Safe Haskell	None
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 (b :: k) = K a
unK :: forall {k} a (b :: k). K a b -> a
newtype I a = I a
unI :: I a -> a
newtype ((f :: l -> Type) :.: (g :: k -> l)) (p :: k) = Comp (f (g p))
unComp :: forall {l} {k} f (g :: k -> l) (p :: k). (f :.: g) p -> f (g p)
mapII :: (a -> b) -> I a -> I b
mapIK :: forall {k} a b (c :: k). (a -> b) -> I a -> K b c
mapKI :: forall {k} a b (c :: k). (a -> b) -> K a c -> I b
mapKK :: forall {k1} {k2} a b (c :: k1) (d :: k2). (a -> b) -> K a c -> K b d
mapIII :: (a -> b -> c) -> I a -> I b -> I c
mapIIK :: forall {k} a b c (d :: k). (a -> b -> c) -> I a -> I b -> K c d
mapIKI :: forall {k} a b c (d :: k). (a -> b -> c) -> I a -> K b d -> I c
mapIKK :: forall {k1} {k2} a b c (d :: k1) (e :: k2). (a -> b -> c) -> I a -> K b d -> K c e
mapKII :: forall {k} a b c (d :: k). (a -> b -> c) -> K a d -> I b -> I c
mapKIK :: forall {k1} {k2} a b c (d :: k1) (e :: k2). (a -> b -> c) -> K a d -> I b -> K c e
mapKKI :: forall {k1} {k2} a b c (d :: k1) (e :: k2). (a -> b -> c) -> K a d -> K b e -> I c
mapKKK :: forall {k1} {k2} {k3} a b c (d :: k1) (e :: k2) (f :: k3). (a -> b -> c) -> K a d -> K b e -> K c f

Basic functors

newtype K a (b :: k) #

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) #

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 #

Ord2 (K :: Type -> Type -> Type) #

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 #

Read2 (K :: Type -> Type -> Type) #

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) #

liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [K a b] #

liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (K a b) #

liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [K a b] #

Show2 (K :: Type -> Type -> Type) #

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 #

liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [K a b] -> ShowS #

NFData2 (K :: Type -> Type -> Type) #

Since: 0.2.5.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> K a b -> () #

Eq a => Eq1 (K a :: Type -> Type) #

Since: 0.2.4.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

liftEq :: (a0 -> b -> Bool) -> K a a0 -> K a b -> Bool #

Ord a => Ord1 (K a :: Type -> Type) #

Since: 0.2.4.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

liftCompare :: (a0 -> b -> Ordering) -> K a a0 -> K a b -> Ordering #

Read a => Read1 (K a :: Type -> Type) #

Since: 0.2.4.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (K a a0) #

liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [K a a0] #

liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (K a a0) #

liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [K a a0] #

Show a => Show1 (K a :: Type -> Type) #

Since: 0.2.4.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

liftShowsPrec :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> Int -> K a a0 -> ShowS #

liftShowList :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> [K a a0] -> ShowS #

NFData a => NFData1 (K a :: Type -> Type) #

Since: 0.2.5.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

liftRnf :: (a0 -> ()) -> K a a0 -> () #

Monoid a => Applicative (K a :: Type -> Type) #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

pure :: a0 -> K a a0 #

(<*>) :: K a (a0 -> b) -> K a a0 -> K a b #

liftA2 :: (a0 -> b -> c) -> K a a0 -> K a b -> K a c #

(*>) :: K a a0 -> K a b -> K a b #

(<*) :: K a a0 -> K a b -> K a a0 #

Functor (K a :: Type -> Type) #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

fmap :: (a0 -> b) -> K a a0 -> K a b #

(<$) :: a0 -> K a b -> K a a0 #

Foldable (K a :: Type -> Type) #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

