spire.algebra

Field

trait Field[A] extends EuclideanRing[A] with MultiplicativeAbGroup[A]

Linear Supertypes
MultiplicativeAbGroup[A], MultiplicativeGroup[A], EuclideanRing[A], Ring[A], Rng[A], AdditiveAbGroup[A], AdditiveGroup[A], Rig[A], MultiplicativeMonoid[A], AdditiveMonoid[A], Semiring[A], MultiplicativeSemigroup[A], AdditiveSemigroup[A], AnyRef, Any
Known Subclasses
BigDecimalIsField, BigDecimalIsField, BigDecimalIsFractional, BigDecimalIsFractional, BigDecimalIsNumeric, BigDecimalIsNumeric, BigIntIsNumeric, BigIntIsNumeric, ComplexIsField, ComplexIsInnerProductSpace, ComplexIsNumeric, DoubleIsField, DoubleIsField, DoubleIsFractional, DoubleIsFractional, DoubleIsNumeric, DoubleIsNumeric, FPFilterIsField, FPFilterIsFractional, FPFilterIsNumeric, FieldProduct10, FieldProduct11, FieldProduct12, FieldProduct13, FieldProduct14, FieldProduct15, FieldProduct16, FieldProduct17, FieldProduct18, FieldProduct19, FieldProduct2, FieldProduct20, FieldProduct21, FieldProduct22, FieldProduct3, FieldProduct4, FieldProduct5, FieldProduct6, FieldProduct7, FieldProduct8, FieldProduct9, FloatIsField, FloatIsField, FloatIsFractional, FloatIsFractional, FloatIsNumeric, FloatIsNumeric, Fractional, GaussianIsNumeric, IntIsNumeric, IntIsNumeric, LongIsNumeric, LongIsNumeric, NumberIsField, NumberIsField, NumberIsFractional, NumberIsFractional, Numeric, RationalIsField, RationalIsField, RationalIsFractional, RationalIsNumeric, RealIsField, RealIsField, RealIsFractional, RealIsFractional, RealIsNumeric, RealIsNumeric
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Inherited
  1. Field
  2. MultiplicativeAbGroup
  3. MultiplicativeGroup
  4. EuclideanRing
  5. Ring
  6. Rng
  7. AdditiveAbGroup
  8. AdditiveGroup
  9. Rig
  10. MultiplicativeMonoid
  11. AdditiveMonoid
  12. Semiring
  13. MultiplicativeSemigroup
  14. AdditiveSemigroup
  15. AnyRef
  16. Any
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Visibility
  1. Public
  2. All

Abstract Value Members

  1. abstract def ceil(a: A): A

  2. abstract def div(x: A, y: A): A

    Definition Classes
    MultiplicativeGroup

  3. abstract def floor(a: A): A

  4. abstract def gcd(a: A, b: A): A

    Definition Classes
    EuclideanRing

  5. abstract def isWhole(a: A): Boolean

  6. abstract def mod(a: A, b: A): A

    Definition Classes
    EuclideanRing

  7. abstract def negate(x: A): A

    Definition Classes
    AdditiveGroup

  8. abstract def one: A

    Definition Classes
    MultiplicativeMonoid

  9. abstract def plus(x: A, y: A): A

    Definition Classes
    AdditiveSemigroup

  10. abstract def quot(a: A, b: A): A

    Definition Classes
    EuclideanRing

  11. abstract def round(a: A): A

  12. abstract def times(x: A, y: A): A

    Definition Classes
    MultiplicativeSemigroup

  13. abstract def zero: A

    Definition Classes
    AdditiveMonoid

Concrete 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[A]

    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. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  10. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any

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

    Attributes
    protected[this]
    Definition Classes
    EuclideanRing
    Annotations
    @tailrec()

  12. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws()

  13. def fromInt(n: Int): A

    Definition Classes
    Ring

  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 minus(x: A, y: A): A

    Definition Classes
    AdditiveGroup

  18. def multiplicative: AbGroup[A]

    Definition Classes
    MultiplicativeAbGroup → MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup

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

    Definition Classes
    AnyRef

  20. final def notify(): Unit

    Definition Classes
    AnyRef

  21. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  22. def pow(a: A, n: Int): A

    Definition Classes
    Rig → Semiring

  23. def quotmod(a: A, b: A): (A, A)

    Definition Classes
    EuclideanRing

  24. def reciprocal(x: A): A

    Definition Classes
    MultiplicativeGroup

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

    Definition Classes
    AnyRef

  26. def toString(): String

    Definition Classes
    AnyRef → Any

  27. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws()

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

    Definition Classes
    AnyRef
    Annotations
    @throws()

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

    Definition Classes
    AnyRef
    Annotations
    @throws()

Inherited from MultiplicativeAbGroup[A]

Inherited from MultiplicativeGroup[A]

Inherited from EuclideanRing[A]

Inherited from Ring[A]

Inherited from Rng[A]

Inherited from AdditiveAbGroup[A]

Inherited from AdditiveGroup[A]

Inherited from Rig[A]

Inherited from MultiplicativeMonoid[A]

Inherited from AdditiveMonoid[A]

Inherited from Semiring[A]

Inherited from MultiplicativeSemigroup[A]

Inherited from AdditiveSemigroup[A]

Inherited from AnyRef

Inherited from Any

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