spire.math

RationalIsNumeric

trait RationalIsNumeric extends Numeric[Rational] with RationalIsField with RationalIsNRoot with ConvertableFromRational with ConvertableToRational with RationalOrder with RationalIsSigned

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Inherited
  1. RationalIsNumeric
  2. RationalIsSigned
  3. RationalOrder
  4. ConvertableToRational
  5. ConvertableFromRational
  6. RationalIsNRoot
  7. RationalIsField
  8. RationalIsEuclideanRing
  9. RationalIsRing
  10. Numeric
  11. Signed
  12. Order
  13. Eq
  14. ConvertableTo
  15. ConvertableFrom
  16. NRoot
  17. Field
  18. MultiplicativeAbGroup
  19. MultiplicativeGroup
  20. EuclideanRing
  21. Ring
  22. Rng
  23. AdditiveAbGroup
  24. AdditiveGroup
  25. Rig
  26. MultiplicativeMonoid
  27. AdditiveMonoid
  28. Semiring
  29. MultiplicativeSemigroup
  30. AdditiveSemigroup
  31. AnyRef
  32. Any
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Abstract Value Members

  1. implicit abstract def context: ApproximationContext[Rational]

    Definition Classes
    RationalIsNRoot

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 abs(a: Rational): Rational

    Definition Classes
    RationalIsSignedSigned
  7. def additive: AbGroup[Rational]

  8. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  9. def ceil(a: Rational): Rational

    Definition Classes
    RationalIsFieldField
  10. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws()
  11. def compare(x: Rational, y: Rational): Int

    Definition Classes
    RationalOrderOrder
  12. def div(a: Rational, b: Rational): Rational

    Definition Classes
    RationalIsFieldMultiplicativeGroup
  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
    RationalOrderOrderEq
  16. final def euclid(a: Rational, b: Rational)(implicit eq: Eq[Rational]): Rational

    Attributes
    protected[this]
    Definition Classes
    EuclideanRing
    Annotations
    @tailrec()
  17. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws()
  18. def floor(a: Rational): Rational

    Definition Classes
    RationalIsFieldField
  19. def fpow(a: Rational, b: Rational): Rational

    Definition Classes
    RationalIsNRootNRoot
  20. def fromBigDecimal(a: BigDecimal): Rational

    Definition Classes
    ConvertableToRationalConvertableTo
  21. def fromBigInt(a: BigInt): Rational

    Definition Classes
    ConvertableToRationalConvertableTo
  22. def fromByte(a: Byte): Rational

    Definition Classes
    ConvertableToRationalConvertableTo
  23. def fromDouble(n: Double): Rational

    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
    RationalIsNumericConvertableToRationalRationalIsFieldConvertableToField
  24. def fromFloat(a: Float): Rational

    Definition Classes
    ConvertableToRationalConvertableTo
  25. def fromInt(n: Int): Rational

  26. def fromLong(a: Long): Rational

    Definition Classes
    ConvertableToRationalConvertableTo
  27. def fromRational(a: Rational): Rational

    Definition Classes
    ConvertableToRationalConvertableTo
  28. def fromShort(a: Short): Rational

    Definition Classes
    ConvertableToRationalConvertableTo
  29. def fromType[B](b: B)(implicit arg0: ConvertableFrom[B]): Rational

    Definition Classes
    ConvertableToRationalConvertableTo
  30. def gcd(a: Rational, b: Rational): Rational

    Definition Classes
    RationalIsEuclideanRingEuclideanRing
  31. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any
  32. def gt(x: Rational, y: Rational): Boolean

    Definition Classes
    RationalOrderOrder
  33. def gteqv(x: Rational, y: Rational): Boolean

    Definition Classes
    RationalOrderOrder
  34. def hashCode(): Int

    Definition Classes
    AnyRef → Any
  35. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  36. def isWhole(a: Rational): Boolean

    Definition Classes
    RationalIsFieldField
  37. def lcm(a: Rational, b: Rational): Rational

