Needs of Modularity
Now we will see why modularity is required to build the system. Consider two problems, p1 and p2 a complexity function(x) and an effort function E(x) to solve a problem x.
As in a general case, if the complexity of problem p1 is more than the required effort will be more for it states as:
AND E (P1) > E(P2)
Another thing is that the complexity of the complete joint problem is greater than the addition of the complexities of separate problem:
C(P1+P2)> C(P1) + C(P2)
E(P1+P2) > E(P1) + E(P2)
It result combined effort will also be much.
So, if we require that the complexity and effort should not be much to solve a problem then the problem must be modularized into manageable pieces. If the problem is modularized the cost will also decrease, as the total number of modules increases. It is shown in fig 5.4, where M is the total number of modules.
So, modularity is an important property of most engineering processes and products. In the year 1988, Mayer is his book object oriented software construction gave a set of five principles to define an effective modular system. They are:
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