Trait

spire.algebra

AdditiveGroup

Related Doc: package algebra

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trait AdditiveGroup[A] extends AdditiveMonoid[A]

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

Abstract Value Members

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

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    Definition Classes
    Any

  2. abstract def negate(x: A): A

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

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    Definition Classes
    AdditiveSemigroup

  4. abstract def zero: A

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    Definition Classes
    AdditiveMonoid

Concrete Value Members

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

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    Definition Classes
    Any

  2. final def ##(): Int

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    Definition Classes
    Any

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

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    Definition Classes
    Any

  4. def additive: Group[A]

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    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  5. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any

  6. def equals(arg0: Any): Boolean

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    Definition Classes
    Any

  7. def hashCode(): Int

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    Definition Classes
    Any

  8. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any

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

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    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid

  10. def minus(x: A, y: A): A

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

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

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

    Definition Classes
    AdditiveMonoid

  12. def sumOption(as: TraversableOnce[A]): Option[A]

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    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

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

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    Return a added with itself n times.

    Return a added with itself n times.

    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

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

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    Attributes
    protected
    Definition Classes
    AdditiveSemigroup

  15. def toString(): String

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    Definition Classes
    Any

Inherited from AdditiveMonoid[A]

Inherited from AdditiveSemigroup[A]

Inherited from Any

Ungrouped