scalaz

IsomorphismTraverse

trait IsomorphismTraverse[F[_], G[_]] extends Traverse[F] with IsomorphismFoldable[F, G] with IsomorphismFunctor[F, G]

Source
Isomorphism.scala
Linear Supertypes
IsomorphismFunctor[F, G], IsomorphismFoldable[F, G], Traverse[F], Foldable[F], Functor[F], AnyRef, Any
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Inherited
  1. IsomorphismTraverse
  2. IsomorphismFunctor
  3. IsomorphismFoldable
  4. Traverse
  5. Foldable
  6. Functor
  7. AnyRef
  8. Any
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  1. Public
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Type Members

  1. trait FunctorLaw extends AnyRef

    Definition Classes
    Functor
  2. class Traversal[G[_]] extends AnyRef

    Definition Classes
    Traverse
  3. trait TraverseLaw extends FunctorLaw

    Definition Classes
    Traverse

Abstract Value Members

  1. implicit abstract def G: Traverse[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 all[A](fa: F[A])(p: (A) ⇒ Boolean): Boolean

    Whether all As in fa yield true from p.

    Whether all As in fa yield true from p.

    Definition Classes
    Foldable
  7. def allM[G[_], A](fa: F[A])(p: (A) ⇒ G[Boolean])(implicit G: Monad[G]): G[Boolean]

    all with monadic traversal.

    all with monadic traversal.

    Definition Classes
    Foldable
  8. def any[A](fa: F[A])(p: (A) ⇒ Boolean): Boolean

    Whether any As in fa yield true from p.

    Whether any As in fa yield true from p.

    Definition Classes
    Foldable
  9. def anyM[G[_], A](fa: F[A])(p: (A) ⇒ G[Boolean])(implicit G: Monad[G]): G[Boolean]

    any with monadic traversal.

    any with monadic traversal.

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

    Alias for map.

    Alias for map.

    Definition Classes
    Functor
  11. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  12. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  13. def collapse[X[_], A](x: F[A])(implicit F: Foldable[F], A: ApplicativePlus[X]): X[A]

    Definition Classes
    Foldable
  14. def collapse2[G[_], X[_], A](x: F[G[A]])(implicit F: Foldable[F], G: Foldable[G], A: ApplicativePlus[X]): X[A]

    Definition Classes
    Foldable
  15. def collapse3[G[_], H[_], X[_], A](x: F[G[H[A]]])(implicit F: Foldable[F], G: Foldable[G], H: Foldable[H], A: ApplicativePlus[X]): X[A]

    Definition Classes
    Foldable
  16. def collapse4[G[_], H[_], I[_], X[_], A](x: F[G[H[I[A]]]])(implicit F: Foldable[F], G: Foldable[G], H: Foldable[H], I: Foldable[I], A: ApplicativePlus[X]): X[A]

    Definition Classes
    Foldable
  17. def collapse5[G[_], H[_], I[_], J[_], X[_], A](x: F[G[H[I[J[A]]]]])(implicit F: Foldable[F], G: Foldable[G], H: Foldable[H], I: Foldable[I], J: Foldable[J], A: ApplicativePlus[X]): X[A]

    Definition Classes
    Foldable
  18. def collapse6[G[_], H[_], I[_], J[_], K[_], X[_], A](x: F[G[H[I[J[K[A]]]]]])(implicit F: Foldable[F], G: Foldable[G], H: Foldable[H], I: Foldable[I], J: Foldable[J], K: Foldable[K], A: ApplicativePlus[X]): X[A]

    Definition Classes
    Foldable
  19. def collapse7[G[_], H[_], I[_], J[_], K[_], L[_], X[_], A](x: F[G[H[I[J[K[L[A]]]]]]])(implicit F: Foldable[F], G: Foldable[G], H: Foldable[H], I: Foldable[I], J: Foldable[J], K: Foldable[K], L: Foldable[L], A: ApplicativePlus[X]): X[A]

    Definition Classes
    Foldable
  20. def compose[G[_]](implicit G0: Traverse[G]): Traverse[[α]F[G[α]]]

    The composition of Traverses F and G, [x]F[G[x]], is a Traverse

    The composition of Traverses F and G, [x]F[G[x]], is a Traverse

    Definition Classes
    Traverse
  21. def compose[G[_]](implicit G0: Foldable[G]): Foldable[[α]F[G[α]]]

    The composition of Foldables F and G, [x]F[G[x]], is a Foldable

    The composition of Foldables F and G, [x]F[G[x]], is a Foldable

    Definition Classes
    Foldable
  22. 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
  23. def count[A](fa: F[A]): Int

    Deforested alias for toStream(fa).size.