fold :: Monoid m => K a m -> m #

foldMap :: Monoid m => (a0 -> m) -> K a a0 -> m #

foldMap' :: Monoid m => (a0 -> m) -> K a a0 -> m #

foldr :: (a0 -> b -> b) -> b -> K a a0 -> b #

foldr' :: (a0 -> b -> b) -> b -> K a a0 -> b #

foldl :: (b -> a0 -> b) -> b -> K a a0 -> b #

foldl' :: (b -> a0 -> b) -> b -> K a a0 -> b #

foldr1 :: (a0 -> a0 -> a0) -> K a a0 -> a0 #

foldl1 :: (a0 -> a0 -> a0) -> K a a0 -> a0 #

toList :: K a a0 -> [a0] #

null :: K a a0 -> Bool #

length :: K a a0 -> Int #

elem :: Eq a0 => a0 -> K a a0 -> Bool #

maximum :: Ord a0 => K a a0 -> a0 #

minimum :: Ord a0 => K a a0 -> a0 #

sum :: Num a0 => K a a0 -> a0 #

product :: Num a0 => K a a0 -> a0 #

Traversable (K a :: Type -> Type) #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

traverse :: Applicative f => (a0 -> f b) -> K a a0 -> f (K a b) #

sequenceA :: Applicative f => K a (f a0) -> f (K a a0) #

mapM :: Monad m => (a0 -> m b) -> K a a0 -> m (K a b) #

sequence :: Monad m => K a (m a0) -> m (K a a0) #

NFData a => NFData (K a b) #

Since: 0.2.5.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

rnf :: K a b -> () #

Monoid a => Monoid (K a b) #

Since: 0.4.0.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

mempty :: K a b #

mappend :: K a b -> K a b -> K a b #

mconcat :: [K a b] -> K a b #

Semigroup a => Semigroup (K a b) #

Since: 0.4.0.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

(<>) :: K a b -> K a b -> K a b #

sconcat :: NonEmpty (K a b) -> K a b #

stimes :: Integral b0 => b0 -> K a b -> K a b #

Generic (K a b) #

Instance details

Defined in Data.SOP.BasicFunctors

Associated Types

type Rep (K a b)
Instance details Defined in Data.SOP.BasicFunctors type Rep (K a b) = D1 ('MetaData "K" "Data.SOP.BasicFunctors" "sop-core-0.5.0.2-3pPdHSIvhiEBpoNP4ADc2R" 'True) (C1 ('MetaCons "K" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

Methods

from :: K a b -> Rep (K a b) x #

to :: Rep (K a b) x -> K a b #

Read a => Read (K a b) #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

readsPrec :: Int -> ReadS (K a b) #

readList :: ReadS [K a b] #

readPrec :: ReadPrec (K a b) #

readListPrec :: ReadPrec [K a b] #

Show a => Show (K a b) #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

showsPrec :: Int -> K a b -> ShowS #

show :: K a b -> String #

showList :: [K a b] -> ShowS #

Eq a => Eq (K a b) #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

(==) :: K a b -> K a b -> Bool #

(/=) :: K a b -> K a b -> Bool #

Ord a => Ord (K a b) #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

compare :: K a b -> K a b -> Ordering #

(<) :: K a b -> K a b -> Bool #

(<=) :: K a b -> K a b -> Bool #

(>) :: K a b -> K a b -> Bool #

(>=) :: K a b -> K a b -> Bool #

max :: K a b -> K a b -> K a b #

min :: K a b -> K a b -> K a b #

type Rep (K a b) #

Instance details

Defined in Data.SOP.BasicFunctors

type Rep (K a b) = D1 ('MetaData "K" "Data.SOP.BasicFunctors" "sop-core-0.5.0.2-3pPdHSIvhiEBpoNP4ADc2R" 'True) (C1 ('MetaCons "K" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

unK :: forall {k} a (b :: k). K a b -> a #

Extract the contents of a K value.

newtype I a #

The identity type functor.

Like Identity, but with a shorter name.

Constructors

I a

Instances

Instances details

Eq1 I #

Since: 0.2.4.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

liftEq :: (a -> b -> Bool) -> I a -> I b -> Bool #

Ord1 I #

Since: 0.2.4.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

liftCompare :: (a -> b -> Ordering) -> I a -> I b -> Ordering #

Read1 I #

Since: 0.2.4.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (I a) #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [I a] #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (I a) #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [I a] #

Show1 I #

Since: 0.2.4.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> I a -> ShowS #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [I a] -> ShowS #

