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Section 8.3 Comparing Records

When we want to sort or search for items, we need to compare them to determine their order. For simple values like integers or strings, we can use standard comparison operators. However, when dealing with complex data structures like records with multiple values, we need a way to compare and sort them based on a specific field called the key.
Similarly, when searching for records in a database, we typically define the search criteria using a key value rather than matching the entire contents of the record. The key value helps us locate the desired record efficiently.
To implement sorting and searching, the keys need to be comparable. At the very least, we should be able to determine if two keys are equal or not. Ideally, the keys should establish a total order, allowing us to determine their relative positions. This enables more efficient searching algorithms like binary search.
To extract the key value from a record, we can define a method called ".key()" or use language-specific features like the Comparable interface in Java. However, using a fixed method name may not always be feasible due to naming conflicts or the need to sort or search based on different keys at different times.
An alternative approach is to use a comparator, which is a function or class responsible for extracting the key from a record. The comparator can be passed as a parameter to sorting or searching functions, allowing flexibility in handling different record types or fields. In some languages, such as Java or C++, a comparator class can be used as a parameter for defining classes like Binary Search Trees (BST).
In situations where a key extraction method is not possible, a general solution is to store key-value pairs explicitly in the data structure. For example, records can be stored in an array where each entry contains both the key value and a pointer to the record itself. This approach minimizes duplication of records and allows us to use different keys for different purposes by storing pointers in separate arrays.
Overall, the key value plays a crucial role in sorting and searching, providing a means to compare and organize data efficiently.
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