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Re: Bag uniform distribution algorithms

by LanX (Chancellor)
on Oct 27, 2013 at 21:38 UTC ( #1059935=note: print w/replies, xml ) Need Help??

in reply to Bag uniform distribution algorithms

I'm not sure how "as uniformly distributed as possible" can be qualified ...

Do you have a test-code to check the "quality" of a solution?

But sorting according to a weighting function gives similar results like shown by you.

DB<171> %h=( A => 4, B => 2, C => 3, D => 1 ) => ("A", 4, "B", 2, "C", 3, "D", 1) DB<172> $sum=0; $sum+=$_ for values %h; => "" DB<173> @list=map { my ($k,$v)=($_,$h{$_}); my $int=$sum/$v; map { + [ $k => $int*($_-.5)] } 1..$v } keys %h => ( ["A", "1.25"], ["A", "3.75"], ["A", "6.25"], ["A", "8.75"], ["D", 5], ["C", "1.66666666666667"], ["C", 5], ["C", "8.33333333333333"], ["B", "2.5"], ["B", "7.5"], ) DB<174> map {$_->[0]} sort { $a->[1] <=> $b->[1] or $a->[0] cmp $b-> +[0]} @list => ("A", "C", "B", "A", "C", "D", "A", "B", "C", "A")

Changing the weighting function would also allow to repeat the pattern in a way that joined sequences are still equally distributed ( that is A doesn't neighbor A )

An iterator-version shouldn't be too difficult.

Cheers Rolf

( addicted to the Perl Programming Language)


code simplified


well after second thought it's quite easy to find input where this approach fails ... never mind! :(

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[shmem]: that's why it is called "Windows"
[stevieb]: shmem thanks for the 'insight' :P
[shmem]: good thing that Sun already took "OpenWindows", otherwise I'd not stop to shudder imagining an "OpenWindows" from MS
[shmem]: more garbage in, more garbage out that would be
[stevieb]: I found that win10 broke a C# library I was using for one project while enhancing tests for a Perl dist, which breaks other Perl dists, and I'm about to throw my hands up on berrybrew. win2k12 broke one thing, win10 breaks something...
[stevieb]: ...unrelated which requires replacing a lot of code and a whole lib. I'm about to go nix only ffs
[shmem]: stevieb: what you're doing sounds afwully complex. Too much for me this evening to provide brighter insight ;-)
[stevieb]: I don't even own a Windows computer. Both my girl and I have a laptop each with Linux. I'm supporting Windows in some of my projects and I can't even guage whether it's worth it or not.
[stevieb]: shmem It's something I desired to have years ago, which is why I took over berrybrew. Cross-platform build/test automation locally, or over the network Test::BrewBuild

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