module Exinst.Instances.Base () where
import Data.Constraint
import Data.Singletons
import Data.Singletons.Decide
import Data.Singletons.Types
import Exinst.Singletons
import Prelude
data Some1'Show r1 x = Some1 r1 x deriving (Show)
data Some2'Show r2 r1 x = Some2 r2 r1 x deriving (Show)
data Some3'Show r3 r2 r1 x = Some3 r3 r2 r1 x deriving (Show)
data Some4'Show r4 r3 r2 r1 x = Some4 r4 r3 r2 r1 x deriving (Show)
instance forall (f1 :: k1 -> *)
. ( SingKind ('KProxy :: KProxy k1)
, Show (DemoteRep ('KProxy :: KProxy k1))
, Dict1 Show f1
) => Show (Some1 f1)
where
showsPrec n = \some1x -> withSome1Sing some1x $ \sa1 (x :: f1 a1) ->
case dict1 sa1 :: Dict (Show (f1 a1)) of
Dict -> showsPrec n (Some1 (fromSing sa1) x)
instance forall (f2 :: k2 -> k1 -> *)
. ( SingKind ('KProxy :: KProxy k2)
, SingKind ('KProxy :: KProxy k1)
, Show (DemoteRep ('KProxy :: KProxy k2))
, Show (DemoteRep ('KProxy :: KProxy k1))
, Dict2 Show f2
) => Show (Some2 f2)
where
showsPrec n = \some2x -> withSome2Sing some2x $ \sa2 sa1 (x :: f2 a2 a1) ->
case dict2 sa2 sa1 :: Dict (Show (f2 a2 a1)) of
Dict -> showsPrec n (Some2 (fromSing sa2) (fromSing sa1) x)
instance forall (f3 :: k3 -> k2 -> k1 -> *)
. ( SingKind ('KProxy :: KProxy k3)
, SingKind ('KProxy :: KProxy k2)
, SingKind ('KProxy :: KProxy k1)
, Show (DemoteRep ('KProxy :: KProxy k3))
, Show (DemoteRep ('KProxy :: KProxy k2))
, Show (DemoteRep ('KProxy :: KProxy k1))
, Dict3 Show f3
) => Show (Some3 f3)
where
showsPrec n = \some3x -> withSome3Sing some3x $ \sa3 sa2 sa1 (x :: f3 a3 a2 a1) ->
case dict3 sa3 sa2 sa1 :: Dict (Show (f3 a3 a2 a1)) of
Dict -> showsPrec n (Some3 (fromSing sa3) (fromSing sa2) (fromSing sa1) x)
instance forall (f4 :: k4 -> k3 -> k2 -> k1 -> *)
. ( SingKind ('KProxy :: KProxy k4)
, SingKind ('KProxy :: KProxy k3)
, SingKind ('KProxy :: KProxy k2)
, SingKind ('KProxy :: KProxy k1)
, Show (DemoteRep ('KProxy :: KProxy k4))
, Show (DemoteRep ('KProxy :: KProxy k3))
, Show (DemoteRep ('KProxy :: KProxy k2))
, Show (DemoteRep ('KProxy :: KProxy k1))
, Dict4 Show f4
) => Show (Some4 f4)
where
showsPrec n = \some4x -> withSome4Sing some4x $ \sa4 sa3 sa2 sa1 (x :: f4 a4 a3 a2 a1) ->
case dict4 sa4 sa3 sa2 sa1 :: Dict (Show (f4 a4 a3 a2 a1)) of
Dict -> showsPrec n (Some4 (fromSing sa4) (fromSing sa3)
(fromSing sa2) (fromSing sa1) x)
instance forall (f1 :: k1 -> *)
. ( SingKind ('KProxy :: KProxy k1)
, SDecide ('KProxy :: KProxy k1)
, Dict1 Eq f1
) => Eq (Some1 f1)
where
(==) = \som1x som1y ->
withSome1Sing som1x $ \sa1x (x :: f1 a1x) ->
withSome1Sing som1y $ \sa1y (y :: f1 a1y) ->
maybe False id $ do
