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(.module:
[lux #*
[abstract
[monad (#+ Monad do)]]
[control
["p" parser
["<.>" type]
["s" code (#+ Parser)]]]
[data
["." product]
["." bit]
["." maybe]
[number
["." nat ("#\." decimal)]
["." int]
["." rev]
["." frac]]
["." text ("#\." monoid)
["%" format (#+ format)]]
[collection
["." list ("#\." monad)]
["." row]
["." array]
["." queue]
["." set]
["." dictionary (#+ Dictionary)]
["." tree]]]
[time
["." duration]
["." date]
["." instant]
["." day]
["." month]]
[macro
["." code]
["." poly (#+ poly:)]
[syntax (#+ syntax:)
["." common]]]
["." type
["." unit]]]
{1
["." /]})
(poly: #export equivalence
(`` (do {! p.monad}
[#let [g!_ (code.local_identifier "_____________")]
*env* <type>.env
inputT <type>.peek
#let [@Equivalence (: (-> Type Code)
(function (_ type)
(` ((~! /.Equivalence) (~ (poly.to_code *env* type))))))]]
($_ p.either
## Basic types
(~~ (template [<matcher> <eq>]
[(do !
[_ <matcher>]
(wrap (` (: (~ (@Equivalence inputT))
<eq>))))]
[(<type>.exactly Any) (function ((~ g!_) (~ g!_) (~ g!_)) #1)]
[(<type>.sub Bit) (~! bit.equivalence)]
[(<type>.sub Nat) (~! nat.equivalence)]
[(<type>.sub Int) (~! int.equivalence)]
[(<type>.sub Rev) (~! rev.equivalence)]
[(<type>.sub Frac) (~! frac.equivalence)]
[(<type>.sub Text) (~! text.equivalence)]))
## Composite types
(~~ (template [<name> <eq>]
[(do !
[[_ argC] (<type>.apply (p.and (<type>.exactly <name>)
equivalence))]
(wrap (` (: (~ (@Equivalence inputT))
(<eq> (~ argC))))))]
[.Maybe (~! maybe.equivalence)]
[.List (~! list.equivalence)]
[row.Row (~! row.equivalence)]
[array.Array (~! array.equivalence)]
[queue.Queue (~! queue.equivalence)]
[set.Set (~! set.equivalence)]
[tree.Tree (~! tree.equivalence)]
))
(do !
[[_ _ valC] (<type>.apply ($_ p.and
(<type>.exactly dictionary.Dictionary)
<type>.any
equivalence))]
(wrap (` (: (~ (@Equivalence inputT))
((~! dictionary.equivalence) (~ valC))))))
## Models
(~~ (template [<type> <eq>]
[(do !
[_ (<type>.exactly <type>)]
(wrap (` (: (~ (@Equivalence inputT))
<eq>))))]
[duration.Duration duration.equivalence]
[instant.Instant instant.equivalence]
[date.Date date.equivalence]
[day.Day day.equivalence]
[month.Month month.equivalence]
))
(do !
[_ (<type>.apply (p.and (<type>.exactly unit.Qty)
<type>.any))]
(wrap (` (: (~ (@Equivalence inputT))
unit.equivalence))))
## Variants
(do !
[members (<type>.variant (p.many equivalence))
#let [last (dec (list.size members))
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])
(if (nat.= last tag)
(list (` [((~ (code.nat (dec tag))) #1 (~ g!left))
((~ (code.nat (dec tag))) #1 (~ g!right))])
(` ((~ g!eq) (~ g!left) (~ g!right))))
(list (` [((~ (code.nat tag)) #0 (~ g!left))
((~ (code.nat tag)) #0 (~ g!right))])
(` ((~ g!eq) (~ g!left) (~ g!right))))))
(list.enumeration members))))
(~ g!_)
#0))))))
## Tuples
(do !
[g!eqs (<type>.tuple (p.many equivalence))
#let [g!_ (code.local_identifier "_____________")
indices (list.indices (list.size g!eqs))
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.zip/3 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] (<type>.recursive equivalence)
#let [g!_ (code.local_identifier "_____________")]]
(wrap (` (: (~ (@Equivalence inputT))
((~! /.rec) (.function ((~ g!_) (~ g!self))
(~ bodyC)))))))
<type>.recursive_self
## Type applications
(do !
[[funcC argsC] (<type>.apply (p.and equivalence (p.many equivalence)))]
(wrap (` ((~ funcC) (~+ argsC)))))
## Parameters
<type>.parameter
## Polymorphism
(do !
[[funcC varsC bodyC] (<type>.polymorphic equivalence)]
(wrap (` (: (All [(~+ varsC)]
(-> (~+ (list\map (|>> (~) ((~! /.Equivalence)) (`)) varsC))
((~! /.Equivalence) ((~ (poly.to_code *env* inputT)) (~+ varsC)))))
(function ((~ funcC) (~+ varsC))
(~ bodyC))))))
<type>.recursive_call
## If all else fails...
(|> <type>.any
(\ ! map (|>> %.type (format "Cannot create Equivalence for: ") p.fail))
(\ ! join))
))))
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