spire.std

ShortIsEuclideanRing

trait ShortIsEuclideanRing extends EuclideanRing[Short]

Linear Supertypes
EuclideanRing[Short], GCDRing[Short], CommutativeRing[Short], CommutativeRng[Short], CommutativeRig[Short], MultiplicativeCommutativeMonoid[Short], CommutativeSemiring[Short], MultiplicativeCommutativeSemigroup[Short], Ring[Short], Rng[Short], AdditiveCommutativeGroup[Short], AdditiveGroup[Short], Rig[Short], MultiplicativeMonoid[Short], Semiring[Short], MultiplicativeSemigroup[Short], AdditiveCommutativeMonoid[Short], AdditiveCommutativeSemigroup[Short], AdditiveMonoid[Short], AdditiveSemigroup[Short], Serializable, Serializable, AnyRef, Any
Known Subclasses
ShortAlgebra
Ordering
  1. Alphabetic
  2. By inheritance
Inherited
  1. ShortIsEuclideanRing
  2. EuclideanRing
  3. GCDRing
  4. CommutativeRing
  5. CommutativeRng
  6. CommutativeRig
  7. MultiplicativeCommutativeMonoid
  8. CommutativeSemiring
  9. MultiplicativeCommutativeSemigroup
  10. Ring
  11. Rng
  12. AdditiveCommutativeGroup
  13. AdditiveGroup
  14. Rig
  15. MultiplicativeMonoid
  16. Semiring
  17. MultiplicativeSemigroup
  18. AdditiveCommutativeMonoid
  19. AdditiveCommutativeSemigroup
  20. AdditiveMonoid
  21. AdditiveSemigroup
  22. Serializable
  23. Serializable
  24. AnyRef
  25. 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. def additive: CommutativeGroup[Short]

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

  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 eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  10. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any

  11. def euclideanFunction(a: Short): BigInt

    Definition Classes
    ShortIsEuclideanRing → EuclideanRing

  12. def finalize(): Unit

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

  13. def fromBigInt(n: BigInt): Short

    Definition Classes
    Ring

  14. def fromInt(n: Int): Short

    Definition Classes
    ShortIsEuclideanRing → Ring

  15. def gcd(a: Short, b: Short): Short

  16. def gcd(a: Short, b: Short)(implicit ev: Eq[Short]): Short

    Definition Classes
    EuclideanRing → GCDRing

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

    Definition Classes
    AnyRef → Any

  18. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  19. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  20. def isOne(a: Short)(implicit ev: Eq[Short]): Boolean

    Definition Classes
    MultiplicativeMonoid

  21. def isZero(a: Short)(implicit ev: Eq[Short]): Boolean

    Definition Classes
    AdditiveMonoid

  22. def lcm(a: Short, b: Short)(implicit ev: Eq[Short]): Short

    Definition Classes
    EuclideanRing → GCDRing

  23. def minus(a: Short, b: Short): Short

    Definition Classes
    ShortIsEuclideanRing → AdditiveGroup

  24. def mod(a: Short, b: Short): Short

    Definition Classes
    ShortIsEuclideanRing → EuclideanRing

  25. def multiplicative: CommutativeMonoid[Short]

    Definition Classes
    MultiplicativeCommutativeMonoid → MultiplicativeCommutativeSemigroup → MultiplicativeMonoid → MultiplicativeSemigroup

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

    Definition Classes
    AnyRef

  27. def negate(a: Short): Short

    Definition Classes
    ShortIsEuclideanRing → AdditiveGroup

  28. final def notify(): Unit

    Definition Classes
    AnyRef

  29. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  30. def one: Short

    Definition Classes
    ShortIsEuclideanRing → MultiplicativeMonoid

  31. def plus(a: Short, b: Short): Short

    Definition Classes
    ShortIsEuclideanRing → AdditiveSemigroup

  32. def positivePow(a: Short, n: Int): Short

    Attributes
    protected[this]
    Definition Classes
    MultiplicativeSemigroup

  33. def positiveSumN(a: Short, n: Int): Short

    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup

  34. def pow(a: Short, b: Int): Short

    Definition Classes
    ShortIsEuclideanRing → MultiplicativeMonoid → MultiplicativeSemigroup

  35. def product(as: TraversableOnce[Short]): Short

    Definition Classes
    MultiplicativeMonoid

  36. def quot(a: Short, b: Short): Short

    Definition Classes
    ShortIsEuclideanRing → EuclideanRing

  37. def quotmod(a: Short, b: Short): (Short, Short)

    Definition Classes
    EuclideanRing

  38. def sum(as: TraversableOnce[Short]): Short

    Definition Classes
    AdditiveMonoid

  39. def sumN(a: Short, n: Int): Short

    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

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

    Definition Classes
    AnyRef

  41. def times(a: Short, b: Short): Short

    Definition Classes
    ShortIsEuclideanRing → MultiplicativeSemigroup

  42. def toString(): String

    Definition Classes
    AnyRef → Any

  43. def tryProduct(as: TraversableOnce[Short]): Option[Short]

    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

  44. def trySum(as: TraversableOnce[Short]): Option[Short]

    Definition Classes
    AdditiveMonoid → AdditiveSemigroup

  45. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  48. def zero: Short

    Definition Classes
    ShortIsEuclideanRing → AdditiveMonoid

Inherited from EuclideanRing[Short]

Inherited from GCDRing[Short]

Inherited from CommutativeRing[Short]

Inherited from CommutativeRng[Short]

Inherited from CommutativeRig[Short]

Inherited from MultiplicativeCommutativeMonoid[Short]

Inherited from CommutativeSemiring[Short]

Inherited from MultiplicativeCommutativeSemigroup[Short]

Inherited from Ring[Short]

Inherited from Rng[Short]

Inherited from AdditiveCommutativeGroup[Short]

Inherited from AdditiveGroup[Short]

Inherited from Rig[Short]

Inherited from MultiplicativeMonoid[Short]

Inherited from Semiring[Short]

Inherited from MultiplicativeSemigroup[Short]

Inherited from AdditiveCommutativeMonoid[Short]

Inherited from AdditiveCommutativeSemigroup[Short]

Inherited from AdditiveMonoid[Short]

Inherited from AdditiveSemigroup[Short]

Inherited from Serializable

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

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