Except for trivial , is not practical because such testing often requires a massive/infinite number of test cases.
Consider the test cases for adding a string object to a :
Exhaustive testing of this operation can take many more test cases.
Program testing can be used to show the presence of bugs, but never to show their absence!
--Edsger Dijkstra
Every test case adds to the cost of testing. In some systems, a single test case can cost thousands of dollars e.g. on-field testing of flight-control software. Therefore, test cases need to be designed to make the best use of testing resources. In particular:
Testing should be effective i.e., it finds a high percentage of existing bugs e.g., a set of test cases that finds 60 defects is more effective than a set that finds only 30 defects in the same system.
Testing should be efficient i.e., it has a high rate of success (bugs found/test cases) a set of 20 test cases that finds 8 defects is more efficient than another set of 40 test cases that finds the same 8 defects.
For testing to be , each new test you add should be targeting a potential fault that is not already targeted by existing test cases. There are test case design techniques that can help us improve the E&E of testing.
Exercises
Test case design can be of three types, based on how much of the SUT's internal details are considered when designing test cases:
Black-box (aka specification-based or responsibility-based) approach: test cases are designed exclusively based on the SUT’s specified external behavior.
White-box (aka glass-box or structured or implementation-based) approach: test cases are designed based on what is known about the SUT’s implementation, i.e. the code.
Gray-box approach: test case design uses some important information about the implementation. For example, if the implementation of a sort operation uses different algorithms to sort lists shorter than 1000 items and lists longer than 1000 items, more meaningful test cases can then be added to verify the correctness of both algorithms.
Black-box and white-box testing
Consider the testing of the following operation.
isValidMonth(m)
: returns true
if m
(and int
) is in the range [1..12]
It is inefficient and impractical to test this method for all integer values [-MIN_INT to MAX_INT]
. Fortunately, there is no need to test all possible input values. For example, if the input value 233
fails to produce the correct result, the input 234
is likely to fail too; there is no need to test both.
In general, most SUTs do not treat each input in a unique way. Instead, they process all possible inputs in a small number of distinct ways. That means a range of inputs is treated the same way inside the SUT. Equivalence partitioning (EP) is a test case design technique that uses the above observation to improve the E&E of testing.
Equivalence partition (aka equivalence class): A group of test inputs that are likely to be processed by the SUT in the same way.
By dividing possible inputs into equivalence partitions you can,
Equivalence partitions (EPs) are usually derived from the specifications of the SUT.
These could be EPs for the isValidMonth example:
true
(produces false
)true
true
(produces false
)When the SUT has multiple inputs, you should identify EPs for each input.
Consider the method duplicate(String s, int n): String
which returns a String
that contains s
repeated n
times.
Example EPs for s
:
Example EPs for n
:
0
An EP may not have adjacent values.
Consider the method isPrime(int i): boolean
that returns true if i
is a prime number.
EPs for i
:
Some inputs have only a small number of possible values and a potentially unique behavior for each value. In those cases, you have to consider each value as a partition by itself.
Consider the method showStatusMessage(GameStatus s): String
that returns a unique String
for each of the possible values of s (GameStatus
is an enum
). In this case, each possible value of s
will have to be considered as a partition.
Note that the EP technique is merely a heuristic and not an exact science, especially when applied manually (as opposed to using an automated program analysis tool to derive EPs). The partitions derived depend on how one ‘speculates’ the SUT to behave internally. Applying EP under a glass-box or gray-box approach can yield more precise partitions.
Consider the EPs given above for the method isValidMonth
. A different tester might use these EPs instead:
true
false
Some more examples:
Specification | Equivalence partitions |
---|---|
| [ |
| [ |
Exercises
When deciding EPs of OOP methods, you need to identify the EPs of all data participants that can potentially influence the behaviour of the method, such as,
Consider this method in the DataStack
class:
push(Object o): boolean
o
to the top of the stack if the stack is not full.true
if the push operation was a success.MutabilityException
if the global flag FREEZE==true
.InvalidValueException
if o
is null.EPs:
DataStack
object: [full] [not full]o
: [null] [not null]FREEZE
: [true][false] Consider a simple Minesweeper app. What are the EPs for the newGame()
method of the Logic
component?
As newGame()
does not have any parameters, the only obvious participant is the Logic
object itself.
Note that if the glass-box or the grey-box approach is used, other associated objects that are involved in the method might also be included as participants. For example, the Minefield
object can be considered as another participant of the newGame()
method. Here, the black-box approach is assumed.
Next, let us identify equivalence partitions for each participant. Will the newGame()
method behave differently for different Logic
objects? If yes, how will it differ? In this case, yes, it might behave differently based on the game state. Therefore, the equivalence partitions are:
PRE_GAME
: before the game starts, minefield does not exist yetREADY
: a new minefield has been created and the app is waiting for the player’s first moveIN_PLAY
: the current minefield is already in useWON
, LOST
: let us assume that newGame()
behaves the same way for these two values Consider the Logic
component of the Minesweeper application. What are the EPs for the markCellAt(int x, int y)
method? The partitions in bold represent valid inputs.
Logic
: PRE_GAME, READY, IN_PLAY, WON, LOSTx
: [MIN_INT..-1] [0..(W-1)] [W..MAX_INT] (assuming a minefield size of WxH)y
: [MIN_INT..-1] [0..(H-1)] [H..MAX_INT]Cell
at (x,y)
: HIDDEN, MARKED, CLEAREDBoundary Value Analysis (BVA) is a test case design heuristic that is based on the observation that bugs often result from incorrect handling of boundaries of equivalence partitions. This is not surprising, as the end points of boundaries are often used in branching instructions, etc., where the programmer can make mistakes.
The markCellAt(int x, int y)
operation could contain code such as if (x > 0 && x <= (W-1))
which involves the boundaries of x’s equivalence partitions.
BVA suggests that when picking test inputs from an equivalence partition, values near boundaries (i.e. boundary values) are more likely to find bugs.
Boundary values are sometimes called corner cases.
Exercises
Typically, you should choose three values around the boundary to test: one value from the boundary, one value just below the boundary, and one value just above the boundary. The number of values to pick depends on other factors, such as the cost of each test case.
Some examples:
Equivalence partition | Some possible test values (boundaries are in bold) |
---|---|
[1-12] | 0,1,2, 11,12,13 |
[MIN_INT, 0] | MIN_INT, MIN_INT+1, -1, 0 , 1 |
[any non-null String] | Empty String, a String of maximum possible length |
[prime numbers] | No specific boundary |
[non-empty Stack] | Stack with: no elements, one element, two elements, no empty spaces, only one empty space |