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### Re: Generalizing Code: Generating Unique Permutations

by ig (Vicar)
 on Dec 17, 2008 at 05:34 UTC ( #730835=note: print w/replies, xml ) Need Help??

Your various examples and descriptions seem a bit inconsistent to me, so I am probably misunderstanding something. None the less, the following appears to do what your last example does, without the hard coded nested loops. It could easily be modified for different combinations of combinations and variations (ouch!)

update: replaced foreach loop in sub with a map to tidy it up.

```use strict;
use warnings;
use Algorithm::Combinatorics qw(combinations variations_with_repetitio
+n);

my @data = ('A', 'B', 'C', 'D', 'E', 'F');
my \$cardinality = 2;

for my \$cardinality (1..3) {

print "\n\nCardinality: \$cardinality\n";

my \$dataref = getPairsOfCombinations(\@data, \$cardinality);

if (\$dataref == 0) {
}

for (my \$i = 0; \$i < scalar(@\$dataref); \$i++) {

print "( " .  join( ',', map {  "( " . join(',', @{\$_}) . " )"
+  }   @{ \$dataref->[\$i] }  ) .  " )\n";

}
}

exit(0);

sub getPairsOfCombinations {
my (\$data, \$cardinality) = @_;

my @combinations = combinations(\@data, \$cardinality);
my @variations = variations_with_repetition([0..\$#combinations], 2
+);

return [ map { [ map { \$combinations[\$_] } @{\$_} ] } @variations ]
+;
}

This produces the following (abridged)

```
Cardinality: 1
( ( A ),( A ) )
( ( A ),( B ) )
( ( A ),( C ) )
( ( A ),( D ) )
( ( A ),( E ) )
( ( A ),( F ) )
( ( B ),( A ) )
( ( B ),( B ) )
( ( B ),( C ) )
( ( B ),( D ) )
( ( B ),( E ) )
( ( B ),( F ) )
( ( C ),( A ) )
( ( C ),( B ) )
( ( C ),( C ) )
( ( C ),( D ) )
( ( C ),( E ) )
( ( C ),( F ) )
( ( D ),( A ) )
( ( D ),( B ) )
( ( D ),( C ) )
( ( D ),( D ) )
( ( D ),( E ) )
( ( D ),( F ) )
( ( E ),( A ) )
( ( E ),( B ) )
( ( E ),( C ) )
( ( E ),( D ) )
( ( E ),( E ) )
( ( E ),( F ) )
( ( F ),( A ) )
( ( F ),( B ) )
( ( F ),( C ) )
( ( F ),( D ) )
( ( F ),( E ) )
( ( F ),( F ) )

Cardinality: 2
( ( A,B ),( A,B ) )
( ( A,B ),( A,C ) )
( ( A,B ),( A,D ) )
( ( A,B ),( A,E ) )
( ( A,B ),( A,F ) )
( ( A,B ),( B,C ) )
( ( A,B ),( B,D ) )
( ( A,B ),( B,E ) )
( ( A,B ),( B,F ) )
( ( A,B ),( C,D ) )
( ( A,B ),( C,E ) )
( ( A,B ),( C,F ) )
( ( A,B ),( D,E ) )
( ( A,B ),( D,F ) )
( ( A,B ),( E,F ) )
( ( A,C ),( A,B ) )
( ( A,C ),( A,C ) )
( ( A,C ),( A,D ) )
( ( A,C ),( A,E ) )
( ( A,C ),( A,F ) )
( ( A,C ),( B,C ) )
( ( A,C ),( B,D ) )
( ( A,C ),( B,E ) )
( ( A,C ),( B,F ) )
( ( A,C ),( C,D ) )
( ( A,C ),( C,E ) )
( ( A,C ),( C,F ) )
( ( A,C ),( D,E ) )
( ( A,C ),( D,F ) )
( ( A,C ),( E,F ) )
( ( A,D ),( A,B ) )
( ( A,D ),( A,C ) )
( ( A,D ),( A,D ) )
...

