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Top Forums UNIX for Advanced & Expert Users Using other computers for processing Post 302152922 by bakunin on Saturday 22nd of December 2007 07:17:24 AM
Old 12-22-2007
Quote:
Originally Posted by porter
Y
Have you got a really crap algorithm that may be mathmatically correct but is really inefficient?
It won't hurt to check that with the "bible of programming", old and new testament, so to say ;-)) :

- Donald Knuth, The Art of Computer Programming
Depending on your problem there is Vol.1 (Numerical Algorithms), Vol.2 (Seminumerical Algorithms) and Vol.3 (Sorting and Searching)

- Robert Sedgewick, Algorithms in C
Covering only C but for purely mathematical problems this should be the same more or less.

Here is another way: switch to a language more suited for achieving calculation power than C - use FORTRAN! I don't think that the mathlib of FORTRAN 77 has ever been beaten for speed.

bakunin
 

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RADIXSORT(3)						   BSD Library Functions Manual 					      RADIXSORT(3)

NAME
radixsort, sradixsort -- radix sort LIBRARY
Standard C Library (libc, -lc) SYNOPSIS
#include <limits.h> #include <stdlib.h> int radixsort(const u_char **base, int nmemb, u_char *table, u_int endbyte); int sradixsort(const u_char **base, int nmemb, u_char *table, u_int endbyte); DESCRIPTION
The radixsort() and sradixsort() functions are implementations of radix sort. These functions sort an nmemb element array of pointers to byte strings, with the initial member of which is referenced by base. The byte strings may contain any values. End of strings is denoted by character which has same weight as user specified value endbyte. endbyte has to be between 0 and 255. Applications may specify a sort order by providing the table argument. If non-NULL, table must reference an array of UCHAR_MAX + 1 bytes which contains the sort weight of each possible byte value. The end-of-string byte must have a sort weight of 0 or 255 (for sorting in reverse order). More than one byte may have the same sort weight. The table argument is useful for applications which wish to sort differ- ent characters equally, for example, providing a table with the same weights for A-Z as for a-z will result in a case-insensitive sort. If table is NULL, the contents of the array are sorted in ascending order according to the ASCII order of the byte strings they reference and endbyte has a sorting weight of 0. The sradixsort() function is stable, that is, if two elements compare as equal, their order in the sorted array is unchanged. The sradixsort() function uses additional memory sufficient to hold nmemb pointers. The radixsort() function is not stable, but uses no additional memory. These functions are variants of most-significant-byte radix sorting; in particular, see D.E. Knuth's Algorithm R and section 5.2.5, exercise 10. They take linear time relative to the number of bytes in the strings. RETURN VALUES
Upon successful completion 0 is returned. Otherwise, -1 is returned and the global variable errno is set to indicate the error. ERRORS
[EINVAL] The value of the endbyte element of table is not 0 or 255. Additionally, the sradixsort() function may fail and set errno for any of the errors specified for the library routine malloc(3). SEE ALSO
sort(1), qsort(3) Knuth, D.E., "Sorting and Searching", The Art of Computer Programming, Vol. 3, pp. 170-178, 1968. Paige, R., "Three Partition Refinement Algorithms", SIAM J. Comput., No. 6, Vol. 16, 1987. McIlroy, P., "Computing Systems", Engineering Radix Sort, Vol. 6:1, pp. 5-27, 1993. HISTORY
The radixsort() function first appeared in 4.4BSD. BSD
January 27, 1994 BSD

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