spire.math

Rational

sealed abstract class Rational extends ScalaNumber with ScalaNumericConversions with Ordered[Rational]

Linear Supertypes
Ordered[Rational], Comparable[Rational], ScalaNumericConversions, ScalaNumericAnyConversions, ScalaNumber, java.lang.Number, Serializable, AnyRef, Any
Known Subclasses
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Inherited
  1. Rational
  2. Ordered
  3. Comparable
  4. ScalaNumericConversions
  5. ScalaNumericAnyConversions
  6. ScalaNumber
  7. Number
  8. Serializable
  9. AnyRef
  10. Any
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Instance Constructors

  1. new Rational()

Abstract Value Members

  1. abstract def *(rhs: Rational): Rational

  2. abstract def +(rhs: Rational): Rational

  3. abstract def -(rhs: Rational): Rational

  4. abstract def /(rhs: Rational): Rational

  5. abstract def compare(that: Rational): Int

    Definition Classes
    Ordered
  6. abstract def compareToOne: Int

  7. abstract def denominator: BigInt

  8. abstract def doubleValue(): Double

    Definition Classes
    ScalaNumericAnyConversions
  9. abstract def floatValue(): Float

    Definition Classes
    ScalaNumericAnyConversions
  10. abstract def intValue(): Int

    Definition Classes
    ScalaNumericAnyConversions
  11. abstract def isWhole(): Boolean

    Definition Classes
    ScalaNumericAnyConversions
  12. abstract def log(): Rational

  13. abstract def longValue(): Long

    Definition Classes
    ScalaNumericAnyConversions
  14. abstract def numerator: BigInt

  15. abstract def pow(exp: Int): Rational

  16. abstract def round: Rational

  17. abstract def toBigDecimal: BigDecimal

  18. abstract def toBigInt: BigInt

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. def %(rhs: Rational): Rational

  5. def /%(rhs: Rational): (Rational, Rational)

  6. def /~(rhs: Rational): Rational

  7. def <(that: Rational): Boolean

    Definition Classes
    Ordered
  8. def <=(that: Rational): Boolean

    Definition Classes
    Ordered
  9. final def ==(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  10. final def ==(arg0: Any): Boolean

    Definition Classes
    Any
  11. def >(that: Rational): Boolean

    Definition Classes
    Ordered
  12. def >=(that: Rational): Boolean

    Definition Classes
    Ordered
  13. def abs: Rational

  14. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  15. def byteValue(): Byte

    Definition Classes
    Rational → ScalaNumericAnyConversions → Number
  16. def ceil: Rational

  17. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws()
  18. def compareTo(that: Rational): Int

    Definition Classes
    Ordered → Comparable
  19. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  20. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any
  21. def finalize(): Unit

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

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

    Definition Classes
    AnyRef → Any
  24. def hashCode(): Int

    Definition Classes
    AnyRef → Any
  25. def inverse: Rational

  26. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  27. def isValidByte: Boolean

    Definition Classes
    ScalaNumericAnyConversions
  28. def isValidChar: Boolean

    Definition Classes
    ScalaNumericAnyConversions
  29. def isValidInt: Boolean

    Definition Classes
    ScalaNumericAnyConversions
  30. def isValidShort: Boolean

    Definition Classes
    ScalaNumericAnyConversions
  31. def limitDenominatorTo(limit: BigInt): Rational

    Finds the closest Rational to this Rational whose denominator is no larger than limit.

    Finds the closest Rational to this Rational whose denominator is no larger than limit.

    See http://en.wikipedia.org/wiki/Stern%E2%80%93Brocot_tree#Mediants_and_binary_search

  32. def limitTo(max: BigInt): Rational

    Returns a Rational whose denominator and numerator are no larger than max and whose value is close to the original.

    Returns a Rational whose denominator and numerator are no larger than max and whose value is close to the original. This applies, even if, for example, this Rational is greater than max. In that case, Rational(max, 1) is returned.

    max

    A positive integer.

  33. def limitToInt: Rational

    Returns a Rational whose numerator and denominator both fit in an Int.

  34. def limitToLong: Rational

    Returns a Rational whose numerator and denominator both fit in a Long.

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

    Definition Classes
    AnyRef
  36. final def notify(): Unit

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

    Definition Classes
    AnyRef
  38. def nroot(k: Int)(implicit ctxt: ApproximationContext[Rational]): Rational

    Find the n-th root of this Rational.

    Find the n-th root of this Rational. This requires an (implicit) ApproximationContext to bound the allowable absolute error of the answer.

  39. def pow(exp: Rational)(implicit ctxt: ApproximationContext[Rational]): Rational

    Returns this Rational to the exponent exp.

    Returns this Rational to the exponent exp. Both the numerator and denominator of exp must be valid integers. Anything larger will cause pow to throw an ArithmeticException.

  40. def shortValue(): Short

    Definition Classes
    Rational → ScalaNumericAnyConversions → Number
  41. def sign: Sign

  42. def signum: Int

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

    Definition Classes
    AnyRef
  44. def toByte: Byte

    Definition Classes
    ScalaNumericAnyConversions
  45. def toChar: Char

    Definition Classes
    ScalaNumericAnyConversions
  46. def toDouble: Double

    Definition Classes
    ScalaNumericAnyConversions
  47. def toFloat: Float

    Definition Classes
    ScalaNumericAnyConversions
  48. def toInt: Int

    Definition Classes
    ScalaNumericAnyConversions
  49. def toLong: Long

    Definition Classes
    ScalaNumericAnyConversions
  50. def toShort: Short

    Definition Classes
    ScalaNumericAnyConversions
  51. def toString(): String

    Definition Classes
    AnyRef → Any
  52. def unary_-(): Rational

  53. def underlying(): List[Any]

    Definition Classes
    Rational → ScalaNumericConversions → ScalaNumericAnyConversions → ScalaNumber
  54. def unifiedPrimitiveEquals(x: Any): Boolean

    Attributes
    protected
    Definition Classes
    ScalaNumericAnyConversions
  55. def unifiedPrimitiveHashcode(): Int

    Attributes
    protected
    Definition Classes
    ScalaNumericAnyConversions
  56. final def wait(): Unit

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws()

Inherited from Ordered[Rational]

Inherited from Comparable[Rational]

Inherited from ScalaNumericConversions

Inherited from ScalaNumericAnyConversions

Inherited from ScalaNumber

Inherited from java.lang.Number

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

Ungrouped