Packages

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 apply2, apply3, ... )

Applicative instances come in a few flavours:

  • All scalaz.Monads are also Applicative
  • Any scalaz.Monoid can be treated as an Applicative (see scalaz.Monoid#applicative)
  • Zipping together corresponding elements of Naperian data structures (those of of a fixed, possibly infinite shape)
Self Type
Applicative[F]
Source
Applicative.scala
See also

scalaz.Applicative.ApplicativeLaw

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  1. Applicative
  2. Apply
  3. Functor
  4. InvariantFunctor
  5. AnyRef
  6. Any
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Type Members

  1. trait ApplicativeLaw extends ApplyLaw
  2. trait ApplyLaw extends FunctorLaw
    Definition Classes
    Apply
  3. trait FlippedApply extends Apply[F]
    Attributes
    protected[this]
    Definition Classes
    Apply
  4. trait FunctorLaw extends InvariantFunctorLaw
    Definition Classes
    Functor
  5. trait InvariantFunctorLaw extends AnyRef
    Definition Classes
    InvariantFunctor

Abstract Value Members

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

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. def ap2[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B])(f: F[(A, B) ⇒ C]): F[C]
    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]
    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]
    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]
    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]
    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]
    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]
    Definition Classes
    Apply
  11. def apF[A, B](f: ⇒ F[(A) ⇒ B]): (F[A]) ⇒ F[B]

    Flipped variant of ap.

    Flipped variant of ap.

    Definition Classes
    Apply
  12. def applicativeLaw: ApplicativeLaw
  13. val applicativeSyntax: ApplicativeSyntax[F]
  14. def apply[A, B](fa: F[A])(f: (A) ⇒ B): F[B]

    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]
    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]
    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]
    Definition Classes
    Apply
  18. def apply2[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B])(f: (A, B) ⇒ C): F[C]
    Definition Classes
    ApplicativeApply
  19. 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
  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]
    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]
    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]
    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]
    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]
    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]
    Definition Classes
    Apply
  26. 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
  27. def applyLaw: ApplyLaw
    Definition Classes
    Apply
  28. val applySyntax: ApplySyntax[F]
    Definition Classes
    Apply
  29. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  30. 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
  31. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  32. 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

  33. 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
  34. 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
  35. def counzip[A, B](a: \/[F[A], F[B]]): F[\/[A, B]]
    Definition Classes
    Functor
  36. 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
  37. 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
  38. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  39. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  40. def filterM[A](l: IList[A])(f: (A) ⇒ F[Boolean]): F[IList[A]]

    Filter l according to an applicative predicate.

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

    Filter l according to an applicative predicate.

  42. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  43. 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
    ApplicativeApply
  44. def forever[A, B](fa: F[A]): F[B]

    Repeats an applicative action infinitely

    Repeats an applicative action infinitely

    Definition Classes
    Apply
  45. def fpair[A](fa: F[A]): F[(A, A)]

    Twin all As in fa.

    Twin all As in fa.

    Definition Classes
    Functor
  46. 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
  47. def functorLaw: FunctorLaw
    Definition Classes
    Functor
  48. val functorSyntax: FunctorSyntax[F]
    Definition Classes
    Functor
  49. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  50. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  51. 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
  52. def invariantFunctorLaw: InvariantFunctorLaw
    Definition Classes
    InvariantFunctor
  53. val invariantFunctorSyntax: InvariantFunctorSyntax[F]
    Definition Classes
    InvariantFunctor
  54. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  55. def lift[A, B](f: (A) ⇒ B): (F[A]) ⇒ F[B]

    Lift f into F.

    Lift f into F.

    Definition Classes
    Functor
  56. 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
  57. 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
  58. 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
  59. def lift2[A, B, C](f: (A, B) ⇒ C): (F[A], F[B]) ⇒ F[C]
    Definition Classes
    Apply
  60. def lift3[A, B, C, D](f: (A, B, C) ⇒ D): (F[A], F[B], F[C]) ⇒ F[D]
    Definition Classes
    Apply
  61. 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
  62. 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
  63. 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
  64. 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
  65. 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
  66. 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
  67. 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
    ApplicativeFunctor
  68. 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
  69. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  70. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  71. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  72. 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

  73. 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
  74. 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
  75. final def pure[A](a: ⇒ A): F[A]
  76. def replicateM[A](n: Int, fa: F[A]): F[IList[A]]

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

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

    Performs the action n times, returning nothing.

  78. def sequence[A, G[_]](as: G[F[A]])(implicit arg0: Traverse[G]): F[G[A]]
  79. def sequence1[A, G[_]](as: G[F[A]])(implicit arg0: Traverse1[G]): F[G[A]]
    Definition Classes
    Apply
  80. 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
  81. 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
  82. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  83. def toString(): String
    Definition Classes
    AnyRef → Any
  84. def traverse[A, G[_], B](value: G[A])(f: (A) ⇒ F[B])(implicit G: Traverse[G]): F[G[B]]
  85. def traverse1[A, G[_], B](value: G[A])(f: (A) ⇒ F[B])(implicit G: Traverse1[G]): F[G[B]]
    Definition Classes
    Apply
  86. def tuple2[A, B](fa: ⇒ F[A], fb: ⇒ F[B]): F[(A, B)]
    Definition Classes
    Apply
  87. def tuple3[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B], fc: ⇒ F[C]): F[(A, B, C)]
    Definition Classes
    Apply
  88. 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
  89. 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
  90. def unlessM[A](cond: Boolean)(f: ⇒ F[A]): F[Unit]

    Returns the given argument if cond is false, otherwise, unit lifted into F.

  91. 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
  92. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  93. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  94. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  95. def whenM[A](cond: Boolean)(f: ⇒ F[A]): F[Unit]

    Returns the given argument if cond is true, otherwise, unit lifted into F.

  96. 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
  97. 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
    FunctorInvariantFunctor
  98. 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
  99. 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

Inherited from Apply[F]

Inherited from Functor[F]

Inherited from InvariantFunctor[F]

Inherited from AnyRef

Inherited from Any

Ungrouped