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(;module:
  lux
  (lux (control ["p" parser])
       (data [maybe]
             ["e" error]
             [number]
             [product]
             text/format
             (coll [list "list/" Functor<List> Fold<List> Monoid<List>]
                   [dict #+ Dict]))
       (macro [code]
              ["s" syntax]))
  (luxc (lang ["la" analysis]
              ["ls" synthesis]
              (synthesis [";S" case]
                         [";S" function]
                         [";S" loop])
              [";L" variable #+ Variable])
        ))

(def: init-env (List Variable) (list))
(def: init-resolver (Dict Int Int) (dict;new number;Hash<Int>))

(def: (prepare-body inner-arity arity body)
  (-> ls;Arity ls;Arity ls;Synthesis ls;Synthesis)
  (if (functionS;nested? inner-arity)
    body
    (loopS;reify-recursion arity body)))

(def: (let$ register inputS bodyS)
  (-> Nat ls;Synthesis ls;Synthesis ls;Synthesis)
  (` ("lux let" (~ (code;nat register)) (~ inputS) (~ bodyS))))

(def: (if$ testS thenS elseS)
  (-> ls;Synthesis ls;Synthesis ls;Synthesis ls;Synthesis)
  (` ("lux if" (~ testS)
      (~ thenS)
      (~ elseS))))

(def: (function$ arity environment body)
  (-> ls;Arity (List Variable) ls;Synthesis ls;Synthesis)
  (` ("lux function" (~ (code;nat arity))
      [(~@ (list/map code;int environment))]
      (~ body))))

(def: (variant$ tag last? valueS)
  (-> Nat Bool ls;Synthesis ls;Synthesis)
  (` ((~ (code;nat tag)) (~ (code;bool last?)) (~ valueS))))

(def: (var$ var)
  (-> Variable ls;Synthesis)
  (` ((~ (code;int var)))))

(def: (procedure$ name argsS)
  (-> Text (List ls;Synthesis) ls;Synthesis)
  (` ((~ (code;text name)) (~@ argsS))))

(def: (call$ funcS argsS)
  (-> ls;Synthesis (List ls;Synthesis) ls;Synthesis)
  (` ("lux call" (~ funcS) (~@ argsS))))

(def: (synthesize-case arity num-locals synthesize inputA branchesA)
  (-> ls;Arity Nat (-> Nat la;Analysis ls;Synthesis)
      la;Analysis (List [la;Pattern la;Analysis])
      ls;Synthesis)
  (let [inputS (synthesize num-locals inputA)]
    (case (list;reverse branchesA)
      (^multi (^ (list [(^code ("lux case bind" (~ [_ (#;Nat input-register)])))
                        (^code ((~ [_ (#;Int var)])))]))
              (not (variableL;captured? var))
              (n.= input-register (variableL;local-register var)))
      inputS

      (^ (list [(^code ("lux case bind" (~ [_ (#;Nat register)]))) bodyA]))
      (let$ (if (functionS;nested? arity)
              (n.+ (n.dec arity) register)
              register)
            inputS
            (synthesize (n.inc num-locals) bodyA))
      
      (^or (^ (list [(^code true) thenA] [(^code false) elseA]))
           (^ (list [(^code false) elseA] [(^code true) thenA])))
      (if$ inputS (synthesize num-locals thenA) (synthesize num-locals elseA))

      (#;Cons [lastP lastA] prevsPA)
      (let [transform-branch (: (-> la;Pattern la;Analysis ls;Path)
                                (caseS;path arity num-locals synthesize))
            pathS (list/fold caseS;weave
                             (transform-branch lastP lastA)
                             (list/map (product;uncurry transform-branch) prevsPA))]
        (` ("lux case" (~ inputS) (~ pathS))))

      _
      (undefined)
      )))

