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(.module:
[lux #- nat int deg]
(lux [function]
(data (coll [list "list/" Fold<List>])))
[//reference #+ Register Variable Reference])
(type: #export #rec Primitive
#Unit
(#Bool Bool)
(#Nat Nat)
(#Int Int)
(#Deg Deg)
(#Frac Frac)
(#Text Text))
(type: #export Tag Nat)
(type: #export (Composite a)
(#Sum (Either a a))
(#Product [a a]))
(type: #export #rec Pattern
(#Simple Primitive)
(#Complex (Composite Pattern))
(#Bind Register))
(type: #export (Branch' e)
{#when Pattern
#then e})
(type: #export (Match' e)
[(Branch' e) (List (Branch' e))])
(type: #export Environment
(List Variable))
(type: #export (Special e)
{#extension Text
#parameters (List e)})
(type: #export #rec Analysis
(#Primitive Primitive)
(#Structure (Composite Analysis))
(#Reference Reference)
(#Case Analysis (Match' Analysis))
(#Function Environment Analysis)
(#Apply Analysis Analysis)
(#Special (Special Analysis)))
(type: #export Branch
(Branch' Analysis))
(type: #export Match
(Match' Analysis))
(do-template [<name> <tag>]
[(template: #export (<name> content)
(<tag> content))]
[control/case #Case]
)
(do-template [<name> <type> <tag>]
[(def: #export <name>
(-> <type> Analysis)
(|>> <tag> #Primitive))]
[bool Bool #Bool]
[nat Nat #Nat]
[int Int #Int]
[deg Deg #Deg]
[frac Frac #Frac]
[text Text #Text]
)
(type: #export (Variant a)
{#lefts Nat
#right? Bool
#value a})
(type: #export (Tuple a) (List a))
(type: #export Application [Analysis (List Analysis)])
(def: (last? size tag)
(-> Nat Tag Bool)
(n/= (dec size) tag))
(template: #export (no-op value)
(|> +1 #//reference.Local #//reference.Variable #..Reference
(#..Function (list))
(#..Apply value)))
(do-template [<name> <type> <structure> <prep-value>]
[(def: #export (<name> size tag value)
(-> Nat Tag <type> <type>)
(let [left (function.constant (|>> #.Left #Sum <structure>))
right (|>> #.Right #Sum <structure>)]
(if (last? size tag)
(if (n/= +1 tag)
(right value)
(list/fold left
(right value)
(list.n/range +0 (n/- +2 tag))))
(list/fold left
(case value
(<structure> (#Sum _))
(<prep-value> value)
_
value)
(list.n/range +0 tag)))))]
[sum-analysis Analysis #Structure no-op]
[sum-pattern Pattern #Complex id]
)
(do-template [<name> <type> <primitive> <structure>]
[(def: #export (<name> members)
(-> (Tuple <type>) <type>)
(case (list.reverse members)
#.Nil
(<primitive> #Unit)
(#.Cons singleton #.Nil)
singleton
(#.Cons last prevs)
(list/fold (function (_ left right) (<structure> (#Product left right)))
last prevs)))]
[product-analysis Analysis #Primitive #Structure]
[product-pattern Pattern #Simple #Complex]
)
(def: #export (apply [func args])
(-> Application Analysis)
(list/fold (function (_ arg func) (#Apply arg func)) func args))
(type: #export Analyser
(-> Code (Meta Analysis)))
(do-template [<name> <type> <tag>]
[(def: #export (<name> value)
(-> <type> (Tuple <type>))
(case value
(<tag> (#Product left right))
(#.Cons left (<name> right))
_
(list value)))]
[tuple Analysis #Structure]
[tuple-pattern Pattern #Complex]
)
(do-template [<name> <type> <tag>]
[(def: #export (<name> value)
(-> <type> (Maybe (Variant <type>)))
(loop [lefts +0
variantA value]
(case variantA
(<tag> (#Sum (#.Left valueA)))
(case valueA
(<tag> (#Sum _))
(recur (inc lefts) valueA)
_
(#.Some {#lefts lefts
#right? false
#value valueA}))
(<tag> (#Sum (#.Right valueA)))
(#.Some {#lefts lefts
#right? true
#value valueA})
_
#.None)))]
[variant Analysis #Structure]
[variant-pattern Pattern #Complex]
)
(def: #export (application analysis)
(-> Analysis Application)
(case analysis
(#Apply head func)
(let [[func' tail] (application func)]
[func' (#.Cons head tail)])
_
[analysis (list)]))
(template: #export (pattern/unit)
(#..Simple #..Unit))
(do-template [<name> <tag>]
[(template: #export (<name> content)
(#..Simple (<tag> content)))]
[pattern/bool #..Bool]
[pattern/nat #..Nat]
[pattern/int #..Int]
[pattern/deg #..Deg]
[pattern/frac #..Frac]
[pattern/text #..Text]
)
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