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Software Testing: Part II: Functional Testing

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1 Software Testing: Part II: Functional Testing
Aditya P. Mathur Purdue University July 20-24, 1998 @ Raytheon Technical Services Company Indianapolis. Graduate Assistants: Joao Cangussu Sudipto Ghosh Priya Govindrajan Last update: July 19, 1998

2 Course Organization Part I: Preliminaries Part II: Functional Testing
Part III: Test Assessment Part IV: Special Topics Functional testing

3 Part II: Functional testing
Learning objectives- What is functional testing? How to perform functional testing? What are clues, test requirements, and test specifications? How to generate test inputs? What are equivalence partitioning, boundary value testing, domain testing, state testing, and decision table testing? Functional testing

4 What is functional testing?
When test inputs are generated using program specifications, we say that we are doing functional testing. Functional testing tests how well a program meets the functionality requirements. Functional testing

5 The methodology The derivation of test inputs is based on program specifications. Clues are obtained from the specifications. Clues lead to test requirements. Test requirements lead to test specifications. Test specifications are then used to actually execute the program under test. Functional testing

6 Test methodology Specifications Clues Test requirements Oracle
Expected behavior Program output is correct Test requirements Oracle or Test specifications Program has failed; make a note and proceed with testing or get into the debug mode. Test driver Until specs. Exhausted. Actual behavior Program Functional testing

7 Specifications Inputs and tasks: Given inputs Perform tasks
Functional testing

8 Specifications-continued
Input properties Input must satisfy Function f is a pre-condition on input Functional testing

9 Specifications-continued
Two types of pre-conditions are considered: Validated: those that are required to be validated by the program under test and an error action is required to be performed if the condition is not true. Assumed: those that are assumed to be true and not checked by the program under test. Functional testing

10 Specification: example
For the sort program: Inputs are: N pointer to a sequence of length N pointer to an area in memory where the output sequence is to be placed. Functional testing

11 Specification: example..continued
Tasks to be performed: Sort the sequence in ascending order Return the sorted sequence in an area provided. Return 1 if sorting is successful, -1 otherwise. Functional testing

12 Preconditions for sort
Validated: N>0 On failure return -1; sorting considered unsuccessful. Assumed: The input sequence contains N integers. The output area has space for at least N integers. Functional testing

13 Deriving pre-conditions
Pre-conditions result from properties of inputs. Example: alpha_sequence(name) alpha_sequence is the string obtained from name by removing all characters other then A-Z, and a-z. Thus, if name is “A12C” then alpha_name is “AC”. Functional testing

14 Deriving pre-conditions-continued
This leads to the following pre-condition: Validated: the string alpha_sequence(name) is shorter than name. On failure: print “invalid name”. This property could also lead to the pre-condition: Assumed: the string alpha_ sequence(name) is shorter than name. Functional testing

15 Post-conditions A post-condition specifies a property of the output of a program. The general format of a post-condition is: if condition then effect-1 {else effect-2} Example: For the sort program a post-condition is: if N>0 then {the output sequence has the same elements as in the input sequence and in ascending order.} Functional testing

16 Post-condition-continued
This could be stated more formally as: if N>0 then { and each is a member of the input sequence and sort returns 1. } else { the output sequence is undefined and sort returns -1. } Functional testing

17 Post-condition-continued
Another example: if (A=B) and (B=C) then return “equilateral”; Can you complete the above post-condition for a program that is required to classify a triangle given the length of three sides? Convention: We will not nest if-then-else statements while specifying a post-condition. Functional testing

18 Incompleteness of specifications
Specifications may be incomplete or ambiguous. Example post-condition: if user places cursor on the name field then read a string This post-condition does not specify any limit on the length of the input string hence is incomplete. Functional testing

19 Ambiguous specifications
It also does not make it clear as to whether a string should be input only after the user has placed the cursor on the name field and clicked the mouse or simply placed the cursor on the name field. and hence is ambiguous. Functional testing

