RationalAlgebra

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: Rational): Rational

   

   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

   RationalIsReal → Signed

5. def additive: CommutativeGroup[Rational]

   

   Definition Classes

   AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

6. def and(that: Eq[Rational]): Eq[Rational]

   

   Definition Classes

   Eq

7. final def asInstanceOf[T0]: T0

   

   Definition Classes

   Any

8. def ceil(a: Rational): Rational

   

   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

   RationalIsReal → IsReal

9. def clone(): AnyRef

   

   Attributes

   protected[java.lang]

   Definition Classes

   AnyRef

   Annotations

   @throws( ... )

10. def compare(x: Rational, y: Rational): Int

    

    Definition Classes

    RationalIsReal → Order

11. def comparison(x: Rational, y: Rational): Comparison

    

    Definition Classes

    Order

12. def div(a: Rational, b: Rational): Rational

    

    Definition Classes

    RationalIsField → MultiplicativeGroup

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

    

    Definition Classes

    AnyRef

14. def equals(arg0: Any): Boolean

    

    Definition Classes

    AnyRef → Any

15. def eqv(x: Rational, y: Rational): Boolean

    

    Definition Classes

    RationalIsReal → Order → PartialOrder → Eq

16. def euclideanFunction(a: Rational): BigInt

    

    Definition Classes

    Field → EuclideanRing

17. def finalize(): Unit

    

    Attributes

    protected[java.lang]

    Definition Classes

    AnyRef

    Annotations

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

18. def floor(a: Rational): Rational

    

    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

    RationalIsReal → IsReal

19. def fromBigInt(n: BigInt): Rational

    

    Definition Classes

    Ring

20. def fromDouble(n: Double): Rational

    

    Definition Classes

    RationalIsField → Field

21. def fromInt(n: Int): Rational

    

    Definition Classes

    RationalIsField → Ring

22. def gcd(x: Rational, y: Rational)(implicit ev: Eq[Rational]): Rational

    

    Definition Classes

    RationalIsField → GCDRing

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

    

    Definition Classes

    AnyRef → Any

24. def gt(x: Rational, y: Rational): Boolean

    

    Definition Classes

    RationalIsReal → Order → PartialOrder

25. def gteqv(x: Rational, y: Rational): Boolean

    

    Definition Classes

    RationalIsReal → Order → PartialOrder

26. def hashCode(): Int

    

    Definition Classes

    AnyRef → Any

27. final def isInstanceOf[T0]: Boolean

    

    Definition Classes

    Any

28. def isOne(a: Rational)(implicit ev: Eq[Rational]): Boolean

    

    Definition Classes

    MultiplicativeMonoid

29. def isSignNegative(a: Rational): Boolean

    

    Definition Classes

    Signed

30. def isSignNonNegative(a: Rational): Boolean

    

    Definition Classes

    Signed

31. def isSignNonPositive(a: Rational): Boolean

    

    Definition Classes

    Signed

32. def isSignNonZero(a: Rational): Boolean

    

    Definition Classes

    Signed

33. def isSignPositive(a: Rational): Boolean

    

    Definition Classes

    Signed

34. def isSignZero(a: Rational): Boolean

    

    Definition Classes

    Signed

35. def isWhole(a: Rational): Boolean

    

    Returns true iff a is a an integer.

    Returns true iff a is a an integer.

    Definition Classes

    RationalIsReal → IsReal

36. def isZero(a: Rational)(implicit ev: Eq[Rational]): Boolean

    

    Definition Classes

    AdditiveMonoid

37. def lcm(x: Rational, y: Rational)(implicit ev: Eq[Rational]): Rational

    

    Definition Classes

    RationalIsField → GCDRing

38. def lt(x: Rational, y: Rational): Boolean

    

    Definition Classes

    RationalIsReal → Order → PartialOrder

39. def lteqv(x: Rational, y: Rational): Boolean

    

    Definition Classes

    RationalIsReal → Order → PartialOrder

40. def max(x: Rational, y: Rational): Rational

    

    Definition Classes

    Order

41. def min(x: Rational, y: Rational): Rational

    

    Definition Classes

    Order

42. def minus(a: Rational, b: Rational): Rational

    

    Definition Classes

    RationalIsField → AdditiveGroup

43. def mod(a: Rational, b: Rational): Rational

    

    Definition Classes

    Field → EuclideanRing

44. def multiplicative: CommutativeGroup[Rational]

    

    Definition Classes

    MultiplicativeCommutativeGroup → MultiplicativeCommutativeMonoid → MultiplicativeCommutativeSemigroup → MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup

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

    

