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CHAPTER 10 Software Testing
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A speci cation is essential to software testing. Correctness in software is de ned as the program mapping being the same as the speci cation mapping. A good saying to remember is a program without a speci cation is always correct. A program without a speci cation cannot be tested against a speci cation, and the program does what it does and does not violate its speci cation. A test case should always include the expected output. It is too easy to look at an output from the computer and think that it is correct. If the expected output is di erent from the actual output, then the tester and/or user can decide which is correct.
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Test Coverage Criterion
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A test coverage criterion is a rule about how to select tests and when to stop testing. One basic issue in testing research is how to compare the e ectiveness of di erent test coverage criteria. The standard approach is to use the subsumes relationship.
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SUBSUMES
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A test criterion A subsumes test coverage criterion B if any test set that satis es criterion A also satis es criterion B. This means that the test coverage criterion A somehow includes the criterion B. For example, if one test coverage criterion required every statement to be executed and another criterion required every statement to be executed and some additional tests, then the second criterion would subsume the rst criterion. Researchers have identi ed subsumes relationships among most of the conventional criteria. However, although subsumes is a characteristic that is used for comparing test criterian, it does not measure the relative e ectiveness of two criteria. This is because most criteria do specify how a set of test cases will be chosen. Picking the minimal set of test cases to satisfy a criterion is not as e ective as choosing good test cases until the criterion is met. Thus, a good set of test cases that satisfy a weaker criterion may be much better than a poorly chosen set that satisfy a stronger criterion.
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FUNCTIONAL TESTING
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In functional testing, the speci cation of the software is used to identify subdomains that should be tested. One of the rst steps is to generate a test case for every distinct type of output of the program. For example, every error message should be generated. Next, all special cases should have a test case. Tricky situations should be tested. Common mistakes and misconceptions should be tested. The result should be a set of test cases that will thoroughly test the program when it is implemented. This set of test cases may also help clarify to the developer some of the expected behavior of the proposed software.
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Software Testing
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In his classic book,1 Glenford Myers poses the following functional testing problem: Develop a good set of test cases for a program that accepts three numbers, a, b, and c, interprets those numbers as the lengths of the sides of a triangle, and outputs the type of the triangle. Myers reports that in his experience most software developers will not respond with a good test set. I have found the same experience in using this example in software engineering classes. Some classes will even fail to include valid triangles in the test set.
EXAMPLE 10.1
For this classic triangle problem, we can divide the domain space into three subdomains, one for each different type of triangle that we will consider: scalene (no sides equal), isosceles (two sides equal), and equilateral (all sides equal). We can also identify two error situations: a subdomain with bad inputs and a subdomain where the sides of those lengths would not form a triangle. Additionally, since the order of the sides is not specified, all combinations should be tried. Finally, each test case needs to specify the value of the output.
Subdomain Scalene: Increasing size Decreasing size Largest as second Isosceles: a=b & other side larger a=c & other side larger b=c & other side larger a=b & other side smaller a=c & other side smaller b=c & other side smaller Equilateral: All sides equal Not a triangle: Largest rst Largest second Largest third Bad inputs: One bad input Two bad inputs Three bad inputs
Example Test Case (3,4,5 scalene) (5,4,3 scalene) (4,5,3 scalene)
(5,5,8 isosceles) (5,8,5 isosceles) (8,5,5 isosceles) (8,8,5 isosceles) (8,5,8 isosceles) (5,8,8 isosceles)
(5,5,5 equilateral)
(6,4,2 not a triangle) (4,6,2 not a triangle) (1,2,3 not a triangle)
( 1,2,4 bad inputs) (3, 2, 5 bad inputs) (0,0,0 bad inputs)
G. Myers, The Art of Software Testing, New York: John Wiley, 1979.
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