Trait/Object

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Monoid

Related Docs: object Monoid | package algebird

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trait Monoid[T] extends Semigroup[T] with algebra.Monoid[T] with AdditiveMonoid[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
AdditiveMonoid[T], cats.kernel.Monoid[T], Semigroup[T], AdditiveSemigroup[T], cats.kernel.Semigroup[T], Serializable, Serializable, AnyRef, Any
Known Subclasses
AbstractGroup, AbstractMonoid, AbstractRing, AdjoinedUnitRing, AffineFunctionMonoid, AndValMonoid, ApplicativeGroup, ApplicativeMonoid, ApplicativeRing, ArrayGroup, ArrayMonoid, AveragedGroup, BatchedMonoid, BigDecimalRing, BigIntRing, BloomFilterMonoid, BooleanRing, CMSMonoid, ConstantGroup, ConstantRing, DecayedValueMonoid, DoubleRing, EitherMonoid, EventuallyGroup, EventuallyMonoid, EventuallyRing, FloatRing, FromAlgebraGroup, FromAlgebraMonoid, FromAlgebraRing, Function1Monoid, GaussianDistributionMonoid, GenericMapMonoid, Group, HashingTrickMonoid, HyperLogLogMonoid, HyperLogLogSeriesMonoid, IndexedSeqGroup, IndexedSeqMonoid, IndexedSeqRing, IntRing, InvariantGroup, InvariantMonoid, InvariantRing, JBoolRing, JDoubleRing, JFloatRing, JIntRing, JListMonoid, JLongRing, JMapMonoid, JShortRing, ListMonoid, LongRing, MapGroup, MapMonoid, MapRing, MinHasher, MinHasher16, MinHasher32, 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, ScopedTopNCMSMonoid, SeqMonoid, SetMonoid, ShortRing, SketchMapMonoid, StatisticsGroup, StatisticsMonoid, StatisticsRing, StringMonoid, TopCMSMonoid, 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, UnsafeFromAlgebraRig, UnsafeFromAlgebraRng, WindowMonoid, WindowMonoidFromGroup, WindowMonoidFromMonoid
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. Monoid
  2. AdditiveMonoid
  3. Monoid
  4. Semigroup
  5. AdditiveSemigroup
  6. Semigroup
  7. Serializable
  8. Serializable
  9. AnyRef
  10. Any
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Visibility
  1. Public
  2. All

Abstract Value Members

  1. abstract def plus(x: T, y: T): T

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    Definition Classes
    AdditiveSemigroup
  2. abstract def zero: T

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    Definition Classes
    AdditiveMonoid

Concrete Value Members

  1. final def !=(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  2. final def ##(): Int

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    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  4. def additive: algebra.Monoid[T]

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    These are from algebra.Monoid

    These are from algebra.Monoid

    Definition Classes
    Monoid → AdditiveMonoid → Semigroup → AdditiveSemigroup
  5. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  6. def assertNotZero(v: T): Unit

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  7. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  8. def combine(l: T, r: T): T

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    Definition Classes
    Semigroup → Semigroup
  9. def combineAll(t: TraversableOnce[T]): T

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    Definition Classes
    Monoid → Monoid
  10. def combineAllOption(as: IterableOnce[T]): Option[T]

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    Definition Classes
    Monoid → Semigroup
  11. def combineN(a: T, n: Int): T

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    Definition Classes
    Monoid → Semigroup
  12. def empty: T

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    Definition Classes
    Monoid → Monoid
  13. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  14. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  15. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  16. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  17. def hashCode(): Int

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    Definition Classes
    AnyRef → Any
  18. def isEmpty(a: T)(implicit ev: Eq[T]): Boolean

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    Definition Classes
    Monoid
  19. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  20. def isNonZero(v: T): Boolean

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  21. def isZero(a: T)(implicit ev: Eq[T]): Boolean

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    Definition Classes
    AdditiveMonoid
  22. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  23. def nonZeroOption(v: T): Option[T]

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  24. final def notify(): Unit

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    Definition Classes
    AnyRef
  25. final def notifyAll(): Unit

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    Definition Classes
    AnyRef
  26. def positiveSumN(a: T, n: Int): T

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    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup
  27. def repeatedCombineN(a: T, n: Int): T

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    Attributes
    protected[this]
    Definition Classes
    Semigroup
  28. def sum(vs: TraversableOnce[T]): T

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    Definition Classes
    Monoid → AdditiveMonoid
  29. def sumN(a: T, n: Int): T

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    Definition Classes
    AdditiveMonoid → AdditiveSemigroup
  30. def sumOption(iter: TraversableOnce[T]): Option[T]

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    Returns an instance of T calculated by summing all instances in iter in one pass.

    Returns an instance of T calculated by summing all instances in iter in one pass. Returns None if iter is empty, else Some[T].

    iter

    instances of T to be combined

    returns

    None if iter is empty, else an option value containing the summed T

    Definition Classes
    Semigroup
    Note

    Override if there is a faster way to compute this sum than iter.reduceLeftOption using plus.

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

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    Definition Classes
    AnyRef
  32. def toString(): String

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    Definition Classes
    AnyRef → Any
  33. def trySum(as: TraversableOnce[T]): Option[T]

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    Definition Classes
    AdditiveMonoid → AdditiveSemigroup
  34. final def wait(): Unit

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

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from AdditiveMonoid[T]

Inherited from cats.kernel.Monoid[T]

Inherited from Semigroup[T]

Inherited from AdditiveSemigroup[T]

Inherited from cats.kernel.Semigroup[T]

Inherited from Serializable

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

Ungrouped