algebra.ring

RingFunctions

trait RingFunctions[R[T] <: Ring[T]] extends AdditiveGroupFunctions[R] with MultiplicativeMonoidFunctions[R]

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  1. RingFunctions
  2. MultiplicativeMonoidFunctions
  3. MultiplicativeSemigroupFunctions
  4. AdditiveGroupFunctions
  5. AdditiveMonoidFunctions
  6. AdditiveSemigroupFunctions
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  1. final def !=(arg0: AnyRef): Boolean

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

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  3. final def ##(): Int

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

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

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  6. final def asInstanceOf[T0]: T0

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  7. def clone(): AnyRef

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    protected[java.lang]
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    @throws( ... )
  8. final def defaultFromBigInt[A](n: BigInt)(implicit ev: R[A]): A

  9. final def defaultFromDouble[A](a: Double)(implicit ringA: Ring[A], mgA: MultiplicativeGroup[A]): A

    Returns the given Double, understood as a rational number, in the provided (division) ring.

    Returns the given Double, understood as a rational number, in the provided (division) ring.

    This is implemented in terms of basic ops. However, this is probably significantly less efficient than can be done with a specific type. So, it is recommended to specialize this general method.

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

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  11. def equals(arg0: Any): Boolean

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  12. def finalize(): Unit

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    protected[java.lang]
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    @throws( classOf[java.lang.Throwable] )
  13. def fromBigInt[A](n: BigInt)(implicit ev: R[A]): A

  14. def fromInt[A](n: Int)(implicit ev: R[A]): A

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

    Definition Classes
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  16. def hashCode(): Int

    Definition Classes
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  17. def isAdditiveCommutative[A](implicit ev: R[A]): Boolean

    Definition Classes
    AdditiveSemigroupFunctions
  18. final def isInstanceOf[T0]: Boolean

    Definition Classes
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  19. def isMultiplicativeCommutative[A](implicit ev: R[A]): Boolean

  20. def isOne[A](a: A)(implicit ev0: R[A], ev1: Eq[A]): Boolean

  21. def isZero[A](a: A)(implicit ev0: R[A], ev1: Eq[A]): Boolean

    Definition Classes
    AdditiveMonoidFunctions
  22. def minus[A](x: A, y: A)(implicit ev: R[A]): A

    Definition Classes
    AdditiveGroupFunctions
  23. final def ne(arg0: AnyRef): Boolean

    Definition Classes
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  24. def negate[A](x: A)(implicit ev: R[A]): A

    Definition Classes
    AdditiveGroupFunctions
  25. final def notify(): Unit

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  26. final def notifyAll(): Unit

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  27. def one[A](implicit ev: R[A]): A

  28. def plus[A](x: A, y: A)(implicit ev: R[A]): A

    Definition Classes
    AdditiveSemigroupFunctions
  29. def pow[A](a: A, n: Int)(implicit ev: R[A]): A

  30. def product[A](as: TraversableOnce[A])(implicit ev: R[A]): A

  31. def sum[A](as: TraversableOnce[A])(implicit ev: R[A]): A

    Definition Classes
    AdditiveMonoidFunctions
  32. def sumN[A](a: A, n: Int)(implicit ev: R[A]): A

    Definition Classes
    AdditiveSemigroupFunctions
  33. final def synchronized[T0](arg0: ⇒ T0): T0

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  34. def times[A](x: A, y: A)(implicit ev: R[A]): A

  35. def toString(): String

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  36. def tryProduct[A](as: TraversableOnce[A])(implicit ev: R[A]): Option[A]

  37. def trySum[A](as: TraversableOnce[A])(implicit ev: R[A]): Option[A]

    Definition Classes
    AdditiveSemigroupFunctions
  38. final def wait(): Unit

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    @throws( ... )
  39. final def wait(arg0: Long, arg1: Int): Unit

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

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    @throws( ... )
  41. def zero[A](implicit ev: R[A]): A

    Definition Classes
    AdditiveMonoidFunctions

Inherited from MultiplicativeMonoidFunctions[R]

Inherited from AdditiveGroupFunctions[R]

Inherited from AdditiveMonoidFunctions[R]

Inherited from AdditiveSemigroupFunctions[R]

Inherited from AnyRef

Inherited from Any

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