module Data.Type.Witness.Specific.OrderedWitnessMap.Of where
import Data.Type.Witness.General.Order
import Data.Type.Witness.Specific.OrderedWitnessMap.For
import Data.Type.Witness.Specific.Some
import Import
type OrderedWitnessMapOf :: (Type -> Type) -> Type
type OrderedWitnessMapOf = OrderedWitnessMapFor Identity
emptyOrderedWitnessMapOf :: TestOrder w => OrderedWitnessMapOf w
emptyOrderedWitnessMapOf :: forall (w :: Type -> Type). TestOrder w => OrderedWitnessMapOf w
emptyOrderedWitnessMapOf = forall {k} (w :: k -> Type) (f :: k -> Type).
TestOrder w =>
OrderedWitnessMapFor f w
emptyOrderedWitnessMapFor
orderedWitnessMapOfLookup :: TestOrder w => w a -> OrderedWitnessMapOf w -> Maybe a
orderedWitnessMapOfLookup :: forall (w :: Type -> Type) a.
TestOrder w =>
w a -> OrderedWitnessMapOf w -> Maybe a
orderedWitnessMapOfLookup w a
wit OrderedWitnessMapOf w
d = forall (f :: Type -> Type) a b. Functor f => (a -> b) -> f a -> f b
fmap forall a. Identity a -> a
runIdentity forall a b. (a -> b) -> a -> b
$ forall {k} (w :: k -> Type) (a :: k) (f :: k -> Type).
TestOrder w =>
w a -> OrderedWitnessMapFor f w -> Maybe (f a)
orderedWitnessMapForLookup w a
wit OrderedWitnessMapOf w
d
orderedWitnessMapOfModify :: TestOrder w => w a -> (a -> a) -> OrderedWitnessMapOf w -> OrderedWitnessMapOf w
orderedWitnessMapOfModify :: forall (w :: Type -> Type) a.
TestOrder w =>
w a -> (a -> a) -> OrderedWitnessMapOf w -> OrderedWitnessMapOf w
orderedWitnessMapOfModify w a
wit a -> a
amap = forall {k} (f :: k -> Type) (w :: k -> Type) (a :: k).
TestOrder w =>
w a
-> (f a -> f a)
-> OrderedWitnessMapFor f w
-> OrderedWitnessMapFor f w
orderedWitnessMapForModify w a
wit (forall a. a -> Identity a
Identity forall {k} (cat :: k -> k -> Type) (b :: k) (c :: k) (a :: k).
Category cat =>
cat b c -> cat a b -> cat a c
. a -> a
amap forall {k} (cat :: k -> k -> Type) (b :: k) (c :: k) (a :: k).
Category cat =>
cat b c -> cat a b -> cat a c
. forall a. Identity a -> a
runIdentity)
orderedWitnessMapOfReplace :: TestOrder w => w a -> a -> OrderedWitnessMapOf w -> OrderedWitnessMapOf w
orderedWitnessMapOfReplace :: forall (w :: Type -> Type) a.
TestOrder w =>
w a -> a -> OrderedWitnessMapOf w -> OrderedWitnessMapOf w
orderedWitnessMapOfReplace w a
wit a
newa = forall (w :: Type -> Type) a.
TestOrder w =>
w a -> (a -> a) -> OrderedWitnessMapOf w -> OrderedWitnessMapOf w
orderedWitnessMapOfModify w a
wit forall a b. (a -> b) -> a -> b
$ forall a b. a -> b -> a
const a
newa
orderedWitnessMapOfSingle :: w a -> a -> OrderedWitnessMapOf w
orderedWitnessMapOfSingle :: forall (w :: Type -> Type) a. w a -> a -> OrderedWitnessMapOf w
orderedWitnessMapOfSingle w a
wit a
a = forall {k} (w :: k -> Type) (a :: k) (f :: k -> Type).
w a -> f a -> OrderedWitnessMapFor f w
orderedWitnessMapForSingle w a
wit forall a b. (a -> b) -> a -> b
$ forall a. a -> Identity a
Identity a
a
orderedWitnessMapOfFold :: Monoid m => OrderedWitnessMapOf w -> (forall a. w a -> a -> m) -> m
orderedWitnessMapOfFold :: forall m (w :: Type -> Type).
Monoid m =>
OrderedWitnessMapOf w -> (forall a. w a -> a -> m) -> m
orderedWitnessMapOfFold OrderedWitnessMapOf w
d forall a. w a -> a -> m
f = forall {k} m (f :: k -> Type) (w :: k -> Type).
Monoid m =>
OrderedWitnessMapFor f w -> (forall (a :: k). w a -> f a -> m) -> m
orderedWitnessMapForFold OrderedWitnessMapOf w
d forall a b. (a -> b) -> a -> b
$ \w a
wa (Identity a
a) -> forall a. w a -> a -> m
f w a
wa a
a
orderedWitnessMapOfAdd :: TestOrder w => w a -> a -> OrderedWitnessMapOf w -> OrderedWitnessMapOf w
orderedWitnessMapOfAdd :: forall (w :: Type -> Type) a.
TestOrder w =>
w a -> a -> OrderedWitnessMapOf w -> OrderedWitnessMapOf w
orderedWitnessMapOfAdd w a
wit a
a = forall {k} (w :: k -> Type) (a :: k) (f :: k -> Type).
TestOrder w =>
w a -> f a -> OrderedWitnessMapFor f w -> OrderedWitnessMapFor f w
orderedWitnessMapForAdd w a
wit forall a b. (a -> b) -> a -> b
$ forall a. a -> Identity a
Identity a
a
orderedWitnessMapOfRemove :: TestOrder w => w a -> OrderedWitnessMapOf w -> OrderedWitnessMapOf w
orderedWitnessMapOfRemove :: forall (w :: Type -> Type) a.
TestOrder w =>
w a -> OrderedWitnessMapOf w -> OrderedWitnessMapOf w
orderedWitnessMapOfRemove = forall {k} (w :: k -> Type) (a :: k) (f :: k -> Type).
TestOrder w =>
w a -> OrderedWitnessMapFor f w -> OrderedWitnessMapFor f w
orderedWitnessMapForRemove
orderedWitnessMapOfFromList :: TestOrder w => [SomeOf w] -> OrderedWitnessMapOf w
orderedWitnessMapOfFromList :: forall (w :: Type -> Type).
TestOrder w =>
[SomeOf w] -> OrderedWitnessMapOf w
orderedWitnessMapOfFromList = forall {k} (w :: k -> Type) (f :: k -> Type).
TestOrder w =>
[SomeFor f w] -> OrderedWitnessMapFor f w
orderedWitnessMapForFromList
orderedWitnessMapOfToList :: OrderedWitnessMapOf w -> [SomeOf w]
orderedWitnessMapOfToList :: forall (w :: Type -> Type). OrderedWitnessMapOf w -> [SomeOf w]
orderedWitnessMapOfToList = forall {k} (f :: k -> Type) (w :: k -> Type).
OrderedWitnessMapFor f w -> [SomeFor f w]
orderedWitnessMapForToList