20 Clues: summary Clues are: Pre-conditions Post-conditions
Variables, e.g. A is a length implying thereby that its value cannot be negative. Operations, e.g. “search a list of names” or “find the average of total scores” Definitions, e.g. “filename(name) is a name is no spaces.” Functional testing

21 Clues-continued Ideally variables, operations and definitions should be a part of at least one pre- or post-condition. However, this may not be the case as specifications are not always written formally. Hence look out for variables, operations, and definitions within a specification! Functional testing

22 Test requirements A test requirement is a description of how to test the program that is under test. Here is a sample test requirement for a program that classifies a triangle given the length of three sides. A, B, C are non-zero and positive. One of A, B, C is negative; error condition. One of A, B, C is zero; error condition. Functional testing

23 Test requirements-derivation
Test requirements are derived from clues. For example, consider the following pre-conditions (clues): Assumed: A, B, and C are lengths Validated: A>0, B>0, C>0 These pre-conditions on A, B, and C lead to the test requirement given above. Functional testing

24 Test requirements-derivation
Note that we have clumped pre-condition for each input variable into one condition. This is being done only for inconvenience. It is recommended that pre-conditions be separated for each variable. Functional testing

25 Test requirements-derivation
Note also that each validated pre-condition results in at least two requirements: one for the validated part and the other for the failure part. In our example above we did not list all requirements. For example, we are content with testing “one of A, B, C is negative; error condition.” Functional testing

26 Test requirements-derivation
Post-conditions also lead to test requirements. For example, the partial post-condition: if (A=B) and (B=C) then return “equilateral” leads to the following test requirement: A=B and B=C. Functional testing

27 Compound validated pre-conditions
Compound pre-conditions are ones that use the and or or connectors. Examples: validated compound pre-conditions: Pre-condition: A and B Pre-condition: user places the mouse over the name field and clicks it. Functional testing

28 Compound validated pre-conditions
The first of the above pre-conditions leads to four requirements: A true, B true (This is the validated part) A false, B true (This and the rest are failures) A true, B false A false, B false You may work out the requirements for compound pre-condition with the or connector. Functional testing

29 Compound validated pre-conditions
Compound validated pre-conditions could become quite complex. Example: (A and (B or C)) Brute force method will lead to 8 test requirements. Functional testing

30 Compound validated pre-conditions
In general this will lead to too many test requirements. We can prune them by leaving out those requirements that are unlikely to reveal a program error. For example, consider the validated pre-condition: A or B. Functional testing

31 Pruning test requirements
There are four possible test requirements: A true, B true A false, B true A true, B false A false, B false Consider a correct C implementation: if (!(A || B)) exit_with_error(“Error: A is %d, B is %d”, A, B); else.. {/* the validated code comes here.*/} Functional testing

32 Possible errors Programmer forgets to check for one of the two cases resulting in the code: if (!A) exit_with_error(“Error: A is %d, B is %d”, A, B); or if (!B) Functional testing

33 Possible errors-continued
Or use a wrong logical operator as in: if (!(A && B)) exit_with_error(“Error: A is %d, B is %d”, A, B); Let us analyze how the four different tests will perform in each of the four implementations: one correct, and three incorrect ones. Functional testing

34 Truth table: or condition
A B !(A || B) !(A&&B) !A !B T F F T F T F T F T T F F F T T T T T T F F F F Inputs Correct implementation Incorrect implementations Notice this one: will it help find any of the three possible errors? Functional testing

35 Truth table analysis Case 1:
A test input with A=true and B=false will cause the correct program to evaluate the condition to false. The two incorrect implementations, !(A&&B) and (!B) will evaluate the condition to true. Functional testing

36 Truth table analysis-continued
Both incorrect implementations will print the error message. The oracle will observe that the correct and the incorrect implementations behave differently. It will therefore announce failure for each incorrect implementation thereby pointing to an error. End of Case 1. Functional testing

37 Truth table analysis-continued
Case 2: Test input A=false and B=true will reveal the error in the two incorrect implementations, !(A&&B) and (!A). Case 3: Test input A=false and B=false might find a fault in the then branch of the if condition. Functional testing

