Safe Haskell	Safe-Inferred
Language	Haskell2010

Data.SOP.BasicFunctors

Contents

Basic functors
Mapping functions

Description

Basic functors.

Definitions of the type-level equivalents of const, id, and (.), and a definition of the lifted function space.

These datatypes are generally useful, but in this library, they're primarily used as parameters for the NP, NS, POP, and SOP types.

We define own variants of Const, Identity and Compose for various reasons.

Const and Compose become kind polymorphic only in base-4.9.0.0 (transformers-0.5.0.0).
Shorter names are convenient, and pattern synonyms aren't (yet) powerful enough, particularly exhaustiveness check doesn't work properly. See https://ghc.haskell.org/trac/ghc/ticket/8779.

Synopsis

newtype K (a :: Type) (b :: k) = K a
unK :: K a b -> a
newtype I (a :: Type) = I a
unI :: I a -> a
newtype ((f :: l -> Type) :.: (g :: k -> l)) (p :: k) = Comp (f (g p))
unComp :: (f :.: g) p -> f (g p)
mapII :: (a -> b) -> I a -> I b
mapIK :: (a -> b) -> I a -> K b c
mapKI :: (a -> b) -> K a c -> I b
mapKK :: (a -> b) -> K a c -> K b d
mapIII :: (a -> b -> c) -> I a -> I b -> I c
mapIIK :: (a -> b -> c) -> I a -> I b -> K c d
mapIKI :: (a -> b -> c) -> I a -> K b d -> I c
mapIKK :: (a -> b -> c) -> I a -> K b d -> K c e
mapKII :: (a -> b -> c) -> K a d -> I b -> I c
mapKIK :: (a -> b -> c) -> K a d -> I b -> K c e
mapKKI :: (a -> b -> c) -> K a d -> K b e -> I c
mapKKK :: (a -> b -> c) -> K a d -> K b e -> K c f

Basic functors

newtype K (a :: Type) (b :: k) Source #

The constant type functor.

Like Constant, but kind-polymorphic in its second argument and with a shorter name.

