Pandora.Paradigm.Basis.Identity

Documentation

newtype Identity a

Constructors

Identity a

Instances

Covariant Identity

Defined in Pandora.Paradigm.Basis.Identity

Methods

(<$>) :: (a -> b) -> Identity a -> Identity b

comap :: (a -> b) -> Identity a -> Identity b

(<$) :: a -> Identity b -> Identity a

($>) :: Identity a -> b -> Identity b

void :: Identity a -> Identity ()

loeb :: Identity (Identity a -> a) -> Identity a

(<$$>) :: Covariant u => (a -> b) -> Identity (u a) -> Identity (u b)

(<$$$>) :: (Covariant u, Covariant v) => (a -> b) -> Identity (u (v a)) -> Identity (u (v b))

(<$$$$>) :: (Covariant u, Covariant v, Covariant w) => (a -> b) -> Identity (u (v (w a))) -> Identity (u (v (w b)))

Applicative Identity

Defined in Pandora.Paradigm.Basis.Identity

Methods

(<*>) :: Identity (a -> b) -> Identity a -> Identity b

apply :: Identity (a -> b) -> Identity a -> Identity b

(*>) :: Identity a -> Identity b -> Identity b

(<*) :: Identity a -> Identity b -> Identity a

forever :: Identity a -> Identity b

Bindable Identity

Defined in Pandora.Paradigm.Basis.Identity

Methods

(>>=) :: Identity a -> (a -> Identity b) -> Identity b

(=<<) :: (a -> Identity b) -> Identity a -> Identity b

bind :: (a -> Identity b) -> Identity a -> Identity b

join :: (Identity :.: Identity) a -> Identity a

(>=>) :: (a -> Identity b) -> (b -> Identity c) -> a -> Identity c

(<=<) :: (b -> Identity c) -> (a -> Identity b) -> a -> Identity c

Distributive Identity

Defined in Pandora.Paradigm.Basis.Identity

Methods

(>>-) :: Covariant t => t a -> (a -> Identity b) -> (Identity :.: t) b

collect :: Covariant t => (a -> Identity b) -> t a -> (Identity :.: t) b

distribute :: Covariant t => (t :.: Identity) a -> (Identity :.: t) a

Extendable Identity

Defined in Pandora.Paradigm.Basis.Identity

Methods

(=>>) :: Identity a -> (Identity a -> b) -> Identity b

(<<=) :: (Identity a -> b) -> Identity a -> Identity b

extend :: (Identity a -> b) -> Identity a -> Identity b

duplicate :: Identity a -> (Identity :.: Identity) a

(=<=) :: (Identity b -> c) -> (Identity a -> b) -> Identity a -> c

(=>=) :: (Identity a -> b) -> (Identity b -> c) -> Identity a -> c

Extractable Identity

Defined in Pandora.Paradigm.Basis.Identity

Methods

extract :: Identity a -> a

Comonad Identity

Defined in Pandora.Paradigm.Basis.Identity

Pointable Identity

Defined in Pandora.Paradigm.Basis.Identity

Methods

point :: a -> Identity a

Monad Identity

Defined in Pandora.Paradigm.Basis.Identity

Traversable Identity

Defined in Pandora.Paradigm.Basis.Identity

Methods

(->>) :: (Pointable u, Applicative u) => Identity a -> (a -> u b) -> (u :.: Identity) b

traverse :: (Pointable u, Applicative u) => (a -> u b) -> Identity a -> (u :.: Identity) b

sequence :: (Pointable u, Applicative u) => (Identity :.: u) a -> (u :.: Identity) a

Adjoint Identity Identity

Defined in Pandora.Paradigm.Basis.Identity

Methods

phi :: (Identity a -> b) -> a -> Identity b

psi :: (a -> Identity b) -> Identity a -> b

eta :: a -> (Identity :.: Identity) a

epsilon :: (Identity :.: Identity) a -> a

Semigroup a => Semigroup (Identity a)

Defined in Pandora.Paradigm.Basis.Identity

Methods

(<>) :: Identity a -> Identity a -> Identity a

Ringoid a => Ringoid (Identity a)

Defined in Pandora.Paradigm.Basis.Identity

Methods

(><) :: Identity a -> Identity a -> Identity a

Monoid a => Monoid (Identity a)

Defined in Pandora.Paradigm.Basis.Identity

Methods

unit :: Identity a

Group a => Group (Identity a)

Defined in Pandora.Paradigm.Basis.Identity

Methods

inverse :: Identity a -> Identity a

Supremum a => Supremum (Identity a)

Defined in Pandora.Paradigm.Basis.Identity

Methods

(\/) :: Identity a -> Identity a -> Identity a

Infimum a => Infimum (Identity a)

Defined in Pandora.Paradigm.Basis.Identity

Methods

(/\) :: Identity a -> Identity a -> Identity a

Lattice a => Lattice (Identity a)

Defined in Pandora.Paradigm.Basis.Identity

Setoid a => Setoid (Identity a)

Defined in Pandora.Paradigm.Basis.Identity

Methods

(==) :: Identity a -> Identity a -> Boolean

(/=) :: Identity a -> Identity a -> Boolean

Chain a => Chain (Identity a)

Defined in Pandora.Paradigm.Basis.Identity

Methods

(<=>) :: Identity a -> Identity a -> Ordering

(<) :: Identity a -> Identity a -> Boolean

(<=) :: Identity a -> Identity a -> Boolean

(>) :: Identity a -> Identity a -> Boolean

(>=) :: Identity a -> Identity a -> Boolean