Packages

t

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
BigIntAlgebra
Ordering
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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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Visibility
  1. Public
  2. All

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]
    Definition Classes
    AdditiveAbGroup → AdditiveCMonoid → AdditiveCSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  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
    BigIntIsEuclideanRing → Ring
  12. def gcd(a: BigInt, b: BigInt): BigInt
    Definition Classes
    BigIntIsEuclideanRing → EuclideanRing
  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 isOne(a: BigInt)(implicit ev: Eq[BigInt]): Boolean
    Definition Classes
    MultiplicativeMonoid
  17. def isZero(a: BigInt)(implicit ev: Eq[BigInt]): Boolean

    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid
  18. def lcm(a: BigInt, b: BigInt): BigInt
    Definition Classes
    EuclideanRing
  19. def minus(a: BigInt, b: BigInt): BigInt
    Definition Classes
    BigIntIsEuclideanRing → AdditiveGroup
  20. def mod(a: BigInt, b: BigInt): BigInt
    Definition Classes
    BigIntIsEuclideanRing → EuclideanRing
  21. def multiplicative: CMonoid[BigInt]
    Definition Classes
    MultiplicativeCMonoid → MultiplicativeCSemigroup → MultiplicativeMonoid → MultiplicativeSemigroup
  22. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  23. def negate(a: BigInt): BigInt
    Definition Classes
    BigIntIsEuclideanRing → AdditiveGroup
  24. final def notify(): Unit
    Definition Classes
    AnyRef
  25. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  26. val one: BigInt
    Definition Classes
    BigIntIsEuclideanRing → MultiplicativeMonoid
  27. def plus(a: BigInt, b: BigInt): BigInt
    Definition Classes
    BigIntIsEuclideanRing → AdditiveSemigroup
  28. 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
    BigIntIsEuclideanRing → Rig → Semiring
  29. def prod(as: TraversableOnce[BigInt]): BigInt

    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[BigInt]): Option[BigInt]

    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: BigInt, n: Int): BigInt

    Return a multiplied with itself n times.

    Return a multiplied with itself n times.

    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup
  32. def prodnAboveOne(a: BigInt, n: Int): BigInt
    Attributes
    protected
    Definition Classes
    MultiplicativeSemigroup
  33. def quot(a: BigInt, b: BigInt): BigInt
    Definition Classes
    BigIntIsEuclideanRing → EuclideanRing
  34. def quotmod(a: BigInt, b: BigInt): (BigInt, BigInt)
    Definition Classes
    BigIntIsEuclideanRing → EuclideanRing
  35. def sum(as: TraversableOnce[BigInt]): BigInt

    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[BigInt]): Option[BigInt]

    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: BigInt, n: Int): BigInt

    Return a added with itself n times.

    Return a added with itself n times.

    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  38. def sumnAboveOne(a: BigInt, n: Int): BigInt
    Attributes
    protected
    Definition Classes
    AdditiveSemigroup
  39. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  40. def times(a: BigInt, b: BigInt): BigInt
    Definition Classes
    BigIntIsEuclideanRing → MultiplicativeSemigroup
  41. def toString(): String
    Definition Classes
    AnyRef → Any
  42. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  43. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  44. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  45. val zero: BigInt
    Definition Classes
    BigIntIsEuclideanRing → AdditiveMonoid

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

Ungrouped