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(.module:
[lux #*
[control
[monad (#+ do Monad)]
["eq" equivalence]
["p" parser]]
[data
["." product]
["." bit]
["." maybe]
["." number ("nat/." Codec<Text,Nat>)]
["." text ("text/." Monoid<Text>)
format]
[collection
["." list ("list/." Monad<List>)]
["." row]
["." array]
["." queue]
["." set]
["dict" dictionary (#+ Dictionary)]
[tree
["." rose]]]]
[time
["du" duration]
["da" date]
["i" instant]]
["." macro
["." code]
[syntax (#+ syntax: Syntax)
["." common]]
["." poly (#+ poly:)]]
["." type
["." unit]]])
## [Derivers]
(poly: #export Equivalence<?>
(`` (do @
[#let [g!_ (code.local-identifier "_____________")]
*env* poly.env
inputT poly.peek
#let [@Equivalence (: (-> Type Code)
(function (_ type)
(` (eq.Equivalence (~ (poly.to-code *env* type))))))]]
($_ p.either
## Basic types
(~~ (do-template [<matcher> <eq>]
[(do @
[_ <matcher>]
(wrap (` (: (~ (@Equivalence inputT))
<eq>))))]
[(poly.exactly Any) (function ((~ g!_) (~ g!_) (~ g!_)) #1)]
[(poly.sub Bit) bit.Equivalence<Bit>]
[(poly.sub Nat) number.Equivalence<Nat>]
[(poly.sub Int) number.Equivalence<Int>]
[(poly.sub Rev) number.Equivalence<Rev>]
[(poly.sub Frac) number.Equivalence<Frac>]
[(poly.sub Text) text.Equivalence<Text>]))
## Composite types
(~~ (do-template [<name> <eq>]
[(do @
[[_ argC] (poly.apply (p.seq (poly.exactly <name>)
Equivalence<?>))]
(wrap (` (: (~ (@Equivalence inputT))
(<eq> (~ argC))))))]
[.Maybe maybe.Equivalence<Maybe>]
[.List list.Equivalence<List>]
[row.Row row.Equivalence<Row>]
[.Array array.Equivalence<Array>]
[queue.Queue queue.Equivalence<Queue>]
[set.Set set.Equivalence<Set>]
[rose.Tree rose.Equivalence<Tree>]
))
(do @
[[_ _ valC] (poly.apply ($_ p.seq
(poly.exactly dict.Dictionary)
poly.any
Equivalence<?>))]
(wrap (` (: (~ (@Equivalence inputT))
(dict.Equivalence<Dictionary> (~ valC))))))
## Models
(~~ (do-template [<type> <eq>]
[(do @
[_ (poly.exactly <type>)]
(wrap (` (: (~ (@Equivalence inputT))
<eq>))))]
[du.Duration du.Equivalence<Duration>]
[i.Instant i.Equivalence<Instant>]
[da.Date da.Equivalence<Date>]
[da.Day da.Equivalence<Day>]
[da.Month da.Equivalence<Month>]))
(do @
[_ (poly.apply (p.seq (poly.exactly unit.Qty)
poly.any))]
(wrap (` (: (~ (@Equivalence inputT))
unit.Equivalence<Qty>))))
## Variants
(do @
[members (poly.variant (p.many Equivalence<?>))
#let [g!_ (code.local-identifier "_____________")
g!left (code.local-identifier "_____________left")
g!right (code.local-identifier "_____________right")]]
(wrap (` (: (~ (@Equivalence inputT))
(function ((~ g!_) (~ g!left) (~ g!right))
(case [(~ g!left) (~ g!right)]
(~+ (list/join (list/map (function (_ [tag g!eq])
(list (` [((~ (code.nat tag)) (~ g!left))
((~ (code.nat tag)) (~ g!right))])
(` ((~ g!eq) (~ g!left) (~ g!right)))))
(list.enumerate members))))
(~ g!_)
#0))))))
## Tuples
(do @
[g!eqs (poly.tuple (p.many Equivalence<?>))
#let [g!_ (code.local-identifier "_____________")
indices (|> (list.size g!eqs) dec (list.n/range +0))
g!lefts (list/map (|>> nat/encode (text/compose "left") code.local-identifier) indices)
g!rights (list/map (|>> nat/encode (text/compose "right") code.local-identifier) indices)]]
(wrap (` (: (~ (@Equivalence inputT))
(function ((~ g!_) [(~+ g!lefts)] [(~+ g!rights)])
(and (~+ (|> (list.zip3 g!eqs g!lefts g!rights)
(list/map (function (_ [g!eq g!left g!right])
(` ((~ g!eq) (~ g!left) (~ g!right)))))))))))))
## Type recursion
(do @
[[g!self bodyC] (poly.recursive Equivalence<?>)
#let [g!_ (code.local-identifier "_____________")]]
(wrap (` (: (~ (@Equivalence inputT))
(eq.rec (.function ((~ g!_) (~ g!self))
(~ bodyC)))))))
poly.recursive-self
## Type applications
(do @
[[funcC argsC] (poly.apply (p.seq Equivalence<?> (p.many Equivalence<?>)))]
(wrap (` ((~ funcC) (~+ argsC)))))
## Parameters
poly.parameter
## Polymorphism
(do @
[[funcC varsC bodyC] (poly.polymorphic Equivalence<?>)]
(wrap (` (: (All [(~+ varsC)]
(-> (~+ (list/map (|>> (~) eq.Equivalence (`)) varsC))
(eq.Equivalence ((~ (poly.to-code *env* inputT)) (~+ varsC)))))
(function ((~ funcC) (~+ varsC))
(~ bodyC))))))
poly.recursive-call
## If all else fails...
(|> poly.any
(:: @ map (|>> %type (format "Cannot create Equivalence for: ") p.fail))
(:: @ join))
))))
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