Trait/Object

cats

Traverse

Related Docs: object Traverse | package cats

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trait Traverse[F[_]] extends Functor[F] with Foldable[F] with Serializable

Traverse, also known as Traversable.

Traversal over a structure with an effect.

Traversing with the cats.Id effect is equivalent to cats.Functor#map. Traversing with the cats.data.Const effect where the first type parameter has a cats.Monoid instance is equivalent to cats.Foldable#fold.

See: The Essence of the Iterator Pattern

Self Type
Traverse[F]
Linear Supertypes
Foldable[F], Functor[F], Invariant[F], Serializable, Serializable, AnyRef, Any
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Inherited
  1. Traverse
  2. Foldable
  3. Functor
  4. Invariant
  5. Serializable
  6. Serializable
  7. AnyRef
  8. Any
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Visibility
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Abstract Value Members

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

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    Left associative fold on 'F' using the function 'f'.

    Left associative fold on 'F' using the function 'f'.

    Definition Classes
    Foldable
  2. abstract def foldRight[A, B](fa: F[A], lb: Eval[B])(f: (A, Eval[B]) ⇒ Eval[B]): Eval[B]

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    Right associative lazy fold on F using the folding function 'f'.

    Right associative lazy fold on F using the folding function 'f'.

    This method evaluates lb lazily (in some cases it will not be needed), and returns a lazy value. We are using (A, Eval[B]) => Eval[B] to support laziness in a stack-safe way. Chained computation should be performed via .map and .flatMap.

    For more detailed information about how this method works see the documentation for Eval[_].

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

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    Given a function which returns a G effect, thread this effect through the running of this function on all the values in F, returning an F[B] in a G context.

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 as[A, B](fa: F[A], b: B): F[B]

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    Replaces the A value in F[A] with the supplied value.

    Replaces the A value in F[A] with the supplied value.

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

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    Definition Classes
    Any
  6. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  7. def combineAll[A](fa: F[A])(implicit arg0: Monoid[A]): A

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    Alias for fold.

    Alias for fold.

    Definition Classes
    Foldable
  8. def compose[G[_]](implicit ev: Foldable[G]): Foldable[[α]F[G[α]]]

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    Compose this Foldable[F] with a Foldable[G] to create a Foldable[F[G]] instance.

    Compose this Foldable[F] with a Foldable[G] to create a Foldable[F[G]] instance.

    Definition Classes
    Foldable
  9. def compose[G[_]](implicit GG: Functor[G]): Functor[[X]F[G[X]]]

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    Compose this functor F with a functor G to produce a composite Functor on G[F[_]], with a map method which uses an A => B to map a G[F[A]] to a G[F[B]].

    Compose this functor F with a functor G to produce a composite Functor on G[F[_]], with a map method which uses an A => B to map a G[F[A]] to a G[F[B]].

    Definition Classes
    Functor
  10. def compose[G[_]](implicit arg0: Invariant[G], GG: Invariant[G]): Invariant[[X]F[G[X]]]

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    Compose 2 invariant Functors F and G to get a new Invariant Functor for F[G[_]].

    Compose 2 invariant Functors F and G to get a new Invariant Functor for F[G[_]].

    Definition Classes
    Invariant
  11. def composeWithContravariant[G[_]](implicit GG: Contravariant[G]): Contravariant[[X]F[G[X]]]

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    Compose this functor F with a Contravariant Functor G to produce a new Contravariant Functor on F[G[_]].

    Compose this functor F with a Contravariant Functor G to produce a new Contravariant Functor on F[G[_]].

    Definition Classes
    FunctorInvariant
  12. def composeWithFunctor[G[_]](implicit arg0: Functor[G]): Functor[[X]F[G[X]]]

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    Compose the Invariant Functor F with a normal (Covariant) Functor to get a new Invariant Functor for [F[G[_]].

    Compose the Invariant Functor F with a normal (Covariant) Functor to get a new Invariant Functor for [F[G[_]].

    Definition Classes
    FunctorInvariant
  13. def dropWhile_[A](fa: F[A])(p: (A) ⇒ Boolean): List[A]

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    Convert F[A] to a List[A], dropping all initial elements which match p.

    Convert F[A] to a List[A], dropping all initial elements which match p.

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

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

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    Definition Classes
    AnyRef → Any
  16. def exists[A](fa: F[A])(p: (A) ⇒ Boolean): Boolean

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    Check whether at least one element satisfies the predicate.

