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(.module:
  lux
  (lux (control [monad #+ do Monad]
                ["eq" equality]
                ["p" parser])
       (data [text "text/" Monoid<Text>]
             text/format
             (coll [list "list/" Monad<List>]
                   [row]
                   [array]
                   [queue]
                   (set ["set" unordered])
                   (dictionary ["dict" unordered #+ Dict])
                   (tree [rose]))
             [number "nat/" Codec<Text,Nat>]
             [product]
             [bool]
             [maybe])
       (time ["du" duration]
             ["da" date]
             ["i" instant])
       [macro]
       (macro [code]
              [syntax #+ syntax: Syntax]
              (syntax [common])
              [poly #+ poly:])
       (type [unit])
       (lang [type])
       ))

## [Derivers]
(poly: #export Eq<?>
  (`` (do @
        [#let [g!_ (code.local-symbol "_____________")]
         *env* poly.env
         inputT poly.peek
         #let [@Eq (: (-> Type Code)
                      (function (_ type)
                        (` (eq.Eq (~ (poly.to-code *env* type))))))]]
        ($_ p.either
            ## Basic types
            (~~ (do-template [<matcher> <eq>]
                  [(do @
                     [_ <matcher>]
                     (wrap (` (: (~ (@Eq inputT))
                                 <eq>))))]

                  [(poly.this Any) (function ((~ g!_) (~ g!_) (~ g!_)) true)]
                  [(poly.like Bool) bool.Eq<Bool>]
                  [(poly.like Nat)  number.Eq<Nat>]
                  [(poly.like Int)  number.Eq<Int>]
                  [(poly.like Deg)  number.Eq<Deg>]
                  [(poly.like Frac) number.Eq<Frac>]
                  [(poly.like Text) text.Eq<Text>]))
            ## Composite types
            (~~ (do-template [<name> <eq>]
                  [(do @
                     [[_ argC] (poly.apply (p.seq (poly.this <name>)
                                                  Eq<?>))]
                     (wrap (` (: (~ (@Eq inputT))
                                 (<eq> (~ argC))))))]

                  [.Maybe            maybe.Eq<Maybe>]
                  [.List             list.Eq<List>]
                  [row.Row row.Eq<Row>]
                  [.Array            array.Eq<Array>]
                  [queue.Queue       queue.Eq<Queue>]
                  [set.Set           set.Eq<Set>]
                  [rose.Tree         rose.Eq<Tree>]
                  ))
            (do @
              [[_ _ valC] (poly.apply ($_ p.seq
                                          (poly.this dict.Dict)
                                          poly.any
                                          Eq<?>))]
              (wrap (` (: (~ (@Eq inputT))
                          (dict.Eq<Dict> (~ valC))))))
            ## Models
            (~~ (do-template [<type> <eq>]
                  [(do @
                     [_ (poly.this <type>)]
                     (wrap (` (: (~ (@Eq inputT))
                                 <eq>))))]

                  [du.Duration du.Eq<Duration>]
                  [i.Instant   i.Eq<Instant>]
                  [da.Date     da.Eq<Date>]
                  [da.Day      da.Eq<Day>]
                  [da.Month    da.Eq<Month>]))
            (do @
              [_ (poly.apply (p.seq (poly.this unit.Qty)
                                    poly.any))]
              (wrap (` (: (~ (@Eq inputT))
                          unit.Eq<Qty>))))
            ## Variants
            (do @
              [members (poly.variant (p.many Eq<?>))
               #let [g!_ (code.local-symbol "_____________")
                     g!left (code.local-symbol "_____________left")
                     g!right (code.local-symbol "_____________right")]]
              (wrap (` (: (~ (@Eq inputT))
                          (function ((~ g!_) (~ g!left) (~ g!right))
                            (case [(~ g!left) (~ g!right)]
                              (~+ (list/join (list/map (function (_ [tag g!eq])
                                                         (list (` [((~ (code.nat tag)) (~ g!left))
                                                                   ((~ (code.nat tag)) (~ g!right))])
                                                               (` ((~ g!eq) (~ g!left) (~ g!right)))))
                                                       (list.enumerate members))))
                              (~ g!_)
                              false))))))
            ## Tuples
            (do @
              [g!eqs (poly.tuple (p.many Eq<?>))
               #let [g!_ (code.local-symbol "_____________")
                     indices (|> (list.size g!eqs) dec (list.n/range +0))
                     g!lefts (list/map (|>> nat/encode (text/compose "left") code.local-symbol) indices)
                     g!rights (list/map (|>> nat/encode (text/compose "right") code.local-symbol) indices)]]
              (wrap (` (: (~ (@Eq inputT))
                          (function ((~ g!_) [(~+ g!lefts)] [(~+ g!rights)])
                            (and (~+ (|> (list.zip3 g!eqs g!lefts g!rights)
                                         (list/map (function (_ [g!eq g!left g!right])
                                                     (` ((~ g!eq) (~ g!left) (~ g!right)))))))))))))
            ## Type recursion
            (do @
              [[g!self bodyC] (poly.recursive Eq<?>)
               #let [g!_ (code.local-symbol "_____________")]]
              (wrap (` (: (~ (@Eq inputT))
                          (eq.rec (.function ((~ g!_) (~ g!self))
                                    (~ bodyC)))))))
            poly.recursive-self
            ## Type applications
            (do @
              [[funcC argsC] (poly.apply (p.seq Eq<?> (p.many Eq<?>)))]
              (wrap (` ((~ funcC) (~+ argsC)))))
            ## Bound type-vars
            poly.bound
            ## Polymorphism
            (do @
              [[funcC varsC bodyC] (poly.polymorphic Eq<?>)]
              (wrap (` (: (All [(~+ varsC)]
                            (-> (~+ (list/map (|>> (~) eq.Eq (`)) varsC))
                                (eq.Eq ((~ (poly.to-code *env* inputT)) (~+ varsC)))))
                          (function ((~ funcC) (~+ varsC))
                            (~ bodyC))))))
            poly.recursive-call
            ## If all else fails...
            (|> poly.any
                (:: @ map (|>> %type (format "Cannot create Eq for: ") p.fail))
                (:: @ join))
            ))))