IsomorphismApply

trait IsomorphismApply[F[_], G[_]] extends Apply[F] with IsomorphismFunctor[F, G]

Source: Apply.scala

Linear Supertypes

IsomorphismFunctor[F, G], IsomorphismInvariantFunctor[F, G], Apply[F], Functor[F], InvariantFunctor[F], AnyRef, Any

Known Subclasses

IsomorphismAlt, IsomorphismApplicative, IsomorphismApplicativeError, IsomorphismApplicativePlus, IsomorphismBind, IsomorphismBindRec, IsomorphismMonad, IsomorphismMonadError, IsomorphismMonadPlus, IsomorphismMonadReader, IsomorphismMonadState, IsomorphismMonadTell, IsomorphismNondeterminism

Ordering

Alphabetic
By Inheritance

Inherited

IsomorphismApply
IsomorphismFunctor
IsomorphismInvariantFunctor
Apply
Functor
InvariantFunctor
AnyRef
Any

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Visibility

Public
All

Type Members

trait ApplyLaw extends FunctorLaw

Definition Classes
Apply
trait FlippedApply extends Apply[F]

Attributes
protected[this]
Definition Classes
Apply
trait FunctorLaw extends InvariantFunctorLaw

Definition Classes
Functor
trait InvariantFunctorLaw extends AnyRef

Definition Classes
InvariantFunctor

Abstract Value Members

implicit abstract def G: Apply[G]

Definition Classes
IsomorphismApply → 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 ap[A, B](fa: ⇒ F[A])(f: ⇒ F[(A) ⇒ B]): F[B]
Sequence f, then fa, combining their results by function application.
Sequence f, then fa, combining their results by function application.
NB: with respect to apply2 and all other combinators, as well as scalaz.Bind, the f action appears to the *left*. So f should be the "first" F-action to perform. This is in accordance with all other implementations of this typeclass in common use, which are "function first".

Definition Classes
IsomorphismApply → Apply
def ap2[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B])(f: F[(A, B) ⇒ C]): F[C]

Definition Classes
Apply
def ap3[A, B, C, D](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C])(f: F[(A, B, C) ⇒ D]): F[D]

Definition Classes
Apply
def ap4[A, B, C, D, E](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D])(f: F[(A, B, C, D) ⇒ E]): F[E]

Definition Classes
Apply
def ap5[A, B, C, D, E, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E])(f: F[(A, B, C, D, E) ⇒ R]): F[R]

Definition Classes
Apply
def ap6[A, B, C, D, E, FF, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF])(f: F[(A, B, C, D, E, FF) ⇒ R]): F[R]

Definition Classes
Apply
def ap7[A, B, C, D, E, FF, G, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF], fg: ⇒ F[G])(f: F[(A, B, C, D, E, FF, G) ⇒ R]): F[R]

Definition Classes
Apply
def ap8[A, B, C, D, E, FF, G, H, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF], fg: ⇒ F[G], fh: ⇒ F[H])(f: F[(A, B, C, D, E, FF, G, H) ⇒ R]): F[R]

Definition Classes
Apply
def apF[A, B](f: ⇒ F[(A) ⇒ B]): (F[A]) ⇒ F[B]
Flipped variant of ap.
Flipped variant of ap.

Definition Classes
Apply
def apply[A, B](fa: F[A])(f: (A) ⇒ B): F[B]
Alias for map.
Alias for map.

Definition Classes
Functor
def apply10[A, B, C, D, E, FF, G, H, I, J, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF], fg: ⇒ F[G], fh: ⇒ F[H], fi: ⇒ F[I], fj: ⇒ F[J])(f: (A, B, C, D, E, FF, G, H, I, J) ⇒ R): F[R]

Definition Classes
Apply
def apply11[A, B, C, D, E, FF, G, H, I, J, K, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF], fg: ⇒ F[G], fh: ⇒ F[H], fi: ⇒ F[I], fj: ⇒ F[J], fk: ⇒ F[K])(f: (A, B, C, D, E, FF, G, H, I, J, K) ⇒ R): F[R]

Definition Classes
Apply
def apply12[A, B, C, D, E, FF, G, H, I, J, K, L, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF], fg: ⇒ F[G], fh: ⇒ F[H], fi: ⇒ F[I], fj: ⇒ F[J], fk: ⇒ F[K], fl: ⇒ F[L])(f: (A, B, C, D, E, FF, G, H, I, J, K, L) ⇒ R): F[R]

