Trait

spire.algebra.EuclideanRing

WithEuclideanAlgorithm

Related Doc: package EuclideanRing

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trait WithEuclideanAlgorithm[A] extends EuclideanRing[A]

Self Type
WithEuclideanAlgorithm[A]
Linear Supertypes
EuclideanRing[A], GCDRing[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
PolynomialOverField
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. WithEuclideanAlgorithm
  2. EuclideanRing
  3. GCDRing
  4. CommutativeRing
  5. CommutativeRng
  6. CommutativeRig
  7. MultiplicativeCommutativeMonoid
  8. CommutativeSemiring
  9. MultiplicativeCommutativeSemigroup
  10. Ring
  11. Rng
  12. AdditiveCommutativeGroup
  13. AdditiveGroup
  14. Rig
  15. MultiplicativeMonoid
  16. Semiring
  17. MultiplicativeSemigroup
  18. AdditiveCommutativeMonoid
  19. AdditiveCommutativeSemigroup
  20. AdditiveMonoid
  21. AdditiveSemigroup
  22. Serializable
  23. Serializable
  24. Any
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Visibility
  1. Public
  2. All

Abstract Value Members

  1. abstract def euclideanFunction(a: A): BigInt

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    Definition Classes
    EuclideanRing

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

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    Definition Classes
    Any

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

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    Definition Classes
    EuclideanRing

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

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    Definition Classes
    AdditiveGroup

  5. abstract def one: A

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    Definition Classes
    MultiplicativeMonoid

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

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    Definition Classes
    AdditiveSemigroup

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

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    Definition Classes
    EuclideanRing

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

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    Definition Classes
    MultiplicativeSemigroup

  9. abstract def zero: A

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    Definition Classes
    AdditiveMonoid

Concrete Value Members

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

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    Definition Classes
    Any

  2. final def ##(): Int

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    Definition Classes
    Any

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

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    Definition Classes
    Any

  4. def additive: CommutativeGroup[A]

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

  5. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any

  6. def equals(arg0: Any): Boolean

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    Definition Classes
    Any

  7. def fromBigInt(n: BigInt): A

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    Definition Classes
    Ring

  8. def fromInt(n: Int): A

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    Definition Classes
    Ring

  9. def gcd(a: A, b: A)(implicit ev: Eq[A]): A

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    Definition Classes
    WithEuclideanAlgorithm → GCDRing

  10. def hashCode(): Int

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    Definition Classes
    Any

  11. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any

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

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    Definition Classes
    MultiplicativeMonoid

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

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    Definition Classes
    AdditiveMonoid

  14. def lcm(a: A, b: A)(implicit ev: Eq[A]): A

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    Definition Classes
    WithEuclideanAlgorithm → GCDRing

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

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    Definition Classes
    AdditiveGroup

  16. def multiplicative: CommutativeMonoid[A]

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    Definition Classes
    MultiplicativeCommutativeMonoid → MultiplicativeCommutativeSemigroup → MultiplicativeMonoid → MultiplicativeSemigroup

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

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    Attributes
    protected[this]
    Definition Classes
    MultiplicativeSemigroup

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

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    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup

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

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    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

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

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    Definition Classes
    MultiplicativeMonoid

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

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    Definition Classes
    EuclideanRing

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

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    Definition Classes
    AdditiveMonoid

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

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    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  24. def toString(): String

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    Definition Classes
    Any

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

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    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

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

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    Definition Classes
    AdditiveMonoid → AdditiveSemigroup

Inherited from EuclideanRing[A]

Inherited from GCDRing[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