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|
(;module:
lux
(lux [io]
(control [monad #+ do]
pipe)
(data [bool "bool/" Eq<Bool>]
["e" error]
[product]
[maybe]
[text]
text/format
(coll [list "list/" Functor<List>]
["S" set]))
["r" math/random "r/" Monad<Random>]
[meta]
(meta [code]
[type "type/" Eq<Type>]
(type ["tc" check]))
test)
(luxc ["&" lang]
(lang ["@;" module]
["la" analysis]
(analysis [";A" expression]
["@" structure]
["@;" common])))
(.. common)
(test/luxc common))
(context: "Sums"
(<| (times +100)
(do @
[size (|> r;nat (:: @ map (|>. (n.% +10) (n.max +2))))
choice (|> r;nat (:: @ map (n.% size)))
primitives (r;list size gen-primitive)
+choice (|> r;nat (:: @ map (n.% (n.inc size))))
[_ +valueC] gen-primitive
#let [variantT (type;variant (list/map product;left primitives))
[valueT valueC] (maybe;assume (list;nth choice primitives))
+size (n.inc size)
+primitives (list;concat (list (list;take choice primitives)
(list [(#;Bound +1) +valueC])
(list;drop choice primitives)))
[+valueT +valueC] (maybe;assume (list;nth +choice +primitives))
+variantT (type;variant (list/map product;left +primitives))]]
($_ seq
(test "Can analyse sum."
(|> (&;with-scope
(&;with-expected-type variantT
(@;analyse-sum analyse choice valueC)))
(meta;run (init-compiler []))
(case> (^multi (#e;Success [_ sumA])
[(la;unfold-variant sumA)
(#;Some [tag last? valueA])])
(and (n.= tag choice)
(bool/= last? (n.= (n.dec size) choice)))
_
false)))
(test "Can analyse sum through bound type-vars."
(|> (&;with-scope
(do meta;Monad<Meta>
[[_ varT] (&;with-type-env tc;var)
_ (&;with-type-env
(tc;check varT variantT))]
(&;with-expected-type varT
(@;analyse-sum analyse choice valueC))))
(meta;run (init-compiler []))
(case> (^multi (#e;Success [_ sumA])
[(la;unfold-variant sumA)
(#;Some [tag last? valueA])])
(and (n.= tag choice)
(bool/= last? (n.= (n.dec size) choice)))
_
false)))
(test "Cannot analyse sum through unbound type-vars."
(|> (&;with-scope
(do meta;Monad<Meta>
[[_ varT] (&;with-type-env tc;var)]
(&;with-expected-type varT
(@;analyse-sum analyse choice valueC))))
(meta;run (init-compiler []))
(case> (#e;Success _)
false
_
true)))
(test "Can analyse sum through existential quantification."
(|> (&;with-scope
(&;with-expected-type (type;ex-q +1 +variantT)
(@;analyse-sum analyse +choice +valueC)))
(meta;run (init-compiler []))
(case> (#e;Success _)
true
(#e;Error error)
false)))
(test "Can analyse sum through universal quantification."
(|> (&;with-scope
(&;with-expected-type (type;univ-q +1 +variantT)
(@;analyse-sum analyse +choice +valueC)))
(meta;run (init-compiler []))
(case> (#e;Success _)
(not (n.= choice +choice))
(#e;Error error)
(n.= choice +choice))))
))))
(context: "Products"
(<| (times +100)
(do @
[size (|> r;nat (:: @ map (|>. (n.% +10) (n.max +2))))
primitives (r;list size gen-primitive)
choice (|> r;nat (:: @ map (n.% size)))
[_ +valueC] gen-primitive
#let [[singletonT singletonC] (|> primitives (list;nth choice) maybe;assume)
+primitives (list;concat (list (list;take choice primitives)
(list [(#;Bound +1) +valueC])
(list;drop choice primitives)))
+tupleT (type;tuple (list/map product;left +primitives))]]
($_ seq
(test "Can analyse product."
