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(.module:
  [library
   [lux {"-" [Type Label if let case]}
    [abstract
     ["." monad {"+" [do]}]]
    [control
     ["." function]
     ["ex" exception {"+" [exception:]}]]
    [data
     [collection
      ["." list ("#@." mix)]]]
    [math
     [number
      ["n" nat]]]
    [target
     [jvm
      ["." type {"+" [Type]}
       ["." category {"+" [Void Value Return Primitive Object Class Array Var Parameter Method]}]
       ["." descriptor {"+" [Descriptor]}]
       ["." signature {"+" [Signature]}]]]]
    [tool
     [compiler
      ["." phase ("operation@." monad)]
      [meta
       [archive {"+" [Archive]}]]
      [language
       [lux
        ["." synthesis {"+" [Path Synthesis]}]]]]]]]
  [luxc
   [lang
    [host
     ["$" jvm {"+" [Label Inst Operation Phase Generator]}
      ["_" inst]]]]]
  ["." //
   ["." runtime]
   ["." structure]])

(def: (pop_altI stack_depth)
  (-> Nat Inst)
  (.case stack_depth
    0 function.identity
    1 _.POP
    2 _.POP2
    _ ... (n.> 2)
    (|>> _.POP2
         (pop_altI (n.- 2 stack_depth)))))

(def: peekI
  Inst
  (|>> _.DUP
       (_.int +0)
       _.AALOAD))

(def: pushI
  Inst
  (_.INVOKESTATIC //.$Runtime "pm_push" (type.method [(list) (list runtime.$Stack //.$Value) runtime.$Stack (list)])))

(def: popI
  (|>> (_.int +1)
       _.AALOAD
       (_.CHECKCAST runtime.$Stack)))

(def: (leftsI value)
  (-> Nat Inst)
  (.case value
    0 _.ICONST_0
    1 _.ICONST_1
    2 _.ICONST_2
    3 _.ICONST_3
    4 _.ICONST_4
    5 _.ICONST_5
    _ (_.int (.int value))))

(def: projectionJT
  (type.method [(list) (list //.$Tuple runtime.$Index) //.$Value (list)]))

(def: (left_projection lefts)
  (-> Nat Inst)
  (.let [[indexI accessI] (.case lefts
                            0
                            [_.ICONST_0
                             _.AALOAD]
                            
                            lefts
                            [(leftsI lefts)
                             (_.INVOKESTATIC //.$Runtime "tuple_left" ..projectionJT)])]
    (|>> (_.CHECKCAST //.$Tuple)
         indexI
         accessI)))

(def: (right_projection lefts)
  (-> Nat Inst)
  (|>> (_.CHECKCAST //.$Tuple)
       (leftsI lefts)
       (_.INVOKESTATIC //.$Runtime "tuple_right" ..projectionJT)))

(def: equalsJT
  (type.method [(list) (list //.$Value) type.boolean (list)]))

(def: sideJT
  (type.method [(list) (list //.$Variant runtime.$Tag runtime.$Flag) runtime.$Value (list)]))

(def: (path' stack_depth @else @end phase archive path)
  (-> Nat Label Label Phase Archive Path (Operation Inst))
  (.case path
    #synthesis.Pop
    (operation@in ..popI)
    
    (#synthesis.Bind register)
    (operation@in (|>> peekI
                       (_.ASTORE register)))

    (#synthesis.Bit_Fork when thenP elseP)
    (do phase.monad
      [thenG (path' stack_depth @else @end phase archive thenP)
       elseG (.case elseP
               (#.Some elseP)
               (path' stack_depth @else @end phase archive elseP)

               #.None
               (in (_.GOTO @else)))
       .let [ifI (.if when _.IFEQ _.IFNE)]]
      (in (<| _.with_label (function (_ @else))
              (|>> peekI
                   (_.unwrap type.boolean)
                   (ifI @else)
                   thenG
                   (_.label @else)
                   elseG))))

    (^template [<tag> <unwrap> <dup> <pop> <test> <comparison> <if>]
      [(<tag> cons)
       (do {@ phase.monad}
         [forkG (: (Operation Inst)
                   (monad.mix @ (function (_ [test thenP] elseG)
                                  (do @
                                    [thenG (path' stack_depth @else @end phase archive thenP)]
                                    (in (<| _.with_label (function (_ @else))
                                            (|>> <dup>
                                                 (<test> test)
                                                 <comparison>
                                                 (<if> @else)
                                                 <pop>
                                                 thenG
                                                 (_.label @else)
                                                 elseG)))))
                              (|>> <pop>
                                   (_.GOTO @else))
                              (#.Item cons)))]
         (in (|>> peekI
                  <unwrap>
                  forkG)))])
    ([#synthesis.I64_Fork (_.unwrap type.long) _.DUP2 _.POP2 (|>> .int _.long) _.LCMP _.IFNE]
     [#synthesis.F64_Fork (_.unwrap type.double) _.DUP2 _.POP2 _.double _.DCMPL _.IFNE]
     [#synthesis.Text_Fork (|>) _.DUP _.POP _.string
      (_.INVOKEVIRTUAL (type.class "java.lang.Object" (list)) "equals" ..equalsJT)
      _.IFEQ])
    
