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
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- By Inheritance
- SemiLattice
- Band
- Semigroup
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- Any
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Type Members
- 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
- idempotency:
- trait SemiLatticeLaw extends BandLaw
- trait SemigroupApply extends Apply[[α]F]
- Attributes
- protected[this]
- Definition Classes
- Semigroup
- trait SemigroupCompose extends Compose[[α, β]F]
- Attributes
- protected[this]
- Definition Classes
- Semigroup
- 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 inF. This is enforced by the type system. - associativity:
∀ a, b, cinF, the equationappend(append(a, b), c) = append(a, append(b , c))holds.
- Definition Classes
- Semigroup
- closure:
Abstract Value Members
Concrete 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 apply: Apply[[α]F]
An scalaz.Apply, that implements
apwithappend.An scalaz.Apply, that implements
apwithappend. Note that the type parameterαinApply[λ[α => F]]is discarded; it is a phantom type. As such, the functor cannot support scalaz.Bind.- Definition Classes
- Semigroup
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- def bandLaw: BandLaw
- Definition Classes
- Band
- val bandSyntax: BandSyntax[F]
- Definition Classes
- Band
- def clone(): AnyRef
- Attributes
- protected[java.lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @native()
- final def compose: Compose[[α, β]F]
Every
Semigroupgives rise to a scalaz.Compose, for which the type parameters are phantoms.Every
Semigroupgives rise to a scalaz.Compose, for which the type parameters are phantoms.- Definition Classes
- Semigroup
- Note
compose.semigroup=this
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def equals(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef → Any
- def finalize(): Unit
- Attributes
- protected[java.lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable])
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native()
- def hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native()
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- def multiply1(value: F, n: Int): F
The default definition exploits idempotency to optimise to
O(1) - 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()
- def semiLatticeLaw: SemiLatticeLaw
- val semiLatticeSyntax: SemiLatticeSyntax[F]
- def semigroupLaw: SemigroupLaw
- Definition Classes
- Semigroup
- val semigroupSyntax: SemigroupSyntax[F]
- Definition Classes
- Semigroup
- 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(classOf[java.lang.InterruptedException])
- final def wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
- final def wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException]) @native()