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(;module:
lux
(lux (control monad)
(data [text]
text/format
(coll [list "L/" Fold<List> Monoid<List> Monad<List>]))
[macro #+ Monad<Lux>]
[type]
(type ["TC" check]))
(luxc ["&" base]
(lang ["la" analysis #+ Analysis])
["&;" env]
(analyser ["&;" common])))
## [Analysers]
(def: (bind-var var-id bound-idx type)
(-> Nat Nat Type Type)
(case type
(#;Host name params)
(#;Host name (L/map (bind-var var-id bound-idx) params))
(^template [<tag>]
(<tag> left right)
(<tag> (bind-var var-id bound-idx left)
(bind-var var-id bound-idx right)))
([#;Sum]
[#;Product]
[#;Function]
[#;App])
(#;Var id)
(if (n.= var-id id)
(#;Bound bound-idx)
type)
(^template [<tag>]
(<tag> env quantified)
(<tag> (L/map (bind-var var-id bound-idx) env)
(bind-var var-id (n.+ +2 bound-idx) quantified)))
([#;UnivQ]
[#;ExQ])
(#;Named name unnamedT)
(#;Named name
(bind-var var-id bound-idx unnamedT))
_
type))
(def: #export (analyse-function analyse func-name arg-name body)
(-> &;Analyser Text Text Code (Lux Analysis))
(do Monad<Lux>
[expected macro;expected-type]
(&;with-stacked-errors
(function [_] (format "Functions require function types: " (type;to-text expected)))
(case expected
(#;Named name unnamedT)
(&;with-expected-type unnamedT
(analyse-function analyse func-name arg-name body))
(#;App funT argT)
(do @
[fully-applied (case (type;apply-type funT argT)
(#;Some value)
(wrap value)
#;None
(&;fail (format "Cannot apply type " (%type funT) " to type " (%type argT))))]
(&;with-expected-type fully-applied
(analyse-function analyse func-name arg-name body)))
(#;UnivQ _)
(do @
[[var-id var] (&;within-type-env
TC;existential)]
(&;with-expected-type (assume (type;apply-type expected var))
(analyse-function analyse func-name arg-name body)))
(#;ExQ _)
(&common;with-var
(function [[var-id var]]
(&;with-expected-type (assume (type;apply-type expected var))
(analyse-function analyse func-name arg-name body))))
(#;Var id)
(do @
[? (&;within-type-env
(TC;bound? id))]
(if ?
(do @
[expected' (&;within-type-env
(TC;read-var id))]
(&;with-expected-type expected'
(analyse-function analyse func-name arg-name body)))
## Inference
(&common;with-var
(function [[input-id inputT]]
(&common;with-var
(function [[output-id outputT]]
(do @
[#let [funT (#;Function inputT outputT)]
=function (&;with-expected-type funT
(analyse-function analyse func-name arg-name body))
funT' (&;within-type-env
(TC;clean output-id funT))
concrete-input? (&;within-type-env
(TC;bound? input-id))
funT'' (if concrete-input?
(&;within-type-env
(TC;clean input-id funT'))
(wrap (#;UnivQ (list) (bind-var input-id +1 funT'))))
_ (&;within-type-env
(TC;check expected funT''))]
(wrap =function))
))))))
(#;Function inputT outputT)
(<| (:: @ map (|>. #la;Function))
&;with-scope
(&env;with-local [func-name expected])
(&env;with-local [arg-name inputT])
(&;with-expected-type outputT)
(analyse body))
_
(&;fail "")
))))
(def: (analyse-apply' analyse funcT args)
(-> &;Analyser Type (List Code) (Lux [Type (List Analysis)]))
(case args
#;Nil
(:: Monad<Lux> wrap [funcT (list)])
(#;Cons arg args')
(&;with-stacked-errors
(function [_] (format "Cannot apply function " (%type funcT)
" to args: " (|> args (L/map %code) (text;join-with " "))))
(case funcT
(#;Named name unnamedT)
(analyse-apply' analyse unnamedT args)
(#;UnivQ _)
(&common;with-var
(function [[var-id varT]]
(do Monad<Lux>
[[outputT argsA] (analyse-apply' analyse (assume (type;apply-type funcT varT)) args)]
(do @
[? (&;within-type-env
(TC;bound? var-id))
outputT' (if ?
(&;within-type-env
(TC;clean var-id outputT))
(wrap (#;UnivQ (list) (bind-var var-id +1 outputT))))]
(wrap [outputT' argsA])))))
(#;ExQ _)
(do Monad<Lux>
[[ex-id exT] (&;within-type-env
TC;existential)]
(analyse-apply' analyse (assume (type;apply-type funcT exT)) args))
(#;Function inputT outputT)
(do Monad<Lux>
[[outputT' args'A] (analyse-apply' analyse outputT args')
argA (&;with-stacked-errors
(function [_] (format "Expected type: " (%type inputT) "\n"
" For argument: " (%code arg)))
(&;with-expected-type inputT
(analyse arg)))]
(wrap [outputT' (list& argA args'A)]))
_
(&;fail (format "Cannot apply a non-function: " (%type funcT)))))
))
(def: #export (analyse-apply analyse funcT funcA args)
(-> &;Analyser Type Analysis (List Code) (Lux Analysis))
(do Monad<Lux>
[expected macro;expected-type
[applyT argsA] (analyse-apply' analyse funcT args)
_ (&;within-type-env
(TC;check expected applyT))]
(wrap (L/fold (function [arg func]
(#la;Apply arg func))
funcA
argsA))))
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