spire.std

BigIntIsEuclideanRing

trait BigIntIsEuclideanRing extends EuclideanRing[BigInt]

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

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

    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): BigInt

    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
    BigIntIsEuclideanRingRing
  12. def gcd(a: BigInt, b: BigInt): BigInt

    Definition Classes
    BigIntIsEuclideanRingEuclideanRing
  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 lcm(a: BigInt, b: BigInt): BigInt

    Definition Classes
    EuclideanRing
  17. def minus(a: BigInt, b: BigInt): BigInt

    Definition Classes
    BigIntIsEuclideanRingAdditiveGroup
  18. def mod(a: BigInt, b: BigInt): BigInt

    Definition Classes
    BigIntIsEuclideanRingEuclideanRing
  19. def multiplicative: CMonoid[BigInt]

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

    Definition Classes
    AnyRef
  21. def negate(a: BigInt): BigInt

    Definition Classes
    BigIntIsEuclideanRingAdditiveGroup
  22. final def notify(): Unit

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

    Definition Classes
    AnyRef
  24. val one: BigInt

  25. def plus(a: BigInt, b: BigInt): BigInt

  26. def pow(a: BigInt, b: Int): BigInt

    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
    BigIntIsEuclideanRingRigSemiring
  27. def quot(a: BigInt, b: BigInt): BigInt

    Definition Classes
    BigIntIsEuclideanRingEuclideanRing
  28. def quotmod(a: BigInt, b: BigInt): (BigInt, BigInt)

    Definition Classes
    BigIntIsEuclideanRingEuclideanRing
  29. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  30. def times(a: BigInt, b: BigInt): BigInt

  31. def toString(): String

    Definition Classes
    AnyRef → Any
  32. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  33. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  34. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  35. val zero: BigInt

    Definition Classes
    BigIntIsEuclideanRingAdditiveMonoid

Inherited from EuclideanRing[BigInt]

Inherited from CRing[BigInt]

Inherited from MultiplicativeCMonoid[BigInt]

Inherited from MultiplicativeCSemigroup[BigInt]

Inherited from Ring[BigInt]

Inherited from Rng[BigInt]

Inherited from AdditiveAbGroup[BigInt]

Inherited from AdditiveCMonoid[BigInt]

Inherited from AdditiveCSemigroup[BigInt]

Inherited from AdditiveGroup[BigInt]

Inherited from Rig[BigInt]

Inherited from MultiplicativeMonoid[BigInt]

Inherited from Semiring[BigInt]

Inherited from MultiplicativeSemigroup[BigInt]

Inherited from AdditiveMonoid[BigInt]

Inherited from AdditiveSemigroup[BigInt]

Inherited from AnyRef

Inherited from Any

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