CS 1401 Assignment #8

Date Assigned: Monday, March 19, or Tuesday, March 20, 2007.

Due Date: Monday, March 26, or Tuesday, March 27, 2007, before the beginning of your lab section.

Objective: The main objective of this assignment is to learn to design user-defined classes and ADTs.

Programming assignment: a complex number a + bi is characterized by its real part a and its imaginary part b. For complex numbers, the absolute value is defined as |a + bi| = sqrt(a^2 + b^2), a conjugate is defined as (a + bi)' = a - bi. Arithmetic operations are defined as follows:

(a + bi) + (c + di) = (a + c) + (b + d)i
(a + bi) - (c + di) = (a - c) + (b - d)i
(a + bi) * (c + di) = (a * c - b * d) + (a * d + b * c)i
(a + ib)/(c + id) = (ac + bd)/(c^2 + d^2) + i(bc - ad)/(c^2 + d^2) if c + id =/= 0.

Describe a class whose elements are complex numbers, and methods include:

a constructor method,
methods to return (accessor) and to change (mutator) the values of the parameters, and
methods for the arithmetic operations.

Use your class in the main program to create the number i (as 0 + 1i) and to check that i * i is indeed -1 (i.e., -1 + 0i).

Homework assignment: on a separate sheet of paper, solve Ex. 6 from p. 520 and Ex. 16 from p. 522.

Deliverables: as instructed by your TA.