Refl <- testEquality sa1x sa1y
case dict1 sa1x :: Dict (Eq (f1 a1x)) of
Dict -> Just (x == y)
instance forall (f2 :: k2 -> k1 -> *)
. ( SingKind ('KProxy :: KProxy k2)
, SingKind ('KProxy :: KProxy k1)
, SDecide ('KProxy :: KProxy k2)
, SDecide ('KProxy :: KProxy k1)
, Dict2 Eq f2
) => Eq (Some2 f2)
where
(==) = \som2x som2y ->
withSome2Sing som2x $ \sa2x sa1x (x :: f2 a2x a1x) ->
withSome2Sing som2y $ \sa2y sa1y (y :: f2 a2y a1y) ->
maybe False id $ do
Refl <- testEquality sa2x sa2y
Refl <- testEquality sa1x sa1y
case dict2 sa2x sa1x :: Dict (Eq (f2 a2x a1x)) of
Dict -> Just (x == y)
instance forall (f3 :: k3 -> k2 -> k1 -> *)
. ( SingKind ('KProxy :: KProxy k3)
, SingKind ('KProxy :: KProxy k2)
, SingKind ('KProxy :: KProxy k1)
, SDecide ('KProxy :: KProxy k3)
, SDecide ('KProxy :: KProxy k2)
, SDecide ('KProxy :: KProxy k1)
, Dict3 Eq f3
) => Eq (Some3 f3)
where
(==) = \som3x som3y ->
withSome3Sing som3x $ \sa3x sa2x sa1x (x :: f3 a3x a2x a1x) ->
withSome3Sing som3y $ \sa3y sa2y sa1y (y :: f3 a3y a2y a1y) ->
maybe False id $ do
Refl <- testEquality sa3x sa3y
Refl <- testEquality sa2x sa2y
Refl <- testEquality sa1x sa1y
case dict3 sa3x sa2x sa1x :: Dict (Eq (f3 a3x a2x a1x)) of
Dict -> Just (x == y)
instance forall (f4 :: k4 -> k3 -> k2 -> k1 -> *)
. ( SingKind ('KProxy :: KProxy k4)
, SingKind ('KProxy :: KProxy k3)
, SingKind ('KProxy :: KProxy k2)
, SingKind ('KProxy :: KProxy k1)
, SDecide ('KProxy :: KProxy k4)
, SDecide ('KProxy :: KProxy k3)
, SDecide ('KProxy :: KProxy k2)
, SDecide ('KProxy :: KProxy k1)
, Dict4 Eq f4
) => Eq (Some4 f4)
where
(==) = \som4x som4y ->
withSome4Sing som4x $ \sa4x sa3x sa2x sa1x (x :: f4 a4x a3x a2x a1x) ->
withSome4Sing som4y $ \sa4y sa3y sa2y sa1y (y :: f4 a4y a3y a2y a1y) ->
maybe False id $ do
Refl <- testEquality sa4x sa4y
Refl <- testEquality sa3x sa3y
Refl <- testEquality sa2x sa2y
Refl <- testEquality sa1x sa1y
case dict4 sa4x sa3x sa2x sa1x :: Dict (Eq (f4 a4x a3x a2x a1x)) of
Dict -> Just (x == y)
instance forall (f1 :: k1 -> *)
. ( SingKind ('KProxy :: KProxy k1)
, SDecide ('KProxy :: KProxy k1)
, Ord (DemoteRep ('KProxy :: KProxy k1))
, Dict1 Ord f1
, Eq (Some1 f1)
) => Ord (Some1 f1)
where
compare = \som1x som1y ->
withSome1Sing som1x $ \sa1x (x :: f1 a1x) ->
withSome1Sing som1y $ \sa1y (y :: f1 a1y) ->
let termCompare = compare (fromSing sa1x) (fromSing sa1y)
in maybe termCompare id $ do
Refl <- testEquality sa1x sa1y
case dict1 sa1x :: Dict (Ord (f1 a1x)) of
Dict -> Just (compare x y)
instance forall (f2 :: k2 -> k1 -> *)
. ( SingKind ('KProxy :: KProxy k2)
, SingKind ('KProxy :: KProxy k1)