(|> (&;with-expected-type (type;tuple (list/map product;left primitives))
(@;analyse-product analyse (list/map product;right primitives)))
(meta;run (init-compiler []))
(case> (#e;Success tupleA)
(n.= size (list;size (la;unfold-tuple tupleA)))
_
false)))
(test "Can infer product."
(|> (@common;with-unknown-type
(@;analyse-product analyse (list/map product;right primitives)))
(meta;run (init-compiler []))
(case> (#e;Success [_type tupleA])
(and (type/= (type;tuple (list/map product;left primitives))
_type)
(n.= size (list;size (la;unfold-tuple tupleA))))
_
false)))
(test "Can analyse pseudo-product (singleton tuple)"
(|> (&;with-expected-type singletonT
(analyse (` [(~ singletonC)])))
(meta;run (init-compiler []))
(case> (#e;Success singletonA)
true
(#e;Error error)
false)))
(test "Can analyse product through bound type-vars."
(|> (&;with-scope
(do meta;Monad<Meta>
[[_ varT] (&;with-type-env tc;var)
_ (&;with-type-env
(tc;check varT (type;tuple (list/map product;left primitives))))]
(&;with-expected-type varT
(@;analyse-product analyse (list/map product;right primitives)))))
(meta;run (init-compiler []))
(case> (#e;Success [_ tupleA])
(n.= size (list;size (la;unfold-tuple tupleA)))
_
false)))
(test "Can analyse product through existential quantification."
(|> (&;with-scope
(&;with-expected-type (type;ex-q +1 +tupleT)
(@;analyse-product analyse (list/map product;right +primitives))))
(meta;run (init-compiler []))
(case> (#e;Success _)
true
(#e;Error error)
false)))
(test "Cannot analyse product through universal quantification."
(|> (&;with-scope
(&;with-expected-type (type;univ-q +1 +tupleT)
(@;analyse-product analyse (list/map product;right +primitives))))
(meta;run (init-compiler []))
(case> (#e;Success _)
false
(#e;Error error)
true)))
))))
(def: (check-variant-inference variantT choice size analysis)
(-> Type Nat Nat (Meta [Module Scope Type la;Analysis]) Bool)
(|> analysis
(meta;run (init-compiler []))
(case> (^multi (#e;Success [_ _ sumT sumA])
[(la;unfold-variant sumA)
(#;Some [tag last? valueA])])
(and (type/= variantT sumT)
(n.= tag choice)
(bool/= last? (n.= (n.dec size) choice)))
_
false)))
(def: (check-record-inference tupleT size analysis)
(-> Type Nat (Meta [Module Scope Type la;Analysis]) Bool)
(|> analysis
(meta;run (init-compiler []))
(case> (^multi (#e;Success [_ _ productT productA])
[(la;unfold-tuple productA)
membersA])
(and (type/= tupleT productT)
(n.= size (list;size membersA)))
_
false)))
(context: "Tagged Sums"
(<| (times +100)
(do @
[size (|> r;nat (:: @ map (|>. (n.% +10) (n.max +2))))
tags (|> (r;set text;Hash<Text> size (r;text +5)) (:: @ map S;to-list))
choice (|> r;nat (:: @ map (n.% size)))
other-choice (|> r;nat (:: @ map (n.% size)) (r;filter (|>. (n.= choice) not)))
primitives (r;list size gen-primitive)
module-name (r;text +5)
type-name (r;text +5)
#let [varT (#;Bound +1)
primitivesT (list/map product;left primitives)
[choiceT choiceC] (maybe;assume (list;nth choice primitives))
[other-choiceT other-choiceC] (maybe;assume (list;nth other-choice primitives))
variantT (type;variant primitivesT)
namedT (#;Named [module-name type-name] variantT)
polyT (|> (type;variant (list;concat (list (list;take choice primitivesT)
(list varT)
(list;drop (n.inc choice) primitivesT))))
(type;univ-q +1))
named-polyT (#;Named [module-name type-name] polyT)
choice-tag (maybe;assume (list;nth choice tags))
other-choice-tag (maybe;assume (list;nth other-choice tags))]]
($_ seq
(test "Can infer tagged sum."
