spire.std

BigIntegerIsEuclideanRing

trait BigIntegerIsEuclideanRing extends EuclideanRing[BigInteger]

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

    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: BigInteger): BigInt

    Definition Classes
    BigIntegerIsEuclideanRing → EuclideanRing

  12. def finalize(): Unit

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

  13. def fromBigInt(n: BigInt): BigInteger

    Definition Classes
    Ring

  14. def fromInt(n: Int): BigInteger

    Definition Classes
    BigIntegerIsEuclideanRing → Ring

  15. def gcd(a: BigInteger, b: BigInteger): BigInteger

  16. def gcd(a: BigInteger, b: BigInteger)(implicit ev: Eq[BigInteger]): BigInteger

    Definition Classes
    EuclideanRing → GCDRing

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

    Definition Classes
    AnyRef → Any

  18. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  19. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  20. def isOne(a: BigInteger)(implicit ev: Eq[BigInteger]): Boolean

    Definition Classes
    MultiplicativeMonoid

  21. def isZero(a: BigInteger)(implicit ev: Eq[BigInteger]): Boolean

    Definition Classes
    AdditiveMonoid

  22. def lcm(a: BigInteger, b: BigInteger)(implicit ev: Eq[BigInteger]): BigInteger

    Definition Classes
    EuclideanRing → GCDRing

  23. def minus(a: BigInteger, b: BigInteger): BigInteger

    Definition Classes
    BigIntegerIsEuclideanRing → AdditiveGroup

  24. def mod(a: BigInteger, b: BigInteger): BigInteger

    Definition Classes
    BigIntegerIsEuclideanRing → EuclideanRing

  25. def multiplicative: CommutativeMonoid[BigInteger]

    Definition Classes
    MultiplicativeCommutativeMonoid → MultiplicativeCommutativeSemigroup → MultiplicativeMonoid → MultiplicativeSemigroup

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

    Definition Classes
    AnyRef

  27. def negate(a: BigInteger): BigInteger

    Definition Classes
    BigIntegerIsEuclideanRing → AdditiveGroup

  28. final def notify(): Unit

    Definition Classes
    AnyRef

  29. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  30. def one: BigInteger

    Definition Classes
    BigIntegerIsEuclideanRing → MultiplicativeMonoid

  31. def plus(a: BigInteger, b: BigInteger): BigInteger

    Definition Classes
    BigIntegerIsEuclideanRing → AdditiveSemigroup

  32. def positivePow(a: BigInteger, n: Int): BigInteger

    Attributes
    protected[this]
    Definition Classes
    MultiplicativeSemigroup

  33. def positiveSumN(a: BigInteger, n: Int): BigInteger

    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup

  34. def pow(a: BigInteger, b: Int): BigInteger

    Definition Classes
    BigIntegerIsEuclideanRing → MultiplicativeMonoid → MultiplicativeSemigroup

  35. def product(as: TraversableOnce[BigInteger]): BigInteger

    Definition Classes
    MultiplicativeMonoid

  36. def quot(a: BigInteger, b: BigInteger): BigInteger

    Definition Classes
    BigIntegerIsEuclideanRing → EuclideanRing

  37. def quotmod(a: BigInteger, b: BigInteger): (BigInteger, BigInteger)

    Definition Classes
    BigIntegerIsEuclideanRing → EuclideanRing

  38. def sum(as: TraversableOnce[BigInteger]): BigInteger

    Definition Classes
    AdditiveMonoid

  39. def sumN(a: BigInteger, n: Int): BigInteger

    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

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

    Definition Classes
    AnyRef

  41. def times(a: BigInteger, b: BigInteger): BigInteger

    Definition Classes
    BigIntegerIsEuclideanRing → MultiplicativeSemigroup

  42. def toString(): String

    Definition Classes
    AnyRef → Any

  43. def tryProduct(as: TraversableOnce[BigInteger]): Option[BigInteger]

    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

  44. def trySum(as: TraversableOnce[BigInteger]): Option[BigInteger]

    Definition Classes
    AdditiveMonoid → AdditiveSemigroup

  45. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  48. def zero: BigInteger

    Definition Classes
    BigIntegerIsEuclideanRing → AdditiveMonoid

Inherited from EuclideanRing[BigInteger]

Inherited from GCDRing[BigInteger]

Inherited from CommutativeRing[BigInteger]

Inherited from CommutativeRng[BigInteger]

Inherited from CommutativeRig[BigInteger]

Inherited from MultiplicativeCommutativeMonoid[BigInteger]

Inherited from CommutativeSemiring[BigInteger]

Inherited from MultiplicativeCommutativeSemigroup[BigInteger]

Inherited from Ring[BigInteger]

Inherited from Rng[BigInteger]

Inherited from AdditiveCommutativeGroup[BigInteger]

Inherited from AdditiveGroup[BigInteger]

Inherited from Rig[BigInteger]

Inherited from MultiplicativeMonoid[BigInteger]

Inherited from Semiring[BigInteger]

Inherited from MultiplicativeSemigroup[BigInteger]

Inherited from AdditiveCommutativeMonoid[BigInteger]

Inherited from AdditiveCommutativeSemigroup[BigInteger]

Inherited from AdditiveMonoid[BigInteger]

Inherited from AdditiveSemigroup[BigInteger]

Inherited from Serializable

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

Ungrouped