spire.std

ShortIsEuclideanRing

Related Doc: package std

trait ShortIsEuclideanRing extends EuclideanRing[Short]

Linear Supertypes
EuclideanRing[Short], CRing[Short], MultiplicativeCMonoid[Short], MultiplicativeCSemigroup[Short], Ring[Short], Rng[Short], AdditiveAbGroup[Short], AdditiveCMonoid[Short], AdditiveCSemigroup[Short], AdditiveGroup[Short], Rig[Short], MultiplicativeMonoid[Short], Semiring[Short], MultiplicativeSemigroup[Short], AdditiveMonoid[Short], AdditiveSemigroup[Short], AnyRef, Any
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Inherited
  1. ShortIsEuclideanRing
  2. EuclideanRing
  3. CRing
  4. MultiplicativeCMonoid
  5. MultiplicativeCSemigroup
  6. Ring
  7. Rng
  8. AdditiveAbGroup
  9. AdditiveCMonoid
  10. AdditiveCSemigroup
  11. AdditiveGroup
  12. Rig
  13. MultiplicativeMonoid
  14. Semiring
  15. MultiplicativeSemigroup
  16. AdditiveMonoid
  17. AdditiveSemigroup
  18. AnyRef
  19. Any
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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. def additive: AbGroup[Short]

  5. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  6. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  7. final def eq(arg0: AnyRef): Boolean

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

    Definition Classes
    AnyRef → Any
  9. final def euclid(a: Short, b: Short)(implicit eq: Eq[Short]): Short

    Attributes
    protected[this]
    Definition Classes
    EuclideanRing
    Annotations
    @tailrec()
  10. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  11. def fromInt(n: Int): Short

    Defined to be equivalent to additive.sumn(one, n).

    Defined to be equivalent to additive.sumn(one, n). That is, n repeated summations of this ring's one, or -one if n is negative.

    Definition Classes
    ShortIsEuclideanRingRing
  12. def gcd(a: Short, b: Short): Short

    Definition Classes
    ShortIsEuclideanRingEuclideanRing
  13. final def getClass(): Class[_]

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

    Definition Classes
    AnyRef → Any
  15. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  16. def isOne(a: Short)(implicit ev: Eq[Short]): Boolean

    Definition Classes
    MultiplicativeMonoid
  17. def isZero(a: Short)(implicit ev: Eq[Short]): Boolean

    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid
  18. def lcm(a: Short, b: Short): Short

    Definition Classes
    EuclideanRing
  19. def minus(a: Short, b: Short): Short

    Definition Classes
    ShortIsEuclideanRingAdditiveGroup
  20. def mod(a: Short, b: Short): Short

    Definition Classes
    ShortIsEuclideanRingEuclideanRing
  21. def multiplicative: CMonoid[Short]

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

    Definition Classes
    AnyRef
  23. def negate(a: Short): Short

    Definition Classes
    ShortIsEuclideanRingAdditiveGroup
  24. final def notify(): Unit

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

    Definition Classes
    AnyRef
  26. def one: Short

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

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

    This is similar to Semigroup#pow, except that a pow 0 is defined to be the multiplicative identity.

    This is similar to Semigroup#pow, except that a pow 0 is defined to be the multiplicative identity.

    Definition Classes
    ShortIsEuclideanRingRigSemiring
  29. def prod(as: TraversableOnce[Short]): Short

    Given a sequence of as, sum them using the monoid and return the total.

    Given a sequence of as, sum them using the monoid and return the total.

    Definition Classes
    MultiplicativeMonoid
  30. def prodOption(as: TraversableOnce[Short]): Option[Short]

    Given a sequence of as, sum them using the semigroup and return the total.

    Given a sequence of as, sum them using the semigroup and return the total.

    If the sequence is empty, returns None. Otherwise, returns Some(total).

    Definition Classes
    MultiplicativeSemigroup
  31. def prodn(a: Short, n: Int): Short

    Return a multiplied with itself n times.

    Return a multiplied with itself n times.

    Definition Classes
    MultiplicativeMonoidMultiplicativeSemigroup
  32. def prodnAboveOne(a: Short, n: Int): Short

    Attributes
    protected
    Definition Classes
    MultiplicativeSemigroup
  33. def quot(a: Short, b: Short): Short

    Definition Classes
    ShortIsEuclideanRingEuclideanRing
  34. def quotmod(a: Short, b: Short): (Short, Short)

    Definition Classes
    EuclideanRing
  35. def sum(as: TraversableOnce[Short]): Short

    Given a sequence of as, sum them using the monoid and return the total.

    Given a sequence of as, sum them using the monoid and return the total.

    Definition Classes
    AdditiveMonoid
  36. def sumOption(as: TraversableOnce[Short]): Option[Short]

    Given a sequence of as, sum them using the semigroup and return the total.

    Given a sequence of as, sum them using the semigroup and return the total.

    If the sequence is empty, returns None. Otherwise, returns Some(total).

    Definition Classes
    AdditiveSemigroup
  37. def sumn(a: Short, n: Int): Short

    Return a added with itself n times.

    Return a added with itself n times.

    Definition Classes
    AdditiveGroupAdditiveMonoidAdditiveSemigroup
  38. def sumnAboveOne(a: Short, n: Int): Short

    Attributes
    protected
    Definition Classes
    AdditiveSemigroup
  39. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  40. def times(a: Short, b: Short): Short

  41. def toString(): String

    Definition Classes
    AnyRef → Any
  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: Short

    Definition Classes
    ShortIsEuclideanRingAdditiveMonoid

Inherited from EuclideanRing[Short]

Inherited from CRing[Short]

Inherited from MultiplicativeCMonoid[Short]

Inherited from MultiplicativeCSemigroup[Short]

Inherited from Ring[Short]

Inherited from Rng[Short]

Inherited from AdditiveAbGroup[Short]

Inherited from AdditiveCMonoid[Short]

Inherited from AdditiveCSemigroup[Short]

Inherited from AdditiveGroup[Short]

Inherited from Rig[Short]

Inherited from MultiplicativeMonoid[Short]

Inherited from Semiring[Short]

Inherited from MultiplicativeSemigroup[Short]

Inherited from AdditiveMonoid[Short]

Inherited from AdditiveSemigroup[Short]

Inherited from AnyRef

Inherited from Any

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