Hi,

Thinking about nothing, specifically about the empty scalar or empty 0-cell.

Erling H. -  " I experience an inconsistency in this model in the sense
that an array of rank greater than zero can be empty, a 0-cell can not."

The internal structure of a J array could support a rank 0 empty object.
However, short of poking into memory, there does not seem to be a way of
generating an empty scalar.

​┌───────┬─┬───────┬─┬─┬─────┬───┐
│data   │ │type   │n│r│shape│val│
├───────┼─┼───────┼─┼─┼─────┼───┤
│8      │ │integer│1│0│     │8  │
├───────┼─┼───────┼─┼─┼─────┼───┤
│8 9    │ │integer│2│1│2    │8 9│
├───────┼─┼───────┼─┼─┼─────┼───┤
│''     │ │literal│0│1│0    │   │
├───────┼─┼───────┼─┼─┼─────┼───┤
│0$0    │ │boolean│0│1│0    │   │
├───────┼─┼───────┼─┼─┼─────┼───┤
│0$8    │ │integer│0│1│0    │   │
├───────┼─┼───────┼─┼─┼─────┼───┤
│0 0 0$8│ │integer│0│3│0 0 0│   │
├───────┼─┼───────┼─┼─┼─────┼───┤
│(0$0)$8│ │integer│1│0│     │8  │
└───────┴─┴───────┴─┴─┴─────┴───┘
 n = number of values
 r = rank

NB. Trying to get n=0 and r=0

   (0$0) $ (0$0)
|length error
|   (0$0)    $(0$0)
   (0$0) $ ''
|length error
|   (0$0)    $''


​


On Tue, Dec 19, 2017 at 4:28 AM, Erling Hellenäs <[email protected]>
wrote:

> Hi all !
>
> In APL we had the same array model as in Fortran. An array was an array
> and you indexed it like in most other languages, except that you could use
> an array as index and therefore could get very varying results. The only
> problems I personally experienced with this model was that you could not
> put all the indexes in one variable. I also wanted to have the index to the
> left. To keep the right-to-left normal flow of the language. I wrote
> special indexing functions to handle this, but never used them in
> production.
>
> In J we have the n-cell array model. A difference is that a scalar is just
> another array, it just is imagined as having zero dimensions. I APL there
> were scalars and there were arrays, basically two different data
> structures. I experience an inconsistency in this model in the sense that
> an array of rank greater than zero can be empty, a 0-cell can not. At least
> in the interpreter I wrote, there is a lot of special handling of 0-cells
> because they actually have content, although there are no array dimensions
> which could reasonably contain any such content.
>
> In the dyadic rank operator a k-cell without any zero dimension can be
> empty because a containing array is. This causes the very particular
> special handling I mentioned in the thread "[Jprogramming] i. (2 2 $ 1 2 3
> 4)"
>
> Simplicity is important for performance, it is important for our ability
> to predict the behaviour of the code without testing it in the terminal and
> to limit the number of test cases needed to verify the functonality of a
> program.
>
> Is there any documentation of the design decision to select the n-cell
> array model?
>
> Are there any threads in the forum where this array model is discussed?
>
> Maybe someone also wants to share their knowledge from internal
> discussions about this design decision.
>
> Cheers,
>
> Erling Hellenäs
>
> ----------------------------------------------------------------------
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