Constructors

K a

Instances

Instances details

Eq2 (K :: Type -> Type -> Type) Source #	Since: 0.2.4.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> K a c -> K b d -> Bool Source #
Ord2 (K :: Type -> Type -> Type) Source #	Since: 0.2.4.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> K a c -> K b d -> Ordering Source #
Read2 (K :: Type -> Type -> Type) Source #	Since: 0.2.4.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (K a b) Source # liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [K a b] Source # liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (K a b) Source # liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [K a b] Source #
Show2 (K :: Type -> Type -> Type) Source #	Since: 0.2.4.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> K a b -> ShowS Source # liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [K a b] -> ShowS Source #
NFData2 (K :: Type -> Type -> Type) Source #	Since: 0.2.5.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftRnf2 :: (a -> ()) -> (b -> ()) -> K a b -> () Source #
Foldable (K a :: Type -> Type) Source #
Instance details Defined in Data.SOP.BasicFunctors Methods fold :: Monoid m => K a m -> m Source # foldMap :: Monoid m => (a0 -> m) -> K a a0 -> m Source # foldMap' :: Monoid m => (a0 -> m) -> K a a0 -> m Source # foldr :: (a0 -> b -> b) -> b -> K a a0 -> b Source # foldr' :: (a0 -> b -> b) -> b -> K a a0 -> b Source # foldl :: (b -> a0 -> b) -> b -> K a a0 -> b Source # foldl' :: (b -> a0 -> b) -> b -> K a a0 -> b Source # foldr1 :: (a0 -> a0 -> a0) -> K a a0 -> a0 Source # foldl1 :: (a0 -> a0 -> a0) -> K a a0 -> a0 Source # toList :: K a a0 -> [a0] Source # null :: K a a0 -> Bool Source # length :: K a a0 -> Int Source # elem :: Eq a0 => a0 -> K a a0 -> Bool Source # maximum :: Ord a0 => K a a0 -> a0 Source # minimum :: Ord a0 => K a a0 -> a0 Source # sum :: Num a0 => K a a0 -> a0 Source # product :: Num a0 => K a a0 -> a0 Source #
Eq a => Eq1 (K a :: Type -> Type) Source #	Since: 0.2.4.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftEq :: (a0 -> b -> Bool) -> K a a0 -> K a b -> Bool Source #
Ord a => Ord1 (K a :: Type -> Type) Source #	Since: 0.2.4.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftCompare :: (a0 -> b -> Ordering) -> K a a0 -> K a b -> Ordering Source #
Read a => Read1 (K a :: Type -> Type) Source #	Since: 0.2.4.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (K a a0) Source # liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [K a a0] Source # liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (K a a0) Source # liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [K a a0] Source #
Show a => Show1 (K a :: Type -> Type) Source #	Since: 0.2.4.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftShowsPrec :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> Int -> K a a0 -> ShowS Source # liftShowList :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> [K a a0] -> ShowS Source #
Traversable (K a :: Type -> Type) Source #
Instance details Defined in Data.SOP.BasicFunctors Methods traverse :: Applicative f => (a0 -> f b) -> K a a0 -> f (K a b) Source # sequenceA :: Applicative f => K a (f a0) -> f (K a a0) Source # mapM :: Monad m => (a0 -> m b) -> K a a0 -> m (K a b) Source # sequence :: Monad m => K a (m a0) -> m (K a a0) Source #
Monoid a => Applicative (K a :: Type -> Type) Source #
Instance details Defined in Data.SOP.BasicFunctors Methods pure :: a0 -> K a a0 Source # (<>) :: K a (a0 -> b) -> K a a0 -> K a b Source # liftA2 :: (a0 -> b -> c) -> K a a0 -> K a b -> K a c Source # (>) :: K a a0 -> K a b -> K a b Source # (<*) :: K a a0 -> K a b -> K a a0 Source #
Functor (K a :: Type -> Type) Source #
Instance details Defined in Data.SOP.BasicFunctors Methods fmap :: (a0 -> b) -> K a a0 -> K a b Source # (<$) :: a0 -> K a b -> K a a0 Source #
NFData a => NFData1 (K a :: Type -> Type) Source #	Since: 0.2.5.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftRnf :: (a0 -> ()) -> K a a0 -> () Source #
Monoid a => Monoid (K a b) Source #	Since: 0.4.0.0
Instance details Defined in Data.SOP.BasicFunctors Methods mempty :: K a b Source # mappend :: K a b -> K a b -> K a b Source # mconcat :: [K a b] -> K a b Source #
Semigroup a => Semigroup (K a b) Source #	Since: 0.4.0.0
Instance details Defined in Data.SOP.BasicFunctors Methods (<>) :: K a b -> K a b -> K a b Source # sconcat :: NonEmpty (K a b) -> K a b Source # stimes :: Integral b0 => b0 -> K a b -> K a b Source #
Generic (K a b) Source #
Instance details Defined in Data.SOP.BasicFunctors Associated Types type Rep (K a b) :: Type -> Type Source # Methods from :: K a b -> Rep (K a b) x Source # to :: Rep (K a b) x -> K a b Source #
Read a => Read (K a b) Source #
Instance details Defined in Data.SOP.BasicFunctors Methods readsPrec :: Int -> ReadS (K a b) Source # readList :: ReadS [K a b] Source # readPrec :: ReadPrec (K a b) Source # readListPrec :: ReadPrec [K a b] Source #
Show a => Show (K a b) Source #
Instance details Defined in Data.SOP.BasicFunctors Methods showsPrec :: Int -> K a b -> ShowS Source # show :: K a b -> String Source # showList :: [K a b] -> ShowS Source #
NFData a => NFData (K a b) Source #	Since: 0.2.5.0
Instance details Defined in Data.SOP.BasicFunctors Methods rnf :: K a b -> () Source #
Eq a => Eq (K a b) Source #
Instance details Defined in Data.SOP.BasicFunctors Methods (==) :: K a b -> K a b -> Bool Source # (/=) :: K a b -> K a b -> Bool Source #
Ord a => Ord (K a b) Source #
Instance details Defined in Data.SOP.BasicFunctors Methods compare :: K a b -> K a b -> Ordering Source # (<) :: K a b -> K a b -> Bool Source # (<=) :: K a b -> K a b -> Bool Source # (>) :: K a b -> K a b -> Bool Source # (>=) :: K a b -> K a b -> Bool Source # max :: K a b -> K a b -> K a b Source # min :: K a b -> K a b -> K a b Source #
type Rep (K a b) Source #
Instance details Defined in Data.SOP.BasicFunctors type Rep (K a b) = D1 ('MetaData "K" "Data.SOP.BasicFunctors" "sop-core-0.5.0.2-1KOi1hjK2a7LcGI7gMT7tS" 'True) (C1 ('MetaCons "K" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

