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(.module:
[library
[lux #*
[control
["." function]]]]
[//
["." equivalence (#+ Equivalence)]
[functor
["." contravariant]]])
(type: .public (Order a)
(Interface
(: (Equivalence a)
&equivalence)
(: (-> a a Bit)
<)))
(type: .public (Comparison a)
(-> (Order a) a a Bit))
(def: .public (<= order parameter subject)
Comparison
(or (\ order < parameter subject)
(\ order = parameter subject)))
(def: .public (> order parameter subject)
Comparison
(\ order < subject parameter))
(def: .public (>= order parameter subject)
Comparison
(or (\ order < subject parameter)
(\ order = subject parameter)))
(type: .public (Choice a)
(-> (Order a) a a a))
(def: .public (min order x y)
Choice
(if (\ order < y x) x y))
(def: .public (max order x y)
Choice
(if (\ order < y x) y x))
(implementation: .public functor
(contravariant.Functor Order)
(def: (each f order)
(implementation
(def: &equivalence
(\ equivalence.functor each f (\ order &equivalence)))
(def: (< reference sample)
(\ order < (f reference) (f sample))))))
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