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Int a[ 256 ] a[ 128 ] ≡ *(a + 128) This is equivalent to the following. a[ 128 ] ≡ &a + ( 128 * sizeof( int ) ) Suppose we wanted to perform an analogous direct-access strategy for records in a file. First, we need fixed-length records, since we need to know how far to offset from the front of the file to find the i-th record. Second, we need some way to convert a record’s key into an offset location. Each of these requirements is non-trivial to provide, and both will be topics for further discussion.

To find a target record with key kt , we start by comparing against key k for the record in the middle of the file. If k = kt , we retrieve the record and return it. If k > kt , the target record could only exist in the lower half of the file—that is, in the part of the file with keys smaller than k—so we recursively continue our binary search there. If k < kt we recursively search the upper half of the file. We continue cutting the size of the search space in half until the target record is found, or until our search space is empty, which means the target record is not in the file.

Y is added at offset 20, and the head-of-stack offset is set to −1. 7. Z is added. 3c). To adopt this in-place deletion strategy, a record must be large enough to hold the deleted marker plus a file offset. Also, the head-of-stack offset needs to be stored within the file. For example, the head-of-stack offset could be appended to the end of the file when it’s closed, and re-read when it’s opened. 3 19 Variable-Length Deletion A more complicated problem is supporting deletion and dynamic space reclamation when records are variable length.

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