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Tuple21Ring

class Tuple21Ring[A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U] extends Tuple21Group[A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U] with Ring[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Combine 21 rings into a product ring

Linear Supertypes
Ring[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], algebra.ring.Ring[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], Rng[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], AdditiveCommutativeGroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], Rig[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], MultiplicativeMonoid[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], Semiring[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], MultiplicativeSemigroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], AdditiveCommutativeMonoid[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], AdditiveCommutativeSemigroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], CommutativeGroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], CommutativeMonoid[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], CommutativeSemigroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], Tuple21Group[A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U], Group[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], AdditiveGroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], cats.kernel.Group[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], Tuple21Monoid[A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U], Monoid[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], AdditiveMonoid[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], cats.kernel.Monoid[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], Tuple21Semigroup[A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U], Semigroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], AdditiveSemigroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], cats.kernel.Semigroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)], Serializable, Serializable, AnyRef, Any
Ordering
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Inherited
  1. Tuple21Ring
  2. Ring
  3. Ring
  4. Rng
  5. AdditiveCommutativeGroup
  6. Rig
  7. MultiplicativeMonoid
  8. Semiring
  9. MultiplicativeSemigroup
  10. AdditiveCommutativeMonoid
  11. AdditiveCommutativeSemigroup
  12. CommutativeGroup
  13. CommutativeMonoid
  14. CommutativeSemigroup
  15. Tuple21Group
  16. Group
  17. AdditiveGroup
  18. Group
  19. Tuple21Monoid
  20. Monoid
  21. AdditiveMonoid
  22. Monoid
  23. Tuple21Semigroup
  24. Semigroup
  25. AdditiveSemigroup
  26. Semigroup
  27. Serializable
  28. Serializable
  29. AnyRef
  30. Any
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Visibility
  1. Public
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Instance Constructors

  1. new Tuple21Ring()(implicit aring: Ring[A], bring: Ring[B], cring: Ring[C], dring: Ring[D], ering: Ring[E], fring: Ring[F], gring: Ring[G], hring: Ring[H], iring: Ring[I], jring: Ring[J], kring: Ring[K], lring: Ring[L], mring: Ring[M], nring: Ring[N], oring: Ring[O], pring: Ring[P], qring: Ring[Q], rring: Ring[R], sring: Ring[S], tring: Ring[T], uring: Ring[U])

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: CommutativeGroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

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

  7. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  8. def assertNotZero(v: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)): Unit

    Definition Classes
    Monoid

  9. def clone(): AnyRef

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

  10. def combine(l: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U), r: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Definition Classes
    Semigroup → Semigroup

  11. def combineAll(t: TraversableOnce[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Definition Classes
    Monoid → Monoid

  12. def combineAllOption(as: TraversableOnce[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]): Option[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

    Definition Classes
    Monoid → Semigroup

  13. def combineN(a: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U), n: Int): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Definition Classes
    Group → Monoid → Semigroup

  14. def empty: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Definition Classes
    Monoid → Monoid

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

    Definition Classes
    AnyRef

  16. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any

  17. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )

  18. def fromBigInt(n: BigInt): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Definition Classes
    Ring

  19. def fromInt(n: Int): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Definition Classes
    Ring

  20. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any

  21. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  22. def inverse(v: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Definition Classes
    Group → Group

  23. def isEmpty(a: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U))(implicit ev: Eq[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]): Boolean

    Definition Classes
    Monoid

  24. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  25. def isNonZero(v: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)): Boolean

    Definition Classes
    Monoid

  26. def isOne(a: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U))(implicit ev: Eq[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]): Boolean

    Definition Classes
    MultiplicativeMonoid

  27. def isZero(a: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U))(implicit ev: Eq[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]): Boolean

    Definition Classes
    AdditiveMonoid

  28. def minus(l: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U), r: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Definition Classes
    Tuple21Group → AdditiveGroup

  29. def multiplicative: algebra.Monoid[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

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

    Definition Classes
    AnyRef

  31. def negate(v: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Definition Classes
    Tuple21Group → AdditiveGroup

  32. def nonZeroOption(v: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)): Option[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

    Definition Classes
    Monoid

  33. final def notify(): Unit

    Definition Classes
    AnyRef

  34. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  35. def one: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Definition Classes
    Tuple21Ring → Ring → MultiplicativeMonoid

  36. def plus(l: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U), r: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Definition Classes
    Tuple21Semigroup → AdditiveSemigroup

  37. def positivePow(a: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U), n: Int): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Attributes
    protected[this]
    Definition Classes
    MultiplicativeSemigroup

  38. def positiveSumN(a: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U), n: Int): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup

  39. def pow(a: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U), n: Int): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

  40. def product(iter: TraversableOnce[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Definition Classes
    Ring → MultiplicativeMonoid

  41. def remove(l: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U), r: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Definition Classes
    Group → Group

  42. def repeatedCombineN(a: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U), n: Int): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Attributes
    protected[this]
    Definition Classes
    Semigroup

  43. def sum(vs: TraversableOnce[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Definition Classes
    Monoid → AdditiveMonoid

  44. def sumN(a: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U), n: Int): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  45. def sumOption(to: TraversableOnce[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]): Option[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

    Returns an instance of T calculated by summing all instances in iter in one pass.

    Returns an instance of T calculated by summing all instances in iter in one pass. Returns None if iter is empty, else Some[T].

    returns

    None if iter is empty, else an option value containing the summed T

    Definition Classes
    Tuple21Semigroup → Semigroup
    Note

    Override if there is a faster way to compute this sum than iter.reduceLeftOption using plus.

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

    Definition Classes
    AnyRef

  47. def times(l: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U), r: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)): (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Definition Classes
    Tuple21Ring → Ring → MultiplicativeSemigroup

  48. def toString(): String

    Definition Classes
    AnyRef → Any

  49. def tryProduct(as: TraversableOnce[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]): Option[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

  50. def trySum(as: TraversableOnce[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]): Option[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

    Definition Classes
    AdditiveMonoid → AdditiveSemigroup

  51. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  54. def zero: (A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)

    Definition Classes
    Tuple21Monoid → AdditiveMonoid

Inherited from Ring[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from algebra.ring.Ring[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from Rng[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from AdditiveCommutativeGroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from Rig[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from MultiplicativeMonoid[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from Semiring[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from MultiplicativeSemigroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from AdditiveCommutativeMonoid[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from AdditiveCommutativeSemigroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from CommutativeGroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from CommutativeMonoid[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from CommutativeSemigroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from Tuple21Group[A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U]

Inherited from Group[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from AdditiveGroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from cats.kernel.Group[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from Tuple21Monoid[A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U]

Inherited from Monoid[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from AdditiveMonoid[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from cats.kernel.Monoid[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from Tuple21Semigroup[A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U]

Inherited from Semigroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from AdditiveSemigroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from cats.kernel.Semigroup[(A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U)]

Inherited from Serializable

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

Ungrouped