    Definition Classes

    AnyRef

46. def negate(a: Rational): Rational

    

    Definition Classes

    RationalIsField → AdditiveGroup

47. def neqv(x: Rational, y: Rational): Boolean

    

    Definition Classes

    RationalIsReal → Order → Eq

48. final def notify(): Unit

    

    Definition Classes

    AnyRef

49. final def notifyAll(): Unit

    

    Definition Classes

    AnyRef

50. def on[B](f: (B) ⇒ Rational): Order[B]

    

    Definition Classes

    Order → PartialOrder → Eq

51. def one: Rational

    

    Definition Classes

    RationalIsField → MultiplicativeMonoid

52. def or(that: Eq[Rational]): Eq[Rational]

    

    Definition Classes

    Eq

53. def partialCompare(x: Rational, y: Rational): Double

    

    Definition Classes

    Order → PartialOrder

54. def partialComparison(x: Rational, y: Rational): Option[Comparison]

    

    Definition Classes

    PartialOrder

55. def plus(a: Rational, b: Rational): Rational

    

    Definition Classes

    RationalIsField → AdditiveSemigroup

56. def pmax(x: Rational, y: Rational): Option[Rational]

    

    Definition Classes

    PartialOrder

57. def pmin(x: Rational, y: Rational): Option[Rational]

    

    Definition Classes

    PartialOrder

58. def positivePow(a: Rational, n: Int): Rational

    

    Attributes

    protected[this]

    Definition Classes

    MultiplicativeSemigroup

59. def positiveSumN(a: Rational, n: Int): Rational

    

    Attributes

    protected[this]

    Definition Classes

    AdditiveSemigroup

60. def pow(a: Rational, b: Int): Rational

    

    Definition Classes

    RationalIsField → MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup

61. def product(as: TraversableOnce[Rational]): Rational

    

    Definition Classes

    MultiplicativeMonoid

62. def quot(a: Rational, b: Rational): Rational

    

    Definition Classes

    Field → EuclideanRing

63. def quotmod(a: Rational, b: Rational): (Rational, Rational)

    

    Definition Classes

    Field → EuclideanRing

64. def reciprocal(x: Rational): Rational

    

    Definition Classes

    MultiplicativeGroup

65. def reverse: Order[Rational]

    

    Definition Classes

    Order → PartialOrder

66. def round(a: Rational): Rational

    

    Rounds a to the nearest integer.

    Rounds a to the nearest integer.

    Definition Classes

    RationalIsReal → IsReal

67. def sign(a: Rational): 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

    RationalIsReal → Signed

68. def signum(a: Rational): 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

    RationalIsReal → Signed

69. def sum(as: TraversableOnce[Rational]): Rational

    

    Definition Classes

    AdditiveMonoid

70. def sumN(a: Rational, n: Int): Rational

    

    Definition Classes

    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

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

    

    Definition Classes

    AnyRef

72. def times(a: Rational, b: Rational): Rational

    

    Definition Classes

    RationalIsField → MultiplicativeSemigroup

73. def toAlgebraic(a: Rational): Algebraic

    

    Definition Classes

    IsRational → IsAlgebraic

74. def toDouble(r: Rational): Double

    

    Approximates a as a Double.

    Approximates a as a Double.

    Definition Classes

    RationalIsReal → IsReal

75. def toOrdering: Ordering[Rational]

    

    Definition Classes

    Order

76. def toRational(a: Rational): Rational

    

    Definition Classes

    RationalIsReal → IsRational

77. def toReal(a: Rational): Real

    

    Definition Classes

    IsAlgebraic → IsReal

78. def toString(): String

    

    Definition Classes

    AnyRef → Any

79. def tryCompare(x: Rational, y: Rational): Option[Int]

    

    Definition Classes

    PartialOrder

80. def tryProduct(as: TraversableOnce[Rational]): Option[Rational]

    

    Definition Classes

    MultiplicativeMonoid → MultiplicativeSemigroup

81. def trySum(as: TraversableOnce[Rational]): Option[Rational]

    

    Definition Classes

    AdditiveMonoid → AdditiveSemigroup

82. final def wait(): Unit

    

    Definition Classes

    AnyRef

    Annotations

    @throws( ... )

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

    

    Definition Classes

    AnyRef

    Annotations

    @throws( ... )

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

    

    Definition Classes

    AnyRef

    Annotations

    @throws( ... )

85. def whenEqual(o: Order[Rational]): Order[Rational]

    

    Definition Classes

    Order

86. def zero: Rational

    

    Definition Classes

    RationalIsField → AdditiveMonoid