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object Real extends Serializable

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

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  1. final def !=(arg0: Any): Boolean
    Definition Classes
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  2. final def ##(): Int
    Definition Classes
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  3. final def ==(arg0: Any): Boolean
    Definition Classes
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  4. val E: Real

    Euler's number 'e' with 106 bits of precision

  5. val EPSILON: Double

    Approximate machine epsilon for Double-Double

  6. val NaN: Real

    Represents Not a Number

  7. val Pi: Real

    'pi' with 106 bits of precision

  8. val _0: Real

    Zero (0) as a Real number

  9. val _1: Real

    One (1) as a Real number

  10. val _10: Real

    Ten (10) as a Real number

  11. val _1by2: Real

    One Half (0.5) as a Real number

  12. val _1n: Real

    Negative One (-1) as a Real number

  13. val _2: Real

    Two (2) as a Real number

  14. val _2Pi: Real

    '2 pi' with 106 bits of precision

  15. val _512: Real

    2^9 as a real number

  16. val _700: Real

    700 as a real number

  17. def abs(x: Real): Real

    Return the absolute value of real number 'x'.

    Return the absolute value of real number 'x'.

    x

    the real number whose absolute value is sought

  18. def apply(xs: String): Real

    Create a real number from its primary string representation "dd.ddd".

    Create a real number from its primary string representation "dd.ddd". Example: "0.693147180559945309417232121458"

    xs

    the string form of a real number

  19. def apply(xt: (Double, Double)): Real

    Create a real number from a pair of Doubles.

    Create a real number from a pair of Doubles.

    xt

    the tuple form of a real number

  20. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  21. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
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    @throws( ... ) @native() @HotSpotIntrinsicCandidate()
  22. implicit def double2Real(d: Double): Real

    Implicit conversion from 'Double' to 'Real'.

    Implicit conversion from 'Double' to 'Real'.

    d

    the Double parameter to convert

  23. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  24. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  25. def exp(x: Real = _1): Real

    Return 'e' raised to the 'x'-th power 'e^x'. 'x' is rescaled to improve convergence. Rescaling causes slight reduction in precision. e = 2.718281828459045235360287471345 from scalation.math.Real.exp E = 2.718281828459045235360287471352 given constant

    Return 'e' raised to the 'x'-th power 'e^x'. 'x' is rescaled to improve convergence. Rescaling causes slight reduction in precision. e = 2.718281828459045235360287471345 from scalation.math.Real.exp E = 2.718281828459045235360287471352 given constant

    x

    the real number exponent

    See also

    http://mathworld.wolfram.com/e.html

    bt.pa.msu.edu/pub/papers/HICOSYMSU08/HICOSYMSU08.pdf FIX: use a faster and more precise algorithm

  26. final def getClass(): Class[_]
    Definition Classes
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    @native() @HotSpotIntrinsicCandidate()
  27. def hashCode(): Int
    Definition Classes
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    @native() @HotSpotIntrinsicCandidate()
  28. final def isInstanceOf[T0]: Boolean
    Definition Classes
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  29. def log(x: Real): Real

    Return the natural log (log base 'e') of real number 'x'.

    Return the natural log (log base 'e') of real number 'x'.

    x

    the real number whose log is sought

    See also

    bt.pa.msu.edu/pub/papers/HICOSYMSU08/HICOSYMSU08.pdf

  30. val log_2: Real

    Natural log of 2 as a real number

  31. def magnitude(x: Double): Int

    Determine the decimal magnitude of 'x', i.e., the largest integer 'k' such that '10^k <= x'.

    Determine the decimal magnitude of 'x', i.e., the largest integer 'k' such that '10^k <= x'.

    x

    the number to find the magnitude of

  32. def max(x: Real, y: Real): Real

    Return the maximum of two real numbers 'x' and 'y'.

    Return the maximum of two real numbers 'x' and 'y'.

    x

    the first real number to compare

    y

    the second real number to compare

  33. def min(x: Real, y: Real): Real

    Return the minimum of two real numbers 'x' and 'y'.

    Return the minimum of two real numbers 'x' and 'y'.

    x

    the first real number to compare

    y

    the second real number to compare

  34. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  35. final def notify(): Unit
    Definition Classes
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    @native() @HotSpotIntrinsicCandidate()
  36. final def notifyAll(): Unit
    Definition Classes
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    @native() @HotSpotIntrinsicCandidate()
  37. implicit val num: Real

    Implicit numeric value for establishing type

  38. implicit val ord: Ordering[Real]

    Ordering for real numbers

  39. def signum(r: Real): Real

    Return the signum (sgn) of a real number.

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

    r

    the real number to obtain the sigum of

  40. def sin(x: Real): Real

    Return the sin of real number 'x'.

    Return the sin of real number 'x'.

    x

    the real number whose sin is sought

  41. def sqrt(x: Real): Real

    Return the square root of real number 'x'.

    Return the square root of real number 'x'.

    x

    the real number whose square root is sought

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

Deprecated Value Members

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

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