In this lab, we will write a Java class which can be used to instantiate Complex number objects, and then we use Javadoc utility to generate API documentation for this Complex class 1. [808] Complex. java Complex numbers are used in a representation called the polar coordinate system. (Although it's not necessary for this lab, see http://en.wikipedia.org/wiki/Complex numbers for more information.) Each complex number has the form x + yi where the value x is called the real part, and the value y times i is called the imaginary part, because i represents the square root of -1. The y is called the coefficient of the imaginary part. The square root of -1 can't be calculated but is a useful concept in the polar system. Some examples of complex numbers are: 5.3 2.0i 6.0-4.3i 7.556 3.112i 0.0 In the first example, the real part is 5.3 and the coefficient of the imaginary part is 2.0. In the second example, the real part is-6. O and the coefficient of the imaginary part is-4 . 3. Rather than write it as-6.0 + -431, we write it as-6.0-431. The last three examples bear further explanation. The convention is that if the coefficient of the imaginary part is 0, we needn't show the imaginary part. Similarly, if the real part is 0, we can omit it. If both are 0, we just show the real part To do this lab, you needn't understand anything more about complex numbers. If we wish to use complex numbers in Java, we will have to define a new data type because they are not part of the Java Class Library You can see that to represent a complex number, we will need to store two values: the real part, and the coefficient of the imaginary part. We don't really need to store i, as long as we remember that all complex numbers have that value as a multiplicand of the imaginary part