singletons-base-3.5.1: tests/compile-and-dump/Singletons/Classes.golden
Singletons/Classes.hs:(0,0)-(0,0): Splicing declarations
singletons
[d| const :: a -> b -> a
const x _ = x
fooCompare :: Foo -> Foo -> Ordering
fooCompare A A = EQ
fooCompare A B = LT
fooCompare B B = GT
fooCompare B A = EQ
class MyOrd a where
mycompare :: a -> a -> Ordering
(<=>) :: a -> a -> Ordering
(<=>) = mycompare
infix 4 <=>
data Foo = A | B
data Foo2 = F | G
instance Eq Foo2 where
F == F = True
G == G = True
F == G = False
G == F = False
instance MyOrd Foo where
mycompare = fooCompare
instance MyOrd () where
mycompare _ = const EQ
instance MyOrd Nat where
Zero `mycompare` Zero = EQ
Zero `mycompare` (Succ _) = LT
(Succ _) `mycompare` Zero = GT
(Succ n) `mycompare` (Succ m) = m `mycompare` n |]
======>
const :: a -> b -> a
const x _ = x
class MyOrd a where
mycompare :: a -> a -> Ordering
(<=>) :: a -> a -> Ordering
infix 4 <=>
(<=>) = mycompare
instance MyOrd Nat where
mycompare Zero Zero = EQ
mycompare Zero (Succ _) = LT
mycompare (Succ _) Zero = GT
mycompare (Succ n) (Succ m) = (m `mycompare` n)
instance MyOrd () where
mycompare _ = const EQ
data Foo = A | B
fooCompare :: Foo -> Foo -> Ordering
fooCompare A A = EQ
fooCompare A B = LT
fooCompare B B = GT
fooCompare B A = EQ
instance MyOrd Foo where
mycompare = fooCompare
data Foo2 = F | G
instance Eq Foo2 where
(==) F F = True
(==) G G = True
(==) F G = False
(==) G F = False
type ASym0 :: Foo
type family ASym0 :: Foo where
ASym0 = A
type BSym0 :: Foo
type family BSym0 :: Foo where
BSym0 = B
type FSym0 :: Foo2
type family FSym0 :: Foo2 where
FSym0 = F
type GSym0 :: Foo2
type family GSym0 :: Foo2 where
GSym0 = G
type FooCompareSym0 :: (~>) Foo ((~>) Foo Ordering)
data FooCompareSym0 :: (~>) Foo ((~>) Foo Ordering)
where
FooCompareSym0KindInference :: SameKind (Apply FooCompareSym0 arg) (FooCompareSym1 arg) =>
FooCompareSym0 a0123456789876543210
type instance Apply @Foo @((~>) Foo Ordering) FooCompareSym0 a0123456789876543210 = FooCompareSym1 a0123456789876543210
instance SuppressUnusedWarnings FooCompareSym0 where
suppressUnusedWarnings = snd ((,) FooCompareSym0KindInference ())
type FooCompareSym1 :: Foo -> (~>) Foo Ordering
data FooCompareSym1 (a0123456789876543210 :: Foo) :: (~>) Foo Ordering
where
FooCompareSym1KindInference :: SameKind (Apply (FooCompareSym1 a0123456789876543210) arg) (FooCompareSym2 a0123456789876543210 arg) =>
FooCompareSym1 a0123456789876543210 a0123456789876543210
type instance Apply @Foo @Ordering (FooCompareSym1 a0123456789876543210) a0123456789876543210 = FooCompare a0123456789876543210 a0123456789876543210
instance SuppressUnusedWarnings (FooCompareSym1 a0123456789876543210) where
suppressUnusedWarnings = snd ((,) FooCompareSym1KindInference ())
type FooCompareSym2 :: Foo -> Foo -> Ordering
type family FooCompareSym2 (a0123456789876543210 :: Foo) (a0123456789876543210 :: Foo) :: Ordering where
FooCompareSym2 a0123456789876543210 a0123456789876543210 = FooCompare a0123456789876543210 a0123456789876543210
type ConstSym0 :: (~>) a ((~>) b a)
data ConstSym0 :: (~>) a ((~>) b a)
where
ConstSym0KindInference :: SameKind (Apply ConstSym0 arg) (ConstSym1 arg) =>
ConstSym0 a0123456789876543210
type instance Apply @a @((~>) b a) ConstSym0 a0123456789876543210 = ConstSym1 a0123456789876543210
instance SuppressUnusedWarnings ConstSym0 where
suppressUnusedWarnings = snd ((,) ConstSym0KindInference ())
type ConstSym1 :: a -> (~>) b a
data ConstSym1 (a0123456789876543210 :: a) :: (~>) b a
where
ConstSym1KindInference :: SameKind (Apply (ConstSym1 a0123456789876543210) arg) (ConstSym2 a0123456789876543210 arg) =>
