Trait

spire.std

BigIntegerIsEuclideanRing

Related Doc: package std

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trait BigIntegerIsEuclideanRing extends EuclideanRing[BigInteger]

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

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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: AbGroup[BigInteger]

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  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. final def euclid(a: BigInteger, b: BigInteger)(implicit eq: Eq[BigInteger]): BigInteger

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    Attributes
    protected[this]
    Definition Classes
    EuclideanRing
    Annotations
    @tailrec()
  10. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  11. def fromInt(n: Int): BigInteger

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    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
    BigIntegerIsEuclideanRingRing
  12. def gcd(a: BigInteger, b: BigInteger): BigInteger

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

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    Definition Classes
    AnyRef → Any
  14. def hashCode(): Int

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    Definition Classes
    AnyRef → Any
  15. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  16. def isOne(a: BigInteger)(implicit ev: Eq[BigInteger]): Boolean

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    Definition Classes
    MultiplicativeMonoid
  17. def isZero(a: BigInteger)(implicit ev: Eq[BigInteger]): Boolean

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    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid
  18. def lcm(a: BigInteger, b: BigInteger): BigInteger

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    Definition Classes
    EuclideanRing
  19. def minus(a: BigInteger, b: BigInteger): BigInteger

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

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  21. def multiplicative: CMonoid[BigInteger]

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

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    Definition Classes
    AnyRef
  23. def negate(a: BigInteger): BigInteger

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  24. final def notify(): Unit

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

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    Definition Classes
    AnyRef
  26. def one: BigInteger

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

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

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    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
    BigIntegerIsEuclideanRingRigSemiring
  29. def prod(as: TraversableOnce[BigInteger]): BigInteger

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    Given a sequence of as, sum them using the monoid and return the total.

    Given a sequence of as, sum them using the monoid and return the total.

    Definition Classes
    MultiplicativeMonoid
  30. def prodOption(as: TraversableOnce[BigInteger]): Option[BigInteger]

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    Given a sequence of as, sum them using the semigroup and return the total.

    Given a sequence of as, sum them using the semigroup and return the total.

    If the sequence is empty, returns None. Otherwise, returns Some(total).

    Definition Classes
    MultiplicativeSemigroup
  31. def prodn(a: BigInteger, n: Int): BigInteger

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    Return a multiplied with itself n times.

    Return a multiplied with itself n times.

    Definition Classes
    MultiplicativeMonoidMultiplicativeSemigroup
  32. def prodnAboveOne(a: BigInteger, n: Int): BigInteger

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    Attributes
    protected
    Definition Classes
    MultiplicativeSemigroup
  33. def quot(a: BigInteger, b: BigInteger): BigInteger

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

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

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    Given a sequence of as, sum them using the monoid and return the total.

    Given a sequence of as, sum them using the monoid and return the total.

    Definition Classes
    AdditiveMonoid
  36. def sumOption(as: TraversableOnce[BigInteger]): Option[BigInteger]

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    Given a sequence of as, sum them using the semigroup and return the total.

    Given a sequence of as, sum them using the semigroup and return the total.

    If the sequence is empty, returns None. Otherwise, returns Some(total).

    Definition Classes
    AdditiveSemigroup
  37. def sumn(a: BigInteger, n: Int): BigInteger

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    Return a added with itself n times.

    Return a added with itself n times.

    Definition Classes
    AdditiveGroupAdditiveMonoidAdditiveSemigroup
  38. def sumnAboveOne(a: BigInteger, n: Int): BigInteger

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    Attributes
    protected
    Definition Classes
    AdditiveSemigroup
  39. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  40. def times(a: BigInteger, b: BigInteger): BigInteger

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  41. def toString(): String

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    Definition Classes
    AnyRef → Any
  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: BigInteger

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Inherited from EuclideanRing[BigInteger]

Inherited from CRing[BigInteger]

Inherited from MultiplicativeCMonoid[BigInteger]

Inherited from MultiplicativeCSemigroup[BigInteger]

Inherited from Ring[BigInteger]

Inherited from Rng[BigInteger]

Inherited from AdditiveAbGroup[BigInteger]

Inherited from AdditiveCMonoid[BigInteger]

Inherited from AdditiveCSemigroup[BigInteger]

Inherited from AdditiveGroup[BigInteger]

Inherited from Rig[BigInteger]

Inherited from MultiplicativeMonoid[BigInteger]

Inherited from Semiring[BigInteger]

Inherited from MultiplicativeSemigroup[BigInteger]

Inherited from AdditiveMonoid[BigInteger]

Inherited from AdditiveSemigroup[BigInteger]

Inherited from AnyRef

Inherited from Any

Ungrouped