Trait

spire.algebra

SignedAdditiveAbGroup

Related Doc: package algebra

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trait SignedAdditiveAbGroup[A] extends SignedAdditiveCMonoid[A] with AdditiveAbGroup[A]

Linear Supertypes
AdditiveCommutativeGroup[A], algebra.ring.AdditiveGroup[A], SignedAdditiveCMonoid[A], AdditiveCommutativeMonoid[A], AdditiveCommutativeSemigroup[A], algebra.ring.AdditiveMonoid[A], algebra.ring.AdditiveSemigroup[A], Signed[A], cats.kernel.Order[A], cats.kernel.PartialOrder[A], cats.kernel.Eq[A], Serializable, Serializable, Any
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Inherited
  1. SignedAdditiveAbGroup
  2. AdditiveCommutativeGroup
  3. AdditiveGroup
  4. SignedAdditiveCMonoid
  5. AdditiveCommutativeMonoid
  6. AdditiveCommutativeSemigroup
  7. AdditiveMonoid
  8. AdditiveSemigroup
  9. Signed
  10. Order
  11. PartialOrder
  12. Eq
  13. Serializable
  14. Serializable
  15. Any
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Visibility
  1. Public
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Abstract Value Members

  1. abstract def compare(x: A, y: A): Int

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

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    Definition Classes
    Any
  3. abstract def negate(x: A): A

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    Definition Classes
    AdditiveGroup
  4. abstract def plus(x: A, y: A): A

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    Definition Classes
    AdditiveSemigroup
  5. 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 abs(a: A): A

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    An idempotent function that ensures an object has a non-negative sign.

    An idempotent function that ensures an object has a non-negative sign.

    Definition Classes
    SignedAdditiveAbGroupSigned
  5. def additive: CommutativeGroup[A]

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    Definition Classes
    AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  6. def and(that: cats.kernel.Eq[A]): cats.kernel.Eq[A]

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    Definition Classes
    Eq
  7. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  8. def comparison(x: A, y: A): Comparison

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    Definition Classes
    Order
  9. def equals(arg0: Any): Boolean

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    Definition Classes
    Any
  10. def eqv(x: A, y: A): Boolean

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    Definition Classes
    Order → PartialOrder → Eq
  11. def gt(x: A, y: A): Boolean

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    Definition Classes
    Order → PartialOrder
  12. def gteqv(x: A, y: A): Boolean

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    Definition Classes
    Order → PartialOrder
  13. def hashCode(): Int

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    Definition Classes
    Any
  14. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  15. def isSignNegative(a: A): Boolean

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    Definition Classes
    Signed
  16. def isSignNonNegative(a: A): Boolean

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    Definition Classes
    Signed
  17. def isSignNonPositive(a: A): Boolean

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    Definition Classes
    Signed
  18. def isSignNonZero(a: A): Boolean

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    Definition Classes
    Signed
  19. def isSignPositive(a: A): Boolean

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    Definition Classes
    Signed
  20. def isSignZero(a: A): Boolean

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    Definition Classes
    Signed
  21. def isZero(a: A)(implicit ev: algebra.Eq[A]): Boolean

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    Definition Classes
    AdditiveMonoid
  22. def lt(x: A, y: A): Boolean

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    Definition Classes
    Order → PartialOrder
  23. def lteqv(x: A, y: A): Boolean

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    Definition Classes
    Order → PartialOrder
  24. def max(x: A, y: A): A

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    Definition Classes
    Order
  25. def min(x: A, y: A): A

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    Definition Classes
    Order
  26. def minus(x: A, y: A): A

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    Definition Classes
    AdditiveGroup
  27. def neqv(x: A, y: A): Boolean

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    Definition Classes
    Order → Eq
  28. def on[B](f: (B) ⇒ A): cats.kernel.Order[B]

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    Definition Classes
    Order → PartialOrder → Eq
  29. def or(that: cats.kernel.Eq[A]): cats.kernel.Eq[A]

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    Definition Classes
    Eq
  30. def partialCompare(x: A, y: A): Double

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    Definition Classes
    Order → PartialOrder
  31. def partialComparison(x: A, y: A): Option[Comparison]

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    Definition Classes
    PartialOrder
  32. def pmax(x: A, y: A): Option[A]

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    Definition Classes
    PartialOrder
  33. def pmin(x: A, y: A): Option[A]

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    Definition Classes
    PartialOrder
  34. def positiveSumN(a: A, n: Int): A

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    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup
  35. def reverse: cats.kernel.Order[A]

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    Definition Classes
    Order → PartialOrder
  36. def sign(a: A): Sign

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    Returns Zero if a is 0, Positive if a is positive, and Negative is a is negative.

    Returns Zero if a is 0, Positive if a is positive, and Negative is a is negative.

    Definition Classes
    Signed
  37. def signum(a: A): Int

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    Returns 0 if a is 0, 1 if a is positive, and -1 is a is negative.

    Returns 0 if a is 0, 1 if a is positive, and -1 is a is negative.

    Definition Classes
    SignedAdditiveCMonoidSigned
  38. def sum(as: TraversableOnce[A]): A

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    Definition Classes
    AdditiveMonoid
  39. def sumN(a: A, n: Int): A

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    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  40. def toOrdering: Ordering[A]

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    Definition Classes
    Order
  41. def toString(): String

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    Definition Classes
    Any
  42. def tryCompare(x: A, y: A): Option[Int]

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    Definition Classes
    PartialOrder
  43. def trySum(as: TraversableOnce[A]): Option[A]

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    Definition Classes
    AdditiveMonoid → AdditiveSemigroup
  44. def whenEqual(o: cats.kernel.Order[A]): cats.kernel.Order[A]

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    Definition Classes
    Order

Inherited from AdditiveCommutativeGroup[A]

Inherited from algebra.ring.AdditiveGroup[A]

Inherited from SignedAdditiveCMonoid[A]

Inherited from AdditiveCommutativeMonoid[A]

Inherited from AdditiveCommutativeSemigroup[A]

Inherited from algebra.ring.AdditiveMonoid[A]

Inherited from algebra.ring.AdditiveSemigroup[A]

Inherited from Signed[A]

Inherited from cats.kernel.Order[A]

Inherited from cats.kernel.PartialOrder[A]

Inherited from cats.kernel.Eq[A]

Inherited from Serializable

Inherited from Serializable

Inherited from Any

Ungrouped