38 Truth table analysis-continued
Case 4: Test input A=true and B=true might find a fault in the else branch of the if condition. Thus, all four test inputs are likely to be useful. Functional testing

39 Truth table analysis-continued
However, if we were to check for the correct implementation of the condition A or B, then only the first two inputs are necessary. In this example, reducing the number of test specifications from 4 to 2 does not lead to any significant savings. When will the savings be significant? Functional testing

40 Assumed pre-conditions
Each assumed pre-condition is likely to result in a test requirement. Example: Assumed: MODE is “on ground” or “flying” This leads to two requirements: MODE is “on ground” , MODE is not “flying” MODE is not “on ground” , MODE is “flying” Functional testing

41 Assumed pre-conditions
These can be simplified to: MODE is “on ground” MODE is “flying” Functional testing

42 Clues from code? Yes, clues can also be derived by scanning the code.
However, such clues might be redundant and incomplete if coverage measurement and use is planned. In the absence of coverage measurement, it is a good idea to scan the code and find clues. Functional testing

43 Clues from code-continued
Examine internal variables. These may lead to new test requirements. Example: Suppose that variable length is input and denotes the length of an array. In the code we find: int last_index=length+1; This leads to the test requirements: Functional testing

44 Clues from code-continued
an array of length zero array of length 1 array with more than one element Later we will see how these clues and requirements might be derived, with certainty, using boundary-value analysis. Another example: Consider the sort program for which we have seen the specifications. Functional testing

45 Clues from code-continued
The specifications do not indicate what algorithm is to be used for sorting the input array. A programmer might decide to use different algorithms for different array sizes. When scanning the code we may see: if (scan<min_length) simple_sort(); else quicksort(); Functional testing

46 Clues from code-continued
Variable size and the check against min_length give us a clue for new test requirements. These are: size is equal to or greater than min_length Later we will see how this clue and requirements might be derived, with certainty, using branch coverage. Functional testing

47 Test requirements checklist
Obtaining clues and deriving test requirements can become a tedious task. To keep it from overwhelming us it is a good idea to make a checklist of clues. This checklist is then transformed into a checklist of test requirements by going through each clue and deriving test requirements from it. Functional testing

48 Test specifications A test requirements indicates “how” to test a program. But it does not provide exact values of inputs. A test requirement is used to derive test specification, which is the exact specification of values of input and environment variables. Functional testing

49 Test specifications-continued
There may not be a one-to-one correspondence between test requirements and test specifications. A test requirement checklist might contain 50 entries. These might result in only 22 test specifications. The fewer the tests the better but only if these tests are of good quality! Functional testing

50 Test specifications-continued
We will discuss test quality when discussing test assessment. A test specification looks like this: Test 2: global variable all_files is initially false. next_record is set to 1. Upon return expect: all_files to be true next_record is last_record+1 Functional testing

51 Test specifications-continued
Notice the format of a test specification: Each test is given a number which serves as its identifier. There is a set of input values. There is a set of expected values upon return from execution. Any side effects on files or networks must also be specified here. In essence, all observable effects must be specified in the “Expect” part of a test specification. Functional testing

52 Test specifications-continued
Any side effects on files or networks must also be specified. In essence, all observable effects must be specified in the “Expect” part of a test specification. Similarly, values of all input variables, global or otherwise, must also be specified. Functional testing

53 Test requirements to specifications
The test requirements checklist guides the process of deriving test specifications. Initially all entries in the checklist are unmarked or set to 0. Each time a test is generated from a requirement it is marked or the count incremented by 1. Functional testing

54 Test requirements to specifications
Thus, at any point in time, one could assess the progress made towards the generation of test specifications. One could also determine how many tests have been generated using any test requirement. Functional testing

55 Test requirements to specifications
Once a test requirement has been marked or its count is more than 0 we say that it has been satisfied. Some rules of thumb to use while designing tests: Try to satisfy multiple requirements using only one test. Satisfy all test requirements. Functional testing

