Packages

t

scalaz

IsomorphismBand

trait IsomorphismBand[F, G] extends Band[F] with IsomorphismSemigroup[F, G]

Source
Band.scala
Linear Supertypes
Known Subclasses
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Inherited
  1. IsomorphismBand
  2. IsomorphismSemigroup
  3. Band
  4. Semigroup
  5. AnyRef
  6. Any
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Visibility
  1. Public
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Type Members

  1. trait BandLaw extends SemigroupLaw

    Band instances must satisfy scalaz.Semigroup.SemigroupLaw and 1 additional law:

    Band instances must satisfy scalaz.Semigroup.SemigroupLaw and 1 additional law:

    • idempotency: forall a. append(a, a) == a
    Definition Classes
    Band
  2. trait SemigroupApply extends Apply[[α]F]
    Attributes
    protected[this]
    Definition Classes
    Semigroup
  3. trait SemigroupCompose extends Compose[[α, β]F]
    Attributes
    protected[this]
    Definition Classes
    Semigroup
  4. trait SemigroupLaw extends AnyRef

    A semigroup in type F must satisfy two laws:

    A semigroup in type F must satisfy two laws:

    • closure: ∀ a, b in F, append(a, b) is also in F. This is enforced by the type system.
    • associativity: ∀ a, b, c in F, the equation append(append(a, b), c) = append(a, append(b , c)) holds.
    Definition Classes
    Semigroup

Abstract Value Members

  1. implicit abstract def G: Band[G]
    Definition Classes
    IsomorphismBandIsomorphismSemigroup
  2. abstract def iso: Isomorphism.<=>[F, G]
    Definition Classes
    IsomorphismSemigroup

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. def append(f1: F, f2: ⇒ F): F

    The binary operation to combine f1 and f2.

    The binary operation to combine f1 and f2.

    Implementations should not evaluate the by-name parameter f2 if result can be determined by f1.

    Definition Classes
    IsomorphismSemigroupSemigroup
  5. final def apply: Apply[[α]F]

    An scalaz.Apply, that implements ap with append.

    An scalaz.Apply, that implements ap with append. Note that the type parameter α in Apply[λ[α => F]] is discarded; it is a phantom type. As such, the functor cannot support scalaz.Bind.

    Definition Classes
    Semigroup
  6. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  7. def bandLaw: BandLaw
    Definition Classes
    Band
  8. val bandSyntax: BandSyntax[F]
    Definition Classes
    Band
  9. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... ) @native()
  10. final def compose: Compose[[α, β]F]

    Every Semigroup gives rise to a scalaz.Compose, for which the type parameters are phantoms.

    Every Semigroup gives rise to a scalaz.Compose, for which the type parameters are phantoms.

    Definition Classes
    Semigroup
    Note

    compose.semigroup = this

  11. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  12. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  13. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  14. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  15. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  16. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  17. def multiply1(value: F, n: Int): F

    The default definition exploits idempotency to optimise to O(1)

    The default definition exploits idempotency to optimise to O(1)

    Definition Classes
    BandSemigroup
  18. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  19. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  20. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  21. def semigroupLaw: SemigroupLaw
    Definition Classes
    Semigroup
  22. val semigroupSyntax: SemigroupSyntax[F]
    Definition Classes
    Semigroup
  23. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  24. def toString(): String
    Definition Classes
    AnyRef → Any
  25. def unfoldlSumOpt[S](seed: S)(f: (S) ⇒ Maybe[(S, F)]): Maybe[F]

    Unfold seed to the left and sum using #append.

    Unfold seed to the left and sum using #append. Semigroups with right absorbing elements may override this method to not unfold more than is necessary to determine the result.

    Definition Classes
    Semigroup
  26. def unfoldrSumOpt[S](seed: S)(f: (S) ⇒ Maybe[(F, S)]): Maybe[F]

    Unfold seed to the right and sum using #append.

    Unfold seed to the right and sum using #append. Semigroups with left absorbing elements may override this method to not unfold more than is necessary to determine the result.

    Definition Classes
    Semigroup
  27. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  28. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  29. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... ) @native()

Inherited from IsomorphismSemigroup[F, G]

Inherited from Band[F]

Inherited from Semigroup[F]

Inherited from AnyRef

Inherited from Any

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