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Monoid

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
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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
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Abstract Value Members

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

    Definition Classes
    AdditiveSemigroup
  2. abstract def zero: T

    Definition Classes
    AdditiveMonoid

Concrete Value Members

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

    Definition Classes
    AnyRef
  2. final def !=(arg0: Any): Boolean

    Definition Classes
    Any
  3. final def ##(): Int

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

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

    Definition Classes
    Any
  6. def additive: algebra.Monoid[T]

    These are from algebra.

    These are from algebra.Monoid

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

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

  9. def clone(): AnyRef

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

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

    Definition Classes
    Monoid → Monoid
  12. def combineAllOption(as: TraversableOnce[T]): Option[T]

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

    Definition Classes
    Monoid → Semigroup
  14. def empty: T

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

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

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

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

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

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

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

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

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

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

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

  26. final def notify(): Unit

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

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

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

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

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

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

    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.

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

    Definition Classes
    AnyRef
  34. def toString(): String

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

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

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

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

    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