IsomorphismApplicative

trait IsomorphismApplicative[F[_], G[_]] extends Applicative[F] with IsomorphismApply[F, G]

Source: Isomorphism.scala

Linear Supertypes

IsomorphismApply[F, G], IsomorphismFunctor[F, G], Applicative[F], ApplicativeParent[F], Apply[F], ApplyParent[F], Functor[F], InvariantFunctor[F], AnyRef, Any

Known Subclasses

IsomorphismApplicativePlus, IsomorphismMonad, IsomorphismMonadError, IsomorphismMonadPlus, IsomorphismMonadReader, IsomorphismMonadState, IsomorphismMonadTell, IsomorphismNondeterminism, IsomorphismMonadCatchIO, IsomorphismMonadControlIO, IsomorphismMonadIO

Ordering

Alphabetic
By Inheritance

Inherited

IsomorphismApplicative
IsomorphismApply
IsomorphismFunctor
Applicative
ApplicativeParent
Apply
ApplyParent
Functor
InvariantFunctor
AnyRef
Any

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Visibility

Public
All

Type Members

trait ApplicativeLaw extends ApplyLaw

Definition Classes
Applicative
trait ApplyLaw extends FunctorLaw

Definition Classes
Apply
trait FunctorLaw extends InvariantFunctorLaw

Definition Classes
Functor
trait InvariantFunctorLaw extends AnyRef

Definition Classes
InvariantFunctor

Abstract Value Members

implicit abstract def G: Applicative[G]

Definition Classes
IsomorphismApplicative → IsomorphismApply → IsomorphismFunctor
abstract def iso: Isomorphism.<~>[F, G]

Definition Classes
IsomorphismFunctor

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
IsomorphismApplicative → 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 applicativeLaw: ApplicativeLaw

Definition Classes
Applicative
val applicativeSyntax: ApplicativeSyntax[F]

Definition Classes
Applicative
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
IsomorphismApplicative → Applicative → 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 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: Applicative[G]): Applicative[[α]F[G[α]]]
The composition of Applicatives F and G, [x]F[G[x]], is an Applicative
The composition of Applicatives F and G, [x]F[G[x]], is an Applicative

Definition Classes
Applicative
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
ApplyParent
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
ApplyParent
final def eq(arg0: AnyRef): Boolean

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

Definition Classes
AnyRef → Any
def filterM[A](l: List[A])(f: (A) ⇒ F[Boolean]): F[List[A]]
Filter l according to an applicative predicate.
Filter l according to an applicative predicate.

Definition Classes
Applicative
def finalize(): Unit

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

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

Definition Classes
ApplyParent
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 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 par: Par[F]
A lawful implementation of this that is isomorphic up to the methods defined on Applicative allowing for optimised parallel implementations that would otherwise violate laws of more specific typeclasses (e.g.
A lawful implementation of this that is isomorphic up to the methods defined on Applicative allowing for optimised parallel implementations that would otherwise violate laws of more specific typeclasses (e.g. Monad).

Definition Classes
ApplicativeParent
def point[A](a: ⇒ A): F[A]

Definition Classes
IsomorphismApplicative → Applicative
def product[G[_]](implicit G0: Applicative[G]): Applicative[[α](F[α], G[α])]
The product of Applicatives F and G, [x](F[x], G[x]]), is an Applicative
The product of Applicatives F and G, [x](F[x], G[x]]), is an Applicative

Definition Classes
Applicative
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
final def pure[A](a: ⇒ A): F[A]

Definition Classes
Applicative
def replicateM[A](n: Int, fa: F[A]): F[List[A]]
Performs the action n times, returning the list of results.
Performs the action n times, returning the list of results.

Definition Classes
Applicative
def replicateM_[A](n: Int, fa: F[A]): F[Unit]
Performs the action n times, returning nothing.
Performs the action n times, returning nothing.

Definition Classes
Applicative
def sequence[A, G[_]](as: G[F[A]])(implicit arg0: Traverse[G]): F[G[A]]

Definition Classes
Applicative
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 traverse[A, G[_], B](value: G[A])(f: (A) ⇒ F[B])(implicit G: Traverse[G]): F[G[B]]

Definition Classes
Applicative
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 unlessM[A](cond: Boolean)(f: ⇒ F[A]): F[Unit]
Returns the given argument if cond is false, otherwise, unit lifted into F.
Returns the given argument if cond is false, otherwise, unit lifted into F.

Definition Classes
Applicative
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 whenM[A](cond: Boolean)(f: ⇒ F[A]): F[Unit]
Returns the given argument if cond is true, otherwise, unit lifted into F.
Returns the given argument if cond is true, otherwise, unit lifted into F.

Definition Classes
Applicative
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](fa: 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
Functor → 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

IsomorphismApplicative

trait IsomorphismApplicative[F[_], G[_]] extends Applicative[F] with IsomorphismApply[F, G]

Type Members

Abstract Value Members

Concrete Value Members

Inherited from IsomorphismApply[F, G]

Inherited from IsomorphismFunctor[F, G]

Inherited from Applicative[F]

Inherited from ApplicativeParent[F]

Inherited from Apply[F]

Inherited from ApplyParent[F]

Inherited from Functor[F]

Inherited from InvariantFunctor[F]

Inherited from AnyRef

Inherited from Any

Ungrouped

Packages

IsomorphismApplicative 

trait IsomorphismApplicative[F[_], G[_]] extends Applicative[F] with IsomorphismApply[F, G]

Type Members

Abstract Value Members

Concrete Value Members

Inherited from IsomorphismApply[F, G]

Inherited from IsomorphismFunctor[F, G]

Inherited from Applicative[F]

Inherited from ApplicativeParent[F]

Inherited from Apply[F]

Inherited from ApplyParent[F]

Inherited from Functor[F]

Inherited from InvariantFunctor[F]

Inherited from AnyRef

Inherited from Any

Ungrouped

IsomorphismApplicative