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AdditiveMonoid

trait AdditiveMonoid[A] extends AdditiveSemigroup[A]

Linear Supertypes

AdditiveSemigroup[A], Any

Known Subclasses

AdditiveAbGroup, AdditiveCMonoid, AdditiveGroup, CRig, CRing, CoordinateSpace, EuclideanRing, Field, FieldAlgebra, InnerProductSpace, Module, NormedVectorSpace, Rig, Ring, RingAlgebra, Rng, Semiring, VectorSpace, ZAlgebra, ZModule, ComplexIsNumeric, Fractional, Integral, Numeric, PolynomialEuclideanRing, PolynomialRig, PolynomialRing, PolynomialRng, PolynomialSemiring, RealAlgebra, RealIsFractional, DistEuclideanRing, DistField, DistInnerProductSpace, DistModule, DistNormedVectorSpace, DistRig, DistRing, DistRng, DistSemiring, DistVectorSpace, ArrayCoordinateSpace, BigDecimalAlgebra, BigDecimalIsField, BigIntAlgebra, BigIntIsEuclideanRing, BigIntegerAlgebra, BigIntegerIsEuclideanRing, BooleanIsRig, BooleanStructure, ByteAlgebra, ByteIsEuclideanRing, DoubleAlgebra, DoubleIsField, FloatAlgebra, FloatIsField, IntAlgebra, IntIsEuclideanRing, LongAlgebra, LongIsEuclideanRing, MapInnerProductSpace, MapRng, MapSemiring, MapVectorSpace, OptionAdditiveMonoid, SeqCoordinateSpace, SeqInnerProductSpace, SeqLpNormedVectorSpace, SeqMaxNormedVectorSpace, SeqModule, SeqVectorSpace, ShortAlgebra, ShortIsEuclideanRing

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By Inheritance

Inherited

AdditiveMonoid
AdditiveSemigroup
Any

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Visibility

Public
All

Abstract Value Members

abstract def getClass(): Class[_]

Definition Classes
Any
abstract def plus(x: A, y: A): A

Definition Classes
AdditiveSemigroup
abstract def zero: A

Concrete Value Members

final def !=(arg0: Any): Boolean

Definition Classes
Any
final def ##(): Int

Definition Classes
Any
final def ==(arg0: Any): Boolean

Definition Classes
Any
def additive: Monoid[A]

Definition Classes
AdditiveMonoid → AdditiveSemigroup
final def asInstanceOf[T0]: T0

Definition Classes
Any
def equals(arg0: Any): Boolean

Definition Classes
Any
def hashCode(): Int

Definition Classes
Any
final def isInstanceOf[T0]: Boolean

Definition Classes
Any
def isZero(a: A)(implicit ev: Eq[A]): Boolean
Tests if a is zero.
def sum(as: TraversableOnce[A]): A
Given a sequence of as, sum them using the monoid and return the total.
def sumOption(as: TraversableOnce[A]): Option[A]
Given a sequence of as, sum them using the semigroup and return the total.
Given a sequence of as, sum them using the semigroup and return the total.
If the sequence is empty, returns None. Otherwise, returns Some(total).

Definition Classes
AdditiveSemigroup
def sumn(a: A, n: Int): A
Return a added with itself n times.
Return a added with itself n times.

Definition Classes
AdditiveMonoid → AdditiveSemigroup
def sumnAboveOne(a: A, n: Int): A

Attributes
protected
Definition Classes
AdditiveSemigroup
def toString(): String

Definition Classes
Any

Inherited from AdditiveSemigroup[A]

Inherited from Any

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