ConstSym1 a0123456789876543210 a0123456789876543210
type instance Apply @b @a (ConstSym1 a0123456789876543210) a0123456789876543210 = Const a0123456789876543210 a0123456789876543210
instance SuppressUnusedWarnings (ConstSym1 a0123456789876543210) where
suppressUnusedWarnings = snd ((,) ConstSym1KindInference ())
type ConstSym2 :: a -> b -> a
type family ConstSym2 @a @b (a0123456789876543210 :: a) (a0123456789876543210 :: b) :: a where
ConstSym2 a0123456789876543210 a0123456789876543210 = Const a0123456789876543210 a0123456789876543210
type FooCompare :: Foo -> Foo -> Ordering
type family FooCompare (a :: Foo) (a :: Foo) :: Ordering where
FooCompare A A = EQSym0
FooCompare A B = LTSym0
FooCompare B B = GTSym0
FooCompare B A = EQSym0
type Const :: a -> b -> a
type family Const @a @b (a :: a) (a :: b) :: a where
Const x _ = x
type MycompareSym0 :: forall a. (~>) a ((~>) a Ordering)
data MycompareSym0 :: (~>) a ((~>) a Ordering)
where
MycompareSym0KindInference :: SameKind (Apply MycompareSym0 arg) (MycompareSym1 arg) =>
MycompareSym0 a0123456789876543210
type instance Apply @a @((~>) a Ordering) MycompareSym0 a0123456789876543210 = MycompareSym1 a0123456789876543210
instance SuppressUnusedWarnings MycompareSym0 where
suppressUnusedWarnings = snd ((,) MycompareSym0KindInference ())
type MycompareSym1 :: forall a. a -> (~>) a Ordering
data MycompareSym1 (a0123456789876543210 :: a) :: (~>) a Ordering
where
MycompareSym1KindInference :: SameKind (Apply (MycompareSym1 a0123456789876543210) arg) (MycompareSym2 a0123456789876543210 arg) =>
MycompareSym1 a0123456789876543210 a0123456789876543210
type instance Apply @a @Ordering (MycompareSym1 a0123456789876543210) a0123456789876543210 = Mycompare a0123456789876543210 a0123456789876543210
instance SuppressUnusedWarnings (MycompareSym1 a0123456789876543210) where
suppressUnusedWarnings = snd ((,) MycompareSym1KindInference ())
type MycompareSym2 :: forall a. a -> a -> Ordering
type family MycompareSym2 @a (a0123456789876543210 :: a) (a0123456789876543210 :: a) :: Ordering where
MycompareSym2 a0123456789876543210 a0123456789876543210 = Mycompare a0123456789876543210 a0123456789876543210
type (<=>@#@$) :: forall a. (~>) a ((~>) a Ordering)
data (<=>@#@$) :: (~>) a ((~>) a Ordering)
where
(:<=>@#@$###) :: SameKind (Apply (<=>@#@$) arg) ((<=>@#@$$) arg) =>
(<=>@#@$) a0123456789876543210
type instance Apply @a @((~>) a Ordering) (<=>@#@$) a0123456789876543210 = (<=>@#@$$) a0123456789876543210
instance SuppressUnusedWarnings (<=>@#@$) where
suppressUnusedWarnings = snd ((,) (:<=>@#@$###) ())
infix 4 type <=>@#@$
type (<=>@#@$$) :: forall a. a -> (~>) a Ordering
data (<=>@#@$$) (a0123456789876543210 :: a) :: (~>) a Ordering
where
(:<=>@#@$$###) :: SameKind (Apply ((<=>@#@$$) a0123456789876543210) arg) ((<=>@#@$$$) a0123456789876543210 arg) =>
(<=>@#@$$) a0123456789876543210 a0123456789876543210
type instance Apply @a @Ordering ((<=>@#@$$) a0123456789876543210) a0123456789876543210 = (<=>) a0123456789876543210 a0123456789876543210
instance SuppressUnusedWarnings ((<=>@#@$$) a0123456789876543210) where
suppressUnusedWarnings = snd ((,) (:<=>@#@$$###) ())
infix 4 type <=>@#@$$
type (<=>@#@$$$) :: forall a. a -> a -> Ordering
type family (<=>@#@$$$) @a (a0123456789876543210 :: a) (a0123456789876543210 :: a) :: Ordering where
(<=>@#@$$$) a0123456789876543210 a0123456789876543210 = (<=>) a0123456789876543210 a0123456789876543210
infix 4 type <=>@#@$$$
type TFHelper_0123456789876543210 :: forall a. a -> a -> Ordering
