spire.math

RationalIsField

trait RationalIsField extends Field[Rational] with RationalIsEuclideanRing

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

  7. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  8. def ceil(a: Rational): Rational

    Definition Classes
    RationalIsFieldField
  9. def clone(): AnyRef

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

    Definition Classes
    RationalIsFieldMultiplicativeGroup
  11. final def eq(arg0: AnyRef): Boolean

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

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

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

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws()
  15. def floor(a: Rational): Rational

    Definition Classes
    RationalIsFieldField
  16. 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
    RationalIsFieldField
  17. def fromInt(n: Int): Rational

    Definition Classes
    RationalIsRingRing
  18. def gcd(a: Rational, b: Rational): Rational

    Definition Classes
    RationalIsEuclideanRingEuclideanRing
  19. final def getClass(): Class[_]

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

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

    Definition Classes
    Any
  22. def isWhole(a: Rational): Boolean

    Definition Classes
    RationalIsFieldField
  23. def lcm(a: Rational, b: Rational): Rational

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

    Definition Classes
    RationalIsRingAdditiveGroup
  25. def mod(a: Rational, b: Rational): Rational

    Definition Classes
    RationalIsEuclideanRingEuclideanRing
  26. def multiplicative: AbGroup[Rational]

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

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

    Definition Classes
    RationalIsRingAdditiveGroup
  29. final def notify(): Unit

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

    Definition Classes
    AnyRef
  31. def one: Rational

    Definition Classes
    RationalIsRingMultiplicativeMonoid
  32. def plus(a: Rational, b: Rational): Rational

    Definition Classes
    RationalIsRingAdditiveSemigroup
  33. def pow(a: Rational, b: Int): Rational

    Definition Classes
    RationalIsRingRigSemiring
  34. def quot(a: Rational, b: Rational): Rational

    Definition Classes
    RationalIsEuclideanRingEuclideanRing
  35. def quotmod(a: Rational, b: Rational): (Rational, Rational)

    Definition Classes
    RationalIsEuclideanRingEuclideanRing
  36. def reciprocal(x: Rational): Rational

    Definition Classes
    MultiplicativeGroup
  37. def round(a: Rational): Rational

    Definition Classes
    RationalIsFieldField
  38. final def synchronized[T0](arg0: ⇒ T0): T0

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

  40. def toString(): String

    Definition Classes
    AnyRef → Any
  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: Rational

    Definition Classes
    RationalIsRingAdditiveMonoid

Inherited from RationalIsEuclideanRing

Inherited from RationalIsRing

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