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

   AlgebraicIsReal → Signed

5. def additive: CommutativeGroup[Algebraic]

   

   Definition Classes

   AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

6. final def asInstanceOf[T0]: T0

   

   Definition Classes

   Any

7. def ceil(a: Algebraic): Algebraic

   

   Rounds a the nearest integer that is greater than or equal to a.

   Rounds a the nearest integer that is greater than or equal to a.

   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

   AlgebraicIsReal → Order

10. def comparison(x: Algebraic, y: Algebraic): Comparison

    

    Definition Classes

    Order

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

    

    Definition Classes

    AlgebraicIsField → MultiplicativeGroup

12. def emod(a: Algebraic, b: Algebraic): Algebraic

    

    Definition Classes

    Field → EuclideanRing

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

    

    Definition Classes

    AnyRef

14. def equals(arg0: Any): Boolean

    

    Definition Classes

    AnyRef → Any

15. def equot(a: Algebraic, b: Algebraic): Algebraic

    

    Definition Classes

    Field → EuclideanRing

16. def equotmod(a: Algebraic, b: Algebraic): (Algebraic, Algebraic)

    

    Definition Classes

    Field → EuclideanRing

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

    

    Definition Classes

    AlgebraicIsReal → Order → PartialOrder → Eq

18. def euclideanFunction(a: Algebraic): BigInt

    

    Definition Classes

    Field → EuclideanRing

19. def finalize(): Unit

    

    Attributes

    protected[java.lang]

    Definition Classes

    AnyRef

    Annotations

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

20. def floor(a: Algebraic): Algebraic

    

    Rounds a the nearest integer that is less than or equal to a.

    Rounds a the nearest integer that is less than or equal to a.

    Definition Classes

    AlgebraicIsReal → IsReal

21. def fmod(x: Algebraic, y: Algebraic): Algebraic

    

    Definition Classes

    TruncatedDivisionCRing → TruncatedDivision

22. def fpow(a: Algebraic, b: Algebraic): Algebraic

    

    Definition Classes

    AlgebraicIsField

23. def fquot(x: Algebraic, y: Algebraic): Algebraic

    

    Definition Classes

    TruncatedDivisionCRing → TruncatedDivision

24. def fquotmod(x: Algebraic, y: Algebraic): (Algebraic, Algebraic)

    

    Definition Classes

    TruncatedDivisionCRing → TruncatedDivision

25. def fromBigInt(n: BigInt): Algebraic

    

    Definition Classes

    Ring

26. def fromDouble(n: Double): Algebraic

    

    Definition Classes

    AlgebraicIsField → Field

27. def fromInt(n: Int): Algebraic

    

    Definition Classes

    AlgebraicIsField → Ring

28. def gcd(a: Algebraic, b: Algebraic)(implicit eqA: Eq[Algebraic]): Algebraic

    

    Definition Classes

    WithDefaultGCD → GCDRing

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

    

    Definition Classes

    AnyRef → Any

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

    

    Definition Classes

    Order → PartialOrder

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

    

    Definition Classes

    Order → PartialOrder

32. def hashCode(): Int

    

    Definition Classes

    AnyRef → Any

33. final def isInstanceOf[T0]: Boolean

    

    Definition Classes

    Any

34. def isOne(a: Algebraic)(implicit ev: Eq[Algebraic]): Boolean

    

    Definition Classes

    MultiplicativeMonoid

35. def isSignNegative(a: Algebraic): Boolean

    

    Definition Classes

    Signed

36. def isSignNonNegative(a: Algebraic): Boolean

    

    Definition Classes

    Signed

37. def isSignNonPositive(a: Algebraic): Boolean

    

    Definition Classes

    Signed

38. def isSignNonZero(a: Algebraic): Boolean

    

    Definition Classes

    Signed

39. def isSignPositive(a: Algebraic): Boolean

    

    Definition Classes

    Signed

40. def isSignZero(a: Algebraic): Boolean

    

    Definition Classes

    Signed

41. def isWhole(a: Algebraic): Boolean

    

    Returns true iff a is a an integer.

    Returns true iff a is a an integer.

