ISet

Abstract Value Members

abstract val size: Int

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 \\(other: ISet[A])(implicit o: Order[A]): ISet[A]
final def asInstanceOf[T0]: T0

Definition Classes
Any
def clone(): AnyRef

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( ... )
final def contains(x: A)(implicit o: Order[A]): Boolean

Alias for member
final def delete(x: A)(implicit o: Order[A]): ISet[A]
final def deleteAt(i: Int): ISet[A]
final def deleteFindMax: (A, ISet[A])
final def deleteFindMin: (A, ISet[A])
final def deleteMax: ISet[A]
final def deleteMin: ISet[A]
final def difference(other: ISet[A])(implicit o: Order[A]): ISet[A]
final def elemAt(i: Int): Option[A]

Alias for Foldable[ISet].index
final def elems: List[A]
final def eq(arg0: AnyRef): Boolean

Definition Classes
AnyRef
final def equals(other: Any): Boolean

Definition Classes
ISet → AnyRef → Any
final def filter(p: (A) ⇒ Boolean): ISet[A]
final def filterGt(a: Option[A])(implicit o: Order[A]): ISet[A]
final def filterLt(a: Option[A])(implicit o: Order[A]): ISet[A]
def finalize(): Unit

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( classOf[java.lang.Throwable] )
final def findMax: Option[A]

Annotations
@tailrec()
final def findMin: Option[A]

Annotations
@tailrec()
final def foldLeft[B](z: B)(f: (B, A) ⇒ B): B
final def foldRight[B](z: B)(f: (A, B) ⇒ B): B
final def foldl[B](z: B)(f: (B, A) ⇒ B): B
final def foldr[B](z: B)(f: (A, B) ⇒ B): B
final def getClass(): Class[_]

Definition Classes
AnyRef → Any
final def hashCode(): Int

Definition Classes
ISet → AnyRef → Any
final def insert(x: A)(implicit o: Order[A]): ISet[A]
final def intersection(other: ISet[A])(implicit o: Order[A]): ISet[A]
final def isEmpty: Boolean
final def isInstanceOf[T0]: Boolean

Definition Classes
Any
final def isProperSubsetOf(other: ISet[A])(implicit o: Order[A]): Boolean
final def isSubsetOf(other: ISet[A])(implicit o: Order[A]): Boolean
final def lookupGE(x: A)(implicit o: Order[A]): Option[A]

Annotations
@tailrec()
final def lookupGT(x: A)(implicit o: Order[A]): Option[A]

Annotations
@tailrec()
final def lookupIndex(x: A)(implicit o: Order[A]): Option[Int]
final def lookupLE(x: A)(implicit o: Order[A]): Option[A]

Annotations
@tailrec()
final def lookupLT(x: A)(implicit o: Order[A]): Option[A]

Annotations
@tailrec()
def map[B](f: (A) ⇒ B)(implicit arg0: Order[B]): ISet[B]

The Functor composition law only holds for functions that preserve equivalence, i.e.
The Functor composition law only holds for functions that preserve equivalence, i.e. for functions f such that
- ∀ a1, a2 ∈ A
  - Order[A].equal(a1, a2) ⇒ Order[B].equal(f(a1), f(a2))
In the case when the equivalence implied by Order[A] is in fact _equality_, i.e. the finest equivalence, i.e. satisfying the _substitution property_ (which is the above property quantified over all f, see Wikipedia page on Equality), the requirement holds for all f by definition.
When Order instances are viewed as "mere" equivalences (as opposed to equalities), we can loosely say that ISet is an (endo-)functor in the category _Equiv_ of sets with an equivalence relation (where the morphishms are equivalence-preserving functions, i.e. exactly the functions satisfying the above requirement). By contrast, Functor instances are functors in the _Scala_ category, whose morphisms are arbitrary functions, including the ones that don't preserve equivalence.
Note: this is not able to implement Functor due to the Order constraint on the destination type, however it still is a functor in the mathematical sense.
Documentation as copied from the Haskell source:
```
-- | /O(n*log n)/.
-- @'map' f s@ is the set obtained by applying @f@ to each element of @s@.
--
-- It's worth noting that the size of the result may be smaller if,
-- for some @(x,y)@, @x \/= y && f x == f y@
```
final def maxView: Option[(A, ISet[A])]
final def member(x: A)(implicit o: Order[A]): Boolean

Annotations
@tailrec()
def merge(other: ISet[A]): ISet[A]

Attributes
protected
final def minView: Option[(A, ISet[A])]
final def ne(arg0: AnyRef): Boolean

Definition Classes
AnyRef
final def notMember(x: A)(implicit o: Order[A]): Boolean
final def notify(): Unit

