Peter Eisentraut wrote:
> It was pointed out to me today that a zero-dimensional
> matrix is a scalar. This makes a bit of sense, if you say
> that
>
> '{{56}}' is of type int[][], 2 dimensions
> '{56}' is of type int[], 1 dimension
> '56' is of type int, 0 dimensions
>
> Notice that the number of brace pairs in the literal
> matches the number of bracket pairs in the type
> declaration.
>
> By that logic, '{}' has one dimension. I think this also
> works best in practice, for example with array
> concatenation.
When I think about this, I think that '{x}' has dimension 1 greater
than 'x'. So '{x}' may be a 2-D array, if 'x' is a 1-D array. But
it is always the case that dim('{x}')>= 1.
It seems logical therefore to treat '{}' as an empty array of
something (possibly other arrays), but its precise meaning is
undefined until you actually coerce it into a specific type. Thus
you could have:
'{}'::int - illegal
'{}'::int[] - empty array of integers
'{}'::int[][] - empty 2-D array of integers
However, I would say that '{{}}' isn't an empty array, since the outer
array has 1 element ('{}'). So this leads to:
'{{}}'::int - illegal
'{{}}'::int[] - illegal
'{{}}'::int[][] - non-empty array containing an empty array of integers (ie. a 1x0 matrix)
'{{},{}}'::int[][] - non-empty array containing 2 empty arrays of integers (ie. a 2x0 matrix)
I don't know if Nx0 matrices actually have any use, but that's where
the logic takes me.
Dean
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