a) Why is it important to be able to partition the test space into equivalence classes? For the following code fragment, describe 3 different test cases, and for each, describe the class of test cases it represents. Note: The below code might or might not have any issue(s).

public String printTriangleType (int x, y, z)

{

/* requires: The parameters are in ascending order (i.e. x <= y <= z)

effects: If x, y and z are the lengths of the sides of a triangle,

this function classifies the triangle using one of the three strings,

"scalene", "isosceles" or "equilateral". If x, y, and z do not form a

triangle, the empty string is returned. */

String r;

r="scalene";

if (x == y || y == z) { r="equilateral"; return r; }

if (x == z) { r="isosceles"; return r; }

if (x <= 0 || (x+y) <= z) { r=""; return r; }

return (r);

}

b) Compute the Cyclomatic complexity of the method. Full path coverage testing requires that every possible path through the code be tested at least once. For the code fragment above, how many test cases would be needed for full path coverage? Why might full path coverage be impossible to achieve for some programs?

c) Statement coverage testing requires that all statements in the program executed at least once. Provide a test set which has a complete statement coverage. What kinds of error might this testing miss?