singletons-2.1: tests/compile-and-dump/Singletons/Sections.ghc80.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_0123456789 t where
Lambda_0123456789 lhs_0123456789 = Apply (Apply (:+$) lhs_0123456789) (Apply SuccSym0 ZeroSym0)
type Lambda_0123456789Sym1 t = Lambda_0123456789 t
instance SuppressUnusedWarnings Lambda_0123456789Sym0 where
suppressUnusedWarnings _
= snd
(GHC.Tuple.(,) Lambda_0123456789Sym0KindInference GHC.Tuple.())
data Lambda_0123456789Sym0 l
= forall arg. KindOf (Apply Lambda_0123456789Sym0 arg) ~ KindOf (Lambda_0123456789Sym1 arg) =>
Lambda_0123456789Sym0KindInference
type instance Apply Lambda_0123456789Sym0 l = Lambda_0123456789Sym1 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. KindOf (Apply ((:+$$) l) arg) ~ KindOf ((:+$$$) l arg) =>
(:+$$###)
type instance Apply ((:+$$) l) l = (:+$$$) l l
instance SuppressUnusedWarnings (:+$) where
suppressUnusedWarnings _
= snd (GHC.Tuple.(,) (:+$###) GHC.Tuple.())
data (:+$) (l :: TyFun Nat (TyFun Nat Nat -> GHC.Types.Type))
= forall arg. KindOf (Apply (:+$) arg) ~ KindOf ((:+$$) 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 (:+$) n) m)
type family Foo1 :: [Nat] where
Foo1 = Apply (Apply MapSym0 (Apply (:+$) (Apply SuccSym0 ZeroSym0))) (Apply (Apply (:$) ZeroSym0) (Apply (Apply (:$) (Apply SuccSym0 ZeroSym0)) '[]))
type family Foo2 :: [Nat] where
Foo2 = Apply (Apply MapSym0 Lambda_0123456789Sym0) (Apply (Apply (:$) ZeroSym0) (Apply (Apply (:$) (Apply SuccSym0 ZeroSym0)) '[]))
type family Foo3 :: [Nat] where
Foo3 = 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
= let
lambda ::
forall m.
(t ~ ZeroSym0, t ~ m) =>
Sing m -> Sing (Apply (Apply (:+$) t) t :: Nat)
lambda m = m
in lambda sM
(%:+) (SSucc sN) sM
= let
lambda ::
forall n m.
(t ~ Apply SuccSym0 n, t ~ m) =>
Sing n -> Sing m -> Sing (Apply (Apply (:+$) t) t :: Nat)
lambda n m
= applySing
(singFun1 (Proxy :: Proxy SuccSym0) SSucc)
(applySing (applySing (singFun2 (Proxy :: Proxy (:+$)) (%:+)) n) m)
in lambda sN sM
sFoo1
= applySing
(applySing
(singFun2 (Proxy :: Proxy MapSym0) sMap)
(applySing
(singFun2 (Proxy :: Proxy (:+$)) (%:+))
(applySing (singFun1 (Proxy :: Proxy SuccSym0) SSucc) SZero)))
(applySing
(applySing (singFun2 (Proxy :: Proxy (:$)) SCons) SZero)
(applySing
(applySing
(singFun2 (Proxy :: Proxy (:$)) SCons)
(applySing (singFun1 (Proxy :: Proxy SuccSym0) SSucc) SZero))
SNil))
sFoo2
= applySing
(applySing
(singFun2 (Proxy :: Proxy MapSym0) sMap)
(singFun1
(Proxy :: Proxy Lambda_0123456789Sym0)
(\ sLhs_0123456789
-> let
lambda ::
forall lhs_0123456789.
Sing lhs_0123456789
-> Sing (Apply Lambda_0123456789Sym0 lhs_0123456789)
lambda lhs_0123456789
= applySing
(applySing (singFun2 (Proxy :: Proxy (:+$)) (%:+)) lhs_0123456789)
(applySing (singFun1 (Proxy :: Proxy SuccSym0) SSucc) SZero)
in lambda sLhs_0123456789)))
(applySing
(applySing (singFun2 (Proxy :: Proxy (:$)) SCons) SZero)
(applySing
(applySing
(singFun2 (Proxy :: Proxy (:$)) SCons)
(applySing (singFun1 (Proxy :: Proxy SuccSym0) SSucc) SZero))
SNil))
sFoo3
= applySing
(applySing
(applySing
(singFun3 (Proxy :: Proxy ZipWithSym0) sZipWith)
(singFun2 (Proxy :: Proxy (:+$)) (%:+)))
(applySing
(applySing
(singFun2 (Proxy :: Proxy (:$)) SCons)
(applySing (singFun1 (Proxy :: Proxy SuccSym0) SSucc) SZero))
(applySing
(applySing
(singFun2 (Proxy :: Proxy (:$)) SCons)
(applySing (singFun1 (Proxy :: Proxy SuccSym0) SSucc) SZero))
SNil)))
(applySing
(applySing (singFun2 (Proxy :: Proxy (:$)) SCons) SZero)
(applySing
(applySing
(singFun2 (Proxy :: Proxy (:$)) SCons)
(applySing (singFun1 (Proxy :: Proxy SuccSym0) SSucc) SZero))
SNil))