134 lines
4.2 KiB
Idris
134 lines
4.2 KiB
Idris
module Tests.Reduce
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import Quox.Syntax as Lib
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import Quox.Equal
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import TypingImpls
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import AstExtra
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import TAP
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import Control.Eff
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%hide Prelude.App
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%hide Pretty.App
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parameters {0 isRedex : RedexTest tm} {auto _ : CanWhnf tm isRedex} {d, n : Nat}
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{auto _ : (Eq (tm d n), Show (tm d n))}
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{default empty defs : Definitions}
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private
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testWhnf : String -> WhnfContext d n -> tm d n -> tm d n -> Test
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testWhnf label ctx from to = test "\{label} (whnf)" $ do
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result <- mapFst toInfo $ runWhnf $ whnf0 defs ctx from
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unless (result == to) $ Left [("exp", show to), ("got", show result)]
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private
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testNoStep : String -> WhnfContext d n -> tm d n -> Test
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testNoStep label ctx e = testWhnf label ctx e e
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private
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ctx : Context (\n => (BindName, Term 0 n)) n -> WhnfContext 0 n
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ctx xs = let (ns, ts) = unzip xs in MkWhnfContext [<] ns ts
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export
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tests : Test
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tests = "whnf" :- [
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"head constructors" :- [
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testNoStep "★₀" empty $ ^TYPE 0,
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testNoStep "1.A → B" empty $
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^Arr One (^FT "A" 0) (^FT "B" 0),
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testNoStep "(x: A) ⊸ B x" empty $
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^PiY One "x" (^FT "A" 0) (E $ ^App (^F "B" 0) (^BVT 0)),
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testNoStep "λ x ⇒ x" empty $
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^LamY "x" (^BVT 0),
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testNoStep "f a" empty $
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E $ ^App (^F "f" 0) (^FT "a" 0)
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],
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"neutrals" :- [
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testNoStep "x" (ctx [< ("A", ^Nat)]) $ ^BV 0,
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testNoStep "a" empty $ ^F "a" 0,
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testNoStep "f a" empty $ ^App (^F "f" 0) (^FT "a" 0),
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testNoStep "★₀ ∷ ★₁" empty $ ^Ann (^TYPE 0) (^TYPE 1)
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],
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"redexes" :- [
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testWhnf "a ∷ A" empty
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(^Ann (^FT "a" 0) (^FT "A" 0))
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(^F "a" 0),
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testWhnf "★₁ ∷ ★₃" empty
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(E $ ^Ann (^TYPE 1) (^TYPE 3))
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(^TYPE 1),
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testWhnf "(λ x ⇒ x ∷ 1.A → A) a" empty
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(^App (^Ann (^LamY "x" (^BVT 0)) (^Arr One (^FT "A" 0) (^FT "A" 0)))
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(^FT "a" 0))
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(^F "a" 0)
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],
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"definitions" :- [
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testWhnf "a (transparent)" empty
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{defs = fromList [("a", ^mkDef gzero (^TYPE 1) (^TYPE 0))]}
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(^F "a" 0) (^Ann (^TYPE 0) (^TYPE 1)),
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testNoStep "a (opaque)" empty
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{defs = fromList [("a", ^mkPostulate gzero (^TYPE 1))]}
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(^F "a" 0)
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],
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"elim closure" :- [
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testWhnf "x{}" (ctx [< ("x", ^Nat)])
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(CloE (Sub (^BV 0) id))
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(^BV 0),
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testWhnf "x{a/x}" empty
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(CloE (Sub (^BV 0) (^F "a" 0 ::: id)))
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(^F "a" 0),
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testWhnf "x{a/y}" (ctx [< ("x", ^Nat)])
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(CloE (Sub (^BV 0) (^BV 0 ::: ^F "a" 0 ::: id)))
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(^BV 0),
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testWhnf "x{(y{a/y})/x}" empty
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(CloE (Sub (^BV 0) ((CloE (Sub (^BV 0) (^F "a" 0 ::: id))) ::: id)))
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(^F "a" 0),
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testWhnf "(x y){f/x,a/y}" empty
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(CloE (Sub (^App (^BV 0) (^BVT 1)) (^F "f" 0 ::: ^F "a" 0 ::: id)))
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(^App (^F "f" 0) (^FT "a" 0)),
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testWhnf "(y ∷ x){A/x}" (ctx [< ("x", ^Nat)])
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(CloE (Sub (^Ann (^BVT 1) (^BVT 0)) (^F "A" 0 ::: id)))
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(^BV 0),
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testWhnf "(y ∷ x){A/x,a/y}" empty
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(CloE (Sub (^Ann (^BVT 1) (^BVT 0)) (^F "A" 0 ::: ^F "a" 0 ::: id)))
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(^F "a" 0)
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],
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"term closure" :- [
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testWhnf "(λ y ⇒ x){a/x}" empty
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(CloT (Sub (^LamN (^BVT 0)) (^F "a" 0 ::: id)))
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(^LamN (^FT "a" 0)),
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testWhnf "(λy. y){a/x}" empty
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(CloT (Sub (^LamY "y" (^BVT 0)) (^F "a" 0 ::: id)))
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(^LamY "y" (^BVT 0))
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],
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"looking inside `E`" :- [
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testWhnf "(λx. x ∷ A ⊸ A) a" empty
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(E $ ^App (^Ann (^LamY "x" (^BVT 0)) (^Arr One (^FT "A" 0) (^FT "A" 0)))
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(^FT "a" 0))
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(^FT "a" 0)
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],
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"nested redex" :- [
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testNoStep "λ y ⇒ ((λ x ⇒ x) ∷ 1.A → A) y" empty $
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^LamY "y" (E $
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^App (^Ann (^LamY "x" (^BVT 0)) (^Arr One (^FT "A" 0) (^FT "A" 0)))
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(^BVT 0)),
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testNoStep "f (((λ x ⇒ x) ∷ 1.A → A) a)" empty $
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^App (^F "f" 0)
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(E $ ^App (^Ann (^LamY "x" (^BVT 0)) (^Arr One (^FT "A" 0) (^FT "A" 0)))
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(^FT "a" 0)),
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testNoStep "λx. (y x){x/x,a/y}" (ctx [< ("y", ^Nat)]) $
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^LamY "x" (CloT $ Sub (E $ ^App (^BV 1) (^BVT 0))
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(^BV 0 ::: ^F "a" 0 ::: id)),
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testNoStep "f (y x){x/x,a/y}" (ctx [< ("y", ^Nat)]) $
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^App (^F "f" 0)
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(CloT (Sub (E $ ^App (^BV 1) (^BVT 0))
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(^BV 0 ::: ^F "a" 0 ::: id)))
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]
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]
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