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EXAMPLE 9.8
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Draw a directed graph showing the dependencies between the variables in the code in Example 9.7. Use solid lines for data dependencies and dashed lines for control dependencies. From the graph in Fig. 9-6, we can see that the output slice will start from the only output, z. The tokens z, z, y , z, and 0 from the statements z=z+y and z=0 are added to the slice. Next, the tokens x and 0 are added from the statement while x> 0. Next, the tokens, x , x , and 1 from the statement x=x+1 are added. This exhausts the statements, so everything in this program is in the output slice for the variable z.
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z=z+y x=x_1 z
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Fig. 9-6 An input slice can start with the input variable x . The tokens x , 0, x , x , and 1 from the statements while x>0 and x=x-1 are added to the slice. Next, the tokens, z, z, and y from the statement z=z+y are added. No other tokens can be added. Thus, the input slice is everything except z=0. An input slice for the variable y will only contain the initial y token and the tokens z and y from the statement z=z+y.
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James Bieman and Linda Ott, Measuring Functional Cohesion, IEEE TOSE, 20:8 August 1994, 644 657.
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134 9.4.2 GLUE TOKENS
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CHAPTER 9 Software Design
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Bieman and Ott also de ned some cohesion metrics using output slices. The de nitions are based on glue tokens, which are tokens (code sections) that are in more than one slice, and superglue tokens, which are in all slices. Adhesiveness of a token is the percentage of output slices in a procedure that contains the token. There are three functional cohesion measures: Weak functional cohesion (WFC) The ratio of glue tokens to total tokens Strong functional cohesion (SFC) The ratio of superglue tokens to total tokens Adhesiveness (A) The average adhesiveness of all tokens
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EXAMPLE 9.9
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Calculate the functional cohesion measures for the following code fragment. cin >> a >> b; int x,y,z; x=0; y=1; z=1; if (a > b){ x = a*b; while (10 > a){ y=y+z; a=a+5; } else { x=x+b; } Fig. 9-7 shows each token from the code. The arcs are drawn from each token to all tokens that are immediately affected by the value of that token.
a b 0 1
b x = a b
10 10 y y a x = x b > = = a y a z 5 5
Fig. 9-7.
Directed graph showing all the dependencies.
CHAPTER 9 Software Design
See Fig. 9-8.
axy a x a axy a a 10 ay 10 y y y y x x x x = x x x b a a z z ay a ay a > y = y ay = a y z ay 5 a 5 = x 0 axy b y y = y 1 x 0 zy z zy = 1 zy 1
axy b x x = x a x b
Fig. 9-8.
Annotated tokens showing the slices on which the tokens occur.
There are no superglue tokens, so the strong functional cohesion (SFC) is equal to zero. Out of 31 tokens, there are 12 glue tokens, so the weak functional cohesion is 12/31 or 0.387. There are four slices. Zero tokens have 100 percent adhesiveness. Four tokens are on three slices, so they have 75 percent adhesiveness. Eight tokens are on two slices, so they have 50 percent adhesiveness. The remaining tokens, 19, are on only one slice, so they have 25 percent adhesiveness. Adhesiveness is the average adhesiveness of all tokens, so 4 0:75 8 0:50 19 0:25 =31 11:25=31 0:363.
Measuring Coupling
Coupling is a measure of how closely tied are two or more modules or classes. In particular, a coupling metric should indicate how likely would it be that a change to another module would a ect this module. Many coupling metrics have been proposed. The basic form of a coupling metric is to establish a list of items that cause one module to be tied to the internal workings of another module.
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