line.

d. Overloads the unary operator + as a member function, so that it returns true if a line is vertical; false otherwise.

e. Overloads the unary operator — as a member function, so that it returns true if a line is horizontal; false otherwise.

f. Overloads the operator == as a member function, so that it returns true if two lines are equal; false otherwise.

g. Overloads the operator || as a member function, so that it returns true if two lines are parallel; false otherwise.

h. Overloads the operator && as a member function, so that it returns true if two lines are perpendicular; false otherwise.

Write a program to test your class.

Programming Exercise

Write a program that converts a number entered in Roman numerals to decimal form. Your program should consist of a class , say romanType . An object of romanType should do the following:

a. Store the number as a Roman numeral.

b. Convert and store the number into decimal form.

c. Print the number as a Roman numeral or decimal number as requested by the user. (Write two separate functions—one to print the number as a Roman numeral and the other to print the number as a decimal number.)

The decimal values of the Roman numerals are:

M	1000
D	500
C	100
L	50
X	10
V	5
I	1

Remember, a larger numeral preceding a smaller numeral means addition, so LX is 60 . A smaller numeral preceding a larger numeral means subtrac­tion, so XL is 40 . Any place in a decimal number, such as the 1s place, the 10s place, and so on, requires from zero to four Roman numerals.

d. Test your program using the following Roman numerals: MCXIV , CCCLIX , and MDCLXVI .