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|
(.using
[library
[lux (.except)
[abstract
[monad (.only Monad do)]]
[control
["[0]" maybe]
["<>" parser (.only)
["<[0]>" type]]]
[data
["[0]" product]
["[0]" bit]
["[0]" text (.open: "[1]#[0]" monoid)
["%" \\format (.only format)]]
[collection
["[0]" list (.open: "[1]#[0]" monad)]
["[0]" sequence]
["[0]" array]
["[0]" queue]
["[0]" set]
["[0]" dictionary (.only Dictionary)]
["[0]" tree]]]
[macro
["[0]" code]]
[math
[number
["[0]" nat (.open: "[1]#[0]" decimal)]
["[0]" int]
["[0]" rev]
["[0]" frac]]]
[time
["[0]" duration]
["[0]" date]
["[0]" instant]
["[0]" day]
["[0]" month]]
["[0]" type (.only)
["[0]" poly (.only polytypic)]
["[0]" unit]]]]
[\\library
["[0]" /]])
(def .public equivalence
(polytypic equivalence
(`` (do [! <>.monad]
[.let [g!_ (code.local "_____________")]
*env* <type>.env
inputT <type>.next
.let [@Equivalence (is (-> Type Code)
(function (_ type)
(` ((~! /.Equivalence) (~ (poly.code *env* type))))))]]
(all <>.either
... Basic types
(~~ (with_template [<matcher> <eq>]
[(do !
[_ <matcher>]
(in (` (is (~ (@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
(~~ (with_template [<name> <eq>]
[(do !
[[_ argC] (<type>.applied (<>.and (<type>.exactly <name>)
equivalence))]
(in (` (is (~ (@Equivalence inputT))
(<eq> (~ argC))))))]
[.Maybe (~! maybe.equivalence)]
[.List (~! list.equivalence)]
[sequence.Sequence (~! sequence.equivalence)]
[array.Array (~! array.equivalence)]
[queue.Queue (~! queue.equivalence)]
[set.Set (~! set.equivalence)]
[tree.Tree (~! tree.equivalence)]
))
(do !
[[_ _ valC] (<type>.applied (all <>.and
(<type>.exactly dictionary.Dictionary)
<type>.any
equivalence))]
(in (` (is (~ (@Equivalence inputT))
((~! dictionary.equivalence) (~ valC))))))
... Models
(~~ (with_template [<type> <eq>]
[(do !
[_ (<type>.exactly <type>)]
(in (` (is (~ (@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>.applied (<>.and (<type>.exactly unit.Qty)
<type>.any))]
(in (` (is (~ (@Equivalence inputT))
unit.equivalence))))
... Variants
(do !
[members (<type>.variant (<>.many equivalence))
.let [last (-- (list.size members))
g!_ (code.local "_____________")
g!left (code.local "_____________left")
g!right (code.local "_____________right")]]
(in (` (is (~ (@Equivalence inputT))
(function ((~ g!_) (~ g!left) (~ g!right))
(case [(~ g!left) (~ g!right)]
(~+ (list#conjoint (list#each (function (_ [tag g!eq])
(if (nat.= last tag)
(list (` [{(~ (code.nat (-- tag))) #1 (~ g!left)}
{(~ (code.nat (-- 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 (<>.many equivalence))
.let [g!_ (code.local "_____________")
indices (list.indices (list.size g!eqs))
g!lefts (list#each (|>> nat#encoded (text#composite "left") code.local) indices)
g!rights (list#each (|>> nat#encoded (text#composite "right") code.local) indices)]]
(in (` (is (~ (@Equivalence inputT))
(function ((~ g!_) [(~+ g!lefts)] [(~+ g!rights)])
(and (~+ (|> (list.zipped_3 g!eqs g!lefts g!rights)
(list#each (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 "_____________")]]
(in (` (is (~ (@Equivalence inputT))
((~! /.rec) (.function ((~ g!_) (~ g!self))
(~ bodyC)))))))
<type>.recursive_self
... Type applications
(do !
[[funcC argsC] (<type>.applied (<>.and equivalence (<>.many equivalence)))]
(in (` ((~ funcC) (~+ argsC)))))
... Parameters
<type>.parameter
... Polymorphism
(do !
[[funcC varsC bodyC] (<type>.polymorphic equivalence)]
(in (` (is (All ((~ g!_) (~+ varsC))
(-> (~+ (list#each (|>> (~) ((~! /.Equivalence)) (`)) varsC))
((~! /.Equivalence) ((~ (poly.code *env* inputT)) (~+ varsC)))))
(function ((~ funcC) (~+ varsC))
(~ bodyC))))))
<type>.recursive_call
... If all else fails...
(|> <type>.any
(at ! each (|>> %.type (format "Cannot create Equivalence for: ") <>.failure))
(at ! conjoint))
)))))
|
