Packages

case class Real(hi: Double, lo: Double = 0.0) extends Fractional[Real] with Ordered[Real] with Product with Serializable

The Real class provides higher precision floating point numbers using the Double Double technique, which supports 106 bits of precision. ----------------------------------------------------------------------------- Code adapted from DoubleDouble.java:

hi

the high portion of the real number

lo

the low portion of the real number

See also

oai.cwi.nl/oai/asset/9159/9159A.pdf -----------------------------------------------------------------------------

http://tsusiatsoftware.net/dd/main.html

Linear Supertypes
Product, Equals, Ordered[Real], Comparable[Real], Fractional[Real], Numeric[Real], Ordering[Real], PartialOrdering[Real], Equiv[Real], Serializable, Serializable, Comparator[Real], AnyRef, Any
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Inherited
  1. Real
  2. Product
  3. Equals
  4. Ordered
  5. Comparable
  6. Fractional
  7. Numeric
  8. Ordering
  9. PartialOrdering
  10. Equiv
  11. Serializable
  12. Serializable
  13. Comparator
  14. AnyRef
  15. Any
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Visibility
  1. Public
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Instance Constructors

  1. new Real(hi: Double, lo: Double = 0.0)

    hi

    the high portion of the real number

    lo

    the low portion of the real number

Type Members

  1. class FractionalOps extends scala.math.Fractional.Ops
    Definition Classes
    Fractional
  2. class Ops extends AnyRef
    Definition Classes
    Numeric

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. def !=~(y: Real): Boolean
  3. final def ##(): Int
    Definition Classes
    AnyRef → Any
  4. def %(x: Real): Real

    Compute the remainder of the 'this' divided by 'x', i.e., 'this mod x'.

    Compute the remainder of the 'this' divided by 'x', i.e., 'this mod x'.

    x

    the modulus

  5. def *(y: Real): Real

    Multiply two real numbers.

    Multiply two real numbers.

    y

    multiply this times y

  6. def +(y: Real): Real

    Add two real numbers.

    Add two real numbers.

    y

    add real y to this

  7. def -(y: Real): Real

    Subtract two real numbers.

    Subtract two real numbers.

    y

    subtract y from this

  8. def /(y: Real): Real

    Divide two real numbers.

    Divide two real numbers.

    y

    divide this by y

  9. def <(that: Real): Boolean
    Definition Classes
    Ordered
  10. def <=(that: Real): Boolean
    Definition Classes
    Ordered
  11. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  12. def =~(y: Real): Boolean

    Return whether two real numbers are nearly equal.

    Return whether two real numbers are nearly equal.

    y

    the compare 'this' with y

  13. def >(that: Real): Boolean
    Definition Classes
    Ordered
  14. def >=(that: Real): Boolean
    Definition Classes
    Ordered
  15. def abs: Real

    Return the absolute value of 'this' real number.

  16. def abs(x: Real): Real
    Definition Classes
    Numeric
  17. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  18. def ceil: Real

    Return the 'ceil'ing (integer above) of 'this' real number.

  19. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  20. def compare(y: Real): Int

    Compare 'this' real number with that real number 'y'.

    Compare 'this' real number with that real number 'y'.

    y

    that real number

    Definition Classes
    Real → Ordered
  21. def compare(x: Real, y: Real): Int

    Compare two real numbers (negative for <, zero for ==, positive for >).

    Compare two real numbers (negative for <, zero for ==, positive for >).

    x

    the first real number to compare

    y

    the second real number to compare

    Definition Classes
    Real → Ordering → Comparator
  22. def compareTo(that: Real): Int
    Definition Classes
    Ordered → Comparable
  23. def div(x: Real, y: Real): Real
    Definition Classes
    Real → Fractional
  24. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  25. def equals(x: Any): Boolean

    Override equals to determine whether 'this' real number equals real 'y'.

    Override equals to determine whether 'this' real number equals real 'y'.

    Definition Classes
    Real → Equals → Comparator → AnyRef → Any
  26. def equiv(x: Real, y: Real): Boolean
    Definition Classes
    Ordering → PartialOrdering → Equiv
  27. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  28. def floor: Real

    Return the floor (integer below) of 'this' real number.

  29. def fromInt(x: Int): Real

    Create a real number from an Int.

    Create a real number from an Int.

    Definition Classes
    Real → Numeric
  30. def fromLong(x: Long): Real

    Create a real number from an Long.

  31. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
  32. def gt(x: Real, y: Real): Boolean
    Definition Classes
    Ordering → PartialOrdering
  33. def gteq(x: Real, y: Real): Boolean
    Definition Classes
    Ordering → PartialOrdering
  34. def hashCode(): Int

    Must also override hashCode to be be compatible with equals.

    Must also override hashCode to be be compatible with equals.

    Definition Classes
    Real → AnyRef → Any
  35. val hi: Double
  36. def isInfinity: Boolean

    Determine whether 'this' number "is Infinite".

  37. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  38. def isNaN: Boolean

    Determine whether 'this' number "is Not a Number".

  39. val lo: Double
  40. def lt(x: Real, y: Real): Boolean
    Definition Classes
    Ordering → PartialOrdering
  41. def lteq(x: Real, y: Real): Boolean
    Definition Classes
    Ordering → PartialOrdering
  42. def max(y: Real): Real

    Return the maximum of 'this' and that real numbers.

    Return the maximum of 'this' and that real numbers.

    y

    that real number to compare with this

  43. def max(x: Real, y: Real): Real
    Definition Classes
    Ordering
  44. def min(y: Real): Real

    Return the minimum of 'this' and that real numbers.

