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(.require
[library
[lux (.except)
[abstract
["[0]" monoid (.only Monoid)]
[functor (.only Functor)]
comonad]
function]])
(type: .public (Trace t a)
(Record
[#monoid (Monoid t)
#trace (-> t a)]))
(def .public functor
(All (_ t) (Functor (Trace t)))
(implementation
(def (each f fa)
(revised #trace (composite f) fa))))
(def .public comonad
(All (_ t) (CoMonad (Trace t)))
(implementation
(def functor ..functor)
(def (out wa)
((the #trace wa)
(the [#monoid monoid.#identity] wa)))
(def (disjoint wa)
(let [monoid (the #monoid wa)]
[#monoid monoid
#trace (function (_ t1)
[#monoid monoid
#trace (function (_ t2)
((the #trace wa)
(at monoid composite t1 t2)))])]))))
(def .public (result context tracer)
(All (_ t a) (-> t (Trace t a) a))
(at tracer trace context))
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