, SDecide ('KProxy :: KProxy k2)
, SDecide ('KProxy :: KProxy k1)
, Ord (DemoteRep ('KProxy :: KProxy k2))
, Ord (DemoteRep ('KProxy :: KProxy k1))
, Dict2 Ord f2
, Eq (Some2 f2)
) => Ord (Some2 f2)
where
compare = \som2x som2y ->
withSome2Sing som2x $ \sa2x sa1x (x :: f2 a2x a1x) ->
withSome2Sing som2y $ \sa2y sa1y (y :: f2 a2y a1y) ->
let termCompare = compare (fromSing sa2x, fromSing sa1x)
(fromSing sa2y, fromSing sa1y)
in maybe termCompare id $ do
Refl <- testEquality sa2x sa2y
Refl <- testEquality sa1x sa1y
case dict2 sa2x sa1x :: Dict (Ord (f2 a2x a1x)) of
Dict -> Just (compare x y)
instance forall (f3 :: k3 -> k2 -> k1 -> *)
. ( SingKind ('KProxy :: KProxy k3)
, SingKind ('KProxy :: KProxy k2)
, SingKind ('KProxy :: KProxy k1)
, SDecide ('KProxy :: KProxy k3)
, SDecide ('KProxy :: KProxy k2)
, SDecide ('KProxy :: KProxy k1)
, Ord (DemoteRep ('KProxy :: KProxy k3))
, Ord (DemoteRep ('KProxy :: KProxy k2))
, Ord (DemoteRep ('KProxy :: KProxy k1))
, Dict3 Ord f3
, Eq (Some3 f3)
) => Ord (Some3 f3)
where
compare = \som3x som3y ->
withSome3Sing som3x $ \sa3x sa2x sa1x (x :: f3 a3x a2x a1x) ->
withSome3Sing som3y $ \sa3y sa2y sa1y (y :: f3 a3y a2y a1y) ->
let termCompare = compare
(fromSing sa3x, fromSing sa2x, fromSing sa1x)
(fromSing sa3y, fromSing sa2y, fromSing sa1y)
in maybe termCompare id $ do
Refl <- testEquality sa3x sa3y
Refl <- testEquality sa2x sa2y
Refl <- testEquality sa1x sa1y
case dict3 sa3x sa2x sa1x :: Dict (Ord (f3 a3x a2x a1x)) of
Dict -> Just (compare x y)
instance forall (f4 :: k4 -> k3 -> k2 -> k1 -> *)
. ( SingKind ('KProxy :: KProxy k4)
, SingKind ('KProxy :: KProxy k3)
, SingKind ('KProxy :: KProxy k2)
, SingKind ('KProxy :: KProxy k1)
, SDecide ('KProxy :: KProxy k4)
, SDecide ('KProxy :: KProxy k3)
, SDecide ('KProxy :: KProxy k2)
, SDecide ('KProxy :: KProxy k1)
, Ord (DemoteRep ('KProxy :: KProxy k4))
, Ord (DemoteRep ('KProxy :: KProxy k3))
, Ord (DemoteRep ('KProxy :: KProxy k2))
, Ord (DemoteRep ('KProxy :: KProxy k1))
, Dict4 Ord f4
, Eq (Some4 f4)
) => Ord (Some4 f4)
where
compare = \som4x som4y ->
withSome4Sing som4x $ \sa4x sa3x sa2x sa1x (x :: f4 a4x a3x a2x a1x) ->
withSome4Sing som4y $ \sa4y sa3y sa2y sa1y (y :: f4 a4y a3y a2y a1y) ->
let termCompare = compare
(fromSing sa4x, fromSing sa3x, fromSing sa2x, fromSing sa1x)
(fromSing sa4y, fromSing sa3y, fromSing sa2y, fromSing sa1y)
in maybe termCompare id $ do
Refl <- testEquality sa4x sa4y
Refl <- testEquality sa3x sa3y
Refl <- testEquality sa2x sa2y
Refl <- testEquality sa1x sa1y
case dict4 sa4x sa3x sa2x sa1x :: Dict (Ord (f4 a4x a3x a2x a1x)) of
Dict -> Just (compare x y)