unK :: K a b -> a Source #

Extract the contents of a K value.

newtype I (a :: Type) Source #

The identity type functor.

Like Identity, but with a shorter name.

Constructors

I a

Instances

Instances details

Foldable I Source #
Instance details Defined in Data.SOP.BasicFunctors Methods fold :: Monoid m => I m -> m Source # foldMap :: Monoid m => (a -> m) -> I a -> m Source # foldMap' :: Monoid m => (a -> m) -> I a -> m Source # foldr :: (a -> b -> b) -> b -> I a -> b Source # foldr' :: (a -> b -> b) -> b -> I a -> b Source # foldl :: (b -> a -> b) -> b -> I a -> b Source # foldl' :: (b -> a -> b) -> b -> I a -> b Source # foldr1 :: (a -> a -> a) -> I a -> a Source # foldl1 :: (a -> a -> a) -> I a -> a Source # toList :: I a -> [a] Source # null :: I a -> Bool Source # length :: I a -> Int Source # elem :: Eq a => a -> I a -> Bool Source # maximum :: Ord a => I a -> a Source # minimum :: Ord a => I a -> a Source # sum :: Num a => I a -> a Source # product :: Num a => I a -> a Source #
Eq1 I Source #	Since: 0.2.4.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftEq :: (a -> b -> Bool) -> I a -> I b -> Bool Source #
Ord1 I Source #	Since: 0.2.4.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftCompare :: (a -> b -> Ordering) -> I a -> I b -> Ordering Source #
Read1 I Source #	Since: 0.2.4.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (I a) Source # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [I a] Source # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (I a) Source # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [I a] Source #
Show1 I Source #	Since: 0.2.4.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> I a -> ShowS Source # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [I a] -> ShowS Source #
Traversable I Source #
Instance details Defined in Data.SOP.BasicFunctors Methods traverse :: Applicative f => (a -> f b) -> I a -> f (I b) Source # sequenceA :: Applicative f => I (f a) -> f (I a) Source # mapM :: Monad m => (a -> m b) -> I a -> m (I b) Source # sequence :: Monad m => I (m a) -> m (I a) Source #
Applicative I Source #
Instance details Defined in Data.SOP.BasicFunctors Methods pure :: a -> I a Source # (<>) :: I (a -> b) -> I a -> I b Source # liftA2 :: (a -> b -> c) -> I a -> I b -> I c Source # (>) :: I a -> I b -> I b Source # (<*) :: I a -> I b -> I a Source #
Functor I Source #
Instance details Defined in Data.SOP.BasicFunctors Methods fmap :: (a -> b) -> I a -> I b Source # (<$) :: a -> I b -> I a Source #
Monad I Source #
Instance details Defined in Data.SOP.BasicFunctors Methods (>>=) :: I a -> (a -> I b) -> I b Source # (>>) :: I a -> I b -> I b Source # return :: a -> I a Source #
NFData1 I Source #	Since: 0.2.5.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftRnf :: (a -> ()) -> I a -> () Source #
Monoid a => Monoid (I a) Source #	Since: 0.4.0.0
Instance details Defined in Data.SOP.BasicFunctors Methods mempty :: I a Source # mappend :: I a -> I a -> I a Source # mconcat :: [I a] -> I a Source #
Semigroup a => Semigroup (I a) Source #	Since: 0.4.0.0
Instance details Defined in Data.SOP.BasicFunctors Methods (<>) :: I a -> I a -> I a Source # sconcat :: NonEmpty (I a) -> I a Source # stimes :: Integral b => b -> I a -> I a Source #
Generic (I a) Source #
Instance details Defined in Data.SOP.BasicFunctors Associated Types type Rep (I a) :: Type -> Type Source # Methods from :: I a -> Rep (I a) x Source # to :: Rep (I a) x -> I a Source #
Read a => Read (I a) Source #
Instance details Defined in Data.SOP.BasicFunctors Methods readsPrec :: Int -> ReadS (I a) Source # readList :: ReadS [I a] Source # readPrec :: ReadPrec (I a) Source # readListPrec :: ReadPrec [I a] Source #
Show a => Show (I a) Source #
Instance details Defined in Data.SOP.BasicFunctors Methods showsPrec :: Int -> I a -> ShowS Source # show :: I a -> String Source # showList :: [I a] -> ShowS Source #
NFData a => NFData (I a) Source #	Since: 0.2.5.0
Instance details Defined in Data.SOP.BasicFunctors Methods rnf :: I a -> () Source #
Eq a => Eq (I a) Source #
Instance details Defined in Data.SOP.BasicFunctors Methods (==) :: I a -> I a -> Bool Source # (/=) :: I a -> I a -> Bool Source #
Ord a => Ord (I a) Source #
Instance details Defined in Data.SOP.BasicFunctors Methods compare :: I a -> I a -> Ordering Source # (<) :: I a -> I a -> Bool Source # (<=) :: I a -> I a -> Bool Source # (>) :: I a -> I a -> Bool Source # (>=) :: I a -> I a -> Bool Source # max :: I a -> I a -> I a Source # min :: I a -> I a -> I a Source #
type Rep (I a) Source #
Instance details Defined in Data.SOP.BasicFunctors type Rep (I a) = D1 ('MetaData "I" "Data.SOP.BasicFunctors" "sop-core-0.5.0.2-1KOi1hjK2a7LcGI7gMT7tS" 'True) (C1 ('MetaCons "I" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