Definition Classes
AnyRef
final def notifyAll(): Unit

Definition Classes
AnyRef
final def partition(p: (A) ⇒ Boolean): (ISet[A], ISet[A])
final def split(x: A)(implicit o: Order[A]): (ISet[A], ISet[A])
final def splitMember(x: A)(implicit o: Order[A]): (ISet[A], Boolean, ISet[A])
final def splitRoot: List[ISet[A]]
final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes
AnyRef
final def toAscList: List[A]
final def toDescList: List[A]
final def toList: List[A]
def toString(): String

Definition Classes
AnyRef → Any
final def trim(a: Option[A], b: Option[A])(implicit o: Order[A]): ISet[A]
final def union(other: ISet[A])(implicit o: Order[A]): ISet[A]
final def wait(): Unit

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

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

Definition Classes
AnyRef
Annotations
@throws( ... )

Related Docs: object ISet | package scalaz

sealed abstract class ISet[A] extends AnyRef

Abstract Value Members

abstract val size: Int

Concrete Value Members

final def !=(arg0: Any): Boolean

final def ##(): Int

final def ==(arg0: Any): Boolean

final def \\(other: ISet[A])(implicit o: Order[A]): ISet[A]

final def asInstanceOf[T0]: T0

def clone(): AnyRef

final def contains(x: A)(implicit o: Order[A]): Boolean

final def delete(x: A)(implicit o: Order[A]): ISet[A]

final def deleteAt(i: Int): ISet[A]

final def deleteFindMax: (A, ISet[A])

final def deleteFindMin: (A, ISet[A])

final def deleteMax: ISet[A]

final def deleteMin: ISet[A]

final def difference(other: ISet[A])(implicit o: Order[A]): ISet[A]

final def elemAt(i: Int): Option[A]

final def elems: List[A]

final def eq(arg0: AnyRef): Boolean

final def equals(other: Any): Boolean

final def filter(p: (A) ⇒ Boolean): ISet[A]

final def filterGt(a: Option[A])(implicit o: Order[A]): ISet[A]

final def filterLt(a: Option[A])(implicit o: Order[A]): ISet[A]

def finalize(): Unit

final def findMax: Option[A]

final def findMin: Option[A]

final def foldLeft[B](z: B)(f: (B, A) ⇒ B): B

final def foldRight[B](z: B)(f: (A, B) ⇒ B): B

final def foldl[B](z: B)(f: (B, A) ⇒ B): B

final def foldr[B](z: B)(f: (A, B) ⇒ B): B

final def getClass(): Class[_]

final def hashCode(): Int

final def insert(x: A)(implicit o: Order[A]): ISet[A]

final def intersection(other: ISet[A])(implicit o: Order[A]): ISet[A]

final def isEmpty: Boolean

final def isInstanceOf[T0]: Boolean

final def isProperSubsetOf(other: ISet[A])(implicit o: Order[A]): Boolean

final def isSubsetOf(other: ISet[A])(implicit o: Order[A]): Boolean

final def lookupGE(x: A)(implicit o: Order[A]): Option[A]

final def lookupGT(x: A)(implicit o: Order[A]): Option[A]

final def lookupIndex(x: A)(implicit o: Order[A]): Option[Int]

final def lookupLE(x: A)(implicit o: Order[A]): Option[A]

final def lookupLT(x: A)(implicit o: Order[A]): Option[A]

def map[B](f: (A) ⇒ B)(implicit arg0: Order[B]): ISet[B]

final def maxView: Option[(A, ISet[A])]

final def member(x: A)(implicit o: Order[A]): Boolean

def merge(other: ISet[A]): ISet[A]

final def minView: Option[(A, ISet[A])]

final def ne(arg0: AnyRef): Boolean

final def notMember(x: A)(implicit o: Order[A]): Boolean

final def notify(): Unit

final def notifyAll(): Unit

final def partition(p: (A) ⇒ Boolean): (ISet[A], ISet[A])

final def split(x: A)(implicit o: Order[A]): (ISet[A], ISet[A])

final def splitMember(x: A)(implicit o: Order[A]): (ISet[A], Boolean, ISet[A])

final def splitRoot: List[ISet[A]]

final def synchronized[T0](arg0: ⇒ T0): T0

final def toAscList: List[A]

final def toDescList: List[A]

final def toList: List[A]

def toString(): String

final def trim(a: Option[A], b: Option[A])(implicit o: Order[A]): ISet[A]

final def union(other: ISet[A])(implicit o: Order[A]): ISet[A]

final def wait(): Unit

final def wait(arg0: Long, arg1: Int): Unit

final def wait(arg0: Long): Unit

Inherited from AnyRef

Inherited from Any

Ungrouped