trait JoinLattice[L] extends Monoid[L] with PartialOrdering[L]
A (join semi-)lattice L should support the following operations
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- JoinLattice
- PartialOrdering
- Equiv
- Serializable
- Serializable
- Monoid
- Semigroup
- AnyRef
- Any
- by any2stringadd
- by StringFormat
- by Ensuring
- by ArrowAssoc
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Type Members
- trait JoinLatticeLaw extends AnyRef
-
trait
MonoidLaw extends scalaz.Monoid.SemigroupLaw
- Definition Classes
- Monoid
-
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
- Definition Classes
- Semigroup
Abstract Value Members
-
abstract
def
bottom: L
A lattice has a bottom element
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abstract
def
cardinality(x: L): Cardinality
Cardinality of this value
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abstract
def
counting: Boolean
It should state whether it supports abstract counting or not.
It should state whether it supports abstract counting or not. (TODO: this is probably not the best place for that)
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abstract
def
isPrimitiveValue(x: L): Boolean
Some elements may contain addresses in there and are therefore not considered as primitive values
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abstract
def
join(x: L, y: L): L
Elements of the lattice can be joined together
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abstract
def
name: String
A name identifying the lattice
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abstract
def
subsumes(x: L, y: L): Boolean
Subsumption between two elements can be checked
Concrete Value Members
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final
def
!=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
-
final
def
##(): Int
- Definition Classes
- AnyRef → Any
-
def
+(other: String): String
- Implicit
- This member is added by an implicit conversion from JoinLattice[L] to any2stringadd[JoinLattice[L]] performed by method any2stringadd in scala.Predef.
- Definition Classes
- any2stringadd
-
def
->[B](y: B): (JoinLattice[L], B)
- Implicit
- This member is added by an implicit conversion from JoinLattice[L] to ArrowAssoc[JoinLattice[L]] performed by method ArrowAssoc in scala.Predef.
- Definition Classes
- ArrowAssoc
- Annotations
- @inline()
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final
def
==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
-
def
append(x: L, y: ⇒ L): L
- Definition Classes
- JoinLattice → Semigroup
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final
def
applicative: Applicative[[α]L]
- Definition Classes
- Monoid
-
final
def
apply: Apply[[α]L]
- Definition Classes
- Semigroup
-
final
def
asInstanceOf[T0]: T0
- Definition Classes
- Any
-
final
def
category: Category[[α, β]L]
- Definition Classes
- Monoid
-
def
clone(): AnyRef
- Attributes
- protected[java.lang]
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate() @throws( ... )
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final
def
compose: Compose[[α, β]L]
- Definition Classes
- Semigroup
-
def
ensuring(cond: (JoinLattice[L]) ⇒ Boolean, msg: ⇒ Any): JoinLattice[L]
- Implicit
- This member is added by an implicit conversion from JoinLattice[L] to Ensuring[JoinLattice[L]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
-
def
ensuring(cond: (JoinLattice[L]) ⇒ Boolean): JoinLattice[L]
- Implicit
- This member is added by an implicit conversion from JoinLattice[L] to Ensuring[JoinLattice[L]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
-
def
ensuring(cond: Boolean, msg: ⇒ Any): JoinLattice[L]
- Implicit
- This member is added by an implicit conversion from JoinLattice[L] to Ensuring[JoinLattice[L]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
-
def
ensuring(cond: Boolean): JoinLattice[L]
- Implicit
- This member is added by an implicit conversion from JoinLattice[L] to Ensuring[JoinLattice[L]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
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final
def
eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
-
def
equals(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
-
def
equiv(x: L, y: L): Boolean
- Definition Classes
- PartialOrdering → Equiv
-
def
formatted(fmtstr: String): String
- Implicit
- This member is added by an implicit conversion from JoinLattice[L] to StringFormat[JoinLattice[L]] performed by method StringFormat in scala.Predef.
- Definition Classes
- StringFormat
- Annotations
- @inline()
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final
def
getClass(): Class[_]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
-
def
gt(x: L, y: L): Boolean
- Definition Classes
- PartialOrdering
-
def
gteq(x: L, y: L): Boolean
- Definition Classes
- PartialOrdering
-
def
hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
-
final
def
ifEmpty[B](a: L)(t: ⇒ B)(f: ⇒ B)(implicit eq: Equal[L]): B
- Definition Classes
- Monoid
-
final
def
isInstanceOf[T0]: Boolean
- Definition Classes
- Any
-
def
isMZero(a: L)(implicit eq: Equal[L]): Boolean
- Definition Classes
- Monoid
-
def
lt(x: L, y: L): Boolean
- Definition Classes
- PartialOrdering
-
def
lteq(x: L, y: L): Boolean
- Definition Classes
- JoinLattice → PartialOrdering
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def
monoidLaw: MonoidLaw
- Definition Classes
- Monoid
-
val
monoidSyntax: MonoidSyntax[L]
- Definition Classes
- Monoid
-
def
multiply(value: L, n: Int): L
- Definition Classes
- Monoid
-
def
multiply1(value: L, n: Int): L
- Definition Classes
- Semigroup
-
final
def
ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
-
final
def
notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
-
final
def
notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
-
final
def
onEmpty[A, B](a: L)(v: ⇒ B)(implicit eq: Equal[L], mb: Monoid[B]): B
- Definition Classes
- Monoid
-
final
def
onNotEmpty[B](a: L)(v: ⇒ B)(implicit eq: Equal[L], mb: Monoid[B]): B
- Definition Classes
- Monoid
-
def
reverse: PartialOrdering[L]
- Definition Classes
- PartialOrdering
-
def
semigroupLaw: SemigroupLaw
- Definition Classes
- Semigroup
-
val
semigroupSyntax: SemigroupSyntax[L]
- Definition Classes
- Semigroup
-
final
def
synchronized[T0](arg0: ⇒ T0): T0
- Definition Classes
- AnyRef
-
def
toString(): String
- Definition Classes
- AnyRef → Any
-
def
totalLessThan(a: L, b: L): Boolean
ADDED Force an artificial total order to sort final values and have a deterministic output.
ADDED Force an artificial total order to sort final values and have a deterministic output. (The corresponding <= is not always transitive, but it is good enough.)
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def
tryCompare(x: L, y: L): Option[Int]
- Definition Classes
- JoinLattice → PartialOrdering
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final
def
wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws( ... )
-
final
def
wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @throws( ... )
-
final
def
wait(): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws( ... )
-
def
zero: L
- Definition Classes
- JoinLattice → Monoid
-
def
→[B](y: B): (JoinLattice[L], B)
- Implicit
- This member is added by an implicit conversion from JoinLattice[L] to ArrowAssoc[JoinLattice[L]] performed by method ArrowAssoc in scala.Predef.
- Definition Classes
- ArrowAssoc