algebra.instances

LongAlgebra

class LongAlgebra extends EuclideanRing[Long] with Serializable

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Inherited
  1. LongAlgebra
  2. EuclideanRing
  3. CommutativeRing
  4. CommutativeRig
  5. MultiplicativeCommutativeMonoid
  6. MultiplicativeCommutativeSemigroup
  7. Ring
  8. Rng
  9. AdditiveCommutativeGroup
  10. AdditiveGroup
  11. Rig
  12. MultiplicativeMonoid
  13. Semiring
  14. MultiplicativeSemigroup
  15. AdditiveCommutativeMonoid
  16. AdditiveCommutativeSemigroup
  17. AdditiveMonoid
  18. AdditiveSemigroup
  19. Serializable
  20. Serializable
  21. AnyRef
  22. Any
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Instance Constructors

  1. new LongAlgebra()

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[Long]

  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 finalize(): Unit

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

    Convert the given integer to an instance of A.

    Convert the given integer to an instance of A.

    Defined to be equivalent to sumN(one, n).

    That is, n repeated summations of this ring's one, or -n summations of -one if n is negative.

    Most type class instances should consider overriding this method for performance reasons.

    Definition Classes
    LongAlgebraRing
  13. def gcd(x: Long, y: Long): Long

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

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

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

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

    Tests if a is one.

    Tests if a is one.

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

    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid
  19. def minus(x: Long, y: Long): Long

    Definition Classes
    LongAlgebraAdditiveGroup
  20. def mod(x: Long, y: Long): Long

    Definition Classes
    LongAlgebraEuclideanRing
  21. def multiplicative: CommutativeMonoid[Long]

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

    Definition Classes
    AnyRef
  23. def negate(x: Long): Long

    Definition Classes
    LongAlgebraAdditiveGroup
  24. final def notify(): Unit

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

    Definition Classes
    AnyRef
  26. def one: Long

    Definition Classes
    LongAlgebraMultiplicativeMonoid
  27. def plus(x: Long, y: Long): Long

    Definition Classes
    LongAlgebraAdditiveSemigroup
  28. def positivePow(a: Long, n: Int): Long

    Attributes
    protected[this]
    Definition Classes
    MultiplicativeSemigroup
  29. def positiveSumN(a: Long, n: Int): Long

    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup
  30. def pow(x: Long, y: Int): Long

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

    Given a sequence of as, compute the product.

    Given a sequence of as, compute the product.

    Definition Classes
    MultiplicativeMonoid
  32. def quot(x: Long, y: Long): Long

    Definition Classes
    LongAlgebraEuclideanRing
  33. def quotmod(a: Long, b: Long): (Long, Long)

    Definition Classes
    EuclideanRing
  34. def sum(as: TraversableOnce[Long]): Long

    Given a sequence of as, compute the sum.

    Given a sequence of as, compute the sum.

    Definition Classes
    AdditiveMonoid
  35. def sumN(a: Long, n: Int): Long

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

    Definition Classes
    AnyRef
  37. def times(x: Long, y: Long): Long

    Definition Classes
    LongAlgebraMultiplicativeSemigroup
  38. def toString(): String

    Definition Classes
    AnyRef → Any
  39. def tryProduct(as: TraversableOnce[Long]): Option[Long]

    Given a sequence of as, combine them and return the total.

    Given a sequence of as, combine them and return the total.

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

    Definition Classes
    MultiplicativeMonoidMultiplicativeSemigroup
  40. def trySum(as: TraversableOnce[Long]): Option[Long]

    Given a sequence of as, combine them and return the total.

    Given a sequence of as, combine them and return the total.

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

    Definition Classes
    AdditiveMonoidAdditiveSemigroup
  41. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  42. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  43. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  44. def zero: Long

    Definition Classes
    LongAlgebraAdditiveMonoid

Inherited from EuclideanRing[Long]

Inherited from CommutativeRing[Long]

Inherited from CommutativeRig[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 AdditiveMonoid[Long]

Inherited from AdditiveSemigroup[Long]

Inherited from Serializable

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

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