I hope you like this one, as it is my ever-first attempt at a golf.

The challenge is to create a 2D-array that contains indici of all sectors in a multi-dimensional space. The indici are given as unitary vectors in that space.

Eg., in a flat plane (2D), there are four sectors, so we have 4 vectors: 

  -1   -1
  -1    1
   1   -1
   1    1

[download]
that point each to a quadrant: 
          |
 (-1, 1)  |  ( 1, 1)
          |
 -------------------
          |
 (-1,-1)  |  ( 1,-1)
          |

[download]
This of course comes handy when you want mirror some image or curve.

The constraints are: (i) strict compliant, (ii) return a reference to an 2D-array and (iii) only the code inside the sub is counted (believe the last is standard, isn't it?). Furthermore: the vectors must be unitary vectors in the inner dimension. The function takes as input a scalar holding the number of dimensions disired.

Here is a starting point at 79 chars: 

sub iterate_dim{
[map[map$_*2-1,split"",$_],map{substr unpack("B*",chr$_-1),-$_[0]}1..2
+**$_[0]]
}

#and call it:
my $AoA = iterate_dim( 2 );

[download]

Have fun,

Jeroen
"We are not alone"(FZ)

In reply to Golf: Indici to all sectors of an xD space by jeroenes

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