spire.laws

RingLaws

trait RingLaws[A] extends GroupLaws[A]

Linear Supertypes
GroupLaws[A], Laws, AnyRef, Any
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  1. RingLaws
  2. GroupLaws
  3. Laws
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Type Members

  1. class AdditiveProperties extends SpireProperties with HasOneParent

    Definition Classes
    GroupLaws
  2. class DefaultProperties extends SpireProperties with HasOneParent

    Convenience class for property sets which may have a parent, but no bases.

  3. class GroupProperties extends DefaultProperties

    Definition Classes
    GroupLaws
  4. trait HasOneParent extends AnyRef

    Convenience trait to mix into subclasses of SpireProperties for property sets which only have one parent.

  5. class MultiplicativeProperties extends SpireProperties with HasOneParent

  6. class RingProperties extends SpireProperties

  7. class SimpleProperties extends DefaultProperties

    Convencience class for property sets without parents and bases.

  8. trait SpireProperties extends AnyRef

    This trait abstracts over the various ways how the laws of a type class can depend on the laws of other type classes.

Abstract Value Members

  1. implicit abstract def Arb: Arbitrary[A]

    Definition Classes
    RingLawsGroupLaws
  2. abstract val nonZeroLaws: GroupLaws[A]

  3. abstract def pred: Predicate[A]

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. implicit def Equ: Eq[A]

    Definition Classes
    RingLawsGroupLaws
  7. object RingProperties

  8. def abGroup(implicit A: AbGroup[A]): GroupProperties

    Definition Classes
    GroupLaws
  9. def additiveAbGroup(implicit A: AdditiveAbGroup[A]): AdditiveProperties

    Definition Classes
    GroupLaws
  10. def additiveGroup(implicit A: AdditiveGroup[A]): AdditiveProperties

    Definition Classes
    GroupLaws
  11. def additiveMonoid(implicit A: AdditiveMonoid[A]): AdditiveProperties

    Definition Classes
    GroupLaws
  12. def additiveSemigroup(implicit A: AdditiveSemigroup[A]): AdditiveProperties

    Definition Classes
    GroupLaws
  13. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  14. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  15. def emptyProperties: SpireProperties

    Empty property set.

    Empty property set.

    Definition Classes
    Laws
  16. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  17. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any
  18. def euclideanRing(implicit A: EuclideanRing[A]): RingProperties

  19. def field(implicit A: Field[A]): RingProperties

  20. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  21. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any
  22. def group(implicit A: Group[A]): GroupProperties

    Definition Classes
    GroupLaws
  23. def hashCode(): Int

    Definition Classes
    AnyRef → Any
  24. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  25. def monoid(implicit A: Monoid[A]): GroupProperties

    Definition Classes
    GroupLaws
  26. def multiplicativeAbGroup(implicit A: MultiplicativeAbGroup[A]): MultiplicativeProperties

  27. def multiplicativeGroup(implicit A: MultiplicativeGroup[A]): MultiplicativeProperties

  28. def multiplicativeMonoid(implicit A: MultiplicativeMonoid[A]): MultiplicativeProperties

  29. def multiplicativeSemigroup(implicit A: MultiplicativeSemigroup[A]): MultiplicativeProperties

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

    Definition Classes
    AnyRef
  31. final def notify(): Unit

    Definition Classes
    AnyRef
  32. final def notifyAll(): Unit

    Definition Classes
    AnyRef
  33. def rig(implicit A: Rig[A]): RingProperties

  34. def ring(implicit A: Ring[A]): RingProperties

  35. def rng(implicit A: Rng[A]): RingProperties

  36. def semigroup(implicit A: Semigroup[A]): GroupProperties

    Definition Classes
    GroupLaws
  37. def semiring(implicit A: Semiring[A]): RingProperties

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

    Definition Classes
    AnyRef
  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 withPred(_pred: Predicate[A], replace: Boolean = true): RingLaws[A]

Inherited from GroupLaws[A]

Inherited from Laws

Inherited from AnyRef

Inherited from Any

Ungrouped