Suppose that we have a class with some method that takes four input values, each

representing one side of a proper tetragon. The function returns the information $($a

String$)$ telling whether the given values represent the side lengths of a Square, a

Rectangle, or a Trapezoid.

public class identifyshapes

public String identifyTetragon$($int $a,$ int $b,$ int $c,$ int d$)$ throws

Not:AValidTetragon,

InvalidSideException

The method throws a NotAValidTetragon exception if the supplied values do not fit

into any of the possible three tetragons it is expected to find out, and the function throws

a InvalidSideException if any of the supplied values do not represent a valid value

for a geometric shape.

Types of proper tetragons the function can discriminate are:

a$.$ Identify the equiralence classes for both the input and output domains of the above

function, and come up with a proper diagram $($similar to the partitioning diagram

arailable on slide #$26$ of lecture notes for week$09)$ that depict those equiralence

classes.

b$.$ Derelop a set of test cases, i$.$e$.,$ test suite for the method for which a Jara signature is

given above. You are NOT expected to write the Jara source code for the

implementation of the above given method, but only to list the test inputs, and

expected outputs, i$.$e$.,$ fill in the below table. You can add rows to the below table as

required. Make sure that each equiralence class pou identified above is corered with at

least one test case, and also boundary ralue analysis is applied for all boundaries

present in your partitions. Hint: Do not neglect the imvalid behavior tests!