spire.math.RealInstances

RealAlgebra

implicit object RealAlgebra extends RealIsField with RealIsNRoot

Linear Supertypes
RealIsNRoot, NRoot[Real], RealIsField, RealIsEuclideanRing, RealIsRing, Field[Real], MultiplicativeAbGroup[Real], MultiplicativeGroup[Real], EuclideanRing[Real], Ring[Real], Rng[Real], AdditiveAbGroup[Real], AdditiveGroup[Real], Rig[Real], MultiplicativeMonoid[Real], AdditiveMonoid[Real], Semiring[Real], MultiplicativeSemigroup[Real], AdditiveSemigroup[Real], AnyRef, Any
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Inherited
  1. RealAlgebra
  2. RealIsNRoot
  3. NRoot
  4. RealIsField
  5. RealIsEuclideanRing
  6. RealIsRing
  7. Field
  8. MultiplicativeAbGroup
  9. MultiplicativeGroup
  10. EuclideanRing
  11. Ring
  12. Rng
  13. AdditiveAbGroup
  14. AdditiveGroup
  15. Rig
  16. MultiplicativeMonoid
  17. AdditiveMonoid
  18. Semiring
  19. MultiplicativeSemigroup
  20. AdditiveSemigroup
  21. AnyRef
  22. 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[Real]

    Definition Classes
    AdditiveAbGroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  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: Real, b: Real): Real

    Definition Classes
    RealIsField → 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: Real, b: Real)(implicit eq: Eq[Real]): Real

    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 fpow(a: Real, b: Real): Nothing

    Definition Classes
    RealIsNRoot → NRoot

  15. def fromDouble(n: Double): Real

    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
    RealIsField → Field

  16. def fromInt(n: Int): Real

    Definition Classes
    RealIsRing → Ring

  17. def gcd(a: Real, b: Real): Real

    Definition Classes
    RealIsEuclideanRing → EuclideanRing

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

    Definition Classes
    AnyRef → Any

  19. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  20. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  21. def lcm(a: Real, b: Real): Real

    Definition Classes
    EuclideanRing

  22. def minus(a: Real, b: Real): Real

    Definition Classes
    RealIsRing → AdditiveGroup

  23. def mod(a: Real, b: Real): Real

    Definition Classes
    RealIsEuclideanRing → EuclideanRing

  24. def multiplicative: AbGroup[Real]

    Definition Classes
    MultiplicativeAbGroup → MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup

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

    Definition Classes
    AnyRef

  26. def negate(a: Real): Real

    Definition Classes
    RealIsRing → AdditiveGroup

  27. final def notify(): Unit

    Definition Classes
    AnyRef

  28. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  29. def nroot(a: Real, k: Int): Real

    Definition Classes
    RealIsNRoot → NRoot

  30. def one: Real

    Definition Classes
    RealIsRing → MultiplicativeMonoid

  31. def plus(a: Real, b: Real): Real

    Definition Classes
    RealIsRing → AdditiveSemigroup

  32. def pow(a: Real, b: Int): Real

    Definition Classes
    RealIsRing → Rig → Semiring

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

    Definition Classes
    RealIsEuclideanRing → EuclideanRing

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

    Definition Classes
    EuclideanRing

  35. def reciprocal(x: Real): Real

    Definition Classes
    MultiplicativeGroup

  36. def sqrt(a: Real): Real

    Definition Classes
    NRoot

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

    Definition Classes
    AnyRef

  38. def times(a: Real, b: Real): Real

    Definition Classes
    RealIsRing → MultiplicativeSemigroup

  39. def toString(): String

    Definition Classes
    AnyRef → Any

  40. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  41. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  42. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  43. def zero: Real

    Definition Classes
    RealIsRing → AdditiveMonoid

Inherited from RealIsNRoot

Inherited from NRoot[Real]

Inherited from RealIsField

Inherited from RealIsEuclideanRing

Inherited from RealIsRing

Inherited from Field[Real]

Inherited from MultiplicativeAbGroup[Real]

Inherited from MultiplicativeGroup[Real]

Inherited from EuclideanRing[Real]

Inherited from Ring[Real]

Inherited from Rng[Real]

Inherited from AdditiveAbGroup[Real]

Inherited from AdditiveGroup[Real]

Inherited from Rig[Real]

Inherited from MultiplicativeMonoid[Real]

Inherited from AdditiveMonoid[Real]

Inherited from Semiring[Real]

Inherited from MultiplicativeSemigroup[Real]

Inherited from AdditiveSemigroup[Real]

Inherited from AnyRef

Inherited from Any

Ungrouped