spire.math.RationalInstances

RationalAlgebra

implicit object RationalAlgebra extends RationalIsField

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Inherited
  1. RationalAlgebra
  2. RationalIsField
  3. Field
  4. MultiplicativeAbGroup
  5. MultiplicativeGroup
  6. EuclideanRing
  7. Ring
  8. Rng
  9. AdditiveAbGroup
  10. AdditiveGroup
  11. Rig
  12. MultiplicativeMonoid
  13. AdditiveMonoid
  14. Semiring
  15. MultiplicativeSemigroup
  16. AdditiveSemigroup
  17. AnyRef
  18. 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[Rational]

  7. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  8. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  9. def div(a: Rational, b: Rational): Rational

    Definition Classes
    RationalIsField → MultiplicativeGroup
  10. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  11. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any
  12. final def euclid(a: Rational, b: Rational)(implicit eq: Eq[Rational]): Rational

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

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  14. def fromDouble(n: Double): Rational

    This is implemented in terms of basic Field ops.

    This is implemented in terms of basic Field ops. However, this is probably significantly less efficient than can be done with a specific type. So, it is recommended that this method is overriden.

    This is possible because a Double is a rational number.

    Definition Classes
    RationalIsField → Field
  15. def fromInt(n: Int): Rational

    Definition Classes
    RationalIsField → Ring
  16. def gcd(a: Rational, b: Rational): Rational

    Definition Classes
    RationalIsField → EuclideanRing
  17. final def getClass(): Class[_]

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

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

    Definition Classes
    Any
  20. def lcm(a: Rational, b: Rational): Rational

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

    Definition Classes
    RationalIsField → AdditiveGroup
  22. def mod(a: Rational, b: Rational): Rational

    Definition Classes
    RationalIsField → EuclideanRing
  23. def multiplicative: AbGroup[Rational]

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

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

    Definition Classes
    RationalIsField → AdditiveGroup
  26. final def notify(): Unit

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

    Definition Classes
    AnyRef
  28. def one: Rational

    Definition Classes
    RationalIsField → MultiplicativeMonoid
  29. def plus(a: Rational, b: Rational): Rational

    Definition Classes
    RationalIsField → AdditiveSemigroup
  30. def pow(a: Rational, b: Int): Rational

    Definition Classes
    RationalIsField → RigSemiring
  31. def quot(a: Rational, b: Rational): Rational

    Definition Classes
    RationalIsField → EuclideanRing
  32. def quotmod(a: Rational, b: Rational): (Rational, Rational)

    Definition Classes
    RationalIsField → EuclideanRing
  33. def reciprocal(x: Rational): Rational

    Definition Classes
    MultiplicativeGroup
  34. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  35. def times(a: Rational, b: Rational): Rational

    Definition Classes
    RationalIsField → MultiplicativeSemigroup
  36. def toString(): String

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

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  40. def zero: Rational

    Definition Classes
    RationalIsField → AdditiveMonoid

Inherited from RationalIsField

Inherited from Field[Rational]

Inherited from MultiplicativeGroup[Rational]

Inherited from EuclideanRing[Rational]

Inherited from Ring[Rational]

Inherited from Rng[Rational]

Inherited from AdditiveAbGroup[Rational]

Inherited from AdditiveGroup[Rational]

Inherited from Rig[Rational]

Inherited from MultiplicativeMonoid[Rational]

Inherited from AdditiveMonoid[Rational]

Inherited from Semiring[Rational]

Inherited from AdditiveSemigroup[Rational]

Inherited from AnyRef

Inherited from Any

Ungrouped