    Check whether at least one element satisfies the predicate.

    If there are no elements, the result is false.

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

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    Convert F[A] to a List[A], only including elements which match p.

    Convert F[A] to a List[A], only including elements which match p.

    Definition Classes
    Foldable
  18. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  19. def find[A](fa: F[A])(f: (A) ⇒ Boolean): Option[A]

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    Find the first element matching the predicate, if one exists.

    Find the first element matching the predicate, if one exists.

    Definition Classes
    Foldable
  20. def fold[A](fa: F[A])(implicit A: Monoid[A]): A

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    Fold implemented using the given Monoid[A] instance.

    Fold implemented using the given Monoid[A] instance.

    Definition Classes
    Foldable
  21. def foldK[G[_], A](fga: F[G[A]])(implicit G: MonoidK[G]): G[A]

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    Fold implemented using the given MonoidK[G] instance.

    Fold implemented using the given MonoidK[G] instance.

    This method is identical to fold, except that we use the universal monoid (MonoidK[G]) to get a Monoid[G[A]] instance.

    For example:

    scala> import cats.std.list._
    scala> val F = Foldable[List]
    scala> F.foldK(List(1 :: 2 :: Nil, 3 :: 4 :: 5 :: Nil))
    res0: List[Int] = List(1, 2, 3, 4, 5)
    Definition Classes
    Foldable
  22. def foldM[G[_], A, B](fa: F[A], z: B)(f: (B, A) ⇒ G[B])(implicit G: Monad[G]): G[B]

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    Left associative monadic folding on F.

    Left associative monadic folding on F.

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

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    Fold implemented by mapping A values into B and then combining them using the given Monoid[B] instance.

    Fold implemented by mapping A values into B and then combining them using the given Monoid[B] instance.

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

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    Check whether all elements satisfy the predicate.

    Check whether all elements satisfy the predicate.

    If there are no elements, the result is true.

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

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    Tuple the values in fa with the result of applying a function with the value

    Tuple the values in fa with the result of applying a function with the value

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

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

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    Definition Classes
    AnyRef → Any
  28. def imap[A, B](fa: F[A])(f: (A) ⇒ B)(fi: (B) ⇒ A): F[B]

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    Definition Classes
    FunctorInvariant
  29. def isEmpty[A](fa: F[A]): Boolean

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    Returns true if there are no elements.

    Returns true if there are no elements. Otherwise false.

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

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

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    Lift a function f to operate on Functors

    Lift a function f to operate on Functors

    Definition Classes
    Functor
  32. def map[A, B](fa: F[A])(f: (A) ⇒ B): F[B]

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    Definition Classes
    TraverseFunctor
  33. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  34. def nonEmpty[A](fa: F[A]): Boolean

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    Definition Classes
    Foldable
  35. final def notify(): Unit

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

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    Definition Classes
    AnyRef
  37. def reduceLeftToOption[A, B](fa: F[A])(f: (A) ⇒ B)(g: (B, A) ⇒ B): Option[B]

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    Definition Classes
    Foldable
  38. def reduceRightToOption[A, B](fa: F[A])(f: (A) ⇒ B)(g: (A, Eval[B]) ⇒ Eval[B]): Eval[Option[B]]

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

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    Thread all the G effects through the F structure to invert the structure from F[G[A]] to G[F[A]].

  40. def sequenceU[GA](fga: F[GA])(implicit U: Unapply[Applicative, GA]): M[F[A]]

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    Behaves just like sequence, but uses Unapply to find the Applicative instance for G.

  41. def sequenceU_[GA](fa: F[GA])(implicit U: Unapply[Applicative, GA]): M[Unit]

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    Behaves like sequence_, but uses Unapply to find the Applicative instance for G - used when G is a type constructor with two or more parameters such as cats.data.Xor

    Behaves like sequence_, but uses Unapply to find the Applicative instance for G - used when G is a type constructor with two or more parameters such as cats.data.Xor

    scala> import cats.data.Xor
    scala> import cats.std.list._
    scala> val F = Foldable[List]
    scala> F.sequenceU_(List(Xor.right[String, Int](333), Xor.Right(444)))
    res0: Xor[String, Unit] = Right(())
    scala> F.sequenceU_(List(Xor.right[String, Int](333), Xor.Left("boo")))
    res1: Xor[String, Unit] = Left(boo)

    Note that using sequence_ instead of sequenceU_ would not compile without explicitly passing in the type parameters - the type checker has trouble inferring the appropriate instance.

