spire.math

Rational

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

Self Type
Rational
Linear Supertypes
Ordered[Rational], Comparable[Rational], ScalaNumericConversions, ScalaNumericAnyConversions, ScalaNumber, java.lang.Number, Serializable, AnyRef, Any
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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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Visibility
  1. Public
  2. All

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 ceil: Rational

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

    Definition Classes
    Ordered
  7. abstract def compareToOne: Int

  8. abstract def denominator: SafeLong

  9. abstract def denominatorAsLong: Long

  10. abstract def doubleValue(): Double

    Definition Classes
    ScalaNumericAnyConversions
  11. abstract def floor: Rational

  12. abstract def isOne: Boolean

  13. abstract def isValidLong: Boolean

  14. abstract def isWhole(): Boolean

    Definition Classes
    Rational → ScalaNumericAnyConversions → ScalaNumber
  15. abstract def isZero: Boolean

  16. abstract def numerator: SafeLong

  17. abstract def numeratorAsLong: Long

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

  19. abstract def reciprocal: Rational

  20. abstract def round: Rational

  21. abstract def signum: Int

  22. abstract def toSafeLong: SafeLong

  23. abstract def unary_-(): Rational

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 <(that: Rational): Boolean

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

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

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

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

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

    Definition Classes
    Ordered
  10. def abs: Rational

  11. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  12. def byteValue(): Byte

    Definition Classes
    Rational → ScalaNumericAnyConversions → Number
  13. def clone(): AnyRef

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

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

    Definition Classes
    AnyRef
  16. def equals(that: Any): Boolean

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

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  18. def floatValue(): Float

    Definition Classes
    Rational → ScalaNumericAnyConversions → Number
  19. final def getClass(): Class[_]

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

    Definition Classes
    AnyRef → Any
  21. def intValue(): Int

    Definition Classes
    Rational → ScalaNumericAnyConversions → Number
  22. def inverse: Rational

  23. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  24. def isValidByte: Boolean

    Definition Classes
    ScalaNumericAnyConversions
  25. def isValidChar: Boolean

    Definition Classes
    ScalaNumericAnyConversions
  26. def isValidInt: Boolean

    Definition Classes
    ScalaNumericAnyConversions
  27. def isValidShort: Boolean

    Definition Classes
    ScalaNumericAnyConversions
  28. def limitDenominatorTo(limit: SafeLong): 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

  29. def limitTo(max: SafeLong): 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.

  30. def limitToInt: Rational

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

  31. def limitToLong: Rational

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

  32. def longValue(): Long

    Definition Classes
    Rational → ScalaNumericAnyConversions → Number
  33. def max(rhs: Rational): Rational

  34. def min(rhs: Rational): Rational

  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 roundTo(denom: SafeLong): Rational

  39. def shortValue(): Short

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

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

    Definition Classes
    AnyRef
  42. def toAlgebraic: Algebraic

  43. def toBigDecimal(mc: MathContext): BigDecimal

  44. def toBigDecimal(scale: Int, mode: RoundingMode): BigDecimal

  45. final def toBigInt: BigInt

  46. def toByte: Byte

    Definition Classes
    ScalaNumericAnyConversions
  47. def toChar: Char

    Definition Classes
    ScalaNumericAnyConversions
  48. def toDouble: Double

    Definition Classes
    ScalaNumericAnyConversions
  49. def toFloat: Float

    Definition Classes
    ScalaNumericAnyConversions
  50. def toInt: Int

    Definition Classes
    ScalaNumericAnyConversions
  51. def toLong: Long

    Definition Classes
    ScalaNumericAnyConversions
  52. def toReal: Real

  53. def toShort: Short

    Definition Classes
    ScalaNumericAnyConversions
  54. def toString(): String

    Definition Classes
    AnyRef → Any
  55. def underlying(): AnyRef

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

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

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  60. 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