unI :: I a -> a Source #

Extract the contents of an I value.

newtype ((f :: l -> Type) :.: (g :: k -> l)) (p :: k) infixr 7 Source #

Composition of functors.

Like Compose, but kind-polymorphic and with a shorter name.

Constructors

Comp (f (g p))

Instances

Instances details

(Foldable f, Foldable g) => Foldable (f :.: g) Source #	Since: 0.2.5.0
Instance details Defined in Data.SOP.BasicFunctors Methods fold :: Monoid m => (f :.: g) m -> m Source # foldMap :: Monoid m => (a -> m) -> (f :.: g) a -> m Source # foldMap' :: Monoid m => (a -> m) -> (f :.: g) a -> m Source # foldr :: (a -> b -> b) -> b -> (f :.: g) a -> b Source # foldr' :: (a -> b -> b) -> b -> (f :.: g) a -> b Source # foldl :: (b -> a -> b) -> b -> (f :.: g) a -> b Source # foldl' :: (b -> a -> b) -> b -> (f :.: g) a -> b Source # foldr1 :: (a -> a -> a) -> (f :.: g) a -> a Source # foldl1 :: (a -> a -> a) -> (f :.: g) a -> a Source # toList :: (f :.: g) a -> [a] Source # null :: (f :.: g) a -> Bool Source # length :: (f :.: g) a -> Int Source # elem :: Eq a => a -> (f :.: g) a -> Bool Source # maximum :: Ord a => (f :.: g) a -> a Source # minimum :: Ord a => (f :.: g) a -> a Source # sum :: Num a => (f :.: g) a -> a Source # product :: Num a => (f :.: g) a -> a Source #
(Eq1 f, Eq1 g) => Eq1 (f :.: g) Source #	Since: 0.2.4.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftEq :: (a -> b -> Bool) -> (f :.: g) a -> (f :.: g) b -> Bool Source #
(Ord1 f, Ord1 g) => Ord1 (f :.: g) Source #	Since: 0.2.4.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftCompare :: (a -> b -> Ordering) -> (f :.: g) a -> (f :.: g) b -> Ordering Source #
(Read1 f, Read1 g) => Read1 (f :.: g) Source #	Since: 0.2.4.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS ((f :.: g) a) Source # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [(f :.: g) a] Source # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec ((f :.: g) a) Source # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [(f :.: g) a] Source #
(Show1 f, Show1 g) => Show1 (f :.: g) Source #	Since: 0.2.4.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> (f :.: g) a -> ShowS Source # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [(f :.: g) a] -> ShowS Source #
(Traversable f, Traversable g) => Traversable (f :.: g) Source #	Since: 0.2.5.0
Instance details Defined in Data.SOP.BasicFunctors Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :.: g) a -> f0 ((f :.: g) b) Source # sequenceA :: Applicative f0 => (f :.: g) (f0 a) -> f0 ((f :.: g) a) Source # mapM :: Monad m => (a -> m b) -> (f :.: g) a -> m ((f :.: g) b) Source # sequence :: Monad m => (f :.: g) (m a) -> m ((f :.: g) a) Source #
(Applicative f, Applicative g) => Applicative (f :.: g) Source #	Since: 0.2.5.0
Instance details Defined in Data.SOP.BasicFunctors Methods pure :: a -> (f :.: g) a Source # (<>) :: (f :.: g) (a -> b) -> (f :.: g) a -> (f :.: g) b Source # liftA2 :: (a -> b -> c) -> (f :.: g) a -> (f :.: g) b -> (f :.: g) c Source # (>) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) b Source # (<*) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) a Source #
