Trait

spire.algebra

ZAlgebra

Related Doc: package algebra

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trait ZAlgebra[V] extends RingAlgebra[V, Int] with Ring[V]

Given any Ring[A] we can construct a RingAlgebra[A, Int]. This is possible since we can define fromInt on Ring generally.

Linear Supertypes
algebra.ring.Ring[V], algebra.ring.Rig[V], algebra.ring.MultiplicativeMonoid[V], RingAlgebra[V, Int], algebra.ring.Rng[V], algebra.ring.Semiring[V], algebra.ring.MultiplicativeSemigroup[V], Module[V, Int], AdditiveCommutativeGroup[V], AdditiveCommutativeMonoid[V], AdditiveCommutativeSemigroup[V], algebra.ring.AdditiveGroup[V], algebra.ring.AdditiveMonoid[V], algebra.ring.AdditiveSemigroup[V], Serializable, Serializable, Any
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. ZAlgebra
  2. Ring
  3. Rig
  4. MultiplicativeMonoid
  5. RingAlgebra
  6. Rng
  7. Semiring
  8. MultiplicativeSemigroup
  9. Module
  10. AdditiveCommutativeGroup
  11. AdditiveCommutativeMonoid
  12. AdditiveCommutativeSemigroup
  13. AdditiveGroup
  14. AdditiveMonoid
  15. AdditiveSemigroup
  16. Serializable
  17. Serializable
  18. 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. implicit abstract def scalar: Ring[Int]

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    Definition Classes
    ZAlgebra → Module

  3. implicit abstract def vector: Ring[V]

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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: CommutativeGroup[V]

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    Definition Classes
    AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → 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 fromBigInt(n: BigInt): V

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    Definition Classes
    Ring

  8. def fromInt(n: Int): V

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    Definition Classes
    ZAlgebra → Ring

  9. def hashCode(): Int

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    Definition Classes
    Any

  10. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any

  11. def isOne(a: V)(implicit ev: algebra.Eq[V]): Boolean

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    Definition Classes
    MultiplicativeMonoid

  12. def isZero(a: V)(implicit ev: algebra.Eq[V]): Boolean

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    Definition Classes
    AdditiveMonoid

  13. def minus(v: V, w: V): V

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    Definition Classes
    ZAlgebra → AdditiveGroup

  14. def multiplicative: algebra.Monoid[V]

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    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

  15. def negate(v: V): V

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    Definition Classes
    ZAlgebra → AdditiveGroup

  16. def one: V

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    Definition Classes
    ZAlgebra → MultiplicativeMonoid

  17. def plus(v: V, w: V): V

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    Definition Classes
    ZAlgebra → AdditiveSemigroup

  18. def positivePow(a: V, n: Int): V

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    Attributes
    protected[this]
    Definition Classes
    MultiplicativeSemigroup

  19. def positiveSumN(a: V, n: Int): V

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    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup

  20. def pow(a: V, n: Int): V

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    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

  21. def product(as: TraversableOnce[V]): V

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    Definition Classes
    MultiplicativeMonoid

  22. def sum(as: TraversableOnce[V]): V

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    Definition Classes
    AdditiveMonoid

  23. def sumN(a: V, n: Int): V

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    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  24. def times(v: V, w: V): V

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    Definition Classes
    ZAlgebra → MultiplicativeSemigroup

  25. def timesl(r: Int, v: V): V

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    Definition Classes
    ZAlgebra → Module

  26. def timesr(v: V, r: Int): V

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    Definition Classes
    Module

  27. def toString(): String

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    Definition Classes
    Any

  28. def tryProduct(as: TraversableOnce[V]): Option[V]

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    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

  29. def trySum(as: TraversableOnce[V]): Option[V]

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    Definition Classes
    AdditiveMonoid → AdditiveSemigroup

  30. def zero: V

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    Definition Classes
    ZAlgebra → AdditiveMonoid

Inherited from algebra.ring.Ring[V]

Inherited from algebra.ring.Rig[V]

Inherited from algebra.ring.MultiplicativeMonoid[V]

Inherited from RingAlgebra[V, Int]

Inherited from algebra.ring.Rng[V]

Inherited from algebra.ring.Semiring[V]

Inherited from algebra.ring.MultiplicativeSemigroup[V]

Inherited from Module[V, Int]

Inherited from AdditiveCommutativeGroup[V]

Inherited from AdditiveCommutativeMonoid[V]

Inherited from AdditiveCommutativeSemigroup[V]

Inherited from algebra.ring.AdditiveGroup[V]

Inherited from algebra.ring.AdditiveMonoid[V]

Inherited from algebra.ring.AdditiveSemigroup[V]

Inherited from Serializable

Inherited from Serializable

Inherited from Any

Ungrouped