type family TFHelper_0123456789876543210 @a (a :: a) (a :: a) :: Ordering where
TFHelper_0123456789876543210 @a (a_0123456789876543210 :: a) (a_0123456789876543210 :: a) = Apply (Apply MycompareSym0 a_0123456789876543210) a_0123456789876543210
class PMyOrd a where
type family Mycompare (arg :: a) (arg :: a) :: Ordering
type family (<=>) (arg :: a) (arg :: a) :: Ordering
type (<=>) a a = TFHelper_0123456789876543210 a a
type Mycompare_0123456789876543210 :: Nat -> Nat -> Ordering
type family Mycompare_0123456789876543210 (a :: Nat) (a :: Nat) :: Ordering where
Mycompare_0123456789876543210 'Zero 'Zero = EQSym0
Mycompare_0123456789876543210 'Zero ('Succ _) = LTSym0
Mycompare_0123456789876543210 ('Succ _) 'Zero = GTSym0
Mycompare_0123456789876543210 ('Succ n) ('Succ m) = Apply (Apply MycompareSym0 m) n
instance PMyOrd Nat where
type Mycompare a a = Mycompare_0123456789876543210 a a
type Mycompare_0123456789876543210 :: () -> () -> Ordering
type family Mycompare_0123456789876543210 (a :: ()) (a :: ()) :: Ordering where
Mycompare_0123456789876543210 _ a_0123456789876543210 = Apply (Apply ConstSym0 EQSym0) a_0123456789876543210
instance PMyOrd () where
type Mycompare a a = Mycompare_0123456789876543210 a a
type Mycompare_0123456789876543210 :: Foo -> Foo -> Ordering
type family Mycompare_0123456789876543210 (a :: Foo) (a :: Foo) :: Ordering where
Mycompare_0123456789876543210 a_0123456789876543210 a_0123456789876543210 = Apply (Apply FooCompareSym0 a_0123456789876543210) a_0123456789876543210
instance PMyOrd Foo where
type Mycompare a a = Mycompare_0123456789876543210 a a
type TFHelper_0123456789876543210 :: Foo2 -> Foo2 -> Bool
type family TFHelper_0123456789876543210 (a :: Foo2) (a :: Foo2) :: Bool where
TFHelper_0123456789876543210 F F = TrueSym0
TFHelper_0123456789876543210 G G = TrueSym0
TFHelper_0123456789876543210 F G = FalseSym0
TFHelper_0123456789876543210 G F = FalseSym0
instance PEq Foo2 where
type (==) a a = TFHelper_0123456789876543210 a a
sFooCompare ::
(forall (t :: Foo) (t :: Foo).
Sing t -> Sing t -> Sing (FooCompare t t :: Ordering) :: Type)
sConst ::
(forall (t :: a) (t :: b).
Sing t -> Sing t -> Sing (Const t t :: a) :: Type)
sFooCompare SA SA = SEQ
sFooCompare SA SB = SLT
sFooCompare SB SB = SGT
sFooCompare SB SA = SEQ
sConst (sX :: Sing x) _ = sX
instance SingI (FooCompareSym0 :: (~>) Foo ((~>) Foo Ordering)) where
sing = singFun2 @FooCompareSym0 sFooCompare
instance SingI d =>
SingI (FooCompareSym1 (d :: Foo) :: (~>) Foo Ordering) where
sing
= singFun1 @(FooCompareSym1 (d :: Foo)) (sFooCompare (sing @d))
instance SingI1 (FooCompareSym1 :: Foo -> (~>) Foo Ordering) where
liftSing (s :: Sing (d :: Foo))
= singFun1 @(FooCompareSym1 (d :: Foo)) (sFooCompare s)
instance SingI (ConstSym0 :: (~>) a ((~>) b a)) where
sing = singFun2 @ConstSym0 sConst
instance SingI d => SingI (ConstSym1 (d :: a) :: (~>) b a) where
sing = singFun1 @(ConstSym1 (d :: a)) (sConst (sing @d))
instance SingI1 (ConstSym1 :: a -> (~>) b a) where
liftSing (s :: Sing (d :: a))
= singFun1 @(ConstSym1 (d :: a)) (sConst s)
data SFoo :: Foo -> Type
where
SA :: SFoo (A :: Foo)
SB :: SFoo (B :: Foo)
type instance Sing @Foo = SFoo
instance SingKind Foo where
type Demote Foo = Foo
fromSing SA = A
fromSing SB = B
toSing A = SomeSing SA
toSing B = SomeSing SB
data SFoo2 :: Foo2 -> Type
where
SF :: SFoo2 (F :: Foo2)
SG :: SFoo2 (G :: Foo2)
type instance Sing @Foo2 = SFoo2
instance SingKind Foo2 where
type Demote Foo2 = Foo2
fromSing SF = F
fromSing SG = G
toSing F = SomeSing SF
toSing G = SomeSing SG
class SMyOrd a where
sMycompare ::
(forall (t :: a) (t :: a).
