AlgebraicAlgebra

Value Members

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

   

   Definition Classes

   AnyRef → Any

2. final def ##(): Int

   

   Definition Classes

   AnyRef → Any

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

   

   Definition Classes

   AnyRef → Any

4. def abs(a: Algebraic): Algebraic

   

   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

   AlgebraicIsSigned → Signed

5. def additive: AbGroup[Algebraic]

   

   Definition Classes

   AdditiveAbGroup → AdditiveCMonoid → AdditiveCSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

6. final def asInstanceOf[T0]: T0

   

   Definition Classes

   Any

7. def ceil(a: Algebraic): Algebraic

   

   Definition Classes

   AlgebraicIsReal → IsReal

8. def clone(): AnyRef

   

   Attributes

   protected[java.lang]

   Definition Classes

   AnyRef

   Annotations

   @throws( ... )

9. def compare(x: Algebraic, y: Algebraic): Int

   

   Definition Classes

   AlgebraicOrder → Order

10. def div(a: Algebraic, b: Algebraic): Algebraic

    

    Definition Classes

    AlgebraicIsField → MultiplicativeGroup

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

    

    Definition Classes

    AnyRef

12. def equals(arg0: Any): Boolean

    

    Definition Classes

    AnyRef → Any

13. def eqv(x: Algebraic, y: Algebraic): Boolean

    

    Returns true if x and y are equivalent, false otherwise.

    Returns true if x and y are equivalent, false otherwise.

    Definition Classes

    AlgebraicOrder → Order → PartialOrder → Eq

14. final def euclid(a: Algebraic, b: Algebraic)(implicit eq: Eq[Algebraic]): Algebraic

    

    Attributes

    protected[this]

    Definition Classes

    EuclideanRing

    Annotations

    @tailrec()

15. def finalize(): Unit

    

    Attributes

    protected[java.lang]

    Definition Classes

    AnyRef

    Annotations

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

16. def floor(a: Algebraic): Algebraic

    

    Definition Classes

    AlgebraicIsReal → IsReal

17. def fpow(a: Algebraic, b: Algebraic): Nothing

    

    Definition Classes

    AlgebraicIsNRoot → NRoot

18. def fromDouble(n: Double): Algebraic

    

    This is implemented in terms of basic Field ops.

    This is implemented in terms of basic Field ops. However, this is probably significantly less efficient than can be done with a specific type. So, it is recommended that this method is overriden.

    This is possible because a Double is a rational number.

    Definition Classes

    AlgebraicIsField → Field

19. def fromInt(n: Int): Algebraic

    

    Defined to be equivalent to additive.sumn(one, n).

    Defined to be equivalent to additive.sumn(one, n). That is, n repeated summations of this ring's one, or -one if n is negative.

    Definition Classes

    AlgebraicIsRing → Ring

20. def gcd(a: Algebraic, b: Algebraic): Algebraic

    

    Definition Classes

    AlgebraicIsEuclideanRing → EuclideanRing

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

    

    Definition Classes

    AnyRef → Any

22. def gt(x: Algebraic, y: Algebraic): Boolean

    

    Definition Classes

    Order → PartialOrder

23. def gteqv(x: Algebraic, y: Algebraic): Boolean

    

    Definition Classes

    Order → PartialOrder

24. def hashCode(): Int

    

    Definition Classes

    AnyRef → Any

25. final def isInstanceOf[T0]: Boolean

    

    Definition Classes

    Any

26. def isWhole(a: Algebraic): Boolean

    

    Definition Classes

    AlgebraicIsReal → IsReal

27. def isZero(a: Algebraic): Boolean

    

    Definition Classes

    Signed

28. def lcm(a: Algebraic, b: Algebraic): Algebraic

    

    Definition Classes

    EuclideanRing

29. def lt(x: Algebraic, y: Algebraic): Boolean

    

    Definition Classes

    Order → PartialOrder

30. def lteqv(x: Algebraic, y: Algebraic): Boolean

    

    Definition Classes

    Order → PartialOrder

31. def max(x: Algebraic, y: Algebraic): Algebraic

    

    Definition Classes

    Order

32. def min(x: Algebraic, y: Algebraic): Algebraic

    

    Definition Classes

    Order

33. def minus(a: Algebraic, b: Algebraic): Algebraic

    

    Definition Classes

    AlgebraicIsRing → AdditiveGroup

34. def mod(a: Algebraic, b: Algebraic): Algebraic

    

    Definition Classes

    AlgebraicIsEuclideanRing → EuclideanRing

35. def multiplicative: AbGroup[Algebraic]

    

    Definition Classes

    MultiplicativeAbGroup → MultiplicativeCMonoid → MultiplicativeCSemigroup → MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup

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

    

    Definition Classes

    AnyRef

37. def negate(a: Algebraic): Algebraic

    

    Definition Classes

    AlgebraicIsRing → AdditiveGroup

38. def neqv(x: Algebraic, y: Algebraic): Boolean

    

    Returns false if x and y are equivalent, true otherwise.