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

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

    Definition Classes
    RationalOrderOrder
  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
    RationalIsRingAdditiveGroup
  43. def mod(a: Rational, b: Rational): Rational

    Definition Classes
    RationalIsEuclideanRingEuclideanRing
  44. def multiplicative: AbGroup[Rational]

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

    Definition Classes
    AnyRef
  46. def negate(a: Rational): Rational

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

    Definition Classes
    RationalOrderEq
  48. final def notify(): Unit

    Definition Classes
    AnyRef
  49. final def notifyAll(): Unit

    Definition Classes
    AnyRef
  50. def nroot(a: Rational, k: Int): Rational

    Definition Classes
    RationalIsNRootNRoot
  51. def on[B](f: (B) ⇒ Rational): Order[B]

    Definition Classes
    OrderEq
  52. def one: Rational

    Definition Classes
    RationalIsRingMultiplicativeMonoid
  53. def plus(a: Rational, b: Rational): Rational

    Definition Classes
    RationalIsRingAdditiveSemigroup
  54. def pow(a: Rational, b: Int): Rational

    Definition Classes
    RationalIsRingRigSemiring
  55. def quot(a: Rational, b: Rational): Rational

    Definition Classes
    RationalIsEuclideanRingEuclideanRing
  56. def quotmod(a: Rational, b: Rational): (Rational, Rational)

    Definition Classes
    RationalIsEuclideanRingEuclideanRing
  57. def reciprocal(x: Rational): Rational

    Definition Classes
    MultiplicativeGroup
  58. def reverse: Order[Rational]

    Definition Classes
    Order
  59. def round(a: Rational): Rational

    Definition Classes
    RationalIsFieldField
  60. def sign(a: Rational): Sign

    Definition Classes
    RationalIsSignedSigned
  61. def signum(a: Rational): Int

    Definition Classes
    RationalIsSignedSigned
  62. def sqrt(a: Rational): Rational

    Definition Classes
    NRoot
  63. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  64. def times(a: Rational, b: Rational): Rational

  65. def toBigDecimal(a: Rational): BigDecimal

  66. def toBigInt(a: Rational): BigInt

  67. def toByte(a: Rational): Byte

  68. def toDouble(a: Rational): Double

  69. def toFloat(a: Rational): Float

  70. def toInt(a: Rational): Int

  71. def toLong(a: Rational): Long

  72. def toNumber(a: Rational): Number

  73. def toRational(a: Rational): Rational

  74. def toShort(a: Rational): Short

  75. def toString(a: Rational): String

  76. def toString(): String

    Definition Classes
    AnyRef → Any
  77. def toType[B](a: Rational)(implicit arg0: ConvertableTo[B]): B

  78. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws()
  79. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws()
  80. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws()
  81. def zero: Rational

    Definition Classes
    RationalIsRingAdditiveMonoid

Inherited from RationalIsSigned

Inherited from RationalOrder

Inherited from ConvertableToRational

Inherited from ConvertableFromRational

Inherited from RationalIsNRoot

Inherited from RationalIsField

Inherited from RationalIsEuclideanRing

Inherited from RationalIsRing

Inherited from Numeric[Rational]

Inherited from Signed[Rational]

Inherited from Order[Rational]

Inherited from Eq[Rational]

Inherited from ConvertableTo[Rational]

Inherited from ConvertableFrom[Rational]

Inherited from NRoot[Rational]

Inherited from Field[Rational]

Inherited from MultiplicativeGroup[Rational]

Inherited from EuclideanRing[Rational]

Inherited from Ring[Rational]

Inherited from Rng[Rational]

Inherited from AdditiveAbGroup[Rational]

Inherited from AdditiveGroup[Rational]

Inherited from Rig[Rational]

Inherited from MultiplicativeMonoid[Rational]

Inherited from AdditiveMonoid[Rational]

Inherited from Semiring[Rational]

Inherited from AdditiveSemigroup[Rational]

Inherited from AnyRef

Inherited from Any

Ungrouped