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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- 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
- val MAX_EXPONENT: Int
Largest exponent a finite double variable may have.
- val MAX_VALUE: Double
Largest positive finite value of type double, 2^1023
- val MIN_EXPONENT: Int
Smallest exponent a normalized double variable may have.
- 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.
- val MIN_VALUE: Double
Smallest positive nonzero value of type double, 2^-1074 (minimal precision).
- val MOST_NEGATIVE: Double
Most negative finite value of type double.
- 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
- 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
- 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
- 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.
- val _2_53: Double
2^-53 = 1.1102230246251565E-16 is too small for the "machine epsilon".
- 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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