    (#synthesis.Then bodyS)
    (do phase.monad
      [bodyI (phase archive bodyS)]
      (in (|>> (pop_altI stack_depth)
               bodyI
               (_.GOTO @end))))
    
    (^template [<pattern> <right?>]
      [(^ (<pattern> lefts))
       (operation@in (<| _.with_label (function (_ @success))
                         _.with_label (function (_ @fail))
                         (|>> peekI
                              (_.CHECKCAST //.$Variant)
                              (structure.tagI lefts <right?>)
                              (structure.flagI <right?>)
                              (_.INVOKESTATIC //.$Runtime "pm_variant" ..sideJT)
                              _.DUP
                              (_.IFNULL @fail)
                              (_.GOTO @success)
                              (_.label @fail)
                              _.POP
                              (_.GOTO @else)
                              (_.label @success)
                              pushI)))])
    ([synthesis.side/left  false]
     [synthesis.side/right true])

    ... Extra optimization
    (^template [<path> <projection>]
      [(^ (<path> lefts))
       (operation@in (|>> peekI
                          (<projection> lefts)
                          pushI))
       
       (^ (synthesis.path/seq
           (<path> lefts)
           (synthesis.!bind_top register thenP)))
       (do phase.monad
         [then! (path' stack_depth @else @end phase archive thenP)]
         (in (|>> peekI
                  (<projection> lefts)
                  (_.ASTORE register)
                  then!)))])
    ([synthesis.member/left  ..left_projection]
     [synthesis.member/right ..right_projection])

    (#synthesis.Seq leftP rightP)
    (do phase.monad
      [leftI (path' stack_depth @else @end phase archive leftP)
       rightI (path' stack_depth @else @end phase archive rightP)]
      (in (|>> leftI
               rightI)))

    (#synthesis.Alt leftP rightP)
    (do phase.monad
      [@alt_else _.make_label
       leftI (path' (++ stack_depth) @alt_else @end phase archive leftP)
       rightI (path' stack_depth @else @end phase archive rightP)]
      (in (|>> _.DUP
               leftI
               (_.label @alt_else)
               _.POP
               rightI)))
    ))

(def: failJT
  (type.method [(list) (list) type.void (list)]))

(def: (path @end phase archive path)
  (-> Label Phase Archive Path (Operation Inst))
  (do phase.monad
    [@else _.make_label
     pathI (..path' 1 @else @end phase archive path)]
    (in (|>> pathI
             (_.label @else)
             _.POP
             (_.INVOKESTATIC //.$Runtime "pm_fail" ..failJT)
             _.NULL
             (_.GOTO @end)))))

(def: .public (if phase archive [testS thenS elseS])
  (Generator [Synthesis Synthesis Synthesis])
  (do phase.monad
    [testI (phase archive testS)
     thenI (phase archive thenS)
     elseI (phase archive elseS)]
    (in (<| _.with_label (function (_ @else))
            _.with_label (function (_ @end))
            (|>> testI
                 (_.unwrap type.boolean)
                 (_.IFEQ @else)
                 thenI
                 (_.GOTO @end)
                 (_.label @else)
                 elseI
                 (_.label @end))))))

(def: .public (let phase archive [inputS register exprS])
  (Generator [Synthesis Nat Synthesis])
  (do phase.monad
    [inputI (phase archive inputS)
     exprI (phase archive exprS)]
    (in (|>> inputI
             (_.ASTORE register)
             exprI))))

(def: .public (get phase archive [path recordS])
  (Generator [(List synthesis.Member) Synthesis])
  (do phase.monad
    [recordG (phase archive recordS)]
    (in (list@mix (function (_ step so_far)
                    (.let [next (.case step
                                  (#.Left lefts)
                                  (..left_projection lefts)
                                  
                                  (#.Right lefts)
                                  (..right_projection lefts))]
                      (|>> so_far next)))
                  recordG
                  (list.reversed path)))))

(def: .public (case phase archive [valueS path])
  (Generator [Synthesis Path])
  (do phase.monad
    [@end _.make_label
     valueI (phase archive valueS)
     pathI (..path @end phase archive path)]
    (in (|>> _.NULL
             valueI
             pushI
             pathI
             (_.label @end)))))