(def: (synthesize-apply synthesize num-locals exprA)
  (-> (-> la;Analysis ls;Synthesis) Nat la;Analysis ls;Synthesis)
  (let [[funcA argsA] (functionS;unfold-apply exprA)
        funcS (synthesize funcA)
        argsS (list/map synthesize argsA)]
    (case funcS
      (^multi (^code ("lux function" (~ [_ (#;Nat _arity)]) [(~@ _env)] (~ _bodyS)))
              (and (n.= _arity (list;size argsS))
                   (not (loopS;contains-self-reference? _bodyS)))
              [(s;run _env (p;some s;int)) (#e;Success _env)])
      (` ("lux loop" (~ (code;nat (n.inc num-locals))) [(~@ argsS)]
          (~ (loopS;adjust _env num-locals _bodyS))))

      (^code ("lux call" (~ funcS') (~@ argsS')))
      (call$ funcS' (list/compose argsS' argsS))

      _
      (call$ funcS argsS))))

(def: #export (synthesize expressionA)
  (-> la;Analysis ls;Synthesis)
  (loop [arity +0
         resolver init-resolver
         direct? false
         num-locals +0
         expressionA expressionA]
    (case expressionA
      (^code [(~ _left) (~ _right)])
      (` [(~@ (list/map (recur arity resolver false num-locals)
                        (la;unfold-tuple expressionA)))])

      (^or (^code ("lux sum left" (~ _)))
           (^code ("lux sum right" (~ _))))
      (let [[tag last? value] (maybe;assume (la;unfold-variant expressionA))]
        (variant$ tag last? (recur arity resolver false num-locals value)))

      (^code ((~ [_ (#;Int var)])))
      (if (variableL;local? var)
        (if (functionS;nested? arity)
          (if (variableL;self? var)
            (call$ (var$ 0) (|> (list;n.range +1 (n.dec arity))
                                (list/map (|>. variableL;local code;int (~) () (`)))))
            (var$ (functionS;adjust-var arity var)))
          (var$ var))
        (var$ (maybe;default var (dict;get var resolver))))

      (^code ("lux case" (~ inputA) (~ [_ (#;Record branchesA)])))
      (synthesize-case arity num-locals (recur arity resolver false) inputA branchesA)

      (^multi (^code ("lux function" [(~@ scope)] (~ bodyA)))
              [(s;run scope (p;some s;int)) (#e;Success raw-env)])
      (let [function-arity (if direct?
                             (n.inc arity)
                             +1)
            env (list/map (function [closure]
                            (case (dict;get closure resolver)
                              (#;Some resolved)
                              (if (and (variableL;local? resolved)
                                       (functionS;nested? arity)
                                       (|> resolved variableL;local-register (n.>= arity)))
                                (functionS;adjust-var arity resolved)
                                resolved)

                              #;None
                              (if (and (variableL;local? closure)
                                       (functionS;nested? arity))
                                (functionS;adjust-var arity closure)
                                closure)))
                          raw-env)
            env-vars (: (List Variable)
                        (case raw-env
                          #;Nil (list)
                          _ (|> (list;size raw-env) n.dec (list;n.range +0) (list/map variableL;captured))))
            resolver' (if (and (functionS;nested? function-arity)
                               direct?)
                        (list/fold (function [[from to] resolver']
                                     (dict;put from to resolver'))
                                   init-resolver
                                   (list;zip2 env-vars env))
                        (list/fold (function [var resolver']
                                     (dict;put var var resolver'))
                                   init-resolver
                                   env-vars))]
        (case (recur function-arity resolver' true function-arity bodyA)
          (^ [_ (#;Form (list [_ (#;Text "lux function")] [_ (#;Nat unmerged-arity)] env' bodyS'))])
          (let [merged-arity (n.inc unmerged-arity)]
            (function$ merged-arity env
                       (prepare-body function-arity merged-arity bodyS')))

          bodyS
          (function$ +1 env (prepare-body function-arity +1 bodyS))))

      (^code ("lux apply" (~@ _)))
      (synthesize-apply (recur arity resolver false num-locals) num-locals expressionA)

      (^code ((~ [_ (#;Text name)]) (~@ args)))
      (procedure$ name (list/map (recur arity resolver false num-locals) args))

      _
      expressionA)))