I've had a quick browse through CPAN to see whether there's a module that will save me from having to write the code, but I can't find anything suitable. Maybe from my description someone will be able to point you to something.

Your problem boils down to enumerating all the different combination of (-1, 0, 1) for each dimension, except that you need to omit (0, 0, 0, 0).

That is, for 4 dimensions, you want to iterate from (-1, -1, -1, -1), (-1, -1, -1, 0), (-1, -1, -1, 1), (-1, -1, 0, -1) ... all the way to (1, 1, 1, 1).

Dominus is covering this sort of stuff in a book he is writing on advanced techniques in Perl. He describes a (relatively) simple method of doing this using closures, rather than using recursion. I can't point you directly to the web page, but if you consult his home node you'll find out how to get there.

---

Thinking about this, and refreshing my mind about what Dominus wrote concerning iterators, the following code does the trick (without using mapcar :). Although skipping over the origin is a bit of an ugly hack. Improvements welcomed.

#! /usr/bin/perl -w

use strict;

sub neighbourhood {
    my $dim = shift;
    my @current = (-1) x $dim;
    my $done = 0;
    return sub {
         return if $done;
         my @res = @current;
         my $i;
         ITER: for ($i = 0; $i < scalar @current; ++$i) {
             if (++$current[$i] > 1 ) {
                 $current[$i] = -1;
             } else {
                 my $not_origin = 0;
                 ($current[$_] != 0 and $not_origin = 1)
                     for @current;
                 redo ITER unless $not_origin;
                 last;
             }
         }
         $done = 1 if $i >= scalar @current;
         return @res;
    }
}

my $iter = neighbourhood( shift || 3 );

while( my @iter = $iter->() ) {
    print "@iter\n";
}
[download]

---

Hmm, since everyone else appears to be returning values based on the origin, I guess I should do so too. It is a simple enough matter (and will be more so in Perl 6, when @res ^+= @origin is legal).

#! /usr/bin/perl -w

use strict;

sub neighbourhood {
    my @origin = @_;
    my $dim = scalar @origin;
    my @current = (-1) x $dim;

    my $done = 0;
    return sub {
         return if $done;
         my @res = @current;
         my $i;
         for ($i = 0; $i < scalar @current; ++$i) {
             $res[$i] += $origin[$i];
         }
         ITER: for ($i = 0; $i < scalar @current; ++$i) {
             if (++$current[$i] > 1 ) {
                 $current[$i] = -1;
             } else {
                 my $not_origin = 0;
                 ($current[$_] != 0 and $not_origin = 1)
                     for @current;
                 redo ITER unless $not_origin;
                 last;
             }
         }
         $done = 1 if $i >= scalar @current;
         return @res;
    }
}

@ARGV = (6, 2, -4) unless @ARGV;

my $iter = neighbourhood( @ARGV );
while( my @iter = $iter->() ) {
        print "@iter\n";
}
[download]

--

g r i n d e r
print@_{sort keys %_},$/if%_=split//,'= & *a?b:e\f/h^h!j+n,o@o;r$s-t%t#u';

---

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