NFData1 I #

Since: 0.2.5.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

liftRnf :: (a -> ()) -> I a -> () #

Applicative I #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

pure :: a -> I a #

(<*>) :: I (a -> b) -> I a -> I b #

liftA2 :: (a -> b -> c) -> I a -> I b -> I c #

(*>) :: I a -> I b -> I b #

(<*) :: I a -> I b -> I a #

Functor I #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

fmap :: (a -> b) -> I a -> I b #

(<$) :: a -> I b -> I a #

Monad I #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

(>>=) :: I a -> (a -> I b) -> I b #

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

return :: a -> I a #

Foldable I #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

fold :: Monoid m => I m -> m #

foldMap :: Monoid m => (a -> m) -> I a -> m #

foldMap' :: Monoid m => (a -> m) -> I a -> m #

foldr :: (a -> b -> b) -> b -> I a -> b #

foldr' :: (a -> b -> b) -> b -> I a -> b #

foldl :: (b -> a -> b) -> b -> I a -> b #

foldl' :: (b -> a -> b) -> b -> I a -> b #

foldr1 :: (a -> a -> a) -> I a -> a #

foldl1 :: (a -> a -> a) -> I a -> a #

toList :: I a -> [a] #

null :: I a -> Bool #

length :: I a -> Int #

elem :: Eq a => a -> I a -> Bool #

maximum :: Ord a => I a -> a #

minimum :: Ord a => I a -> a #

sum :: Num a => I a -> a #

product :: Num a => I a -> a #

Traversable I #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

traverse :: Applicative f => (a -> f b) -> I a -> f (I b) #

sequenceA :: Applicative f => I (f a) -> f (I a) #

mapM :: Monad m => (a -> m b) -> I a -> m (I b) #

sequence :: Monad m => I (m a) -> m (I a) #

NFData a => NFData (I a) #

Since: 0.2.5.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

rnf :: I a -> () #

Monoid a => Monoid (I a) #

Since: 0.4.0.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

mempty :: I a #

mappend :: I a -> I a -> I a #

mconcat :: [I a] -> I a #

Semigroup a => Semigroup (I a) #

Since: 0.4.0.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

(<>) :: I a -> I a -> I a #

sconcat :: NonEmpty (I a) -> I a #

stimes :: Integral b => b -> I a -> I a #

Generic (I a) #

Instance details

Defined in Data.SOP.BasicFunctors

Associated Types

type Rep (I a)
Instance details Defined in Data.SOP.BasicFunctors type Rep (I a) = D1 ('MetaData "I" "Data.SOP.BasicFunctors" "sop-core-0.5.0.2-3pPdHSIvhiEBpoNP4ADc2R" 'True) (C1 ('MetaCons "I" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

Methods

from :: I a -> Rep (I a) x #

to :: Rep (I a) x -> I a #

Read a => Read (I a) #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

readsPrec :: Int -> ReadS (I a) #

readList :: ReadS [I a] #

readPrec :: ReadPrec (I a) #

readListPrec :: ReadPrec [I a] #

Show a => Show (I a) #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

showsPrec :: Int -> I a -> ShowS #

show :: I a -> String #

showList :: [I a] -> ShowS #

Eq a => Eq (I a) #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

(==) :: I a -> I a -> Bool #

(/=) :: I a -> I a -> Bool #

Ord a => Ord (I a) #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

compare :: I a -> I a -> Ordering #

(<) :: I a -> I a -> Bool #

(<=) :: I a -> I a -> Bool #

(>) :: I a -> I a -> Bool #

(>=) :: I a -> I a -> Bool #

max :: I a -> I a -> I a #

min :: I a -> I a -> I a #

type Rep (I a) #

Instance details

Defined in Data.SOP.BasicFunctors

type Rep (I a) = D1 ('MetaData "I" "Data.SOP.BasicFunctors" "sop-core-0.5.0.2-3pPdHSIvhiEBpoNP4ADc2R" 'True) (C1 ('MetaCons "I" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

unI :: I a -> a #

Extract the contents of an I value.

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

Composition of functors.

