By Wirth N.
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Additional info for Algorithms and data structures, Oberon version
This operation is basic to every text processing system, and there is obvious interest in finding an efficient algorithm for this task. A specific feature of this problem is the presence of two arrays and a necessity to scan them simultaneously in such a way that the coordination of the two indices used to scan the arrays is determined by the data. e. a multibranch version of the WHILE loop. This fundamental and powerful control structure is described in Appendix C. We consider three string search algorithms: straight string search; an optimization of the straight search due to Knuth, Morris and Pratt,; and, finally, the algorithm of Boyer and Moor based on a revision of the basic idea of the straight search, which proves to be the most efficient of the three.
This requires an intermediate buffer in the form of a first-in-last-out queue (stack). NumberToChars *) REPEAT d[i] := x MOD 10; x := x DIV 10; INC(i) UNTIL x = 0; REPEAT DEC(i); Write(CHR(d[i] + ORD("0"))) UNTIL i = 0 Note. A consistent substitution of the constant 10 in these algorithms by a positive integer B will yield number conversion routines to and from representations with base B. A frequently used case is B = 16 (hexadecimal), because the involved multiplications and divisions can be implemented by simple shifts of the binary numbers.
In contrast to the first solution, this algorithm — like linear search — finds the matching element with the least index. 3 Table Search A search through an array is sometimes also called a table search, particularly if the keys are themselves structured objects, such as arrays of numbers or characters. The latter is a frequently encountered case; the character arrays are called strings or words. Let us define a type String as String = ARRAY M OF CHAR and let order on strings x and y be defined as follows: (x = y) ≡ (Aj: 0 ≤ j < M : xj = yj) (x < y) ≡ Ei: 0 ≤ i < N : ((Aj: 0 ≤ j < i : xj = yj) & (xi < yi)) In order to establish a match, we evidently must find all characters of the comparands to be equal.
Algorithms and data structures, Oberon version by Wirth N.