56 Test requirements to specifications
Avoid reuse of same values of a variable in different tests. Generating new tests by varying an existing one is likely to lead to tests that test the same part of the code as the previous one. In testing, variety helps! Though we try to combine several test requirements to generate one test case, this is not advisable when considering error conditions. Functional testing

57 Test requirements to specifications
For example, consider the following: speed_dial, an interval speed_dial<0 ,error speed_dial>120, error zones, an interval zones <5, error zones>10, error Functional testing

58 Test requirements to specifications
One test specification obtained by combining the two requirements above is: speed_dial=-1 zone=3 Now, if the code to handle these error conditions is: Functional testing

59 Test requirements to specifications
if (speed_dial<0 || speed_dial>120) error_exit(“Incorrect speed_dial”); if (zone<6 ||zone>10) error_exit(“Incorrect zone”); For our test, the program will exit before it reaches the second if statement. Thus, it will miss detecting the error in coding the test for zone. error Functional testing

60 Test requirements to specifications
Also, do not assume an error test to satisfy any other test requirement. Example: Consider the function: myfunction(int X, int Y); A test for the erroneous value of X might not test the code that uses Y. Functional testing

61 Test requirements to specifications
Test specifications must not mention internal variables. Remember, a test specification aids in setting input variables to suitable values before the test begins. Values of internal variables are computed during program execution. However, there are exceptions to the above rule. Can you think of one? Functional testing

62 A peek into today’s laboratory
The laboratory is based on the example given in your text by Marick. The example is based on a C program sreadhex. Given the specifications and code of sreadhex you will be required to find clues, develop test requirements, and test specifications. Functional testing

63 A peek into today’s laboratory
You will then test sreadhex using tests derived by you. To test sreadhex you will write a test driver. More details will be provided during the laboratory session. Let us examine sreadhex! Functional testing

64 The sreadhex program Inputs: A string of characters (s).
The characters in the string represent hexadecimal digits. s is null terminated. Maximum number of bytes (rlen) in the output array (str). A pointer to an integer (odd-digit). Functional testing

65 The sreadhex program Outputs:
A packed array of bytes (str) containing a maximum of rlen bytes. The hexadecimal characters in the input string are converted to their 4-bit binary equivalent. Two successive hexadecimal digits are packed into one byte of str. if the number of digits in str is odd, then the 4-bit value of the last hexadecimal digit in s is placed in odd-digit else odd-digit is set to -1. Functional testing

66 The sreadhex program The number of bytes filled in str is returned in nread. Any non-hexadecimal characters in s are ignored. sreadhex returns 1 if all hexadecimal characters filled in the output array, 0 if not; -1 if there was an error. Functional testing

67 The sreadhex program Examples: Input: Output: s=“4EDIT” odd_digit=-1
rlen=2 Output: str byte 1: odd_digit: 1101 nread: 1 “T” and “I” ignored Odd digit “D” Functional testing

68 The sreadhex program Input: Output: s=“3A” odd_digit=5 rlen=2
str byte 1: odd_digit: 1010 nread: 1 Odd digit from previous call Input odd_digit placed in the first byte. Functional testing

69 The sreadhex program Input: Output: s=“1F” odd_digit=-1 rlen=2
str byte 1: odd_digit: -1 nread: 1 Functional testing

70 The sreadhex program Input: Output: s=“1F2A3” odd_digit=-1 rlen=2
str byte 1: str byte 2: odd_digit: -1 nread: 2 “3” ignored as it is the fifth digit whereas only 4 are allowed in str. Functional testing

71 Sample pre- and post- conditions
Pre-conditions: Assumed: str is a non-null pointer to an array that can hold rlen bytes. Validated: rlen is not 0; on failure *nread is 0 and return value is 0. Post-conditions: An even number of digits and not enough to fill str; use all of them, return value is 1. Functional testing

72 Sample pre- and post- conditions
An odd number of digits and not enough to fill str; use all of them, set odd-digit to the value of the last hexadecimal digit in str, return 1. More than enough digits to fill str, ignore excess, return 0. Functional testing

73 Sample definitions START:
Location in str where the value of the first hexadecimal character in s is placed. if (*odd-digit = = -1) then START is 0 else START is 1. Functional testing

