Are all possible test cases covered for this scenario for input partitioning, output partitioning, and boundary value robustness testing? If not, could you state all possible test cases for input partitioning, output partitioning, and boundary value robustness testing in this scenario. Scenario:

Given an array of no more than $100$ unique integers sorted in ascending order, arr, and an integer x$,$ the function returns an integer that meets the following conditions:

$$ If there is no such a value of j that arr$[$j$]$ equals x$,$ then return $1.$

$$ Otherwise, return the value of j that arr$[$j$]$ equals x$.$

The function throws an Exception for any invalid input, e$.$g$.,$ arr is null, or x is not an integer.