133 lines
3.8 KiB
Idris
133 lines
3.8 KiB
Idris
module Tests.Reduce
|
|
|
|
import Quox.Syntax as Lib
|
|
import Quox.Syntax.Qty.Three
|
|
import Quox.Equal
|
|
import TermImpls
|
|
import TAP
|
|
|
|
|
|
testWhnf : Eq b => Show b => (a -> (Subset b _)) -> String -> a -> b -> Test
|
|
testWhnf whnf label from to = test "\{label} (whnf)" $
|
|
let result = fst (whnf from) in
|
|
if result == to
|
|
then Right ()
|
|
else with Prelude.(::)
|
|
Left [("expected", to), ("received", result)]
|
|
|
|
testNoStep : Eq a => Show a => (a -> (Subset a _)) -> String -> a -> Test
|
|
testNoStep whnf label e = test "\{label} (no step)" $
|
|
let result = fst (whnf e) in
|
|
if result == e
|
|
then Right ()
|
|
else with Prelude.(::)
|
|
Left [("reduced", result)]
|
|
|
|
|
|
|
|
parameters {default empty defs : Definitions Three} {default 0 d, n : Nat}
|
|
testWhnfT : String -> Term Three d n -> Term Three d n -> Test
|
|
testWhnfT = testWhnf (whnf defs)
|
|
|
|
testWhnfE : String -> Elim Three d n -> Elim Three d n -> Test
|
|
testWhnfE = testWhnf (whnf defs)
|
|
|
|
testNoStepE : String -> Elim Three d n -> Test
|
|
testNoStepE = testNoStep (whnf defs)
|
|
|
|
testNoStepT : String -> Term Three d n -> Test
|
|
testNoStepT = testNoStep (whnf defs)
|
|
|
|
|
|
tests = "whnf" :- [
|
|
"head constructors" :- [
|
|
testNoStepT "★₀" $ TYPE 0,
|
|
testNoStepT "[A] ⊸ [B]" $
|
|
Arr One (FT "A") (FT "B"),
|
|
testNoStepT "(x: [A]) ⊸ [B [x]]" $
|
|
Pi One "x" (FT "A") (TUsed $ E $ F "B" :@ BVT 0),
|
|
testNoStepT "λx. [x]" $
|
|
Lam "x" $ TUsed $ BVT 0,
|
|
testNoStepT "[f [a]]" $
|
|
E $ F "f" :@ FT "a"
|
|
],
|
|
|
|
"neutrals" :- [
|
|
testNoStepE "x" {n = 1} $ BV 0,
|
|
testNoStepE "a" $ F "a",
|
|
testNoStepE "f [a]" $ F "f" :@ FT "a",
|
|
testNoStepE "★₀ ∷ ★₁" $ TYPE 0 :# TYPE 1
|
|
],
|
|
|
|
"redexes" :- [
|
|
testWhnfE "[a] ∷ [A]"
|
|
(FT "a" :# FT "A")
|
|
(F "a"),
|
|
testWhnfT "[★₁ ∷ ★₃]"
|
|
(E (TYPE 1 :# TYPE 3))
|
|
(TYPE 1),
|
|
testWhnfE "(λx. [x] ∷ [A] ⊸ [A]) [a]"
|
|
((Lam "x" (TUsed $ BVT 0) :# Arr One (FT "A") (FT "A")) :@ FT "a")
|
|
(F "a")
|
|
],
|
|
|
|
"definitions" :- [
|
|
testWhnfE "a (transparent)"
|
|
{defs = fromList [("a", mkDef Zero (TYPE 1) (TYPE 0))]}
|
|
(F "a") (TYPE 0 :# TYPE 1)
|
|
],
|
|
|
|
"elim closure" :- [
|
|
testWhnfE "x{}" {n = 1}
|
|
(CloE (BV 0) id)
|
|
(BV 0),
|
|
testWhnfE "x{a/x}"
|
|
(CloE (BV 0) (F "a" ::: id))
|
|
(F "a"),
|
|
testWhnfE "x{x/x,a/y}" {n = 1}
|
|
(CloE (BV 0) (BV 0 ::: F "a" ::: id))
|
|
(BV 0),
|
|
testWhnfE "x{(y{a/y})/x}"
|
|
(CloE (BV 0) ((CloE (BV 0) (F "a" ::: id)) ::: id))
|
|
(F "a"),
|
|
testWhnfE "(x y){f/x,a/y}"
|
|
(CloE (BV 0 :@ BVT 1) (F "f" ::: F "a" ::: id))
|
|
(F "f" :@ FT "a"),
|
|
testWhnfE "([y] ∷ [x]){A/x}" {n = 1}
|
|
(CloE (BVT 1 :# BVT 0) (F "A" ::: id))
|
|
(BV 0),
|
|
testWhnfE "([y] ∷ [x]){A/x,a/y}"
|
|
(CloE (BVT 1 :# BVT 0) (F "A" ::: F "a" ::: id))
|
|
(F "a")
|
|
],
|
|
|
|
"term closure" :- [
|
|
testWhnfT "(λy. x){a/x}"
|
|
(CloT (Lam "y" $ TUnused $ BVT 0) (F "a" ::: id))
|
|
(Lam "y" $ TUnused $ FT "a"),
|
|
testWhnfT "(λy. y){a/x}"
|
|
(CloT (Lam "y" $ TUsed $ BVT 0) (F "a" ::: id))
|
|
(Lam "y" $ TUsed $ BVT 0)
|
|
],
|
|
|
|
"looking inside […]" :- [
|
|
testWhnfT "[(λx. x ∷ A ⊸ A) [a]]"
|
|
(E $ (Lam "x" (TUsed $ BVT 0) :# Arr One (FT "A") (FT "A")) :@ FT "a")
|
|
(FT "a")
|
|
],
|
|
|
|
"nested redex" :- [
|
|
note "whnf only looks at top level redexes",
|
|
testNoStepT "λy. [(λx. [x] ∷ [A] ⊸ [A]) [y]]" $
|
|
Lam "y" $ TUsed $ E $
|
|
(Lam "x" (TUsed $ BVT 0) :# Arr One (FT "A") (FT "A")) :@ BVT 0,
|
|
testNoStepE "f [(λx. [x] ∷ [A] ⊸ [A]) [a]]" $
|
|
F "a" :@
|
|
E ((Lam "x" (TUsed $ BVT 0) :# Arr One (FT "A") (FT "A")) :@ FT "a"),
|
|
testNoStepT "λx. [y [x]]{x/x,a/y}" {n = 1} $
|
|
Lam "x" $ TUsed $ CloT (E $ BV 1 :@ BVT 0) (BV 0 ::: F "a" ::: id),
|
|
testNoStepE "f ([y [x]]{x/x,a/y})" {n = 1} $
|
|
F "f" :@ CloT (E $ BV 1 :@ BVT 0) (BV 0 ::: F "a" ::: id)
|
|
]
|
|
]
|