algebra.ring

FieldFunctions

trait FieldFunctions[F[T] <: Field[T]] extends RingFunctions[F] with MultiplicativeGroupFunctions[F]

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Inherited
  1. FieldFunctions
  2. MultiplicativeGroupFunctions
  3. RingFunctions
  4. MultiplicativeMonoidFunctions
  5. MultiplicativeSemigroupFunctions
  6. AdditiveGroupFunctions
  7. AdditiveMonoidFunctions
  8. AdditiveSemigroupFunctions
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  10. Any
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  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. final def asInstanceOf[T0]: T0

    Definition Classes
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  7. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  8. final def defaultFromBigInt[A](n: BigInt)(implicit ev: F[A]): A

    Definition Classes
    RingFunctions
  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.

    Definition Classes
    RingFunctions
  10. def div[A](x: A, y: A)(implicit ev: F[A]): A

    Definition Classes
    MultiplicativeGroupFunctions
  11. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  12. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any
  13. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  14. def fromBigInt[A](n: BigInt)(implicit ev: F[A]): A

    Definition Classes
    RingFunctions
  15. def fromDouble[A](n: Double)(implicit ev: F[A]): A

  16. def fromInt[A](n: Int)(implicit ev: F[A]): A

    Definition Classes
    RingFunctions
  17. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any
  18. def hashCode(): Int

    Definition Classes
    AnyRef → Any
  19. def isAdditiveCommutative[A](implicit ev: F[A]): Boolean

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

    Definition Classes
    Any
  21. def isMultiplicativeCommutative[A](implicit ev: F[A]): Boolean

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

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

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

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

    Definition Classes
    AnyRef
  26. def negate[A](x: A)(implicit ev: F[A]): A

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

    Definition Classes
    AnyRef
  28. final def notifyAll(): Unit

    Definition Classes
    AnyRef
  29. def one[A](implicit ev: F[A]): A

  30. def plus[A](x: A, y: A)(implicit ev: F[A]): A

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

  32. def product[A](as: TraversableOnce[A])(implicit ev: F[A]): A

  33. def reciprocal[A](x: A)(implicit ev: F[A]): A

    Definition Classes
    MultiplicativeGroupFunctions
  34. def sum[A](as: TraversableOnce[A])(implicit ev: F[A]): A

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

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

    Definition Classes
    AnyRef
  37. def times[A](x: A, y: A)(implicit ev: F[A]): A

  38. def toString(): String

    Definition Classes
    AnyRef → Any
  39. def tryProduct[A](as: TraversableOnce[A])(implicit ev: F[A]): Option[A]

  40. def trySum[A](as: TraversableOnce[A])(implicit ev: F[A]): Option[A]

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  42. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  43. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  44. def zero[A](implicit ev: F[A]): A

    Definition Classes
    AdditiveMonoidFunctions

Inherited from MultiplicativeGroupFunctions[F]

Inherited from RingFunctions[F]

Inherited from MultiplicativeMonoidFunctions[F]

Inherited from AdditiveGroupFunctions[F]

Inherited from AdditiveMonoidFunctions[F]

Inherited from AdditiveSemigroupFunctions[F]

Inherited from AnyRef

Inherited from Any

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