Sing t -> Sing t -> Sing (Mycompare t t :: Ordering) :: Type)
(%<=>) ::
(forall (t :: a) (t :: a).
Sing t -> Sing t -> Sing ((<=>) t t :: Ordering) :: Type)
infix 4 data %<=>
default (%<=>) ::
(forall (t :: a) (t :: a).
(((<=>) t t :: Ordering) ~ TFHelper_0123456789876543210 t t) =>
Sing t -> Sing t -> Sing ((<=>) t t :: Ordering) :: Type)
(%<=>)
(sA_0123456789876543210 :: Sing a_0123456789876543210)
(sA_0123456789876543210 :: Sing a_0123456789876543210)
= applySing
(applySing
(singFun2 @MycompareSym0 sMycompare) sA_0123456789876543210)
sA_0123456789876543210
instance SMyOrd Nat where
sMycompare SZero SZero = SEQ
sMycompare SZero (SSucc _) = SLT
sMycompare (SSucc _) SZero = SGT
sMycompare (SSucc (sN :: Sing n)) (SSucc (sM :: Sing m))
= applySing (applySing (singFun2 @MycompareSym0 sMycompare) sM) sN
instance SMyOrd () where
sMycompare _ (sA_0123456789876543210 :: Sing a_0123456789876543210)
= applySing
(applySing (singFun2 @ConstSym0 sConst) SEQ) sA_0123456789876543210
instance SMyOrd Foo where
sMycompare
(sA_0123456789876543210 :: Sing a_0123456789876543210)
(sA_0123456789876543210 :: Sing a_0123456789876543210)
= applySing
(applySing
(singFun2 @FooCompareSym0 sFooCompare) sA_0123456789876543210)
sA_0123456789876543210
instance SEq Foo2 where
(%==) SF SF = STrue
(%==) SG SG = STrue
(%==) SF SG = SFalse
(%==) SG SF = SFalse
instance SingI A where
sing = SA
instance SingI B where
sing = SB
instance SingI F where
sing = SF
instance SingI G where
sing = SG
instance SMyOrd a =>
SingI (MycompareSym0 :: (~>) a ((~>) a Ordering)) where
sing = singFun2 @MycompareSym0 sMycompare
instance (SMyOrd a, SingI d) =>
SingI (MycompareSym1 (d :: a) :: (~>) a Ordering) where
sing = singFun1 @(MycompareSym1 (d :: a)) (sMycompare (sing @d))
instance SMyOrd a =>
SingI1 (MycompareSym1 :: a -> (~>) a Ordering) where
liftSing (s :: Sing (d :: a))
= singFun1 @(MycompareSym1 (d :: a)) (sMycompare s)
instance SMyOrd a =>
SingI ((<=>@#@$) :: (~>) a ((~>) a Ordering)) where
sing = singFun2 @(<=>@#@$) (%<=>)
instance (SMyOrd a, SingI d) =>
SingI ((<=>@#@$$) (d :: a) :: (~>) a Ordering) where
sing = singFun1 @((<=>@#@$$) (d :: a)) ((%<=>) (sing @d))
instance SMyOrd a =>
SingI1 ((<=>@#@$$) :: a -> (~>) a Ordering) where
liftSing (s :: Sing (d :: a))
= singFun1 @((<=>@#@$$) (d :: a)) ((%<=>) s)
Singletons/Classes.hs:(0,0)-(0,0): Splicing declarations
promote
[d| instance Ord Foo2 where
F `compare` F = EQ
F `compare` _ = LT
_ `compare` _ = GT
instance MyOrd Foo2 where
F `mycompare` F = EQ
F `mycompare` _ = LT
_ `mycompare` _ = GT |]
======>
instance MyOrd Foo2 where
mycompare F F = EQ
mycompare F _ = LT
mycompare _ _ = GT
instance Ord Foo2 where
compare F F = EQ
compare F _ = LT
compare _ _ = GT
type Mycompare_0123456789876543210 :: Foo2 -> Foo2 -> Ordering
type family Mycompare_0123456789876543210 (a :: Foo2) (a :: Foo2) :: Ordering where
Mycompare_0123456789876543210 'F 'F = EQSym0
Mycompare_0123456789876543210 'F _ = LTSym0
