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|
(.module:
[lux #*
[control
["." function]]]
[//
[monoid (#+ Monoid)]
[functor
["." contravariant]]])
(type: #export (Predicate a)
(-> a Bit))
(template [<identity_name> <identity_value> <composition_name> <composition>]
[(def: #export <identity_name>
Predicate
(function.constant <identity_value>))
(def: #export (<composition_name> left right)
(All [a] (-> (Predicate a) (Predicate a) (Predicate a)))
(function (_ value)
(<composition> (left value)
(right value))))]
[none #0 unite or]
[all #1 intersect and]
)
(template [<name> <identity> <composition>]
[(implementation: #export <name>
(All [a] (Monoid (Predicate a)))
(def: identity <identity>)
(def: compose <composition>))]
[union ..none ..unite]
[intersection ..all ..intersect]
)
(def: #export (complement predicate)
(All [a] (-> (Predicate a) (Predicate a)))
(|>> predicate not))
(def: #export (difference sub base)
(All [a] (-> (Predicate a) (Predicate a) (Predicate a)))
(function (_ value)
(and (base value)
(not (sub value)))))
(def: #export (rec predicate)
(All [a]
(-> (-> (Predicate a) (Predicate a))
(Predicate a)))
(function (recur input)
(predicate recur input)))
(implementation: #export functor
(contravariant.Functor Predicate)
(def: (map f fb)
(|>> f fb)))
|
