By Wirth N.
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Extra resources for Algorithms and data structures, Oberon version
For a thorough treatment of sorting, the interested reader is referred to the excellent and comprehensive compendium by D. E. Knuth [2-7] (see also Lorin [2-10]). 2 Sorting Arrays The predominant requirement that has to be made for sorting methods on arrays is an economical use of the available store. This implies that the permutation of items which brings the items into order has to be performed in situ, and that methods which transport items from an array a to a result array b are intrinsically of minor interest.
F. , New York, Academic Press, 1972. R. 1], pp. 83-174. 3] K. Jensen and N. Wirth. PASCAL — User Manual and Report. Springer-Verlag, 1974. 4] N. Wirth. Program development by stepwise refinement. Comm. ACM, 14, No. 4 (1971), 221-27. 5] N. Wirth. Programming in Modula-2. Springer-Verlag, 1982. 6] N. Wirth. On the composition of well-structured programs. Computing Surveys, 6, No. 4, (1974) 247-59. R. Hoare. The Monitor: An operating systems structuring concept. Comm. ACM 17, 10 (Oct. Wirth. Algorithms and Data Structures.
Wirth. Algorithms and Data Structures. Oberon version 36 a: ARRAY N+1 OF INTEGER, and the linear search algorithm with sentinel is expressed by a[N] := x; i := 0; WHILE a[i] # x DO INC(i) END (* ADenS18_Search *) The resulting condition, derived from the same invariant as before, is (ai = x) & (Ak: 0 ≤ k < i : ak ≠ x) Evidently, i = N implies that no match (except that for the sentinel) was encountered. 2 Binary Search There is quite obviously no way to speed up a search, unless more information is available about the searched data.