Trait

spire.std

LongIsEuclideanRing

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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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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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Visibility
  1. Public
  2. All

Value Members

  1. final def !=(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any

  2. final def ##(): Int

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    Definition Classes
    AnyRef → Any

  3. final def ==(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any

  4. def additive: CommutativeGroup[Long]

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    Definition Classes
    AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  5. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any

  6. def clone(): AnyRef

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

  7. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef

  8. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any

  9. def euclideanFunction(a: Long): BigInt

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    Definition Classes
    LongIsEuclideanRing → EuclideanRing

  10. def finalize(): Unit

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

  11. def fromBigInt(n: BigInt): Long

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    Definition Classes
    Ring

  12. def fromInt(n: Int): Long

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    Definition Classes
    LongIsEuclideanRing → Ring

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

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    Definition Classes
    LongIsEuclideanRing → GCDRing

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

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    Definition Classes
    AnyRef → Any

  15. def hashCode(): Int

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    Definition Classes
    AnyRef → Any

  16. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any

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

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    Definition Classes
    MultiplicativeMonoid

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

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    Definition Classes
    AdditiveMonoid

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

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    Definition Classes
    LongIsEuclideanRing → GCDRing

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

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    Definition Classes
    LongIsEuclideanRing → AdditiveGroup

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

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    Definition Classes
    LongIsEuclideanRing → EuclideanRing

  22. def multiplicative: CommutativeMonoid[Long]

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    Definition Classes
    MultiplicativeCommutativeMonoid → MultiplicativeCommutativeSemigroup → MultiplicativeMonoid → MultiplicativeSemigroup

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

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    Definition Classes
    AnyRef

  24. def negate(a: Long): Long

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    Definition Classes
    LongIsEuclideanRing → AdditiveGroup

  25. final def notify(): Unit

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    Definition Classes
    AnyRef

  26. final def notifyAll(): Unit

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    Definition Classes
    AnyRef

  27. def one: Long

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    Definition Classes
    LongIsEuclideanRing → MultiplicativeMonoid

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

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    Definition Classes
    LongIsEuclideanRing → AdditiveSemigroup

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

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    Attributes
    protected[this]
    Definition Classes
    MultiplicativeSemigroup

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

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    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup

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

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    Definition Classes
    LongIsEuclideanRing → MultiplicativeMonoid → MultiplicativeSemigroup

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

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    Definition Classes
    MultiplicativeMonoid

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

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    Definition Classes
    LongIsEuclideanRing → EuclideanRing

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

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    Definition Classes
    EuclideanRing

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

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    Definition Classes
    AdditiveMonoid

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

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    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

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

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    Definition Classes
    AnyRef

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

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    Definition Classes
    LongIsEuclideanRing → MultiplicativeSemigroup

  39. def toString(): String

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    Definition Classes
    AnyRef → Any

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

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    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

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

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    Definition Classes
    AdditiveMonoid → AdditiveSemigroup

  42. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  45. def zero: Long

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    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

Ungrouped