LongIsEuclideanRing

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[Long]

   

   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: Long, b: Long)(implicit eq: Eq[Long]): Long

   

   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): Long

    

    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

    LongIsEuclideanRing → Ring

12. def gcd(a: Long, b: Long): Long

    

    Definition Classes

    LongIsEuclideanRing → 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: Long)(implicit ev: Eq[Long]): Boolean

    

    Definition Classes

    MultiplicativeMonoid

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

    

    Tests if a is zero.

    Tests if a is zero.

    Definition Classes

    AdditiveMonoid

18. def lcm(a: Long, b: Long): Long

    

    Definition Classes

    EuclideanRing

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

    

    Definition Classes

    LongIsEuclideanRing → AdditiveGroup

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

    

    Definition Classes

    LongIsEuclideanRing → EuclideanRing

21. def multiplicative: CMonoid[Long]

    

    Definition Classes

    MultiplicativeCMonoid → MultiplicativeCSemigroup → MultiplicativeMonoid → MultiplicativeSemigroup

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

    

    Definition Classes

    AnyRef

23. def negate(a: Long): Long

    

    Definition Classes

    LongIsEuclideanRing → AdditiveGroup

24. final def notify(): Unit

    

    Definition Classes

    AnyRef

25. final def notifyAll(): Unit

    

    Definition Classes

    AnyRef

26. def one: Long

    

    Definition Classes

    LongIsEuclideanRing → MultiplicativeMonoid

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

    

    Definition Classes

    LongIsEuclideanRing → AdditiveSemigroup

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

    

    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

    LongIsEuclideanRing → Rig → Semiring

29. def prod(as: TraversableOnce[Long]): Long

    

    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[Long]): Option[Long]

    

    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: Long, n: Int): Long

    

    Return a multiplied with itself n times.

    Return a multiplied with itself n times.

    Definition Classes

    MultiplicativeMonoid → MultiplicativeSemigroup

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

    

    Attributes

    protected

    Definition Classes

    MultiplicativeSemigroup

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

    

    Definition Classes

    LongIsEuclideanRing → EuclideanRing

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

    

    Definition Classes

    EuclideanRing

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

    

    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[Long]): Option[Long]

    

    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: Long, n: Int): Long

    

    Return a added with itself n times.

    Return a added with itself n times.

    Definition Classes

    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

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

    

    Attributes

    protected

    Definition Classes

    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. 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. def zero: Long

    

    Definition Classes

    LongIsEuclideanRing → AdditiveMonoid