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3-5-1 An Overview of Direct les Direct les are based on direct access to a le, using a relative address as described in Chap 3-3-3 In immediate implementations of direct access, identi cation numbers that provide a relative address into the le are assigned to the data records Thus, employee Joe is designated as 257, and that tells us directly that his payroll record is to be found as record 257 We will list a number of problems
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with the use of direct access to locate data records, and then present the common methods used currently
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Identi cation numbers for a person or item may be needed in more than one le This requires that one object carry a variety of numbers To reuse space, the identi cation number has to be reassigned when a record has been deleted This causes confusion when processing past and present data together Natural keys are names, social security numbers, or inventory numbers where groups of successive digits have meaning Such keys are long; much longer than is needed to give a unique address to each record In general, the number of people or items which may be referred to by natural keys is much larger than the number of records to be kept on the le In other words, the key address space is much larger than the le space, and direct use of such a key would ll the le very sparsely
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De nitions for Direct les We de ne now the concept of a key-to-address transfor-
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mation or KAT, also denoted by the function The objective of the computation is to give each arriving record its own slot, based on the key provided This is achieved if we can distribute the n records uniformly over the m slots The argument for is the key eld from the record When a record is to be stored, the key is given with the record and computes the slot address for the insertion function of the hashed access method The common algorithms for perform this task by a randomizing hashing function on the argument When a record is to be retrieved a search key must be provided It will be transformed by the same function into a slot address, and the retrieval function of the method will fetch the record from the slot The le space is partitioned into m slots: each slot can hold one record The result of is a relative slot address, ranging from 0 to m 1 We need at least one slot per record expected, so that m n In practice the density of a direct le n/m 06 to 095 The higher densities are only feasible for relatively small records, as shown later in Fig 3-23 A subsequent procedure, as outlined in Chap 2-3-3, translates the relative slot address to an actual storage address Then the block containing this slot can be brought in from storage An actual access to the le obtains a block or a bucket of slots at a time The size of a bucket, y, is typically determined by the block size n so that y = B/R We can expect to nd yeff ective = m y records in a bucket The problems identi ed with the immediate use of keys such as le addresses are solved by interposing a computational procedure Such a key-to-address transformation (KAT) translates the key attribute values into relative addresses within the le space The incoming keys may be strings of characters or numbers, de ned as the key for the data le Each relative address to be produced identi es a slot into which a record may be placed and ranges from 0 to m 1 Figure 3-17 shows the access to a direct le for a new record with key John The KAT algorithm applied to the string John has generated the relative record address 314 The same KAT is applied to a search key when a record is to be fetched Most les will have their own key type and slot range Even with the same key the procedure may di er The KAT to compute the relative addresses from social-security-number key of a person in the 1000 slot Employees le di ers from the KAT for the same key in the 150 slot Sales personnel le
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