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(.module:
  [lux (#- function)
   [control
    ["." monad (#+ do)]
    pipe]
   [data
    ["." product]
    [text
     format]
    [collection
     ["." list ("list/." Functor<List>)]]]]
  [//
   ["." runtime (#+ Operation Phase)]
   ["." reference]
   ["/." //
    ["//." // ("operation/." Monad<Operation>)
     [analysis (#+ Variant Tuple Environment Arity Abstraction Application Analysis)]
     [synthesis (#+ Synthesis)]
     [//
      [reference (#+ Register Variable)]
      ["." name]
      [//
       [host
        ["_" scheme (#+ Expression Computation Var)]]]]]]])

(def: #export (apply translate [functionS argsS+])
  (-> Phase (Application Synthesis) (Operation Computation))
  (do ////.Monad<Operation>
    [functionO (translate functionS)
     argsO+ (monad.map @ translate argsS+)]
    (wrap (_.apply/* functionO argsO+))))

(def: (with-closure function-name inits function-definition)
  (-> Text (List Expression) Computation (Operation Computation))
  (let [@closure (_.var (format function-name "___CLOSURE"))]
    (operation/wrap
     (case inits
       #.Nil
       function-definition

       _
       (_.letrec (list [@closure
                        (_.lambda [(|> (list.enumerate inits)
                                  (list/map (|>> product.left reference.foreign')))
                              #.None]
                             function-definition)])
                 (_.apply/* @closure inits))))))

(def: @curried (_.var "curried"))
(def: @missing (_.var "missing"))

(def: input
  (|>> inc reference.local'))

(def: #export (function translate [environment arity bodyS])
  (-> Phase (Abstraction Synthesis) (Operation Computation))
  (do ////.Monad<Operation>
    [[function-name bodyO] (///.with-context
                             (do @
                               [function-name ///.context]
                               (///.with-anchor (_.var function-name)
                                 (translate bodyS))))
     closureO+ (monad.map @ reference.variable environment)
     #let [arityO (|> arity .int _.int)
           @num-args (_.var "num_args")
           @function (_.var function-name)
           apply-poly (.function (_ args func)
                        (_.apply/2 (_.global "apply") func args))]]
    (with-closure function-name closureO+
      (_.letrec (list [@function (_.lambda [(list) (#.Some @curried)]
                                      (_.let (list [@num-args (_.length/1 @curried)])
                                        (<| (_.if (|> @num-args (_.=/2 arityO))
                                              (<| (_.let (list [(reference.local' |0) @function]))
                                                  (_.let-values (list [[(|> (list.n/range |0 (dec arity))
                                                                            (list/map ..input))
                                                                        #.None]
                                                                       (_.apply/2 (_.global "apply") (_.global "values") @curried)]))
                                                  bodyO))
                                            (_.if (|> @num-args (_.>/2 arityO))
                                              (let [arity-args (runtime.slice (_.int 0) arityO @curried)
                                                    output-func-args (runtime.slice arityO
                                                                                    (|> @num-args (_.-/2 arityO))
                                                                                    @curried)]
                                                (|> @function
                                                    (apply-poly arity-args)
                                                    (apply-poly output-func-args))))
                                            ## (|> @num-args (_.</2 arityO))
                                            (_.lambda [(list) (#.Some @missing)]
                                                 (|> @function
                                                     (apply-poly (_.append/2 @curried @missing)))))))])
                @function))
    ))