(|> (@module;with-module +0 module-name
(do meta;Monad<Meta>
[_ (@module;declare-tags tags false namedT)]
(&;with-scope
(@common;with-unknown-type
(@;analyse-tagged-sum analyse [module-name choice-tag] choiceC)))))
(check-variant-inference variantT choice size)))
(test "Tagged sums specialize when type-vars get bound."
(|> (@module;with-module +0 module-name
(do meta;Monad<Meta>
[_ (@module;declare-tags tags false named-polyT)]
(&;with-scope
(@common;with-unknown-type
(@;analyse-tagged-sum analyse [module-name choice-tag] choiceC)))))
(check-variant-inference variantT choice size)))
(test "Tagged sum inference retains universal quantification when type-vars are not bound."
(|> (@module;with-module +0 module-name
(do meta;Monad<Meta>
[_ (@module;declare-tags tags false named-polyT)]
(&;with-scope
(@common;with-unknown-type
(@;analyse-tagged-sum analyse [module-name other-choice-tag] other-choiceC)))))
(check-variant-inference polyT other-choice size)))
(test "Can specialize generic tagged sums."
(|> (@module;with-module +0 module-name
(do meta;Monad<Meta>
[_ (@module;declare-tags tags false named-polyT)]
(&;with-scope
(&;with-expected-type variantT
(@;analyse-tagged-sum analyse [module-name other-choice-tag] other-choiceC)))))
(meta;run (init-compiler []))
(case> (^multi (#e;Success [_ _ sumA])
[(la;unfold-variant sumA)
(#;Some [tag last? valueA])])
(and (n.= tag other-choice)
(bool/= last? (n.= (n.dec size) other-choice)))
_
false)))
))))
(context: "Records"
(<| (times +100)
(do @
[size (|> r;nat (:: @ map (|>. (n.% +10) (n.max +2))))
tags (|> (r;set text;Hash<Text> size (r;text +5)) (:: @ map S;to-list))
primitives (r;list size gen-primitive)
module-name (r;text +5)
type-name (r;text +5)
choice (|> r;nat (:: @ map (n.% size)))
#let [varT (#;Bound +1)
tagsC (list/map (|>. [module-name] code;tag) tags)
primitivesT (list/map product;left primitives)
primitivesC (list/map product;right primitives)
tupleT (type;tuple primitivesT)
namedT (#;Named [module-name type-name] tupleT)
recordC (list;zip2 tagsC primitivesC)
polyT (|> (type;tuple (list;concat (list (list;take choice primitivesT)
(list varT)
(list;drop (n.inc choice) primitivesT))))
(type;univ-q +1))
named-polyT (#;Named [module-name type-name] polyT)]]
($_ seq
(test "Can infer record."
(|> (@module;with-module +0 module-name
(do meta;Monad<Meta>
[_ (@module;declare-tags tags false namedT)]
(&;with-scope
(@common;with-unknown-type
(@;analyse-record analyse recordC)))))
(check-record-inference tupleT size)))
(test "Records specialize when type-vars get bound."
(|> (@module;with-module +0 module-name
(do meta;Monad<Meta>
[_ (@module;declare-tags tags false named-polyT)]
(&;with-scope
(@common;with-unknown-type
(@;analyse-record analyse recordC)))))
(check-record-inference tupleT size)))
(test "Can specialize generic records."
(|> (@module;with-module +0 module-name
(do meta;Monad<Meta>
[_ (@module;declare-tags tags false named-polyT)]
(&;with-scope
(&;with-expected-type tupleT
(@;analyse-record analyse recordC)))))
(meta;run (init-compiler []))
(case> (^multi (#e;Success [_ _ productA])
[(la;unfold-tuple productA)
membersA])
(n.= size (list;size membersA))
_
false)))
))))
|
