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Subject: Re: Beowulf hot spots shown pictorially

Author: Sven Reichard

Date: 02:55:59 06/21/02

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On June 21, 2002 at 05:12:28, Sune Fischer wrote:

>On June 21, 2002 at 04:01:41, Sven Reichard wrote:
>
>>Maybe I'm missing something here, but if you furthermore agree to use a hash
>>table of size 2^i, i <= 32, you can replace all mods, divs and muls by a 32 bit
>>'and'. The performance hit of the slightly smaller table (less than factor 2)
>>should be outweighed by the faster access.
>>
>>just my 2 bits
>
>How do you know that?
>If you use power 2 size then you get pretty big jumps; 64,128,256,512.
>So you really have only 4 sizes of the hash. I think it is better to use 200 MB
>with modulo than 128 MB with AND (there are not divs or muls), the save is not
>_that_ much compared to what you save when getting those extra hashhits.
>Of course I don't _know_, I'm just guessing :)
>
>Some claim the distribution of the keys are better if the number of entries is
>prime, though I'm not convinced of that I can't rule it out.
>
>just my two øre.
>-S.

Sune,

my comment was based on two pieces of information:

1) It was said above that the modulus calculation was a _hot spot_, so I assume
it is taking considerable time. Of course, like everybody else, I couldn't
download the picture, so I don't know for sure how hot this spot really is.

2) Some fairly old research papers state that the effect of doubling the table
size is about 3% for small sizes, and about 1% for large sizes. This might be
outdated (I don't have the exact reference, but it is from the early 90's), but
I made a similar observation in my program. I don't rule out that this is due to
the fact that my tables aren't too clever.

Since I don't think that 1% is a considerable amount, this leads me to the
conclusion that it might be beneficial to restrict the size to powers of two.

My 5 agurot back to you. :)

Sven.





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