spire.std

IntIsEuclideanRing

trait IntIsEuclideanRing extends EuclideanRing[Int]

Linear Supertypes
EuclideanRing[Int], CRing[Int], MultiplicativeCMonoid[Int], MultiplicativeCSemigroup[Int], Ring[Int], Rng[Int], AdditiveAbGroup[Int], AdditiveCMonoid[Int], AdditiveCSemigroup[Int], AdditiveGroup[Int], Rig[Int], MultiplicativeMonoid[Int], Semiring[Int], MultiplicativeSemigroup[Int], AdditiveMonoid[Int], AdditiveSemigroup[Int], AnyRef, Any
Known Subclasses
IntAlgebra
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Inherited
  1. IntIsEuclideanRing
  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: 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: AbGroup[Int]

    Definition Classes
    AdditiveAbGroup → AdditiveCMonoid → AdditiveCSemigroup → 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. final def euclid(a: Int, b: Int)(implicit eq: Eq[Int]): Int

    Attributes
    protected[this]
    Definition Classes
    EuclideanRing
    Annotations
    @tailrec()

  12. def finalize(): Unit

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

  13. def fromInt(n: Int): Int

    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
    IntIsEuclideanRing → Ring

  14. def gcd(a: Int, b: Int): Int

    Definition Classes
    IntIsEuclideanRing → EuclideanRing

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

    Definition Classes
    AnyRef → Any

  16. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  17. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  18. def lcm(a: Int, b: Int): Int

    Definition Classes
    EuclideanRing

  19. def minus(a: Int, b: Int): Int

    Definition Classes
    IntIsEuclideanRing → AdditiveGroup

  20. def mod(a: Int, b: Int): Int

    Definition Classes
    IntIsEuclideanRing → EuclideanRing

  21. def multiplicative: CMonoid[Int]

    Definition Classes
    MultiplicativeCMonoid → MultiplicativeCSemigroup → MultiplicativeMonoid → MultiplicativeSemigroup

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

    Definition Classes
    AnyRef

  23. def negate(a: Int): Int

    Definition Classes
    IntIsEuclideanRing → AdditiveGroup

  24. final def notify(): Unit

    Definition Classes
    AnyRef

  25. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  26. def one: Int

    Definition Classes
    IntIsEuclideanRing → MultiplicativeMonoid

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

    Definition Classes
    IntIsEuclideanRing → AdditiveSemigroup

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

    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
    IntIsEuclideanRing → Rig → Semiring

  29. def quot(a: Int, b: Int): Int

    Definition Classes
    IntIsEuclideanRing → EuclideanRing

  30. def quotmod(a: Int, b: Int): (Int, Int)

    Definition Classes
    EuclideanRing

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

    Definition Classes
    AnyRef

  32. def times(a: Int, b: Int): Int

    Definition Classes
    IntIsEuclideanRing → MultiplicativeSemigroup

  33. def toString(): String

    Definition Classes
    AnyRef → Any

  34. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  37. def zero: Int

    Definition Classes
    IntIsEuclideanRing → AdditiveMonoid

Inherited from EuclideanRing[Int]

Inherited from CRing[Int]

Inherited from MultiplicativeCMonoid[Int]

Inherited from MultiplicativeCSemigroup[Int]

Inherited from Ring[Int]

Inherited from Rng[Int]

Inherited from AdditiveAbGroup[Int]

Inherited from AdditiveCMonoid[Int]

Inherited from AdditiveCSemigroup[Int]

Inherited from AdditiveGroup[Int]

Inherited from Rig[Int]

Inherited from MultiplicativeMonoid[Int]

Inherited from Semiring[Int]

Inherited from MultiplicativeSemigroup[Int]

Inherited from AdditiveMonoid[Int]

Inherited from AdditiveSemigroup[Int]

Inherited from AnyRef

Inherited from Any

Ungrouped