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|
(.using
[library
[lux (.except all or and)
[control
["[0]" function]]]]
[//
[monoid (.only Monoid)]
[functor
["[0]" contravariant]]])
(type: .public (Predicate a)
(-> a Bit))
(with_template [<identity_name> <identity_value> <composition_name> <composition>]
[(def: .public <identity_name>
Predicate
(function.constant <identity_value>))
(def: .public (<composition_name> left right)
(All (_ a) (-> (Predicate a) (Predicate a) (Predicate a)))
(function (_ value)
(<composition> (left value)
(right value))))]
[none #0 or .or]
[all #1 and .and]
)
(with_template [<name> <identity> <composition>]
[(def: .public <name>
(All (_ a) (Monoid (Predicate a)))
(implementation
(def: identity <identity>)
(def: composite <composition>)))]
[union ..none ..or]
[intersection ..all ..and]
)
(def: .public (complement predicate)
(All (_ a) (-> (Predicate a) (Predicate a)))
(|>> predicate not))
(def: .public (difference sub base)
(All (_ a) (-> (Predicate a) (Predicate a) (Predicate a)))
(function (_ value)
(.and (base value)
(not (sub value)))))
(def: .public (rec predicate)
(All (_ a)
(-> (-> (Predicate a) (Predicate a))
(Predicate a)))
(function (again input)
(predicate again input)))
(def: .public functor
(contravariant.Functor Predicate)
(implementation
(def: (each f fb)
(|>> f fb))))
|
