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(.module:
[library
[lux (#- type)
[abstract
[predicate (#+ Predicate)]]
[control
[parser
["<.>" code]]]
["." macro
[syntax (#+ syntax:)]]
["." type
abstract]]])
(abstract: .public (Refined t %)
{}
(Record
[#value t
#predicate (Predicate t)])
(type: .public (Refiner t %)
(-> t (Maybe (Refined t %))))
(def: .public (refiner predicate)
(All (_ t)
(Ex (_ %)
(-> (Predicate t) (Refiner t %))))
(function (_ value)
(if (predicate value)
(#.Some (:abstraction [#value value
#predicate predicate]))
#.None)))
(template [<name> <output> <slot>]
[(def: .public <name>
(All (_ t %) (-> (Refined t %) <output>))
(|>> :representation (value@ <slot>)))]
[value t #value]
[predicate (Predicate t) #predicate]
)
(def: .public (lifted transform)
(All (_ t %)
(-> (-> t t)
(-> (Refined t %) (Maybe (Refined t %)))))
(function (_ refined)
(let [(^slots [#value #predicate]) (:representation refined)
value' (transform value)]
(if (predicate value')
(#.Some (:abstraction [#value value'
#predicate predicate]))
#.None))))
)
(def: .public (only refiner values)
(All (_ t %)
(-> (Refiner t %) (List t) (List (Refined t %))))
(case values
#.End
#.End
(#.Item head tail)
(case (refiner head)
(#.Some refined)
(#.Item refined (only refiner tail))
#.None
(only refiner tail))))
(def: .public (partition refiner values)
(All (_ t %)
(-> (Refiner t %) (List t) [(List (Refined t %)) (List t)]))
(case values
#.End
[#.End #.End]
(#.Item head tail)
(let [[yes no] (partition refiner tail)]
(case (refiner head)
(#.Some refined)
[(#.Item refined yes)
no]
#.None
[yes
(#.Item head no)]))))
(syntax: .public (type [refiner <code>.any])
(macro.with_identifiers [g!t g!%]
(in (list (` ((~! type.:by_example) [(~ g!t) (~ g!%)]
(..Refiner (~ g!t) (~ g!%))
(~ refiner)
(..Refined (~ g!t) (~ g!%))))))))
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