An Introduction to Data Base Systems by C.J. Date

By C.J. Date

Offers an authoritative source for readers drawn to gaining perception into and realizing of the rules of database structures. offers reliable grounding within the foundations of database expertise and offers a few rules as to how the sphere is probably going to enhance sooner or later. New seventh variation. DLC: Database administration.

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ICOLl and ICOL2 contain the counts of the nonzero elements in the columns of A and QR, respectively, and IL is used as a counter while transposing. The triples i, j, aij are entered, the k index calculated, and both alj and k stored in their respective arrays in the order given by the continuous counter INDEX (it is assumed that the triples i, j, alj are entered in column order). An i index of - 999 signals the end of the list. The heart of the program incorporates a pair of DO loops. The first, DO I = 1, N, is a row counter and the second, DO J = 1, N, a column counter.

Therefore, a22 after transposing will really be a1 3' Other elements will also unwittingly be modified. We must look for some other mechanism. One possible scheme would be to use an auxiliary array of size n-4 in this instance-to contain the elements of the longest row: all' all' a 13 , a 14' Replace these elements by zeros as they are picked off the array. At the end of the row scan shift the remaining elements, starting with a2 2' downward by an amount large enough to create n zeros at the beginning of the array where the row elements in the temporary array will be placed.

There are no arrays QR or IND2; the NEXT array takes the place oflND2. To print out the transpose we merely use INDI (NEXT(L» instead ofINDI (L) inside ofthe DO L = 1,2000 loop. The call to DECOMIJ within the loop reverses the parameters i and j rendering unnecessary their subsequent interchange. The algorithm for an in-place transpose requires space for both the INDI and the NEXT arrays. If the product mn is less than 32,767, INTEGER * 2 arrays are sufficient. Otherwise, they must be declared INTEGER * 4.

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