Trait/Object

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Monoid

Related Docs: object Monoid | package algebird

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trait Monoid[T] extends Semigroup[T]

Monoid (take a deep breath, and relax about the weird name): This is a semigroup that has an additive identity (called zero), such that a+0=a, 0+a=a, for every a

Annotations: @implicitNotFound( ... )

Linear Supertypes

Semigroup[T], Serializable, AnyRef, Any

Known Subclasses

AbstractField, AbstractGroup, AbstractMonoid, AbstractRing, AdjoinedUnitRing, AffineFunctionMonoid, AndValMonoid, ApplicativeField, ApplicativeGroup, ApplicativeMonoid, ApplicativeRing, ArrayGroup, ArrayMonoid, AveragedGroup, BigIntRing, BloomFilterMonoid, BooleanField, CMSMonoid, ConstantGroup, DecayedValueMonoid, DoubleField, EitherMonoid, EventuallyGroup, EventuallyMonoid, EventuallyRing, Field, FloatField, Function1Monoid, GaussianDistributionMonoid, GenericMapMonoid, GenericMapRing, Group, HashingTrickMonoid, HyperLogLogMonoid, HyperLogLogSeriesMonoid, IndexedSeqGroup, IndexedSeqMonoid, IndexedSeqRing, IntRing, JBoolField, JDoubleField, JFloatField, JIntRing, JListMonoid, JLongRing, JMapMonoid, JShortRing, ListMonoid, LongRing, MapGroup, MapMonoid, MapRing, MinHasher, MinHasher16, MinHasher32, MinPlusSemiring, MomentsGroup, MonoidCombinator, NullGroup, NumericRing, OptionGroup, OptionMonoid, OrValMonoid, PriorityQueueMonoid, Product10Group, Product10Monoid, Product10Ring, Product11Group, Product11Monoid, Product11Ring, Product12Group, Product12Monoid, Product12Ring, Product13Group, Product13Monoid, Product13Ring, Product14Group, Product14Monoid, Product14Ring, Product15Group, Product15Monoid, Product15Ring, Product16Group, Product16Monoid, Product16Ring, Product17Group, Product17Monoid, Product17Ring, Product18Group, Product18Monoid, Product18Ring, Product19Group, Product19Monoid, Product19Ring, Product20Group, Product20Monoid, Product20Ring, Product21Group, Product21Monoid, Product21Ring, Product22Group, Product22Monoid, Product22Ring, Product2Group, Product2Monoid, Product2Ring, Product3Group, Product3Monoid, Product3Ring, Product4Group, Product4Monoid, Product4Ring, Product5Group, Product5Monoid, Product5Ring, Product6Group, Product6Monoid, Product6Ring, Product7Group, Product7Monoid, Product7Ring, Product8Group, Product8Monoid, Product8Ring, Product9Group, Product9Monoid, Product9Ring, ResetStateMonoid, RightFolded2Monoid, Ring, SGDMonoid, ScMapGroup, ScMapMonoid, ScMapRing, SeqMonoid, SetMonoid, ShortRing, SketchMapMonoid, StatisticsGroup, StatisticsMonoid, StatisticsRing, StringMonoid, TopKMonoid, TopNCMSMonoid, TopPctCMSMonoid, Tuple10Group, Tuple10Monoid, Tuple10Ring, Tuple11Group, Tuple11Monoid, Tuple11Ring, Tuple12Group, Tuple12Monoid, Tuple12Ring, Tuple13Group, Tuple13Monoid, Tuple13Ring, Tuple14Group, Tuple14Monoid, Tuple14Ring, Tuple15Group, Tuple15Monoid, Tuple15Ring, Tuple16Group, Tuple16Monoid, Tuple16Ring, Tuple17Group, Tuple17Monoid, Tuple17Ring, Tuple18Group, Tuple18Monoid, Tuple18Ring, Tuple19Group, Tuple19Monoid, Tuple19Ring, Tuple20Group, Tuple20Monoid, Tuple20Ring, Tuple21Group, Tuple21Monoid, Tuple21Ring, Tuple22Group, Tuple22Monoid, Tuple22Ring, Tuple2Group, Tuple2Monoid, Tuple2Ring, Tuple3Group, Tuple3Monoid, Tuple3Ring, Tuple4Group, Tuple4Monoid, Tuple4Ring, Tuple5Group, Tuple5Monoid, Tuple5Ring, Tuple6Group, Tuple6Monoid, Tuple6Ring, Tuple7Group, Tuple7Monoid, Tuple7Ring, Tuple8Group, Tuple8Monoid, Tuple8Ring, Tuple9Group, Tuple9Monoid, Tuple9Ring, UnitGroup

Ordering

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By inheritance

Inherited

Monoid
Semigroup
Serializable
AnyRef
Any

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Visibility

Public
All

Abstract Value Members

abstract def plus(l: T, r: T): T

Definition Classes
Semigroup
abstract def zero: T

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 asInstanceOf[T0]: T0

Definition Classes
Any
def assertNotZero(v: T): Unit
def clone(): AnyRef

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( ... )
final def eq(arg0: AnyRef): Boolean

Definition Classes
AnyRef
def equals(arg0: Any): 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[_]

Definition Classes
AnyRef → Any
def hashCode(): Int

Definition Classes
AnyRef → Any
final def isInstanceOf[T0]: Boolean

Definition Classes
Any
def isNonZero(v: T): Boolean
final def ne(arg0: AnyRef): Boolean

Definition Classes
AnyRef
def nonZeroOption(v: T): Option[T]
final def notify(): Unit

Definition Classes
AnyRef
final def notifyAll(): Unit

Definition Classes
AnyRef
def sum(vs: TraversableOnce[T]): T
def sumOption(iter: TraversableOnce[T]): Option[T]

override this if there is a faster way to do this sum than reduceLeftOption on plus
override this if there is a faster way to do this sum than reduceLeftOption on plus

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

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

Definition Classes
AnyRef
Annotations
@throws( ... )

Inherited from Semigroup[T]

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

Ungrouped