On Monday, 25 May 2015 at 20:49:16 UTC, Dennis Ritchie wrote:
That recursive n-dimensional array, but I think that recursion will not be effective.
http://forum.dlang.org/thread/ulhtlyxxclihaseef...@forum.dlang.org#post-mihl6m:241che:241:40digitalmars.com

I don't mean nested arrays, I mean an equivalent recursive definition for the sake of exposing a "natural" traversal strategy, which you get if your object admits the notion of a pointed element and of proper disjoint subobjects. For example:

T[0..$] = {T[0], T[1..$]}

T[0..$, 0..$]
  = {T[0, 0..$], T[1..$, 0..$]}
  = {{T[0, 0], T[0, 1..$]}, T[1..$, 0..$]}

And so on. The second definition is just lexicographic traversal expressed in recursive language.

If there were a way to write an adaptor to deduce such a recursive definition and then present it as an input range, you could have a uniform syntax for iterating over differently-shaped data structures.

The problem that I run into is presenting this as an input range for foreach. "front" obviously refers to the pointed element, but "popFront" typically returns void, not a smaller instance of the object - which means things like trees and multidim arrays need to eschew "front/popFront/empty" in favor of something like "head/tails[]" (with tails[].empty == true being the termination condition), but this isn't a viable solution for foreach loops.

I'm writing this in a bit of a hurry so I might be missing something essential but this is more or less the conclusion that I've reached after spending the last few months thinking about the problem. Fresh ideas are very welcome.

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