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: BigInt

  9. abstract def denominatorAsLong: Long

  10. abstract def doubleValue(): Double

    Definition Classes
    ScalaNumericAnyConversions

  11. abstract def floatValue(): Float

    Definition Classes
    ScalaNumericAnyConversions

  12. abstract def floor: Rational

  13. abstract def gcd(rhs: Rational): Rational

  14. abstract def intValue(): Int

    Definition Classes
    ScalaNumericAnyConversions

  15. abstract def isWhole(): Boolean

    Definition Classes
    Rational → ScalaNumericAnyConversions → ScalaNumber

  16. abstract def longValue(): Long

    Definition Classes
    ScalaNumericAnyConversions

  17. abstract def numerator: BigInt

  18. abstract def numeratorAsLong: Long

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

  20. abstract def reciprocal: Rational

  21. abstract def round: Rational

  22. abstract def toBigDecimal: BigDecimal

  23. 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 clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  17. def compareTo(that: Rational): Int

    Definition Classes
    Ordered → Comparable

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

    Definition Classes
    AnyRef

  19. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any

  20. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )

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

    Definition Classes
    AnyRef → Any

  22. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  23. def inverse: Rational

  24. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  25. def isValidByte: Boolean

    Definition Classes
    ScalaNumericAnyConversions

  26. def isValidChar: Boolean

    Definition Classes
    ScalaNumericAnyConversions

  27. def isValidInt: Boolean

    Definition Classes
    ScalaNumericAnyConversions

  28. def isValidShort: Boolean

    Definition Classes
    ScalaNumericAnyConversions

  29. 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

  30. 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.

  31. def limitToInt: Rational

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

  32. def limitToLong: Rational

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

  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 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 roundTo(denom: SafeLong): Rational

  41. def shortValue(): Short

    Definition Classes
    Rational → ScalaNumericAnyConversions → Number

  42. def sign: Sign

  43. def signum: Int

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

    Definition Classes
    AnyRef

  45. def toByte: Byte

    Definition Classes
    ScalaNumericAnyConversions

  46. def toChar: Char

    Definition Classes
    ScalaNumericAnyConversions

  47. def toDouble: Double

    Definition Classes
    ScalaNumericAnyConversions

  48. def toFloat: Float

    Definition Classes
    ScalaNumericAnyConversions

  49. def toInt: Int

    Definition Classes
    ScalaNumericAnyConversions

  50. def toLong: Long

    Definition Classes
    ScalaNumericAnyConversions

  51. def toShort: Short

    Definition Classes
    ScalaNumericAnyConversions

  52. def toString(): String

    Definition Classes
    AnyRef → Any

  53. def unary_-(): Rational

  54. def underlying(): AnyRef

    Definition Classes
    Rational → ScalaNumericConversions → ScalaNumericAnyConversions → ScalaNumber

  55. def unifiedPrimitiveEquals(x: Any): Boolean

    Attributes
    protected
    Definition Classes
    ScalaNumericAnyConversions

  56. def unifiedPrimitiveHashcode(): Int

    Attributes
    protected
    Definition Classes
    ScalaNumericAnyConversions

  57. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  59. 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