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scalation.math

ExtremeD

object ExtremeD

The ExtremeD object contains constants representing extreme values for Double (IEEE 754 double precision floating point numbers).

See also

http://docs.oracle.com/javase/8/docs/api/java/lang/Double.html

en.wikipedia.org/wiki/Double-precision_floating-point_format ------------------------------------------------------------------------------ 64 bits: 1 sign-bit, 11 exponent-bits, 52 mantissa-bits + 1 implicit

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  4. val EPSILON: Double

    Smallest double such that 1.0 + EPSILON != 1.0, slightly above 2^-53. Also, known as the "machine epsilon".

    Smallest double such that 1.0 + EPSILON != 1.0, slightly above 2^-53. Also, known as the "machine epsilon".

    See also

    https://issues.scala-lang.org/browse/SI-3791

  5. val MAX_EXPONENT: Int

    Largest exponent a finite double variable may have.

  6. val MAX_VALUE: Double

    Largest positive finite value of type double, 2^1023

  7. val MIN_EXPONENT: Int

    Smallest exponent a normalized double variable may have.

  8. val MIN_NORMAL: Double

    Smallest positive normal value of type double, 2^-1022 (retains full precision). Also, the smallest double such that 1.0 / 'SAFE_MIN' does not overflow.

  9. val MIN_VALUE: Double

    Smallest positive nonzero value of type double, 2^-1074 (minimal precision).

  10. val MOST_NEGATIVE: Double

    Most negative finite value of type double.

  11. val NEGATIVE_INFINITY: Double

    Special value representing negative infinity: 1111111111110...0 Ex: -1.0 / 0.0

    Special value representing negative infinity: 1111111111110...0 Ex: -1.0 / 0.0

    See also

    http://stackoverflow.com/questions/13317566/what-are-the-infinity-constants-in-java-really

  12. val NaN: Double

    Special value representing an undefined value, i.e., "Not a Number": s11111111111m (m != 0) Ex: 0.0 / 0.0 = indeterminate, sqrt (-1.0) = Complex (0.0 + 1.0i) (not representable as a Double)

    Special value representing an undefined value, i.e., "Not a Number": s11111111111m (m != 0) Ex: 0.0 / 0.0 = indeterminate, sqrt (-1.0) = Complex (0.0 + 1.0i) (not representable as a Double)

    See also

    https://en.wikipedia.org/wiki/NaN

  13. val POSITIVE_INFINITY: Double

    Special value representing positive infinity: 0111111111110...0 Ex: 1.0 / 0.0

    Special value representing positive infinity: 0111111111110...0 Ex: 1.0 / 0.0

    See also

    http://stackoverflow.com/questions/13317566/what-are-the-infinity-constants-in-java-really

  14. val TOL: Double

    Default tolerance should be much larger than the "machine epsilon".

    Default tolerance should be much larger than the "machine epsilon". Application dependent => redefine as needed per application.

  15. val _2_53: Double

    2^-53 = 1.1102230246251565E-16 is too small for the "machine epsilon".

  16. def approx(x: Double, y: Double): Boolean

    Return true if x == y approximately, i.e., the difference is strictly less than 'TOL'.

    Return true if x == y approximately, i.e., the difference is strictly less than 'TOL'.

    x

    the first value to compare

    y

    the second value to compare

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