trait IsomorphismFunctor[F[_], G[_]] extends Functor[F] with IsomorphismInvariantFunctor[F, G]
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- IsomorphismFunctor
- IsomorphismInvariantFunctor
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- InvariantFunctor
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Type Members
- trait FunctorLaw extends InvariantFunctorLaw
- Definition Classes
- Functor
- trait InvariantFunctorLaw extends AnyRef
- Definition Classes
- InvariantFunctor
Abstract Value Members
- implicit abstract def G: Functor[G]
- Definition Classes
- IsomorphismFunctor → IsomorphismInvariantFunctor
- abstract def iso: Isomorphism.<~>[F, G]
- Definition Classes
- IsomorphismFunctor → IsomorphismInvariantFunctor
Concrete Value Members
- final def !=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def ##: Int
- Definition Classes
- AnyRef → Any
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- def apply[A, B](fa: F[A])(f: (A) => B): F[B]
Alias for
map.Alias for
map.- Definition Classes
- Functor
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- 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 clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @native()
- 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 counzip[A, B](a: \/[F[A], F[B]]): F[\/[A, B]]
- Definition Classes
- Functor
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def equals(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef → Any
- def finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable])
- 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
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native()
- def hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native()
- 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
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- 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
- final def ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- final def notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native()
- final def notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native()
- 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
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- def toString(): String
- Definition Classes
- AnyRef → Any
- 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
- final def wait(): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
- final def wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
- final def wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException]) @native()
- 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](ma: 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
- IsomorphismInvariantFunctor → 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