trait IsomorphismComonad[F[_], G[_]] extends Comonad[F] with IsomorphismCobind[F, G]
- Alphabetic
- By Inheritance
- IsomorphismComonad
- IsomorphismCobind
- IsomorphismFunctor
- Comonad
- Cobind
- Functor
- InvariantFunctor
- AnyRef
- Any
- Hide All
- Show All
- Public
- Protected
Type Members
- trait CobindLaws extends AnyRef
- Definition Classes
- Cobind
- trait ComonadLaws extends CobindLaws
- Definition Classes
- Comonad
- trait FunctorLaw extends InvariantFunctorLaw
- Definition Classes
- Functor
- trait InvariantFunctorLaw extends AnyRef
- Definition Classes
- InvariantFunctor
Abstract Value Members
- implicit abstract def G: Comonad[G]
- Definition Classes
- IsomorphismComonad → IsomorphismCobind → IsomorphismFunctor
- abstract def iso: Isomorphism.<~>[F, G]
- Definition Classes
- IsomorphismFunctor
Concrete Value Members
- def apply[A, B](fa: F[A])(f: (A) => B): F[B]
Alias for
map.Alias for
map.- Definition Classes
- Functor
- def bicompose[G[_, _]](implicit arg0: Bifunctor[G]): Bifunctor[[α, β]F[G[α, β]]]
The composition of Functor
Fand BifunctorG,[x, y]F[G[x, y]], is a BifunctorThe composition of Functor
Fand BifunctorG,[x, y]F[G[x, y]], is a Bifunctor- Definition Classes
- Functor
- def cobind[A, B](fa: F[A])(f: (F[A]) => B): F[B]
Also know as
extendAlso know as
extend- Definition Classes
- IsomorphismCobind → Cobind
- def cobindLaw: CobindLaws
- Definition Classes
- Cobind
- val cobindSyntax: CobindSyntax[F]
- Definition Classes
- Cobind
- def cojoin[A](a: F[A]): F[F[A]]
Also known as
duplicateAlso known as
duplicate- Definition Classes
- IsomorphismCobind → Cobind
- def comonadLaw: ComonadLaws
- Definition Classes
- Comonad
- val comonadSyntax: ComonadSyntax[F]
- Definition Classes
- Comonad
- def compose[G[_]](implicit G0: Functor[G]): Functor[[α]F[G[α]]]
The composition of Functors
FandG,[x]F[G[x]], is a FunctorThe composition of Functors
FandG,[x]F[G[x]], is a Functor- Definition Classes
- Functor
- def copoint[A](p: F[A]): A
Also known as
extract/copureAlso known as
extract/copure- Definition Classes
- IsomorphismComonad → Comonad
- final def copure[A](p: F[A]): A
alias for
copointalias for
copoint- Definition Classes
- Comonad
- def counzip[A, B](a: \/[F[A], F[B]]): F[\/[A, B]]
- Definition Classes
- Functor
- final def extend[A, B](fa: F[A])(f: (F[A]) => B): F[B]
- Definition Classes
- Cobind
- def fpair[A](fa: F[A]): F[(A, A)]
Twin all
As infa.Twin all
As infa.- Definition Classes
- Functor
- def fproduct[A, B](fa: F[A])(f: (A) => B): F[(A, B)]
Pair all
As infawith the result of function application.Pair all
As infawith the result of function application.- Definition Classes
- Functor
- def functorLaw: FunctorLaw
- Definition Classes
- Functor
- val functorSyntax: FunctorSyntax[F]
- Definition Classes
- Functor
- def icompose[G[_]](implicit G0: Contravariant[G]): Contravariant[[α]F[G[α]]]
The composition of Functor F and Contravariant G,
[x]F[G[x]], is contravariant.The composition of Functor F and Contravariant G,
[x]F[G[x]], is contravariant.- Definition Classes
- Functor
- def invariantFunctorLaw: InvariantFunctorLaw
- Definition Classes
- InvariantFunctor
- val invariantFunctorSyntax: InvariantFunctorSyntax[F]
- Definition Classes
- InvariantFunctor
- def lift[A, B](f: (A) => B): (F[A]) => F[B]
Lift
fintoF.Lift
fintoF.- Definition Classes
- Functor
- def map[A, B](fa: F[A])(f: (A) => B): F[B]
Lift
fintoFand apply toF[A].Lift
fintoFand apply toF[A].- Definition Classes
- IsomorphismFunctor → Functor
- def mapply[A, B](a: A)(f: F[(A) => B]): F[B]
Lift
apply(a), and apply the result tof.Lift
apply(a), and apply the result tof.- Definition Classes
- Functor
- def product[G[_]](implicit G0: Functor[G]): Functor[[α](F[α], G[α])]
The product of Functors
FandG,[x](F[x], G[x]]), is a FunctorThe product of Functors
FandG,[x](F[x], G[x]]), is a Functor- Definition Classes
- Functor
- def strengthL[A, B](a: A, f: F[B]): F[(A, B)]
Inject
ato the left ofBs inf.Inject
ato the left ofBs inf.- Definition Classes
- Functor
- def strengthR[A, B](f: F[A], b: B): F[(A, B)]
Inject
bto the right ofAs inf.Inject
bto the right ofAs inf.- Definition Classes
- Functor
- def void[A](fa: F[A]): F[Unit]
Empty
faof meaningful pure values, preserving its structure.Empty
faof meaningful pure values, preserving its structure.- Definition Classes
- Functor
- def widen[A, B](fa: F[A])(implicit ev: <~<[A, B]): F[B]
Functors are covariant by nature, so we can treat an
F[A]as anF[B]ifAis a subtype ofB.Functors are covariant by nature, so we can treat an
F[A]as anF[B]ifAis a subtype ofB.- Definition Classes
- Functor
- def xmap[A, B](fa: F[A], f: (A) => B, g: (B) => A): F[B]
Converts
mato a value of typeF[B]using the provided functionsfandg.Converts
mato a value of typeF[B]using the provided functionsfandg.- Definition Classes
- Functor → InvariantFunctor
- def xmapb[A, B](ma: F[A])(b: Bijection[A, B]): F[B]
Converts
mato a value of typeF[B]using the provided bijection.Converts
mato a value of typeF[B]using the provided bijection.- Definition Classes
- InvariantFunctor
- def xmapi[A, B](ma: F[A])(iso: Isomorphism.<=>[A, B]): F[B]
Converts
mato a value of typeF[B]using the provided isomorphism.Converts
mato a value of typeF[B]using the provided isomorphism.- Definition Classes
- InvariantFunctor