spire.std

ByteIsEuclideanRing

trait ByteIsEuclideanRing extends EuclideanRing[Byte]

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Inherited
  1. ByteIsEuclideanRing
  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: 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: AbGroup[Byte]

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

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

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

    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
    ByteIsEuclideanRingRing
  14. def gcd(a: Byte, b: Byte): Byte

    Definition Classes
    ByteIsEuclideanRingEuclideanRing
  15. final def getClass(): Class[_]

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

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

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

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

    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid
  20. def lcm(a: Byte, b: Byte): Byte

    Definition Classes
    EuclideanRing
  21. def minus(a: Byte, b: Byte): Byte

    Definition Classes
    ByteIsEuclideanRingAdditiveGroup
  22. def mod(a: Byte, b: Byte): Byte

    Definition Classes
    ByteIsEuclideanRingEuclideanRing
  23. def multiplicative: CMonoid[Byte]

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

    Definition Classes
    AnyRef
  25. def negate(a: Byte): Byte

    Definition Classes
    ByteIsEuclideanRingAdditiveGroup
  26. final def notify(): Unit

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

    Definition Classes
    AnyRef
  28. def one: Byte

  29. def plus(a: Byte, b: Byte): Byte

    Definition Classes
    ByteIsEuclideanRingAdditiveSemigroup
  30. def pow(a: Byte, b: Int): Byte

    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
    ByteIsEuclideanRingRigSemiring
  31. def prod(as: TraversableOnce[Byte]): Byte

    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
  32. def prodOption(as: TraversableOnce[Byte]): Option[Byte]

    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
  33. def prodn(a: Byte, n: Int): Byte

    Return a multiplied with itself n times.

    Return a multiplied with itself n times.

    Definition Classes
    MultiplicativeMonoidMultiplicativeSemigroup
  34. def prodnAboveOne(a: Byte, n: Int): Byte

    Attributes
    protected
    Definition Classes
    MultiplicativeSemigroup
  35. def quot(a: Byte, b: Byte): Byte

    Definition Classes
    ByteIsEuclideanRingEuclideanRing
  36. def quotmod(a: Byte, b: Byte): (Byte, Byte)

    Definition Classes
    EuclideanRing
  37. def sum(as: TraversableOnce[Byte]): Byte

    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
  38. def sumOption(as: TraversableOnce[Byte]): Option[Byte]

    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
  39. def sumn(a: Byte, n: Int): Byte

    Return a added with itself n times.

    Return a added with itself n times.

    Definition Classes
    AdditiveGroupAdditiveMonoidAdditiveSemigroup
  40. def sumnAboveOne(a: Byte, n: Int): Byte

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

    Definition Classes
    AnyRef
  42. def times(a: Byte, b: Byte): Byte

  43. def toString(): String

    Definition Classes
    AnyRef → Any
  44. final def wait(): Unit

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  47. def zero: Byte

    Definition Classes
    ByteIsEuclideanRingAdditiveMonoid

Inherited from EuclideanRing[Byte]

Inherited from CRing[Byte]

Inherited from MultiplicativeCMonoid[Byte]

Inherited from MultiplicativeCSemigroup[Byte]

Inherited from Ring[Byte]

Inherited from Rng[Byte]

Inherited from AdditiveAbGroup[Byte]

Inherited from AdditiveCMonoid[Byte]

Inherited from AdditiveCSemigroup[Byte]

Inherited from AdditiveGroup[Byte]

Inherited from Rig[Byte]

Inherited from MultiplicativeMonoid[Byte]

Inherited from Semiring[Byte]

Inherited from MultiplicativeSemigroup[Byte]

Inherited from AdditiveMonoid[Byte]

Inherited from AdditiveSemigroup[Byte]

Inherited from AnyRef

Inherited from Any

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