spire.algebra

DivisionRing

trait DivisionRing[A] extends Ring[A] with MultiplicativeGroup[A]

Self Type
DivisionRing[A]
Linear Supertypes
algebra.ring.MultiplicativeGroup[A], algebra.ring.Ring[A], algebra.ring.Rng[A], AdditiveCommutativeGroup[A], algebra.ring.AdditiveGroup[A], algebra.ring.Rig[A], algebra.ring.MultiplicativeMonoid[A], algebra.ring.Semiring[A], algebra.ring.MultiplicativeSemigroup[A], AdditiveCommutativeMonoid[A], AdditiveCommutativeSemigroup[A], algebra.ring.AdditiveMonoid[A], algebra.ring.AdditiveSemigroup[A], Serializable, Serializable, Any
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Inherited
  1. DivisionRing
  2. MultiplicativeGroup
  3. Ring
  4. Rng
  5. AdditiveCommutativeGroup
  6. AdditiveGroup
  7. Rig
  8. MultiplicativeMonoid
  9. Semiring
  10. MultiplicativeSemigroup
  11. AdditiveCommutativeMonoid
  12. AdditiveCommutativeSemigroup
  13. AdditiveMonoid
  14. AdditiveSemigroup
  15. Serializable
  16. Serializable
  17. Any
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Abstract Value Members

  1. abstract def div(x: A, y: A): A

    Definition Classes
    MultiplicativeGroup

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

    Definition Classes
    Any

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

    Definition Classes
    AdditiveGroup

  4. abstract def one: A

    Definition Classes
    MultiplicativeMonoid

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

    Definition Classes
    AdditiveSemigroup

  6. abstract def times(x: A, y: A): A

    Definition Classes
    MultiplicativeSemigroup

  7. abstract def zero: A

    Definition Classes
    AdditiveMonoid

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: CommutativeGroup[A]

    Definition Classes
    AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  5. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  6. def equals(arg0: Any): Boolean

    Definition Classes
    Any

  7. def fromBigInt(n: BigInt): A

    Definition Classes
    Ring

  8. def fromDouble(a: Double): A

  9. def fromInt(n: Int): A

    Definition Classes
    Ring

  10. def hashCode(): Int

    Definition Classes
    Any

  11. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  12. def isOne(a: A)(implicit ev: algebra.Eq[A]): Boolean

    Definition Classes
    MultiplicativeMonoid

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

    Definition Classes
    AdditiveMonoid

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

    Definition Classes
    AdditiveGroup

  15. def multiplicative: algebra.Group[A]

    Definition Classes
    MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup

  16. def positivePow(a: A, n: Int): A

    Attributes
    protected[this]
    Definition Classes
    MultiplicativeSemigroup

  17. def positiveSumN(a: A, n: Int): A

    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup

  18. def pow(a: A, n: Int): A

    Definition Classes
    MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup

  19. def product(as: TraversableOnce[A]): A

    Definition Classes
    MultiplicativeMonoid

  20. def reciprocal(x: A): A

    Definition Classes
    MultiplicativeGroup

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

    Definition Classes
    AdditiveMonoid

  22. def sumN(a: A, n: Int): A

    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  23. def toString(): String

    Definition Classes
    Any

  24. def tryProduct(as: TraversableOnce[A]): Option[A]

    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

  25. def trySum(as: TraversableOnce[A]): Option[A]

    Definition Classes
    AdditiveMonoid → AdditiveSemigroup

Inherited from algebra.ring.MultiplicativeGroup[A]

Inherited from algebra.ring.Ring[A]

Inherited from algebra.ring.Rng[A]

Inherited from AdditiveCommutativeGroup[A]

Inherited from algebra.ring.AdditiveGroup[A]

Inherited from algebra.ring.Rig[A]

Inherited from algebra.ring.MultiplicativeMonoid[A]

Inherited from algebra.ring.Semiring[A]

Inherited from algebra.ring.MultiplicativeSemigroup[A]

Inherited from AdditiveCommutativeMonoid[A]

Inherited from AdditiveCommutativeSemigroup[A]

Inherited from algebra.ring.AdditiveMonoid[A]

Inherited from algebra.ring.AdditiveSemigroup[A]

Inherited from Serializable

Inherited from Serializable

Inherited from Any

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