singletons-2.3: tests/compile-and-dump/Singletons/Sections.ghc82.template
Singletons/Sections.hs:(0,0)-(0,0): Splicing declarations
singletons
[d| (+) :: Nat -> Nat -> Nat
Zero + m = m
(Succ n) + m = Succ (n + m)
foo1 :: [Nat]
foo1 = map ((Succ Zero) +) [Zero, Succ Zero]
foo2 :: [Nat]
foo2 = map (+ (Succ Zero)) [Zero, Succ Zero]
foo3 :: [Nat]
foo3 = zipWith (+) [Succ Zero, Succ Zero] [Zero, Succ Zero] |]
======>
(+) :: Nat -> Nat -> Nat
(+) Zero m = m
(+) (Succ n) m = Succ (n + m)
foo1 :: [Nat]
foo1 = (map (Succ Zero +)) [Zero, Succ Zero]
foo2 :: [Nat]
foo2 = (map (+ Succ Zero)) [Zero, Succ Zero]
foo3 :: [Nat]
foo3 = ((zipWith (+)) [Succ Zero, Succ Zero]) [Zero, Succ Zero]
type family Lambda_0123456789876543210 t where
Lambda_0123456789876543210 lhs_0123456789876543210 = Apply (Apply (:+$) lhs_0123456789876543210) (Apply SuccSym0 ZeroSym0)
type Lambda_0123456789876543210Sym1 t =
Lambda_0123456789876543210 t
instance SuppressUnusedWarnings Lambda_0123456789876543210Sym0 where
suppressUnusedWarnings _
= snd
((GHC.Tuple.(,) Lambda_0123456789876543210Sym0KindInference)
GHC.Tuple.())
data Lambda_0123456789876543210Sym0 l
= forall arg. SameKind (Apply Lambda_0123456789876543210Sym0 arg) (Lambda_0123456789876543210Sym1 arg) =>
Lambda_0123456789876543210Sym0KindInference
type instance Apply Lambda_0123456789876543210Sym0 l = Lambda_0123456789876543210 l
type (:+$$$) (t :: Nat) (t :: Nat) = (:+) t t
instance SuppressUnusedWarnings (:+$$) where
suppressUnusedWarnings _
= snd ((GHC.Tuple.(,) (:+$$###)) GHC.Tuple.())
data (:+$$) (l :: Nat) (l :: TyFun Nat Nat)
= forall arg. SameKind (Apply ((:+$$) l) arg) ((:+$$$) l arg) =>
(:+$$###)
type instance Apply ((:+$$) l) l = (:+) l l
instance SuppressUnusedWarnings (:+$) where
suppressUnusedWarnings _
= snd ((GHC.Tuple.(,) (:+$###)) GHC.Tuple.())
data (:+$) (l :: TyFun Nat (TyFun Nat Nat -> GHC.Types.Type))
= forall arg. SameKind (Apply (:+$) arg) ((:+$$) arg) => (:+$###)
type instance Apply (:+$) l = (:+$$) l
type Foo1Sym0 = Foo1
type Foo2Sym0 = Foo2
type Foo3Sym0 = Foo3
type family (:+) (a :: Nat) (a :: Nat) :: Nat where
(:+) Zero m = m
(:+) (Succ n) m = Apply SuccSym0 (Apply (Apply (:+$) n) m)
type family Foo1 :: [Nat] where
= Apply (Apply MapSym0 (Apply (:+$) (Apply SuccSym0 ZeroSym0))) (Apply (Apply (:$) ZeroSym0) (Apply (Apply (:$) (Apply SuccSym0 ZeroSym0)) '[]))
type family Foo2 :: [Nat] where
= Apply (Apply MapSym0 Lambda_0123456789876543210Sym0) (Apply (Apply (:$) ZeroSym0) (Apply (Apply (:$) (Apply SuccSym0 ZeroSym0)) '[]))
type family Foo3 :: [Nat] where
= Apply (Apply (Apply ZipWithSym0 (:+$)) (Apply (Apply (:$) (Apply SuccSym0 ZeroSym0)) (Apply (Apply (:$) (Apply SuccSym0 ZeroSym0)) '[]))) (Apply (Apply (:$) ZeroSym0) (Apply (Apply (:$) (Apply SuccSym0 ZeroSym0)) '[]))
(%:+) ::
forall (t :: Nat) (t :: Nat).
Sing t -> Sing t -> Sing (Apply (Apply (:+$) t) t :: Nat)
sFoo1 :: Sing (Foo1Sym0 :: [Nat])
sFoo2 :: Sing (Foo2Sym0 :: [Nat])
sFoo3 :: Sing (Foo3Sym0 :: [Nat])
(%:+) SZero (sM :: Sing m) = sM
(%:+) (SSucc (sN :: Sing n)) (sM :: Sing m)
= (applySing ((singFun1 @SuccSym0) SSucc))
((applySing ((applySing ((singFun2 @(:+$)) (%:+))) sN)) sM)
sFoo1
= (applySing
((applySing ((singFun2 @MapSym0) sMap))
((applySing ((singFun2 @(:+$)) (%:+)))
((applySing ((singFun1 @SuccSym0) SSucc)) SZero))))
((applySing ((applySing ((singFun2 @(:$)) SCons)) SZero))
((applySing
((applySing ((singFun2 @(:$)) SCons))
((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))
SNil))
sFoo2
= (applySing
((applySing ((singFun2 @MapSym0) sMap))
((singFun1 @Lambda_0123456789876543210Sym0)
(\ sLhs_0123456789876543210
-> case sLhs_0123456789876543210 of {
_ :: Sing lhs_0123456789876543210
-> (applySing
((applySing ((singFun2 @(:+$)) (%:+))) sLhs_0123456789876543210))
((applySing ((singFun1 @SuccSym0) SSucc)) SZero) }))))
((applySing ((applySing ((singFun2 @(:$)) SCons)) SZero))
((applySing
((applySing ((singFun2 @(:$)) SCons))
((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))
SNil))
sFoo3
= (applySing
((applySing
((applySing ((singFun3 @ZipWithSym0) sZipWith))
((singFun2 @(:+$)) (%:+))))
((applySing
((applySing ((singFun2 @(:$)) SCons))
((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))
((applySing
((applySing ((singFun2 @(:$)) SCons))
((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))
SNil))))
((applySing ((applySing ((singFun2 @(:$)) SCons)) SZero))
((applySing
((applySing ((singFun2 @(:$)) SCons))
((applySing ((singFun1 @SuccSym0) SSucc)) SZero)))
SNil))