spire.algebra

EuclideanRingProduct13

trait EuclideanRingProduct13[A, B, C, D, E, F, G, H, I, J, K, L, M] extends EuclideanRing[(A, B, C, D, E, F, G, H, I, J, K, L, M)] with RingProduct13[A, B, C, D, E, F, G, H, I, J, K, L, M]

Linear Supertypes
RingProduct13[A, B, C, D, E, F, G, H, I, J, K, L, M], RngProduct13[A, B, C, D, E, F, G, H, I, J, K, L, M], SemiringProduct13[A, B, C, D, E, F, G, H, I, J, K, L, M], EuclideanRing[(A, B, C, D, E, F, G, H, I, J, K, L, M)], Ring[(A, B, C, D, E, F, G, H, I, J, K, L, M)], Rng[(A, B, C, D, E, F, G, H, I, J, K, L, M)], AdditiveAbGroup[(A, B, C, D, E, F, G, H, I, J, K, L, M)], AdditiveGroup[(A, B, C, D, E, F, G, H, I, J, K, L, M)], Rig[(A, B, C, D, E, F, G, H, I, J, K, L, M)], MultiplicativeMonoid[(A, B, C, D, E, F, G, H, I, J, K, L, M)], AdditiveMonoid[(A, B, C, D, E, F, G, H, I, J, K, L, M)], Semiring[(A, B, C, D, E, F, G, H, I, J, K, L, M)], MultiplicativeSemigroup[(A, B, C, D, E, F, G, H, I, J, K, L, M)], AdditiveSemigroup[(A, B, C, D, E, F, G, H, I, J, K, L, M)], AnyRef, Any
Known Subclasses
FieldProduct13
Ordering
  1. Alphabetic
  2. By inheritance
Inherited
  1. Hide All
  2. Show all
  1. EuclideanRingProduct13
  2. RingProduct13
  3. RngProduct13
  4. SemiringProduct13
  5. EuclideanRing
  6. Ring
  7. Rng
  8. AdditiveAbGroup
  9. AdditiveGroup
  10. Rig
  11. MultiplicativeMonoid
  12. AdditiveMonoid
  13. Semiring
  14. MultiplicativeSemigroup
  15. AdditiveSemigroup
  16. AnyRef
  17. Any
Visibility
  1. Public
  2. All

Abstract Value Members

  1. implicit abstract def structure1: EuclideanRing[A]

    Definition Classes
    EuclideanRingProduct13 → RingProduct13 → RngProduct13 → SemiringProduct13

  2. implicit abstract def structure10: EuclideanRing[J]

    Definition Classes
    EuclideanRingProduct13 → RingProduct13 → RngProduct13 → SemiringProduct13

  3. implicit abstract def structure11: EuclideanRing[K]

    Definition Classes
    EuclideanRingProduct13 → RingProduct13 → RngProduct13 → SemiringProduct13

  4. implicit abstract def structure12: EuclideanRing[L]

    Definition Classes
    EuclideanRingProduct13 → RingProduct13 → RngProduct13 → SemiringProduct13

  5. implicit abstract def structure13: EuclideanRing[M]

    Definition Classes
    EuclideanRingProduct13 → RingProduct13 → RngProduct13 → SemiringProduct13

  6. implicit abstract def structure2: EuclideanRing[B]

    Definition Classes
    EuclideanRingProduct13 → RingProduct13 → RngProduct13 → SemiringProduct13

  7. implicit abstract def structure3: EuclideanRing[C]

    Definition Classes
    EuclideanRingProduct13 → RingProduct13 → RngProduct13 → SemiringProduct13

  8. implicit abstract def structure4: EuclideanRing[D]

    Definition Classes
    EuclideanRingProduct13 → RingProduct13 → RngProduct13 → SemiringProduct13

  9. implicit abstract def structure5: EuclideanRing[E]

    Definition Classes
    EuclideanRingProduct13 → RingProduct13 → RngProduct13 → SemiringProduct13

  10. implicit abstract def structure6: EuclideanRing[F]

    Definition Classes
    EuclideanRingProduct13 → RingProduct13 → RngProduct13 → SemiringProduct13

  11. implicit abstract def structure7: EuclideanRing[G]

    Definition Classes
    EuclideanRingProduct13 → RingProduct13 → RngProduct13 → SemiringProduct13

  12. implicit abstract def structure8: EuclideanRing[H]

    Definition Classes
    EuclideanRingProduct13 → RingProduct13 → RngProduct13 → SemiringProduct13

  13. implicit abstract def structure9: EuclideanRing[I]

    Definition Classes
    EuclideanRingProduct13 → RingProduct13 → RngProduct13 → SemiringProduct13

Concrete Value Members

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

    Definition Classes
    AnyRef

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

    Definition Classes
    Any

  3. final def ##(): Int

    Definition Classes
    AnyRef → Any

  4. final def ==(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

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

    Definition Classes
    Any

  6. def additive: AbGroup[(A, B, C, D, E, F, G, H, I, J, K, L, M)]

    Definition Classes
    AdditiveAbGroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  7. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  8. def clone(): AnyRef

    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws()

  9. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  10. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any

  11. final def euclid(a: (A, B, C, D, E, F, G, H, I, J, K, L, M), b: (A, B, C, D, E, F, G, H, I, J, K, L, M))(implicit eq: Eq[(A, B, C, D, E, F, G, H, I, J, K, L, M)]): (A, B, C, D, E, F, G, H, I, J, K, L, M)

