< Back

Packages

package root

Definition Classes
root
package scalaz
Scalaz: Type classes and pure functional data structures for Scala.
Scalaz: Type classes and pure functional data structures for Scala.
This package, scalaz, contains:
- type class definitions
- data structures
- related functions
Type class instances and other functions related to the Scala and Java standard library are in scalaz.std
Implicit conversions and wrapper classes that provide a more convenient syntax for accessing the functionality of the library are in scalaz.syntax.
Type Classes Index
- scalaz.Semigroup
- scalaz.Monoid extends scalaz.Semigroup
- scalaz.Equal
- scalaz.Show
- scalaz.Order extends scalaz.Equal
- scalaz.Enum extends scalaz.Order
- scalaz.Plus
- scalaz.PlusEmpty extends scalaz.Plus
- scalaz.IsEmpty extends scalaz.PlusEmpty
- scalaz.Optional
- scalaz.InvariantFunctor
- scalaz.Functor extends scalaz.InvariantFunctor
- scalaz.Contravariant extends scalaz.InvariantFunctor
- scalaz.Divide extends scalaz.Contravariant
- scalaz.Divisible extends scalaz.Divide
- scalaz.Apply extends scalaz.Functor
- scalaz.Applicative extends scalaz.Apply
- scalaz.Align extends scalaz.Functor
- scalaz.Zip
- scalaz.Unzip
- scalaz.Cozip
- scalaz.Bind extends scalaz.Apply
- scalaz.BindRec extends scalaz.Bind
- scalaz.Monad extends scalaz.Applicative with scalaz.Bind
- scalaz.Cobind extends scalaz.Functor
- scalaz.Comonad extends scalaz.Cobind
- scalaz.ApplicativePlus extends scalaz.Applicative with scalaz.PlusEmpty
- scalaz.MonadPlus extends scalaz.Monad with scalaz.ApplicativePlus
- scalaz.Foldable
- scalaz.Foldable1 extends scalaz.Foldable
- scalaz.Traverse extends scalaz.Functor with scalaz.Foldable
- scalaz.Traverse1 extends scalaz.Traverse with scalaz.Foldable1
- scalaz.Associative
- scalaz.Bifunctor
- scalaz.Bifoldable
- scalaz.Bitraverse extends scalaz.Bifunctor with scalaz.Bifoldable
- scalaz.Catchable
- scalaz.Nondeterminism extends scalaz.Monad
- scalaz.Compose
- scalaz.Profunctor
- scalaz.Strong extends scalaz.Profunctor
- scalaz.ProChoice extends scalaz.Profunctor
- scalaz.Category extends scalaz.Compose
- scalaz.Choice extends scalaz.Category
- scalaz.Split extends scalaz.Compose
- scalaz.Arrow extends scalaz.Split with scalaz.Strong with scalaz.Category
- scalaz.MonadState extends scalaz.Monad
- scalaz.MonadError extends scalaz.Monad
- scalaz.MonadTell extends scalaz.Monad
- scalaz.MonadReader extends scalaz.Monad
- scalaz.ComonadStore extends scalaz.Comonad
Data Structures Index
- scalaz.Validation Represent computations that may succeed or fail, accumulating multiple errors.
- scalaz.NonEmptyList A list containing at least one element.
- scalaz.DList A difference list, supporting efficient append and prepend.
- scalaz.EphemeralStream A stream that holds weak references to its elements, and recomputes them if needed if reclaimed by the garbage collector.
- scalaz.Heap A priority queue, implemented with bootstrapped skew binomial heaps.
- scalaz.Endo Represents functions from A => A.
- scalaz.FingerTree A tree containing elements at it's leaves, and measures at the nodes. Can be adapted to various purposes by choosing a different measure, for example scalaz.IndSeq and scalaz.OrdSeq.
- scalaz.Lens Composable, functional alternative to getters and setters
- scalaz.Tree A multiway tree. Each node contains a single element, and a Stream of sub-trees.
- scalaz.TreeLoc A cursor over a scalaz.Tree.
- scalaz.Zipper A functional cursor over a List.
- scalaz.Kleisli Represents a function A => M[B], allowing chaining. Also known, and aliased, as scalaz.ReaderT.
- scalaz.StateT Computations that modify state.
- scalaz.WriterT Computations that log a value
- scalaz.OptionT Represents computations of type F[Option[A]]
- scalaz.MaybeT Represents computations of type F[Maybe[A]]
- scalaz.EitherT Represents computations of type F[A \/ B]
Definition Classes
root
trait InvariantFunctor[F[_]] extends AnyRef
Unary type constructor that supports an xmap operation that converts an F[A] to an F[B] given two functions, A => B and B => A.
Unary type constructor that supports an xmap operation that converts an F[A] to an F[B] given two functions, A => B and B => A.
An invariant functor must satisfy two laws:
- identity - xmap(ma)(identity, identity) == ma
- composite - xmap(xmap(ma, f1, g1), f2, g2) == xmap(ma, f2 compose f1, g1, compose g2)
Also known as an exponential functor.
Definition Classes
scalaz
See also
https://hackage.haskell.org/packages/archive/invariant/latest/doc/html/Data-Functor-Invariant.html
http://comonad.com/reader/2008/rotten-bananas/
scalaz.InvariantFunctor.InvariantFunctorLaw
InvariantFunctorLaw