    Deforested alias for toStream(fa).size.

    Definition Classes
    Foldable
  24. def counzip[A, B](a: \/[F[A], F[B]]): F[\/[A, B]]

    Definition Classes
    Functor
  25. def element[A](fa: F[A], a: A)(implicit arg0: Equal[A]): Boolean

    Whether a is an element of fa.

    Whether a is an element of fa.

    Definition Classes
    Foldable
  26. def empty[A](fa: F[A]): Boolean

    Deforested alias for toStream(fa).isEmpty.

    Deforested alias for toStream(fa).isEmpty.

    Definition Classes
    Foldable
  27. final def eq(arg0: AnyRef): Boolean

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

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

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  30. def fold[M](t: F[M])(implicit arg0: Monoid[M]): M

    Combine the elements of a structure using a monoid.

    Combine the elements of a structure using a monoid.

    Definition Classes
    Foldable
  31. def foldLShape[A, B](fa: F[A], z: B)(f: (B, A) ⇒ B): (B, F[Unit])

    Definition Classes
    Traverse
  32. def foldLeft[A, B](fa: F[A], z: B)(f: (B, A) ⇒ B): B

    Left-associative fold of a structure.

    Left-associative fold of a structure.

    Definition Classes
    IsomorphismFoldableFoldable
  33. def foldLeftM[G[_], A, B](fa: F[A], z: B)(f: (B, A) ⇒ G[B])(implicit M: Monad[G]): G[B]

    Left-associative, monadic fold of a structure.

    Left-associative, monadic fold of a structure.

    Definition Classes
    Foldable
  34. def foldMap[A, B](fa: F[A])(f: (A) ⇒ B)(implicit F: Monoid[B]): B

    Map each element of the structure to a scalaz.Monoid, and combine the results.

    Map each element of the structure to a scalaz.Monoid, and combine the results.

    Definition Classes
    IsomorphismFoldableFoldable
  35. def foldMapIdentity[A, B](fa: F[A])(implicit F: Monoid[A]): A

    Unbiased sum of monoidal values.

    Unbiased sum of monoidal values.

    Definition Classes
    Foldable
  36. def foldRight[A, B](fa: F[A], z: ⇒ B)(f: (A, ⇒ B) ⇒ B): B

    Right-associative fold of a structure.

    Right-associative fold of a structure.

    Definition Classes
    IsomorphismFoldableFoldable
  37. def foldRightM[G[_], A, B](fa: F[A], z: ⇒ B)(f: (A, ⇒ B) ⇒ G[B])(implicit M: Monad[G]): G[B]

    Right-associative, monadic fold of a structure.

    Right-associative, monadic fold of a structure.

    Definition Classes
    Foldable
  38. val foldableSyntax: FoldableSyntax[F]

    Definition Classes
    Foldable
  39. final def foldl[A, B](fa: F[A], z: B)(f: (B) ⇒ (A) ⇒ B): B

    Curred version of foldLeft

    Curred version of foldLeft

    Definition Classes
    Foldable
  40. final def foldlM[G[_], A, B](fa: F[A], z: ⇒ B)(f: (B) ⇒ (A) ⇒ G[B])(implicit M: Monad[G]): G[B]

    Curried version of foldLeftM

    Curried version of foldLeftM

    Definition Classes
    Foldable
  41. final def foldr[A, B](fa: F[A], z: ⇒ B)(f: (A) ⇒ (⇒ B) ⇒ B): B

    Curried version of foldRight

    Curried version of foldRight

    Definition Classes
    Foldable
  42. final def foldrM[G[_], A, B](fa: F[A], z: ⇒ B)(f: (A) ⇒ (⇒ B) ⇒ G[B])(implicit M: Monad[G]): G[B]

    Curried version of foldRightM

    Curried version of foldRightM

    Definition Classes
    Foldable
  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 intercalate[A](fa: F[A], a: A)(implicit A: Monoid[A]): A

    Insert an A between every A, yielding the sum.