Definition Classes
Apply
def apply2[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B])(f: (A, B) ⇒ C): F[C]

Definition Classes
IsomorphismApply → Apply
def apply3[A, B, C, D](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C])(f: (A, B, C) ⇒ D): F[D]

Definition Classes
Apply
def apply4[A, B, C, D, E](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D])(f: (A, B, C, D) ⇒ E): F[E]

Definition Classes
Apply
def apply5[A, B, C, D, E, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E])(f: (A, B, C, D, E) ⇒ R): F[R]

Definition Classes
Apply
def apply6[A, B, C, D, E, FF, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF])(f: (A, B, C, D, E, FF) ⇒ R): F[R]

Definition Classes
Apply
def apply7[A, B, C, D, E, FF, G, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF], fg: ⇒ F[G])(f: (A, B, C, D, E, FF, G) ⇒ R): F[R]

Definition Classes
Apply
def apply8[A, B, C, D, E, FF, G, H, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF], fg: ⇒ F[G], fh: ⇒ F[H])(f: (A, B, C, D, E, FF, G, H) ⇒ R): F[R]

Definition Classes
Apply
def apply9[A, B, C, D, E, FF, G, H, I, R](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E], ff: ⇒ F[FF], fg: ⇒ F[G], fh: ⇒ F[H], fi: ⇒ F[I])(f: (A, B, C, D, E, FF, G, H, I) ⇒ R): F[R]

Definition Classes
Apply
def applyApplicative: Applicative[[α]\/[F[α], α]]
Add a unit to any Apply to form an Applicative.
Add a unit to any Apply to form an Applicative.

Definition Classes
Apply
def applyLaw: ApplyLaw

Definition Classes
Apply
val applySyntax: ApplySyntax[F]

Definition Classes
Apply
final def applying1[Z, A1](f: (A1) ⇒ Z)(implicit a1: F[A1]): F[Z]

Definition Classes
Apply
final def applying2[Z, A1, A2](f: (A1, A2) ⇒ Z)(implicit a1: F[A1], a2: F[A2]): F[Z]

Definition Classes
Apply
final def applying3[Z, A1, A2, A3](f: (A1, A2, A3) ⇒ Z)(implicit a1: F[A1], a2: F[A2], a3: F[A3]): F[Z]

Definition Classes
Apply
final def applying4[Z, A1, A2, A3, A4](f: (A1, A2, A3, A4) ⇒ Z)(implicit a1: F[A1], a2: F[A2], a3: F[A3], a4: F[A4]): F[Z]

Definition Classes
Apply
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 F and Bifunctor G, [x, y]F[G[x, y]], is a Bifunctor
The composition of Functor F and Bifunctor G, [x, y]F[G[x, y]], is a Bifunctor

Definition Classes
Functor
def clone(): AnyRef

Attributes
protected[lang]
Definition Classes
AnyRef
Annotations
@throws( ... ) @native()
def compose[G[_]](implicit G0: Apply[G]): Apply[[α]F[G[α]]]
The composition of Applys F and G, [x]F[G[x]], is a Apply
The composition of Applys F and G, [x]F[G[x]], is a Apply

Definition Classes
Apply
def compose[G[_]](implicit G0: Functor[G]): Functor[[α]F[G[α]]]
The composition of Functors F and G, [x]F[G[x]], is a Functor
The composition of Functors F and G, [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
def discardLeft[A, B](fa: ⇒ F[A], fb: ⇒ F[B]): F[B]
Combine fa and fb according to Apply[F] with a function that discards the A(s)
Combine fa and fb according to Apply[F] with a function that discards the A(s)

Definition Classes
Apply
def discardRight[A, B](fa: ⇒ F[A], fb: ⇒ F[B]): F[A]
Combine fa and fb according to Apply[F] with a function that discards the B(s)
Combine fa and fb according to Apply[F] with a function that discards the B(s)

Definition Classes
Apply
final def eq(arg0: AnyRef): Boolean

Definition Classes
AnyRef
def equals(arg0: Any): Boolean

Definition Classes
AnyRef → Any
def finalize(): Unit

Attributes
protected[lang]
Definition Classes
AnyRef
Annotations
@throws( classOf[java.lang.Throwable] )
def flip: Apply[F]
An Apply for F in which effects happen in the opposite order.
An Apply for F in which effects happen in the opposite order.

