spire.std

LongIsEuclideanRing

trait LongIsEuclideanRing extends EuclideanRing[Long]

Linear Supertypes
EuclideanRing[Long], GCDRing[Long], CommutativeRing[Long], CommutativeRng[Long], CommutativeRig[Long], MultiplicativeCommutativeMonoid[Long], CommutativeSemiring[Long], MultiplicativeCommutativeSemigroup[Long], Ring[Long], Rng[Long], AdditiveCommutativeGroup[Long], AdditiveGroup[Long], Rig[Long], MultiplicativeMonoid[Long], Semiring[Long], MultiplicativeSemigroup[Long], AdditiveCommutativeMonoid[Long], AdditiveCommutativeSemigroup[Long], AdditiveMonoid[Long], AdditiveSemigroup[Long], Serializable, Serializable, AnyRef, Any
Known Subclasses
LongAlgebra
Ordering
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  2. By inheritance
Inherited
  1. LongIsEuclideanRing
  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[Long]

    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: Long): BigInt

    Definition Classes
    LongIsEuclideanRing → EuclideanRing

  12. def finalize(): Unit

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

  13. def fromBigInt(n: BigInt): Long

    Definition Classes
    Ring

  14. def fromInt(n: Int): Long

    Definition Classes
    LongIsEuclideanRing → Ring

  15. def gcd(a: Long, b: Long)(implicit ev: Eq[Long]): Long

    Definition Classes
    LongIsEuclideanRing → EuclideanRing → GCDRing

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

    Definition Classes
    AnyRef → Any

  17. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  18. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  19. def isOne(a: Long)(implicit ev: Eq[Long]): Boolean

    Definition Classes
    MultiplicativeMonoid

  20. def isZero(a: Long)(implicit ev: Eq[Long]): Boolean

    Definition Classes
    AdditiveMonoid

  21. def lcm(a: Long, b: Long)(implicit ev: Eq[Long]): Long

    Definition Classes
    LongIsEuclideanRing → EuclideanRing → GCDRing

  22. def minus(a: Long, b: Long): Long

    Definition Classes
    LongIsEuclideanRing → AdditiveGroup

  23. def mod(a: Long, b: Long): Long

    Definition Classes
    LongIsEuclideanRing → EuclideanRing

  24. def multiplicative: CommutativeMonoid[Long]

    Definition Classes
    MultiplicativeCommutativeMonoid → MultiplicativeCommutativeSemigroup → MultiplicativeMonoid → MultiplicativeSemigroup

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

    Definition Classes
    AnyRef

  26. def negate(a: Long): Long

    Definition Classes
    LongIsEuclideanRing → AdditiveGroup

  27. final def notify(): Unit

    Definition Classes
    AnyRef

  28. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  29. def one: Long

    Definition Classes
    LongIsEuclideanRing → MultiplicativeMonoid

  30. def plus(a: Long, b: Long): Long

    Definition Classes
    LongIsEuclideanRing → AdditiveSemigroup

  31. def positivePow(a: Long, n: Int): Long

    Attributes
    protected[this]
    Definition Classes
    MultiplicativeSemigroup

  32. def positiveSumN(a: Long, n: Int): Long

    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup

  33. def pow(a: Long, b: Int): Long

    Definition Classes
    LongIsEuclideanRing → MultiplicativeMonoid → MultiplicativeSemigroup

  34. def product(as: TraversableOnce[Long]): Long

    Definition Classes
    MultiplicativeMonoid

  35. def quot(a: Long, b: Long): Long

    Definition Classes
    LongIsEuclideanRing → EuclideanRing

  36. def quotmod(a: Long, b: Long): (Long, Long)

    Definition Classes
    EuclideanRing

  37. def sum(as: TraversableOnce[Long]): Long

    Definition Classes
    AdditiveMonoid

  38. def sumN(a: Long, n: Int): Long

    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

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

    Definition Classes
    AnyRef

  40. def times(a: Long, b: Long): Long

    Definition Classes
    LongIsEuclideanRing → MultiplicativeSemigroup

  41. def toString(): String

    Definition Classes
    AnyRef → Any

  42. def tryProduct(as: TraversableOnce[Long]): Option[Long]

    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

  43. def trySum(as: TraversableOnce[Long]): Option[Long]

    Definition Classes
    AdditiveMonoid → AdditiveSemigroup

  44. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  47. def zero: Long

    Definition Classes
    LongIsEuclideanRing → AdditiveMonoid

Inherited from EuclideanRing[Long]

Inherited from GCDRing[Long]

Inherited from CommutativeRing[Long]

Inherited from CommutativeRng[Long]

Inherited from CommutativeRig[Long]

Inherited from MultiplicativeCommutativeMonoid[Long]

Inherited from CommutativeSemiring[Long]

Inherited from MultiplicativeCommutativeSemigroup[Long]

Inherited from Ring[Long]

Inherited from Rng[Long]

Inherited from AdditiveCommutativeGroup[Long]

Inherited from AdditiveGroup[Long]

Inherited from Rig[Long]

Inherited from MultiplicativeMonoid[Long]

Inherited from Semiring[Long]

Inherited from MultiplicativeSemigroup[Long]

Inherited from AdditiveCommutativeMonoid[Long]

Inherited from AdditiveCommutativeSemigroup[Long]

Inherited from AdditiveMonoid[Long]

Inherited from AdditiveSemigroup[Long]

Inherited from Serializable

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

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