scalaz

IsomorphismBind

trait IsomorphismBind[F[_], G[_]] extends Bind[F] with IsomorphismApply[F, G]

Source
Isomorphism.scala
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Inherited
  1. IsomorphismBind
  2. IsomorphismApply
  3. IsomorphismFunctor
  4. Bind
  5. BindParent
  6. Apply
  7. ApplyParent
  8. Functor
  9. InvariantFunctor
  10. AnyRef
  11. Any
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Type Members

  1. trait ApplyLaw extends FunctorLaw

    Definition Classes
    Apply
  2. trait BindLaw extends ApplyLaw

    Definition Classes
    Bind
  3. trait FunctorLaw extends InvariantFunctorLaw

    Definition Classes
    Functor
  4. trait InvariantFunctorLaw extends AnyRef

    Definition Classes
    InvariantFunctor

Abstract Value Members

  1. implicit abstract def G: Bind[G]

  2. abstract def iso: Isomorphism.<~>[F, G]

    Definition Classes
    IsomorphismFunctor

Concrete Value Members

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

    Definition Classes
    AnyRef
  2. final def !=(arg0: Any): Boolean

    Definition Classes
    Any
  3. final def ##(): Int

    Definition Classes
    AnyRef → Any
  4. final def ==(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  5. final def ==(arg0: Any): Boolean

    Definition Classes
    Any
  6. 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
    IsomorphismApplyApply
  7. def ap2[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B])(f: F[(A, B) ⇒ C]): F[C]

    Definition Classes
    Apply
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. def apF[A, B](f: ⇒ F[(A) ⇒ B]): (F[A]) ⇒ F[B]

    Flipped variant of ap.

    Flipped variant of ap.

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

    Alias for map.

    Alias for map.

    Definition Classes
    Functor
  16. 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
  17. 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
  18. 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
  19. def apply2[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B])(f: (A, B) ⇒ C): F[C]

    Definition Classes
    Apply
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. def applyLaw: ApplyLaw

    Definition Classes
    Apply
  29. val applySyntax: ApplySyntax[F]

    Definition Classes
    Apply
  30. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  31. 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
  32. def bind[A, B](fa: F[A])(f: (A) ⇒ F[B]): F[B]

    Equivalent to join(map(fa)(f)).

    Equivalent to join(map(fa)(f)).

    Definition Classes
    IsomorphismBindBind
  33. def bindLaw: BindLaw

    Definition Classes
    Bind
  34. val bindSyntax: BindSyntax[F]

    Definition Classes
    Bind
  35. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  36. 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
  37. 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
  38. def counzip[A, B](a: \/[F[A], F[B]]): F[\/[A, B]]

    Definition Classes
    Functor
  39. final def eq(arg0: AnyRef): Boolean

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

    Definition Classes
    AnyRef → Any
  41. def finalize(): Unit

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

    Repeats a monadic action infinitely

    Repeats a monadic action infinitely

    Definition Classes
    BindBindParent
  43. def fpair[A](fa: F[A]): F[(A, A)]

    Twin all As in fa.

    Twin all As in fa.

    Definition Classes
    Functor
  44. 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
  45. def functorLaw: FunctorLaw

    Definition Classes
    Functor
  46. val functorSyntax: FunctorSyntax[F]

    Definition Classes
    Functor
  47. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any
  48. def hashCode(): Int

    Definition Classes
    AnyRef → Any
  49. 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
  50. def ifM[B](value: F[Boolean], ifTrue: ⇒ F[B], ifFalse: ⇒ F[B]): F[B]

    if lifted into a binding.

    if lifted into a binding. Unlike lift3((t,c,a)=>if(t)c else a), this will only include context from the chosen of ifTrue and ifFalse, not the other.

    Definition Classes
    Bind
  51. def invariantFunctorLaw: InvariantFunctorLaw

    Definition Classes
    InvariantFunctor
  52. val invariantFunctorSyntax: InvariantFunctorSyntax[F]

    Definition Classes
    InvariantFunctor
  53. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  54. def join[A](ffa: F[F[A]]): F[A]

    Sequence the inner F of FFA after the outer F, forming a single F[A].

    Sequence the inner F of FFA after the outer F, forming a single F[A].

    Definition Classes
    Bind
  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
    IsomorphismFunctorFunctor
  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. def mproduct[A, B](fa: F[A])(f: (A) ⇒ F[B]): F[(A, B)]

    Pair A with the result of function application.

    Pair A with the result of function application.

    Definition Classes
    Bind
  70. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  71. final def notify(): Unit

    Definition Classes
    AnyRef
  72. final def notifyAll(): Unit

    Definition Classes
    AnyRef
  73. def product[G[_]](implicit G0: Bind[G]): Bind[[α](F[α], G[α])]

    The product of Bind F and G, [x](F[x], G[x]]), is a Bind

    The product of Bind F and G, [x](F[x], G[x]]), is a Bind

    Definition Classes
    Bind
  74. 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
  75. 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
  76. def sequence1[A, G[_]](as: G[F[A]])(implicit arg0: Traverse1[G]): F[G[A]]

    Definition Classes
    Apply
  77. 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
  78. 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
  79. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  80. def toString(): String

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

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

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

    Definition Classes
    Apply
  84. 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
  85. 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
  86. 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
  87. final def wait(): Unit

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  90. 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
  91. 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
  92. 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
  93. 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 IsomorphismApply[F, G]

Inherited from IsomorphismFunctor[F, G]

Inherited from Bind[F]

Inherited from BindParent[F]

Inherited from Apply[F]

Inherited from ApplyParent[F]

Inherited from Functor[F]

Inherited from InvariantFunctor[F]

Inherited from AnyRef

Inherited from Any

Ungrouped