    Definition Classes

    AlgebraicIsReal → IsReal

42. def isZero(a: Algebraic)(implicit ev: Eq[Algebraic]): Boolean

    

    Definition Classes

    AdditiveMonoid

43. def lcm(a: Algebraic, b: Algebraic)(implicit eqA: Eq[Algebraic]): Algebraic

    

    Definition Classes

    WithDefaultGCD → GCDRing

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

    

    Definition Classes

    Order → PartialOrder

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

    

    Definition Classes

    Order → PartialOrder

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

    

    Definition Classes

    Order

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

    

    Definition Classes

    Order

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

    

    Definition Classes

    AlgebraicIsField → AdditiveGroup

49. def multiplicative: CommutativeGroup[Algebraic]

    

    Definition Classes

    MultiplicativeCommutativeGroup → MultiplicativeCommutativeMonoid → MultiplicativeCommutativeSemigroup → MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup

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

    

    Definition Classes

    AnyRef

51. def negate(a: Algebraic): Algebraic

    

    Definition Classes

    AlgebraicIsField → AdditiveGroup

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

    

    Definition Classes

    AlgebraicIsReal → Order → Eq

53. final def notify(): Unit

    

    Definition Classes

    AnyRef

54. final def notifyAll(): Unit

    

    Definition Classes

    AnyRef

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

    

    Definition Classes

    AlgebraicIsField

56. def one: Algebraic

    

    Definition Classes

    AlgebraicIsField → MultiplicativeMonoid

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

    

    Definition Classes

    Order → PartialOrder

58. def partialComparison(x: Algebraic, y: Algebraic): Option[Comparison]

    

    Definition Classes

    PartialOrder

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

    

    Definition Classes

    AlgebraicIsField → AdditiveSemigroup

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

    

    Definition Classes

    PartialOrder

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

    

    Definition Classes

    PartialOrder

62. def positivePow(a: Algebraic, n: Int): Algebraic

    

    Attributes

    protected[this]

    Definition Classes

    MultiplicativeSemigroup

63. def positiveSumN(a: Algebraic, n: Int): Algebraic

    

    Attributes

    protected[this]

    Definition Classes

    AdditiveSemigroup

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

    

    Definition Classes

    AlgebraicIsField → MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup

65. def product(as: TraversableOnce[Algebraic]): Algebraic

    

    Definition Classes

    MultiplicativeMonoid

66. def reciprocal(x: Algebraic): Algebraic

    

    Definition Classes

    MultiplicativeGroup

67. def round(a: Algebraic): Algebraic

    

    Rounds a to the nearest integer.

    Rounds a to the nearest integer.

    Definition Classes

    AlgebraicIsReal → IsReal

68. 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

    AlgebraicIsReal → Signed

69. def signum(a: Algebraic): Int

    

    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

    AlgebraicIsReal → Signed

70. def sqrt(a: Algebraic): Algebraic

    

    Definition Classes

    NRoot

71. def sum(as: TraversableOnce[Algebraic]): Algebraic

    

    Definition Classes

    AdditiveMonoid

72. def sumN(a: Algebraic, n: Int): Algebraic

    

    Definition Classes

    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

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

    

    Definition Classes

    AnyRef

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

    

    Definition Classes

    AlgebraicIsField → MultiplicativeSemigroup

75. def tmod(x: Algebraic, y: Algebraic): Algebraic

    

    Definition Classes

    AlgebraicIsReal → TruncatedDivision

76. def toAlgebraic(x: Algebraic): Algebraic

    

    Definition Classes

    AlgebraicIsReal → IsAlgebraic

77. def toBigIntOpt(a: Algebraic): Opt[BigInt]

    

    Returns the integer a such that x = a * one, if it exists.

    Returns the integer a such that x = a * one, if it exists.

    Definition Classes

    AlgebraicIsReal → TruncatedDivision

78. def toDouble(x: Algebraic): Double

    

    Approximates a as a Double.

    Approximates a as a Double.

    Definition Classes

    AlgebraicIsReal → IsReal

79. def toOrdering: Ordering[Algebraic]

    

    Definition Classes

    Order

80. def toReal(a: Algebraic): Real

    

    Definition Classes

    IsAlgebraic → IsReal

81. def toString(): String

    

    Definition Classes

    AnyRef → Any

82. def tquot(x: Algebraic, y: Algebraic): Algebraic

    

    Definition Classes

    AlgebraicIsReal → TruncatedDivision

83. def tquotmod(x: Algebraic, y: Algebraic): (Algebraic, Algebraic)

    

    Definition Classes

    TruncatedDivision

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

    

    Definition Classes

    PartialOrder

85. def tryProduct(as: TraversableOnce[Algebraic]): Option[Algebraic]

    

    Definition Classes

    MultiplicativeMonoid → MultiplicativeSemigroup

86. def trySum(as: TraversableOnce[Algebraic]): Option[Algebraic]

    

    Definition Classes

    AdditiveMonoid → AdditiveSemigroup

87. final def wait(): Unit

    

    Definition Classes

    AnyRef

    Annotations

    @throws( ... )

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

    

    Definition Classes

    AnyRef

    Annotations

    @throws( ... )

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

    

    Definition Classes

    AnyRef

    Annotations

    @throws( ... )

90. def zero: Algebraic

    

    Definition Classes

    AlgebraicIsField → AdditiveMonoid