Definition Classes
Apply
def forever[A, B](fa: F[A]): F[B]
Repeats an applicative action infinitely
Repeats an applicative action infinitely

Definition Classes
Apply
def fpair[A](fa: F[A]): F[(A, A)]
Twin all As in fa.
Twin all As in fa.

Definition Classes
Functor
def fproduct[A, B](fa: F[A])(f: (A) ⇒ B): F[(A, B)]
Pair all As in fa with the result of function application.
Pair all As in fa with 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[_]

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 f into F.
Lift f into F.

Definition Classes
Functor
def lift10[A, B, C, D, E, FF, G, H, I, J, R](f: (A, B, C, D, E, FF, G, H, I, J) ⇒ R): (F[A], F[B], F[C], F[D], F[E], F[FF], F[G], F[H], F[I], F[J]) ⇒ F[R]

Definition Classes
Apply
def lift11[A, B, C, D, E, FF, G, H, I, J, K, R](f: (A, B, C, D, E, FF, G, H, I, J, K) ⇒ R): (F[A], F[B], F[C], F[D], F[E], F[FF], F[G], F[H], F[I], F[J], F[K]) ⇒ F[R]

Definition Classes
Apply
def lift12[A, B, C, D, E, FF, G, H, I, J, K, L, R](f: (A, B, C, D, E, FF, G, H, I, J, K, L) ⇒ R): (F[A], F[B], F[C], F[D], F[E], F[FF], F[G], F[H], F[I], F[J], F[K], F[L]) ⇒ F[R]

Definition Classes
Apply
def lift2[A, B, C](f: (A, B) ⇒ C): (F[A], F[B]) ⇒ F[C]

Definition Classes
Apply
def lift3[A, B, C, D](f: (A, B, C) ⇒ D): (F[A], F[B], F[C]) ⇒ F[D]

Definition Classes
Apply
def lift4[A, B, C, D, E](f: (A, B, C, D) ⇒ E): (F[A], F[B], F[C], F[D]) ⇒ F[E]

Definition Classes
Apply
def lift5[A, B, C, D, E, R](f: (A, B, C, D, E) ⇒ R): (F[A], F[B], F[C], F[D], F[E]) ⇒ F[R]

Definition Classes
Apply
def lift6[A, B, C, D, E, FF, R](f: (A, B, C, D, E, FF) ⇒ R): (F[A], F[B], F[C], F[D], F[E], F[FF]) ⇒ F[R]

Definition Classes
Apply
def lift7[A, B, C, D, E, FF, G, R](f: (A, B, C, D, E, FF, G) ⇒ R): (F[A], F[B], F[C], F[D], F[E], F[FF], F[G]) ⇒ F[R]

Definition Classes
Apply
def lift8[A, B, C, D, E, FF, G, H, R](f: (A, B, C, D, E, FF, G, H) ⇒ R): (F[A], F[B], F[C], F[D], F[E], F[FF], F[G], F[H]) ⇒ F[R]

Definition Classes
Apply
def lift9[A, B, C, D, E, FF, G, H, I, R](f: (A, B, C, D, E, FF, G, H, I) ⇒ R): (F[A], F[B], F[C], F[D], F[E], F[FF], F[G], F[H], F[I]) ⇒ F[R]

Definition Classes
Apply
def liftReducer[A, B](implicit r: Reducer[A, B]): Reducer[F[A], F[B]]

Definition Classes
Apply
def map[A, B](fa: F[A])(f: (A) ⇒ B): F[B]
Lift f into F and apply to F[A].
Lift f into F and apply to F[A].

Definition Classes
IsomorphismFunctor → Functor
def mapply[A, B](a: A)(f: F[(A) ⇒ B]): F[B]
Lift apply(a), and apply the result to f.
Lift apply(a), and apply the result to f.