    Definition Classes
    Foldable
  42. def sequence_[G[_], A](fga: F[G[A]])(implicit arg0: Applicative[G]): G[Unit]

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    Sequence F[G[A]] using Applicative[G].

    Sequence F[G[A]] using Applicative[G].

    This is similar to traverse_ except it operates on F[G[A]] values, so no additional functions are needed.

    For example:

    scala> import cats.std.list._
    scala> import cats.std.option._
    scala> val F = Foldable[List]
    scala> F.sequence_(List(Option(1), Option(2), Option(3)))
    res0: Option[Unit] = Some(())
    scala> F.sequence_(List(Option(1), None, Option(3)))
    res1: Option[Unit] = None
    Definition Classes
    Foldable
  43. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  44. def takeWhile_[A](fa: F[A])(p: (A) ⇒ Boolean): List[A]

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    Convert F[A] to a List[A], retaining only initial elements which match p.

    Convert F[A] to a List[A], retaining only initial elements which match p.

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

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    Convert F[A] to a List[A].

    Convert F[A] to a List[A].

    Definition Classes
    Foldable
  46. def toString(): String

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    Definition Classes
    AnyRef → Any
  47. def traverseM[G[_], A, B](fa: F[A])(f: (A) ⇒ G[F[B]])(implicit G: Applicative[G], F: FlatMap[F]): G[F[B]]

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    A traverse followed by flattening the inner result.

  48. def traverseU[A, GB](fa: F[A])(f: (A) ⇒ GB)(implicit U: Unapply[Applicative, GB]): M[F[A]]

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    Behaves just like traverse, but uses Unapply to find the Applicative instance for G.

  49. def traverseU_[A, GB](fa: F[A])(f: (A) ⇒ GB)(implicit U: Unapply[Applicative, GB]): M[Unit]

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    Behaves like traverse_, but uses Unapply to find the Applicative instance for G - used when G is a type constructor with two or more parameters such as cats.data.Xor

    Behaves like traverse_, but uses Unapply to find the Applicative instance for G - used when G is a type constructor with two or more parameters such as cats.data.Xor

    scala> import cats.data.Xor
    scala> import cats.std.list._
    scala> def parseInt(s: String): Xor[String, Int] =
         |   try { Xor.Right(s.toInt) }
         |   catch { case _: NumberFormatException => Xor.Left("boo") }
    scala> val F = Foldable[List]
    scala> F.traverseU_(List("333", "444"))(parseInt)
    res0: Xor[String, Unit] = Right(())
    scala> F.traverseU_(List("333", "zzz"))(parseInt)
    res1: Xor[String, Unit] = Left(boo)

    Note that using traverse_ instead of traverseU_ would not compile without explicitly passing in the type parameters - the type checker has trouble inferring the appropriate instance.

    Definition Classes
    Foldable
  50. def traverse_[G[_], A, B](fa: F[A])(f: (A) ⇒ G[B])(implicit G: Applicative[G]): G[Unit]

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    Traverse F[A] using Applicative[G].

    Traverse F[A] using Applicative[G].

    A values will be mapped into G[B] and combined using Applicative#map2.

    For example:

    scala> import cats.data.Xor
    scala> import cats.std.list._
    scala> import cats.std.option._
    scala> def parseInt(s: String): Option[Int] = Xor.catchOnly[NumberFormatException](s.toInt).toOption
    scala> val F = Foldable[List]
    scala> F.traverse_(List("333", "444"))(parseInt)
    res0: Option[Unit] = Some(())
    scala> F.traverse_(List("333", "zzz"))(parseInt)
    res1: Option[Unit] = None

    This method is primarily useful when G[_] represents an action or effect, and the specific A aspect of G[A] is not otherwise needed.

    Definition Classes
    Foldable
  51. def void[A](fa: F[A]): F[Unit]

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    Empty the fa of the values, preserving the structure

    Empty the fa of the values, preserving the structure

    Definition Classes
    Functor
  52. final def wait(): Unit

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

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from Foldable[F]

Inherited from Functor[F]

Inherited from Invariant[F]

Inherited from Serializable

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

Ungrouped