Applicative
Related Docs:
object Applicative
| package scalaz
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".
Flipped variant of ap.
Flipped variant of ap.
Alias for map.
Alias for map.
Add a unit to any Apply to form an Applicative.
Add a unit to any Apply to form an Applicative.
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
The composition of Applicatives F and G, [x]F[G[x]], is an Applicative
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
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
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)
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)
Filter l according to an applicative predicate.
Filter l according to an applicative predicate.
An Applicative for F in which effects happen in the opposite order.
An Applicative for F in which effects happen in the opposite order.
Repeats an applicative action infinitely
Repeats an applicative action infinitely
Twin all As in fa.
Twin all As in fa.
Pair all As in fa with the result of function application.
Pair all As in fa with the result of function application.
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.
Lift f into F.
Lift f into F.
Lift f into F and apply to F[A].
Lift f into F and apply to F[A].
Lift apply(a), and apply the result to f.
Lift apply(a), and apply the result to 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).
Semigroups can be added within an Applicative
The product of Applicatives F and G, [x](F[x], G[x]]), is an Applicative
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
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
Performs the action n times, returning the list of results.
Performs the action n times, returning nothing.
Inject a to the left of Bs in f.
Inject a to the left of Bs in f.
Inject b to the right of As in f.
Inject b to the right of As in f.
Unfold seed to the right and combine effects left-to-right,
using the given Reducer to combine values.
Returns the given argument if cond is false, otherwise, unit lifted into F.
Empty fa of meaningful pure values, preserving its
structure.
Empty fa of meaningful pure values, preserving its
structure.
Returns the given argument if cond is true, otherwise, unit lifted into F.
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.
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.
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.
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.
Applicative Functor, described in Applicative Programming with Effects
Whereas a scalaz.Functor allows application of a pure function to a value in a context, an Applicative also allows application of a function in a context to a value in a context (
ap).It follows that a pure function can be applied to arguments in a context. (See
apply2,apply3, ... )Applicative instances come in a few flavours:
Applicativescalaz.Applicative.ApplicativeLaw