    Insert an A between every A, yielding the sum.

    Definition Classes
    Foldable
  50. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  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 longDigits[A](fa: F[A])(implicit d: <:<[A, Digit]): Long

    Definition Classes
    Foldable
  53. 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
  54. def mapAccumL[S, A, B](fa: F[A], z: S)(f: (S, A) ⇒ (S, B)): (S, F[B])

    Definition Classes
    Traverse
  55. def mapAccumR[S, A, B](fa: F[A], z: S)(f: (S, A) ⇒ (S, B)): (S, F[B])

    Definition Classes
    Traverse
  56. 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
  57. def maximum[A](fa: F[A])(implicit arg0: Order[A]): Option[A]

    The greatest element of fa, or None if fa is empty.

    The greatest element of fa, or None if fa is empty.

    Definition Classes
    Foldable
  58. def minimum[A](fa: F[A])(implicit arg0: Order[A]): Option[A]

    The smallest element of fa, or None if fa is empty.

    The smallest element of fa, or None if fa is empty.

    Definition Classes
    Foldable
  59. final def ne(arg0: AnyRef): Boolean

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

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

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

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

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

    Definition Classes
    Traverse
  63. def product[G[_]](implicit G0: Foldable[G]): Foldable[[α](F[α], G[α])]

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

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

    Definition Classes
    Foldable
  64. 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
  65. def reverse[A](fa: F[A]): F[A]

    Definition Classes
    Traverse
  66. def runTraverseS[S, A, B](fa: F[A], s: S)(f: (A) ⇒ State[S, B]): (S, F[B])

    Definition Classes
    Traverse
  67. def selectSplit[A](fa: F[A])(p: (A) ⇒ Boolean): List[List[A]]

    Selects groups of elements that satisfy p and discards others.

    Selects groups of elements that satisfy p and discards others.

    Definition Classes
    Foldable
  68. def sequence[G[_], A](fga: F[G[A]])(implicit arg0: Applicative[G]): G[F[A]]

    Traverse with the identity function.

    Traverse with the identity function.

    Definition Classes
    Traverse
  69. def sequenceS[S, A](fga: F[State[S, A]]): State[S, F[A]]

    Traverse with State.

    Traverse with State.

    Definition Classes
    Traverse
  70. def sequenceS_[S, A](fga: F[State[S, A]]): State[S, Unit]

    sequence_ specialized to State *

    sequence_ specialized to State *

    Definition Classes
    Foldable
  71. final def sequenceU[A](self: F[A])(implicit G: Unapply[Applicative, A]): M[F[A]]

    A version of sequence that infers the nested type constructor.

    A version of sequence that infers the nested type constructor.

    Definition Classes
    Traverse
  72. def sequence_[M[_], A, B](fa: F[M[A]])(implicit a: Applicative[M]): M[Unit]

    Strict sequencing in an applicative functor M that ignores the value in fa.

    Strict sequencing in an applicative functor M that ignores the value in fa.

    Definition Classes
    Foldable
  73. def splitWith[A](fa: F[A])(p: (A) ⇒ Boolean): List[List[A]]

    Splits the elements into groups that alternatively satisfy and don't satisfy the predicate p.

    Splits the elements into groups that alternatively satisfy and don't satisfy the predicate p.

