diff options
Diffstat (limited to 'stdlib/source/lux/abstract/comonad.lux')
-rw-r--r-- | stdlib/source/lux/abstract/comonad.lux | 62 |
1 files changed, 62 insertions, 0 deletions
diff --git a/stdlib/source/lux/abstract/comonad.lux b/stdlib/source/lux/abstract/comonad.lux new file mode 100644 index 000000000..1d6ac49e5 --- /dev/null +++ b/stdlib/source/lux/abstract/comonad.lux @@ -0,0 +1,62 @@ +(.module: + [lux #* + [data + [collection + ["." list ("#;." fold)]]]] + [// + ["." functor (#+ Functor)]]) + +(signature: #export (CoMonad w) + {#.doc (doc "CoMonads are the opposite/complement to monads." + "CoMonadic structures are often infinite in size and built upon lazily-evaluated functions.")} + (: (Functor w) + &functor) + (: (All [a] + (-> (w a) a)) + unwrap) + (: (All [a] + (-> (w a) (w (w a)))) + split)) + +(type: #export (CoFree F a) + {#.doc "The CoFree CoMonad."} + [a (F (CoFree F a))]) + +(def: _cursor Cursor ["" 0 0]) + +(macro: #export (be tokens state) + {#.doc (doc "A co-monadic parallel to the 'do' macro." + (let [square (function (_ n) (i/* n n))] + (be comonad + [inputs (iterate inc +2)] + (square (head inputs)))))} + (case tokens + (#.Cons comonad (#.Cons [_ (#.Tuple bindings)] (#.Cons body #.Nil))) + (if (|> bindings list.size (n/% 2) (n/= 0)) + (let [g!_ (: Code [_cursor (#.Identifier ["" " _ "])]) + g!map (: Code [_cursor (#.Identifier ["" " map "])]) + g!split (: Code [_cursor (#.Identifier ["" " split "])]) + body' (list;fold (: (-> [Code Code] Code Code) + (function (_ binding body') + (let [[var value] binding] + (case var + [_ (#.Tag ["" "let"])] + (` (let (~ value) (~ body'))) + + _ + (` (|> (~ value) (~ g!split) ((~ g!map) (function ((~ g!_) (~ var)) (~ body'))))) + )))) + body + (list.reverse (list.as-pairs bindings)))] + (#.Right [state (#.Cons (` ({(~' @) + ({{#&functor {#functor.map (~ g!map)} + #unwrap (~' unwrap) + #split (~ g!split)} + (~ body')} + (~' @))} + (~ comonad))) + #.Nil)])) + (#.Left "'be' bindings must have an even number of parts.")) + + _ + (#.Left "Wrong syntax for 'be'"))) |