algebra.ring

Field

object Field extends FieldFunctions[Field] with Serializable

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  1. Field
  2. Serializable
  3. Serializable
  4. FieldFunctions
  5. MultiplicativeGroupFunctions
  6. RingFunctions
  7. MultiplicativeMonoidFunctions
  8. MultiplicativeSemigroupFunctions
  9. AdditiveGroupFunctions
  10. AdditiveMonoidFunctions
  11. AdditiveSemigroupFunctions
  12. AnyRef
  13. Any
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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. final def apply[A](implicit ev: Field[A]): Field[A]

    Annotations
    @inline()
  7. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  8. def clone(): AnyRef

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

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

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

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

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

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

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

    Definition Classes
    FieldFunctions
  17. def fromInt[A](n: Int)(implicit ev: Field[A]): A

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

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

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

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

    Definition Classes
    Any
  22. def isMultiplicativeCommutative[A](implicit ev: Field[A]): Boolean

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

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

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

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

    Definition Classes
    AnyRef
  27. def negate[A](x: A)(implicit ev: Field[A]): A

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

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

    Definition Classes
    AnyRef
  30. def one[A](implicit ev: Field[A]): A

  31. def plus[A](x: A, y: A)(implicit ev: Field[A]): A

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

  33. def product[A](as: TraversableOnce[A])(implicit ev: Field[A]): A

  34. def reciprocal[A](x: A)(implicit ev: Field[A]): A

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

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

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

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

  39. def toString(): String

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

  41. def trySum[A](as: TraversableOnce[A])(implicit ev: Field[A]): Option[A]

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

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

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

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

    Definition Classes
    AdditiveMonoidFunctions

Inherited from Serializable

Inherited from Serializable

Inherited from FieldFunctions[Field]

Inherited from RingFunctions[Field]

Inherited from AdditiveGroupFunctions[Field]

Inherited from AdditiveMonoidFunctions[Field]

Inherited from AnyRef

Inherited from Any

Ungrouped