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G. g. List I List! PROGRAMMING 51 The type of a data item tells us what sort of object it is. It may be numerical or non-numerical: some common types are real an ordinary number integer an integer Boolean a truth value logical a group of binary digits. Another sort of item that can occur in a program is a function. 2. Expressions, Commands and Definitions Data items and functions can be formed into expressions, which can be numerical or non-numerical depending on the component items and operators.

FD 42 11. P. M. WOODWARD S E Q U E N T I A L LIST PROGRAMMING [Note. ALGOL conventions will be used in this section as a medium for discussing some of the points which arise in sequential list programming. ] The idea underlying command-type programming is that of assigning values to variables so that these values are stored up for subsequent recall and use. The ALGOL assignment statement s := x means "copy the value of x into s" and enables us to go and alter one of them, at the same time keeping the original value.

The sorting procedure therefore goes in two phases: during the first the tree is constructed, and during the second the items from the tree are printed in correct order. 61 PROGRAMMING A node is represented by a list of three items, in the form Item at node cp—crs Left branch Right branch A non-existent left or right branch is indicated by a NIL in the appropriate position. An item x is added to a tree z by the routine routine Add[x, z] ref z §1 §2 test Null[z] then do §3 z : = Node[x]; Return $3 or test x < First[z] then do Add[x, Second[z]] or do Add[x, Third[z]] $2 where First[z] = Hd[z] and Second[z] = Hd[Tl[z]] and Third[z] = Hd[TI[T!

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