By Manoochehr Azmoodeh (auth.)
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Additional info for Abstract Data Types and Algorithms
This simple analysis may not work for all loops. In these cases other properties of the program should be used to infer the time complexity. As an example, let us look at the following hypothetical program fragment: size i := 1i while i m; I: begin < n do i:=i+l; statement,; . . . . . . . . . O(n) if size > 0 then begin Choose a number in the range l .. size and assign it to s; size z= size-s; for •= j 1 to s do statement,; end; .......... O(n) end The while loop above will be executed n-1 times.
Then, other units or programs can use this unit by means of a uses clause. program reverseCinput, output); (M This makes available the interface uses stk; declarations of the unit stk K) var c • char; S 1 stack; begin (K end. as before K) Abstract Data Types and Program Design 39 The language Modula-2 provides somewhat similar mechanisms for defining and implementing data types. In Modula-2, a definition module gives the interface section and a separate implementation module gives the implementation of procedures and functions defined in the definition module.
39-52. Knuth, D. E. (1973). The Art of Computer Programming. Volume 1: Fundamental Algorithms, 2nd edition, Addison-Wesley, Reading, Massachusetts. Sleator, D. D. and Tarjan, R. E. (1985). 'Amortised efficiency of list update and paging rules', in CACM, Vol. 2, pp. 202-208. Stubbs, D. and Webre, N. (1985). Data Structures with Abstract Data Types and Pascal, Brooks/Cole Publishing, Monterey, California. Wulf, W. , Hilfinger, P. and Flon, L. (1981). Fundamental Structures of Computer Science, Addison-Wesley, Reading, Massachusetts.
Abstract Data Types and Algorithms by Manoochehr Azmoodeh (auth.)