(Functor f, Functor g) => Functor (f :.: g) Source #
Instance details Defined in Data.SOP.BasicFunctors Methods fmap :: (a -> b) -> (f :.: g) a -> (f :.: g) b Source # (<$) :: a -> (f :.: g) b -> (f :.: g) a Source #
(NFData1 f, NFData1 g) => NFData1 (f :.: g) Source #	Since: 0.2.5.0
Instance details Defined in Data.SOP.BasicFunctors Methods liftRnf :: (a -> ()) -> (f :.: g) a -> () Source #
Monoid (f (g x)) => Monoid ((f :.: g) x) Source #	Since: 0.4.0.0
Instance details Defined in Data.SOP.BasicFunctors Methods mempty :: (f :.: g) x Source # mappend :: (f :.: g) x -> (f :.: g) x -> (f :.: g) x Source # mconcat :: [(f :.: g) x] -> (f :.: g) x Source #
Semigroup (f (g x)) => Semigroup ((f :.: g) x) Source #	Since: 0.4.0.0
Instance details Defined in Data.SOP.BasicFunctors Methods (<>) :: (f :.: g) x -> (f :.: g) x -> (f :.: g) x Source # sconcat :: NonEmpty ((f :.: g) x) -> (f :.: g) x Source # stimes :: Integral b => b -> (f :.: g) x -> (f :.: g) x Source #
Generic ((f :.: g) p) Source #
Instance details Defined in Data.SOP.BasicFunctors Associated Types type Rep ((f :.: g) p) :: Type -> Type Source # Methods from :: (f :.: g) p -> Rep ((f :.: g) p) x Source # to :: Rep ((f :.: g) p) x -> (f :.: g) p Source #
(Read1 f, Read1 g, Read a) => Read ((f :.: g) a) Source #
Instance details Defined in Data.SOP.BasicFunctors Methods readsPrec :: Int -> ReadS ((f :.: g) a) Source # readList :: ReadS [(f :.: g) a] Source # readPrec :: ReadPrec ((f :.: g) a) Source # readListPrec :: ReadPrec [(f :.: g) a] Source #
(Show1 f, Show1 g, Show a) => Show ((f :.: g) a) Source #
Instance details Defined in Data.SOP.BasicFunctors Methods showsPrec :: Int -> (f :.: g) a -> ShowS Source # show :: (f :.: g) a -> String Source # showList :: [(f :.: g) a] -> ShowS Source #
NFData (f (g a)) => NFData ((f :.: g) a) Source #	Since: 0.2.5.0
Instance details Defined in Data.SOP.BasicFunctors Methods rnf :: (f :.: g) a -> () Source #
(Eq1 f, Eq1 g, Eq a) => Eq ((f :.: g) a) Source #
Instance details Defined in Data.SOP.BasicFunctors Methods (==) :: (f :.: g) a -> (f :.: g) a -> Bool Source # (/=) :: (f :.: g) a -> (f :.: g) a -> Bool Source #
(Ord1 f, Ord1 g, Ord a) => Ord ((f :.: g) a) Source #
Instance details Defined in Data.SOP.BasicFunctors Methods compare :: (f :.: g) a -> (f :.: g) a -> Ordering Source # (<) :: (f :.: g) a -> (f :.: g) a -> Bool Source # (<=) :: (f :.: g) a -> (f :.: g) a -> Bool Source # (>) :: (f :.: g) a -> (f :.: g) a -> Bool Source # (>=) :: (f :.: g) a -> (f :.: g) a -> Bool Source # max :: (f :.: g) a -> (f :.: g) a -> (f :.: g) a Source # min :: (f :.: g) a -> (f :.: g) a -> (f :.: g) a Source #
type Rep ((f :.: g) p) Source #
Instance details Defined in Data.SOP.BasicFunctors type Rep ((f :.: g) p) = D1 ('MetaData ":.:" "Data.SOP.BasicFunctors" "sop-core-0.5.0.2-1KOi1hjK2a7LcGI7gMT7tS" 'True) (C1 ('MetaCons "Comp" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f (g p)))))