74 Using definitions Definitions help formulate and specify pre- and post-conditions. Example: if START+NUM_HEX_CHARS>=2*rlen then …… where NUM_HEX_CHARS is the number of hex digits in s. Functional testing

75 Understanding specs and code
Look at the specifications of sreadhex: see section 2.2 of the text. Look at the code on page 28. Understand the specifications and the code before you begin the laboratory assignments. Functional testing

76 Equivalence partitioning
The input domain is usually too large for exhaustive testing. It is therefore partitioned into a finite number of sub-domains for the selection of test inputs. Each sub-domain is known as an equivalence class and serves as a source of at least one test input. Functional testing

77 Equivalence partitioning
Input domain partitioned into four sub-domains. Input domain 1 2 3 4 Four test inputs, one selected from each sub-domain. Too many test inputs. Functional testing

78 How to partition? Inputs to a program provide clues to partitioning.
Example 1: Suppose that program P takes an input X, X being an integer. For X<0 the program is required to perform task T1 and for X>=0 task T2. Functional testing

79 How to partition?-continued
The input domain is prohibitively large because X can assume a large number of values. However, we expect P to behave the same way for all X<0. Similarly, we expect P to perform the same way for all values of X>=0. We therefore partition the input domain of P into two sub-domains. Functional testing

80 Two sub-domains One test case: X=-3 Equivalence class X<0 X>=0
Another test case: X=-15 All test inputs in the X<0 sub-domain are considered equivalent. The assumption is that if one test input in this sub-domain reveals an error in the program, so will the others. This is true of the test inputs in the X>=0 sub-domain also. Functional testing

81 Non-overlapping partitions
In the previous example, the two equivalence classes are non-overlapping. In other words the two sub-domains are disjoint. When the sub-domains are disjoint, it is sufficient to pick one test input from each equivalence class to test the program. Functional testing

82 Non-overlapping partitions
An equivalence class is considered covered when at least one test has been selected from it. In partition testing our goal is to cover all equivalence classes. Functional testing

83 Overlapping partitions
Example 2: Suppose that program P takes three integers X, Y and Z. It is known that: X<Y Z>Y Functional testing

84 Overlapping partitions
X<Y, Z<=Y X=2, Y=3, Z=1 X>=Y, Z<=Y X=15, Y=4, Z=1 X<Y X<Y, Z>Y X=3, Y=4, Z=7 X>=Y Z>Y Z<=Y X>=Y, Z>Y X=15, Y=4, Z=7 Functional testing

85 Overlapping partition-test selection
In this example, we could select 4 test cases as: X=4, Y=7, Z=1 satisfies X<Y X=4, Y=2, Z=1 satisfies X>=Y X=1, Y=7, Z=9 satisfies Z>Y X=1, Y=7, Z=2 satisfies Z<=Y Thus, we have one test case from each equivalence class. Functional testing

86 Overlapping partition-test selection
However, we may also select only 2 test inputs and satisfy all four equivalence classes: X=4, Y=7, Z=1 satisfies X<Y and Z<=Y X=4, Y=2, Z=3 satisfies X>=Y and Z>Y Thus, we have reduced the number of test cases from 4 to 2 while covering each equivalence class. Functional testing

87 Partitioning using non-numeric data
In the previous two examples the inputs were integers. One can derive equivalence classes for other types of data also. Example 3: Suppose that program P takes one character X and one string Y as inputs. P performs task T1 for all lower case characters and T2 for upper case characters. Also, it performs task T3 for the null string and T4 for all other strings. Functional testing

88 Partitioning using non-numeric data
X: LC, Y: not null X: UC, Y: not null X: LC X:UC X: LC, Y: null Y: not null Y: null LC: Lower case character UC: Upper case character null: null string. X: UC, Y: null Functional testing

89 Non-numeric data Once again we have overlapping partitions.
We can select only 2 test inputs to cover all four equivalence classes. These are: X: lower case, Y: null string X: upper case, Y: not a null string Functional testing

