Packages

trait SemiLattice[F] extends Band[F]

scalaz.Band which is also commutative, i.e. A + B == B + A

Self Type
SemiLattice[F]
Source
SemiLattice.scala
See also

scalaz.SemiLattice.SemiLatticeLaw

Linear Supertypes
Known Subclasses
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Inherited
  1. SemiLattice
  2. Band
  3. Semigroup
  4. AnyRef
  5. Any
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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 SemiLatticeLaw extends BandLaw
  3. trait SemigroupApply extends Apply[[α]F]
    Attributes
    protected[this]
    Definition Classes
    Semigroup
  4. trait SemigroupCompose extends Compose[[α, β]F]
    Attributes
    protected[this]
    Definition Classes
    Semigroup
  5. 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. abstract 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
    Semigroup

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. 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
  5. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  6. def bandLaw: BandLaw
    Definition Classes
    Band
  7. val bandSyntax: BandSyntax[F]
    Definition Classes
    Band
  8. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native()
  9. 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

  10. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  11. def equals(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef → Any
  12. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.Throwable])
  13. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  14. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  15. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  16. 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
  17. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  18. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  19. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  20. def semiLatticeLaw: SemiLatticeLaw
  21. val semiLatticeSyntax: SemiLatticeSyntax[F]
  22. def semigroupLaw: SemigroupLaw
    Definition Classes
    Semigroup
  23. val semigroupSyntax: SemigroupSyntax[F]
    Definition Classes
    Semigroup
  24. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  25. def toString(): String
    Definition Classes
    AnyRef → Any
  26. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  27. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  28. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()

Inherited from Band[F]

Inherited from Semigroup[F]

Inherited from AnyRef

Inherited from Any

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