unComp :: (f :.: g) p -> f (g p) Source #

Extract the contents of a Comp value.

Mapping functions

mapII :: (a -> b) -> I a -> I b Source #

Lift the given function.

Since: 0.2.5.0

mapIK :: (a -> b) -> I a -> K b c Source #

Lift the given function.

Since: 0.2.5.0

mapKI :: (a -> b) -> K a c -> I b Source #

Lift the given function.

Since: 0.2.5.0

mapKK :: (a -> b) -> K a c -> K b d Source #

Lift the given function.

Since: 0.2.5.0

mapIII :: (a -> b -> c) -> I a -> I b -> I c Source #

Lift the given function.

Since: 0.2.5.0

mapIIK :: (a -> b -> c) -> I a -> I b -> K c d Source #

Lift the given function.

Since: 0.2.5.0

mapIKI :: (a -> b -> c) -> I a -> K b d -> I c Source #

Lift the given function.

Since: 0.2.5.0

mapIKK :: (a -> b -> c) -> I a -> K b d -> K c e Source #

Lift the given function.

Since: 0.2.5.0

mapKII :: (a -> b -> c) -> K a d -> I b -> I c Source #

Lift the given function.

Since: 0.2.5.0

mapKIK :: (a -> b -> c) -> K a d -> I b -> K c e Source #

Lift the given function.

Since: 0.2.5.0

mapKKI :: (a -> b -> c) -> K a d -> K b e -> I c Source #

Lift the given function.

Since: 0.2.5.0

mapKKK :: (a -> b -> c) -> K a d -> K b e -> K c f Source #

Lift the given function.

Since: 0.2.5.0