    Definition Classes
    Foldable
  74. 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
  75. 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
  76. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  77. def toIndexedSeq[A](fa: F[A]): IndexedSeq[A]

    Definition Classes
    Foldable
  78. def toList[A](fa: F[A]): List[A]

    Definition Classes
    Foldable
  79. def toSet[A](fa: F[A]): Set[A]

    Definition Classes
    Foldable
  80. def toStream[A](fa: F[A]): Stream[A]

    Definition Classes
    Foldable
  81. def toString(): String

    Definition Classes
    AnyRef → Any
  82. def traversal[G[_]](implicit arg0: Applicative[G]): Traversal[G]

    Definition Classes
    Traverse
  83. def traversalS[S]: Traversal[[x]IndexedStateT[[+X]X, S, S, x]]

    Definition Classes
    Traverse
  84. def traverse[G[_], A, B](fa: F[A])(f: (A) ⇒ G[B])(implicit arg0: Applicative[G]): G[F[B]]

    Definition Classes
    Traverse
  85. def traverseImpl[H[_], A, B](fa: F[A])(f: (A) ⇒ H[B])(implicit arg0: Applicative[H]): H[F[B]]

    Transform fa using f, collecting all the Gs with ap.

    Transform fa using f, collecting all the Gs with ap.

    Definition Classes
    IsomorphismTraverseTraverse
  86. def traverseKTrampoline[S, G[+_], A, B](fa: F[A])(f: (A) ⇒ Kleisli[G, S, B])(implicit arg0: Applicative[G]): Kleisli[G, S, F[B]]

    Traverse fa with a Kleisli[G, S, B], internally using a Trampoline to avoid stack overflow.

    Traverse fa with a Kleisli[G, S, B], internally using a Trampoline to avoid stack overflow.

    Definition Classes
    Traverse
  87. def traverseLaw: TraverseLaw

    Definition Classes
    Traverse
  88. def traverseS[S, A, B](fa: F[A])(f: (A) ⇒ State[S, B]): State[S, F[B]]

    Traverse with State.

    Traverse with State.

    Definition Classes
    Traverse
  89. def traverseSTrampoline[S, G[+_], A, B](fa: F[A])(f: (A) ⇒ State[S, G[B]])(implicit arg0: Applicative[G]): State[S, G[F[B]]]

    Traverse fa with a State[S, G[B]], internally using a Trampoline to avoid stack overflow.

    Traverse fa with a State[S, G[B]], internally using a Trampoline to avoid stack overflow.

    Definition Classes
    Traverse
  90. def traverseS_[S, A, B](fa: F[A])(f: (A) ⇒ State[S, B]): State[S, Unit]

    traverse_ specialized to State *

    traverse_ specialized to State *

    Definition Classes
    Foldable
  91. val traverseSyntax: TraverseSyntax[F]

    Definition Classes
    Traverse
  92. final def traverseU[A, GB](self: F[A])(f: (A) ⇒ GB)(implicit G: Unapply[Applicative, GB]): M[F[A]]

    A version of traverse that infers the type constructor G.

    A version of traverse that infers the type constructor G.

    Definition Classes
    Traverse
  93. def traverse_[M[_], A, B](fa: F[A])(f: (A) ⇒ M[B])(implicit a: Applicative[M]): M[Unit]

    Strict traversal in an applicative functor M that ignores the result of f.

    Strict traversal in an applicative functor M that ignores the result of f.

    Definition Classes
    Foldable
  94. 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
  95. final def wait(): Unit

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  98. def zipL[A, B](fa: F[A], fb: F[B]): F[(A, Option[B])]

    Definition Classes
    Traverse
  99. def zipR[A, B](fa: F[A], fb: F[B]): F[(Option[A], B)]

    Definition Classes
    Traverse
  100. def zipWith[A, B, C](fa: F[A], fb: F[B])(f: (A, Option[B]) ⇒ C): (List[B], F[C])

    Definition Classes
    Traverse
  101. def zipWithL[A, B, C](fa: F[A], fb: F[B])(f: (A, Option[B]) ⇒ C): F[C]

    Definition Classes
    Traverse
  102. def zipWithR[A, B, C](fa: F[A], fb: F[B])(f: (Option[A], B) ⇒ C): F[C]

    Definition Classes
    Traverse

Inherited from IsomorphismFunctor[F, G]

Inherited from IsomorphismFoldable[F, G]

Inherited from Traverse[F]

Inherited from Foldable[F]

Inherited from Functor[F]

Inherited from AnyRef

Inherited from Any

Ungrouped