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object Rational extends Serializable

The Rational companion object defines the origin (zero), one and minus one as well as some utility functions.

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  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. val _0: Rational

    Zero (0) as a Rational number

  5. val _1: Rational

    One (1) as a Rational number

  6. val _1_big: BigDecimal

    One in BigDecimal

  7. val _1n: Rational

    Negative one (-1) as a Rational number

  8. def abs(x: Rational): Rational

    Return the absolute value of that rational number.

    Return the absolute value of that rational number.

    x

    that rational number

  9. def apply(qs: String): Rational

    Create a rational number from its primary string representation "a/b".

    Create a rational number from its primary string representation "a/b". Examples: "2/3", "2".

    qs

    the string form of a rational number

  10. def apply(qt: (Long, Long)): Rational

    Create a rational number from a pair of Longs.

    Create a rational number from a pair of Longs.

    qt

    the tuple form of a rational number

  11. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  12. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... ) @native() @HotSpotIntrinsicCandidate()
  13. def create(qs: String): Rational

    Create a rational number from its secondary string representation "(a, b)".

    Create a rational number from its secondary string representation "(a, b)". Examples: "(2, 3)", "(2, 1)".

    qs

    the string form of a rational number

  14. implicit def double2Rational(d: Double): Rational

    Implicit conversion from 'Double' to 'Rational'.

    Implicit conversion from 'Double' to 'Rational'.

    d

    the Double parameter to convert

  15. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  16. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  17. def fromBigDecimal(y: BigDecimal): Rational

    Create a rational number from a BigDecimal number.

    Create a rational number from a BigDecimal number.

    y

    the BigDecimal used to create the rational number

  18. def fromDouble(y: Double): Rational

    Create a rational number from a Double.

    Create a rational number from a Double.

    y

    the double used to create the rational number

  19. def fromDouble2(y: Double, md: Long = maxDen): Rational

    Create a rational number from a Double.

    Create a rational number from a Double. FIX: if den not a power of 2, it goes to 'md'.

    y

    the double used to create the rational number.

    md

    the maximum denominator

    See also

    http://rosettacode.org/wiki/Convert_decimal_number_to_rational

  20. def fromFloat(y: Float): Rational

    Create a rational number from a Float.

    Create a rational number from a Float.

    y

    the float used to create the rational number.

  21. def fromInt(n: Int): Rational

    Create a rational number from an Int.

    Create a rational number from an Int.

    n

    the integer used to create the rational number.

  22. def fromLong(n: Long): Rational

    Create a rational number from a Long.

    Create a rational number from a Long.

    n

    the long used to create the rational number.

  23. def from_BigDecimal(y: BigDecimal, md: Long = Long.MaxValue): (Long, Long)

    Determine the numerator and denonimator of the closest rational number to the given BigDecimal number.

    Determine the numerator and denonimator of the closest rational number to the given BigDecimal number.

    y

    the BigDecimal used to create the rational number

    md

    the maximum denominator

  24. def from_Double(y: Double, md: Long = maxDen): (Long, Long)

    Determine the numerator and denonimator of the closest rational number to the given BigDecimal number.

    Determine the numerator and denonimator of the closest rational number to the given BigDecimal number.

    y

    the double used to create the rational number

    md

    the maximum denominator

    See also

    http://stackoverflow.com/questions/5124743/algorithm-for-simplifying- decimal-to-fractions/5128558#5128558

  25. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  26. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  27. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  28. def make(s: String): Rational

    Make a rational number from a String of the form "12.3E+7".

    Make a rational number from a String of the form "12.3E+7".

    s

    the given String representation of a number

    See also

    http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html #BigDecimal%28java.lang.String%29

  29. def max(q: Rational, p: Rational): Rational

    Return the maximum of two rational numbers, q and p.

    Return the maximum of two rational numbers, q and p.

    q

    the first rational number to compare

    p

    the second rational number to compare

  30. val maxDen: Long

    Denominator (2 ~^ 54) big enough to capture largest Double significand (53 bits)

  31. def min(q: Rational, p: Rational): Rational

    Return the minimum of two rational numbers, q and p.

    Return the minimum of two rational numbers, q and p.

    q

    the first rational number to compare

    p

    the second rational number to compare

  32. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  33. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  34. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  35. implicit val num: Rational

    Implicit numeric value for establishing type

  36. implicit val ord: Ordering[Rational]

    Ordering for rational numbers

  37. def signum(r: Rational): Rational

    Return the signum (sgn) of a rational number.

    Return the signum (sgn) of a rational number. The values may be -1, 0, or 1.

    r

    the rational number to obtain the sigum of

  38. def sqrt(x: Rational): Rational

    Return the square root of that rational number.

    Return the square root of that rational number.

    x

    that rational number

  39. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  40. def toString(): String
    Definition Classes
    AnyRef → Any
  41. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
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    @throws( ... )
  42. final def wait(arg0: Long): Unit
    Definition Classes
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    @throws( ... ) @native()
  43. final def wait(): Unit
    Definition Classes
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    Annotations
    @throws( ... )

Deprecated Value Members

  1. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
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    @throws( classOf[java.lang.Throwable] ) @Deprecated
    Deprecated

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