Wednesday, November 18, 2009

15.9 Polymorphism and Dynamic Binding













15.9 Polymorphism and Dynamic Binding


Limited use of polymorphism and dynamic binding is easily addressed by unfolding polymorphic calls, considering each method that can be dynamically bound to each polymorphic call. Complete unfolding is impractical when many references may each be bound to instances of several subclasses.


Consider, for example, the code fragment in Figure 15.15. Object Account may by an instance of any of the classes USAccount, UKAccount, EUAccount, JPAccount, or OtherAccount. Method validateCredit can be dynamically bound to methods validate- Credit of any of the classes EduCredit, BizCredit, or IndividualCredit, each implementing different credit policies. Parameter creditCard may be dynamically bound to VISACard, AmExpCard, or ChipmunkCard, each with different characteristics. Even in this simple example, replacing the calls with all possible instances results in 45 different cases (5 possible types of account × 3 possible types of credit × 3 possible credit cards).












1 abstract class Credit {
15 ...
16 abstract boolean validateCredit( Account a, int amt, CreditCard c);
60 ...
61 }










Figure 15.15: A method call in which the method itself and two of its parameters can be dynamically bound to different classes.

The explosion in possible combinations is essentially the same combinatorial explosion encountered if we try to cover all combinations of attributes in functional testing, and the same solutions are applicable. The combinatorial testing approach presented in Chapter 11 can be used to choose a set of combinations that covers each pair of possible bindings (e.g., Business account in Japan, Education customer using Chipmunk Card), rather than all possible combinations (Japanese business customer using Chipmunk card). Table 15.4 shows 15 cases that cover all pairwise combinations of calls for the example of Figure 15.15.


























































Table 15.4: A set of test case specifications that cover all pairwise combinations of the possible polymorphic bindings of Account, Credit, and creditCard.


Open table as spreadsheet

Account



Credit



creditCard



USAccount



EduCredit



VISACard



USAccount



BizCredit



AmExpCard



USAccount



individualCredit



ChipmunkCard



UKAccount



EduCredit



AmExpCard



UKAccount



BizCredit



VISACard



UKAccount



individualCredit



ChipmunkCard



EUAccount



EduCredit



ChipmunkCard



EUAccount



BizCredit



AmExpCard



EUAccount



individualCredit



VISACard



JPAccount



EduCredit



VISACard



JPAccount



BizCredit



ChipmunkCard



JPAccount



individualCredit



AmExpCard



OtherAccount



EduCredit



ChipmunkCard



OtherAccount



BizCredit



VISACard



OtherAccount



individualCredit



AmExpCard



The combinations in Table 15.4 were of dynamic bindings in a single call. Bindings in a sequence of calls can also interact. Consider, for example, method getYTD- Purchased of class Account shown in Figure 15.4 on page 278, which computes the total yearly purchase associated with one account to determine the applicable discount. Chipmunk offers tiered discounts to customers whose total yearly purchase reaches a threshold, considering all subsidiary accounts.


The total yearly purchase for an account is computed by method getYTDPurchased, which sums purchases by all customers using the account and all subsidiaries. Amounts are always recorded in the local currency of the account, but getYTDPurchased sums the purchases of subsidiaries even when they use different currencies (e.g., when some are bound to subclass USAccount and others to EUAccount). The intra- and interclass testing techniques presented in the previous section may fail to reveal this type of fault. The problem can be addressed by selecting test cases that cover combinations of polymorphic calls and bindings. To identify sequential combinations of bindings, we must first identify individual polymorphic calls and binding sets, and then select possible sequences.


Let us consider for simplicity only the method getYTDPurchased. This method is called once for each customer and once for each subsidiary of the account and in both cases can be dynamically bound to methods belonging to any of the subclasses of Account (UKAccount, EUAccount, and so on). At each of these calls, variable totalPurchased is used and changed, and at the end of the method it is used twice more (to set an instance variable and to return a value from the method).


Data flow analysis may be used to identify potential interactions between possible bindings at a point where a variable is modified and points where the same value is used. Any of the standard data flow testing criteria could be extended to consider each possible method binding at the point of definition and the point of use. For instance, a single definition-use pair becomes n × m pairs if the point of definition can be bound in n ways and the point of use can be bound in m ways. If this is impractical, a weaker but still useful alternative is to vary both bindings independently, which results in m or n pairs (whichever is greater) rather than their product. Note that this weaker criterion would be very likely to reveal the fault in getYTDPurchased, provided the choices of binding at each point are really independent rather than going through the same set of choices in lockstep. In many cases, binding sets are not mutually independent, so the selection of combinations is limited.














No comments: