spire.algebra

AdditiveMonoid

Related Doc: package algebra

trait AdditiveMonoid[A] extends AdditiveSemigroup[A]

Linear Supertypes
AdditiveSemigroup[A], Any
Known Subclasses
AdditiveAbGroup, AdditiveCMonoid, AdditiveGroup, ArrayCoordinateSpace, BigDecimalAlgebra, BigDecimalIsField, BigIntAlgebra, BigIntIsEuclideanRing, BooleanIsRig, BooleanStructure, ByteAlgebra, ByteIsEuclideanRing, CRig, CRing, ComplexIsNumeric, CoordinateSpace, DistEuclideanRing, DistField, DistInnerProductSpace, DistModule, DistNormedVectorSpace, DistRig, DistRing, DistRng, DistSemiring, DistVectorSpace, DoubleAlgebra, DoubleIsField, EuclideanRing, Field, FieldAlgebra, FloatAlgebra, FloatIsField, Fractional, InnerProductSpace, IntAlgebra, IntIsEuclideanRing, Integral, LongAlgebra, LongIsEuclideanRing, MapInnerProductSpace, MapRng, MapSemiring, MapVectorSpace, Module, NormedVectorSpace, Numeric, OptionAdditiveMonoid, PolynomialEuclideanRing, PolynomialRig, PolynomialRing, PolynomialRng, PolynomialSemiring, RealAlgebra, RealIsFractional, Rig, Ring, RingAlgebra, Rng, Semiring, SeqCoordinateSpace, SeqInnerProductSpace, SeqLpNormedVectorSpace, SeqMaxNormedVectorSpace, SeqModule, SeqVectorSpace, ShortAlgebra, ShortIsEuclideanRing, VectorSpace, ZAlgebra, ZModule
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Inherited
  1. AdditiveMonoid
  2. AdditiveSemigroup
  3. Any
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Visibility
  1. Public
  2. All

Abstract Value Members

  1. abstract def getClass(): Class[_]

    Definition Classes
    Any

  2. abstract def plus(x: A, y: A): A

    Definition Classes
    AdditiveSemigroup

  3. abstract def zero: A

Concrete Value Members

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

    Definition Classes
    Any

  2. final def ##(): Int

    Definition Classes
    Any

  3. final def ==(arg0: Any): Boolean

    Definition Classes
    Any

  4. def additive: Monoid[A]

    Definition Classes
    AdditiveMonoid → AdditiveSemigroup

  5. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  6. def equals(arg0: Any): Boolean

    Definition Classes
    Any

  7. def hashCode(): Int

    Definition Classes
    Any

  8. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  9. def isZero(a: A)(implicit ev: Eq[A]): Boolean

    Tests if a is zero.

  10. def sum(as: TraversableOnce[A]): A

    Given a sequence of as, sum them using the monoid and return the total.

  11. 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

  12. 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

  13. def sumnAboveOne(a: A, n: Int): A

    Attributes
    protected
    Definition Classes
    AdditiveSemigroup

  14. def toString(): String

    Definition Classes
    Any

Inherited from AdditiveSemigroup[A]

Inherited from Any

Ungrouped