scalaz

IsomorphismMonad

trait IsomorphismMonad[F[_], G[_]] extends IsomorphismApplicative[F, G] with IsomorphismBind[F, G]

Source
Isomorphism.scala
Linear Supertypes
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Inherited
  1. IsomorphismMonad
  2. IsomorphismBind
  3. Bind
  4. IsomorphismApplicative
  5. IsomorphismPointed
  6. IsomorphismApply
  7. IsomorphismFunctor
  8. Applicative
  9. Pointed
  10. Apply
  11. Functor
  12. AnyRef
  13. Any
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Type Members

  1. trait ApplicativeLaw extends FunctorLaw

    Definition Classes
    Applicative
  2. trait FunctorLaw extends AnyRef

    Definition Classes
    Functor

Abstract Value Members

  1. implicit abstract def G: Monad[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]

    Definition Classes
    BindApply
  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]

    Definition Classes
    Apply
  15. def applicativeLaw: ApplicativeLaw

    Definition Classes
    Applicative
  16. val applicativeSyntax: ApplicativeSyntax[F]

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

    Alias for map.

    Alias for map.

    Definition Classes
    Functor
  18. 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
  19. 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
  20. 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
  21. def apply2[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B])(f: (A, B) ⇒ C): F[C]

    Definition Classes
    ApplicativeApply
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. val applySyntax: ApplySyntax[F]

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

    Definition Classes
    Any
  31. 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
  32. val bindSyntax: BindSyntax[F]

    Definition Classes
    Bind
  33. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws()
  34. 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
  35. def compose[G[_]](implicit G0: Pointed[G]): Pointed[[α]F[G[α]]]

    The composition of Pointeds F and G, [x]F[G[x]], is a Pointed

    The composition of Pointeds F and G, [x]F[G[x]], is a Pointed

    Definition Classes
    Pointed
  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()
  42. 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
  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 functorLaw: FunctorLaw

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

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

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

    Definition Classes
    AnyRef → Any
  48. 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
  49. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  50. 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
  51. def lift[A, B](f: (A) ⇒ B): (F[A]) ⇒ F[B]

    Lift f into F.

    Lift f into F.

    Definition Classes
    Functor
  52. 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
  53. 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
  54. 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
  55. def lift2[A, B, C](f: (A, B) ⇒ C): (F[A], F[B]) ⇒ F[C]

    Definition Classes
    Apply
  56. def lift3[A, B, C, D](f: (A, B, C) ⇒ D): (F[A], F[B], F[C]) ⇒ F[D]

    Definition Classes
    Apply
  57. 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
  58. 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
  59. 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
  60. 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
  61. 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
  62. 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
  63. 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
  64. 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
  65. final def ne(arg0: AnyRef): Boolean

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

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

    Definition Classes
    AnyRef
  68. def point[A](a: ⇒ A): F[A]

    Definition Classes
    IsomorphismPointedPointed
  69. val pointedSyntax: PointedSyntax[F]

    Definition Classes
    Pointed
  70. 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
  71. def product[G[_]](implicit G0: Pointed[G]): Pointed[[α](F[α], G[α])]

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

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

    Definition Classes
    Pointed
  72. 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
  73. 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
  74. def pure[A](a: ⇒ A): F[A]

    alias for point

    alias for point

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

    Definition Classes
    Applicative
  76. 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
  77. 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
  78. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  79. def toString(): String

    Definition Classes
    AnyRef → Any
  80. def traverse[A, G[_], B](value: G[A])(f: (A) ⇒ F[B])(implicit G: Traverse[G]): F[G[B]]

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

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

    Definition Classes
    Apply
  83. 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
  84. 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
  85. 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
  86. final def wait(): Unit

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws()
  89. def zip: Zip[F]

    Definition Classes
    Apply

Deprecated Value Members

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

    Definition Classes
    Apply
    Annotations
    @deprecated
    Deprecated

    (Since version 7) given F: Apply[F] use F(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]

    Definition Classes
    Apply
    Annotations
    @deprecated
    Deprecated

    (Since version 7) given F: Apply[F] use F(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]

    Definition Classes
    Apply
    Annotations
    @deprecated
    Deprecated

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

Inherited from IsomorphismBind[F, G]

Inherited from Bind[F]

Inherited from IsomorphismApplicative[F, G]

Inherited from IsomorphismPointed[F, G]

Inherited from IsomorphismApply[F, G]

Inherited from IsomorphismFunctor[F, G]

Inherited from Applicative[F]

Inherited from Pointed[F]

Inherited from Apply[F]

Inherited from Functor[F]

Inherited from AnyRef

Inherited from Any

Ungrouped