Cardinality: 3
( ( A,B,C ),( A,B,C ) )
( ( A,B,C ),( A,B,D ) )
( ( A,B,C ),( A,B,E ) )
( ( A,B,C ),( A,B,F ) )
( ( A,B,C ),( A,C,D ) )
( ( A,B,C ),( A,C,E ) )
( ( A,B,C ),( A,C,F ) )
( ( A,B,C ),( A,D,E ) )
( ( A,B,C ),( A,D,F ) )
( ( A,B,C ),( A,E,F ) )
( ( A,B,C ),( B,C,D ) )
( ( A,B,C ),( B,C,E ) )
( ( A,B,C ),( B,C,F ) )
( ( A,B,C ),( B,D,E ) )
( ( A,B,C ),( B,D,F ) )
( ( A,B,C ),( B,E,F ) )
( ( A,B,C ),( C,D,E ) )
( ( A,B,C ),( C,D,F ) )
( ( A,B,C ),( C,E,F ) )
( ( A,B,C ),( D,E,F ) )
( ( A,B,D ),( A,B,C ) )
( ( A,B,D ),( A,B,D ) )
( ( A,B,D ),( A,B,E ) )
( ( A,B,D ),( A,B,F ) )
( ( A,B,D ),( A,C,D ) )
( ( A,B,D ),( A,C,E ) )
( ( A,B,D ),( A,C,F ) )
( ( A,B,D ),( A,D,E ) )
( ( A,B,D ),( A,D,F ) )
( ( A,B,D ),( A,E,F ) )
( ( A,B,D ),( B,C,D ) )
( ( A,B,D ),( B,C,E ) )
( ( A,B,D ),( B,C,F ) )
( ( A,B,D ),( B,D,E ) )
( ( A,B,D ),( B,D,F ) )
( ( A,B,D ),( B,E,F ) )
( ( A,B,D ),( C,D,E ) )
( ( A,B,D ),( C,D,F ) )
( ( A,B,D ),( C,E,F ) )
( ( A,B,D ),( D,E,F ) )
( ( A,B,E ),( A,B,C ) )
( ( A,B,E ),( A,B,D ) )
( ( A,B,E ),( A,B,E ) )
( ( A,B,E ),( A,B,F ) )
( ( A,B,E ),( A,C,D ) )
( ( A,B,E ),( A,C,E ) )
( ( A,B,E ),( A,C,F ) )
( ( A,B,E ),( A,D,E ) )
( ( A,B,E ),( A,D,F ) )
( ( A,B,E ),( A,E,F ) )
( ( A,B,E ),( B,C,D ) )
( ( A,B,E ),( B,C,E ) )
( ( A,B,E ),( B,C,F ) )
( ( A,B,E ),( B,D,E ) )
( ( A,B,E ),( B,D,F ) )
( ( A,B,E ),( B,E,F ) )
( ( A,B,E ),( C,D,E ) )
( ( A,B,E ),( C,D,F ) )
( ( A,B,E ),( C,E,F ) )
( ( A,B,E ),( D,E,F ) )
( ( A,B,F ),( A,B,C ) )
( ( A,B,F ),( A,B,D ) )
( ( A,B,F ),( A,B,E ) )
( ( A,B,F ),( A,B,F ) )
( ( A,B,F ),( A,C,D ) )
( ( A,B,F ),( A,C,E ) )
( ( A,B,F ),( A,C,F ) )
( ( A,B,F ),( A,D,E ) )
( ( A,B,F ),( A,D,F ) )
( ( A,B,F ),( A,E,F ) )
( ( A,B,F ),( B,C,D ) )
( ( A,B,F ),( B,C,E ) )
( ( A,B,F ),( B,C,F ) )
( ( A,B,F ),( B,D,E ) )
( ( A,B,F ),( B,D,F ) )
( ( A,B,F ),( B,E,F ) )
( ( A,B,F ),( C,D,E ) )
( ( A,B,F ),( C,D,F ) )
( ( A,B,F ),( C,E,F ) )
( ( A,B,F ),( D,E,F ) )
...

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