spire.algebra

Ring

trait Ring[A] extends Rig[A]

Ring represents a set (A) that is a group over addition (+) and a monoid over multiplication (*).

Ring implements some methods (for example fromInt) in terms of other more fundamental methods (zero, one and plus). Where possible, these methods should be overridden by more efficient implementations.

Linear Supertypes
Rig[A], AnyRef, Any
Known Subclasses
BigDecimalIsEuclideanRing, BigDecimalIsEuclideanRing, BigDecimalIsField, BigDecimalIsField, BigDecimalIsFractional, BigDecimalIsFractional, BigDecimalIsNumeric, BigDecimalIsNumeric, BigDecimalIsRing, BigDecimalIsRing, BigIntIsEuclideanRing, BigIntIsEuclideanRing, BigIntIsIntegral, BigIntIsIntegral, BigIntIsNumeric, BigIntIsNumeric, BigIntIsRing, BigIntIsRing, ByteIsRing, ByteIsRing, ComplexIsEuclideanRing, ComplexIsField, ComplexIsNumeric, ComplexIsRing, DoubleIsEuclideanRing, DoubleIsEuclideanRing, DoubleIsField, DoubleIsField, DoubleIsFractional, DoubleIsFractional, DoubleIsNumeric, DoubleIsNumeric, DoubleIsRing, DoubleIsRing, EuclideanRing, FPFilterIsEuclideanRing, FPFilterIsField, FPFilterIsFractional, FPFilterIsNumeric, FPFilterIsRing, Field, FloatIsEuclideanRing, FloatIsEuclideanRing, FloatIsField, FloatIsField, FloatIsFractional, FloatIsFractional, FloatIsNumeric, FloatIsNumeric, FloatIsRing, FloatIsRing, Fractional, GaussianIsEuclideanRing, GaussianIsNumeric, GaussianIsRing, IntIsEuclideanRing, IntIsEuclideanRing, IntIsIntegral, IntIsIntegral, IntIsNumeric, IntIsNumeric, IntIsRing, IntIsRing, Integral, LongIsEuclideanRing, LongIsEuclideanRing, LongIsIntegral, LongIsIntegral, LongIsNumeric, LongIsNumeric, LongIsRing, LongIsRing, Numeric, RationalIsEuclideanRing, RationalIsEuclideanRing, RationalIsField, RationalIsField, RationalIsFractional, RationalIsNumeric, RationalIsRing, RationalIsRing, RealIsEuclideanRing, RealIsEuclideanRing, RealIsField, RealIsField, RealIsFractional, RealIsFractional, RealIsNumeric, RealIsNumeric, RealIsRing, RealIsRing, SafeLongIsEuclideanRing, SafeLongIsEuclideanRing, SafeLongIsIntegral, SafeLongIsRing, SafeLongIsRing, ShortIsRing, ShortIsRing
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Inherited
  1. Ring
  2. Rig
  3. AnyRef
  4. Any
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Visibility
  1. Public
  2. All

Abstract Value Members

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

  2. abstract def one: A

    Definition Classes
    Rig

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

    Definition Classes
    Rig

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

    Definition Classes
    Rig

  5. abstract def zero: A

    Definition Classes
    Rig

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: Group[A]

    Definition Classes
    Ring → Rig

  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. def finalize(): Unit

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

  12. def fromInt(n: Int): A

  13. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any

  14. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  15. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  16. def minus(a: A, b: A): A

  17. def multiplicative: Monoid[A]

    Definition Classes
    Rig

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

    Definition Classes
    AnyRef

  19. final def notify(): Unit

    Definition Classes
    AnyRef

  20. final def notifyAll(): Unit

    Definition Classes
    AnyRef

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

    Definition Classes
    Rig

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

    Definition Classes
    AnyRef

  23. def toString(): String

    Definition Classes
    AnyRef → Any

  24. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws()

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

    Definition Classes
    AnyRef
    Annotations
    @throws()

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

    Definition Classes
    AnyRef
    Annotations
    @throws()

Inherited from Rig[A]

Inherited from AnyRef

Inherited from Any

Ungrouped