t

algebra.ring

EuclideanRingFunctions

trait EuclideanRingFunctions[R[T] <: EuclideanRing[T]] extends GCDRingFunctions[R]

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Inherited
  1. EuclideanRingFunctions
  2. GCDRingFunctions
  3. RingFunctions
  4. MultiplicativeMonoidFunctions
  5. MultiplicativeSemigroupFunctions
  6. AdditiveGroupFunctions
  7. AdditiveMonoidFunctions
  8. AdditiveSemigroupFunctions
  9. AnyRef
  10. Any
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Visibility
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Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##: Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  5. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native()
  6. final def defaultFromBigInt[A](n: BigInt)(implicit ev: R[A]): A
    Definition Classes
    RingFunctions
  7. 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
  8. def emod[A](a: A, b: A)(implicit ev: R[A]): A
  9. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  10. def equals(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef → Any
  11. def equot[A](a: A, b: A)(implicit ev: R[A]): A
  12. def equotmod[A](a: A, b: A)(implicit ev: R[A]): (A, A)
  13. def euclideanFunction[A](a: A)(implicit ev: R[A]): BigInt
  14. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.Throwable])
  15. def fromBigInt[A](n: BigInt)(implicit ev: R[A]): A
    Definition Classes
    RingFunctions
  16. def fromInt[A](n: Int)(implicit ev: R[A]): A
    Definition Classes
    RingFunctions
  17. def gcd[A](a: A, b: A)(implicit ev: R[A], eqA: Eq[A]): A
    Definition Classes
    GCDRingFunctions
  18. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  19. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  20. def isAdditiveCommutative[A](implicit ev: R[A]): Boolean
    Definition Classes
    AdditiveSemigroupFunctions
  21. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  22. def isMultiplicativeCommutative[A](implicit ev: R[A]): Boolean
  23. def isOne[A](a: A)(implicit ev0: R[A], ev1: Eq[A]): Boolean
  24. def isZero[A](a: A)(implicit ev0: R[A], ev1: Eq[A]): Boolean
    Definition Classes
    AdditiveMonoidFunctions
  25. def lcm[A](a: A, b: A)(implicit ev: R[A], eqA: Eq[A]): A
    Definition Classes
    GCDRingFunctions
  26. def minus[A](x: A, y: A)(implicit ev: R[A]): A
    Definition Classes
    AdditiveGroupFunctions
  27. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  28. def negate[A](x: A)(implicit ev: R[A]): A
    Definition Classes
    AdditiveGroupFunctions
  29. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  30. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  31. def one[A](implicit ev: R[A]): A
  32. def plus[A](x: A, y: A)(implicit ev: R[A]): A
    Definition Classes
    AdditiveSemigroupFunctions
  33. def pow[A](a: A, n: Int)(implicit ev: R[A]): A
  34. def product[A](as: TraversableOnce[A])(implicit ev: R[A]): A
    Definition Classes
    MultiplicativeMonoidFunctions
    Annotations
    @nowarn()
  35. def sum[A](as: TraversableOnce[A])(implicit ev: R[A]): A
    Definition Classes
    AdditiveMonoidFunctions
    Annotations
    @nowarn()
  36. def sumN[A](a: A, n: Int)(implicit ev: R[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: R[A]): A
  39. def toString(): String
    Definition Classes
    AnyRef → Any
  40. def tryProduct[A](as: TraversableOnce[A])(implicit ev: R[A]): Option[A]
    Definition Classes
    MultiplicativeSemigroupFunctions
    Annotations
    @nowarn()
  41. def trySum[A](as: TraversableOnce[A])(implicit ev: R[A]): Option[A]
    Definition Classes
    AdditiveSemigroupFunctions
    Annotations
    @nowarn()
  42. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  43. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  44. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  45. def zero[A](implicit ev: R[A]): A
    Definition Classes
    AdditiveMonoidFunctions

Inherited from GCDRingFunctions[R]

Inherited from RingFunctions[R]

Inherited from AdditiveGroupFunctions[R]

Inherited from AdditiveMonoidFunctions[R]

Inherited from AdditiveSemigroupFunctions[R]

Inherited from AnyRef

Inherited from Any

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