115 lines
3.4 KiB
Idris
115 lines
3.4 KiB
Idris
module Tests.Reduce
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import Quox.Syntax as Lib
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import Quox.Syntax.Qty.Three
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import Quox.Equal
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import TermImpls
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import TypingImpls
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import TAP
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parameters {0 isRedex : RedexTest tm} {auto _ : Whnf tm isRedex err}
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{auto _ : ToInfo err}
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{auto _ : forall d, n. Eq (tm Three d n)}
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{auto _ : forall d, n. Show (tm Three d n)}
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{default empty defs : Definitions Three}
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{default 0 d, n : Nat}
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testWhnf : String -> tm Three d n -> tm Three d n -> Test
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testWhnf label from to = test "\{label} (whnf)" $ do
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result <- bimap toInfo fst $ whnf defs from
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unless (result == to) $ Left [("exp", show to), ("got", show result)]
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testNoStep : String -> tm Three d n -> Test
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testNoStep label e = testWhnf label e e
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tests = "whnf" :- [
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"head constructors" :- [
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testNoStep "★₀" $ TYPE 0,
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testNoStep "[A] ⊸ [B]" $
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Arr One (FT "A") (FT "B"),
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testNoStep "(x: [A]) ⊸ [B [x]]" $
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Pi One (FT "A") (S ["x"] $ Y $ E $ F "B" :@ BVT 0),
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testNoStep "λx. [x]" $
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Lam $ S ["x"] $ Y $ BVT 0,
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testNoStep "[f [a]]" $
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E $ F "f" :@ FT "a"
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],
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"neutrals" :- [
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testNoStep "x" {n = 1} $ BV 0,
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testNoStep "a" $ F "a",
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testNoStep "f [a]" $ F "f" :@ FT "a",
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testNoStep "★₀ ∷ ★₁" $ TYPE 0 :# TYPE 1
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],
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"redexes" :- [
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testWhnf "[a] ∷ [A]"
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(FT "a" :# FT "A")
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(F "a"),
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testWhnf "[★₁ ∷ ★₃]"
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(E (TYPE 1 :# TYPE 3))
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(TYPE 1),
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testWhnf "(λx. [x] ∷ [A] ⊸ [A]) [a]"
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(((["x"] :\\ BVT 0) :# Arr One (FT "A") (FT "A")) :@ FT "a")
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(F "a")
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],
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"definitions" :- [
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testWhnf "a (transparent)"
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{defs = fromList [("a", mkDef Zero (TYPE 1) (TYPE 0))]}
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(F "a") (TYPE 0 :# TYPE 1)
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],
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"elim closure" :- [
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testWhnf "x{}" {n = 1}
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(CloE (BV 0) id)
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(BV 0),
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testWhnf "x{a/x}"
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(CloE (BV 0) (F "a" ::: id))
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(F "a"),
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testWhnf "x{x/x,a/y}" {n = 1}
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(CloE (BV 0) (BV 0 ::: F "a" ::: id))
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(BV 0),
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testWhnf "x{(y{a/y})/x}"
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(CloE (BV 0) ((CloE (BV 0) (F "a" ::: id)) ::: id))
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(F "a"),
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testWhnf "(x y){f/x,a/y}"
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(CloE (BV 0 :@ BVT 1) (F "f" ::: F "a" ::: id))
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(F "f" :@ FT "a"),
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testWhnf "([y] ∷ [x]){A/x}" {n = 1}
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(CloE (BVT 1 :# BVT 0) (F "A" ::: id))
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(BV 0),
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testWhnf "([y] ∷ [x]){A/x,a/y}"
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(CloE (BVT 1 :# BVT 0) (F "A" ::: F "a" ::: id))
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(F "a")
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],
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"term closure" :- [
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testWhnf "(λy. x){a/x}"
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(CloT (Lam $ S ["y"] $ N $ BVT 0) (F "a" ::: id))
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(Lam $ S ["y"] $ N $ FT "a"),
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testWhnf "(λy. y){a/x}"
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(CloT (["y"] :\\ BVT 0) (F "a" ::: id))
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(["y"] :\\ BVT 0)
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],
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"looking inside […]" :- [
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testWhnf "[(λx. x ∷ A ⊸ A) [a]]"
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(E $ ((["x"] :\\ BVT 0) :# Arr One (FT "A") (FT "A")) :@ FT "a")
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(FT "a")
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],
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"nested redex" :- [
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note "whnf only looks at top level redexes",
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testNoStep "λy. [(λx. [x] ∷ [A] ⊸ [A]) [y]]" $
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["y"] :\\ E (((["x"] :\\ BVT 0) :# Arr One (FT "A") (FT "A")) :@ BVT 0),
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testNoStep "f [(λx. [x] ∷ [A] ⊸ [A]) [a]]" $
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F "a" :@
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E (((["x"] :\\ BVT 0) :# Arr One (FT "A") (FT "A")) :@ FT "a"),
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testNoStep "λx. [y [x]]{x/x,a/y}" {n = 1} $
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["x"] :\\ CloT (E $ BV 1 :@ BVT 0) (BV 0 ::: F "a" ::: id),
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testNoStep "f ([y [x]]{x/x,a/y})" {n = 1} $
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F "f" :@ CloT (E $ BV 1 :@ BVT 0) (BV 0 ::: F "a" ::: id)
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]
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]
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