From: "Paul A." <cyril.staff@...>
Date: 2011-05-09T07:14:44+09:00
Subject: Index to coordinates conversion, according the matrix shape

Hello,

I would like to converte an index (of a flatten array) to a
multi-dimensions coordinates (of the multi-dimensions version of the
previous flatten array).

Example:

Considering the following 2 dimensions array (3x3):

    [ [ -, -, - ],
      [ *, -, - ],
      [ -, -, - ] ]

We can see that, the coordinates of the checked case is [0, 1].

Now, if we flat this array, it looks like:

    [ -, -, -, *, -, -, -, -, - ]

Here, we can see the coordinate (or the index) of the checked case is 3.

But how can we do the opposite? I mean, a method looking like:

    index_to_coordinates([3, 3], 3) # => [0, 1]

Thanks!

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