Re: [patch 1/13] Qsort

From: James Lamanna
Date: Sun Jan 23 2005 - 19:29:20 EST


> On Sunday, January 23, 2005, Rafael J. Wysocki wrote:
> > On Sunday, 23 of January 2005 06:05, Jesper Juhl wrote:
> > > On Sun, 23 Jan 2005, Andi Kleen wrote:
> > Even with large data sets that are mostly unsorted shell sorts performance
> > is close to qsort, and there's an optimization that gives it O(n^(3/2))
> > runtime (IIRC),
>
> Yes, there is.

After doing a small amount of research into this, according to the abstract at
http://www.cs.princeton.edu/~rs/shell/paperF.pdf you can get O(n^(4/3))
with different increment sequences. (1, 8, 23, 77, 281 ...)

So I guess the sort function could look something like this for XFS use
(for reference only!):

void shellsort(void *array, size_t total_elems, size_t size,
int (*cmp)(const void *, const void *))
{
size_t i, j;
int k, h;
register char *a = array;
const int incs[3] = {23, 8, 1};

for (k = 0; k < 3; k++) {
for (h = incs[k], i = h; i < total_elems; i++) {
j = i;
while (j >= h && cmp(a + (j-h) * size, a + j * size) > 0) {
swap(a + j * size, a + (j-h) * size);
j -= h;
}
}
}
}

-- James Lamanna
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