    Attributes
    protected[this]
    Definition Classes
    EuclideanRing
    Annotations
    @tailrec()

  12. def finalize(): Unit

    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws()

  13. def fromInt(x0: Int): (A, B, C, D, E, F, G, H, I, J, K, L, M)

    Definition Classes
    RingProduct13 → Ring

  14. def gcd(x0: (A, B, C, D, E, F, G, H, I, J, K, L, M), x1: (A, B, C, D, E, F, G, H, I, J, K, L, M)): (A, B, C, D, E, F, G, H, I, J, K, L, M)

    Definition Classes
    EuclideanRingProduct13 → EuclideanRing

  15. final def getClass(): java.lang.Class[_]

    Definition Classes
    AnyRef → Any

  16. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  17. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  18. def minus(x: (A, B, C, D, E, F, G, H, I, J, K, L, M), y: (A, B, C, D, E, F, G, H, I, J, K, L, M)): (A, B, C, D, E, F, G, H, I, J, K, L, M)

    Definition Classes
    AdditiveGroup

  19. def mod(x0: (A, B, C, D, E, F, G, H, I, J, K, L, M), x1: (A, B, C, D, E, F, G, H, I, J, K, L, M)): (A, B, C, D, E, F, G, H, I, J, K, L, M)

    Definition Classes
    EuclideanRingProduct13 → EuclideanRing

  20. def multiplicative: Monoid[(A, B, C, D, E, F, G, H, I, J, K, L, M)]

    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

  21. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  22. def negate(x0: (A, B, C, D, E, F, G, H, I, J, K, L, M)): (A, B, C, D, E, F, G, H, I, J, K, L, M)

    Definition Classes
    RngProduct13 → AdditiveGroup

  23. final def notify(): Unit

    Definition Classes
    AnyRef

  24. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  25. def one: (A, B, C, D, E, F, G, H, I, J, K, L, M)

    Definition Classes
    RingProduct13 → MultiplicativeMonoid

  26. def plus(x0: (A, B, C, D, E, F, G, H, I, J, K, L, M), x1: (A, B, C, D, E, F, G, H, I, J, K, L, M)): (A, B, C, D, E, F, G, H, I, J, K, L, M)

    Definition Classes
    SemiringProduct13 → AdditiveSemigroup

  27. def pow(x0: (A, B, C, D, E, F, G, H, I, J, K, L, M), x1: Int): (A, B, C, D, E, F, G, H, I, J, K, L, M)

    Definition Classes
    SemiringProduct13 → Semiring

  28. def quot(x0: (A, B, C, D, E, F, G, H, I, J, K, L, M), x1: (A, B, C, D, E, F, G, H, I, J, K, L, M)): (A, B, C, D, E, F, G, H, I, J, K, L, M)

    Definition Classes
    EuclideanRingProduct13 → EuclideanRing

  29. def quotmod(a: (A, B, C, D, E, F, G, H, I, J, K, L, M), b: (A, B, C, D, E, F, G, H, I, J, K, L, M)): ((A, B, C, D, E, F, G, H, I, J, K, L, M), (A, B, C, D, E, F, G, H, I, J, K, L, M))

    Definition Classes
    EuclideanRing

  30. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef

  31. def times(x0: (A, B, C, D, E, F, G, H, I, J, K, L, M), x1: (A, B, C, D, E, F, G, H, I, J, K, L, M)): (A, B, C, D, E, F, G, H, I, J, K, L, M)

    Definition Classes
    SemiringProduct13 → MultiplicativeSemigroup

  32. def toString(): String

    Definition Classes
    AnyRef → Any

  33. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws()

  34. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws()

  35. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws()

  36. def zero: (A, B, C, D, E, F, G, H, I, J, K, L, M)

    Definition Classes
    RngProduct13 → AdditiveMonoid

Inherited from RingProduct13[A, B, C, D, E, F, G, H, I, J, K, L, M]

Inherited from RngProduct13[A, B, C, D, E, F, G, H, I, J, K, L, M]

Inherited from SemiringProduct13[A, B, C, D, E, F, G, H, I, J, K, L, M]

Inherited from EuclideanRing[(A, B, C, D, E, F, G, H, I, J, K, L, M)]

Inherited from Ring[(A, B, C, D, E, F, G, H, I, J, K, L, M)]

Inherited from Rng[(A, B, C, D, E, F, G, H, I, J, K, L, M)]

Inherited from AdditiveAbGroup[(A, B, C, D, E, F, G, H, I, J, K, L, M)]

Inherited from AdditiveGroup[(A, B, C, D, E, F, G, H, I, J, K, L, M)]

Inherited from Rig[(A, B, C, D, E, F, G, H, I, J, K, L, M)]

Inherited from MultiplicativeMonoid[(A, B, C, D, E, F, G, H, I, J, K, L, M)]

Inherited from AdditiveMonoid[(A, B, C, D, E, F, G, H, I, J, K, L, M)]

Inherited from Semiring[(A, B, C, D, E, F, G, H, I, J, K, L, M)]

Inherited from MultiplicativeSemigroup[(A, B, C, D, E, F, G, H, I, J, K, L, M)]

Inherited from AdditiveSemigroup[(A, B, C, D, E, F, G, H, I, J, K, L, M)]

Inherited from AnyRef

Inherited from Any