Trait/Object

scalaz

Applicative

Related Docs: object Applicative | package scalaz

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trait Applicative[F[_]] extends Apply[F]

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 map2, map3, ... )

Applicative instances come in a few flavours:

Self Type
Applicative[F]
Source
Applicative.scala
See also

scalaz.Applicative.ApplicativeLaw

Linear Supertypes
Apply[F], Functor[F], AnyRef, Any
Known Subclasses
ApplicativePlus, IsomorphismApplicative, IsomorphismApplicativePlus, IsomorphismMonad, IsomorphismMonadPlus, Monad, MonadListen, MonadPlus, MonadReader, MonadState, MonadTell, Nondeterminism
Ordering
  1. Alphabetic
  2. By inheritance
Inherited
  1. Applicative
  2. Apply
  3. Functor
  4. AnyRef
  5. Any
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Visibility
  1. Public
  2. All

Type Members

  1. trait ApplicativeLaw extends FunctorLaw

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  2. trait FunctorLaw extends AnyRef

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    Definition Classes
    Functor

Abstract Value Members

  1. abstract def ap[A, B](fa: ⇒ F[A])(f: ⇒ F[(A) ⇒ B]): F[B]

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    Definition Classes
    Apply

  2. abstract def point[A](a: ⇒ A): F[A]

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Concrete Value Members

  1. final def !=(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any

  2. final def ##(): Int

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    Definition Classes
    AnyRef → Any

  3. final def ==(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any

  4. def ap2[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B])(f: F[(A, B) ⇒ C]): F[C]

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    Definition Classes
    Apply

  5. def ap3[A, B, C, D](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C])(f: F[(A, B, C) ⇒ D]): F[D]

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    Definition Classes
    Apply

  6. 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]

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    Definition Classes
    Apply

  7. 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]

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    Definition Classes
    Apply

  8. 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]

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    Definition Classes
    Apply

  9. 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]

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    Definition Classes
    Apply

  10. 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]

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    Definition Classes
    Apply

  11. def apF[A, B](f: ⇒ F[(A) ⇒ B]): (F[A]) ⇒ F[B]

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    Flipped variant of ap.

    Flipped variant of ap.

    Definition Classes
    Apply

  12. def applicativeLaw: ApplicativeLaw

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  13. val applicativeSyntax: ApplicativeSyntax[F]

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  14. def apply[A, B](fa: F[A])(f: (A) ⇒ B): F[B]

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    Alias for map.

    Alias for map.

    Definition Classes
    Functor

  15. 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]

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    Definition Classes
    Apply

  16. 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]

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    Definition Classes
    Apply

  17. 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]

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    Definition Classes
    Apply

  18. def apply2[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B])(f: (A, B) ⇒ C): F[C]

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    Definition Classes
    Applicative → Apply

  19. def apply3[A, B, C, D](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C])(f: (A, B, C) ⇒ D): F[D]

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    Definition Classes
    Apply

  20. 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]

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    Definition Classes
    Apply

  21. 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]

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    Definition Classes
    Apply

  22. 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]

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    Definition Classes
    Apply

  23. 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]

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    Definition Classes
    Apply

  24. 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]

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    Definition Classes
    Apply

  25. 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]

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    Definition Classes
    Apply

  26. val applySyntax: ApplySyntax[F]

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    Definition Classes
    Apply

  27. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any

  28. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  29. def compose[G[_]](implicit G0: Applicative[G]): Applicative[[α]F[G[α]]]

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    The composition of Applicatives F and G, [x]F[G[x]], is an Applicative

  30. def compose[G[_]](implicit G0: Apply[G]): Apply[[α]F[G[α]]]

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    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

  31. def compose[G[_]](implicit G0: Functor[G]): Functor[[α]F[G[α]]]

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    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

  32. def counzip[A, B](a: \/[F[A], F[B]]): F[\/[A, B]]

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    Definition Classes
    Functor

  33. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef

  34. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any

  35. def filterM[A](l: List[A])(f: (A) ⇒ F[Boolean]): F[List[A]]

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    Filter l according to an applicative predicate.

  36. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )

  37. def flip: Applicative[F]

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    An Applicative for F in which effects happen in the opposite order.

  38. def fpair[A](fa: F[A]): F[(A, A)]

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    Twin all As in fa.

    Twin all As in fa.

    Definition Classes
    Functor

  39. def fproduct[A, B](fa: F[A])(f: (A) ⇒ B): F[(A, B)]

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    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

  40. def functorLaw: FunctorLaw

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    Definition Classes
    Functor

  41. val functorSyntax: FunctorSyntax[F]

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    Definition Classes
    Functor

  42. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any

  43. def hashCode(): Int

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    Definition Classes
    AnyRef → Any

  44. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any

  45. def lift[A, B](f: (A) ⇒ B): (F[A]) ⇒ F[B]

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    Lift f into F.

    Lift f into F.