90 Guidelines for equivalence partitioning
Input condition specifies a range: create one for the valid case and two for the invalid cases. e.g. for a<=X<=b the classes are a<=X<=b (valid case) X<a and X>b (the invalid cases) Functional testing

91 Guidelines-continued
Input condition specifies a value: create one for the valid value and two for incorrect values (below and above the valid value). This may not be possible for certain data types, e.g. for boolean. Input condition specifies a member of a set: create one for the valid value and one for the invalid (not in the set) value. Functional testing

92 Sufficiency of partitions
In the previous examples we derived equivalence classes based on the conditions satisfied by input data. Then we selected just enough tests to cover each partition. Think of the advantages and disadvantages of this approach! Functional testing

93 Boundary value analysis (BVA)
Another way to generate test cases is to look for boundary values. Suppose a program takes an integer X as input. In the absence of any information, we assume that X=0 is a boundary. Inputs to the program might lie on the boundary or on either side of the boundary. Functional testing

94 BVA: continued This gives us 3 test inputs:
X=0, X=-20, and X=14. Note that the values -20 and 14 are on either side of the boundary and are chosen arbitrarily. Notice that using BVA we get 3 equivalence classes. One of these three classes contains only one value (X=0), the other two are large! Functional testing

95 BVA: continued Now suppose that a program takes two integers X and Y and that x1<=X<=x2 and y1<=Y<=y2. 14 5 2 1 y2 10 11 6 8 9 13 12 y1 3 4 7 x1 x2 Functional testing

96 BVA-continued In this case the four sides of the rectangle represent the boundary. The heuristic for test selection in this case is: Select one test at each corner (1, 2, 3, 4). Select one test just outside of each of the four sides of the boundary (5, 6, 7, 8) Functional testing

97 BVA-continued How many equivalence classes do we get?
Select one test just inside of each of the four sides of the boundary (10, 11, 12, 13). Select one test case inside of the bounded region (9). Select one test case outside of the bounded region (14). How many equivalence classes do we get? Functional testing

98 BVA -continued In the previous examples we considered only numeric data. BVA can be done on any type of data. For example, suppose that a program takes a string S and an integer X as inputs. The constraints on inputs are: length(S)<=100 and a<=X<=b Can you derive the test cases using BVA? Functional testing

99 BVA applied to output variables
Just as we applied BVA to input data, we can apply it to output data. Doing so gives us equivalence classes for the output domain. We then try to find test inputs that will cover each output equivalence class. Functional testing

100 BVA-continued Example: each student to construct one!
Functional testing

101 Finite State Machines (FSMs)
A state machine is an abstract representation of actions taken by a program or anything else that functions! It is specified as a quintuple: A: a finite input alphabet Q: a finite set of states q0: initial state which is a member of Q. Functional testing

102 FSMs-continued T: state transitions which is a mapping Q x A--> Q F: A finite set of final states, F is a subset of Q. Example: Here is a finite state machine that recognizes integers ending with a carriage return character. A={0,1,2,3,4,5,6,7,8,9, CR} Q={q0,q1,q2} q0: initial state Functional testing

103 FSMs-continued T: {((q0,d),q1),(q1,d),q1), (q1,CR),q2)} F: {q2} A state diagram is an easier to understand specification of a state machine. For the above machine, the state diagram appears on the next page. Functional testing

104 State diagram State transitions indicated
by labeled arrows from one state the another (which could be the same). Each label must be from the alphabet. It is also known as an event. q0 q1 d CR q2 Final state indicated by concentric circles. States indicated by circles. d: denotes a digit Functional testing

105 State diagram-actions
x/y: x is an element of the alphabet and y is an action. q0 q1 q2 d/add 10*d to i d/set i to d CR/output i i is initialized to d when the machine moves from state q0 to q1. i is incremented by 10*d when the machine moves from q1 to q1. The current value of i is output when a CR is encountered. Can you describe what this machine computes?Can you construct a regular expression that describes all strings recognized by this state machine? Functional testing