Mycompare_0123456789876543210 _ _ = GTSym0
instance PMyOrd Foo2 where
type Mycompare a a = Mycompare_0123456789876543210 a a
type Compare_0123456789876543210 :: Foo2 -> Foo2 -> Ordering
type family Compare_0123456789876543210 (a :: Foo2) (a :: Foo2) :: Ordering where
Compare_0123456789876543210 'F 'F = EQSym0
Compare_0123456789876543210 'F _ = LTSym0
Compare_0123456789876543210 _ _ = GTSym0
instance POrd Foo2 where
type Compare a a = Compare_0123456789876543210 a a
Singletons/Classes.hs:(0,0)-(0,0): Splicing declarations
singletons
[d| data Nat' = Zero' | Succ' Nat'
instance MyOrd Nat' where
Zero' `mycompare` Zero' = EQ
Zero' `mycompare` (Succ' _) = LT
(Succ' _) `mycompare` Zero' = GT
(Succ' n) `mycompare` (Succ' m) = m `mycompare` n |]
======>
data Nat' = Zero' | Succ' Nat'
instance MyOrd Nat' where
mycompare Zero' Zero' = EQ
mycompare Zero' (Succ' _) = LT
mycompare (Succ' _) Zero' = GT
mycompare (Succ' n) (Succ' m) = (m `mycompare` n)
type Zero'Sym0 :: Nat'
type family Zero'Sym0 :: Nat' where
Zero'Sym0 = Zero'
type Succ'Sym0 :: (~>) Nat' Nat'
data Succ'Sym0 :: (~>) Nat' Nat'
where
Succ'Sym0KindInference :: SameKind (Apply Succ'Sym0 arg) (Succ'Sym1 arg) =>
Succ'Sym0 a0123456789876543210
type instance Apply @Nat' @Nat' Succ'Sym0 a0123456789876543210 = Succ' a0123456789876543210
instance SuppressUnusedWarnings Succ'Sym0 where
suppressUnusedWarnings = snd ((,) Succ'Sym0KindInference ())
type Succ'Sym1 :: Nat' -> Nat'
type family Succ'Sym1 (a0123456789876543210 :: Nat') :: Nat' where
Succ'Sym1 a0123456789876543210 = Succ' a0123456789876543210
type Mycompare_0123456789876543210 :: Nat' -> Nat' -> Ordering
type family Mycompare_0123456789876543210 (a :: Nat') (a :: Nat') :: Ordering where
Mycompare_0123456789876543210 Zero' Zero' = EQSym0
Mycompare_0123456789876543210 Zero' (Succ' _) = LTSym0
Mycompare_0123456789876543210 (Succ' _) Zero' = GTSym0
Mycompare_0123456789876543210 (Succ' n) (Succ' m) = Apply (Apply MycompareSym0 m) n
instance PMyOrd Nat' where
type Mycompare a a = Mycompare_0123456789876543210 a a
data SNat' :: Nat' -> Type
where
SZero' :: SNat' (Zero' :: Nat')
SSucc' :: forall (n :: Nat'). (Sing n) -> SNat' (Succ' n :: Nat')
type instance Sing @Nat' = SNat'
instance SingKind Nat' where
type Demote Nat' = Nat'
fromSing SZero' = Zero'
fromSing (SSucc' b) = Succ' (fromSing b)
toSing Zero' = SomeSing SZero'
toSing (Succ' (b :: Demote Nat'))
= (\cases (SomeSing c) -> SomeSing (SSucc' c))
(toSing b :: SomeSing Nat')
instance SMyOrd Nat' where
sMycompare SZero' SZero' = SEQ
sMycompare SZero' (SSucc' _) = SLT
sMycompare (SSucc' _) SZero' = SGT
sMycompare (SSucc' (sN :: Sing n)) (SSucc' (sM :: Sing m))
= applySing (applySing (singFun2 @MycompareSym0 sMycompare) sM) sN
instance SingI Zero' where
sing = SZero'
instance SingI n => SingI (Succ' (n :: Nat')) where
sing = SSucc' sing
instance SingI1 Succ' where
liftSing = SSucc'
instance SingI (Succ'Sym0 :: (~>) Nat' Nat') where
sing = singFun1 @Succ'Sym0 SSucc'