spire.algebra

Field

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

Linear Supertypes
EuclideanRing[A], GCDRing[A], algebra.ring.Field[A], MultiplicativeCommutativeGroup[A], algebra.ring.MultiplicativeGroup[A], CommutativeRing[A], CommutativeRng[A], CommutativeRig[A], MultiplicativeCommutativeMonoid[A], CommutativeSemiring[A], MultiplicativeCommutativeSemigroup[A], algebra.ring.Ring[A], algebra.ring.Rng[A], AdditiveCommutativeGroup[A], algebra.ring.AdditiveGroup[A], algebra.ring.Rig[A], algebra.ring.MultiplicativeMonoid[A], algebra.ring.Semiring[A], algebra.ring.MultiplicativeSemigroup[A], AdditiveCommutativeMonoid[A], AdditiveCommutativeSemigroup[A], algebra.ring.AdditiveMonoid[A], algebra.ring.AdditiveSemigroup[A], Serializable, Serializable, Any
Known Subclasses
AlgebraicAlgebra, BigDecimalAlgebra, BigDecimalIsField, DistField, DoubleAlgebra, DoubleIsField, FloatAlgebra, FloatIsField, Fractional, NumberAlgebra, RationalAlgebra, RealAlgebra, RealIsFractional
Ordering
  1. Alphabetic
  2. By inheritance
Inherited
  1. Field
  2. EuclideanRing
  3. GCDRing
  4. Field
  5. MultiplicativeCommutativeGroup
  6. MultiplicativeGroup
  7. CommutativeRing
  8. CommutativeRng
  9. CommutativeRig
  10. MultiplicativeCommutativeMonoid
  11. CommutativeSemiring
  12. MultiplicativeCommutativeSemigroup
  13. Ring
  14. Rng
  15. AdditiveCommutativeGroup
  16. AdditiveGroup
  17. Rig
  18. MultiplicativeMonoid
  19. Semiring
  20. MultiplicativeSemigroup
  21. AdditiveCommutativeMonoid
  22. AdditiveCommutativeSemigroup
  23. AdditiveMonoid
  24. AdditiveSemigroup
  25. Serializable
  26. Serializable
  27. Any
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Visibility
  1. Public
  2. All

Abstract Value Members

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

    Definition Classes
    MultiplicativeGroup

  2. abstract def getClass(): Class[_]

    Definition Classes
    Any

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

    Definition Classes
    AdditiveGroup

  4. abstract def one: A

    Definition Classes
    MultiplicativeMonoid

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

    Definition Classes
    AdditiveSemigroup

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

    Definition Classes
    MultiplicativeSemigroup

  7. abstract def zero: A

    Definition Classes
    AdditiveMonoid

Concrete Value Members

  1. final def !=(arg0: Any): Boolean

    Definition Classes
    Any

  2. final def ##(): Int

    Definition Classes
    Any

  3. final def ==(arg0: Any): Boolean

    Definition Classes
    Any

  4. def additive: CommutativeGroup[A]

    Definition Classes
    AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  5. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  6. def equals(arg0: Any): Boolean

    Definition Classes
    Any

  7. def euclideanFunction(a: A): BigInt

    Definition Classes
    Field → EuclideanRing

  8. def fromBigInt(n: BigInt): A

    Definition Classes
    Ring

  9. def fromDouble(a: Double): A

    Definition Classes
    Field

  10. def fromInt(n: Int): A

    Definition Classes
    Ring

  11. def gcd(a: A, b: A)(implicit eqA: Eq[A]): A

    Definition Classes
    Field → EuclideanRing → GCDRing

  12. def hashCode(): Int

    Definition Classes
    Any

  13. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  14. def isOne(a: A)(implicit ev: algebra.Eq[A]): Boolean

    Definition Classes
    MultiplicativeMonoid

  15. def isZero(a: A)(implicit ev: algebra.Eq[A]): Boolean

    Definition Classes
    AdditiveMonoid

  16. def lcm(a: A, b: A)(implicit eqA: Eq[A]): A

    Definition Classes
    Field → EuclideanRing → GCDRing

  17. def minus(x: A, y: A): A

    Definition Classes
    AdditiveGroup

  18. def mod(a: A, b: A): A

    Definition Classes
    Field → EuclideanRing

  19. def multiplicative: CommutativeGroup[A]

    Definition Classes
    MultiplicativeCommutativeGroup → MultiplicativeCommutativeMonoid → MultiplicativeCommutativeSemigroup → MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup

  20. def positivePow(a: A, n: Int): A

    Attributes
    protected[this]
    Definition Classes
    MultiplicativeSemigroup

  21. def positiveSumN(a: A, n: Int): A

    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup

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

    Definition Classes
    MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup

  23. def product(as: TraversableOnce[A]): A

    Definition Classes
    MultiplicativeMonoid

  24. def quot(a: A, b: A): A

    Definition Classes
    Field → EuclideanRing

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

    Definition Classes
    Field → EuclideanRing

  26. def reciprocal(x: A): A

    Definition Classes
    MultiplicativeGroup

  27. def sum(as: TraversableOnce[A]): A

    Definition Classes
    AdditiveMonoid

  28. def sumN(a: A, n: Int): A

    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  29. def toString(): String

    Definition Classes
    Any

  30. def tryProduct(as: TraversableOnce[A]): Option[A]

    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

  31. def trySum(as: TraversableOnce[A]): Option[A]

    Definition Classes
    AdditiveMonoid → AdditiveSemigroup

Inherited from EuclideanRing[A]

Inherited from GCDRing[A]

Inherited from algebra.ring.Field[A]

Inherited from MultiplicativeCommutativeGroup[A]

Inherited from algebra.ring.MultiplicativeGroup[A]

Inherited from CommutativeRing[A]

Inherited from CommutativeRng[A]

Inherited from CommutativeRig[A]

Inherited from MultiplicativeCommutativeMonoid[A]

Inherited from CommutativeSemiring[A]

Inherited from MultiplicativeCommutativeSemigroup[A]

Inherited from algebra.ring.Ring[A]

Inherited from algebra.ring.Rng[A]

Inherited from AdditiveCommutativeGroup[A]

Inherited from algebra.ring.AdditiveGroup[A]

Inherited from algebra.ring.Rig[A]

Inherited from algebra.ring.MultiplicativeMonoid[A]

Inherited from algebra.ring.Semiring[A]

Inherited from algebra.ring.MultiplicativeSemigroup[A]

Inherited from AdditiveCommutativeMonoid[A]

Inherited from AdditiveCommutativeSemigroup[A]

Inherited from algebra.ring.AdditiveMonoid[A]

Inherited from algebra.ring.AdditiveSemigroup[A]

Inherited from Serializable

Inherited from Serializable

Inherited from Any

Ungrouped