106 State machine: languages
Each state machine recognizes a language. The language recognized by a state machine is the set S of all strings such that: when any string s in S is input to the state machine the machine goes through a sequence of transitions and ends up in the final state after having scanned all elements of s. Functional testing

107 State diagram-errors d/add 10*d to I q2 q0 q1 reset q4
d/set I to d q2 q0 q1 CR/output I CR/output error reset q4 q4 has been added to the set of states. It represents an error state. Notice that reset is a new member added to the alphabet. Functional testing

108 State diagram-program
A state diagram can be transformed into a program using case analysis. Here is a C program fragment that embodies logic represented by the previous state diagram. There is one function for each action. digit is assumed to be provided by the lexical analyzer. Functional testing

109 Program for “integer” state machine
/* state is global, with values q0, q1, q2. i is also global.*/ case q0: i=digit; /* perform action. */ state=q1; /* set next state. */ break; /* event digit is done. */ case q1: i=i+10*digit; /* Add the next digit. */ state=q1; break; /*…complete the program. */ void event_digit() { switch (state) Functional testing

110 More examples Let us go over figures 19.4 and 19.5 on pages of the text. Functional testing

111 Checking state diagrams
Unreachable state: One that cannot be reached from q0 using any sequence of transitions. Dead state: One that cannot be left once it is reached. Functional testing

112 Test requirements Every state must be reached at least once, Obtain 100% state coverage. Every transition must be exercised at least once.Obtain 100% transition coverage. The textbook talks about duplicate transitions. No transitions are duplicate if the state machine definition we have given is used. Functional testing

113 Example test requirements
For the “integer” state machine: state machine transitions: event digit in state q0 event CR in state q0 event digit in state q1 event CR in state q1 event reset in state q4 Functional testing

114 More testing of state machines?
Yes, it is possible! When we learn about path coverage we will discuss how more test requirements can be derived from a state diagram. Functional testing

115 Test specifications As before, test specifications are derived from test requirements. In the absence of dead states, all states and transitions can be reached by one test. It is advisable not to test the entire machine with one test case. Develop test specifications for our “integer” state machine. Functional testing

116 Decision tables Requirements of certain programs are specified by decision tables. Such tables can be used for deriving test requirements and specifications. A decision table is useful when specifying complex decision logic Functional testing

117 Decision tables A decision table has two parts:
condition part action part The two together specify under what condition will an action be performed. Functional testing

118 Decision table-nomenclature
C: denotes a condition A: denotes an action Y: denotes true N:denotes false X: denotes action to be taken. Blank in condition: denotes “don’t care” Blank in action: denotes “do not take the action” Functional testing

119 Bank example Consider a bank software responsible for debiting from an account. The relevant conditions and actions are: C1: The account number is correct C2: The signature matches C3: There is enough money in the account A1: Give money A2: Give statement indicating insufficient funds A3: Call vigilance to check for fraud! Functional testing

120 Decision tables Functional testing

121 Example-continued A1 is to be performed when C1, C2, and C3 are true.
A2 is to be performed when C1 is true and C2 and C3 are false or when C1 and C2 are true and C3 is false. A3 is to be performed when C2 and C3 are false. Functional testing

122 Default rules Are all possible combinations of conditions covered?
No! Which ones are not covered? We need a default action for the uncovered combinations. A default action could be an error report or a reset. Functional testing

123 Example-test requirements
Each column is a rule and corresponds to at least one test requirement. If there are n columns then there are at least n test requirements. What is the maximum number of test requirements? Functional testing

124 Example-test specifications
For each test requirement find a set of input values of variables such that the selected rule is satisfied. When this test is input to the program the output must correspond to the action specified in the decision table. Should the testing depend on the order in which the conditions are evaluated? Functional testing

125 Summary Specifications, pre-conditions, and post-conditions.
Clues, test requirements, and test specifications. Clues from code. Test requirements catalog. Equivalence partitioning and boundary value analysis. Functional testing

126 Summary-continued Finite state machine State diagram
Events and actions Unreachable and dead states Test requirements and specifications for state machines Decision tables, rules, actions Functional testing


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