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Re: Pair Counts in an Annulus, for large data sets [message #51526 is a reply to message #51258] Wed, 22 November 2006 20:58 Go to previous message
fatcat3131 is currently offline  fatcat3131
Messages: 6
Registered: November 2006
Junior Member
hi there, me again...

i've been tinkering with things, and i simply don't understand the
histogram principle (i even read the tutorial!). would you mind
explaining in slightly more detail?

it's really not clicking with me how setting the binsize to Delta-R
would allow me to count the points which lie in the distances (R to
Delta-R) from a point P, and do this for all N points. i am interested
in just one Delta-R, and counting the point-point pairs for this
Delta-R.

missing something,

Tara


David Fanning wrote:
> Tara writes:
>
>> I have a large data set (~350,000 galaxies) of x,y points. For a given
>> radius R [R=sqrt(x^2+y^2)], I need to count the total number of pairs
>> in the annulus R+deltaR. That is, I choose a given data point as my
>> center, then count the number of points that lie inside that annulus. I
>> then do this for each of my data points to get the total number of
>> pairs. A simplified version of the code I'm using now is as follows:
>>
>> I've tried my best to avoid the urge to put lots of for loops
>> everywhere (you should have seen it before!), but I just don't know how
>> to make it drastically more efficient. There must be a way though,
>> because the computations for my code are just ridiculous.... Is there a
>> way to eliminate that nasty loop I have, which would help things?
>>
>> Any help you can give would be greatly appreciated. I'm very new to
>> IDL, as you surely know. I'm and undergrad, too.
>
> Well, then, you are about to learn something about the most
> mysterious IDL command of all: HISTOGRAM. For that is
> *exactly* what you are trying to do. HISTOGRAM counts
> how many things are in each "bin" of a particular size.
> And it can even tell you which of the things you are
> counting are stored in each bin.
>
> I think your problem can be solved something like this
>
> r = SQRT(x^2+y^2)
> h = HISTOGRAM(r, BINSIZE=deltaR, REVERSE_INDICES=ri)
>
> The famous Histogram Tutorial will provide all the information
> you need to get beyond this:
>
> http://www.dfanning.com/tips/histogram_tutorial.html
>
> Cheers,
>
> David
> --
> David Fanning, Ph.D.
> Fanning Software Consulting, Inc.
> Coyote's Guide to IDL Programming: http://www.dfanning.com/
> Sepore ma de ni thui. ("Perhaps thou speakest truth.")
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