    Return the minimum of 'this' and that real numbers.

    y

    that real number to compare with this

  45. def min(x: Real, y: Real): Real
    Definition Classes
    Ordering
  46. def minus(x: Real, y: Real): Real
    Definition Classes
    Real → Numeric
  47. implicit def mkNumericOps(lhs: Real): FractionalOps
    Definition Classes
    Fractional → Numeric
  48. implicit def mkOrderingOps(lhs: Real): Real.Ops
    Definition Classes
    Ordering
  49. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  50. def near_eq(x: Real, y: Real): Boolean
  51. def negate(x: Real): Real
    Definition Classes
    Real → Numeric
  52. final def notify(): Unit
    Definition Classes
    AnyRef
  53. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  54. def on[U](f: (U) ⇒ Real): Ordering[U]
    Definition Classes
    Ordering
  55. def one: Real
    Definition Classes
    Numeric
  56. def plus(x: Real, y: Real): Real
    Definition Classes
    Real → Numeric
  57. def pow(x: Real, y: Real): Real
  58. def pow(x: Real, k: Int): Real
  59. def rem(x: Real, y: Real): Real
  60. def reverse: Ordering[Real]
    Definition Classes
    Ordering → PartialOrdering
  61. def reversed(): Comparator[Real]
    Definition Classes
    Comparator
  62. def round: Long

    Return the 'round'ed (closest) integer to 'this' real number.

  63. def signum: Real

    Return the signum of 'this' real number, 1, 0, -1 for >0, =0, <0.

  64. def signum(x: Real): Int
    Definition Classes
    Numeric
  65. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  66. def thenComparing[U <: Comparable[_ >: U]](arg0: Function[_ >: Real, _ <: U]): Comparator[Real]
    Definition Classes
    Comparator
  67. def thenComparing[U](arg0: Function[_ >: Real, _ <: U], arg1: Comparator[_ >: U]): Comparator[Real]
    Definition Classes
    Comparator
  68. def thenComparing(arg0: Comparator[_ >: Real]): Comparator[Real]
    Definition Classes
    Comparator
  69. def thenComparingDouble(arg0: ToDoubleFunction[_ >: Real]): Comparator[Real]
    Definition Classes
    Comparator
  70. def thenComparingInt(arg0: ToIntFunction[_ >: Real]): Comparator[Real]
    Definition Classes
    Comparator
  71. def thenComparingLong(arg0: ToLongFunction[_ >: Real]): Comparator[Real]
    Definition Classes
    Comparator
  72. def times(x: Real, y: Real): Real
    Definition Classes
    Real → Numeric
  73. def toDouble: Double
  74. def toDouble(x: Real): Double

    Convert that/'this' real number to a Double.

    Convert that/'this' real number to a Double.

    x

    that real number to convert

    Definition Classes
    Real → Numeric
  75. def toFloat: Float
  76. def toFloat(x: Real): Float

    Convert that/'this' real number to a Float.

    Convert that/'this' real number to a Float.

    x

    that real number to convert

    Definition Classes
    Real → Numeric
  77. def toInt: Int
  78. def toInt(x: Real): Int

    Convert that/'this' real number to an Int.

    Convert that/'this' real number to an Int.

    x

    that real number to convert

    Definition Classes
    Real → Numeric
  79. def toLong: Long
  80. def toLong(x: Real): Long

    Convert 'this' real number to a Long.

    Convert 'this' real number to a Long.

    x

    that real number to convert

    Definition Classes
    Real → Numeric
  81. def toReal: Real
  82. def toReal(x: Real): Real

    Convert that/'this' real number to a Real.

    Convert that/'this' real number to a Real.

    x

    that real number to convert

  83. def toString(): String

    Convert 'this' real number to a String in standard form "dd.dd".

    Convert 'this' real number to a String in standard form "dd.dd". FIX: add support for scientific notation

    Definition Classes
    Real → AnyRef → Any
  84. def toString2: String

    Convert 'this' real number to a String of the form "(hi, lo)".

  85. def tryCompare(x: Real, y: Real): Some[Int]
    Definition Classes
    Ordering → PartialOrdering
  86. def unary_-(): Real

    Compute the unary minus (-).

  87. val val1: Double

    General alias for the parts of a real number

  88. val val2: Double

    General alias for the parts of a real number

  89. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  90. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  91. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  92. def zero: Real
    Definition Classes
    Numeric
  93. def ~^(y: Real): Real

    Raise a real number to the 'k'-th power.

    Raise a real number to the 'k'-th power.

    y

    the power/exponent (as a Real)

  94. def ~^(k: Int): Real

    Raise a real number to the 'k'-th power.

    Raise a real number to the 'k'-th power.

    k

    the power/exponent (as a Int)

  95. def (y: Real): Boolean

    Compare 'this' real number with that real number 'y' for inequality.

    Compare 'this' real number with that real number 'y' for inequality.

    y

    that real number

  96. def (y: Real): Boolean

    Compare 'this' real number with that real number 'y' for less than or equal to.

    Compare 'this' real number with that real number 'y' for less than or equal to.

    y

    that real number

  97. def (y: Real): Boolean

    Compare 'this' real number with that real number 'y' for greater than or equal to.

    Compare 'this' real number with that real number 'y' for greater than or equal to.

    y

    that real number

Inherited from Product

Inherited from Equals

Inherited from Ordered[Real]

Inherited from Comparable[Real]

Inherited from Fractional[Real]

Inherited from Numeric[Real]

Inherited from Ordering[Real]

Inherited from PartialOrdering[Real]

Inherited from Equiv[Real]

Inherited from Serializable

Inherited from Serializable

Inherited from Comparator[Real]

Inherited from AnyRef

Inherited from Any

Ungrouped