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

Constructors

Comp (f (g p))

Instances

Instances details

(Eq1 f, Eq1 g) => Eq1 (f :.: g) #

Since: 0.2.4.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

liftEq :: (a -> b -> Bool) -> (f :.: g) a -> (f :.: g) b -> Bool #

(Ord1 f, Ord1 g) => Ord1 (f :.: g) #

Since: 0.2.4.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

liftCompare :: (a -> b -> Ordering) -> (f :.: g) a -> (f :.: g) b -> Ordering #

(Read1 f, Read1 g) => Read1 (f :.: g) #

Since: 0.2.4.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS ((f :.: g) a) #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [(f :.: g) a] #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec ((f :.: g) a) #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [(f :.: g) a] #

(Show1 f, Show1 g) => Show1 (f :.: g) #

Since: 0.2.4.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> (f :.: g) a -> ShowS #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [(f :.: g) a] -> ShowS #

(NFData1 f, NFData1 g) => NFData1 (f :.: g) #

Since: 0.2.5.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

liftRnf :: (a -> ()) -> (f :.: g) a -> () #

(Applicative f, Applicative g) => Applicative (f :.: g) #

Since: 0.2.5.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

pure :: a -> (f :.: g) a #

(<*>) :: (f :.: g) (a -> b) -> (f :.: g) a -> (f :.: g) b #

liftA2 :: (a -> b -> c) -> (f :.: g) a -> (f :.: g) b -> (f :.: g) c #

(*>) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) b #

(<*) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) a #

(Functor f, Functor g) => Functor (f :.: g) #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

fmap :: (a -> b) -> (f :.: g) a -> (f :.: g) b #

(<$) :: a -> (f :.: g) b -> (f :.: g) a #

(Foldable f, Foldable g) => Foldable (f :.: g) #

Since: 0.2.5.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

fold :: Monoid m => (f :.: g) m -> m #

foldMap :: Monoid m => (a -> m) -> (f :.: g) a -> m #

foldMap' :: Monoid m => (a -> m) -> (f :.: g) a -> m #

foldr :: (a -> b -> b) -> b -> (f :.: g) a -> b #

foldr' :: (a -> b -> b) -> b -> (f :.: g) a -> b #

foldl :: (b -> a -> b) -> b -> (f :.: g) a -> b #

foldl' :: (b -> a -> b) -> b -> (f :.: g) a -> b #

foldr1 :: (a -> a -> a) -> (f :.: g) a -> a #

foldl1 :: (a -> a -> a) -> (f :.: g) a -> a #

toList :: (f :.: g) a -> [a] #

null :: (f :.: g) a -> Bool #

length :: (f :.: g) a -> Int #

elem :: Eq a => a -> (f :.: g) a -> Bool #

maximum :: Ord a => (f :.: g) a -> a #

minimum :: Ord a => (f :.: g) a -> a #

sum :: Num a => (f :.: g) a -> a #

product :: Num a => (f :.: g) a -> a #

(Traversable f, Traversable g) => Traversable (f :.: g) #

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) #

sequenceA :: Applicative f0 => (f :.: g) (f0 a) -> f0 ((f :.: g) a) #

mapM :: Monad m => (a -> m b) -> (f :.: g) a -> m ((f :.: g) b) #

sequence :: Monad m => (f :.: g) (m a) -> m ((f :.: g) a) #

NFData (f (g a)) => NFData ((f :.: g) a) #

Since: 0.2.5.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

rnf :: (f :.: g) a -> () #

Monoid (f (g x)) => Monoid ((f :.: g) x) #

Since: 0.4.0.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

mempty :: (f :.: g) x #

mappend :: (f :.: g) x -> (f :.: g) x -> (f :.: g) x #

mconcat :: [(f :.: g) x] -> (f :.: g) x #

Semigroup (f (g x)) => Semigroup ((f :.: g) x) #

Since: 0.4.0.0

Instance details

Defined in Data.SOP.BasicFunctors

Methods

(<>) :: (f :.: g) x -> (f :.: g) x -> (f :.: g) x #

sconcat :: NonEmpty ((f :.: g) x) -> (f :.: g) x #

stimes :: Integral b => b -> (f :.: g) x -> (f :.: g) x #

Generic ((f :.: g) p) #

Instance details

Defined in Data.SOP.BasicFunctors

Associated Types

type Rep ((f :.: g) p)
Instance details Defined in Data.SOP.BasicFunctors type Rep ((f :.: g) p) = D1 ('MetaData ":.:" "Data.SOP.BasicFunctors" "sop-core-0.5.0.2-3pPdHSIvhiEBpoNP4ADc2R" 'True) (C1 ('MetaCons "Comp" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f (g p)))))

