InvariantRing

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: CommutativeGroup[U]

   Definition Classes

   AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

7. final def asInstanceOf[T0]: T0

   Definition Classes

   Any

8. def assertNotZero(v: U): Unit

   Definition Classes

   Monoid

9. def clone(): AnyRef

   Attributes

   protected[java.lang]

   Definition Classes

   AnyRef

   Annotations

   @throws( ... )

10. def combine(l: U, r: U): U

    Definition Classes

    Semigroup → Semigroup

11. def combineAll(t: TraversableOnce[U]): U

    Definition Classes

    Monoid → Monoid

12. def combineAllOption(as: TraversableOnce[U]): Option[U]

    Definition Classes

    Monoid → Semigroup

13. def combineN(a: U, n: Int): U

    Definition Classes

    Group → Monoid → Semigroup

14. def empty: U

    Definition Classes

    Monoid → Monoid

15. final def eq(arg0: AnyRef): Boolean

    Definition Classes

    AnyRef

16. def equals(that: Any): Boolean

    Definition Classes

    InvariantSemigroup → AnyRef → Any

17. def finalize(): Unit

    Attributes

    protected[java.lang]

    Definition Classes

    AnyRef

    Annotations

    @throws( classOf[java.lang.Throwable] )

18. def fromBigInt(n: BigInt): U

    Definition Classes

    Ring

19. def fromInt(n: Int): U

    Definition Classes

    Ring

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

    Definition Classes

    AnyRef → Any

21. implicit val group: Group[T]

    Definition Classes

    InvariantGroup

22. val hashCode: Int

    Definition Classes

    InvariantSemigroup → AnyRef → Any

23. def inverse(v: U): U

    Definition Classes

    Group → Group

24. def isEmpty(a: U)(implicit ev: Eq[U]): Boolean

    Definition Classes

    Monoid

25. final def isInstanceOf[T0]: Boolean

    Definition Classes

    Any

26. def isNonZero(v: U): Boolean

    Definition Classes

    Monoid

27. def isOne(a: U)(implicit ev: Eq[U]): Boolean

    Definition Classes

    MultiplicativeMonoid

28. def isZero(a: U)(implicit ev: Eq[U]): Boolean

    Definition Classes

    AdditiveMonoid

29. def minus(l: U, r: U): U

    Definition Classes

    InvariantGroup → AdditiveGroup

30. implicit val monoid: Monoid[T]

    Definition Classes

    InvariantMonoid

31. def multiplicative: algebra.Monoid[U]

    Definition Classes

    MultiplicativeMonoid → MultiplicativeSemigroup

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

    Definition Classes

    AnyRef

33. def negate(u: U): U

    Definition Classes

    InvariantGroup → AdditiveGroup

34. def nonZeroOption(v: U): Option[U]

    Definition Classes

    Monoid

35. final def notify(): Unit

    Definition Classes

    AnyRef

36. final def notifyAll(): Unit

    Definition Classes

    AnyRef

37. val one: U

    Definition Classes

    InvariantRing → Ring → MultiplicativeMonoid

38. def plus(l: U, r: U): U

    Definition Classes

    InvariantSemigroup → AdditiveSemigroup

39. def positivePow(a: U, n: Int): U

    Attributes

    protected[this]

    Definition Classes

    MultiplicativeSemigroup

40. def positiveSumN(a: U, n: Int): U

    Attributes

    protected[this]

    Definition Classes

    AdditiveSemigroup

41. def pow(a: U, n: Int): U

    Definition Classes

    MultiplicativeMonoid → MultiplicativeSemigroup

42. def product(iter: TraversableOnce[U]): U

    Definition Classes

    InvariantRing → Ring → MultiplicativeMonoid

43. def remove(l: U, r: U): U

    Definition Classes

    Group → Group

44. def repeatedCombineN(a: U, n: Int): U

    Attributes

    protected[this]

    Definition Classes

    Semigroup

45. implicit val ring: Ring[T]

46. implicit val semigroup: Semigroup[T]

    Definition Classes

    InvariantSemigroup

47. def sum(vs: TraversableOnce[U]): U

    Definition Classes

    Monoid → AdditiveMonoid

48. def sumN(a: U, n: Int): U

    Definition Classes

    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

49. def sumOption(iter: TraversableOnce[U]): Option[U]

    Returns an instance of T calculated by summing all instances in iter in one pass.

    Returns an instance of T calculated by summing all instances in iter in one pass. Returns None if iter is empty, else Some[T].

    iter

    instances of T to be combined

    returns

    None if iter is empty, else an option value containing the summed T

    Definition Classes

    InvariantSemigroup → Semigroup

    Note

    Override if there is a faster way to compute this sum than iter.reduceLeftOption using plus.

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

    Definition Classes

    AnyRef

51. def times(l: U, r: U): U

    Definition Classes

    InvariantRing → Ring → MultiplicativeSemigroup

52. def toString(): String

    Definition Classes

    AnyRef → Any

53. def tryProduct(as: TraversableOnce[U]): Option[U]

    Definition Classes

    MultiplicativeMonoid → MultiplicativeSemigroup

54. def trySum(as: TraversableOnce[U]): Option[U]

    Definition Classes

    AdditiveMonoid → AdditiveSemigroup

55. final def wait(): Unit

    Definition Classes

    AnyRef

    Annotations

    @throws( ... )

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

    Definition Classes

    AnyRef

    Annotations

    @throws( ... )

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

    Definition Classes

    AnyRef

    Annotations

    @throws( ... )

58. val zero: U

    Definition Classes

    InvariantMonoid → AdditiveMonoid