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# Desugaring of array comprehensions

Wadler's desugaring for list comprehensions is not suitable for arrays, as we need to use collective operations to get good parallel code. The build/foldr desugaring, although using collective operations, isn't a good match for how the array operations are implemented. In fact, the *naive* desugaring from the H98 report is a much better fit:

(1) [: e | :] = [:e:] (2) [: e | b, qs :] = if b then [: e | qs :] else [::] (3) [: e | p <- a, qs :] = let ok p = [: e | qs :] ok _ = [::] in concatMapP ok a (4) [: e | let ds, qs :] = let ds in [: e | qs :] (5) [: e | qs | qss :] = (6) [: e | (XS, XSS) <- zip [: XS | qs :] [: XSS | qss :] :] where XS & XSS are the bound variables in qs & qss

In particular, `concatMapP f a`

essentially implies to apply the lifted version of `f`

directly to `a`

and then the concat strips of one level of segment descriptors; i.e., both the `concatP`

and the `mapP`

vanish due to vectorisation.

## Problem with the naive rules

Nevertheless, these rules are not entirely satisfactory. For example, `[:e | x <- a, b:]`

turns into

concatMap (\x -> if b then [:e:] else [::]) a

which is a fairly complicated way to perform

mapP (\x -> e) . filterP (\x -> b) $ a

even when taking vectorisation into account. Under vectorisation, the conditional implies `filterP (\x -> b)`

, but adds an expensive, and here useless, merge operation. Maybe these overheads can be optimised away. However, for the moment, we use a desugaring that is based on the above rules, but generates code that should be better suited to array processing.