Methods

from :: (f :.: g) p -> Rep ((f :.: g) p) x #

to :: Rep ((f :.: g) p) x -> (f :.: g) p #

(Read1 f, Read1 g, Read a) => Read ((f :.: g) a) #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

readsPrec :: Int -> ReadS ((f :.: g) a) #

readList :: ReadS [(f :.: g) a] #

readPrec :: ReadPrec ((f :.: g) a) #

readListPrec :: ReadPrec [(f :.: g) a] #

(Show1 f, Show1 g, Show a) => Show ((f :.: g) a) #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

showsPrec :: Int -> (f :.: g) a -> ShowS #

show :: (f :.: g) a -> String #

showList :: [(f :.: g) a] -> ShowS #

(Eq1 f, Eq1 g, Eq a) => Eq ((f :.: g) a) #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

(==) :: (f :.: g) a -> (f :.: g) a -> Bool #

(/=) :: (f :.: g) a -> (f :.: g) a -> Bool #

(Ord1 f, Ord1 g, Ord a) => Ord ((f :.: g) a) #

Instance details

Defined in Data.SOP.BasicFunctors

Methods

compare :: (f :.: g) a -> (f :.: g) a -> Ordering #

(<) :: (f :.: g) a -> (f :.: g) a -> Bool #

(<=) :: (f :.: g) a -> (f :.: g) a -> Bool #

(>) :: (f :.: g) a -> (f :.: g) a -> Bool #

(>=) :: (f :.: g) a -> (f :.: g) a -> Bool #

max :: (f :.: g) a -> (f :.: g) a -> (f :.: g) a #

min :: (f :.: g) a -> (f :.: g) a -> (f :.: g) a #

type Rep ((f :.: g) p) #

Instance details

Defined in Data.SOP.BasicFunctors

type Rep ((f :.: g) p) = D1 ('MetaData ":.:" "Data.SOP.BasicFunctors" "sop-core-0.5.0.2-3pPdHSIvhiEBpoNP4ADc2R" 'True) (C1 ('MetaCons "Comp" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f (g p)))))

unComp :: forall {l} {k} f (g :: k -> l) (p :: k). (f :.: g) p -> f (g p) #

Extract the contents of a Comp value.

Mapping functions

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

Lift the given function.

Since: 0.2.5.0

mapIK :: forall {k} a b (c :: k). (a -> b) -> I a -> K b c #

Lift the given function.

Since: 0.2.5.0

mapKI :: forall {k} a b (c :: k). (a -> b) -> K a c -> I b #

Lift the given function.

Since: 0.2.5.0

mapKK :: forall {k1} {k2} a b (c :: k1) (d :: k2). (a -> b) -> K a c -> K b d #

Lift the given function.

Since: 0.2.5.0

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

Lift the given function.

Since: 0.2.5.0

mapIIK :: forall {k} a b c (d :: k). (a -> b -> c) -> I a -> I b -> K c d #

Lift the given function.

Since: 0.2.5.0

mapIKI :: forall {k} a b c (d :: k). (a -> b -> c) -> I a -> K b d -> I c #

Lift the given function.

Since: 0.2.5.0

mapIKK :: forall {k1} {k2} a b c (d :: k1) (e :: k2). (a -> b -> c) -> I a -> K b d -> K c e #

Lift the given function.

Since: 0.2.5.0

mapKII :: forall {k} a b c (d :: k). (a -> b -> c) -> K a d -> I b -> I c #

Lift the given function.

Since: 0.2.5.0

mapKIK :: forall {k1} {k2} a b c (d :: k1) (e :: k2). (a -> b -> c) -> K a d -> I b -> K c e #

Lift the given function.

Since: 0.2.5.0

mapKKI :: forall {k1} {k2} a b c (d :: k1) (e :: k2). (a -> b -> c) -> K a d -> K b e -> I c #

Lift the given function.

Since: 0.2.5.0

mapKKK :: forall {k1} {k2} {k3} a b c (d :: k1) (e :: k2) (f :: k3). (a -> b -> c) -> K a d -> K b e -> K c f #

Lift the given function.

Since: 0.2.5.0