By Derek Coleman (auth.)

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A familiar example is the type complex number, which consists of all possible ordered pairs of real numbers. Thus type complex = record realpart : real; imagpart : real end or more briefly type complex = record realpart, imagpart : real end define complex numbers to be records with realpart and imagpart components, and each components is of type real. We may indicate a complex constant such as 23 +iS as complex (23,5) the name of the type being made explicit so as to avoid ambiguity. Another simple record type is the date, which may be declared type date = record day: 1 ..

In most programming languages, arrays are restricted to mappings from integers to integers, reals or booleans. This is an arbitrary restriction, any sufficiently small finite type may be used as domain and any type as range. For example, in a payroll program the number of hours worked on each day of the week by a worker could be stored in an array hoursworked: array dayofweek of real t Number of elements. 0, etc. 3 IMPLEMENTATION OF ARRAYS The implementation of one-dimensional arrays in store is familiar to most programmers.

When faced with this problem the programmer must be prepared initially to 'back off from many of the details provided in the specification so as to be able to proceed with stepwise refinement. 2). To find the underlying structure of the program we initially discard as much detail as possible without destroying the essence of the problem. Clearly we can ignore the details and processing of individual record structures. Another simplification is to assume that the transaction file contains at most one record per stock code.

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