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Re: Generating a grid in the 3D,4D,5D...N space - Advice/Combinatory/Matrices [message #94868 is a reply to message #94864] Tue, 14 November 2017 02:38 Go to previous messageGo to previous message
Markus Schmassmann is currently offline  Markus Schmassmann
Messages: 129
Registered: April 2016
Senior Member
On 11/13/2017 03:50 PM, clement.feller@obspm.fr wrote:
> I coming back to you for some advice on how to properly generate a grid in an N-D space. I hope that this expression is the proper one in english, but in any case, let me illustrate this by the following exemple:
>> a = indgen(3,3) & print, a
> 0 1 2
> 3 4 5
> 6 7 8
>
> What I am looking for would be to find the clean and proper IDL way to generate the following sets of combinations:
> 0,1,2
> 0,1,5
> 0,1,8
> 0,4,2
> 0,4,5
> .....
> .....
>
> 6,7,2
> 6,7,5
> 6,7,8
>
> Now, I have found ways to do this for a 2D,3D,4D,5D space with either nested loops (yuck! I know), or with combinations of rebin, reform and transpose.
> I've been successfully using those solutions for several weeks, yet I wonder on how to expand this to a general case and in the proper IDL way.
>
> [...]
>
> I've playing around with nested indgen, looking for a repetitive motive from the 2D to the 5D space when using rebin, reform, transpose to assemble a generic command. But nothing much so far....
>
> Does anybody out there already had a go with such problem before or any advice ?
is this what you are looking for ?

array=lindgen(n,long(n)^n)
for k=0,n-1 do array[k,*]= $
rebin((n*lindgen(n^(k+1))+k) mod (n^2),long(n)^n,/sample)

Markus
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