    Definition Classes
    Functor

  46. 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]

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    Definition Classes
    Apply

  47. 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]

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    Definition Classes
    Apply

  48. 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]

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    Definition Classes
    Apply

  49. def lift2[A, B, C](f: (A, B) ⇒ C): (F[A], F[B]) ⇒ F[C]

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    Definition Classes
    Apply

  50. def lift3[A, B, C, D](f: (A, B, C) ⇒ D): (F[A], F[B], F[C]) ⇒ F[D]

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    Definition Classes
    Apply

  51. def lift4[A, B, C, D, E](f: (A, B, C, D) ⇒ E): (F[A], F[B], F[C], F[D]) ⇒ F[E]

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    Definition Classes
    Apply

  52. 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]

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    Definition Classes
    Apply

  53. 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]

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    Definition Classes
    Apply

  54. 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]

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    Definition Classes
    Apply

  55. 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]

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    Definition Classes
    Apply

  56. 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]

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    Definition Classes
    Apply

  57. def map[A, B](fa: F[A])(f: (A) ⇒ B): F[B]

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    Lift f into F and apply to F[A].

    Lift f into F and apply to F[A].

    Definition Classes
    Applicative → Functor

  58. def mapply[A, B](a: A)(f: F[(A) ⇒ B]): F[B]

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    Lift apply(a), and apply the result to f.

    Lift apply(a), and apply the result to f.

    Definition Classes
    Functor

  59. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef

  60. final def notify(): Unit

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    AnyRef

  61. final def notifyAll(): Unit

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    Definition Classes
    AnyRef

  62. def product[G[_]](implicit G0: Applicative[G]): Applicative[[α](F[α], G[α])]

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    The product of Applicatives F and G, [x](F[x], G[x]]), is an Applicative

  63. def product[G[_]](implicit G0: Apply[G]): Apply[[α](F[α], G[α])]

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    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

  64. def product[G[_]](implicit G0: Functor[G]): Functor[[α](F[α], G[α])]

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    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

  65. def pure[A](a: ⇒ A): F[A]

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  66. def replicateM[A](n: Int, fa: F[A]): F[List[A]]

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    Performs the action n times, returning the list of results.

  67. def replicateM_[A](n: Int, fa: F[A]): F[Unit]

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    Performs the action n times, returning nothing.

  68. def sequence[A, G[_]](as: G[F[A]])(implicit arg0: Traverse[G]): F[G[A]]

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  69. def sequence1[A, G[_]](as: G[F[A]])(implicit arg0: Traverse1[G]): F[G[A]]

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    Definition Classes
    Apply

  70. def strengthL[A, B](a: A, f: F[B]): F[(A, B)]

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    Inject a to the left of Bs in f.

    Inject a to the left of Bs in f.

    Definition Classes
    Functor

  71. def strengthR[A, B](f: F[A], b: B): F[(A, B)]

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    Inject b to the right of As in f.

    Inject b to the right of As in f.

    Definition Classes
    Functor

  72. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef

  73. def toString(): String

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    Definition Classes
    AnyRef → Any

  74. def traverse[A, G[_], B](value: G[A])(f: (A) ⇒ F[B])(implicit G: Traverse[G]): F[G[B]]

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  75. def traverse1[A, G[_], B](value: G[A])(f: (A) ⇒ F[B])(implicit G: Traverse1[G]): F[G[B]]

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    Definition Classes
    Apply

  76. def tuple2[A, B](fa: ⇒ F[A], fb: ⇒ F[B]): F[(A, B)]

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    Definition Classes
    Apply

  77. def tuple3[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B], fc: F[C]): F[(A, B, C)]

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    Definition Classes
    Apply

  78. def tuple4[A, B, C, D](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C], fd: ⇒ F[D]): F[(A, B, C, D)]

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    Definition Classes
    Apply

  79. 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)]

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    Definition Classes
    Apply

  80. def void[A](fa: F[A]): F[Unit]

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    Empty fa of meaningful pure values, preserving its structure.

    Empty fa of meaningful pure values, preserving its structure.

    Definition Classes
    Functor

  81. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  82. final def wait(arg0: Long, arg1: Int): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  83. final def wait(arg0: Long): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Deprecated Value Members

  1. def map2[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B])(f: (A, B) ⇒ C): F[C]

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    Definition Classes
    Apply
    Annotations
    @deprecated
    Deprecated

    (Since version 7) given F: Apply[F] use F.apply2(a,b)(f) instead, or given implicitly[Apply[F]], use ^(a,b)(f)

  2. def map3[A, B, C, D](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C])(f: (A, B, C) ⇒ D): F[D]

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    Definition Classes
    Apply
    Annotations
    @deprecated
    Deprecated

    (Since version 7) given F: Apply[F] use F.apply3(a,b,c)(f) instead, or given implicitly[Apply[F]], use ^^(a,b,c)(f)

  3. def map4[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]

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    Definition Classes
    Apply
    Annotations
    @deprecated
    Deprecated

    (Since version 7) given F: Apply[F] use F.apply4(a,b,c,d)(f) instead, or given implicitly[Apply[F]], use ^^^(a,b,c,d)(f)

  4. def zip: Zip[F]

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    scalaz.Zip derived from tuple2.

    scalaz.Zip derived from tuple2.

    Definition Classes
    Apply
    Annotations
    @deprecated
    Deprecated

    (Since version 7.1.0) Apply#zip produces unlawful instances

Inherited from Apply[F]

Inherited from Functor[F]

Inherited from AnyRef

Inherited from Any

Ungrouped