t

scalaz.InvariantFunctor

InvariantFunctorLaw

trait InvariantFunctorLaw extends AnyRef

Source: InvariantFunctor.scala

Linear Supertypes

Known Subclasses

AlignLaw, AltLaw, ApplicativeLaw, ApplyLaw, BindLaw, BindRecLaw, ContravariantLaw, DecidableLaw, DivideLaw, DivisibleLaw, FunctorLaw, MonadLaw, MonadPlusLaw, StrongMonadPlusLaw, MonadReaderLaw, TraverseLaw, Traverse1Law

Ordering

Alphabetic
By Inheritance

Inherited

InvariantFunctorLaw
AnyRef
Any

Hide All
Show All

Visibility

Public
All

Value Members

final def !=(arg0: Any): Boolean

Definition Classes
AnyRef → Any
final def ##(): Int

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

Definition Classes
AnyRef → Any
final def asInstanceOf[T0]: T0

Definition Classes
Any
def clone(): AnyRef

Attributes
protected[lang]
Definition Classes
AnyRef
Annotations
@throws( ... ) @native()
final def eq(arg0: AnyRef): Boolean

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

Definition Classes
AnyRef → Any
def finalize(): Unit

Attributes
protected[lang]
Definition Classes
AnyRef
Annotations
@throws( classOf[java.lang.Throwable] )
final def getClass(): Class[_]

Definition Classes
AnyRef → Any
Annotations
@native()
def hashCode(): Int

Definition Classes
AnyRef → Any
Annotations
@native()
def invariantComposite[A, B, C](fa: F[A], f1: (A) ⇒ B, g1: (B) ⇒ A, f2: (B) ⇒ C, g2: (C) ⇒ B)(implicit FC: Equal[F[C]]): Boolean
def invariantIdentity[A](fa: F[A])(implicit FA: Equal[F[A]]): Boolean
final def isInstanceOf[T0]: Boolean

Definition Classes
Any
final def ne(arg0: AnyRef): Boolean

Definition Classes
AnyRef
final def notify(): Unit

Definition Classes
AnyRef
Annotations
@native()
final def notifyAll(): Unit

Definition Classes
AnyRef
Annotations
@native()
final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes
AnyRef
def toString(): String

Definition Classes
AnyRef → Any
final def wait(): Unit

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

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

Definition Classes
AnyRef
Annotations
@throws( ... ) @native()

Inherited from AnyRef

Inherited from Any

Ungrouped