scalaz

IsomorphismGroup

trait IsomorphismGroup[F, G] extends Group[F] with IsomorphismMonoid[F, G]

Source
Isomorphism.scala
Linear Supertypes
IsomorphismMonoid[F, G], IsomorphismSemigroup[F, G], Group[F], Monoid[F], Semigroup[F], AnyRef, Any
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Inherited
  1. IsomorphismGroup
  2. IsomorphismMonoid
  3. IsomorphismSemigroup
  4. Group
  5. Monoid
  6. Semigroup
  7. AnyRef
  8. Any
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Type Members

  1. trait GroupLaw extends MonoidLaw

    Definition Classes
    Group
  2. trait MonoidLaw extends SemigroupLaw

    Monoid instances must satisfy scalaz.Semigroup.SemigroupLaw and 2 additional laws:

  3. trait SemigroupLaw extends AnyRef

    A semigroup in type F must satisfy two laws:

Abstract Value Members

  1. implicit abstract def G: Group[G]

  2. abstract def iso: Isomorphism.<=>[F, G]

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 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 tbe by-name parameter f2 if result can be determined by f1.

    Definition Classes
    IsomorphismSemigroupSemigroup
  7. final def applicative: Applicative[[α]F]

    A monoidal applicative functor, that implements point and ap with the operations zero and append respectively.

    A monoidal applicative functor, that implements point and ap with the operations zero and append respectively. Note that the type parameter α in Applicative[({type λ[α]=F})#λ] is discarded; it is a phantom type. As such, the functor cannot support scalaz.Bind.

    Definition Classes
    Monoid
  8. final def apply: Apply[[α]F]

    Definition Classes
    Semigroup
  9. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  10. final def category: Category[[α, β]F]

    Every Monoid gives rise to a scalaz.Category

    Every Monoid gives rise to a scalaz.Category

    Definition Classes
    Monoid
  11. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws()
  12. final def compose: Compose[[α, β]F]

    Definition Classes
    Semigroup
  13. final def eq(arg0: AnyRef): Boolean

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

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

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

    Definition Classes
    AnyRef → Any
  17. def groupLaw: GroupLaw

    Definition Classes
    Group
  18. val groupSyntax: GroupSyntax[F]

    Definition Classes
    Group
  19. def hashCode(): Int

    Definition Classes
    AnyRef → Any
  20. def inverse(f: F): F

    Definition Classes
    IsomorphismGroupGroup
  21. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  22. def minus(f1: F, f2: ⇒ F): F

    Definition Classes
    Group
  23. def monoidLaw: MonoidLaw

    Definition Classes
    Monoid
  24. val monoidSyntax: MonoidSyntax[F]

    Definition Classes
    Monoid
  25. def multiply(value: F, n: Int): F

    For n = 0, zero For n = 1, append(zero, value) For n = 2, append(append(zero, value), value)

    For n = 0, zero For n = 1, append(zero, value) For n = 2, append(append(zero, value), value)

    Definition Classes
    Monoid
  26. final def ne(arg0: AnyRef): Boolean

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

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

    Definition Classes
    AnyRef
  29. def semigroupLaw: SemigroupLaw

    Definition Classes
    Semigroup
  30. val semigroupSyntax: SemigroupSyntax[F]

    Definition Classes
    Semigroup
  31. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  32. def toString(): String

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

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws()
  36. def zero: F

    The identity element for append.

    The identity element for append.

    Definition Classes
    IsomorphismMonoidMonoid

Inherited from IsomorphismMonoid[F, G]

Inherited from IsomorphismSemigroup[F, G]

Inherited from Group[F]

Inherited from Monoid[F]

Inherited from Semigroup[F]

Inherited from AnyRef

Inherited from Any

Ungrouped