spire.algebra

EuclideanRing

trait EuclideanRing[A] extends CRing[A]

Linear Supertypes
CRing[A], MultiplicativeCMonoid[A], MultiplicativeCSemigroup[A], Ring[A], Rng[A], AdditiveAbGroup[A], AdditiveCMonoid[A], AdditiveCSemigroup[A], AdditiveGroup[A], Rig[A], MultiplicativeMonoid[A], Semiring[A], MultiplicativeSemigroup[A], AdditiveMonoid[A], AdditiveSemigroup[A], AnyRef, Any
Known Subclasses
BigDecimalAlgebra, BigDecimalIsField, BigIntAlgebra, BigIntIsEuclideanRing, ByteAlgebra, ByteIsEuclideanRing, DistEuclideanRing, DistField, DoubleAlgebra, DoubleIsField, Field, FloatAlgebra, FloatIsField, Fractional, IntAlgebra, IntIsEuclideanRing, Integral, LongAlgebra, LongIsEuclideanRing, PolynomialEuclideanRing, RealIsFractional, ShortAlgebra, ShortIsEuclideanRing
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  2. By inheritance
Inherited
  1. EuclideanRing
  2. CRing
  3. MultiplicativeCMonoid
  4. MultiplicativeCSemigroup
  5. Ring
  6. Rng
  7. AdditiveAbGroup
  8. AdditiveCMonoid
  9. AdditiveCSemigroup
  10. AdditiveGroup
  11. Rig
  12. MultiplicativeMonoid
  13. Semiring
  14. MultiplicativeSemigroup
  15. AdditiveMonoid
  16. AdditiveSemigroup
  17. AnyRef
  18. Any
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Visibility
  1. Public
  2. All

Abstract Value Members

  1. abstract def gcd(a: A, b: A): A

  2. abstract def mod(a: A, b: A): A

  3. abstract def negate(x: A): A

    Definition Classes
    AdditiveGroup

  4. abstract def one: A

    Definition Classes
    MultiplicativeMonoid

  5. abstract def plus(x: A, y: A): A

    Definition Classes
    AdditiveSemigroup

  6. abstract def quot(a: A, b: A): A

  7. abstract def times(x: A, y: A): A

    Definition Classes
    MultiplicativeSemigroup

  8. abstract def zero: A

    Definition Classes
    AdditiveMonoid

Concrete 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[A]

    Definition Classes
    AdditiveAbGroup → AdditiveCMonoid → AdditiveCSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  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: A, b: A)(implicit eq: Eq[A]): A

    Attributes
    protected[this]
    Annotations
    @tailrec()

  10. def finalize(): Unit

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

  11. def fromInt(n: Int): A

    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
    Ring

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

    Definition Classes
    AnyRef → Any

  13. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  14. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  15. def lcm(a: A, b: A): A

  16. def minus(x: A, y: A): A

    Definition Classes
    AdditiveGroup

  17. def multiplicative: CMonoid[A]

    Definition Classes
    MultiplicativeCMonoid → MultiplicativeCSemigroup → MultiplicativeMonoid → MultiplicativeSemigroup

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

    Definition Classes
    AnyRef

  19. final def notify(): Unit

    Definition Classes
    AnyRef

  20. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  21. def pow(a: A, n: Int): A

    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
    Rig → Semiring

  22. def quotmod(a: A, b: A): (A, A)

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

    Definition Classes
    AnyRef

  24. def toString(): String

    Definition Classes
    AnyRef → Any

  25. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from CRing[A]

Inherited from MultiplicativeCMonoid[A]

Inherited from MultiplicativeCSemigroup[A]

Inherited from Ring[A]

Inherited from Rng[A]

Inherited from AdditiveAbGroup[A]

Inherited from AdditiveCMonoid[A]

Inherited from AdditiveCSemigroup[A]

Inherited from AdditiveGroup[A]

Inherited from Rig[A]

Inherited from MultiplicativeMonoid[A]

Inherited from Semiring[A]

Inherited from MultiplicativeSemigroup[A]

Inherited from AdditiveMonoid[A]

Inherited from AdditiveSemigroup[A]

Inherited from AnyRef

Inherited from Any

Ungrouped