    Returns false if x and y are equivalent, true otherwise.

    Definition Classes

    AlgebraicOrder → Eq

39. final def notify(): Unit

    

    Definition Classes

    AnyRef

40. final def notifyAll(): Unit

    

    Definition Classes

    AnyRef

41. def nroot(a: Algebraic, k: Int): Algebraic

    

    Definition Classes

    AlgebraicIsNRoot → NRoot

42. def on[B](f: (B) ⇒ Algebraic): Order[B]

    

    Defines an order on B by mapping B to A using f and using As order to order B.

    Defines an order on B by mapping B to A using f and using As order to order B.

    Definition Classes

    Order → PartialOrder → Eq

43. def one: Algebraic

    

    Definition Classes

    AlgebraicIsRing → MultiplicativeMonoid

44. def partialCompare(x: Algebraic, y: Algebraic): Double

    

    Result of comparing x with y.

    Result of comparing x with y. Returns NaN if operands are not comparable. If operands are comparable, returns a Double whose sign is: - negative iff x < y - zero iff x === y - positive iff x > y

    Definition Classes

    Order → PartialOrder

45. def plus(a: Algebraic, b: Algebraic): Algebraic

    

    Definition Classes

    AlgebraicIsRing → AdditiveSemigroup

46. def pmax(x: Algebraic, y: Algebraic): Option[Algebraic]

    

    Returns Some(x) if x >= y, Some(y) if x < y, otherwise None.

    Returns Some(x) if x >= y, Some(y) if x < y, otherwise None.

    Definition Classes

    PartialOrder

47. def pmin(x: Algebraic, y: Algebraic): Option[Algebraic]

    

    Returns Some(x) if x <= y, Some(y) if x > y, otherwise None.

    Returns Some(x) if x <= y, Some(y) if x > y, otherwise None.

    Definition Classes

    PartialOrder

48. def pow(a: Algebraic, b: Int): Algebraic

    

    This is similar to Semigroup#pow, except that a pow 0 is defined to be the multiplicative identity.

    This is similar to Semigroup#pow, except that a pow 0 is defined to be the multiplicative identity.

    Definition Classes

    AlgebraicIsRing → Rig → Semiring

49. def quot(a: Algebraic, b: Algebraic): Algebraic

    

    Definition Classes

    AlgebraicIsEuclideanRing → EuclideanRing

50. def quotmod(a: Algebraic, b: Algebraic): (Algebraic, Algebraic)

    

    Definition Classes

    EuclideanRing

51. def reciprocal(x: Algebraic): Algebraic

    

    Definition Classes

    MultiplicativeGroup

52. def reverse: Order[Algebraic]

    

    Defines an ordering on A where all arrows switch direction.

    Defines an ordering on A where all arrows switch direction.

    Definition Classes

    Order → PartialOrder

53. def round(a: Algebraic): Algebraic

    

    Definition Classes

    AlgebraicIsReal → IsReal

54. def sign(a: Algebraic): Sign

    

    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

    AlgebraicIsSigned → Signed

55. def signum(a: Algebraic): Int

    

    Returns 0 if a is 0, > 0 if a is positive, and < 0 is a is negative.

    Returns 0 if a is 0, > 0 if a is positive, and < 0 is a is negative.

    Definition Classes

    AlgebraicIsSigned → Signed

56. def sqrt(a: Algebraic): Algebraic

    

    Definition Classes

    NRoot

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

    

    Definition Classes

    AnyRef

58. def times(a: Algebraic, b: Algebraic): Algebraic

    

    Definition Classes

    AlgebraicIsRing → MultiplicativeSemigroup

59. def toDouble(x: Algebraic): Double

    

    Definition Classes

    AlgebraicIsReal → IsReal

60. def toString(): String

    

    Definition Classes

    AnyRef → Any

61. def tryCompare(x: Algebraic, y: Algebraic): Option[Int]

    

    Result of comparing x with y.

    Result of comparing x with y. Returns None if operands are not comparable. If operands are comparable, returns Some[Int] where the Int sign is: - negative iff x < y - zero iff x == y - positive iff x > y

    Definition Classes

    PartialOrder

62. def tryGt(x: Algebraic, y: Algebraic): Option[Boolean]

    

    Definition Classes

    PartialOrder

63. def tryGteqv(x: Algebraic, y: Algebraic): Option[Boolean]

    

    Definition Classes

    PartialOrder

64. def tryLt(x: Algebraic, y: Algebraic): Option[Boolean]

    

    Definition Classes

    PartialOrder

65. def tryLteqv(x: Algebraic, y: Algebraic): Option[Boolean]

    

    Definition Classes

    PartialOrder

66. final def wait(): Unit

    

    Definition Classes

    AnyRef

    Annotations

    @throws( ... )

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

    

    Definition Classes

    AnyRef

    Annotations

    @throws( ... )

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

    

    Definition Classes

    AnyRef

    Annotations

    @throws( ... )

69. def zero: Algebraic

    

    Definition Classes

    AlgebraicIsRing → AdditiveMonoid