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: Apply[G]): Apply[[α](F[α], G[α])]
The product of Applys F and G, [x](F[x], G[x]]), is a Apply
The product of Applys F and G, [x](F[x], G[x]]), is a Apply

Definition Classes
Apply
def product[G[_]](implicit G0: Functor[G]): Functor[[α](F[α], G[α])]
The product of Functors F and G, [x](F[x], G[x]]), is a Functor
The product of Functors F and G, [x](F[x], G[x]]), is a Functor

Definition Classes
Functor
def sequence1[A, G[_]](as: G[F[A]])(implicit arg0: Traverse1[G]): F[G[A]]

Definition Classes
Apply
def strengthL[A, B](a: A, f: F[B]): F[(A, B)]
Inject a to the left of Bs in f.
Inject a to the left of Bs in f.

Definition Classes
Functor
def strengthR[A, B](f: F[A], b: B): F[(A, B)]
Inject b to the right of As in f.
Inject b to the right of As in f.

Definition Classes
Functor
final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes
AnyRef
def toString(): String

Definition Classes
AnyRef → Any
def traverse1[A, G[_], B](value: G[A])(f: (A) ⇒ F[B])(implicit G: Traverse1[G]): F[G[B]]

Definition Classes
Apply
def tuple2[A, B](fa: ⇒ F[A], fb: ⇒ F[B]): F[(A, B)]

Definition Classes
Apply
def tuple3[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C]): F[(A, B, C)]

Definition Classes
Apply
def tuple4[A, B, C, D](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D]): F[(A, B, C, D)]

Definition Classes
Apply
def tuple5[A, B, C, D, E](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D], fe: ⇒ F[E]): F[(A, B, C, D, E)]

Definition Classes
Apply
def unfoldrOpt[S, A, B](seed: S)(f: (S) ⇒ Maybe[(F[A], S)])(implicit R: Reducer[A, B]): Maybe[F[B]]
Unfold seed to the right and combine effects left-to-right, using the given Reducer to combine values.
Unfold seed to the right and combine effects left-to-right, using the given Reducer to combine values. Implementations may override this method to not unfold more than is necessary to determine the result.

Definition Classes
Apply
def void[A](fa: F[A]): F[Unit]
Empty fa of meaningful pure values, preserving its structure.
Empty fa of meaningful pure values, preserving its structure.

Definition Classes
Functor
final def wait(): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long, arg1: Int): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long): Unit

Definition Classes
AnyRef
Annotations
@throws( ... ) @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 an F[B] if A is a subtype of B.
Functors are covariant by nature, so we can treat an F[A] as an F[B] if A is a subtype of B.

Definition Classes
Functor
def xmap[A, B](ma: F[A], f: (A) ⇒ B, g: (B) ⇒ A): F[B]
Converts ma to a value of type F[B] using the provided functions f and g.
Converts ma to a value of type F[B] using the provided functions f and g.

Definition Classes
IsomorphismInvariantFunctor → InvariantFunctor
def xmapb[A, B](ma: F[A])(b: Bijection[A, B]): F[B]
Converts ma to a value of type F[B] using the provided bijection.
Converts ma to a value of type F[B] using the provided bijection.

Definition Classes
InvariantFunctor
def xmapi[A, B](ma: F[A])(iso: Isomorphism.<=>[A, B]): F[B]
Converts ma to a value of type F[B] using the provided isomorphism.
Converts ma to a value of type F[B] using the provided isomorphism.

Definition Classes
InvariantFunctor

Packages

IsomorphismApply

trait IsomorphismApply[F[_], G[_]] extends Apply[F] with IsomorphismFunctor[F, G]

Type Members

Abstract Value Members

Concrete Value Members

Inherited from IsomorphismFunctor[F, G]

Inherited from IsomorphismInvariantFunctor[F, G]

Inherited from Apply[F]

Inherited from Functor[F]

Inherited from InvariantFunctor[F]

Inherited from AnyRef

Inherited from Any

Ungrouped

Packages

IsomorphismApply 

trait IsomorphismApply[F[_], G[_]] extends Apply[F] with IsomorphismFunctor[F, G]

Type Members

Abstract Value Members

Concrete Value Members

Inherited from IsomorphismFunctor[F, G]

Inherited from IsomorphismInvariantFunctor[F, G]

Inherited from Apply[F]

Inherited from Functor[F]

Inherited from InvariantFunctor[F]

Inherited from AnyRef

Inherited from Any

Ungrouped

IsomorphismApply